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value | instruction stringlengths 54 90 | context stringlengths 0 82 | response stringlengths 1 330 | analysis_plan stringclasses 10
values | verification stringclasses 10
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values | hallucination_control stringclasses 10
values | error_detection stringclasses 10
values | error_repair stringclasses 10
values | answerability stringclasses 2
values | confidence float32 0.85 1 | uncertainty float32 0 0.15 | reasoning_depth int16 1 4 | minimal_sufficient_reasoning bool 1
class | unnecessary_reasoning bool 1
class | stop_condition stringclasses 10
values | surface_variation int32 0 16 | numeric_variation int32 0 96 | structure_variation int32 0 30 | ood_style int32 0 12 | quality_score float32 0.9 0.9 | synthetic bool 1
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mtd-000000005300 | error_analysis | error_analysis_analysis | general_reasoning | easy | easy | en | Classify the likely cause of an incorrect answer and propose a repair. | Synthetic evaluation instance 5300. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 13 | 62 | 30 | 9 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000005301 | code | function_generation | programming | easy | easy | en | Write Python code that returns the square of an integer. | Input example: n = 6546 | def square(n):
return n * n | Identify required input/output and implement minimal function. | Static code contract check. | static_contract | not_applicable | not_applicable | not_applicable | passed | not_applicable | not_applicable | No external API assumptions. | Check function signature and operation. | Correct implementation if contract is violated. | answerable | 0.99 | 0.01 | 1 | true | false | Stop after contract verification. | 14 | 63 | 0 | 10 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000000005302 | math | arithmetic | mathematics | easy | easy | en | Solve the following arithmetic problem exactly: 427814 + 210434 | 638248 | Identify operation, compute exactly, verify result. | Exact arithmetic verification. | exact | passed | not_applicable | not_applicable | not_applicable | not_applicable | not_applicable | Use only supplied operands. | Check arithmetic operation. | Recompute if mismatch detected. | answerable | 1 | 0 | 1 | true | false | Stop after exact verification. | 15 | 64 | 1 | 11 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000005303 | math | arithmetic | mathematics | easy | easy | en | Solve the following arithmetic problem exactly: 801892 - 5864 | 796028 | Identify operation, compute exactly, verify result. | Exact arithmetic verification. | exact | passed | not_applicable | not_applicable | not_applicable | not_applicable | not_applicable | Use only supplied operands. | Check arithmetic operation. | Recompute if mismatch detected. | answerable | 1 | 0 | 1 | true | false | Stop after exact verification. | 16 | 65 | 2 | 12 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000005304 | adversarial | adversarial_analysis | general_reasoning | easy | easy | en | Identify a plausible failure mode in the proposed reasoning. | Synthetic evaluation instance 5304. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 0 | 66 | 3 | 0 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000005305 | prompt_review | prompt_review_analysis | general_reasoning | easy | easy | en | Review the prompt for ambiguity, contradictions, and missing constraints. | Synthetic evaluation instance 5305. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 1 | 67 | 4 | 1 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000005306 | logic | deductive_reasoning | logic | easy | easy | en | Determine whether the conclusion follows from the given statements. | If x > 36, then x is positive.
x = 36.
y = 84. | Conclusion: x is positive.
Result: Yes. | Identify premises, apply implication, verify conclusion. | Logical consistency check. | symbolic | not_applicable | passed | not_applicable | not_applicable | not_applicable | not_applicable | Reason only from supplied premises. | Check whether conclusion is entailed. | Re-evaluate premises if conclusion conflicts. | answerable | 0.99 | 0.01 | 2 | true | false | Stop once entailment is established. | 2 | 68 | 5 | 2 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000000005307 | error_analysis | error_analysis_analysis | general_reasoning | easy | easy | en | Classify the likely cause of an incorrect answer and propose a repair. | Synthetic evaluation instance 5307. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 3 | 69 | 6 | 3 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000005308 | calibration | calibration_analysis | general_reasoning | easy | easy | en | Explain when a system should reduce confidence in its answer. | Synthetic evaluation instance 5308. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 4 | 70 | 7 | 4 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000005309 | code | function_generation | programming | easy | easy | en | Write Python code that returns the square of an integer. | Input example: n = 97873 | def square(n):
return n * n | Identify required input/output and implement minimal function. | Static code contract check. | static_contract | not_applicable | not_applicable | not_applicable | passed | not_applicable | not_applicable | No external API assumptions. | Check function signature and operation. | Correct implementation if contract is violated. | answerable | 0.99 | 0.01 | 1 | true | false | Stop after contract verification. | 5 | 71 | 8 | 5 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000000005310 | math | arithmetic | mathematics | medium | medium | en | Solve the following arithmetic problem exactly: 2695155 ÷ 353 | 2695155 | Identify operation, compute exactly, verify result. | Exact arithmetic verification. | exact | passed | not_applicable | not_applicable | not_applicable | not_applicable | not_applicable | Use only supplied operands. | Check arithmetic operation. | Recompute if mismatch detected. | answerable | 1 | 0 | 1 | true | false | Stop after exact verification. | 6 | 72 | 9 | 6 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000005311 | math | arithmetic | mathematics | medium | medium | en | Solve the following arithmetic problem exactly: 8357 × 450 | 3760650 | Identify operation, compute exactly, verify result. | Exact arithmetic verification. | exact | passed | not_applicable | not_applicable | not_applicable | not_applicable | not_applicable | Use only supplied operands. | Check arithmetic operation. | Recompute if mismatch detected. | answerable | 1 | 0 | 1 | true | false | Stop after exact verification. | 7 | 73 | 10 | 7 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000005312 | self_correction | error_repair | mathematics | medium | medium | en | Identify and correct the numerical error in the proposed answer. | Problem: 68 + 70
