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logic-v2
已知字母等式:HM + MHQM + QHSSS + SMM = MQQHM(其中HM是2位数、MHQM是4位数、QHSSS是5位数、SMM是3位数、MQQHM是5位数),每个字母代表一个数字,不同字母代表不同数字。请找出让等式成立的数字替换方案。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。
{ "game_data": { "answer": "84 + 4834 + 38222 + 244 = 43384", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": null, "E": null, "F": null, "G": null, "H": 8, "I": null, "J": null, "K": null, "L": null, "M": 4, "N": null, "O": null, "P": null, "Q": 3, "R": null, "S": 2, "T": null, "U": null, "V": null, "W": null, "X": null, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "HM", "MHQM", "QHSSS", "SMM", "MQQHM" ], "num_letter": 4, "numbers": [ 84, 4834, 38222, 244, 43384 ], "operator_level": 3, "operator_num": 3, "operators": [ "+", "+", "+" ], "seed": 23365590, "trace_id": "7ef2979e-29d7-412b-b9af-0a1a1205a6b3" }, "question": "已知字母等式:HM + MHQM + QHSSS + SMM = MQQHM(其中HM是2位数、MHQM是4位数、QHSSS是5位数、SMM是3位数、MQQHM是5位数),每个字母代表一个数字,不同字母代表不同数字。请找出让等式成立的数字替换方案。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。" }, "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": null, "E": null, "F": null, "G": null, "H": 8, "I": null, "J": null, "K": null, "L": null, "M": 4, "N": null, "O": null, "P": null, "Q": 3, "R": null, "S": 2, "T": null, "U": null, "V": null, "W": null, "X": null, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "HM", "MHQM", "QHSSS", "SMM", "MQQHM" ], "num_letter": 4, "numbers": [ 84, 4834, 38222, 244, 43384 ], "operator_level": 3, "operator_num": 3, "operators": [ "+", "+", "+" ], "seed": 23365590, "trace_id": "7ef2979e-29d7-412b-b9af-0a1a1205a6b3" }, "seed": 23365590, "task_id": 323365590, "task_type": "cryptarithm" }
logic-v2
In the cryptarithm: WAWACA - YAC = WAAAWC, each letter stands for a different digit (WAWACA is 6 digits, YAC is 3 digits, and WAAAWC is 6 digits). Determine what each letter represents to make the equation true. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits.
{ "game_data": { "answer": "767636 - 963 = 766673", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": 6, "B": null, "C": 3, "D": null, "E": null, "F": null, "G": null, "H": null, "I": null, "J": null, "K": null, "L": null, "M": null, "N": null, "O": null, "P": null, "Q": null, "R": null, "S": null, "T": null, "U": null, "V": null, "W": 7, "X": null, "Y": 9, "Z": null }, "language": "english", "letter_words": [ "WAWACA", "YAC", "WAAAWC" ], "num_letter": 4, "numbers": [ 767636, 963, 766673 ], "operator_level": 2, "operator_num": 1, "operators": [ "-" ], "seed": 68447193, "trace_id": "3e66b61b-cde1-4830-83f1-6b0a78274a27" }, "question": "In the cryptarithm: WAWACA - YAC = WAAAWC, each letter stands for a different digit (WAWACA is 6 digits, YAC is 3 digits, and WAAAWC is 6 digits). Determine what each letter represents to make the equation true. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits." }, "metadata": { "digit_map": { "A": 6, "B": null, "C": 3, "D": null, "E": null, "F": null, "G": null, "H": null, "I": null, "J": null, "K": null, "L": null, "M": null, "N": null, "O": null, "P": null, "Q": null, "R": null, "S": null, "T": null, "U": null, "V": null, "W": 7, "X": null, "Y": 9, "Z": null }, "language": "english", "letter_words": [ "WAWACA", "YAC", "WAAAWC" ], "num_letter": 4, "numbers": [ 767636, 963, 766673 ], "operator_level": 2, "operator_num": 1, "operators": [ "-" ], "seed": 68447193, "trace_id": "3e66b61b-cde1-4830-83f1-6b0a78274a27" }, "seed": 68447193, "task_id": 368447193, "task_type": "cryptarithm" }
logic-v2
已知字母等式:LUNN - GLGU + L = UUU(其中LUNN是4位数、GLGU是4位数、L是1位数、UUU是3位数),每个字母代表一个数字,不同字母代表不同数字。请找出让等式成立的数字替换方案。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。
{ "game_data": { "answer": "9755 - 8987 + 9 = 777", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": null, "E": null, "F": null, "G": 8, "H": null, "I": null, "J": null, "K": null, "L": 9, "M": null, "N": 5, "O": null, "P": null, "Q": null, "R": null, "S": null, "T": null, "U": 7, "V": null, "W": null, "X": null, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "LUNN", "GLGU", "L", "UUU" ], "num_letter": 4, "numbers": [ 9755, 8987, 9, 777 ], "operator_level": 1, "operator_num": 2, "operators": [ "-", "+" ], "seed": 25304875, "trace_id": "55278a4e-e138-4caa-a592-0e0c01efabb6" }, "question": "已知字母等式:LUNN - GLGU + L = UUU(其中LUNN是4位数、GLGU是4位数、L是1位数、UUU是3位数),每个字母代表一个数字,不同字母代表不同数字。请找出让等式成立的数字替换方案。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。" }, "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": null, "E": null, "F": null, "G": 8, "H": null, "I": null, "J": null, "K": null, "L": 9, "M": null, "N": 5, "O": null, "P": null, "Q": null, "R": null, "S": null, "T": null, "U": 7, "V": null, "W": null, "X": null, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "LUNN", "GLGU", "L", "UUU" ], "num_letter": 4, "numbers": [ 9755, 8987, 9, 777 ], "operator_level": 1, "operator_num": 2, "operators": [ "-", "+" ], "seed": 25304875, "trace_id": "55278a4e-e138-4caa-a592-0e0c01efabb6" }, "seed": 25304875, "task_id": 325304875, "task_type": "cryptarithm" }
logic-v2
In this alphametic puzzle: SCNNNC + NSSUNN - NUSNU = CSUSNS, each letter represents a distinct digit from 0-9. Determine the digits that make the equation valid. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits.
{ "game_data": { "answer": "154445 + 411844 - 48148 = 518141", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": null, "C": 5, "D": null, "E": null, "F": null, "G": null, "H": null, "I": null, "J": null, "K": null, "L": null, "M": null, "N": 4, "O": null, "P": null, "Q": null, "R": null, "S": 1, "T": null, "U": 8, "V": null, "W": null, "X": null, "Y": null, "Z": null }, "language": "english", "letter_words": [ "SCNNNC", "NSSUNN", "NUSNU", "CSUSNS" ], "num_letter": 4, "numbers": [ 154445, 411844, 48148, 518141 ], "operator_level": 2, "operator_num": 2, "operators": [ "+", "-" ], "seed": 32432282, "trace_id": "5bd06d0a-47f6-4c78-a61e-d11cfc69ec5e" }, "question": "In this alphametic puzzle: SCNNNC + NSSUNN - NUSNU = CSUSNS, each letter represents a distinct digit from 0-9. Determine the digits that make the equation valid. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits." }, "metadata": { "digit_map": { "A": null, "B": null, "C": 5, "D": null, "E": null, "F": null, "G": null, "H": null, "I": null, "J": null, "K": null, "L": null, "M": null, "N": 4, "O": null, "P": null, "Q": null, "R": null, "S": 1, "T": null, "U": 8, "V": null, "W": null, "X": null, "Y": null, "Z": null }, "language": "english", "letter_words": [ "SCNNNC", "NSSUNN", "NUSNU", "CSUSNS" ], "num_letter": 4, "numbers": [ 154445, 411844, 48148, 518141 ], "operator_level": 2, "operator_num": 2, "operators": [ "+", "-" ], "seed": 32432282, "trace_id": "5bd06d0a-47f6-4c78-a61e-d11cfc69ec5e" }, "seed": 32432282, "task_id": 332432282, "task_type": "cryptarithm" }
logic-v2
解决密码算术谜题:RRQKTR + RRRK + TRKT - QRT = RKQKTQ(其中RRQKTR是6位数、RRRK是4位数、TRKT是4位数、QRT是3位数、RKQKTQ是6位数),其中每个字母表示0-9之间的一个数字,不同字母代表不同数字。请计算出使等式成立的数字等式。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。
{ "game_data": { "answer": "887918 + 8889 + 1891 - 781 = 897917", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": null, "E": null, "F": null, "G": null, "H": null, "I": null, "J": null, "K": 9, "L": null, "M": null, "N": null, "O": null, "P": null, "Q": 7, "R": 8, "S": null, "T": 1, "U": null, "V": null, "W": null, "X": null, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "RRQKTR", "RRRK", "TRKT", "QRT", "RKQKTQ" ], "num_letter": 4, "numbers": [ 887918, 8889, 1891, 781, 897917 ], "operator_level": 2, "operator_num": 3, "operators": [ "+", "+", "-" ], "seed": 56126248, "trace_id": "1e5ba129-e0e3-475f-aca5-8393255fe9f0" }, "question": "解决密码算术谜题:RRQKTR + RRRK + TRKT - QRT = RKQKTQ(其中RRQKTR是6位数、RRRK是4位数、TRKT是4位数、QRT是3位数、RKQKTQ是6位数),其中每个字母表示0-9之间的一个数字,不同字母代表不同数字。请计算出使等式成立的数字等式。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。" }, "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": null, "E": null, "F": null, "G": null, "H": null, "I": null, "J": null, "K": 9, "L": null, "M": null, "N": null, "O": null, "P": null, "Q": 7, "R": 8, "S": null, "T": 1, "U": null, "V": null, "W": null, "X": null, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "RRQKTR", "RRRK", "TRKT", "QRT", "RKQKTQ" ], "num_letter": 4, "numbers": [ 887918, 8889, 1891, 781, 897917 ], "operator_level": 2, "operator_num": 3, "operators": [ "+", "+", "-" ], "seed": 56126248, "trace_id": "1e5ba129-e0e3-475f-aca5-8393255fe9f0" }, "seed": 56126248, "task_id": 356126248, "task_type": "cryptarithm" }
logic-v2
已知字母等式:OXO + OXOOFH - OFXX - XOO = OXHHXO(其中OXO是3位数、OXOOFH是6位数、OFXX是4位数、XOO是3位数、OXHHXO是6位数),每个字母代表一个数字,不同字母代表不同数字。请找出让等式成立的数字替换方案。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。
{ "game_data": { "answer": "464 + 464410 - 4166 - 644 = 460064", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": null, "E": null, "F": 1, "G": null, "H": 0, "I": null, "J": null, "K": null, "L": null, "M": null, "N": null, "O": 4, "P": null, "Q": null, "R": null, "S": null, "T": null, "U": null, "V": null, "W": null, "X": 6, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "OXO", "OXOOFH", "OFXX", "XOO", "OXHHXO" ], "num_letter": 4, "numbers": [ 464, 464410, 4166, 644, 460064 ], "operator_level": 1, "operator_num": 3, "operators": [ "+", "-", "-" ], "seed": 77486336, "trace_id": "2fac02a2-3f24-4083-ba5b-114c0d59c188" }, "question": "已知字母等式:OXO + OXOOFH - OFXX - XOO = OXHHXO(其中OXO是3位数、OXOOFH是6位数、OFXX是4位数、XOO是3位数、OXHHXO是6位数),每个字母代表一个数字,不同字母代表不同数字。请找出让等式成立的数字替换方案。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。" }, "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": null, "E": null, "F": 1, "G": null, "H": 0, "I": null, "J": null, "K": null, "L": null, "M": null, "N": null, "O": 4, "P": null, "Q": null, "R": null, "S": null, "T": null, "U": null, "V": null, "W": null, "X": 6, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "OXO", "OXOOFH", "OFXX", "XOO", "OXHHXO" ], "num_letter": 4, "numbers": [ 464, 464410, 4166, 644, 460064 ], "operator_level": 1, "operator_num": 3, "operators": [ "+", "-", "-" ], "seed": 77486336, "trace_id": "2fac02a2-3f24-4083-ba5b-114c0d59c188" }, "seed": 77486336, "task_id": 377486336, "task_type": "cryptarithm" }
logic-v2
Solve this cryptarithm: ZTZ + NTL + Z = TLLZ, where each letter represents a unique digit. Find the digit substitution that makes the equation true. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits.
{ "game_data": { "answer": "717 + 613 + 7 = 1337", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": null, "E": null, "F": null, "G": null, "H": null, "I": null, "J": null, "K": null, "L": 3, "M": null, "N": 6, "O": null, "P": null, "Q": null, "R": null, "S": null, "T": 1, "U": null, "V": null, "W": null, "X": null, "Y": null, "Z": 7 }, "language": "english", "letter_words": [ "ZTZ", "NTL", "Z", "TLLZ" ], "num_letter": 4, "numbers": [ 717, 613, 7, 1337 ], "operator_level": 3, "operator_num": 2, "operators": [ "+", "+" ], "seed": 69169996, "trace_id": "0e8b3aa4-651e-47ac-8819-1187be8bd1e2" }, "question": "Solve this cryptarithm: ZTZ + NTL + Z = TLLZ, where each letter represents a unique digit. Find the digit substitution that makes the equation true. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits." }, "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": null, "E": null, "F": null, "G": null, "H": null, "I": null, "J": null, "K": null, "L": 3, "M": null, "N": 6, "O": null, "P": null, "Q": null, "R": null, "S": null, "T": 1, "U": null, "V": null, "W": null, "X": null, "Y": null, "Z": 7 }, "language": "english", "letter_words": [ "ZTZ", "NTL", "Z", "TLLZ" ], "num_letter": 4, "numbers": [ 717, 613, 7, 1337 ], "operator_level": 3, "operator_num": 2, "operators": [ "+", "+" ], "seed": 69169996, "trace_id": "0e8b3aa4-651e-47ac-8819-1187be8bd1e2" }, "seed": 69169996, "task_id": 369169996, "task_type": "cryptarithm" }
logic-v2
解决密码算术谜题:ZJU + JZUY + UJZY = ZZYZU(其中ZJU是3位数、JZUY是4位数、UJZY是4位数、ZZYZU是5位数),其中每个字母表示0-9之间的一个数字,不同字母代表不同数字。请计算出使等式成立的数字等式。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。
{ "game_data": { "answer": "173 + 7130 + 3710 = 11013", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": null, "E": null, "F": null, "G": null, "H": null, "I": null, "J": 7, "K": null, "L": null, "M": null, "N": null, "O": null, "P": null, "Q": null, "R": null, "S": null, "T": null, "U": 3, "V": null, "W": null, "X": null, "Y": 0, "Z": 1 }, "language": "chinese", "letter_words": [ "ZJU", "JZUY", "UJZY", "ZZYZU" ], "num_letter": 4, "numbers": [ 173, 7130, 3710, 11013 ], "operator_level": 3, "operator_num": 2, "operators": [ "+", "+" ], "seed": 20101664, "trace_id": "8ee4a38c-faad-4a13-8ee8-8a1108e7ce36" }, "question": "解决密码算术谜题:ZJU + JZUY + UJZY = ZZYZU(其中ZJU是3位数、JZUY是4位数、UJZY是4位数、ZZYZU是5位数),其中每个字母表示0-9之间的一个数字,不同字母代表不同数字。请计算出使等式成立的数字等式。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。" }, "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": null, "E": null, "F": null, "G": null, "H": null, "I": null, "J": 7, "K": null, "L": null, "M": null, "N": null, "O": null, "P": null, "Q": null, "R": null, "S": null, "T": null, "U": 3, "V": null, "W": null, "X": null, "Y": 0, "Z": 1 }, "language": "chinese", "letter_words": [ "ZJU", "JZUY", "UJZY", "ZZYZU" ], "num_letter": 4, "numbers": [ 173, 7130, 3710, 11013 ], "operator_level": 3, "operator_num": 2, "operators": [ "+", "+" ], "seed": 20101664, "trace_id": "8ee4a38c-faad-4a13-8ee8-8a1108e7ce36" }, "seed": 20101664, "task_id": 320101664, "task_type": "cryptarithm" }
logic-v2
解决密码算术谜题:ZIZZZK - KTITKZ - ZITZ = KTZKII(其中ZIZZZK是6位数、KTITKZ是6位数、ZITZ是4位数、KTZKII是6位数),其中每个字母表示0-9之间的一个数字,不同字母代表不同数字。请计算出使等式成立的数字等式。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。
{ "game_data": { "answer": "272221 - 137312 - 2732 = 132177", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": null, "E": null, "F": null, "G": null, "H": null, "I": 7, "J": null, "K": 1, "L": null, "M": null, "N": null, "O": null, "P": null, "Q": null, "R": null, "S": null, "T": 3, "U": null, "V": null, "W": null, "X": null, "Y": null, "Z": 2 }, "language": "chinese", "letter_words": [ "ZIZZZK", "KTITKZ", "ZITZ", "KTZKII" ], "num_letter": 4, "numbers": [ 272221, 137312, 2732, 132177 ], "operator_level": 1, "operator_num": 2, "operators": [ "-", "-" ], "seed": 73486576, "trace_id": "c080d3b0-2ea6-4883-9f0f-43f9b3a2dbbd" }, "question": "解决密码算术谜题:ZIZZZK - KTITKZ - ZITZ = KTZKII(其中ZIZZZK是6位数、KTITKZ是6位数、ZITZ是4位数、KTZKII是6位数),其中每个字母表示0-9之间的一个数字,不同字母代表不同数字。请计算出使等式成立的数字等式。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。" }, "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": null, "E": null, "F": null, "G": null, "H": null, "I": 7, "J": null, "K": 1, "L": null, "M": null, "N": null, "O": null, "P": null, "Q": null, "R": null, "S": null, "T": 3, "U": null, "V": null, "W": null, "X": null, "Y": null, "Z": 2 }, "language": "chinese", "letter_words": [ "ZIZZZK", "KTITKZ", "ZITZ", "KTZKII" ], "num_letter": 4, "numbers": [ 272221, 137312, 2732, 132177 ], "operator_level": 1, "operator_num": 2, "operators": [ "-", "-" ], "seed": 73486576, "trace_id": "c080d3b0-2ea6-4883-9f0f-43f9b3a2dbbd" }, "seed": 73486576, "task_id": 373486576, "task_type": "cryptarithm" }
logic-v2
已知字母等式:SSHRHS - HSSAHH + HAR + SS = ASAHA(其中SSHRHS是6位数、HSSAHH是6位数、HAR是3位数、SS是2位数、ASAHA是5位数),每个字母代表一个数字,不同字母代表不同数字。请找出让等式成立的数字替换方案。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。
{ "game_data": { "answer": "887078 - 788977 + 790 + 88 = 98979", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": 9, "B": null, "C": null, "D": null, "E": null, "F": null, "G": null, "H": 7, "I": null, "J": null, "K": null, "L": null, "M": null, "N": null, "O": null, "P": null, "Q": null, "R": 0, "S": 8, "T": null, "U": null, "V": null, "W": null, "X": null, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "SSHRHS", "HSSAHH", "HAR", "SS", "ASAHA" ], "num_letter": 4, "numbers": [ 887078, 788977, 790, 88, 98979 ], "operator_level": 1, "operator_num": 3, "operators": [ "-", "+", "+" ], "seed": 94748018, "trace_id": "11d76414-6854-450b-8e34-fe5b3fcce3aa" }, "question": "已知字母等式:SSHRHS - HSSAHH + HAR + SS = ASAHA(其中SSHRHS是6位数、HSSAHH是6位数、HAR是3位数、SS是2位数、ASAHA是5位数),每个字母代表一个数字,不同字母代表不同数字。请找出让等式成立的数字替换方案。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。" }, "metadata": { "digit_map": { "A": 9, "B": null, "C": null, "D": null, "E": null, "F": null, "G": null, "H": 7, "I": null, "J": null, "K": null, "L": null, "M": null, "N": null, "O": null, "P": null, "Q": null, "R": 0, "S": 8, "T": null, "U": null, "V": null, "W": null, "X": null, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "SSHRHS", "HSSAHH", "HAR", "SS", "ASAHA" ], "num_letter": 4, "numbers": [ 887078, 788977, 790, 88, 98979 ], "operator_level": 1, "operator_num": 3, "operators": [ "-", "+", "+" ], "seed": 94748018, "trace_id": "11d76414-6854-450b-8e34-fe5b3fcce3aa" }, "seed": 94748018, "task_id": 394748018, "task_type": "cryptarithm" }
logic-v2
解决密码算术谜题:NNU + UGN + UNNGU = UPPPN(其中NNU是3位数、UGN是3位数、UNNGU是5位数、UPPPN是5位数),其中每个字母表示0-9之间的一个数字,不同字母代表不同数字。请计算出使等式成立的数字等式。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。
{ "game_data": { "answer": "665 + 506 + 56605 = 57776", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": null, "E": null, "F": null, "G": 0, "H": null, "I": null, "J": null, "K": null, "L": null, "M": null, "N": 6, "O": null, "P": 7, "Q": null, "R": null, "S": null, "T": null, "U": 5, "V": null, "W": null, "X": null, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "NNU", "UGN", "UNNGU", "UPPPN" ], "num_letter": 4, "numbers": [ 665, 506, 56605, 57776 ], "operator_level": 2, "operator_num": 2, "operators": [ "+", "+" ], "seed": 54462721, "trace_id": "49c512e6-88b1-44f3-a976-db62ec5f9a6c" }, "question": "解决密码算术谜题:NNU + UGN + UNNGU = UPPPN(其中NNU是3位数、UGN是3位数、UNNGU是5位数、UPPPN是5位数),其中每个字母表示0-9之间的一个数字,不同字母代表不同数字。请计算出使等式成立的数字等式。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。" }, "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": null, "E": null, "F": null, "G": 0, "H": null, "I": null, "J": null, "K": null, "L": null, "M": null, "N": 6, "O": null, "P": 7, "Q": null, "R": null, "S": null, "T": null, "U": 5, "V": null, "W": null, "X": null, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "NNU", "UGN", "UNNGU", "UPPPN" ], "num_letter": 4, "numbers": [ 665, 506, 56605, 57776 ], "operator_level": 2, "operator_num": 2, "operators": [ "+", "+" ], "seed": 54462721, "trace_id": "49c512e6-88b1-44f3-a976-db62ec5f9a6c" }, "seed": 54462721, "task_id": 354462721, "task_type": "cryptarithm" }
logic-v2
已知字母等式:BBGNAN - GB - BBAB - AA = BGNBBN(其中BBGNAN是6位数、GB是2位数、BBAB是4位数、AA是2位数、BGNBBN是6位数),每个字母代表一个数字,不同字母代表不同数字。请找出让等式成立的数字替换方案。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。
{ "game_data": { "answer": "443929 - 34 - 4424 - 22 = 439449", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": 2, "B": 4, "C": null, "D": null, "E": null, "F": null, "G": 3, "H": null, "I": null, "J": null, "K": null, "L": null, "M": null, "N": 9, "O": null, "P": null, "Q": null, "R": null, "S": null, "T": null, "U": null, "V": null, "W": null, "X": null, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "BBGNAN", "GB", "BBAB", "AA", "BGNBBN" ], "num_letter": 4, "numbers": [ 443929, 34, 4424, 22, 439449 ], "operator_level": 1, "operator_num": 3, "operators": [ "-", "-", "-" ], "seed": 50474243, "trace_id": "9caa9a10-5c6e-4ace-a8dc-c3e388ff8088" }, "question": "已知字母等式:BBGNAN - GB - BBAB - AA = BGNBBN(其中BBGNAN是6位数、GB是2位数、BBAB是4位数、AA是2位数、BGNBBN是6位数),每个字母代表一个数字,不同字母代表不同数字。请找出让等式成立的数字替换方案。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。" }, "metadata": { "digit_map": { "A": 2, "B": 4, "C": null, "D": null, "E": null, "F": null, "G": 3, "H": null, "I": null, "J": null, "K": null, "L": null, "M": null, "N": 9, "O": null, "P": null, "Q": null, "R": null, "S": null, "T": null, "U": null, "V": null, "W": null, "X": null, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "BBGNAN", "GB", "BBAB", "AA", "BGNBBN" ], "num_letter": 4, "numbers": [ 443929, 34, 4424, 22, 439449 ], "operator_level": 1, "operator_num": 3, "operators": [ "-", "-", "-" ], "seed": 50474243, "trace_id": "9caa9a10-5c6e-4ace-a8dc-c3e388ff8088" }, "seed": 50474243, "task_id": 350474243, "task_type": "cryptarithm" }
logic-v2
In this alphametic puzzle: YYCFF + CCYYYY + Y = ACYCFA, each letter represents a distinct digit from 0-9. Determine the digits that make the equation valid. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits.