Proposed answer: 139 | The proposed answer is incorrect. The correct answer is 138. | Recompute independently, compare with proposal, repair mismatch. | Independent recomputation. | exact | passed | Do not trust the proposed answer without verification. | passed | passed | answerable | 1 | 0 | 3 | true | false | Stop after independent correction. | 8 | 74 | 11 | 8 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||||||
mtd-000000005313 | consistency_check | consistency_check_analysis | general_reasoning | medium | medium | en | Check whether the supplied statements are mutually consistent. | Synthetic evaluation instance 5313. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 9 | 75 | 12 | 9 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000005314 | data_analysis | descriptive_statistics | statistics | medium | medium | en | Calculate the arithmetic mean of the supplied dataset. | Dataset: 82, 29, 15, 20, 51 | Mean = 39.4000 | Parse values, sum them, divide by count, verify. | Recompute sum and count. | exact | passed | not_applicable | passed | not_applicable | not_applicable | not_applicable | Use only supplied dataset. | Check arithmetic and denominator. | Recompute statistic. | answerable | 1 | 0 | 2 | true | false | Stop after numerical verification. | 10 | 76 | 13 | 10 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000000005315 | ambiguity | ambiguity_analysis | general_reasoning | medium | medium | en | Identify ambiguity in the request and state what information is missing. | Synthetic evaluation instance 5315. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 11 | 77 | 14 | 11 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000005316 | reasoning | comparison | general_reasoning | medium | medium | en | Compare two quantities and explain the comparison using only the provided values. | A = 9, B = 32 | B is greater than A by 23. | Compare values and compute difference. | Check comparison and difference. | exact | passed | passed | Use only supplied values. | Check comparison direction. | Recompute difference. | answerable | 1 | 0 | 2 | true | false | Stop after comparison verification. | 12 | 78 | 15 | 12 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||||||
mtd-000000005317 | research | research_methodology | computer security | medium | medium | en | Design a rigorous research procedure for investigating a question about computer security. | The procedure must distinguish evidence from assumptions and identify uncertainty. | 1. Define the research question precisely.
2. Identify measurable variables and hypotheses.
3. Select appropriate primary and secondary sources.
4. Record provenance for each important claim.
5. Compare independent evidence.
6. Identify uncertainty and alternative explanations.
7. Report conclusions separately from obs... | Define question, gather evidence, evaluate sources, quantify uncertainty. | Methodological consistency check. | methodological | not_applicable | passed | not_applicable | not_applicable | required | required | Do not invent sources or findings. | Detect unsupported claims. | Remove or qualify unsupported claims. | answerable | 0.92 | 0.08 | 4 | true | false | Stop when methodology is complete and internally coherent. | 13 | 79 | 16 | 0 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000000005318 | prompt_review | prompt_review_analysis | general_reasoning | medium | medium | en | Review the prompt for ambiguity, contradictions, and missing constraints. | Synthetic evaluation instance 5318. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 14 | 80 | 17 | 1 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000005319 | fact_check | claim_verification | general_knowledge | medium | medium | en | Assess the claim and state whether it is correct. Do not invent evidence. | Water freezes at 0°C under standard atmospheric pressure. | Assessment: Correct.
A reliable fact-check should verify the claim against an appropriate authoritative source. | Parse claim, identify factual assertion, verify against reliable evidence. | External evidence should be checked for real-world factual claims. | evidence | required | required | Never fabricate a citation. | Identify unsupported factual certainty. | Qualify or verify the claim. | answerable | 0.85 | 0.15 | 3 | true | false | Stop after evidence requirement is identified. | 15 | 81 | 18 | 2 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||||||
mtd-000000005320 | self_correction | error_repair | mathematics | medium | medium | en | Identify and correct the numerical error in the proposed answer. | Problem: 56 + 53
Proposed answer: 116 | The proposed answer is incorrect. The correct answer is 109. | Recompute independently, compare with proposal, repair mismatch. | Independent recomputation. | exact | passed | Do not trust the proposed answer without verification. | passed | passed | answerable | 1 | 0 | 3 | true | false | Stop after independent correction. | 16 | 82 | 19 | 3 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||||||
mtd-000000005321 | counterexample | counterexample_analysis | general_reasoning | medium | medium | en | Construct a counterexample that tests whether a general claim always holds. | Synthetic evaluation instance 5321. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 0 | 83 | 20 | 4 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000005322 | adversarial | adversarial_analysis | general_reasoning | medium | medium | en | Identify a plausible failure mode in the proposed reasoning. | Synthetic evaluation instance 5322. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 1 | 84 | 21 | 5 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000005323 | fact_check | claim_verification | general_knowledge | medium | medium | en | Assess the claim and state whether it is correct. Do not invent evidence. | The Earth has one natural satellite. | Assessment: Correct.
A reliable fact-check should verify the claim against an appropriate authoritative source. | Parse claim, identify factual assertion, verify against reliable evidence. | External evidence should be checked for real-world factual claims. | evidence | required | required | Never fabricate a citation. | Identify unsupported factual certainty. | Qualify or verify the claim. | answerable | 0.85 | 0.15 | 3 | true | false | Stop after evidence requirement is identified. | 2 | 85 | 22 | 6 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||||||
mtd-000000005324 | fact_check | claim_verification | general_knowledge | medium | medium | en | Assess the claim and state whether it is correct. Do not invent evidence. | The Earth has one natural satellite. | Assessment: Correct.
A reliable fact-check should verify the claim against an appropriate authoritative source. | Parse claim, identify factual assertion, verify against reliable evidence. | External evidence should be checked for real-world factual claims. | evidence | required | required | Never fabricate a citation. | Identify unsupported factual certainty. | Qualify or verify the claim. | answerable | 0.85 | 0.15 | 3 | true | false | Stop after evidence requirement is identified. | 3 | 86 | 23 | 7 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||||||
mtd-000000005325 | adversarial | adversarial_analysis | general_reasoning | medium | medium | en | Identify a plausible failure mode in the proposed reasoning. | Synthetic evaluation instance 5325. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 4 | 87 | 24 | 8 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000005326 | code | function_generation | programming | medium | medium | en | Write Python code that returns the square of an integer. | Input example: n = 56771 | def square(n):
return n * n | Identify required input/output and implement minimal function. | Static code contract check. | static_contract | not_applicable | not_applicable | not_applicable | passed | not_applicable | not_applicable | No external API assumptions. | Check function signature and operation. | Correct implementation if contract is violated. | answerable | 0.99 | 0.01 | 1 | true | false | Stop after contract verification. | 5 | 88 | 25 | 9 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000000005327 | ambiguity | ambiguity_analysis | general_reasoning | medium | medium | en | Identify ambiguity in the request and state what information is missing. | Synthetic evaluation instance 5327. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 6 | 89 | 26 | 10 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000005328 | fact_check | claim_verification | general_knowledge | medium | medium | en | Assess the claim and state whether it is correct. Do not invent evidence. | All metals are liquid at room temperature. | Assessment: Incorrect.
A reliable fact-check should verify the claim against an appropriate authoritative source. | Parse claim, identify factual assertion, verify against reliable evidence. | External evidence should be checked for real-world factual claims. | evidence | required | required | Never fabricate a citation. | Identify unsupported factual certainty. | Qualify or verify the claim. | answerable | 0.85 | 0.15 | 3 | true | false | Stop after evidence requirement is identified. | 7 | 90 | 27 | 11 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||||||
mtd-000000005329 | code | function_generation | programming | medium | medium | en | Write Python code that returns the square of an integer. | Input example: n = 15077 | def square(n):
return n * n | Identify required input/output and implement minimal function. | Static code contract check. | static_contract | not_applicable | not_applicable | not_applicable | passed | not_applicable | not_applicable | No external API assumptions. | Check function signature and operation. | Correct implementation if contract is violated. | answerable | 0.99 | 0.01 | 1 | true | false | Stop after contract verification. | 8 | 91 | 28 | 12 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000000005330 | generalization | generalization_analysis | general_reasoning | medium | medium | en | Explain how to test whether a model generalizes beyond familiar examples. | Synthetic evaluation instance 5330. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 9 | 92 | 29 | 0 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000005331 | consistency_check | consistency_check_analysis | general_reasoning | medium | medium | en | Check whether the supplied statements are mutually consistent. | Synthetic evaluation instance 5331. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 10 | 93 | 30 | 1 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000005332 | data_analysis | descriptive_statistics | statistics | medium | medium | en | Calculate the arithmetic mean of the supplied dataset. | Dataset: 60, 69, 29, 59, 29 | Mean = 49.2000 | Parse values, sum them, divide by count, verify. | Recompute sum and count. | exact | passed | not_applicable | passed | not_applicable | not_applicable | not_applicable | Use only supplied dataset. | Check arithmetic and denominator. | Recompute statistic. | answerable | 1 | 0 | 2 | true | false | Stop after numerical verification. | 11 | 94 | 0 | 2 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000000005333 | error_analysis | error_analysis_analysis | general_reasoning | medium | medium | en | Classify the likely cause of an incorrect answer and propose a repair. | Synthetic evaluation instance 5333. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 12 | 95 | 1 | 3 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000005334 | self_correction | error_repair | mathematics | medium | medium | en | Identify and correct the numerical error in the proposed answer. | Problem: 14 + 30
Proposed answer: 50 | The proposed answer is incorrect. The correct answer is 44. | Recompute independently, compare with proposal, repair mismatch. | Independent recomputation. | exact | passed | Do not trust the proposed answer without verification. | passed | passed | answerable | 1 | 0 | 3 | true | false | Stop after independent correction. | 13 | 96 | 2 | 4 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||||||
mtd-000000005335 | generalization | generalization_analysis | general_reasoning | medium | medium | en | Explain how to test whether a model generalizes beyond familiar examples. | Synthetic evaluation instance 5335. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 14 | 0 | 3 | 5 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000005336 | fact_check | claim_verification | general_knowledge | medium | medium | en | Assess the claim and state whether it is correct. Do not invent evidence. | A triangle has four sides. | Assessment: Incorrect.