{ "game_data": { "answer": "99700 + 779999 + 9 = 879708", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": 8, "B": null, "C": 7, "D": null, "E": null, "F": 0, "G": null, "H": null, "I": null, "J": null, "K": null, "L": null, "M": null, "N": null, "O": null, "P": null, "Q": null, "R": null, "S": null, "T": null, "U": null, "V": null, "W": null, "X": null, "Y": 9, "Z": null }, "language": "english", "letter_words": [ "YYCFF", "CCYYYY", "Y", "ACYCFA" ], "num_letter": 4, "numbers": [ 99700, 779999, 9, 879708 ], "operator_level": 2, "operator_num": 2, "operators": [ "+", "+" ], "seed": 786262, "trace_id": "f41f61a7-232f-4fa9-a921-209ab6e54ccf" }, "question": "In this alphametic puzzle: YYCFF + CCYYYY + Y = ACYCFA, each letter represents a distinct digit from 0-9. Determine the digits that make the equation valid. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits." }, "metadata": { "digit_map": { "A": 8, "B": null, "C": 7, "D": null, "E": null, "F": 0, "G": null, "H": null, "I": null, "J": null, "K": null, "L": null, "M": null, "N": null, "O": null, "P": null, "Q": null, "R": null, "S": null, "T": null, "U": null, "V": null, "W": null, "X": null, "Y": 9, "Z": null }, "language": "english", "letter_words": [ "YYCFF", "CCYYYY", "Y", "ACYCFA" ], "num_letter": 4, "numbers": [ 99700, 779999, 9, 879708 ], "operator_level": 2, "operator_num": 2, "operators": [ "+", "+" ], "seed": 786262, "trace_id": "f41f61a7-232f-4fa9-a921-209ab6e54ccf" }, "seed": 786262, "task_id": 300786262, "task_type": "cryptarithm" }
logic-v2
有一个等式:JHFQJJ * FQFF = QJFJQQQHF,其中每个字母代表一个不同的数字(JHFQJJ 是 6 位数、FQFF 是 4 位数、QJFJQQQHF 是 9 位数)。请找出每个字母代表的数字,使等式成立。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。
{ "game_data": { "answer": "184911 * 4944 = 914199984", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": null, "E": null, "F": 4, "G": null, "H": 8, "I": null, "J": 1, "K": null, "L": null, "M": null, "N": null, "O": null, "P": null, "Q": 9, "R": null, "S": null, "T": null, "U": null, "V": null, "W": null, "X": null, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "JHFQJJ", "FQFF", "QJFJQQQHF" ], "num_letter": 4, "numbers": [ 184911, 4944, 914199984 ], "operator_level": 3, "operator_num": 1, "operators": [ "*" ], "seed": 11812733, "trace_id": "05548139-6715-46f9-a20c-3e10f09b7593" }, "question": "有一个等式:JHFQJJ * FQFF = QJFJQQQHF,其中每个字母代表一个不同的数字(JHFQJJ 是 6 位数、FQFF 是 4 位数、QJFJQQQHF 是 9 位数)。请找出每个字母代表的数字,使等式成立。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。" }, "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": null, "E": null, "F": 4, "G": null, "H": 8, "I": null, "J": 1, "K": null, "L": null, "M": null, "N": null, "O": null, "P": null, "Q": 9, "R": null, "S": null, "T": null, "U": null, "V": null, "W": null, "X": null, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "JHFQJJ", "FQFF", "QJFJQQQHF" ], "num_letter": 4, "numbers": [ 184911, 4944, 914199984 ], "operator_level": 3, "operator_num": 1, "operators": [ "*" ], "seed": 11812733, "trace_id": "05548139-6715-46f9-a20c-3e10f09b7593" }, "seed": 11812733, "task_id": 311812733, "task_type": "cryptarithm" }
logic-v2
In the cryptarithm: INSN * UUUS = MNNUMIS, each letter stands for a different digit (INSN is 4 digits, UUUS is 4 digits, and MNNUMIS is 7 digits). Determine what each letter represents to make the equation true. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits.
{ "game_data": { "answer": "3191 * 2229 = 7112739", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": null, "E": null, "F": null, "G": null, "H": null, "I": 3, "J": null, "K": null, "L": null, "M": 7, "N": 1, "O": null, "P": null, "Q": null, "R": null, "S": 9, "T": null, "U": 2, "V": null, "W": null, "X": null, "Y": null, "Z": null }, "language": "english", "letter_words": [ "INSN", "UUUS", "MNNUMIS" ], "num_letter": 5, "numbers": [ 3191, 2229, 7112739 ], "operator_level": 3, "operator_num": 1, "operators": [ "*" ], "seed": 345210, "trace_id": "4e3348b4-08e9-4601-900e-7cefca90a4e0" }, "question": "In the cryptarithm: INSN * UUUS = MNNUMIS, each letter stands for a different digit (INSN is 4 digits, UUUS is 4 digits, and MNNUMIS is 7 digits). Determine what each letter represents to make the equation true. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits." }, "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": null, "E": null, "F": null, "G": null, "H": null, "I": 3, "J": null, "K": null, "L": null, "M": 7, "N": 1, "O": null, "P": null, "Q": null, "R": null, "S": 9, "T": null, "U": 2, "V": null, "W": null, "X": null, "Y": null, "Z": null }, "language": "english", "letter_words": [ "INSN", "UUUS", "MNNUMIS" ], "num_letter": 5, "numbers": [ 3191, 2229, 7112739 ], "operator_level": 3, "operator_num": 1, "operators": [ "*" ], "seed": 345210, "trace_id": "4e3348b4-08e9-4601-900e-7cefca90a4e0" }, "seed": 345210, "task_id": 300345210, "task_type": "cryptarithm" }
logic-v2
已知字母等式:PPPPS + XSS + XUUXPS = XPXPUS(其中PPPPS是5位数、XSS是3位数、XUUXPS是6位数、XPXPUS是6位数),每个字母代表一个数字,不同字母代表不同数字。请找出让等式成立的数字替换方案。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。
{ "game_data": { "answer": "77775 + 955 + 900975 = 979705", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": null, "E": null, "F": null, "G": null, "H": null, "I": null, "J": null, "K": null, "L": null, "M": null, "N": null, "O": null, "P": 7, "Q": null, "R": null, "S": 5, "T": null, "U": 0, "V": null, "W": null, "X": 9, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "PPPPS", "XSS", "XUUXPS", "XPXPUS" ], "num_letter": 4, "numbers": [ 77775, 955, 900975, 979705 ], "operator_level": 1, "operator_num": 2, "operators": [ "+", "+" ], "seed": 93070231, "trace_id": "e131971f-5773-4314-840c-393c3d139f2e" }, "question": "已知字母等式:PPPPS + XSS + XUUXPS = XPXPUS(其中PPPPS是5位数、XSS是3位数、XUUXPS是6位数、XPXPUS是6位数),每个字母代表一个数字,不同字母代表不同数字。请找出让等式成立的数字替换方案。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。" }, "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": null, "E": null, "F": null, "G": null, "H": null, "I": null, "J": null, "K": null, "L": null, "M": null, "N": null, "O": null, "P": 7, "Q": null, "R": null, "S": 5, "T": null, "U": 0, "V": null, "W": null, "X": 9, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "PPPPS", "XSS", "XUUXPS", "XPXPUS" ], "num_letter": 4, "numbers": [ 77775, 955, 900975, 979705 ], "operator_level": 1, "operator_num": 2, "operators": [ "+", "+" ], "seed": 93070231, "trace_id": "e131971f-5773-4314-840c-393c3d139f2e" }, "seed": 93070231, "task_id": 393070231, "task_type": "cryptarithm" }
logic-v2
解决密码算术谜题:MMX + MMMK + JMKJM + JXXM = JXXMK(其中MMX是3位数、MMMK是4位数、JMKJM是5位数、JXXM是4位数、JXXMK是5位数),其中每个字母表示0-9之间的一个数字,不同字母代表不同数字。请计算出使等式成立的数字等式。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。
{ "game_data": { "answer": "226 + 2225 + 12512 + 1662 = 16625", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": null, "E": null, "F": null, "G": null, "H": null, "I": null, "J": 1, "K": 5, "L": null, "M": 2, "N": null, "O": null, "P": null, "Q": null, "R": null, "S": null, "T": null, "U": null, "V": null, "W": null, "X": 6, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "MMX", "MMMK", "JMKJM", "JXXM", "JXXMK" ], "num_letter": 4, "numbers": [ 226, 2225, 12512, 1662, 16625 ], "operator_level": 2, "operator_num": 3, "operators": [ "+", "+", "+" ], "seed": 19526537, "trace_id": "9524fe9b-53e3-4c5e-9849-231aef4b2450" }, "question": "解决密码算术谜题:MMX + MMMK + JMKJM + JXXM = JXXMK(其中MMX是3位数、MMMK是4位数、JMKJM是5位数、JXXM是4位数、JXXMK是5位数),其中每个字母表示0-9之间的一个数字,不同字母代表不同数字。请计算出使等式成立的数字等式。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。" }, "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": null, "E": null, "F": null, "G": null, "H": null, "I": null, "J": 1, "K": 5, "L": null, "M": 2, "N": null, "O": null, "P": null, "Q": null, "R": null, "S": null, "T": null, "U": null, "V": null, "W": null, "X": 6, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "MMX", "MMMK", "JMKJM", "JXXM", "JXXMK" ], "num_letter": 4, "numbers": [ 226, 2225, 12512, 1662, 16625 ], "operator_level": 2, "operator_num": 3, "operators": [ "+", "+", "+" ], "seed": 19526537, "trace_id": "9524fe9b-53e3-4c5e-9849-231aef4b2450" }, "seed": 19526537, "task_id": 319526537, "task_type": "cryptarithm" }
logic-v2
In the cryptarithm: DIE + DEIDE = DJDJD, each letter stands for a different digit (DIE is 3 digits, DEIDE is 5 digits, and DJDJD is 5 digits). Determine what each letter represents to make the equation true. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits.
{ "game_data": { "answer": "492 + 42942 = 43434", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": 4, "E": 2, "F": null, "G": null, "H": null, "I": 9, "J": 3, "K": null, "L": null, "M": null, "N": null, "O": null, "P": null, "Q": null, "R": null, "S": null, "T": null, "U": null, "V": null, "W": null, "X": null, "Y": null, "Z": null }, "language": "english", "letter_words": [ "DIE", "DEIDE", "DJDJD" ], "num_letter": 4, "numbers": [ 492, 42942, 43434 ], "operator_level": 2, "operator_num": 1, "operators": [ "+" ], "seed": 61568690, "trace_id": "914383a9-578f-49c3-8bb1-b44057dadd6a" }, "question": "In the cryptarithm: DIE + DEIDE = DJDJD, each letter stands for a different digit (DIE is 3 digits, DEIDE is 5 digits, and DJDJD is 5 digits). Determine what each letter represents to make the equation true. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits." }, "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": 4, "E": 2, "F": null, "G": null, "H": null, "I": 9, "J": 3, "K": null, "L": null, "M": null, "N": null, "O": null, "P": null, "Q": null, "R": null, "S": null, "T": null, "U": null, "V": null, "W": null, "X": null, "Y": null, "Z": null }, "language": "english", "letter_words": [ "DIE", "DEIDE", "DJDJD" ], "num_letter": 4, "numbers": [ 492, 42942, 43434 ], "operator_level": 2, "operator_num": 1, "operators": [ "+" ], "seed": 61568690, "trace_id": "914383a9-578f-49c3-8bb1-b44057dadd6a" }, "seed": 61568690, "task_id": 361568690, "task_type": "cryptarithm" }
logic-v2
已知:CFFWCW - CWFWG = CCGFWW,每个字母代表一个数字(CFFWCW 是 6 位数、CWFWG 是 5 位数、CCGFWW 是 6 位数),字母与字母之间代表的数字不重复。若要让等式成立,求得题中的数字等式。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。
{ "game_data": { "answer": "488747 - 47870 = 440877", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": null, "C": 4, "D": null, "E": null, "F": 8, "G": 0, "H": null, "I": null, "J": null, "K": null, "L": null, "M": null, "N": null, "O": null, "P": null, "Q": null, "R": null, "S": null, "T": null, "U": null, "V": null, "W": 7, "X": null, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "CFFWCW", "CWFWG", "CCGFWW" ], "num_letter": 4, "numbers": [ 488747, 47870, 440877 ], "operator_level": 2, "operator_num": 1, "operators": [ "-" ], "seed": 64817573, "trace_id": "d67e00b5-7c4b-4b16-adb0-75dc2796091c" }, "question": "已知:CFFWCW - CWFWG = CCGFWW,每个字母代表一个数字(CFFWCW 是 6 位数、CWFWG 是 5 位数、CCGFWW 是 6 位数),字母与字母之间代表的数字不重复。若要让等式成立,求得题中的数字等式。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。" }, "metadata": { "digit_map": { "A": null, "B": null, "C": 4, "D": null, "E": null, "F": 8, "G": 0, "H": null, "I": null, "J": null, "K": null, "L": null, "M": null, "N": null, "O": null, "P": null, "Q": null, "R": null, "S": null, "T": null, "U": null, "V": null, "W": 7, "X": null, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "CFFWCW", "CWFWG", "CCGFWW" ], "num_letter": 4, "numbers": [ 488747, 47870, 440877 ], "operator_level": 2, "operator_num": 1, "operators": [ "-" ], "seed": 64817573, "trace_id": "d67e00b5-7c4b-4b16-adb0-75dc2796091c" }, "seed": 64817573, "task_id": 364817573, "task_type": "cryptarithm" }
logic-v2
有一个等式:RFRZR + ARFR = AZZAZ,其中每个字母代表一个不同的数字(RFRZR 是 5 位数、ARFR 是 4 位数、AZZAZ 是 5 位数)。请找出每个字母代表的数字,使等式成立。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。
{ "game_data": { "answer": "64626 + 7646 = 72272", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": 7, "B": null, "C": null, "D": null, "E": null, "F": 4, "G": null, "H": null, "I": null, "J": null, "K": null, "L": null, "M": null, "N": null, "O": null, "P": null, "Q": null, "R": 6, "S": null, "T": null, "U": null, "V": null, "W": null, "X": null, "Y": null, "Z": 2 }, "language": "chinese", "letter_words": [ "RFRZR", "ARFR", "AZZAZ" ], "num_letter": 4, "numbers": [ 64626, 7646, 72272 ], "operator_level": 2, "operator_num": 1, "operators": [ "+" ], "seed": 44568498, "trace_id": "a4d87adb-40dc-4295-9f9c-3e715b1b6293" }, "question": "有一个等式:RFRZR + ARFR = AZZAZ,其中每个字母代表一个不同的数字(RFRZR 是 5 位数、ARFR 是 4 位数、AZZAZ 是 5 位数)。请找出每个字母代表的数字,使等式成立。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。" }, "metadata": { "digit_map": { "A": 7, "B": null, "C": null, "D": null, "E": null, "F": 4, "G": null, "H": null, "I": null, "J": null, "K": null, "L": null, "M": null, "N": null, "O": null, "P": null, "Q": null, "R": 6, "S": null, "T": null, "U": null, "V": null, "W": null, "X": null, "Y": null, "Z": 2 }, "language": "chinese", "letter_words": [ "RFRZR", "ARFR", "AZZAZ" ], "num_letter": 4, "numbers": [ 64626, 7646, 72272 ], "operator_level": 2, "operator_num": 1, "operators": [ "+" ], "seed": 44568498, "trace_id": "a4d87adb-40dc-4295-9f9c-3e715b1b6293" }, "seed": 44568498, "task_id": 344568498, "task_type": "cryptarithm" }
logic-v2
Solve the following alphametic puzzle: DZZFFD + PFHD = DDFHDZ, where each letter represents a unique digit. Note that DZZFFD is a 6-digit number, PFHD is a 4-digit number, and DDFHDZ is a 6-digit number. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits.
{ "game_data": { "answer": "988669 + 7629 = 996298", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": 9, "E": null, "F": 6, "G": null, "H": 2, "I": null, "J": null, "K": null, "L": null, "M": null, "N": null, "O": null, "P": 7, "Q": null, "R": null, "S": null, "T": null, "U": null, "V": null, "W": null, "X": null, "Y": null, "Z": 8 }, "language": "english", "letter_words": [ "DZZFFD", "PFHD", "DDFHDZ" ], "num_letter": 5, "numbers": [ 988669, 7629, 996298 ], "operator_level": 2, "operator_num": 1, "operators": [ "+" ], "seed": 73443407, "trace_id": "d12fc880-8533-4c56-98e7-b678e7b208f7" }, "question": "Solve the following alphametic puzzle: DZZFFD + PFHD = DDFHDZ, where each letter represents a unique digit. Note that DZZFFD is a 6-digit number, PFHD is a 4-digit number, and DDFHDZ is a 6-digit number. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits." }, "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": 9, "E": null, "F": 6, "G": null, "H": 2, "I": null, "J": null, "K": null, "L": null, "M": null, "N": null, "O": null, "P": 7, "Q": null, "R": null, "S": null, "T": null, "U": null, "V": null, "W": null, "X": null, "Y": null, "Z": 8 }, "language": "english", "letter_words": [ "DZZFFD", "PFHD", "DDFHDZ" ], "num_letter": 5, "numbers": [ 988669, 7629, 996298 ], "operator_level": 2, "operator_num": 1, "operators": [ "+" ], "seed": 73443407, "trace_id": "d12fc880-8533-4c56-98e7-b678e7b208f7" }, "seed": 73443407, "task_id": 373443407, "task_type": "cryptarithm" }
logic-v2
解决密码算术谜题:SBB * S * S - SSS = BUTU(其中SBB是3位数、S是1位数、S是1位数、SSS是3位数、BUTU是4位数),其中每个字母表示0-9之间的一个数字,不同字母代表不同数字。请计算出使等式成立的数字等式。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。
{ "game_data": { "answer": "322 * 3 * 3 - 333 = 2565", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": 2, "C": null, "D": null, "E": null, "F": null, "G": null, "H": null, "I": null, "J": null, "K": null, "L": null, "M": null, "N": null, "O": null, "P": null, "Q": null, "R": null, "S": 3, "T": 6, "U": 5, "V": null, "W": null, "X": null, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "SBB", "S", "S", "SSS", "BUTU" ], "num_letter": 4, "numbers": [ 322, 3, 3, 333, 2565 ], "operator_level": 3, "operator_num": 3, "operators": [ "*", "*", "-" ], "seed": 54099266, "trace_id": "27172c46-8628-4f94-9347-efde6021bb73" }, "question": "解决密码算术谜题:SBB * S * S - SSS = BUTU(其中SBB是3位数、S是1位数、S是1位数、SSS是3位数、BUTU是4位数),其中每个字母表示0-9之间的一个数字,不同字母代表不同数字。请计算出使等式成立的数字等式。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。" }, "metadata": { "digit_map": { "A": null, "B": 2, "C": null, "D": null, "E": null, "F": null, "G": null, "H": null, "I": null, "J": null, "K": null, "L": null, "M": null, "N": null, "O": null, "P": null, "Q": null, "R": null, "S": 3, "T": 6, "U": 5, "V": null, "W": null, "X": null, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "SBB", "S", "S", "SSS", "BUTU" ], "num_letter": 4, "numbers": [ 322, 3, 3, 333, 2565 ], "operator_level": 3, "operator_num": 3, "operators": [ "*", "*", "-" ], "seed": 54099266, "trace_id": "27172c46-8628-4f94-9347-efde6021bb73" }, "seed": 54099266, "task_id": 354099266, "task_type": "cryptarithm" }
logic-v2
Solve this cryptarithm: WWQB + YYYW + WBF = QQWFY, where each letter represents a unique digit. Find the digit substitution that makes the equation true. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits.
{ "game_data": { "answer": "8810 + 2228 + 804 = 11842", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": 0, "C": null, "D": null, "E": null, "F": 4, "G": null, "H": null, "I": null, "J": null, "K": null, "L": null, "M": null, "N": null, "O": null, "P": null, "Q": 1, "R": null, "S": null, "T": null, "U": null, "V": null, "W": 8, "X": null, "Y": 2, "Z": null }, "language": "english", "letter_words": [ "WWQB", "YYYW", "WBF", "QQWFY" ], "num_letter": 5, "numbers": [ 8810, 2228, 804, 11842 ], "operator_level": 1, "operator_num": 2, "operators": [ "+", "+" ], "seed": 40089091, "trace_id": "efb2a11c-e003-4d99-b04b-746f4f90160c" }, "question": "Solve this cryptarithm: WWQB + YYYW + WBF = QQWFY, where each letter represents a unique digit. Find the digit substitution that makes the equation true. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits." }, "metadata": { "digit_map": { "A": null, "B": 0, "C": null, "D": null, "E": null, "F": 4, "G": null, "H": null, "I": null, "J": null, "K": null, "L": null, "M": null, "N": null, "O": null, "P": null, "Q": 1, "R": null, "S": null, "T": null, "U": null, "V": null, "W": 8, "X": null, "Y": 2, "Z": null }, "language": "english", "letter_words": [ "WWQB", "YYYW", "WBF", "QQWFY" ], "num_letter": 5, "numbers": [ 8810, 2228, 804, 11842 ], "operator_level": 1, "operator_num": 2, "operators": [ "+", "+" ], "seed": 40089091, "trace_id": "efb2a11c-e003-4d99-b04b-746f4f90160c" }, "seed": 40089091, "task_id": 340089091, "task_type": "cryptarithm" }
logic-v2
解决密码算术谜题:HUUSHZ - HYHZSH - YUSY - YSY = UUZZ(其中HUUSHZ是6位数、HYHZSH是6位数、YUSY是4位数、YSY是3位数、UUZZ是4位数),其中每个字母表示0-9之间的一个数字,不同字母代表不同数字。请计算出使等式成立的数字等式。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。
{ "game_data": { "answer": "822689 - 818968 - 1261 - 161 = 2299", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": null, "E": null, "F": null, "G": null, "H": 8, "I": null, "J": null, "K": null, "L": null, "M": null, "N": null, "O": null, "P": null, "Q": null, "R": null, "S": 6, "T": null, "U": 2, "V": null, "W": null, "X": null, "Y": 1, "Z": 9 }, "language": "chinese", "letter_words": [ "HUUSHZ", "HYHZSH", "YUSY", "YSY", "UUZZ" ], "num_letter": 5, "numbers": [ 822689, 818968, 1261, 161, 2299 ], "operator_level": 3, "operator_num": 3, "operators": [ "-", "-", "-" ], "seed": 61873149, "trace_id": "c7d5c68b-482a-4dbf-8e86-49d9e1c8aab4" }, "question": "解决密码算术谜题:HUUSHZ - HYHZSH - YUSY - YSY = UUZZ(其中HUUSHZ是6位数、HYHZSH是6位数、YUSY是4位数、YSY是3位数、UUZZ是4位数),其中每个字母表示0-9之间的一个数字,不同字母代表不同数字。请计算出使等式成立的数字等式。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。" }, "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": null, "E": null, "F": null, "G": null, "H": 8, "I": null, "J": null, "K": null, "L": null, "M": null, "N": null, "O": null, "P": null, "Q": null, "R": null, "S": 6, "T": null, "U": 2, "V": null, "W": null, "X": null, "Y": 1, "Z": 9 }, "language": "chinese", "letter_words": [ "HUUSHZ", "HYHZSH", "YUSY", "YSY", "UUZZ" ], "num_letter": 5, "numbers": [ 822689, 818968, 1261, 161, 2299 ], "operator_level": 3, "operator_num": 3, "operators": [ "-", "-", "-" ], "seed": 61873149, "trace_id": "c7d5c68b-482a-4dbf-8e86-49d9e1c8aab4" }, "seed": 61873149, "task_id": 361873149, "task_type": "cryptarithm" }
logic-v2
In this alphametic puzzle: XXQ + CXSQQQ + XCXQS = YCQSXS, each letter represents a distinct digit from 0-9. Determine the digits that make the equation valid. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits.
{ "game_data": { "answer": "770 + 574000 + 75704 = 650474", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": null, "C": 5, "D": null, "E": null, "F": null, "G": null, "H": null, "I": null, "J": null, "K": null, "L": null, "M": null, "N": null, "O": null, "P": null, "Q": 0, "R": null, "S": 4, "T": null, "U": null, "V": null, "W": null, "X": 7, "Y": 6, "Z": null }, "language": "english", "letter_words": [ "XXQ", "CXSQQQ", "XCXQS", "YCQSXS" ], "num_letter": 5, "numbers": [ 770, 574000, 75704, 650474 ], "operator_level": 1, "operator_num": 2, "operators": [ "+", "+" ], "seed": 30663728, "trace_id": "3ba49ca0-8739-4841-acb2-2f152bd8d8cb" }, "question": "In this alphametic puzzle: XXQ + CXSQQQ + XCXQS = YCQSXS, each letter represents a distinct digit from 0-9. Determine the digits that make the equation valid. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits." }, "metadata": { "digit_map": { "A": null, "B": null, "C": 5, "D": null, "E": null, "F": null, "G": null, "H": null, "I": null, "J": null, "K": null, "L": null, "M": null, "N": null, "O": null, "P": null, "Q": 0, "R": null, "S": 4, "T": null, "U": null, "V": null, "W": null, "X": 7, "Y": 6, "Z": null }, "language": "english", "letter_words": [ "XXQ", "CXSQQQ", "XCXQS", "YCQSXS" ], "num_letter": 5, "numbers": [ 770, 574000, 75704, 650474 ], "operator_level": 1, "operator_num": 2, "operators": [ "+", "+" ], "seed": 30663728, "trace_id": "3ba49ca0-8739-4841-acb2-2f152bd8d8cb" }, "seed": 30663728, "task_id": 330663728, "task_type": "cryptarithm" }
logic-v2
In the cryptarithm: FFFFCF - BUUFU = FCFFBU, each letter stands for a different digit (FFFFCF is 6 digits, BUUFU is 5 digits, and FCFFBU is 6 digits). Determine what each letter represents to make the equation true. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits.
{ "game_data": { "answer": "888838 - 49989 = 838849", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": 4, "C": 3, "D": null, "E": null, "F": 8, "G": null, "H": null, "I": null, "J": null, "K": null, "L": null, "M": null, "N": null, "O": null, "P": null, "Q": null, "R": null, "S": null, "T": null, "U": 9, "V": null, "W": null, "X": null, "Y": null, "Z": null }, "language": "english", "letter_words": [ "FFFFCF", "BUUFU", "FCFFBU" ], "num_letter": 4, "numbers": [ 888838, 49989, 838849 ], "operator_level": 1, "operator_num": 1, "operators": [ "-" ], "seed": 33390649, "trace_id": "c35e4515-dd0d-4054-bd9e-8bc7679c39c5" }, "question": "In the cryptarithm: FFFFCF - BUUFU = FCFFBU, each letter stands for a different digit (FFFFCF is 6 digits, BUUFU is 5 digits, and FCFFBU is 6 digits). Determine what each letter represents to make the equation true. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits." }, "metadata": { "digit_map": { "A": null, "B": 4, "C": 3, "D": null, "E": null, "F": 8, "G": null, "H": null, "I": null, "J": null, "K": null, "L": null, "M": null, "N": null, "O": null, "P": null, "Q": null, "R": null, "S": null, "T": null, "U": 9, "V": null, "W": null, "X": null, "Y": null, "Z": null }, "language": "english", "letter_words": [ "FFFFCF", "BUUFU", "FCFFBU" ], "num_letter": 4, "numbers": [ 888838, 49989, 838849 ], "operator_level": 1, "operator_num": 1, "operators": [ "-" ], "seed": 33390649, "trace_id": "c35e4515-dd0d-4054-bd9e-8bc7679c39c5" }, "seed": 33390649, "task_id": 333390649, "task_type": "cryptarithm" }
logic-v2
给定一个字母等式:LL * TPPXX = XLXXXTL,每个字母表示一个数字,不同字母表示不同数字。其中LL是2位数,TPPXX是5位数,XLXXXTL是7位数。请计算出满足条件的数字等式。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。
{ "game_data": { "answer": "66 * 24411 = 1611126", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": null, "E": null, "F": null, "G": null, "H": null, "I": null, "J": null, "K": null, "L": 6, "M": null, "N": null, "O": null, "P": 4, "Q": null, "R": null, "S": null, "T": 2, "U": null, "V": null, "W": null, "X": 1, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "LL", "TPPXX", "XLXXXTL" ], "num_letter": 4, "numbers": [ 66, 24411, 1611126 ], "operator_level": 3, "operator_num": 1, "operators": [ "*" ], "seed": 69762040, "trace_id": "3046ff6b-03d8-4e1a-bb9d-d55c0777d081" }, "question": "给定一个字母等式:LL * TPPXX = XLXXXTL,每个字母表示一个数字,不同字母表示不同数字。其中LL是2位数,TPPXX是5位数,XLXXXTL是7位数。请计算出满足条件的数字等式。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。" }, "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": null, "E": null, "F": null, "G": null, "H": null, "I": null, "J": null, "K": null, "L": 6, "M": null, "N": null, "O": null, "P": 4, "Q": null, "R": null, "S": null, "T": 2, "U": null, "V": null, "W": null, "X": 1, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "LL", "TPPXX", "XLXXXTL" ], "num_letter": 4, "numbers": [ 66, 24411, 1611126 ], "operator_level": 3, "operator_num": 1, "operators": [ "*" ], "seed": 69762040, "trace_id": "3046ff6b-03d8-4e1a-bb9d-d55c0777d081" }, "seed": 69762040, "task_id": 369762040, "task_type": "cryptarithm" }
logic-v2
解决密码算术谜题:NYYJ + GJ - NJY - GGG = GYJJ(其中NYYJ是4位数、GJ是2位数、NJY是3位数、GGG是3位数、GYJJ是4位数),其中每个字母表示0-9之间的一个数字,不同字母代表不同数字。请计算出使等式成立的数字等式。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。
{ "game_data": { "answer": "5226 + 46 - 562 - 444 = 4266", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": null, "E": null, "F": null, "G": 4, "H": null, "I": null, "J": 6, "K": null, "L": null, "M": null, "N": 5, "O": null, "P": null, "Q": null, "R": null, "S": null, "T": null, "U": null, "V": null, "W": null, "X": null, "Y": 2, "Z": null }, "language": "chinese", "letter_words": [ "NYYJ", "GJ", "NJY", "GGG", "GYJJ" ], "num_letter": 4, "numbers": [ 5226, 46, 562, 444, 4266 ], "operator_level": 1, "operator_num": 3, "operators": [ "+", "-", "-" ], "seed": 92934608, "trace_id": "e578c361-9c90-411b-a152-db16e0a3521a" }, "question": "解决密码算术谜题:NYYJ + GJ - NJY - GGG = GYJJ(其中NYYJ是4位数、GJ是2位数、NJY是3位数、GGG是3位数、GYJJ是4位数),其中每个字母表示0-9之间的一个数字,不同字母代表不同数字。请计算出使等式成立的数字等式。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。" }, "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": null, "E": null, "F": null, "G": 4, "H": null, "I": null, "J": 6, "K": null, "L": null, "M": null, "N": 5, "O": null, "P": null, "Q": null, "R": null, "S": null, "T": null, "U": null, "V": null, "W": null, "X": null, "Y": 2, "Z": null }, "language": "chinese", "letter_words": [ "NYYJ", "GJ", "NJY", "GGG", "GYJJ" ], "num_letter": 4, "numbers": [ 5226, 46, 562, 444, 4266 ], "operator_level": 1, "operator_num": 3, "operators": [ "+", "-", "-" ], "seed": 92934608, "trace_id": "e578c361-9c90-411b-a152-db16e0a3521a" }, "seed": 92934608, "task_id": 392934608, "task_type": "cryptarithm" }
logic-v2
已知字母等式:OV * OHJSO - VHO = JJVJVHS(其中OV是2位数、OHJSO是5位数、VHO是3位数、JJVJVHS是7位数),每个字母代表一个数字,不同字母代表不同数字。请找出让等式成立的数字替换方案。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。
{ "game_data": { "answer": "46 * 49204 - 694 = 2262690", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": null, "E": null, "F": null, "G": null, "H": 9, "I": null, "J": 2, "K": null, "L": null, "M": null, "N": null, "O": 4, "P": null, "Q": null, "R": null, "S": 0, "T": null, "U": null, "V": 6, "W": null, "X": null, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "OV", "OHJSO", "VHO", "JJVJVHS" ], "num_letter": 5, "numbers": [ 46, 49204, 694, 2262690 ], "operator_level": 3, "operator_num": 2, "operators": [ "*", "-" ], "seed": 50323737, "trace_id": "eb457597-7f02-4d6e-9a68-6213bd09480e" }, "question": "已知字母等式:OV * OHJSO - VHO = JJVJVHS(其中OV是2位数、OHJSO是5位数、VHO是3位数、JJVJVHS是7位数),每个字母代表一个数字,不同字母代表不同数字。请找出让等式成立的数字替换方案。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。" }, "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": null, "E": null, "F": null, "G": null, "H": 9, "I": null, "J": 2, "K": null, "L": null, "M": null, "N": null, "O": 4, "P": null, "Q": null, "R": null, "S": 0, "T": null, "U": null, "V": 6, "W": null, "X": null, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "OV", "OHJSO", "VHO", "JJVJVHS" ], "num_letter": 5, "numbers": [ 46, 49204, 694, 2262690 ], "operator_level": 3, "operator_num": 2, "operators": [ "*", "-" ], "seed": 50323737, "trace_id": "eb457597-7f02-4d6e-9a68-6213bd09480e" }, "seed": 50323737, "task_id": 350323737, "task_type": "cryptarithm" }
logic-v2
In this alphametic puzzle: VXPXT - VXXVV + XPTX - XNP = TPTX, each letter represents a distinct digit from 0-9. Determine the digits that make the equation valid. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits.
{ "game_data": { "answer": "27476 - 27722 + 7467 - 754 = 6467", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": null, "E": null, "F": null, "G": null, "H": null, "I": null, "J": null, "K": null, "L": null, "M": null, "N": 5, "O": null, "P": 4, "Q": null, "R": null, "S": null, "T": 6, "U": null, "V": 2, "W": null, "X": 7, "Y": null, "Z": null }, "language": "english", "letter_words": [ "VXPXT", "VXXVV", "XPTX", "XNP", "TPTX" ], "num_letter": 5, "numbers": [ 27476, 27722, 7467, 754, 6467 ], "operator_level": 2, "operator_num": 3, "operators": [ "-", "+", "-" ], "seed": 61816981, "trace_id": "f94684c1-657c-416b-8a77-8d54ee48e9da" }, "question": "In this alphametic puzzle: VXPXT - VXXVV + XPTX - XNP = TPTX, each letter represents a distinct digit from 0-9. Determine the digits that make the equation valid. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits." }, "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": null, "E": null, "F": null, "G": null, "H": null, "I": null, "J": null, "K": null, "L": null, "M": null, "N": 5, "O": null, "P": 4, "Q": null, "R": null, "S": null, "T": 6, "U": null, "V": 2, "W": null, "X": 7, "Y": null, "Z": null }, "language": "english", "letter_words": [ "VXPXT", "VXXVV", "XPTX", "XNP", "TPTX" ], "num_letter": 5, "numbers": [ 27476, 27722, 7467, 754, 6467 ], "operator_level": 2, "operator_num": 3, "operators": [ "-", "+", "-" ], "seed": 61816981, "trace_id": "f94684c1-657c-416b-8a77-8d54ee48e9da" }, "seed": 61816981, "task_id": 361816981, "task_type": "cryptarithm" }
logic-v2
Given: ZIFIFT + FITT = ZYIZYY, where each letter represents a unique digit (ZIFIFT is a 6-digit number, FITT is a 4-digit number, and ZYIZYY is a 6-digit number). Find the numeric equation that makes the equality valid. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits.
{ "game_data": { "answer": "157578 + 7588 = 165166", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": null, "E": null, "F": 7, "G": null, "H": null, "I": 5, "J": null, "K": null, "L": null, "M": null, "N": null, "O": null, "P": null, "Q": null, "R": null, "S": null, "T": 8, "U": null, "V": null, "W": null, "X": null, "Y": 6, "Z": 1 }, "language": "english", "letter_words": [ "ZIFIFT", "FITT", "ZYIZYY" ], "num_letter": 5, "numbers": [ 157578, 7588, 165166 ], "operator_level": 2, "operator_num": 1, "operators": [ "+" ], "seed": 1627515, "trace_id": "3f0755bb-d8e9-4e4e-a520-a11af50f80fc" }, "question": "Given: ZIFIFT + FITT = ZYIZYY, where each letter represents a unique digit (ZIFIFT is a 6-digit number, FITT is a 4-digit number, and ZYIZYY is a 6-digit number). Find the numeric equation that makes the equality valid. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits." }, "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": null, "E": null, "F": 7, "G": null, "H": null, "I": 5, "J": null, "K": null, "L": null, "M": null, "N": null, "O": null, "P": null, "Q": null, "R": null, "S": null, "T": 8, "U": null, "V": null, "W": null, "X": null, "Y": 6, "Z": 1 }, "language": "english", "letter_words": [ "ZIFIFT", "FITT", "ZYIZYY" ], "num_letter": 5, "numbers": [ 157578, 7588, 165166 ], "operator_level": 2, "operator_num": 1, "operators": [ "+" ], "seed": 1627515, "trace_id": "3f0755bb-d8e9-4e4e-a520-a11af50f80fc" }, "seed": 1627515, "task_id": 301627515, "task_type": "cryptarithm" }
logic-v2
In this alphametic puzzle: BTXKXI - XKBX - IKB = BXKIBB, each letter represents a distinct digit from 0-9. Determine the digits that make the equation valid. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits.
{ "game_data": { "answer": "632924 - 2962 - 496 = 629466", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": 6, "C": null, "D": null, "E": null, "F": null, "G": null, "H": null, "I": 4, "J": null, "K": 9, "L": null, "M": null, "N": null, "O": null, "P": null, "Q": null, "R": null, "S": null, "T": 3, "U": null, "V": null, "W": null, "X": 2, "Y": null, "Z": null }, "language": "english", "letter_words": [ "BTXKXI", "XKBX", "IKB", "BXKIBB" ], "num_letter": 5, "numbers": [ 632924, 2962, 496, 629466 ], "operator_level": 1, "operator_num": 2, "operators": [ "-", "-" ], "seed": 53785625, "trace_id": "45760973-6d83-4adf-9551-c8aaca807ac6" }, "question": "In this alphametic puzzle: BTXKXI - XKBX - IKB = BXKIBB, each letter represents a distinct digit from 0-9. Determine the digits that make the equation valid. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits." }, "metadata": { "digit_map": { "A": null, "B": 6, "C": null, "D": null, "E": null, "F": null, "G": null, "H": null, "I": 4, "J": null, "K": 9, "L": null, "M": null, "N": null, "O": null, "P": null, "Q": null, "R": null, "S": null, "T": 3, "U": null, "V": null, "W": null, "X": 2, "Y": null, "Z": null }, "language": "english", "letter_words": [ "BTXKXI", "XKBX", "IKB", "BXKIBB" ], "num_letter": 5, "numbers": [ 632924, 2962, 496, 629466 ], "operator_level": 1, "operator_num": 2, "operators": [ "-", "-" ], "seed": 53785625, "trace_id": "45760973-6d83-4adf-9551-c8aaca807ac6" }, "seed": 53785625, "task_id": 353785625, "task_type": "cryptarithm" }
logic-v2
解决密码算术谜题:OSSK - OC + KQK + QKCSCS = QKKQQC(其中OSSK是4位数、OC是2位数、KQK是3位数、QKCSCS是6位数、QKKQQC是6位数),其中每个字母表示0-9之间的一个数字,不同字母代表不同数字。请计算出使等式成立的数字等式。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。
{ "game_data": { "answer": "4225 - 41 + 595 + 951212 = 955991", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": null, "C": 1, "D": null, "E": null, "F": null, "G": null, "H": null, "I": null, "J": null, "K": 5, "L": null, "M": null, "N": null, "O": 4, "P": null, "Q": 9, "R": null, "S": 2, "T": null, "U": null, "V": null, "W": null, "X": null, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "OSSK", "OC", "KQK", "QKCSCS", "QKKQQC" ], "num_letter": 5, "numbers": [ 4225, 41, 595, 951212, 955991 ], "operator_level": 1, "operator_num": 3, "operators": [ "-", "+", "+" ], "seed": 13276192, "trace_id": "1e0bd0c9-9895-46eb-b258-2ceb37c67f35" }, "question": "解决密码算术谜题:OSSK - OC + KQK + QKCSCS = QKKQQC(其中OSSK是4位数、OC是2位数、KQK是3位数、QKCSCS是6位数、QKKQQC是6位数),其中每个字母表示0-9之间的一个数字,不同字母代表不同数字。请计算出使等式成立的数字等式。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。" }, "metadata": { "digit_map": { "A": null, "B": null, "C": 1, "D": null, "E": null, "F": null, "G": null, "H": null, "I": null, "J": null, "K": 5, "L": null, "M": null, "N": null, "O": 4, "P": null, "Q": 9, "R": null, "S": 2, "T": null, "U": null, "V": null, "W": null, "X": null, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "OSSK", "OC", "KQK", "QKCSCS", "QKKQQC" ], "num_letter": 5, "numbers": [ 4225, 41, 595, 951212, 955991 ], "operator_level": 1, "operator_num": 3, "operators": [ "-", "+", "+" ], "seed": 13276192, "trace_id": "1e0bd0c9-9895-46eb-b258-2ceb37c67f35" }, "seed": 13276192, "task_id": 313276192, "task_type": "cryptarithm" }
logic-v2
Solve this cryptarithm: GGJA + LALGJ * AEL = LGJAALGA, where each letter represents a unique digit. Find the digit substitution that makes the equation true. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits.
{ "game_data": { "answer": "5508 + 18150 * 831 = 15088158", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": 8, "B": null, "C": null, "D": null, "E": 3, "F": null, "G": 5, "H": null, "I": null, "J": 0, "K": null, "L": 1, "M": null, "N": null, "O": null, "P": null, "Q": null, "R": null, "S": null, "T": null, "U": null, "V": null, "W": null, "X": null, "Y": null, "Z": null }, "language": "english", "letter_words": [ "GGJA", "LALGJ", "AEL", "LGJAALGA" ], "num_letter": 5, "numbers": [ 5508, 18150, 831, 15088158 ], "operator_level": 3, "operator_num": 2, "operators": [ "+", "*" ], "seed": 20033763, "trace_id": "75b0dab9-98ff-4b6f-975c-f61c3b56cf5a" }, "question": "Solve this cryptarithm: GGJA + LALGJ * AEL = LGJAALGA, where each letter represents a unique digit. Find the digit substitution that makes the equation true. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits." }, "metadata": { "digit_map": { "A": 8, "B": null, "C": null, "D": null, "E": 3, "F": null, "G": 5, "H": null, "I": null, "J": 0, "K": null, "L": 1, "M": null, "N": null, "O": null, "P": null, "Q": null, "R": null, "S": null, "T": null, "U": null, "V": null, "W": null, "X": null, "Y": null, "Z": null }, "language": "english", "letter_words": [ "GGJA", "LALGJ", "AEL", "LGJAALGA" ], "num_letter": 5, "numbers": [ 5508, 18150, 831, 15088158 ], "operator_level": 3, "operator_num": 2, "operators": [ "+", "*" ], "seed": 20033763, "trace_id": "75b0dab9-98ff-4b6f-975c-f61c3b56cf5a" }, "seed": 20033763, "task_id": 320033763, "task_type": "cryptarithm" }
logic-v2
有一个等式:JJDEE + JQJJ = QDEJJ,其中每个字母代表一个不同的数字(JJDEE 是 5 位数、JQJJ 是 4 位数、QDEJJ 是 5 位数)。请找出每个字母代表的数字,使等式成立。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。
{ "game_data": { "answer": "66300 + 6766 = 73066", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": 3, "E": 0, "F": null, "G": null, "H": null, "I": null, "J": 6, "K": null, "L": null, "M": null, "N": null, "O": null, "P": null, "Q": 7, "R": null, "S": null, "T": null, "U": null, "V": null, "W": null, "X": null, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "JJDEE", "JQJJ", "QDEJJ" ], "num_letter": 4, "numbers": [ 66300, 6766, 73066 ], "operator_level": 3, "operator_num": 1, "operators": [ "+" ], "seed": 49237925, "trace_id": "32f4147f-fc71-4ab3-bf28-13f9c915578c" }, "question": "有一个等式:JJDEE + JQJJ = QDEJJ,其中每个字母代表一个不同的数字(JJDEE 是 5 位数、JQJJ 是 4 位数、QDEJJ 是 5 位数)。请找出每个字母代表的数字,使等式成立。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。" }, "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": 3, "E": 0, "F": null, "G": null, "H": null, "I": null, "J": 6, "K": null, "L": null, "M": null, "N": null, "O": null, "P": null, "Q": 7, "R": null, "S": null, "T": null, "U": null, "V": null, "W": null, "X": null, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "JJDEE", "JQJJ", "QDEJJ" ], "num_letter": 4, "numbers": [ 66300, 6766, 73066 ], "operator_level": 3, "operator_num": 1, "operators": [ "+" ], "seed": 49237925, "trace_id": "32f4147f-fc71-4ab3-bf28-13f9c915578c" }, "seed": 49237925, "task_id": 349237925, "task_type": "cryptarithm" }
logic-v2
Given: FGTX - XGT = XGX, where each letter represents a unique digit (FGTX is a 4-digit number, XGT is a 3-digit number, and XGX is a 3-digit number). Find the numeric equation that makes the equality valid. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits.
{ "game_data": { "answer": "1507 - 750 = 757", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": null, "E": null, "F": 1, "G": 5, "H": null, "I": null, "J": null, "K": null, "L": null, "M": null, "N": null, "O": null, "P": null, "Q": null, "R": null, "S": null, "T": 0, "U": null, "V": null, "W": null, "X": 7, "Y": null, "Z": null }, "language": "english", "letter_words": [ "FGTX", "XGT", "XGX" ], "num_letter": 4, "numbers": [ 1507, 750, 757 ], "operator_level": 1, "operator_num": 1, "operators": [ "-" ], "seed": 79854478, "trace_id": "750998dd-4f8e-48d2-bc59-2f316154cdca" }, "question": "Given: FGTX - XGT = XGX, where each letter represents a unique digit (FGTX is a 4-digit number, XGT is a 3-digit number, and XGX is a 3-digit number). Find the numeric equation that makes the equality valid. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits." }, "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": null, "E": null, "F": 1, "G": 5, "H": null, "I": null, "J": null, "K": null, "L": null, "M": null, "N": null, "O": null, "P": null, "Q": null, "R": null, "S": null, "T": 0, "U": null, "V": null, "W": null, "X": 7, "Y": null, "Z": null }, "language": "english", "letter_words": [ "FGTX", "XGT", "XGX" ], "num_letter": 4, "numbers": [ 1507, 750, 757 ], "operator_level": 1, "operator_num": 1, "operators": [ "-" ], "seed": 79854478, "trace_id": "750998dd-4f8e-48d2-bc59-2f316154cdca" }, "seed": 79854478, "task_id": 379854478, "task_type": "cryptarithm" }
logic-v2
给定一个字母等式:BWI + WOWWIO = WOBIOI,每个字母表示一个数字,不同字母表示不同数字。其中BWI是3位数,WOWWIO是6位数,WOBIOI是6位数。请计算出满足条件的数字等式。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。
{ "game_data": { "answer": "764 + 606640 = 607404", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": 7, "C": null, "D": null, "E": null, "F": null, "G": null, "H": null, "I": 4, "J": null, "K": null, "L": null, "M": null, "N": null, "O": 0, "P": null, "Q": null, "R": null, "S": null, "T": null, "U": null, "V": null, "W": 6, "X": null, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "BWI", "WOWWIO", "WOBIOI" ], "num_letter": 4, "numbers": [ 764, 606640, 607404 ], "operator_level": 1, "operator_num": 1, "operators": [ "+" ], "seed": 4588184, "trace_id": "a7a6b83f-72a9-4561-a270-5a040740b5f0" }, "question": "给定一个字母等式:BWI + WOWWIO = WOBIOI,每个字母表示一个数字,不同字母表示不同数字。其中BWI是3位数,WOWWIO是6位数,WOBIOI是6位数。请计算出满足条件的数字等式。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。" }, "metadata": { "digit_map": { "A": null, "B": 7, "C": null, "D": null, "E": null, "F": null, "G": null, "H": null, "I": 4, "J": null, "K": null, "L": null, "M": null, "N": null, "O": 0, "P": null, "Q": null, "R": null, "S": null, "T": null, "U": null, "V": null, "W": 6, "X": null, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "BWI", "WOWWIO", "WOBIOI" ], "num_letter": 4, "numbers": [ 764, 606640, 607404 ], "operator_level": 1, "operator_num": 1, "operators": [ "+" ], "seed": 4588184, "trace_id": "a7a6b83f-72a9-4561-a270-5a040740b5f0" }, "seed": 4588184, "task_id": 304588184, "task_type": "cryptarithm" }
logic-v2
解决密码算术谜题:TTOB + BQOBB + O = BBBQT(其中TTOB是4位数、BQOBB是5位数、O是1位数、BBBQT是5位数),其中每个字母表示0-9之间的一个数字,不同字母代表不同数字。请计算出使等式成立的数字等式。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。
{ "game_data": { "answer": "3359 + 96599 + 5 = 99963", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": 9, "C": null, "D": null, "E": null, "F": null, "G": null, "H": null, "I": null, "J": null, "K": null, "L": null, "M": null, "N": null, "O": 5, "P": null, "Q": 6, "R": null, "S": null, "T": 3, "U": null, "V": null, "W": null, "X": null, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "TTOB", "BQOBB", "O", "BBBQT" ], "num_letter": 4, "numbers": [ 3359, 96599, 5, 99963 ], "operator_level": 2, "operator_num": 2, "operators": [ "+", "+" ], "seed": 4116990, "trace_id": "8ec1ac1b-7c29-4dd2-b79f-733c5b638fb8" }, "question": "解决密码算术谜题:TTOB + BQOBB + O = BBBQT(其中TTOB是4位数、BQOBB是5位数、O是1位数、BBBQT是5位数),其中每个字母表示0-9之间的一个数字,不同字母代表不同数字。请计算出使等式成立的数字等式。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。" }, "metadata": { "digit_map": { "A": null, "B": 9, "C": null, "D": null, "E": null, "F": null, "G": null, "H": null, "I": null, "J": null, "K": null, "L": null, "M": null, "N": null, "O": 5, "P": null, "Q": 6, "R": null, "S": null, "T": 3, "U": null, "V": null, "W": null, "X": null, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "TTOB", "BQOBB", "O", "BBBQT" ], "num_letter": 4, "numbers": [ 3359, 96599, 5, 99963 ], "operator_level": 2, "operator_num": 2, "operators": [ "+", "+" ], "seed": 4116990, "trace_id": "8ec1ac1b-7c29-4dd2-b79f-733c5b638fb8" }, "seed": 4116990, "task_id": 304116990, "task_type": "cryptarithm" }
logic-v2
已知字母等式:CFGFC + GVGVRF - VVV = CRVGFR(其中CFGFC是5位数、GVGVRF是6位数、VVV是3位数、CRVGFR是6位数),每个字母代表一个数字,不同字母代表不同数字。请找出让等式成立的数字替换方案。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。
{ "game_data": { "answer": "85758 + 727215 - 222 = 812751", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": null, "C": 8, "D": null, "E": null, "F": 5, "G": 7, "H": null, "I": null, "J": null, "K": null, "L": null, "M": null, "N": null, "O": null, "P": null, "Q": null, "R": 1, "S": null, "T": null, "U": null, "V": 2, "W": null, "X": null, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "CFGFC", "GVGVRF", "VVV", "CRVGFR" ], "num_letter": 5, "numbers": [ 85758, 727215, 222, 812751 ], "operator_level": 1, "operator_num": 2, "operators": [ "+", "-" ], "seed": 51127876, "trace_id": "5d446c14-3db8-4a30-a222-9879cb059fa0" }, "question": "已知字母等式:CFGFC + GVGVRF - VVV = CRVGFR(其中CFGFC是5位数、GVGVRF是6位数、VVV是3位数、CRVGFR是6位数),每个字母代表一个数字,不同字母代表不同数字。请找出让等式成立的数字替换方案。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。" }, "metadata": { "digit_map": { "A": null, "B": null, "C": 8, "D": null, "E": null, "F": 5, "G": 7, "H": null, "I": null, "J": null, "K": null, "L": null, "M": null, "N": null, "O": null, "P": null, "Q": null, "R": 1, "S": null, "T": null, "U": null, "V": 2, "W": null, "X": null, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "CFGFC", "GVGVRF", "VVV", "CRVGFR" ], "num_letter": 5, "numbers": [ 85758, 727215, 222, 812751 ], "operator_level": 1, "operator_num": 2, "operators": [ "+", "-" ], "seed": 51127876, "trace_id": "5d446c14-3db8-4a30-a222-9879cb059fa0" }, "seed": 51127876, "task_id": 351127876, "task_type": "cryptarithm" }
logic-v2
已知字母等式:LLAYAV - YLL * S = LYVYLL(其中LLAYAV是6位数、YLL是3位数、S是1位数、LYVYLL是6位数),每个字母代表一个数字,不同字母代表不同数字。请找出让等式成立的数字替换方案。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。
{ "game_data": { "answer": "662528 - 566 * 7 = 658566", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": 2, "B": null, "C": null, "D": null, "E": null, "F": null, "G": null, "H": null, "I": null, "J": null, "K": null, "L": 6, "M": null, "N": null, "O": null, "P": null, "Q": null, "R": null, "S": 7, "T": null, "U": null, "V": 8, "W": null, "X": null, "Y": 5, "Z": null }, "language": "chinese", "letter_words": [ "LLAYAV", "YLL", "S", "LYVYLL" ], "num_letter": 5, "numbers": [ 662528, 566, 7, 658566 ], "operator_level": 3, "operator_num": 2, "operators": [ "-", "*" ], "seed": 16907117, "trace_id": "593d2852-b10e-42da-a8ae-ac685fbbeac0" }, "question": "已知字母等式:LLAYAV - YLL * S = LYVYLL(其中LLAYAV是6位数、YLL是3位数、S是1位数、LYVYLL是6位数),每个字母代表一个数字,不同字母代表不同数字。请找出让等式成立的数字替换方案。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。" }, "metadata": { "digit_map": { "A": 2, "B": null, "C": null, "D": null, "E": null, "F": null, "G": null, "H": null, "I": null, "J": null, "K": null, "L": 6, "M": null, "N": null, "O": null, "P": null, "Q": null, "R": null, "S": 7, "T": null, "U": null, "V": 8, "W": null, "X": null, "Y": 5, "Z": null }, "language": "chinese", "letter_words": [ "LLAYAV", "YLL", "S", "LYVYLL" ], "num_letter": 5, "numbers": [ 662528, 566, 7, 658566 ], "operator_level": 3, "operator_num": 2, "operators": [ "-", "*" ], "seed": 16907117, "trace_id": "593d2852-b10e-42da-a8ae-ac685fbbeac0" }, "seed": 16907117, "task_id": 316907117, "task_type": "cryptarithm" }
logic-v2
Solve the following alphametic puzzle: JHHVV + LULJJJ = JHLVJL, where each letter represents a unique digit. Note that JHHVV is a 5-digit number, LULJJJ is a 6-digit number, and JHLVJL is a 6-digit number. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits.