A reliable fact-check should verify the claim against an appropriate authoritative source. | Parse claim, identify factual assertion, verify against reliable evidence. | External evidence should be checked for real-world factual claims. | evidence | required | required | Never fabricate a citation. | Identify unsupported factual certainty. | Qualify or verify the claim. | answerable | 0.85 | 0.15 | 3 | true | false | Stop after evidence requirement is identified. | 15 | 1 | 4 | 6 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||||||
mtd-000000005337 | code | function_generation | programming | medium | medium | en | Write Python code that returns the square of an integer. | Input example: n = 61151 | def square(n):
return n * n | Identify required input/output and implement minimal function. | Static code contract check. | static_contract | not_applicable | not_applicable | not_applicable | passed | not_applicable | not_applicable | No external API assumptions. | Check function signature and operation. | Correct implementation if contract is violated. | answerable | 0.99 | 0.01 | 1 | true | false | Stop after contract verification. | 16 | 2 | 5 | 7 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000000005338 | data_analysis | descriptive_statistics | statistics | medium | medium | en | Calculate the arithmetic mean of the supplied dataset. | Dataset: 45, 65, 79, 91, 34 | Mean = 62.8000 | Parse values, sum them, divide by count, verify. | Recompute sum and count. | exact | passed | not_applicable | passed | not_applicable | not_applicable | not_applicable | Use only supplied dataset. | Check arithmetic and denominator. | Recompute statistic. | answerable | 1 | 0 | 2 | true | false | Stop after numerical verification. | 0 | 3 | 6 | 8 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000000005339 | prompt_review | prompt_review_analysis | general_reasoning | medium | medium | en | Review the prompt for ambiguity, contradictions, and missing constraints. | Synthetic evaluation instance 5339. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 1 | 4 | 7 | 9 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000005340 | self_correction | error_repair | mathematics | hard | hard | en | Identify and correct the numerical error in the proposed answer. | Problem: 53 + 63
Proposed answer: 122 | The proposed answer is incorrect. The correct answer is 116. | Recompute independently, compare with proposal, repair mismatch. | Independent recomputation. | exact | passed | Do not trust the proposed answer without verification. | passed | passed | answerable | 1 | 0 | 3 | true | false | Stop after independent correction. | 2 | 5 | 8 | 10 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||||||
mtd-000000005341 | fact_check | claim_verification | general_knowledge | hard | hard | en | Assess the claim and state whether it is correct. Do not invent evidence. | Water freezes at 0°C under standard atmospheric pressure. | Assessment: Correct.
A reliable fact-check should verify the claim against an appropriate authoritative source. | Parse claim, identify factual assertion, verify against reliable evidence. | External evidence should be checked for real-world factual claims. | evidence | required | required | Never fabricate a citation. | Identify unsupported factual certainty. | Qualify or verify the claim. | answerable | 0.85 | 0.15 | 3 | true | false | Stop after evidence requirement is identified. | 3 | 6 | 9 | 11 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||||||
mtd-000000005342 | consistency_check | consistency_check_analysis | general_reasoning | hard | hard | en | Check whether the supplied statements are mutually consistent. | Synthetic evaluation instance 5342. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 4 | 7 | 10 | 12 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000005343 | error_analysis | error_analysis_analysis | general_reasoning | hard | hard | en | Classify the likely cause of an incorrect answer and propose a repair. | Synthetic evaluation instance 5343. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 5 | 8 | 11 | 0 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000005344 | code | function_generation | programming | hard | hard | en | Write Python code that returns the square of an integer. | Input example: n = 53708 | def square(n):
return n * n | Identify required input/output and implement minimal function. | Static code contract check. | static_contract | not_applicable | not_applicable | not_applicable | passed | not_applicable | not_applicable | No external API assumptions. | Check function signature and operation. | Correct implementation if contract is violated. | answerable | 0.99 | 0.01 | 1 | true | false | Stop after contract verification. | 6 | 9 | 12 | 1 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000000005345 | self_correction | error_repair | mathematics | hard | hard | en | Identify and correct the numerical error in the proposed answer. | Problem: 57 + 91
Proposed answer: 154 | The proposed answer is incorrect. The correct answer is 148. | Recompute independently, compare with proposal, repair mismatch. | Independent recomputation. | exact | passed | Do not trust the proposed answer without verification. | passed | passed | answerable | 1 | 0 | 3 | true | false | Stop after independent correction. | 7 | 10 | 13 | 2 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||||||
mtd-000000005346 | reasoning | comparison | general_reasoning | hard | hard | en | Compare two quantities and explain the comparison using only the provided values. | A = 86, B = 15 | A is greater than B by 71. | Compare values and compute difference. | Check comparison and difference. | exact | passed | passed | Use only supplied values. | Check comparison direction. | Recompute difference. | answerable | 1 | 0 | 2 | true | false | Stop after comparison verification. | 8 | 11 | 14 | 3 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||||||
mtd-000000005347 | generalization | generalization_analysis | general_reasoning | hard | hard | en | Explain how to test whether a model generalizes beyond familiar examples. | Synthetic evaluation instance 5347. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 9 | 12 | 15 | 4 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000005348 | generalization | generalization_analysis | general_reasoning | hard | hard | en | Explain how to test whether a model generalizes beyond familiar examples. | Synthetic evaluation instance 5348. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 10 | 13 | 16 | 5 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000005349 | reasoning | comparison | general_reasoning | hard | hard | en | Compare two quantities and explain the comparison using only the provided values. | A = 57, B = 74 | B is greater than A by 17. | Compare values and compute difference. | Check comparison and difference. | exact | passed | passed | Use only supplied values. | Check comparison direction. | Recompute difference. | answerable | 1 | 0 | 2 | true | false | Stop after comparison verification. | 11 | 14 | 17 | 6 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||||||
mtd-000000005350 | counterexample | counterexample_analysis | general_reasoning | hard | hard | en | Construct a counterexample that tests whether a general claim always holds. | Synthetic evaluation instance 5350. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 12 | 15 | 18 | 7 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000005351 | self_correction | error_repair | mathematics | hard | hard | en | Identify and correct the numerical error in the proposed answer. | Problem: 93 + 66
Proposed answer: 167 | The proposed answer is incorrect. The correct answer is 159. | Recompute independently, compare with proposal, repair mismatch. | Independent recomputation. | exact | passed | Do not trust the proposed answer without verification. | passed | passed | answerable | 1 | 0 | 3 | true | false | Stop after independent correction. | 13 | 16 | 19 | 8 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||||||
mtd-000000005352 | calibration | calibration_analysis | general_reasoning | hard | hard | en | Explain when a system should reduce confidence in its answer. | Synthetic evaluation instance 5352. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 14 | 17 | 20 | 9 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000005353 | constraint_reasoning | constraint_reasoning_analysis | general_reasoning | hard | hard | en | Solve a problem while respecting multiple explicit constraints. | Synthetic evaluation instance 5353. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 15 | 18 | 21 | 10 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000005354 | logic | deductive_reasoning | logic | hard | hard | en | Determine whether the conclusion follows from the given statements. | If x > 79, then x is positive.
x = 79.
y = 93. | Conclusion: x is positive.
Result: Yes. | Identify premises, apply implication, verify conclusion. | Logical consistency check. | symbolic | not_applicable | passed | not_applicable | not_applicable | not_applicable | not_applicable | Reason only from supplied premises. | Check whether conclusion is entailed. | Re-evaluate premises if conclusion conflicts. | answerable | 0.99 | 0.01 | 2 | true | false | Stop once entailment is established. | 16 | 19 | 22 | 11 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000000005355 | generalization | generalization_analysis | general_reasoning | hard | hard | en | Explain how to test whether a model generalizes beyond familiar examples. | Synthetic evaluation instance 5355. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 0 | 20 | 23 | 12 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000005356 | planning | planning_analysis | general_reasoning | hard | hard | en | Create a concise plan for solving a complex technical problem. | Synthetic evaluation instance 5356. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 1 | 21 | 24 | 0 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000005357 | counterexample | counterexample_analysis | general_reasoning | hard | hard | en | Construct a counterexample that tests whether a general claim always holds. | Synthetic evaluation instance 5357. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 2 | 22 | 25 | 1 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000005358 | fact_check | claim_verification | general_knowledge | hard | hard | en | Assess the claim and state whether it is correct. Do not invent evidence. | Water freezes at 0°C under standard atmospheric pressure. | Assessment: Correct.