{ "game_data": { "answer": "80099 + 727888 = 807987", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": null, "E": null, "F": null, "G": null, "H": 0, "I": null, "J": 8, "K": null, "L": 7, "M": null, "N": null, "O": null, "P": null, "Q": null, "R": null, "S": null, "T": null, "U": 2, "V": 9, "W": null, "X": null, "Y": null, "Z": null }, "language": "english", "letter_words": [ "JHHVV", "LULJJJ", "JHLVJL" ], "num_letter": 5, "numbers": [ 80099, 727888, 807987 ], "operator_level": 2, "operator_num": 1, "operators": [ "+" ], "seed": 25111377, "trace_id": "6f108f3b-9683-4049-becc-6ae1adb623e3" }, "question": "Solve the following alphametic puzzle: JHHVV + LULJJJ = JHLVJL, where each letter represents a unique digit. Note that JHHVV is a 5-digit number, LULJJJ is a 6-digit number, and JHLVJL is a 6-digit number. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits." }, "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": null, "E": null, "F": null, "G": null, "H": 0, "I": null, "J": 8, "K": null, "L": 7, "M": null, "N": null, "O": null, "P": null, "Q": null, "R": null, "S": null, "T": null, "U": 2, "V": 9, "W": null, "X": null, "Y": null, "Z": null }, "language": "english", "letter_words": [ "JHHVV", "LULJJJ", "JHLVJL" ], "num_letter": 5, "numbers": [ 80099, 727888, 807987 ], "operator_level": 2, "operator_num": 1, "operators": [ "+" ], "seed": 25111377, "trace_id": "6f108f3b-9683-4049-becc-6ae1adb623e3" }, "seed": 25111377, "task_id": 325111377, "task_type": "cryptarithm" }
logic-v2
Given: TFAVTT - AAA = TFFQVF, where each letter represents a unique digit (TFAVTT is a 6-digit number, AAA is a 3-digit number, and TFFQVF is a 6-digit number). Find the numeric equation that makes the equality valid. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits.
{ "game_data": { "answer": "156411 - 666 = 155745", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": 6, "B": null, "C": null, "D": null, "E": null, "F": 5, "G": null, "H": null, "I": null, "J": null, "K": null, "L": null, "M": null, "N": null, "O": null, "P": null, "Q": 7, "R": null, "S": null, "T": 1, "U": null, "V": 4, "W": null, "X": null, "Y": null, "Z": null }, "language": "english", "letter_words": [ "TFAVTT", "AAA", "TFFQVF" ], "num_letter": 5, "numbers": [ 156411, 666, 155745 ], "operator_level": 3, "operator_num": 1, "operators": [ "-" ], "seed": 40138695, "trace_id": "d3b921f4-2927-4ac6-9992-575c6757b919" }, "question": "Given: TFAVTT - AAA = TFFQVF, where each letter represents a unique digit (TFAVTT is a 6-digit number, AAA is a 3-digit number, and TFFQVF is a 6-digit number). Find the numeric equation that makes the equality valid. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits." }, "metadata": { "digit_map": { "A": 6, "B": null, "C": null, "D": null, "E": null, "F": 5, "G": null, "H": null, "I": null, "J": null, "K": null, "L": null, "M": null, "N": null, "O": null, "P": null, "Q": 7, "R": null, "S": null, "T": 1, "U": null, "V": 4, "W": null, "X": null, "Y": null, "Z": null }, "language": "english", "letter_words": [ "TFAVTT", "AAA", "TFFQVF" ], "num_letter": 5, "numbers": [ 156411, 666, 155745 ], "operator_level": 3, "operator_num": 1, "operators": [ "-" ], "seed": 40138695, "trace_id": "d3b921f4-2927-4ac6-9992-575c6757b919" }, "seed": 40138695, "task_id": 340138695, "task_type": "cryptarithm" }
logic-v2
已知字母等式:IRIBGR + XIXBX + BXBB = RGXGBB(其中IRIBGR是6位数、XIXBX是5位数、BXBB是4位数、RGXGBB是6位数),每个字母代表一个数字,不同字母代表不同数字。请找出让等式成立的数字替换方案。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。
{ "game_data": { "answer": "343814 + 63686 + 8688 = 416188", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": 8, "C": null, "D": null, "E": null, "F": null, "G": 1, "H": null, "I": 3, "J": null, "K": null, "L": null, "M": null, "N": null, "O": null, "P": null, "Q": null, "R": 4, "S": null, "T": null, "U": null, "V": null, "W": null, "X": 6, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "IRIBGR", "XIXBX", "BXBB", "RGXGBB" ], "num_letter": 5, "numbers": [ 343814, 63686, 8688, 416188 ], "operator_level": 1, "operator_num": 2, "operators": [ "+", "+" ], "seed": 49097975, "trace_id": "4a1ab01d-62e0-46e0-ab46-c0e8b572e55f" }, "question": "已知字母等式:IRIBGR + XIXBX + BXBB = RGXGBB(其中IRIBGR是6位数、XIXBX是5位数、BXBB是4位数、RGXGBB是6位数),每个字母代表一个数字,不同字母代表不同数字。请找出让等式成立的数字替换方案。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。" }, "metadata": { "digit_map": { "A": null, "B": 8, "C": null, "D": null, "E": null, "F": null, "G": 1, "H": null, "I": 3, "J": null, "K": null, "L": null, "M": null, "N": null, "O": null, "P": null, "Q": null, "R": 4, "S": null, "T": null, "U": null, "V": null, "W": null, "X": 6, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "IRIBGR", "XIXBX", "BXBB", "RGXGBB" ], "num_letter": 5, "numbers": [ 343814, 63686, 8688, 416188 ], "operator_level": 1, "operator_num": 2, "operators": [ "+", "+" ], "seed": 49097975, "trace_id": "4a1ab01d-62e0-46e0-ab46-c0e8b572e55f" }, "seed": 49097975, "task_id": 349097975, "task_type": "cryptarithm" }
logic-v2
给定一个字母等式:KHTTT * D = TDHHH,每个字母表示一个数字,不同字母表示不同数字。其中KHTTT是5位数,D是1位数,TDHHH是5位数。请计算出满足条件的数字等式。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。
{ "game_data": { "answer": "16333 * 2 = 32666", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": 2, "E": null, "F": null, "G": null, "H": 6, "I": null, "J": null, "K": 1, "L": null, "M": null, "N": null, "O": null, "P": null, "Q": null, "R": null, "S": null, "T": 3, "U": null, "V": null, "W": null, "X": null, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "KHTTT", "D", "TDHHH" ], "num_letter": 4, "numbers": [ 16333, 2, 32666 ], "operator_level": 3, "operator_num": 1, "operators": [ "*" ], "seed": 47001077, "trace_id": "f7dbce00-819d-46be-9664-fbbd580e169a" }, "question": "给定一个字母等式:KHTTT * D = TDHHH,每个字母表示一个数字,不同字母表示不同数字。其中KHTTT是5位数,D是1位数,TDHHH是5位数。请计算出满足条件的数字等式。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。" }, "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": 2, "E": null, "F": null, "G": null, "H": 6, "I": null, "J": null, "K": 1, "L": null, "M": null, "N": null, "O": null, "P": null, "Q": null, "R": null, "S": null, "T": 3, "U": null, "V": null, "W": null, "X": null, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "KHTTT", "D", "TDHHH" ], "num_letter": 4, "numbers": [ 16333, 2, 32666 ], "operator_level": 3, "operator_num": 1, "operators": [ "*" ], "seed": 47001077, "trace_id": "f7dbce00-819d-46be-9664-fbbd580e169a" }, "seed": 47001077, "task_id": 347001077, "task_type": "cryptarithm" }
logic-v2
已知字母等式:YLWR + TTYTY + TRRTWL = TYWTLT(其中YLWR是4位数、TTYTY是5位数、TRRTWL是6位数、TYWTLT是6位数),每个字母代表一个数字,不同字母代表不同数字。请找出让等式成立的数字替换方案。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。
{ "game_data": { "answer": "3672 + 11313 + 122176 = 137161", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": null, "E": null, "F": null, "G": null, "H": null, "I": null, "J": null, "K": null, "L": 6, "M": null, "N": null, "O": null, "P": null, "Q": null, "R": 2, "S": null, "T": 1, "U": null, "V": null, "W": 7, "X": null, "Y": 3, "Z": null }, "language": "chinese", "letter_words": [ "YLWR", "TTYTY", "TRRTWL", "TYWTLT" ], "num_letter": 5, "numbers": [ 3672, 11313, 122176, 137161 ], "operator_level": 2, "operator_num": 2, "operators": [ "+", "+" ], "seed": 64389095, "trace_id": "1a193e92-86cc-4c50-980c-a068d4780717" }, "question": "已知字母等式:YLWR + TTYTY + TRRTWL = TYWTLT(其中YLWR是4位数、TTYTY是5位数、TRRTWL是6位数、TYWTLT是6位数),每个字母代表一个数字,不同字母代表不同数字。请找出让等式成立的数字替换方案。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。" }, "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": null, "E": null, "F": null, "G": null, "H": null, "I": null, "J": null, "K": null, "L": 6, "M": null, "N": null, "O": null, "P": null, "Q": null, "R": 2, "S": null, "T": 1, "U": null, "V": null, "W": 7, "X": null, "Y": 3, "Z": null }, "language": "chinese", "letter_words": [ "YLWR", "TTYTY", "TRRTWL", "TYWTLT" ], "num_letter": 5, "numbers": [ 3672, 11313, 122176, 137161 ], "operator_level": 2, "operator_num": 2, "operators": [ "+", "+" ], "seed": 64389095, "trace_id": "1a193e92-86cc-4c50-980c-a068d4780717" }, "seed": 64389095, "task_id": 364389095, "task_type": "cryptarithm" }
logic-v2
Solve this cryptarithm: YVQQVQ + VYVYSP + PPP + QSS = PYYQVVY, where each letter represents a unique digit. Find the digit substitution that makes the equation true. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits.
{ "game_data": { "answer": "397797 + 939341 + 111 + 744 = 1337993", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": null, "E": null, "F": null, "G": null, "H": null, "I": null, "J": null, "K": null, "L": null, "M": null, "N": null, "O": null, "P": 1, "Q": 7, "R": null, "S": 4, "T": null, "U": null, "V": 9, "W": null, "X": null, "Y": 3, "Z": null }, "language": "english", "letter_words": [ "YVQQVQ", "VYVYSP", "PPP", "QSS", "PYYQVVY" ], "num_letter": 5, "numbers": [ 397797, 939341, 111, 744, 1337993 ], "operator_level": 1, "operator_num": 3, "operators": [ "+", "+", "+" ], "seed": 72905771, "trace_id": "70405a38-72a2-46ec-a64f-e52ea2990c41" }, "question": "Solve this cryptarithm: YVQQVQ + VYVYSP + PPP + QSS = PYYQVVY, where each letter represents a unique digit. Find the digit substitution that makes the equation true. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits." }, "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": null, "E": null, "F": null, "G": null, "H": null, "I": null, "J": null, "K": null, "L": null, "M": null, "N": null, "O": null, "P": 1, "Q": 7, "R": null, "S": 4, "T": null, "U": null, "V": 9, "W": null, "X": null, "Y": 3, "Z": null }, "language": "english", "letter_words": [ "YVQQVQ", "VYVYSP", "PPP", "QSS", "PYYQVVY" ], "num_letter": 5, "numbers": [ 397797, 939341, 111, 744, 1337993 ], "operator_level": 1, "operator_num": 3, "operators": [ "+", "+", "+" ], "seed": 72905771, "trace_id": "70405a38-72a2-46ec-a64f-e52ea2990c41" }, "seed": 72905771, "task_id": 372905771, "task_type": "cryptarithm" }
logic-v2
Solve this cryptarithm: IQI - MBMD + QIMDB = MQBDD, where each letter represents a unique digit. Find the digit substitution that makes the equation true. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits.
{ "game_data": { "answer": "161 - 5357 + 61573 = 56377", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": 3, "C": null, "D": 7, "E": null, "F": null, "G": null, "H": null, "I": 1, "J": null, "K": null, "L": null, "M": 5, "N": null, "O": null, "P": null, "Q": 6, "R": null, "S": null, "T": null, "U": null, "V": null, "W": null, "X": null, "Y": null, "Z": null }, "language": "english", "letter_words": [ "IQI", "MBMD", "QIMDB", "MQBDD" ], "num_letter": 5, "numbers": [ 161, 5357, 61573, 56377 ], "operator_level": 1, "operator_num": 2, "operators": [ "-", "+" ], "seed": 86313994, "trace_id": "71ee7e0e-c04e-4a42-8faa-13d98c546505" }, "question": "Solve this cryptarithm: IQI - MBMD + QIMDB = MQBDD, where each letter represents a unique digit. Find the digit substitution that makes the equation true. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits." }, "metadata": { "digit_map": { "A": null, "B": 3, "C": null, "D": 7, "E": null, "F": null, "G": null, "H": null, "I": 1, "J": null, "K": null, "L": null, "M": 5, "N": null, "O": null, "P": null, "Q": 6, "R": null, "S": null, "T": null, "U": null, "V": null, "W": null, "X": null, "Y": null, "Z": null }, "language": "english", "letter_words": [ "IQI", "MBMD", "QIMDB", "MQBDD" ], "num_letter": 5, "numbers": [ 161, 5357, 61573, 56377 ], "operator_level": 1, "operator_num": 2, "operators": [ "-", "+" ], "seed": 86313994, "trace_id": "71ee7e0e-c04e-4a42-8faa-13d98c546505" }, "seed": 86313994, "task_id": 386313994, "task_type": "cryptarithm" }
logic-v2
Solve this cryptarithm: NPN + JKVPP - VPNJ + KNPPV = NVJPP, where each letter represents a unique digit. Find the digit substitution that makes the equation true. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits.
{ "game_data": { "answer": "949 + 26344 - 3492 + 69443 = 93244", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": null, "E": null, "F": null, "G": null, "H": null, "I": null, "J": 2, "K": 6, "L": null, "M": null, "N": 9, "O": null, "P": 4, "Q": null, "R": null, "S": null, "T": null, "U": null, "V": 3, "W": null, "X": null, "Y": null, "Z": null }, "language": "english", "letter_words": [ "NPN", "JKVPP", "VPNJ", "KNPPV", "NVJPP" ], "num_letter": 5, "numbers": [ 949, 26344, 3492, 69443, 93244 ], "operator_level": 2, "operator_num": 3, "operators": [ "+", "-", "+" ], "seed": 56778742, "trace_id": "4a16b851-556d-42aa-8606-2861b3604b7e" }, "question": "Solve this cryptarithm: NPN + JKVPP - VPNJ + KNPPV = NVJPP, where each letter represents a unique digit. Find the digit substitution that makes the equation true. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits." }, "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": null, "E": null, "F": null, "G": null, "H": null, "I": null, "J": 2, "K": 6, "L": null, "M": null, "N": 9, "O": null, "P": 4, "Q": null, "R": null, "S": null, "T": null, "U": null, "V": 3, "W": null, "X": null, "Y": null, "Z": null }, "language": "english", "letter_words": [ "NPN", "JKVPP", "VPNJ", "KNPPV", "NVJPP" ], "num_letter": 5, "numbers": [ 949, 26344, 3492, 69443, 93244 ], "operator_level": 2, "operator_num": 3, "operators": [ "+", "-", "+" ], "seed": 56778742, "trace_id": "4a16b851-556d-42aa-8606-2861b3604b7e" }, "seed": 56778742, "task_id": 356778742, "task_type": "cryptarithm" }
logic-v2
解决密码算术谜题:QWRQ - RQD - OOWQD + WQDDO = OWRDQ(其中QWRQ是4位数、RQD是3位数、OOWQD是5位数、WQDDO是5位数、OWRDQ是5位数),其中每个字母表示0-9之间的一个数字,不同字母代表不同数字。请计算出使等式成立的数字等式。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。
{ "game_data": { "answer": "6836 - 367 - 44867 + 86774 = 48376", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": 7, "E": null, "F": null, "G": null, "H": null, "I": null, "J": null, "K": null, "L": null, "M": null, "N": null, "O": 4, "P": null, "Q": 6, "R": 3, "S": null, "T": null, "U": null, "V": null, "W": 8, "X": null, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "QWRQ", "RQD", "OOWQD", "WQDDO", "OWRDQ" ], "num_letter": 5, "numbers": [ 6836, 367, 44867, 86774, 48376 ], "operator_level": 3, "operator_num": 3, "operators": [ "-", "-", "+" ], "seed": 20427474, "trace_id": "af104361-9eb1-43eb-8f6c-a6a5b61b5dee" }, "question": "解决密码算术谜题:QWRQ - RQD - OOWQD + WQDDO = OWRDQ(其中QWRQ是4位数、RQD是3位数、OOWQD是5位数、WQDDO是5位数、OWRDQ是5位数),其中每个字母表示0-9之间的一个数字,不同字母代表不同数字。请计算出使等式成立的数字等式。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。" }, "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": 7, "E": null, "F": null, "G": null, "H": null, "I": null, "J": null, "K": null, "L": null, "M": null, "N": null, "O": 4, "P": null, "Q": 6, "R": 3, "S": null, "T": null, "U": null, "V": null, "W": 8, "X": null, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "QWRQ", "RQD", "OOWQD", "WQDDO", "OWRDQ" ], "num_letter": 5, "numbers": [ 6836, 367, 44867, 86774, 48376 ], "operator_level": 3, "operator_num": 3, "operators": [ "-", "-", "+" ], "seed": 20427474, "trace_id": "af104361-9eb1-43eb-8f6c-a6a5b61b5dee" }, "seed": 20427474, "task_id": 320427474, "task_type": "cryptarithm" }
logic-v2
In this alphametic puzzle: NXFBJ + NXNFNJ + NBFXF - NBXFXF = XBXBJJ, each letter represents a distinct digit from 0-9. Determine the digits that make the equation valid. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits.