A reliable fact-check should verify the claim against an appropriate authoritative source. | Parse claim, identify factual assertion, verify against reliable evidence. | External evidence should be checked for real-world factual claims. | evidence | required | required | Never fabricate a citation. | Identify unsupported factual certainty. | Qualify or verify the claim. | answerable | 0.85 | 0.15 | 3 | true | false | Stop after evidence requirement is identified. | 3 | 23 | 26 | 2 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||||||
mtd-000000005359 | ambiguity | ambiguity_analysis | general_reasoning | hard | hard | en | Identify ambiguity in the request and state what information is missing. | Synthetic evaluation instance 5359. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 4 | 24 | 27 | 3 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000005360 | consistency_check | consistency_check_analysis | general_reasoning | hard | hard | en | Check whether the supplied statements are mutually consistent. | Synthetic evaluation instance 5360. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 5 | 25 | 28 | 4 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000005361 | research | research_methodology | statistics | hard | hard | en | Design a rigorous research procedure for investigating a question about statistics. | The procedure must distinguish evidence from assumptions and identify uncertainty. | 1. Define the research question precisely.
2. Identify measurable variables and hypotheses.
3. Select appropriate primary and secondary sources.
4. Record provenance for each important claim.
5. Compare independent evidence.
6. Identify uncertainty and alternative explanations.
7. Report conclusions separately from obs... | Define question, gather evidence, evaluate sources, quantify uncertainty. | Methodological consistency check. | methodological | not_applicable | passed | not_applicable | not_applicable | required | required | Do not invent sources or findings. | Detect unsupported claims. | Remove or qualify unsupported claims. | answerable | 0.92 | 0.08 | 4 | true | false | Stop when methodology is complete and internally coherent. | 6 | 26 | 29 | 5 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000000005362 | planning | planning_analysis | general_reasoning | hard | hard | en | Create a concise plan for solving a complex technical problem. | Synthetic evaluation instance 5362. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 7 | 27 | 30 | 6 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000005363 | error_analysis | error_analysis_analysis | general_reasoning | hard | hard | en | Classify the likely cause of an incorrect answer and propose a repair. | Synthetic evaluation instance 5363. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 8 | 28 | 0 | 7 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000005364 | fact_check | claim_verification | general_knowledge | hard | hard | en | Assess the claim and state whether it is correct. Do not invent evidence. | All metals are liquid at room temperature. | Assessment: Incorrect.
A reliable fact-check should verify the claim against an appropriate authoritative source. | Parse claim, identify factual assertion, verify against reliable evidence. | External evidence should be checked for real-world factual claims. | evidence | required | required | Never fabricate a citation. | Identify unsupported factual certainty. | Qualify or verify the claim. | answerable | 0.85 | 0.15 | 3 | true | false | Stop after evidence requirement is identified. | 9 | 29 | 1 | 8 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||||||
mtd-000000005365 | prompt_review | prompt_review_analysis | general_reasoning | hard | hard | en | Review the prompt for ambiguity, contradictions, and missing constraints. | Synthetic evaluation instance 5365. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 10 | 30 | 2 | 9 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000005366 | error_analysis | error_analysis_analysis | general_reasoning | hard | hard | en | Classify the likely cause of an incorrect answer and propose a repair. | Synthetic evaluation instance 5366. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 11 | 31 | 3 | 10 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000005367 | prompt_review | prompt_review_analysis | general_reasoning | hard | hard | en | Review the prompt for ambiguity, contradictions, and missing constraints. | Synthetic evaluation instance 5367. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 12 | 32 | 4 | 11 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000005368 | error_analysis | error_analysis_analysis | general_reasoning | hard | hard | en | Classify the likely cause of an incorrect answer and propose a repair. | Synthetic evaluation instance 5368. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 13 | 33 | 5 | 12 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000005369 | code | function_generation | programming | hard | hard | en | Write Python code that returns the square of an integer. | Input example: n = 52198 | def square(n):
return n * n | Identify required input/output and implement minimal function. | Static code contract check. | static_contract | not_applicable | not_applicable | not_applicable | passed | not_applicable | not_applicable | No external API assumptions. | Check function signature and operation. | Correct implementation if contract is violated. | answerable | 0.99 | 0.01 | 1 | true | false | Stop after contract verification. | 14 | 34 | 6 | 0 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000000005370 | adversarial | adversarial_analysis | general_reasoning | hard | hard | en | Identify a plausible failure mode in the proposed reasoning. | Synthetic evaluation instance 5370. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 15 | 35 | 7 | 1 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000005371 | adversarial | adversarial_analysis | general_reasoning | hard | hard | en | Identify a plausible failure mode in the proposed reasoning. | Synthetic evaluation instance 5371. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 16 | 36 | 8 | 2 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000005372 | ambiguity | ambiguity_analysis | general_reasoning | hard | hard | en | Identify ambiguity in the request and state what information is missing. | Synthetic evaluation instance 5372. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 0 | 37 | 9 | 3 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000005373 | constraint_reasoning | constraint_reasoning_analysis | general_reasoning | hard | hard | en | Solve a problem while respecting multiple explicit constraints. | Synthetic evaluation instance 5373. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 1 | 38 | 10 | 4 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000005374 | adversarial | adversarial_analysis | general_reasoning | hard | hard | en | Identify a plausible failure mode in the proposed reasoning. | Synthetic evaluation instance 5374. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 2 | 39 | 11 | 5 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000005375 | adversarial | adversarial_analysis | general_reasoning | very_hard | very_hard | en | Identify a plausible failure mode in the proposed reasoning. | Synthetic evaluation instance 5375. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 3 | 40 | 12 | 6 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000005376 | adversarial | adversarial_analysis | general_reasoning | very_hard | very_hard | en | Identify a plausible failure mode in the proposed reasoning. | Synthetic evaluation instance 5376. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 4 | 41 | 13 | 7 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000005377 | consistency_check | consistency_check_analysis | general_reasoning | very_hard | very_hard | en | Check whether the supplied statements are mutually consistent. | Synthetic evaluation instance 5377. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 5 | 42 | 14 | 8 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000005378 | math | arithmetic | mathematics | very_hard | very_hard | en | Solve the following arithmetic problem exactly: 1778204 ÷ 388 | 1778204 | Identify operation, compute exactly, verify result. | Exact arithmetic verification. | exact | passed | not_applicable | not_applicable | not_applicable | not_applicable | not_applicable | Use only supplied operands. | Check arithmetic operation. | Recompute if mismatch detected. | answerable | 1 | 0 | 1 | true | false | Stop after exact verification. | 6 | 43 | 15 | 9 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000005379 | fact_check | claim_verification | general_knowledge | very_hard | very_hard | en | Assess the claim and state whether it is correct. Do not invent evidence. | A triangle has four sides. | Assessment: Incorrect.
A reliable fact-check should verify the claim against an appropriate authoritative source. | Parse claim, identify factual assertion, verify against reliable evidence. | External evidence should be checked for real-world factual claims. | evidence | required | required | Never fabricate a citation. | Identify unsupported factual certainty. | Qualify or verify the claim. | answerable | 0.85 | 0.15 | 3 | true | false | Stop after evidence requirement is identified. | 7 | 44 | 16 | 10 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||||||
mtd-000000005380 | reasoning | comparison | general_reasoning | very_hard | very_hard | en | Compare two quantities and explain the comparison using only the provided values. | A = 10, B = 76 | B is greater than A by 66. | Compare values and compute difference. | Check comparison and difference. | exact | passed | passed | Use only supplied values. | Check comparison direction. | Recompute difference. | answerable | 1 | 0 | 2 | true | false | Stop after comparison verification. | 8 | 45 | 17 | 11 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||||||
mtd-000000005381 | reasoning | comparison | general_reasoning | very_hard | very_hard | en | Compare two quantities and explain the comparison using only the provided values. | A = 52, B = 26 | A is greater than B by 26. | Compare values and compute difference. | Check comparison and difference. | exact | passed | passed | Use only supplied values. | Check comparison direction. | Recompute difference. | answerable | 1 | 0 | 2 | true | false | Stop after comparison verification. | 9 | 46 | 18 | 12 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||||||
mtd-000000005382 | self_correction | error_repair | mathematics | very_hard | very_hard | en | Identify and correct the numerical error in the proposed answer. | Problem: 11 + 99
Proposed answer: 116 | The proposed answer is incorrect. The correct answer is 110. | Recompute independently, compare with proposal, repair mismatch. | Independent recomputation. | exact | passed | Do not trust the proposed answer without verification. | passed | passed | answerable | 1 | 0 | 3 | true | false | Stop after independent correction. | 10 | 47 | 19 | 0 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||||||
mtd-000000005383 | generalization | generalization_analysis | general_reasoning | very_hard | very_hard | en | Explain how to test whether a model generalizes beyond familiar examples. | Synthetic evaluation instance 5383. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 11 | 48 | 20 | 1 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000005384 | constraint_reasoning | constraint_reasoning_analysis | general_reasoning | very_hard | very_hard | en | Solve a problem while respecting multiple explicit constraints. | Synthetic evaluation instance 5384. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 12 | 49 | 21 | 2 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000005385 | error_analysis | error_analysis_analysis | general_reasoning | very_hard | very_hard | en | Classify the likely cause of an incorrect answer and propose a repair. | Synthetic evaluation instance 5385. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 13 | 50 | 22 | 3 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000005386 | reasoning | comparison | general_reasoning | very_hard | very_hard | en | Compare two quantities and explain the comparison using only the provided values. | A = 15, B = 38 | B is greater than A by 23. | Compare values and compute difference. | Check comparison and difference. | exact | passed | passed | Use only supplied values. | Check comparison direction. | Recompute difference. | answerable | 1 | 0 | 2 | true | false | Stop after comparison verification. | 14 | 51 | 23 | 4 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||||||
mtd-000000005387 | planning | planning_analysis | general_reasoning | very_hard | very_hard | en | Create a concise plan for solving a complex technical problem. | Synthetic evaluation instance 5387. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 15 | 52 | 24 | 5 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000005388 | code | function_generation | programming | very_hard | very_hard | en | Write Python code that returns the square of an integer. | Input example: n = 852 | def square(n):
return n * n | Identify required input/output and implement minimal function. | Static code contract check. | static_contract | not_applicable | not_applicable | not_applicable | passed | not_applicable | not_applicable | No external API assumptions. | Check function signature and operation. | Correct implementation if contract is violated. | answerable | 0.99 | 0.01 | 1 | true | false | Stop after contract verification. | 16 | 53 | 25 | 6 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000000005389 | logic | deductive_reasoning | logic | very_hard | very_hard | en | Determine whether the conclusion follows from the given statements. | If x > 27, then x is positive.
x = 27.
y = 49. | Conclusion: x is positive.