{ "game_data": { "answer": "71630 + 717670 + 73616 - 731616 = 131300", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": 3, "C": null, "D": null, "E": null, "F": 6, "G": null, "H": null, "I": null, "J": 0, "K": null, "L": null, "M": null, "N": 7, "O": null, "P": null, "Q": null, "R": null, "S": null, "T": null, "U": null, "V": null, "W": null, "X": 1, "Y": null, "Z": null }, "language": "english", "letter_words": [ "NXFBJ", "NXNFNJ", "NBFXF", "NBXFXF", "XBXBJJ" ], "num_letter": 5, "numbers": [ 71630, 717670, 73616, 731616, 131300 ], "operator_level": 3, "operator_num": 3, "operators": [ "+", "+", "-" ], "seed": 84129233, "trace_id": "59a7422d-ed84-4003-84b9-e7b178c8a6b2" }, "question": "In this alphametic puzzle: NXFBJ + NXNFNJ + NBFXF - NBXFXF = XBXBJJ, each letter represents a distinct digit from 0-9. Determine the digits that make the equation valid. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits." }, "metadata": { "digit_map": { "A": null, "B": 3, "C": null, "D": null, "E": null, "F": 6, "G": null, "H": null, "I": null, "J": 0, "K": null, "L": null, "M": null, "N": 7, "O": null, "P": null, "Q": null, "R": null, "S": null, "T": null, "U": null, "V": null, "W": null, "X": 1, "Y": null, "Z": null }, "language": "english", "letter_words": [ "NXFBJ", "NXNFNJ", "NBFXF", "NBXFXF", "XBXBJJ" ], "num_letter": 5, "numbers": [ 71630, 717670, 73616, 731616, 131300 ], "operator_level": 3, "operator_num": 3, "operators": [ "+", "+", "-" ], "seed": 84129233, "trace_id": "59a7422d-ed84-4003-84b9-e7b178c8a6b2" }, "seed": 84129233, "task_id": 384129233, "task_type": "cryptarithm" }
logic-v2
解决密码算术谜题:KKCUKU + JJG * GGU - GGGJC = GUJUJGC(其中KKCUKU是6位数、JJG是3位数、GGU是3位数、GGGJC是5位数、GUJUJGC是7位数),其中每个字母表示0-9之间的一个数字,不同字母代表不同数字。请计算出使等式成立的数字等式。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。
{ "game_data": { "answer": "995090 + 881 * 110 - 11185 = 1080815", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": null, "C": 5, "D": null, "E": null, "F": null, "G": 1, "H": null, "I": null, "J": 8, "K": 9, "L": null, "M": null, "N": null, "O": null, "P": null, "Q": null, "R": null, "S": null, "T": null, "U": 0, "V": null, "W": null, "X": null, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "KKCUKU", "JJG", "GGU", "GGGJC", "GUJUJGC" ], "num_letter": 5, "numbers": [ 995090, 881, 110, 11185, 1080815 ], "operator_level": 3, "operator_num": 3, "operators": [ "+", "*", "-" ], "seed": 80672866, "trace_id": "d5a9c960-6d16-4e99-ae87-a0f8aaafd701" }, "question": "解决密码算术谜题:KKCUKU + JJG * GGU - GGGJC = GUJUJGC(其中KKCUKU是6位数、JJG是3位数、GGU是3位数、GGGJC是5位数、GUJUJGC是7位数),其中每个字母表示0-9之间的一个数字,不同字母代表不同数字。请计算出使等式成立的数字等式。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。" }, "metadata": { "digit_map": { "A": null, "B": null, "C": 5, "D": null, "E": null, "F": null, "G": 1, "H": null, "I": null, "J": 8, "K": 9, "L": null, "M": null, "N": null, "O": null, "P": null, "Q": null, "R": null, "S": null, "T": null, "U": 0, "V": null, "W": null, "X": null, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "KKCUKU", "JJG", "GGU", "GGGJC", "GUJUJGC" ], "num_letter": 5, "numbers": [ 995090, 881, 110, 11185, 1080815 ], "operator_level": 3, "operator_num": 3, "operators": [ "+", "*", "-" ], "seed": 80672866, "trace_id": "d5a9c960-6d16-4e99-ae87-a0f8aaafd701" }, "seed": 80672866, "task_id": 380672866, "task_type": "cryptarithm" }
logic-v2
已知:ATEEAS - DESA = AEDEEA,每个字母代表一个数字(ATEEAS 是 6 位数、DESA 是 4 位数、AEDEEA 是 6 位数),字母与字母之间代表的数字不重复。若要让等式成立,求得题中的数字等式。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。
{ "game_data": { "answer": "910098 - 5089 = 905009", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": 9, "B": null, "C": null, "D": 5, "E": 0, "F": null, "G": null, "H": null, "I": null, "J": null, "K": null, "L": null, "M": null, "N": null, "O": null, "P": null, "Q": null, "R": null, "S": 8, "T": 1, "U": null, "V": null, "W": null, "X": null, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "ATEEAS", "DESA", "AEDEEA" ], "num_letter": 5, "numbers": [ 910098, 5089, 905009 ], "operator_level": 1, "operator_num": 1, "operators": [ "-" ], "seed": 153035, "trace_id": "49f92e74-5c73-44b0-a8f5-6b274efe2d90" }, "question": "已知:ATEEAS - DESA = AEDEEA,每个字母代表一个数字(ATEEAS 是 6 位数、DESA 是 4 位数、AEDEEA 是 6 位数),字母与字母之间代表的数字不重复。若要让等式成立,求得题中的数字等式。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。" }, "metadata": { "digit_map": { "A": 9, "B": null, "C": null, "D": 5, "E": 0, "F": null, "G": null, "H": null, "I": null, "J": null, "K": null, "L": null, "M": null, "N": null, "O": null, "P": null, "Q": null, "R": null, "S": 8, "T": 1, "U": null, "V": null, "W": null, "X": null, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "ATEEAS", "DESA", "AEDEEA" ], "num_letter": 5, "numbers": [ 910098, 5089, 905009 ], "operator_level": 1, "operator_num": 1, "operators": [ "-" ], "seed": 153035, "trace_id": "49f92e74-5c73-44b0-a8f5-6b274efe2d90" }, "seed": 153035, "task_id": 300153035, "task_type": "cryptarithm" }
logic-v2
解决密码算术谜题:JHJJ + KKJUH + JUH = UHUHJ(其中JHJJ是4位数、KKJUH是5位数、JUH是3位数、UHUHJ是5位数),其中每个字母表示0-9之间的一个数字,不同字母代表不同数字。请计算出使等式成立的数字等式。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。
{ "game_data": { "answer": "6566 + 88695 + 695 = 95956", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": null, "E": null, "F": null, "G": null, "H": 5, "I": null, "J": 6, "K": 8, "L": null, "M": null, "N": null, "O": null, "P": null, "Q": null, "R": null, "S": null, "T": null, "U": 9, "V": null, "W": null, "X": null, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "JHJJ", "KKJUH", "JUH", "UHUHJ" ], "num_letter": 4, "numbers": [ 6566, 88695, 695, 95956 ], "operator_level": 1, "operator_num": 2, "operators": [ "+", "+" ], "seed": 25242725, "trace_id": "56df2158-ebd3-417e-b9e1-74a1eea30da6" }, "question": "解决密码算术谜题:JHJJ + KKJUH + JUH = UHUHJ(其中JHJJ是4位数、KKJUH是5位数、JUH是3位数、UHUHJ是5位数),其中每个字母表示0-9之间的一个数字,不同字母代表不同数字。请计算出使等式成立的数字等式。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。" }, "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": null, "E": null, "F": null, "G": null, "H": 5, "I": null, "J": 6, "K": 8, "L": null, "M": null, "N": null, "O": null, "P": null, "Q": null, "R": null, "S": null, "T": null, "U": 9, "V": null, "W": null, "X": null, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "JHJJ", "KKJUH", "JUH", "UHUHJ" ], "num_letter": 4, "numbers": [ 6566, 88695, 695, 95956 ], "operator_level": 1, "operator_num": 2, "operators": [ "+", "+" ], "seed": 25242725, "trace_id": "56df2158-ebd3-417e-b9e1-74a1eea30da6" }, "seed": 25242725, "task_id": 325242725, "task_type": "cryptarithm" }
logic-v2
In this alphametic puzzle: PX + PTP * TAA = APXAT, each letter represents a distinct digit from 0-9. Determine the digits that make the equation valid. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits.
{ "game_data": { "answer": "25 + 232 * 399 = 92593", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": 9, "B": null, "C": null, "D": null, "E": null, "F": null, "G": null, "H": null, "I": null, "J": null, "K": null, "L": null, "M": null, "N": null, "O": null, "P": 2, "Q": null, "R": null, "S": null, "T": 3, "U": null, "V": null, "W": null, "X": 5, "Y": null, "Z": null }, "language": "english", "letter_words": [ "PX", "PTP", "TAA", "APXAT" ], "num_letter": 4, "numbers": [ 25, 232, 399, 92593 ], "operator_level": 3, "operator_num": 2, "operators": [ "+", "*" ], "seed": 14376354, "trace_id": "e8cfc3e5-b66b-44df-978a-af07171f0491" }, "question": "In this alphametic puzzle: PX + PTP * TAA = APXAT, each letter represents a distinct digit from 0-9. Determine the digits that make the equation valid. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits." }, "metadata": { "digit_map": { "A": 9, "B": null, "C": null, "D": null, "E": null, "F": null, "G": null, "H": null, "I": null, "J": null, "K": null, "L": null, "M": null, "N": null, "O": null, "P": 2, "Q": null, "R": null, "S": null, "T": 3, "U": null, "V": null, "W": null, "X": 5, "Y": null, "Z": null }, "language": "english", "letter_words": [ "PX", "PTP", "TAA", "APXAT" ], "num_letter": 4, "numbers": [ 25, 232, 399, 92593 ], "operator_level": 3, "operator_num": 2, "operators": [ "+", "*" ], "seed": 14376354, "trace_id": "e8cfc3e5-b66b-44df-978a-af07171f0491" }, "seed": 14376354, "task_id": 314376354, "task_type": "cryptarithm" }
logic-v2
In this alphametic puzzle: VUVBG + UBVUG + YVU = BUGVU, each letter represents a distinct digit from 0-9. Determine the digits that make the equation valid. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits.
{ "game_data": { "answer": "52580 + 28520 + 952 = 82052", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": 8, "C": null, "D": null, "E": null, "F": null, "G": 0, "H": null, "I": null, "J": null, "K": null, "L": null, "M": null, "N": null, "O": null, "P": null, "Q": null, "R": null, "S": null, "T": null, "U": 2, "V": 5, "W": null, "X": null, "Y": 9, "Z": null }, "language": "english", "letter_words": [ "VUVBG", "UBVUG", "YVU", "BUGVU" ], "num_letter": 5, "numbers": [ 52580, 28520, 952, 82052 ], "operator_level": 1, "operator_num": 2, "operators": [ "+", "+" ], "seed": 4033946, "trace_id": "992a377f-6b94-4249-b30b-045f74ddacb6" }, "question": "In this alphametic puzzle: VUVBG + UBVUG + YVU = BUGVU, each letter represents a distinct digit from 0-9. Determine the digits that make the equation valid. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits." }, "metadata": { "digit_map": { "A": null, "B": 8, "C": null, "D": null, "E": null, "F": null, "G": 0, "H": null, "I": null, "J": null, "K": null, "L": null, "M": null, "N": null, "O": null, "P": null, "Q": null, "R": null, "S": null, "T": null, "U": 2, "V": 5, "W": null, "X": null, "Y": 9, "Z": null }, "language": "english", "letter_words": [ "VUVBG", "UBVUG", "YVU", "BUGVU" ], "num_letter": 5, "numbers": [ 52580, 28520, 952, 82052 ], "operator_level": 1, "operator_num": 2, "operators": [ "+", "+" ], "seed": 4033946, "trace_id": "992a377f-6b94-4249-b30b-045f74ddacb6" }, "seed": 4033946, "task_id": 304033946, "task_type": "cryptarithm" }
logic-v2
In this alphametic puzzle: USDUSD + USD - USSG - GDDU = USGDDU, each letter represents a distinct digit from 0-9. Determine the digits that make the equation valid. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits.
{ "game_data": { "answer": "379379 + 379 - 3772 - 2993 = 372993", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": 9, "E": null, "F": null, "G": 2, "H": null, "I": null, "J": null, "K": null, "L": null, "M": null, "N": null, "O": null, "P": null, "Q": null, "R": null, "S": 7, "T": null, "U": 3, "V": null, "W": null, "X": null, "Y": null, "Z": null }, "language": "english", "letter_words": [ "USDUSD", "USD", "USSG", "GDDU", "USGDDU" ], "num_letter": 4, "numbers": [ 379379, 379, 3772, 2993, 372993 ], "operator_level": 2, "operator_num": 3, "operators": [ "+", "-", "-" ], "seed": 56001161, "trace_id": "4506e933-b5a5-4c70-8cf8-4f2d113d91a7" }, "question": "In this alphametic puzzle: USDUSD + USD - USSG - GDDU = USGDDU, each letter represents a distinct digit from 0-9. Determine the digits that make the equation valid. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits." }, "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": 9, "E": null, "F": null, "G": 2, "H": null, "I": null, "J": null, "K": null, "L": null, "M": null, "N": null, "O": null, "P": null, "Q": null, "R": null, "S": 7, "T": null, "U": 3, "V": null, "W": null, "X": null, "Y": null, "Z": null }, "language": "english", "letter_words": [ "USDUSD", "USD", "USSG", "GDDU", "USGDDU" ], "num_letter": 4, "numbers": [ 379379, 379, 3772, 2993, 372993 ], "operator_level": 2, "operator_num": 3, "operators": [ "+", "-", "-" ], "seed": 56001161, "trace_id": "4506e933-b5a5-4c70-8cf8-4f2d113d91a7" }, "seed": 56001161, "task_id": 356001161, "task_type": "cryptarithm" }
logic-v2
已知字母等式:MWMOM + OMOW + MCO + CCW = MCOCO(其中MWMOM是5位数、OMOW是4位数、MCO是3位数、CCW是3位数、MCOCO是5位数),每个字母代表一个数字,不同字母代表不同数字。请找出让等式成立的数字替换方案。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。
{ "game_data": { "answer": "81858 + 5851 + 895 + 991 = 89595", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": null, "C": 9, "D": null, "E": null, "F": null, "G": null, "H": null, "I": null, "J": null, "K": null, "L": null, "M": 8, "N": null, "O": 5, "P": null, "Q": null, "R": null, "S": null, "T": null, "U": null, "V": null, "W": 1, "X": null, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "MWMOM", "OMOW", "MCO", "CCW", "MCOCO" ], "num_letter": 4, "numbers": [ 81858, 5851, 895, 991, 89595 ], "operator_level": 1, "operator_num": 3, "operators": [ "+", "+", "+" ], "seed": 85192222, "trace_id": "d9299c5e-2036-4ad1-b9a1-7c820a658249" }, "question": "已知字母等式:MWMOM + OMOW + MCO + CCW = MCOCO(其中MWMOM是5位数、OMOW是4位数、MCO是3位数、CCW是3位数、MCOCO是5位数),每个字母代表一个数字,不同字母代表不同数字。请找出让等式成立的数字替换方案。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。" }, "metadata": { "digit_map": { "A": null, "B": null, "C": 9, "D": null, "E": null, "F": null, "G": null, "H": null, "I": null, "J": null, "K": null, "L": null, "M": 8, "N": null, "O": 5, "P": null, "Q": null, "R": null, "S": null, "T": null, "U": null, "V": null, "W": 1, "X": null, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "MWMOM", "OMOW", "MCO", "CCW", "MCOCO" ], "num_letter": 4, "numbers": [ 81858, 5851, 895, 991, 89595 ], "operator_level": 1, "operator_num": 3, "operators": [ "+", "+", "+" ], "seed": 85192222, "trace_id": "d9299c5e-2036-4ad1-b9a1-7c820a658249" }, "seed": 85192222, "task_id": 385192222, "task_type": "cryptarithm" }
logic-v2
已知字母等式:IOOH * GPHG + APHOP - OGHPG = HGPGOAIH(其中IOOH是4位数、GPHG是4位数、APHOP是5位数、OGHPG是5位数、HGPGOAIH是8位数),每个字母代表一个数字,不同字母代表不同数字。请找出让等式成立的数字替换方案。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。
{ "game_data": { "answer": "6995 * 8358 + 23593 - 98538 = 58389265", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": 2, "B": null, "C": null, "D": null, "E": null, "F": null, "G": 8, "H": 5, "I": 6, "J": null, "K": null, "L": null, "M": null, "N": null, "O": 9, "P": 3, "Q": null, "R": null, "S": null, "T": null, "U": null, "V": null, "W": null, "X": null, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "IOOH", "GPHG", "APHOP", "OGHPG", "HGPGOAIH" ], "num_letter": 6, "numbers": [ 6995, 8358, 23593, 98538, 58389265 ], "operator_level": 3, "operator_num": 3, "operators": [ "*", "+", "-" ], "seed": 7207963, "trace_id": "cc57c3e2-0216-4639-9430-b328aef1b2ef" }, "question": "已知字母等式:IOOH * GPHG + APHOP - OGHPG = HGPGOAIH(其中IOOH是4位数、GPHG是4位数、APHOP是5位数、OGHPG是5位数、HGPGOAIH是8位数),每个字母代表一个数字,不同字母代表不同数字。请找出让等式成立的数字替换方案。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。" }, "metadata": { "digit_map": { "A": 2, "B": null, "C": null, "D": null, "E": null, "F": null, "G": 8, "H": 5, "I": 6, "J": null, "K": null, "L": null, "M": null, "N": null, "O": 9, "P": 3, "Q": null, "R": null, "S": null, "T": null, "U": null, "V": null, "W": null, "X": null, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "IOOH", "GPHG", "APHOP", "OGHPG", "HGPGOAIH" ], "num_letter": 6, "numbers": [ 6995, 8358, 23593, 98538, 58389265 ], "operator_level": 3, "operator_num": 3, "operators": [ "*", "+", "-" ], "seed": 7207963, "trace_id": "cc57c3e2-0216-4639-9430-b328aef1b2ef" }, "seed": 7207963, "task_id": 307207963, "task_type": "cryptarithm" }
logic-v2
In the cryptarithm: LBFLZ + PLFLO = BBOLZF, each letter stands for a different digit (LBFLZ is 5 digits, PLFLO is 5 digits, and BBOLZF is 6 digits). Determine what each letter represents to make the equation true. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits.
{ "game_data": { "answer": "71375 + 47378 = 118753", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": 1, "C": null, "D": null, "E": null, "F": 3, "G": null, "H": null, "I": null, "J": null, "K": null, "L": 7, "M": null, "N": null, "O": 8, "P": 4, "Q": null, "R": null, "S": null, "T": null, "U": null, "V": null, "W": null, "X": null, "Y": null, "Z": 5 }, "language": "english", "letter_words": [ "LBFLZ", "PLFLO", "BBOLZF" ], "num_letter": 6, "numbers": [ 71375, 47378, 118753 ], "operator_level": 1, "operator_num": 1, "operators": [ "+" ], "seed": 63178302, "trace_id": "e36a9d1c-d3ce-4cf6-85f6-57d853a96516" }, "question": "In the cryptarithm: LBFLZ + PLFLO = BBOLZF, each letter stands for a different digit (LBFLZ is 5 digits, PLFLO is 5 digits, and BBOLZF is 6 digits). Determine what each letter represents to make the equation true. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits." }, "metadata": { "digit_map": { "A": null, "B": 1, "C": null, "D": null, "E": null, "F": 3, "G": null, "H": null, "I": null, "J": null, "K": null, "L": 7, "M": null, "N": null, "O": 8, "P": 4, "Q": null, "R": null, "S": null, "T": null, "U": null, "V": null, "W": null, "X": null, "Y": null, "Z": 5 }, "language": "english", "letter_words": [ "LBFLZ", "PLFLO", "BBOLZF" ], "num_letter": 6, "numbers": [ 71375, 47378, 118753 ], "operator_level": 1, "operator_num": 1, "operators": [ "+" ], "seed": 63178302, "trace_id": "e36a9d1c-d3ce-4cf6-85f6-57d853a96516" }, "seed": 63178302, "task_id": 363178302, "task_type": "cryptarithm" }
logic-v2
In the cryptarithm: BIUK * BUE = EEIEEKI, each letter stands for a different digit (BIUK is 4 digits, BUE is 3 digits, and EEIEEKI is 7 digits). Determine what each letter represents to make the equation true. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits.
{ "game_data": { "answer": "6857 * 654 = 4484478", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": 6, "C": null, "D": null, "E": 4, "F": null, "G": null, "H": null, "I": 8, "J": null, "K": 7, "L": null, "M": null, "N": null, "O": null, "P": null, "Q": null, "R": null, "S": null, "T": null, "U": 5, "V": null, "W": null, "X": null, "Y": null, "Z": null }, "language": "english", "letter_words": [ "BIUK", "BUE", "EEIEEKI" ], "num_letter": 5, "numbers": [ 6857, 654, 4484478 ], "operator_level": 3, "operator_num": 1, "operators": [ "*" ], "seed": 65493021, "trace_id": "7ba7733c-7e50-4b75-9fd5-24ae0b38b2b1" }, "question": "In the cryptarithm: BIUK * BUE = EEIEEKI, each letter stands for a different digit (BIUK is 4 digits, BUE is 3 digits, and EEIEEKI is 7 digits). Determine what each letter represents to make the equation true. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits." }, "metadata": { "digit_map": { "A": null, "B": 6, "C": null, "D": null, "E": 4, "F": null, "G": null, "H": null, "I": 8, "J": null, "K": 7, "L": null, "M": null, "N": null, "O": null, "P": null, "Q": null, "R": null, "S": null, "T": null, "U": 5, "V": null, "W": null, "X": null, "Y": null, "Z": null }, "language": "english", "letter_words": [ "BIUK", "BUE", "EEIEEKI" ], "num_letter": 5, "numbers": [ 6857, 654, 4484478 ], "operator_level": 3, "operator_num": 1, "operators": [ "*" ], "seed": 65493021, "trace_id": "7ba7733c-7e50-4b75-9fd5-24ae0b38b2b1" }, "seed": 65493021, "task_id": 365493021, "task_type": "cryptarithm" }
logic-v2
In this alphametic puzzle: M - WMUWMT + VMWWWM - WWUW = MTWUUM, each letter represents a distinct digit from 0-9. Determine the digits that make the equation valid. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits.
{ "game_data": { "answer": "3 - 435439 + 834443 - 4454 = 394553", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": null, "E": null, "F": null, "G": null, "H": null, "I": null, "J": null, "K": null, "L": null, "M": 3, "N": null, "O": null, "P": null, "Q": null, "R": null, "S": null, "T": 9, "U": 5, "V": 8, "W": 4, "X": null, "Y": null, "Z": null }, "language": "english", "letter_words": [ "M", "WMUWMT", "VMWWWM", "WWUW", "MTWUUM" ], "num_letter": 5, "numbers": [ 3, 435439, 834443, 4454, 394553 ], "operator_level": 1, "operator_num": 3, "operators": [ "-", "+", "-" ], "seed": 26094632, "trace_id": "99c674d1-1bcd-4ac3-923a-68ca89193b32" }, "question": "In this alphametic puzzle: M - WMUWMT + VMWWWM - WWUW = MTWUUM, each letter represents a distinct digit from 0-9. Determine the digits that make the equation valid. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits." }, "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": null, "E": null, "F": null, "G": null, "H": null, "I": null, "J": null, "K": null, "L": null, "M": 3, "N": null, "O": null, "P": null, "Q": null, "R": null, "S": null, "T": 9, "U": 5, "V": 8, "W": 4, "X": null, "Y": null, "Z": null }, "language": "english", "letter_words": [ "M", "WMUWMT", "VMWWWM", "WWUW", "MTWUUM" ], "num_letter": 5, "numbers": [ 3, 435439, 834443, 4454, 394553 ], "operator_level": 1, "operator_num": 3, "operators": [ "-", "+", "-" ], "seed": 26094632, "trace_id": "99c674d1-1bcd-4ac3-923a-68ca89193b32" }, "seed": 26094632, "task_id": 326094632, "task_type": "cryptarithm" }
logic-v2
已知字母等式:ONMBNN * ONB - J = BBBOOBNOM(其中ONMBNN是6位数、ONB是3位数、J是1位数、BBBOOBNOM是9位数),每个字母代表一个数字,不同字母代表不同数字。请找出让等式成立的数字替换方案。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。
{ "game_data": { "answer": "471277 * 472 - 3 = 222442741", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": 2, "C": null, "D": null, "E": null, "F": null, "G": null, "H": null, "I": null, "J": 3, "K": null, "L": null, "M": 1, "N": 7, "O": 4, "P": null, "Q": null, "R": null, "S": null, "T": null, "U": null, "V": null, "W": null, "X": null, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "ONMBNN", "ONB", "J", "BBBOOBNOM" ], "num_letter": 5, "numbers": [ 471277, 472, 3, 222442741 ], "operator_level": 3, "operator_num": 2, "operators": [ "*", "-" ], "seed": 43421083, "trace_id": "05192c6a-4b7a-4c84-8241-397f449f9e35" }, "question": "已知字母等式:ONMBNN * ONB - J = BBBOOBNOM(其中ONMBNN是6位数、ONB是3位数、J是1位数、BBBOOBNOM是9位数),每个字母代表一个数字,不同字母代表不同数字。请找出让等式成立的数字替换方案。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。" }, "metadata": { "digit_map": { "A": null, "B": 2, "C": null, "D": null, "E": null, "F": null, "G": null, "H": null, "I": null, "J": 3, "K": null, "L": null, "M": 1, "N": 7, "O": 4, "P": null, "Q": null, "R": null, "S": null, "T": null, "U": null, "V": null, "W": null, "X": null, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "ONMBNN", "ONB", "J", "BBBOOBNOM" ], "num_letter": 5, "numbers": [ 471277, 472, 3, 222442741 ], "operator_level": 3, "operator_num": 2, "operators": [ "*", "-" ], "seed": 43421083, "trace_id": "05192c6a-4b7a-4c84-8241-397f449f9e35" }, "seed": 43421083, "task_id": 343421083, "task_type": "cryptarithm" }
logic-v2
In this alphametic puzzle: EUO + OEJUU + EJ = OUUDU, each letter represents a distinct digit from 0-9. Determine the digits that make the equation valid. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits.
{ "game_data": { "answer": "781 + 17988 + 79 = 18848", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": 4, "E": 7, "F": null, "G": null, "H": null, "I": null, "J": 9, "K": null, "L": null, "M": null, "N": null, "O": 1, "P": null, "Q": null, "R": null, "S": null, "T": null, "U": 8, "V": null, "W": null, "X": null, "Y": null, "Z": null }, "language": "english", "letter_words": [ "EUO", "OEJUU", "EJ", "OUUDU" ], "num_letter": 5, "numbers": [ 781, 17988, 79, 18848 ], "operator_level": 2, "operator_num": 2, "operators": [ "+", "+" ], "seed": 29836553, "trace_id": "7bc984eb-f75a-4677-95ab-dc0fbedd3fc1" }, "question": "In this alphametic puzzle: EUO + OEJUU + EJ = OUUDU, each letter represents a distinct digit from 0-9. Determine the digits that make the equation valid. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits." }, "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": 4, "E": 7, "F": null, "G": null, "H": null, "I": null, "J": 9, "K": null, "L": null, "M": null, "N": null, "O": 1, "P": null, "Q": null, "R": null, "S": null, "T": null, "U": 8, "V": null, "W": null, "X": null, "Y": null, "Z": null }, "language": "english", "letter_words": [ "EUO", "OEJUU", "EJ", "OUUDU" ], "num_letter": 5, "numbers": [ 781, 17988, 79, 18848 ], "operator_level": 2, "operator_num": 2, "operators": [ "+", "+" ], "seed": 29836553, "trace_id": "7bc984eb-f75a-4677-95ab-dc0fbedd3fc1" }, "seed": 29836553, "task_id": 329836553, "task_type": "cryptarithm" }
logic-v2
Solve this cryptarithm: REE + L * LRLLE = MQRRRM, where each letter represents a unique digit. Find the digit substitution that makes the equation true. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits.
{ "game_data": { "answer": "933 + 8 * 89883 = 719997", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": null, "E": 3, "F": null, "G": null, "H": null, "I": null, "J": null, "K": null, "L": 8, "M": 7, "N": null, "O": null, "P": null, "Q": 1, "R": 9, "S": null, "T": null, "U": null, "V": null, "W": null, "X": null, "Y": null, "Z": null }, "language": "english", "letter_words": [ "REE", "L", "LRLLE", "MQRRRM" ], "num_letter": 5, "numbers": [ 933, 8, 89883, 719997 ], "operator_level": 3, "operator_num": 2, "operators": [ "+", "*" ], "seed": 88469869, "trace_id": "7e6d1ec2-a9a5-46e0-b6c2-c7fa4dd453b4" }, "question": "Solve this cryptarithm: REE + L * LRLLE = MQRRRM, where each letter represents a unique digit. Find the digit substitution that makes the equation true. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits." }, "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": null, "E": 3, "F": null, "G": null, "H": null, "I": null, "J": null, "K": null, "L": 8, "M": 7, "N": null, "O": null, "P": null, "Q": 1, "R": 9, "S": null, "T": null, "U": null, "V": null, "W": null, "X": null, "Y": null, "Z": null }, "language": "english", "letter_words": [ "REE", "L", "LRLLE", "MQRRRM" ], "num_letter": 5, "numbers": [ 933, 8, 89883, 719997 ], "operator_level": 3, "operator_num": 2, "operators": [ "+", "*" ], "seed": 88469869, "trace_id": "7e6d1ec2-a9a5-46e0-b6c2-c7fa4dd453b4" }, "seed": 88469869, "task_id": 388469869, "task_type": "cryptarithm" }
logic-v2
Given: LMMM + FLOF = OFLU, where each letter represents a unique digit (LMMM is a 4-digit number, FLOF is a 4-digit number, and OFLU is a 4-digit number). Find the numeric equation that makes the equality valid. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits.
{ "game_data": { "answer": "2888 + 1241 = 4129", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": null, "E": null, "F": 1, "G": null, "H": null, "I": null, "J": null, "K": null, "L": 2, "M": 8, "N": null, "O": 4, "P": null, "Q": null, "R": null, "S": null, "T": null, "U": 9, "V": null, "W": null, "X": null, "Y": null, "Z": null }, "language": "english", "letter_words": [ "LMMM", "FLOF", "OFLU" ], "num_letter": 5, "numbers": [ 2888, 1241, 4129 ], "operator_level": 2, "operator_num": 1, "operators": [ "+" ], "seed": 80430563, "trace_id": "2b68377f-1fb9-452b-a3df-659af60973a9" }, "question": "Given: LMMM + FLOF = OFLU, where each letter represents a unique digit (LMMM is a 4-digit number, FLOF is a 4-digit number, and OFLU is a 4-digit number). Find the numeric equation that makes the equality valid. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits." }, "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": null, "E": null, "F": 1, "G": null, "H": null, "I": null, "J": null, "K": null, "L": 2, "M": 8, "N": null, "O": 4, "P": null, "Q": null, "R": null, "S": null, "T": null, "U": 9, "V": null, "W": null, "X": null, "Y": null, "Z": null }, "language": "english", "letter_words": [ "LMMM", "FLOF", "OFLU" ], "num_letter": 5, "numbers": [ 2888, 1241, 4129 ], "operator_level": 2, "operator_num": 1, "operators": [ "+" ], "seed": 80430563, "trace_id": "2b68377f-1fb9-452b-a3df-659af60973a9" }, "seed": 80430563, "task_id": 380430563, "task_type": "cryptarithm" }
logic-v2
已知:VPRGR + VQGPQV = GRQVRG,每个字母代表一个数字(VPRGR 是 5 位数、VQGPQV 是 6 位数、GRQVRG 是 6 位数),字母与字母之间代表的数字不重复。若要让等式成立,求得题中的数字等式。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。
{ "game_data": { "answer": "75181 + 738537 = 813718", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": null, "E": null, "F": null, "G": 8, "H": null, "I": null, "J": null, "K": null, "L": null, "M": null, "N": null, "O": null, "P": 5, "Q": 3, "R": 1, "S": null, "T": null, "U": null, "V": 7, "W": null, "X": null, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "VPRGR", "VQGPQV", "GRQVRG" ], "num_letter": 5, "numbers": [ 75181, 738537, 813718 ], "operator_level": 2, "operator_num": 1, "operators": [ "+" ], "seed": 37014641, "trace_id": "19da1bba-72bf-4cd9-8d61-79a43d169db0" }, "question": "已知:VPRGR + VQGPQV = GRQVRG,每个字母代表一个数字(VPRGR 是 5 位数、VQGPQV 是 6 位数、GRQVRG 是 6 位数),字母与字母之间代表的数字不重复。若要让等式成立,求得题中的数字等式。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。" }, "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": null, "E": null, "F": null, "G": 8, "H": null, "I": null, "J": null, "K": null, "L": null, "M": null, "N": null, "O": null, "P": 5, "Q": 3, "R": 1, "S": null, "T": null, "U": null, "V": 7, "W": null, "X": null, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "VPRGR", "VQGPQV", "GRQVRG" ], "num_letter": 5, "numbers": [ 75181, 738537, 813718 ], "operator_level": 2, "operator_num": 1, "operators": [ "+" ], "seed": 37014641, "trace_id": "19da1bba-72bf-4cd9-8d61-79a43d169db0" }, "seed": 37014641, "task_id": 337014641, "task_type": "cryptarithm" }
logic-v2
已知:QQOLLD - LLODD = QBQLBO,每个字母代表一个数字(QQOLLD 是 6 位数、LLODD 是 5 位数、QBQLBO 是 6 位数),字母与字母之间代表的数字不重复。若要让等式成立,求得题中的数字等式。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。
{ "game_data": { "answer": "660443 - 44033 = 616410", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": 1, "C": null, "D": 3, "E": null, "F": null, "G": null, "H": null, "I": null, "J": null, "K": null, "L": 4, "M": null, "N": null, "O": 0, "P": null, "Q": 6, "R": null, "S": null, "T": null, "U": null, "V": null, "W": null, "X": null, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "QQOLLD", "LLODD", "QBQLBO" ], "num_letter": 5, "numbers": [ 660443, 44033, 616410 ], "operator_level": 1, "operator_num": 1, "operators": [ "-" ], "seed": 50954458, "trace_id": "35b15ed4-33c9-4c04-bf53-f88070b07af7" }, "question": "已知:QQOLLD - LLODD = QBQLBO,每个字母代表一个数字(QQOLLD 是 6 位数、LLODD 是 5 位数、QBQLBO 是 6 位数),字母与字母之间代表的数字不重复。若要让等式成立,求得题中的数字等式。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。" }, "metadata": { "digit_map": { "A": null, "B": 1, "C": null, "D": 3, "E": null, "F": null, "G": null, "H": null, "I": null, "J": null, "K": null, "L": 4, "M": null, "N": null, "O": 0, "P": null, "Q": 6, "R": null, "S": null, "T": null, "U": null, "V": null, "W": null, "X": null, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "QQOLLD", "LLODD", "QBQLBO" ], "num_letter": 5, "numbers": [ 660443, 44033, 616410 ], "operator_level": 1, "operator_num": 1, "operators": [ "-" ], "seed": 50954458, "trace_id": "35b15ed4-33c9-4c04-bf53-f88070b07af7" }, "seed": 50954458, "task_id": 350954458, "task_type": "cryptarithm" }
logic-v2
已知字母等式:NJMN * SFFJ - SNSJ = FOSJSMJJ(其中NJMN是4位数、SFFJ是4位数、SNSJ是4位数、FOSJSMJJ是8位数),每个字母代表一个数字,不同字母代表不同数字。请找出让等式成立的数字替换方案。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。
{ "game_data": { "answer": "2892 * 6118 - 6268 = 17686988", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": null, "E": null, "F": 1, "G": null, "H": null, "I": null, "J": 8, "K": null, "L": null, "M": 9, "N": 2, "O": 7, "P": null, "Q": null, "R": null, "S": 6, "T": null, "U": null, "V": null, "W": null, "X": null, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "NJMN", "SFFJ", "SNSJ", "FOSJSMJJ" ], "num_letter": 6, "numbers": [ 2892, 6118, 6268, 17686988 ], "operator_level": 3, "operator_num": 2, "operators": [ "*", "-" ], "seed": 44087519, "trace_id": "a420c1ff-abc2-48c5-a054-fa92447f1a95" }, "question": "已知字母等式:NJMN * SFFJ - SNSJ = FOSJSMJJ(其中NJMN是4位数、SFFJ是4位数、SNSJ是4位数、FOSJSMJJ是8位数),每个字母代表一个数字,不同字母代表不同数字。请找出让等式成立的数字替换方案。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。" }, "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": null, "E": null, "F": 1, "G": null, "H": null, "I": null, "J": 8, "K": null, "L": null, "M": 9, "N": 2, "O": 7, "P": null, "Q": null, "R": null, "S": 6, "T": null, "U": null, "V": null, "W": null, "X": null, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "NJMN", "SFFJ", "SNSJ", "FOSJSMJJ" ], "num_letter": 6, "numbers": [ 2892, 6118, 6268, 17686988 ], "operator_level": 3, "operator_num": 2, "operators": [ "*", "-" ], "seed": 44087519, "trace_id": "a420c1ff-abc2-48c5-a054-fa92447f1a95" }, "seed": 44087519, "task_id": 344087519, "task_type": "cryptarithm" }
logic-v2
解决密码算术谜题:SMASA - KAS - TST = SSMSS(其中SMASA是5位数、KAS是3位数、TST是3位数、SSMSS是5位数),其中每个字母表示0-9之间的一个数字,不同字母代表不同数字。请计算出使等式成立的数字等式。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。
{ "game_data": { "answer": "67363 - 436 - 161 = 66766", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": 3, "B": null, "C": null, "D": null, "E": null, "F": null, "G": null, "H": null, "I": null, "J": null, "K": 4, "L": null, "M": 7, "N": null, "O": null, "P": null, "Q": null, "R": null, "S": 6, "T": 1, "U": null, "V": null, "W": null, "X": null, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "SMASA", "KAS", "TST", "SSMSS" ], "num_letter": 5, "numbers": [ 67363, 436, 161, 66766 ], "operator_level": 2, "operator_num": 2, "operators": [ "-", "-" ], "seed": 39023843, "trace_id": "555812bf-7733-41a4-acd2-16576bf81ed0" }, "question": "解决密码算术谜题:SMASA - KAS - TST = SSMSS(其中SMASA是5位数、KAS是3位数、TST是3位数、SSMSS是5位数),其中每个字母表示0-9之间的一个数字,不同字母代表不同数字。请计算出使等式成立的数字等式。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。" }, "metadata": { "digit_map": { "A": 3, "B": null, "C": null, "D": null, "E": null, "F": null, "G": null, "H": null, "I": null, "J": null, "K": 4, "L": null, "M": 7, "N": null, "O": null, "P": null, "Q": null, "R": null, "S": 6, "T": 1, "U": null, "V": null, "W": null, "X": null, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "SMASA", "KAS", "TST", "SSMSS" ], "num_letter": 5, "numbers": [ 67363, 436, 161, 66766 ], "operator_level": 2, "operator_num": 2, "operators": [ "-", "-" ], "seed": 39023843, "trace_id": "555812bf-7733-41a4-acd2-16576bf81ed0" }, "seed": 39023843, "task_id": 339023843, "task_type": "cryptarithm" }
logic-v2
In this alphametic puzzle: ANB + NNB + HHNZZ = HZZAB, each letter represents a distinct digit from 0-9. Determine the digits that make the equation valid. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits.
{ "game_data": { "answer": "976 + 776 + 22744 = 24496", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": 9, "B": 6, "C": null, "D": null, "E": null, "F": null, "G": null, "H": 2, "I": null, "J": null, "K": null, "L": null, "M": null, "N": 7, "O": null, "P": null, "Q": null, "R": null, "S": null, "T": null, "U": null, "V": null, "W": null, "X": null, "Y": null, "Z": 4 }, "language": "english", "letter_words": [ "ANB", "NNB", "HHNZZ", "HZZAB" ], "num_letter": 5, "numbers": [ 976, 776, 22744, 24496 ], "operator_level": 2, "operator_num": 2, "operators": [ "+", "+" ], "seed": 46930229, "trace_id": "758a5997-507b-4ad6-b67b-2f43407e08c3" }, "question": "In this alphametic puzzle: ANB + NNB + HHNZZ = HZZAB, each letter represents a distinct digit from 0-9. Determine the digits that make the equation valid. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits." }, "metadata": { "digit_map": { "A": 9, "B": 6, "C": null, "D": null, "E": null, "F": null, "G": null, "H": 2, "I": null, "J": null, "K": null, "L": null, "M": null, "N": 7, "O": null, "P": null, "Q": null, "R": null, "S": null, "T": null, "U": null, "V": null, "W": null, "X": null, "Y": null, "Z": 4 }, "language": "english", "letter_words": [ "ANB", "NNB", "HHNZZ", "HZZAB" ], "num_letter": 5, "numbers": [ 976, 776, 22744, 24496 ], "operator_level": 2, "operator_num": 2, "operators": [ "+", "+" ], "seed": 46930229, "trace_id": "758a5997-507b-4ad6-b67b-2f43407e08c3" }, "seed": 46930229, "task_id": 346930229, "task_type": "cryptarithm" }
logic-v2
Solve this cryptarithm: NNS + NQVSLV - QSVVQ - NQN = NSNLLL, where each letter represents a unique digit. Find the digit substitution that makes the equation true. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits.
{ "game_data": { "answer": "550 + 586036 - 80668 - 585 = 505333", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": null, "E": null, "F": null, "G": null, "H": null, "I": null, "J": null, "K": null, "L": 3, "M": null, "N": 5, "O": null, "P": null, "Q": 8, "R": null, "S": 0, "T": null, "U": null, "V": 6, "W": null, "X": null, "Y": null, "Z": null }, "language": "english", "letter_words": [ "NNS", "NQVSLV", "QSVVQ", "NQN", "NSNLLL" ], "num_letter": 5, "numbers": [ 550, 586036, 80668, 585, 505333 ], "operator_level": 2, "operator_num": 3, "operators": [ "+", "-", "-" ], "seed": 57082572, "trace_id": "3e860634-ef6e-4f08-ab46-fbe3b95a3351" }, "question": "Solve this cryptarithm: NNS + NQVSLV - QSVVQ - NQN = NSNLLL, where each letter represents a unique digit. Find the digit substitution that makes the equation true. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits." }, "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": null, "E": null, "F": null, "G": null, "H": null, "I": null, "J": null, "K": null, "L": 3, "M": null, "N": 5, "O": null, "P": null, "Q": 8, "R": null, "S": 0, "T": null, "U": null, "V": 6, "W": null, "X": null, "Y": null, "Z": null }, "language": "english", "letter_words": [ "NNS", "NQVSLV", "QSVVQ", "NQN", "NSNLLL" ], "num_letter": 5, "numbers": [ 550, 586036, 80668, 585, 505333 ], "operator_level": 2, "operator_num": 3, "operators": [ "+", "-", "-" ], "seed": 57082572, "trace_id": "3e860634-ef6e-4f08-ab46-fbe3b95a3351" }, "seed": 57082572, "task_id": 357082572, "task_type": "cryptarithm" }
logic-v2
Solve this cryptarithm: KDLDDJ - JDJQL - DDL = KQDLLK, where each letter represents a unique digit. Find the digit substitution that makes the equation true. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits.
{ "game_data": { "answer": "837332 - 23217 - 337 = 813778", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": 3, "E": null, "F": null, "G": null, "H": null, "I": null, "J": 2, "K": 8, "L": 7, "M": null, "N": null, "O": null, "P": null, "Q": 1, "R": null, "S": null, "T": null, "U": null, "V": null, "W": null, "X": null, "Y": null, "Z": null }, "language": "english", "letter_words": [ "KDLDDJ", "JDJQL", "DDL", "KQDLLK" ], "num_letter": 5, "numbers": [ 837332, 23217, 337, 813778 ], "operator_level": 1, "operator_num": 2, "operators": [ "-", "-" ], "seed": 96612944, "trace_id": "fb4de142-618d-4b96-8a01-e54e450f5d5b" }, "question": "Solve this cryptarithm: KDLDDJ - JDJQL - DDL = KQDLLK, where each letter represents a unique digit. Find the digit substitution that makes the equation true. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits." }, "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": 3, "E": null, "F": null, "G": null, "H": null, "I": null, "J": 2, "K": 8, "L": 7, "M": null, "N": null, "O": null, "P": null, "Q": 1, "R": null, "S": null, "T": null, "U": null, "V": null, "W": null, "X": null, "Y": null, "Z": null }, "language": "english", "letter_words": [ "KDLDDJ", "JDJQL", "DDL", "KQDLLK" ], "num_letter": 5, "numbers": [ 837332, 23217, 337, 813778 ], "operator_level": 1, "operator_num": 2, "operators": [ "-", "-" ], "seed": 96612944, "trace_id": "fb4de142-618d-4b96-8a01-e54e450f5d5b" }, "seed": 96612944, "task_id": 396612944, "task_type": "cryptarithm" }
logic-v2
解决密码算术谜题:GBGBBE - HGGB - EEHG = EGEHGG(其中GBGBBE是6位数、HGGB是4位数、EEHG是4位数、EGEHGG是6位数),其中每个字母表示0-9之间的一个数字,不同字母代表不同数字。请计算出使等式成立的数字等式。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。
{ "game_data": { "answer": "909008 - 1990 - 8819 = 898199", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": 0, "C": null, "D": null, "E": 8, "F": null, "G": 9, "H": 1, "I": null, "J": null, "K": null, "L": null, "M": null, "N": null, "O": null, "P": null, "Q": null, "R": null, "S": null, "T": null, "U": null, "V": null, "W": null, "X": null, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "GBGBBE", "HGGB", "EEHG", "EGEHGG" ], "num_letter": 4, "numbers": [ 909008, 1990, 8819, 898199 ], "operator_level": 3, "operator_num": 2, "operators": [ "-", "-" ], "seed": 86248623, "trace_id": "20ca9259-7701-4ebe-bbe1-891bed4e5200" }, "question": "解决密码算术谜题:GBGBBE - HGGB - EEHG = EGEHGG(其中GBGBBE是6位数、HGGB是4位数、EEHG是4位数、EGEHGG是6位数),其中每个字母表示0-9之间的一个数字,不同字母代表不同数字。请计算出使等式成立的数字等式。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。" }, "metadata": { "digit_map": { "A": null, "B": 0, "C": null, "D": null, "E": 8, "F": null, "G": 9, "H": 1, "I": null, "J": null, "K": null, "L": null, "M": null, "N": null, "O": null, "P": null, "Q": null, "R": null, "S": null, "T": null, "U": null, "V": null, "W": null, "X": null, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "GBGBBE", "HGGB", "EEHG", "EGEHGG" ], "num_letter": 4, "numbers": [ 909008, 1990, 8819, 898199 ], "operator_level": 3, "operator_num": 2, "operators": [ "-", "-" ], "seed": 86248623, "trace_id": "20ca9259-7701-4ebe-bbe1-891bed4e5200" }, "seed": 86248623, "task_id": 386248623, "task_type": "cryptarithm" }
logic-v2
In this alphametic puzzle: NNMNB * MJ - JJMNJB = NJBB, each letter represents a distinct digit from 0-9. Determine the digits that make the equation valid. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits.
{ "game_data": { "answer": "11610 * 67 - 776170 = 1700", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": 0, "C": null, "D": null, "E": null, "F": null, "G": null, "H": null, "I": null, "J": 7, "K": null, "L": null, "M": 6, "N": 1, "O": null, "P": null, "Q": null, "R": null, "S": null, "T": null, "U": null, "V": null, "W": null, "X": null, "Y": null, "Z": null }, "language": "english", "letter_words": [ "NNMNB", "MJ", "JJMNJB", "NJBB" ], "num_letter": 4, "numbers": [ 11610, 67, 776170, 1700 ], "operator_level": 3, "operator_num": 2, "operators": [ "*", "-" ], "seed": 11927948, "trace_id": "2dee44df-fd0a-495a-b8f6-9e67095b9964" }, "question": "In this alphametic puzzle: NNMNB * MJ - JJMNJB = NJBB, each letter represents a distinct digit from 0-9. Determine the digits that make the equation valid. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits." }, "metadata": { "digit_map": { "A": null, "B": 0, "C": null, "D": null, "E": null, "F": null, "G": null, "H": null, "I": null, "J": 7, "K": null, "L": null, "M": 6, "N": 1, "O": null, "P": null, "Q": null, "R": null, "S": null, "T": null, "U": null, "V": null, "W": null, "X": null, "Y": null, "Z": null }, "language": "english", "letter_words": [ "NNMNB", "MJ", "JJMNJB", "NJBB" ], "num_letter": 4, "numbers": [ 11610, 67, 776170, 1700 ], "operator_level": 3, "operator_num": 2, "operators": [ "*", "-" ], "seed": 11927948, "trace_id": "2dee44df-fd0a-495a-b8f6-9e67095b9964" }, "seed": 11927948, "task_id": 311927948, "task_type": "cryptarithm" }
logic-v2
已知:HSH + UZHZZS = UZHUUZ,每个字母代表一个数字(HSH 是 3 位数、UZHZZS 是 6 位数、UZHUUZ 是 6 位数),字母与字母之间代表的数字不重复。若要让等式成立,求得题中的数字等式。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。
{ "game_data": { "answer": "656 + 716115 = 716771", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": null, "E": null, "F": null, "G": null, "H": 6, "I": null, "J": null, "K": null, "L": null, "M": null, "N": null, "O": null, "P": null, "Q": null, "R": null, "S": 5, "T": null, "U": 7, "V": null, "W": null, "X": null, "Y": null, "Z": 1 }, "language": "chinese", "letter_words": [ "HSH", "UZHZZS", "UZHUUZ" ], "num_letter": 4, "numbers": [ 656, 716115, 716771 ], "operator_level": 3, "operator_num": 1, "operators": [ "+" ], "seed": 85366768, "trace_id": "4aedaa9a-f760-45fd-a69d-1a6b5fe12c43" }, "question": "已知:HSH + UZHZZS = UZHUUZ,每个字母代表一个数字(HSH 是 3 位数、UZHZZS 是 6 位数、UZHUUZ 是 6 位数),字母与字母之间代表的数字不重复。若要让等式成立,求得题中的数字等式。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。" }, "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": null, "E": null, "F": null, "G": null, "H": 6, "I": null, "J": null, "K": null, "L": null, "M": null, "N": null, "O": null, "P": null, "Q": null, "R": null, "S": 5, "T": null, "U": 7, "V": null, "W": null, "X": null, "Y": null, "Z": 1 }, "language": "chinese", "letter_words": [ "HSH", "UZHZZS", "UZHUUZ" ], "num_letter": 4, "numbers": [ 656, 716115, 716771 ], "operator_level": 3, "operator_num": 1, "operators": [ "+" ], "seed": 85366768, "trace_id": "4aedaa9a-f760-45fd-a69d-1a6b5fe12c43" }, "seed": 85366768, "task_id": 385366768, "task_type": "cryptarithm" }
logic-v2
给定一个字母等式:PGIPXG + IIIX = PPGXYX,每个字母表示一个数字,不同字母表示不同数字。其中PGIPXG是6位数,IIIX是4位数,PPGXYX是6位数。请计算出满足条件的数字等式。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。
{ "game_data": { "answer": "105170 + 5557 = 110727", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": null, "E": null, "F": null, "G": 0, "H": null, "I": 5, "J": null, "K": null, "L": null, "M": null, "N": null, "O": null, "P": 1, "Q": null, "R": null, "S": null, "T": null, "U": null, "V": null, "W": null, "X": 7, "Y": 2, "Z": null }, "language": "chinese", "letter_words": [ "PGIPXG", "IIIX", "PPGXYX" ], "num_letter": 5, "numbers": [ 105170, 5557, 110727 ], "operator_level": 1, "operator_num": 1, "operators": [ "+" ], "seed": 3365722, "trace_id": "76f8047e-6f96-4b82-9067-6fcab1e842b3" }, "question": "给定一个字母等式:PGIPXG + IIIX = PPGXYX,每个字母表示一个数字,不同字母表示不同数字。其中PGIPXG是6位数,IIIX是4位数,PPGXYX是6位数。请计算出满足条件的数字等式。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。" }, "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": null, "E": null, "F": null, "G": 0, "H": null, "I": 5, "J": null, "K": null, "L": null, "M": null, "N": null, "O": null, "P": 1, "Q": null, "R": null, "S": null, "T": null, "U": null, "V": null, "W": null, "X": 7, "Y": 2, "Z": null }, "language": "chinese", "letter_words": [ "PGIPXG", "IIIX", "PPGXYX" ], "num_letter": 5, "numbers": [ 105170, 5557, 110727 ], "operator_level": 1, "operator_num": 1, "operators": [ "+" ], "seed": 3365722, "trace_id": "76f8047e-6f96-4b82-9067-6fcab1e842b3" }, "seed": 3365722, "task_id": 303365722, "task_type": "cryptarithm" }
logic-v2
In this alphametic puzzle: DVEVRJ - EJRDE + DDJ = EVEEE, each letter represents a distinct digit from 0-9. Determine the digits that make the equation valid. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits.
{ "game_data": { "answer": "147482 - 72817 + 112 = 74777", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": 1, "E": 7, "F": null, "G": null, "H": null, "I": null, "J": 2, "K": null, "L": null, "M": null, "N": null, "O": null, "P": null, "Q": null, "R": 8, "S": null, "T": null, "U": null, "V": 4, "W": null, "X": null, "Y": null, "Z": null }, "language": "english", "letter_words": [ "DVEVRJ", "EJRDE", "DDJ", "EVEEE" ], "num_letter": 5, "numbers": [ 147482, 72817, 112, 74777 ], "operator_level": 2, "operator_num": 2, "operators": [ "-", "+" ], "seed": 21306178, "trace_id": "88904a5b-f98c-4e2a-bd46-127fefd35ae9" }, "question": "In this alphametic puzzle: DVEVRJ - EJRDE + DDJ = EVEEE, each letter represents a distinct digit from 0-9. Determine the digits that make the equation valid. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits." }, "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": 1, "E": 7, "F": null, "G": null, "H": null, "I": null, "J": 2, "K": null, "L": null, "M": null, "N": null, "O": null, "P": null, "Q": null, "R": 8, "S": null, "T": null, "U": null, "V": 4, "W": null, "X": null, "Y": null, "Z": null }, "language": "english", "letter_words": [ "DVEVRJ", "EJRDE", "DDJ", "EVEEE" ], "num_letter": 5, "numbers": [ 147482, 72817, 112, 74777 ], "operator_level": 2, "operator_num": 2, "operators": [ "-", "+" ], "seed": 21306178, "trace_id": "88904a5b-f98c-4e2a-bd46-127fefd35ae9" }, "seed": 21306178, "task_id": 321306178, "task_type": "cryptarithm" }
logic-v2
Solve the following alphametic puzzle: DKEEHZ + KEZKS = SZKKEH, where each letter represents a unique digit. Note that DKEEHZ is a 6-digit number, KEZKS is a 5-digit number, and SZKKEH is a 6-digit number. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits.
{ "game_data": { "answer": "463372 + 63265 = 526637", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": 4, "E": 3, "F": null, "G": null, "H": 7, "I": null, "J": null, "K": 6, "L": null, "M": null, "N": null, "O": null, "P": null, "Q": null, "R": null, "S": 5, "T": null, "U": null, "V": null, "W": null, "X": null, "Y": null, "Z": 2 }, "language": "english", "letter_words": [ "DKEEHZ", "KEZKS", "SZKKEH" ], "num_letter": 6, "numbers": [ 463372, 63265, 526637 ], "operator_level": 1, "operator_num": 1, "operators": [ "+" ], "seed": 49527926, "trace_id": "cbb70917-bc67-4140-9eb2-d820ab081ac9" }, "question": "Solve the following alphametic puzzle: DKEEHZ + KEZKS = SZKKEH, where each letter represents a unique digit. Note that DKEEHZ is a 6-digit number, KEZKS is a 5-digit number, and SZKKEH is a 6-digit number. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits." }, "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": 4, "E": 3, "F": null, "G": null, "H": 7, "I": null, "J": null, "K": 6, "L": null, "M": null, "N": null, "O": null, "P": null, "Q": null, "R": null, "S": 5, "T": null, "U": null, "V": null, "W": null, "X": null, "Y": null, "Z": 2 }, "language": "english", "letter_words": [ "DKEEHZ", "KEZKS", "SZKKEH" ], "num_letter": 6, "numbers": [ 463372, 63265, 526637 ], "operator_level": 1, "operator_num": 1, "operators": [ "+" ], "seed": 49527926, "trace_id": "cbb70917-bc67-4140-9eb2-d820ab081ac9" }, "seed": 49527926, "task_id": 349527926, "task_type": "cryptarithm" }
logic-v2
In the cryptarithm: TYYMTE + WWWTT = YTTYYT, each letter stands for a different digit (TYYMTE is 6 digits, WWWTT is 5 digits, and YTTYYT is 6 digits). Determine what each letter represents to make the equation true. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits.
{ "game_data": { "answer": "122410 + 88811 = 211221", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": null, "E": 0, "F": null, "G": null, "H": null, "I": null, "J": null, "K": null, "L": null, "M": 4, "N": null, "O": null, "P": null, "Q": null, "R": null, "S": null, "T": 1, "U": null, "V": null, "W": 8, "X": null, "Y": 2, "Z": null }, "language": "english", "letter_words": [ "TYYMTE", "WWWTT", "YTTYYT" ], "num_letter": 5, "numbers": [ 122410, 88811, 211221 ], "operator_level": 1, "operator_num": 1, "operators": [ "+" ], "seed": 50398719, "trace_id": "a5922495-a6b3-4293-8c41-d6e0a5e5651d" }, "question": "In the cryptarithm: TYYMTE + WWWTT = YTTYYT, each letter stands for a different digit (TYYMTE is 6 digits, WWWTT is 5 digits, and YTTYYT is 6 digits). Determine what each letter represents to make the equation true. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits." }, "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": null, "E": 0, "F": null, "G": null, "H": null, "I": null, "J": null, "K": null, "L": null, "M": 4, "N": null, "O": null, "P": null, "Q": null, "R": null, "S": null, "T": 1, "U": null, "V": null, "W": 8, "X": null, "Y": 2, "Z": null }, "language": "english", "letter_words": [ "TYYMTE", "WWWTT", "YTTYYT" ], "num_letter": 5, "numbers": [ 122410, 88811, 211221 ], "operator_level": 1, "operator_num": 1, "operators": [ "+" ], "seed": 50398719, "trace_id": "a5922495-a6b3-4293-8c41-d6e0a5e5651d" }, "seed": 50398719, "task_id": 350398719, "task_type": "cryptarithm" }
logic-v2
In this alphametic puzzle: V + XGJGX + MXV - J = XMXJJ, each letter represents a distinct digit from 0-9. Determine the digits that make the equation valid. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits.
{ "game_data": { "answer": "1 + 45854 + 641 - 8 = 46488", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": null, "E": null, "F": null, "G": 5, "H": null, "I": null, "J": 8, "K": null, "L": null, "M": 6, "N": null, "O": null, "P": null, "Q": null, "R": null, "S": null, "T": null, "U": null, "V": 1, "W": null, "X": 4, "Y": null, "Z": null }, "language": "english", "letter_words": [ "V", "XGJGX", "MXV", "J", "XMXJJ" ], "num_letter": 5, "numbers": [ 1, 45854, 641, 8, 46488 ], "operator_level": 1, "operator_num": 3, "operators": [ "+", "+", "-" ], "seed": 88043938, "trace_id": "2473a963-2556-4e31-834a-bb410665fb89" }, "question": "In this alphametic puzzle: V + XGJGX + MXV - J = XMXJJ, each letter represents a distinct digit from 0-9. Determine the digits that make the equation valid. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits." }, "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": null, "E": null, "F": null, "G": 5, "H": null, "I": null, "J": 8, "K": null, "L": null, "M": 6, "N": null, "O": null, "P": null, "Q": null, "R": null, "S": null, "T": null, "U": null, "V": 1, "W": null, "X": 4, "Y": null, "Z": null }, "language": "english", "letter_words": [ "V", "XGJGX", "MXV", "J", "XMXJJ" ], "num_letter": 5, "numbers": [ 1, 45854, 641, 8, 46488 ], "operator_level": 1, "operator_num": 3, "operators": [ "+", "+", "-" ], "seed": 88043938, "trace_id": "2473a963-2556-4e31-834a-bb410665fb89" }, "seed": 88043938, "task_id": 388043938, "task_type": "cryptarithm" }
logic-v2
Solve the following alphametic puzzle: OOOJ + JOXEBJ = JXEBOE, where each letter represents a unique digit. Note that OOOJ is a 4-digit number, JOXEBJ is a 6-digit number, and JXEBOE is a 6-digit number. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits.
{ "game_data": { "answer": "6662 + 267402 = 274064", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": 0, "C": null, "D": null, "E": 4, "F": null, "G": null, "H": null, "I": null, "J": 2, "K": null, "L": null, "M": null, "N": null, "O": 6, "P": null, "Q": null, "R": null, "S": null, "T": null, "U": null, "V": null, "W": null, "X": 7, "Y": null, "Z": null }, "language": "english", "letter_words": [ "OOOJ", "JOXEBJ", "JXEBOE" ], "num_letter": 5, "numbers": [ 6662, 267402, 274064 ], "operator_level": 3, "operator_num": 1, "operators": [ "+" ], "seed": 51854516, "trace_id": "46ce7a61-4f6a-4405-8d68-2601dc94f680" }, "question": "Solve the following alphametic puzzle: OOOJ + JOXEBJ = JXEBOE, where each letter represents a unique digit. Note that OOOJ is a 4-digit number, JOXEBJ is a 6-digit number, and JXEBOE is a 6-digit number. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits." }, "metadata": { "digit_map": { "A": null, "B": 0, "C": null, "D": null, "E": 4, "F": null, "G": null, "H": null, "I": null, "J": 2, "K": null, "L": null, "M": null, "N": null, "O": 6, "P": null, "Q": null, "R": null, "S": null, "T": null, "U": null, "V": null, "W": null, "X": 7, "Y": null, "Z": null }, "language": "english", "letter_words": [ "OOOJ", "JOXEBJ", "JXEBOE" ], "num_letter": 5, "numbers": [ 6662, 267402, 274064 ], "operator_level": 3, "operator_num": 1, "operators": [ "+" ], "seed": 51854516, "trace_id": "46ce7a61-4f6a-4405-8d68-2601dc94f680" }, "seed": 51854516, "task_id": 351854516, "task_type": "cryptarithm" }
logic-v2
In this alphametic puzzle: DDBDVM + BDDVMD - BMDMVD = DVMMMM, each letter represents a distinct digit from 0-9. Determine the digits that make the equation valid. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits.
{ "game_data": { "answer": "339370 + 933703 - 903073 = 370000", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": 9, "C": null, "D": 3, "E": null, "F": null, "G": null, "H": null, "I": null, "J": null, "K": null, "L": null, "M": 0, "N": null, "O": null, "P": null, "Q": null, "R": null, "S": null, "T": null, "U": null, "V": 7, "W": null, "X": null, "Y": null, "Z": null }, "language": "english", "letter_words": [ "DDBDVM", "BDDVMD", "BMDMVD", "DVMMMM" ], "num_letter": 4, "numbers": [ 339370, 933703, 903073, 370000 ], "operator_level": 2, "operator_num": 2, "operators": [ "+", "-" ], "seed": 31758468, "trace_id": "70c6a359-6bc9-498e-a8fd-08cbeb4f6478" }, "question": "In this alphametic puzzle: DDBDVM + BDDVMD - BMDMVD = DVMMMM, each letter represents a distinct digit from 0-9. Determine the digits that make the equation valid. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits." }, "metadata": { "digit_map": { "A": null, "B": 9, "C": null, "D": 3, "E": null, "F": null, "G": null, "H": null, "I": null, "J": null, "K": null, "L": null, "M": 0, "N": null, "O": null, "P": null, "Q": null, "R": null, "S": null, "T": null, "U": null, "V": 7, "W": null, "X": null, "Y": null, "Z": null }, "language": "english", "letter_words": [ "DDBDVM", "BDDVMD", "BMDMVD", "DVMMMM" ], "num_letter": 4, "numbers": [ 339370, 933703, 903073, 370000 ], "operator_level": 2, "operator_num": 2, "operators": [ "+", "-" ], "seed": 31758468, "trace_id": "70c6a359-6bc9-498e-a8fd-08cbeb4f6478" }, "seed": 31758468, "task_id": 331758468, "task_type": "cryptarithm" }
logic-v2
解决密码算术谜题:SZSPPW + PCJ + SCJP + SPWZP = ZCWPCJ(其中SZSPPW是6位数、PCJ是3位数、SCJP是4位数、SPWZP是5位数、ZCWPCJ是6位数),其中每个字母表示0-9之间的一个数字,不同字母代表不同数字。请计算出使等式成立的数字等式。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。
{ "game_data": { "answer": "565334 + 320 + 5203 + 53463 = 624320", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": null, "C": 2, "D": null, "E": null, "F": null, "G": null, "H": null, "I": null, "J": 0, "K": null, "L": null, "M": null, "N": null, "O": null, "P": 3, "Q": null, "R": null, "S": 5, "T": null, "U": null, "V": null, "W": 4, "X": null, "Y": null, "Z": 6 }, "language": "chinese", "letter_words": [ "SZSPPW", "PCJ", "SCJP", "SPWZP", "ZCWPCJ" ], "num_letter": 6, "numbers": [ 565334, 320, 5203, 53463, 624320 ], "operator_level": 1, "operator_num": 3, "operators": [ "+", "+", "+" ], "seed": 41499589, "trace_id": "8c770303-efed-4ac8-86a7-1cf5595520ae" }, "question": "解决密码算术谜题:SZSPPW + PCJ + SCJP + SPWZP = ZCWPCJ(其中SZSPPW是6位数、PCJ是3位数、SCJP是4位数、SPWZP是5位数、ZCWPCJ是6位数),其中每个字母表示0-9之间的一个数字,不同字母代表不同数字。请计算出使等式成立的数字等式。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。" }, "metadata": { "digit_map": { "A": null, "B": null, "C": 2, "D": null, "E": null, "F": null, "G": null, "H": null, "I": null, "J": 0, "K": null, "L": null, "M": null, "N": null, "O": null, "P": 3, "Q": null, "R": null, "S": 5, "T": null, "U": null, "V": null, "W": 4, "X": null, "Y": null, "Z": 6 }, "language": "chinese", "letter_words": [ "SZSPPW", "PCJ", "SCJP", "SPWZP", "ZCWPCJ" ], "num_letter": 6, "numbers": [ 565334, 320, 5203, 53463, 624320 ], "operator_level": 1, "operator_num": 3, "operators": [ "+", "+", "+" ], "seed": 41499589, "trace_id": "8c770303-efed-4ac8-86a7-1cf5595520ae" }, "seed": 41499589, "task_id": 341499589, "task_type": "cryptarithm" }
logic-v2
解决密码算术谜题:RTN - TTNKT + GRKONR = KTOKKT(其中RTN是3位数、TTNKT是5位数、GRKONR是6位数、KTOKKT是6位数),其中每个字母表示0-9之间的一个数字,不同字母代表不同数字。请计算出使等式成立的数字等式。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。
{ "game_data": { "answer": "579 - 77937 + 453695 = 376337", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": null, "E": null, "F": null, "G": 4, "H": null, "I": null, "J": null, "K": 3, "L": null, "M": null, "N": 9, "O": 6, "P": null, "Q": null, "R": 5, "S": null, "T": 7, "U": null, "V": null, "W": null, "X": null, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "RTN", "TTNKT", "GRKONR", "KTOKKT" ], "num_letter": 6, "numbers": [ 579, 77937, 453695, 376337 ], "operator_level": 1, "operator_num": 2, "operators": [ "-", "+" ], "seed": 7090665, "trace_id": "6d1b31f4-f551-4d02-87e1-992a4c7d2a20" }, "question": "解决密码算术谜题:RTN - TTNKT + GRKONR = KTOKKT(其中RTN是3位数、TTNKT是5位数、GRKONR是6位数、KTOKKT是6位数),其中每个字母表示0-9之间的一个数字,不同字母代表不同数字。请计算出使等式成立的数字等式。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。" }, "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": null, "E": null, "F": null, "G": 4, "H": null, "I": null, "J": null, "K": 3, "L": null, "M": null, "N": 9, "O": 6, "P": null, "Q": null, "R": 5, "S": null, "T": 7, "U": null, "V": null, "W": null, "X": null, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "RTN", "TTNKT", "GRKONR", "KTOKKT" ], "num_letter": 6, "numbers": [ 579, 77937, 453695, 376337 ], "operator_level": 1, "operator_num": 2, "operators": [ "-", "+" ], "seed": 7090665, "trace_id": "6d1b31f4-f551-4d02-87e1-992a4c7d2a20" }, "seed": 7090665, "task_id": 307090665, "task_type": "cryptarithm" }
logic-v2
Solve this cryptarithm: PXS + XXXUP + APXSIA = UIUXII, where each letter represents a unique digit. Find the digit substitution that makes the equation true. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits.
{ "game_data": { "answer": "465 + 66634 + 246512 = 313611", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": 2, "B": null, "C": null, "D": null, "E": null, "F": null, "G": null, "H": null, "I": 1, "J": null, "K": null, "L": null, "M": null, "N": null, "O": null, "P": 4, "Q": null, "R": null, "S": 5, "T": null, "U": 3, "V": null, "W": null, "X": 6, "Y": null, "Z": null }, "language": "english", "letter_words": [ "PXS", "XXXUP", "APXSIA", "UIUXII" ], "num_letter": 6, "numbers": [ 465, 66634, 246512, 313611 ], "operator_level": 2, "operator_num": 2, "operators": [ "+", "+" ], "seed": 47465724, "trace_id": "c9ad310a-d5d2-4da9-a4dc-d485477e8e06" }, "question": "Solve this cryptarithm: PXS + XXXUP + APXSIA = UIUXII, where each letter represents a unique digit. Find the digit substitution that makes the equation true. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits." }, "metadata": { "digit_map": { "A": 2, "B": null, "C": null, "D": null, "E": null, "F": null, "G": null, "H": null, "I": 1, "J": null, "K": null, "L": null, "M": null, "N": null, "O": null, "P": 4, "Q": null, "R": null, "S": 5, "T": null, "U": 3, "V": null, "W": null, "X": 6, "Y": null, "Z": null }, "language": "english", "letter_words": [ "PXS", "XXXUP", "APXSIA", "UIUXII" ], "num_letter": 6, "numbers": [ 465, 66634, 246512, 313611 ], "operator_level": 2, "operator_num": 2, "operators": [ "+", "+" ], "seed": 47465724, "trace_id": "c9ad310a-d5d2-4da9-a4dc-d485477e8e06" }, "seed": 47465724, "task_id": 347465724, "task_type": "cryptarithm" }
logic-v2
已知字母等式:BLRABB - LLR - A - ABAL = BRRALR(其中BLRABB是6位数、LLR是3位数、A是1位数、ABAL是4位数、BRRALR是6位数),每个字母代表一个数字,不同字母代表不同数字。请找出让等式成立的数字替换方案。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。
{ "game_data": { "answer": "632966 - 332 - 9 - 9693 = 622932", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": 9, "B": 6, "C": null, "D": null, "E": null, "F": null, "G": null, "H": null, "I": null, "J": null, "K": null, "L": 3, "M": null, "N": null, "O": null, "P": null, "Q": null, "R": 2, "S": null, "T": null, "U": null, "V": null, "W": null, "X": null, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "BLRABB", "LLR", "A", "ABAL", "BRRALR" ], "num_letter": 4, "numbers": [ 632966, 332, 9, 9693, 622932 ], "operator_level": 3, "operator_num": 3, "operators": [ "-", "-", "-" ], "seed": 97649193, "trace_id": "592dff20-1669-4912-a2ef-38aab42779d3" }, "question": "已知字母等式:BLRABB - LLR - A - ABAL = BRRALR(其中BLRABB是6位数、LLR是3位数、A是1位数、ABAL是4位数、BRRALR是6位数),每个字母代表一个数字,不同字母代表不同数字。请找出让等式成立的数字替换方案。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。" }, "metadata": { "digit_map": { "A": 9, "B": 6, "C": null, "D": null, "E": null, "F": null, "G": null, "H": null, "I": null, "J": null, "K": null, "L": 3, "M": null, "N": null, "O": null, "P": null, "Q": null, "R": 2, "S": null, "T": null, "U": null, "V": null, "W": null, "X": null, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "BLRABB", "LLR", "A", "ABAL", "BRRALR" ], "num_letter": 4, "numbers": [ 632966, 332, 9, 9693, 622932 ], "operator_level": 3, "operator_num": 3, "operators": [ "-", "-", "-" ], "seed": 97649193, "trace_id": "592dff20-1669-4912-a2ef-38aab42779d3" }, "seed": 97649193, "task_id": 397649193, "task_type": "cryptarithm" }
logic-v2
有一个等式:ZMBMW + KZBZ = KMMZK,其中每个字母代表一个不同的数字(ZMBMW 是 5 位数、KZBZ 是 4 位数、KMMZK 是 5 位数)。请找出每个字母代表的数字,使等式成立。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。
{ "game_data": { "answer": "83531 + 9858 = 93389", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": 5, "C": null, "D": null, "E": null, "F": null, "G": null, "H": null, "I": null, "J": null, "K": 9, "L": null, "M": 3, "N": null, "O": null, "P": null, "Q": null, "R": null, "S": null, "T": null, "U": null, "V": null, "W": 1, "X": null, "Y": null, "Z": 8 }, "language": "chinese", "letter_words": [ "ZMBMW", "KZBZ", "KMMZK" ], "num_letter": 5, "numbers": [ 83531, 9858, 93389 ], "operator_level": 2, "operator_num": 1, "operators": [ "+" ], "seed": 21385665, "trace_id": "0379428d-7f24-4b61-a917-bedf5ee1178d" }, "question": "有一个等式:ZMBMW + KZBZ = KMMZK,其中每个字母代表一个不同的数字(ZMBMW 是 5 位数、KZBZ 是 4 位数、KMMZK 是 5 位数)。请找出每个字母代表的数字,使等式成立。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。" }, "metadata": { "digit_map": { "A": null, "B": 5, "C": null, "D": null, "E": null, "F": null, "G": null, "H": null, "I": null, "J": null, "K": 9, "L": null, "M": 3, "N": null, "O": null, "P": null, "Q": null, "R": null, "S": null, "T": null, "U": null, "V": null, "W": 1, "X": null, "Y": null, "Z": 8 }, "language": "chinese", "letter_words": [ "ZMBMW", "KZBZ", "KMMZK" ], "num_letter": 5, "numbers": [ 83531, 9858, 93389 ], "operator_level": 2, "operator_num": 1, "operators": [ "+" ], "seed": 21385665, "trace_id": "0379428d-7f24-4b61-a917-bedf5ee1178d" }, "seed": 21385665, "task_id": 321385665, "task_type": "cryptarithm" }
logic-v2
Solve this cryptarithm: XANKXA + ACX + OKNXXO = KKNKANA, where each letter represents a unique digit. Find the digit substitution that makes the equation true. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits.
{ "game_data": { "answer": "790179 + 957 + 310773 = 1101909", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": 9, "B": null, "C": 5, "D": null, "E": null, "F": null, "G": null, "H": null, "I": null, "J": null, "K": 1, "L": null, "M": null, "N": 0, "O": 3, "P": null, "Q": null, "R": null, "S": null, "T": null, "U": null, "V": null, "W": null, "X": 7, "Y": null, "Z": null }, "language": "english", "letter_words": [ "XANKXA", "ACX", "OKNXXO", "KKNKANA" ], "num_letter": 6, "numbers": [ 790179, 957, 310773, 1101909 ], "operator_level": 3, "operator_num": 2, "operators": [ "+", "+" ], "seed": 29683298, "trace_id": "4b7ad949-6c1f-4fd9-876b-83d1d93f37b7" }, "question": "Solve this cryptarithm: XANKXA + ACX + OKNXXO = KKNKANA, where each letter represents a unique digit. Find the digit substitution that makes the equation true. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits." }, "metadata": { "digit_map": { "A": 9, "B": null, "C": 5, "D": null, "E": null, "F": null, "G": null, "H": null, "I": null, "J": null, "K": 1, "L": null, "M": null, "N": 0, "O": 3, "P": null, "Q": null, "R": null, "S": null, "T": null, "U": null, "V": null, "W": null, "X": 7, "Y": null, "Z": null }, "language": "english", "letter_words": [ "XANKXA", "ACX", "OKNXXO", "KKNKANA" ], "num_letter": 6, "numbers": [ 790179, 957, 310773, 1101909 ], "operator_level": 3, "operator_num": 2, "operators": [ "+", "+" ], "seed": 29683298, "trace_id": "4b7ad949-6c1f-4fd9-876b-83d1d93f37b7" }, "seed": 29683298, "task_id": 329683298, "task_type": "cryptarithm" }
logic-v2
Given: HAAHP - AZNAN = ZZPZN, where each letter represents a unique digit (HAAHP is a 5-digit number, AZNAN is a 5-digit number, and ZZPZN is a 5-digit number). Find the numeric equation that makes the equality valid. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits.
{ "game_data": { "answer": "96694 - 63262 = 33432", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": 6, "B": null, "C": null, "D": null, "E": null, "F": null, "G": null, "H": 9, "I": null, "J": null, "K": null, "L": null, "M": null, "N": 2, "O": null, "P": 4, "Q": null, "R": null, "S": null, "T": null, "U": null, "V": null, "W": null, "X": null, "Y": null, "Z": 3 }, "language": "english", "letter_words": [ "HAAHP", "AZNAN", "ZZPZN" ], "num_letter": 5, "numbers": [ 96694, 63262, 33432 ], "operator_level": 1, "operator_num": 1, "operators": [ "-" ], "seed": 33954981, "trace_id": "a8a5c551-43a7-496e-817b-f5af9dc1854a" }, "question": "Given: HAAHP - AZNAN = ZZPZN, where each letter represents a unique digit (HAAHP is a 5-digit number, AZNAN is a 5-digit number, and ZZPZN is a 5-digit number). Find the numeric equation that makes the equality valid. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits." }, "metadata": { "digit_map": { "A": 6, "B": null, "C": null, "D": null, "E": null, "F": null, "G": null, "H": 9, "I": null, "J": null, "K": null, "L": null, "M": null, "N": 2, "O": null, "P": 4, "Q": null, "R": null, "S": null, "T": null, "U": null, "V": null, "W": null, "X": null, "Y": null, "Z": 3 }, "language": "english", "letter_words": [ "HAAHP", "AZNAN", "ZZPZN" ], "num_letter": 5, "numbers": [ 96694, 63262, 33432 ], "operator_level": 1, "operator_num": 1, "operators": [ "-" ], "seed": 33954981, "trace_id": "a8a5c551-43a7-496e-817b-f5af9dc1854a" }, "seed": 33954981, "task_id": 333954981, "task_type": "cryptarithm" }
logic-v2
解决密码算术谜题:MWAXA + RMAA + XRCWWM = WMMRCR(其中MWAXA是5位数、RMAA是4位数、XRCWWM是6位数、WMMRCR是6位数),其中每个字母表示0-9之间的一个数字,不同字母代表不同数字。请计算出使等式成立的数字等式。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。
{ "game_data": { "answer": "46757 + 8477 + 589664 = 644898", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": 7, "B": null, "C": 9, "D": null, "E": null, "F": null, "G": null, "H": null, "I": null, "J": null, "K": null, "L": null, "M": 4, "N": null, "O": null, "P": null, "Q": null, "R": 8, "S": null, "T": null, "U": null, "V": null, "W": 6, "X": 5, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "MWAXA", "RMAA", "XRCWWM", "WMMRCR" ], "num_letter": 6, "numbers": [ 46757, 8477, 589664, 644898 ], "operator_level": 3, "operator_num": 2, "operators": [ "+", "+" ], "seed": 44983326, "trace_id": "10690f17-bf0e-42e7-b29e-215cd744b0a1" }, "question": "解决密码算术谜题:MWAXA + RMAA + XRCWWM = WMMRCR(其中MWAXA是5位数、RMAA是4位数、XRCWWM是6位数、WMMRCR是6位数),其中每个字母表示0-9之间的一个数字,不同字母代表不同数字。请计算出使等式成立的数字等式。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。" }, "metadata": { "digit_map": { "A": 7, "B": null, "C": 9, "D": null, "E": null, "F": null, "G": null, "H": null, "I": null, "J": null, "K": null, "L": null, "M": 4, "N": null, "O": null, "P": null, "Q": null, "R": 8, "S": null, "T": null, "U": null, "V": null, "W": 6, "X": 5, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "MWAXA", "RMAA", "XRCWWM", "WMMRCR" ], "num_letter": 6, "numbers": [ 46757, 8477, 589664, 644898 ], "operator_level": 3, "operator_num": 2, "operators": [ "+", "+" ], "seed": 44983326, "trace_id": "10690f17-bf0e-42e7-b29e-215cd744b0a1" }, "seed": 44983326, "task_id": 344983326, "task_type": "cryptarithm" }
logic-v2
Given: YMYRQ + LQQMY = RMRRLR, where each letter represents a unique digit (YMYRQ is a 5-digit number, LQQMY is a 5-digit number, and RMRRLR is a 6-digit number). Find the numeric equation that makes the equality valid. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits.
{ "game_data": { "answer": "76714 + 84467 = 161181", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": null, "E": null, "F": null, "G": null, "H": null, "I": null, "J": null, "K": null, "L": 8, "M": 6, "N": null, "O": null, "P": null, "Q": 4, "R": 1, "S": null, "T": null, "U": null, "V": null, "W": null, "X": null, "Y": 7, "Z": null }, "language": "english", "letter_words": [ "YMYRQ", "LQQMY", "RMRRLR" ], "num_letter": 5, "numbers": [ 76714, 84467, 161181 ], "operator_level": 2, "operator_num": 1, "operators": [ "+" ], "seed": 94369730, "trace_id": "79d3f260-c435-4bdc-9a10-37d6b1fb406f" }, "question": "Given: YMYRQ + LQQMY = RMRRLR, where each letter represents a unique digit (YMYRQ is a 5-digit number, LQQMY is a 5-digit number, and RMRRLR is a 6-digit number). Find the numeric equation that makes the equality valid. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits." }, "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": null, "E": null, "F": null, "G": null, "H": null, "I": null, "J": null, "K": null, "L": 8, "M": 6, "N": null, "O": null, "P": null, "Q": 4, "R": 1, "S": null, "T": null, "U": null, "V": null, "W": null, "X": null, "Y": 7, "Z": null }, "language": "english", "letter_words": [ "YMYRQ", "LQQMY", "RMRRLR" ], "num_letter": 5, "numbers": [ 76714, 84467, 161181 ], "operator_level": 2, "operator_num": 1, "operators": [ "+" ], "seed": 94369730, "trace_id": "79d3f260-c435-4bdc-9a10-37d6b1fb406f" }, "seed": 94369730, "task_id": 394369730, "task_type": "cryptarithm" }
logic-v2
解决密码算术谜题:I - XRXJR + JJKXKX = RKJVJR(其中I是1位数、XRXJR是5位数、JJKXKX是6位数、RKJVJR是6位数),其中每个字母表示0-9之间的一个数字,不同字母代表不同数字。请计算出使等式成立的数字等式。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。
{ "game_data": { "answer": "6 - 82832 + 335858 = 253032", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": null, "E": null, "F": null, "G": null, "H": null, "I": 6, "J": 3, "K": 5, "L": null, "M": null, "N": null, "O": null, "P": null, "Q": null, "R": 2, "S": null, "T": null, "U": null, "V": 0, "W": null, "X": 8, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "I", "XRXJR", "JJKXKX", "RKJVJR" ], "num_letter": 6, "numbers": [ 6, 82832, 335858, 253032 ], "operator_level": 1, "operator_num": 2, "operators": [ "-", "+" ], "seed": 66279817, "trace_id": "4952550e-4d58-4419-bf87-6fe310c5845d" }, "question": "解决密码算术谜题:I - XRXJR + JJKXKX = RKJVJR(其中I是1位数、XRXJR是5位数、JJKXKX是6位数、RKJVJR是6位数),其中每个字母表示0-9之间的一个数字,不同字母代表不同数字。请计算出使等式成立的数字等式。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。" }, "metadata": { "digit_map": { "A": null, "B": null, "C": null, "D": null, "E": null, "F": null, "G": null, "H": null, "I": 6, "J": 3, "K": 5, "L": null, "M": null, "N": null, "O": null, "P": null, "Q": null, "R": 2, "S": null, "T": null, "U": null, "V": 0, "W": null, "X": 8, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "I", "XRXJR", "JJKXKX", "RKJVJR" ], "num_letter": 6, "numbers": [ 6, 82832, 335858, 253032 ], "operator_level": 1, "operator_num": 2, "operators": [ "-", "+" ], "seed": 66279817, "trace_id": "4952550e-4d58-4419-bf87-6fe310c5845d" }, "seed": 66279817, "task_id": 366279817, "task_type": "cryptarithm" }
logic-v2
In this alphametic puzzle: GWSS + QSQG + GGFS = WAFWQ, each letter represents a distinct digit from 0-9. Determine the digits that make the equation valid. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits.
{ "game_data": { "answer": "5199 + 3935 + 5579 = 14713", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": 4, "B": null, "C": null, "D": null, "E": null, "F": 7, "G": 5, "H": null, "I": null, "J": null, "K": null, "L": null, "M": null, "N": null, "O": null, "P": null, "Q": 3, "R": null, "S": 9, "T": null, "U": null, "V": null, "W": 1, "X": null, "Y": null, "Z": null }, "language": "english", "letter_words": [ "GWSS", "QSQG", "GGFS", "WAFWQ" ], "num_letter": 6, "numbers": [ 5199, 3935, 5579, 14713 ], "operator_level": 2, "operator_num": 2, "operators": [ "+", "+" ], "seed": 87586355, "trace_id": "30b1f113-0043-4027-9577-bcdfafebbf9f" }, "question": "In this alphametic puzzle: GWSS + QSQG + GGFS = WAFWQ, each letter represents a distinct digit from 0-9. Determine the digits that make the equation valid. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits." }, "metadata": { "digit_map": { "A": 4, "B": null, "C": null, "D": null, "E": null, "F": 7, "G": 5, "H": null, "I": null, "J": null, "K": null, "L": null, "M": null, "N": null, "O": null, "P": null, "Q": 3, "R": null, "S": 9, "T": null, "U": null, "V": null, "W": 1, "X": null, "Y": null, "Z": null }, "language": "english", "letter_words": [ "GWSS", "QSQG", "GGFS", "WAFWQ" ], "num_letter": 6, "numbers": [ 5199, 3935, 5579, 14713 ], "operator_level": 2, "operator_num": 2, "operators": [ "+", "+" ], "seed": 87586355, "trace_id": "30b1f113-0043-4027-9577-bcdfafebbf9f" }, "seed": 87586355, "task_id": 387586355, "task_type": "cryptarithm" }
logic-v2
解决密码算术谜题:RRZR - RBZ - U - BZZU = URBU(其中RRZR是4位数、RBZ是3位数、U是1位数、BZZU是4位数、URBU是4位数),其中每个字母表示0-9之间的一个数字,不同字母代表不同数字。请计算出使等式成立的数字等式。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。
{ "game_data": { "answer": "9909 - 950 - 3 - 5003 = 3953", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": 5, "C": null, "D": null, "E": null, "F": null, "G": null, "H": null, "I": null, "J": null, "K": null, "L": null, "M": null, "N": null, "O": null, "P": null, "Q": null, "R": 9, "S": null, "T": null, "U": 3, "V": null, "W": null, "X": null, "Y": null, "Z": 0 }, "language": "chinese", "letter_words": [ "RRZR", "RBZ", "U", "BZZU", "URBU" ], "num_letter": 4, "numbers": [ 9909, 950, 3, 5003, 3953 ], "operator_level": 1, "operator_num": 3, "operators": [ "-", "-", "-" ], "seed": 81564080, "trace_id": "ec0f5e8a-f609-4c56-9364-79ff98bf2b22" }, "question": "解决密码算术谜题:RRZR - RBZ - U - BZZU = URBU(其中RRZR是4位数、RBZ是3位数、U是1位数、BZZU是4位数、URBU是4位数),其中每个字母表示0-9之间的一个数字,不同字母代表不同数字。请计算出使等式成立的数字等式。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。" }, "metadata": { "digit_map": { "A": null, "B": 5, "C": null, "D": null, "E": null, "F": null, "G": null, "H": null, "I": null, "J": null, "K": null, "L": null, "M": null, "N": null, "O": null, "P": null, "Q": null, "R": 9, "S": null, "T": null, "U": 3, "V": null, "W": null, "X": null, "Y": null, "Z": 0 }, "language": "chinese", "letter_words": [ "RRZR", "RBZ", "U", "BZZU", "URBU" ], "num_letter": 4, "numbers": [ 9909, 950, 3, 5003, 3953 ], "operator_level": 1, "operator_num": 3, "operators": [ "-", "-", "-" ], "seed": 81564080, "trace_id": "ec0f5e8a-f609-4c56-9364-79ff98bf2b22" }, "seed": 81564080, "task_id": 381564080, "task_type": "cryptarithm" }
logic-v2
已知字母等式:XXHB + L * BBBH + L = BHHBH(其中XXHB是4位数、L是1位数、BBBH是4位数、L是1位数、BHHBH是5位数),每个字母代表一个数字,不同字母代表不同数字。请找出让等式成立的数字替换方案。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。
{ "game_data": { "answer": "4421 + 7 * 1112 + 7 = 12212", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": 1, "C": null, "D": null, "E": null, "F": null, "G": null, "H": 2, "I": null, "J": null, "K": null, "L": 7, "M": null, "N": null, "O": null, "P": null, "Q": null, "R": null, "S": null, "T": null, "U": null, "V": null, "W": null, "X": 4, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "XXHB", "L", "BBBH", "L", "BHHBH" ], "num_letter": 4, "numbers": [ 4421, 7, 1112, 7, 12212 ], "operator_level": 3, "operator_num": 3, "operators": [ "+", "*", "+" ], "seed": 3925888, "trace_id": "b54d26cb-a7f1-42ca-92a9-351b7eedc1d6" }, "question": "已知字母等式:XXHB + L * BBBH + L = BHHBH(其中XXHB是4位数、L是1位数、BBBH是4位数、L是1位数、BHHBH是5位数),每个字母代表一个数字,不同字母代表不同数字。请找出让等式成立的数字替换方案。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。" }, "metadata": { "digit_map": { "A": null, "B": 1, "C": null, "D": null, "E": null, "F": null, "G": null, "H": 2, "I": null, "J": null, "K": null, "L": 7, "M": null, "N": null, "O": null, "P": null, "Q": null, "R": null, "S": null, "T": null, "U": null, "V": null, "W": null, "X": 4, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "XXHB", "L", "BBBH", "L", "BHHBH" ], "num_letter": 4, "numbers": [ 4421, 7, 1112, 7, 12212 ], "operator_level": 3, "operator_num": 3, "operators": [ "+", "*", "+" ], "seed": 3925888, "trace_id": "b54d26cb-a7f1-42ca-92a9-351b7eedc1d6" }, "seed": 3925888, "task_id": 303925888, "task_type": "cryptarithm" }
logic-v2
In this alphametic puzzle: ZOODXO + ZFFXZZ - ODXXOD + ADODXZ = FZXFDF, each letter represents a distinct digit from 0-9. Determine the digits that make the equation valid. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits.
{ "game_data": { "answer": "566906 + 577055 - 690069 + 296905 = 750797", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": 2, "B": null, "C": null, "D": 9, "E": null, "F": 7, "G": null, "H": null, "I": null, "J": null, "K": null, "L": null, "M": null, "N": null, "O": 6, "P": null, "Q": null, "R": null, "S": null, "T": null, "U": null, "V": null, "W": null, "X": 0, "Y": null, "Z": 5 }, "language": "english", "letter_words": [ "ZOODXO", "ZFFXZZ", "ODXXOD", "ADODXZ", "FZXFDF" ], "num_letter": 6, "numbers": [ 566906, 577055, 690069, 296905, 750797 ], "operator_level": 2, "operator_num": 3, "operators": [ "+", "-", "+" ], "seed": 7179982, "trace_id": "49e539fe-cb95-4584-82f1-9ff7821aecb7" }, "question": "In this alphametic puzzle: ZOODXO + ZFFXZZ - ODXXOD + ADODXZ = FZXFDF, each letter represents a distinct digit from 0-9. Determine the digits that make the equation valid. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits." }, "metadata": { "digit_map": { "A": 2, "B": null, "C": null, "D": 9, "E": null, "F": 7, "G": null, "H": null, "I": null, "J": null, "K": null, "L": null, "M": null, "N": null, "O": 6, "P": null, "Q": null, "R": null, "S": null, "T": null, "U": null, "V": null, "W": null, "X": 0, "Y": null, "Z": 5 }, "language": "english", "letter_words": [ "ZOODXO", "ZFFXZZ", "ODXXOD", "ADODXZ", "FZXFDF" ], "num_letter": 6, "numbers": [ 566906, 577055, 690069, 296905, 750797 ], "operator_level": 2, "operator_num": 3, "operators": [ "+", "-", "+" ], "seed": 7179982, "trace_id": "49e539fe-cb95-4584-82f1-9ff7821aecb7" }, "seed": 7179982, "task_id": 307179982, "task_type": "cryptarithm" }
logic-v2
解决密码算术谜题:CQC * PNQP + C = CNNCQCG(其中CQC是3位数、PNQP是4位数、C是1位数、CNNCQCG是7位数),其中每个字母表示0-9之间的一个数字,不同字母代表不同数字。请计算出使等式成立的数字等式。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。
{ "game_data": { "answer": "181 * 9789 + 1 = 1771810", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": null, "C": 1, "D": null, "E": null, "F": null, "G": 0, "H": null, "I": null, "J": null, "K": null, "L": null, "M": null, "N": 7, "O": null, "P": 9, "Q": 8, "R": null, "S": null, "T": null, "U": null, "V": null, "W": null, "X": null, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "CQC", "PNQP", "C", "CNNCQCG" ], "num_letter": 5, "numbers": [ 181, 9789, 1, 1771810 ], "operator_level": 3, "operator_num": 2, "operators": [ "*", "+" ], "seed": 72824946, "trace_id": "904c48cf-d160-4020-a5b7-4f961eff6185" }, "question": "解决密码算术谜题:CQC * PNQP + C = CNNCQCG(其中CQC是3位数、PNQP是4位数、C是1位数、CNNCQCG是7位数),其中每个字母表示0-9之间的一个数字,不同字母代表不同数字。请计算出使等式成立的数字等式。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。" }, "metadata": { "digit_map": { "A": null, "B": null, "C": 1, "D": null, "E": null, "F": null, "G": 0, "H": null, "I": null, "J": null, "K": null, "L": null, "M": null, "N": 7, "O": null, "P": 9, "Q": 8, "R": null, "S": null, "T": null, "U": null, "V": null, "W": null, "X": null, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "CQC", "PNQP", "C", "CNNCQCG" ], "num_letter": 5, "numbers": [ 181, 9789, 1, 1771810 ], "operator_level": 3, "operator_num": 2, "operators": [ "*", "+" ], "seed": 72824946, "trace_id": "904c48cf-d160-4020-a5b7-4f961eff6185" }, "seed": 72824946, "task_id": 372824946, "task_type": "cryptarithm" }
logic-v2
解决密码算术谜题:APAXCP + CXSXAS - XCAPSP + XAAS = XICXCS(其中APAXCP是6位数、CXSXAS是6位数、XCAPSP是6位数、XAAS是4位数、XICXCS是6位数),其中每个字母表示0-9之间的一个数字,不同字母代表不同数字。请计算出使等式成立的数字等式。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。
{ "game_data": { "answer": "525672 + 760650 - 675202 + 6550 = 617670", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": 5, "B": null, "C": 7, "D": null, "E": null, "F": null, "G": null, "H": null, "I": 1, "J": null, "K": null, "L": null, "M": null, "N": null, "O": null, "P": 2, "Q": null, "R": null, "S": 0, "T": null, "U": null, "V": null, "W": null, "X": 6, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "APAXCP", "CXSXAS", "XCAPSP", "XAAS", "XICXCS" ], "num_letter": 6, "numbers": [ 525672, 760650, 675202, 6550, 617670 ], "operator_level": 2, "operator_num": 3, "operators": [ "+", "-", "+" ], "seed": 18167976, "trace_id": "18e744fb-d8a0-4f09-978f-76b9c13e2355" }, "question": "解决密码算术谜题:APAXCP + CXSXAS - XCAPSP + XAAS = XICXCS(其中APAXCP是6位数、CXSXAS是6位数、XCAPSP是6位数、XAAS是4位数、XICXCS是6位数),其中每个字母表示0-9之间的一个数字,不同字母代表不同数字。请计算出使等式成立的数字等式。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。" }, "metadata": { "digit_map": { "A": 5, "B": null, "C": 7, "D": null, "E": null, "F": null, "G": null, "H": null, "I": 1, "J": null, "K": null, "L": null, "M": null, "N": null, "O": null, "P": 2, "Q": null, "R": null, "S": 0, "T": null, "U": null, "V": null, "W": null, "X": 6, "Y": null, "Z": null }, "language": "chinese", "letter_words": [ "APAXCP", "CXSXAS", "XCAPSP", "XAAS", "XICXCS" ], "num_letter": 6, "numbers": [ 525672, 760650, 675202, 6550, 617670 ], "operator_level": 2, "operator_num": 3, "operators": [ "+", "-", "+" ], "seed": 18167976, "trace_id": "18e744fb-d8a0-4f09-978f-76b9c13e2355" }, "seed": 18167976, "task_id": 318167976, "task_type": "cryptarithm" }
logic-v2
解决密码算术谜题:LYA + LYYAL - NLLQ - QNQAA = YYNAA(其中LYA是3位数、LYYAL是5位数、NLLQ是4位数、QNQAA是5位数、YYNAA是5位数),其中每个字母表示0-9之间的一个数字,不同字母代表不同数字。请计算出使等式成立的数字等式。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。
{ "game_data": { "answer": "978 + 97789 - 5991 - 15188 = 77588", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": 8, "B": null, "C": null, "D": null, "E": null, "F": null, "G": null, "H": null, "I": null, "J": null, "K": null, "L": 9, "M": null, "N": 5, "O": null, "P": null, "Q": 1, "R": null, "S": null, "T": null, "U": null, "V": null, "W": null, "X": null, "Y": 7, "Z": null }, "language": "chinese", "letter_words": [ "LYA", "LYYAL", "NLLQ", "QNQAA", "YYNAA" ], "num_letter": 5, "numbers": [ 978, 97789, 5991, 15188, 77588 ], "operator_level": 2, "operator_num": 3, "operators": [ "+", "-", "-" ], "seed": 52806168, "trace_id": "f8d81767-8c43-4691-ae65-a57a93888a0a" }, "question": "解决密码算术谜题:LYA + LYYAL - NLLQ - QNQAA = YYNAA(其中LYA是3位数、LYYAL是5位数、NLLQ是4位数、QNQAA是5位数、YYNAA是5位数),其中每个字母表示0-9之间的一个数字,不同字母代表不同数字。请计算出使等式成立的数字等式。 请在回答的最后一行使用以下格式:答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。" }, "metadata": { "digit_map": { "A": 8, "B": null, "C": null, "D": null, "E": null, "F": null, "G": null, "H": null, "I": null, "J": null, "K": null, "L": 9, "M": null, "N": 5, "O": null, "P": null, "Q": 1, "R": null, "S": null, "T": null, "U": null, "V": null, "W": null, "X": null, "Y": 7, "Z": null }, "language": "chinese", "letter_words": [ "LYA", "LYYAL", "NLLQ", "QNQAA", "YYNAA" ], "num_letter": 5, "numbers": [ 978, 97789, 5991, 15188, 77588 ], "operator_level": 2, "operator_num": 3, "operators": [ "+", "-", "-" ], "seed": 52806168, "trace_id": "f8d81767-8c43-4691-ae65-a57a93888a0a" }, "seed": 52806168, "task_id": 352806168, "task_type": "cryptarithm" }
logic-v2
In this alphametic puzzle: MFFEDM + NNBMEE * ENBM = MNFDBFMDBN, each letter represents a distinct digit from 0-9. Determine the digits that make the equation valid. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits.
{ "game_data": { "answer": "199371 + 440133 * 3401 = 1497091704", "difficulty": 1, "gpt_response": "", "metadata": { "digit_map": { "A": null, "B": 0, "C": null, "D": 7, "E": 3, "F": 9, "G": null, "H": null, "I": null, "J": null, "K": null, "L": null, "M": 1, "N": 4, "O": null, "P": null, "Q": null, "R": null, "S": null, "T": null, "U": null, "V": null, "W": null, "X": null, "Y": null, "Z": null }, "language": "english", "letter_words": [ "MFFEDM", "NNBMEE", "ENBM", "MNFDBFMDBN" ], "num_letter": 6, "numbers": [ 199371, 440133, 3401, 1497091704 ], "operator_level": 3, "operator_num": 2, "operators": [ "+", "*" ], "seed": 22622376, "trace_id": "6dde43e2-8327-4b8f-b4a7-83207c977b4e" }, "question": "In this alphametic puzzle: MFFEDM + NNBMEE * ENBM = MNFDBFMDBN, each letter represents a distinct digit from 0-9. Determine the digits that make the equation valid. Please end your response in the last line with the following format: The answer is $YOUR_ANSWER. $YOUR_ANSWER should be the equation with letters replaced by digits." }, "metadata": { "digit_map": { "A": null, "B": 0, "C": null, "D": 7, "E": 3, "F": 9, "G": null, "H": null, "I": null, "J": null, "K": null, "L": null, "M": 1, "N": 4, "O": null, "P": null, "Q": null, "R": null, "S": null, "T": null, "U": null, "V": null, "W": null, "X": null, "Y": null, "Z": null }, "language": "english", "letter_words": [ "MFFEDM", "NNBMEE", "ENBM", "MNFDBFMDBN" ], "num_letter": 6, "numbers": [ 199371, 440133, 3401, 1497091704 ], "operator_level": 3, "operator_num": 2, "operators": [ "+", "*" ], "seed": 22622376, "trace_id": "6dde43e2-8327-4b8f-b4a7-83207c977b4e" }, "seed": 22622376, "task_id": 322622376, "task_type": "cryptarithm" }