Result: Yes. | Identify premises, apply implication, verify conclusion. | Logical consistency check. | symbolic | not_applicable | passed | not_applicable | not_applicable | not_applicable | not_applicable | Reason only from supplied premises. | Check whether conclusion is entailed. | Re-evaluate premises if conclusion conflicts. | answerable | 0.99 | 0.01 | 2 | true | false | Stop once entailment is established. | 0 | 54 | 26 | 7 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000000005390 | code | function_generation | programming | very_hard | very_hard | en | Write Python code that returns the square of an integer. | Input example: n = 96241 | def square(n):
return n * n | Identify required input/output and implement minimal function. | Static code contract check. | static_contract | not_applicable | not_applicable | not_applicable | passed | not_applicable | not_applicable | No external API assumptions. | Check function signature and operation. | Correct implementation if contract is violated. | answerable | 0.99 | 0.01 | 1 | true | false | Stop after contract verification. | 1 | 55 | 27 | 8 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000000005391 | consistency_check | consistency_check_analysis | general_reasoning | very_hard | very_hard | en | Check whether the supplied statements are mutually consistent. | Synthetic evaluation instance 5391. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 2 | 56 | 28 | 9 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000005392 | fact_check | claim_verification | general_knowledge | very_hard | very_hard | en | Assess the claim and state whether it is correct. Do not invent evidence. | The Earth has one natural satellite. | Assessment: Correct.
A reliable fact-check should verify the claim against an appropriate authoritative source. | Parse claim, identify factual assertion, verify against reliable evidence. | External evidence should be checked for real-world factual claims. | evidence | required | required | Never fabricate a citation. | Identify unsupported factual certainty. | Qualify or verify the claim. | answerable | 0.85 | 0.15 | 3 | true | false | Stop after evidence requirement is identified. | 3 | 57 | 29 | 10 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||||||
mtd-000000005393 | research | research_methodology | computer security | very_hard | very_hard | en | Design a rigorous research procedure for investigating a question about computer security. | The procedure must distinguish evidence from assumptions and identify uncertainty. | 1. Define the research question precisely.
2. Identify measurable variables and hypotheses.
3. Select appropriate primary and secondary sources.
4. Record provenance for each important claim.
5. Compare independent evidence.
6. Identify uncertainty and alternative explanations.
7. Report conclusions separately from obs... | Define question, gather evidence, evaluate sources, quantify uncertainty. | Methodological consistency check. | methodological | not_applicable | passed | not_applicable | not_applicable | required | required | Do not invent sources or findings. | Detect unsupported claims. | Remove or qualify unsupported claims. | answerable | 0.92 | 0.08 | 4 | true | false | Stop when methodology is complete and internally coherent. | 4 | 58 | 30 | 11 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000000005394 | logic | deductive_reasoning | logic | very_hard | very_hard | en | Determine whether the conclusion follows from the given statements. | If x > 43, then x is positive.
x = 43.
y = 55. | Conclusion: x is positive.
Result: Yes. | Identify premises, apply implication, verify conclusion. | Logical consistency check. | symbolic | not_applicable | passed | not_applicable | not_applicable | not_applicable | not_applicable | Reason only from supplied premises. | Check whether conclusion is entailed. | Re-evaluate premises if conclusion conflicts. | answerable | 0.99 | 0.01 | 2 | true | false | Stop once entailment is established. | 5 | 59 | 0 | 12 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000000005395 | error_analysis | error_analysis_analysis | general_reasoning | extreme | extreme | en | Classify the likely cause of an incorrect answer and propose a repair. | Synthetic evaluation instance 5395. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 6 | 60 | 1 | 0 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000005396 | constraint_reasoning | constraint_reasoning_analysis | general_reasoning | extreme | extreme | en | Solve a problem while respecting multiple explicit constraints. | Synthetic evaluation instance 5396. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 7 | 61 | 2 | 1 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000005397 | prompt_review | prompt_review_analysis | general_reasoning | extreme | extreme | en | Review the prompt for ambiguity, contradictions, and missing constraints. | Synthetic evaluation instance 5397. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 8 | 62 | 3 | 2 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000005398 | ambiguity | ambiguity_analysis | general_reasoning | extreme | extreme | en | Identify ambiguity in the request and state what information is missing. | Synthetic evaluation instance 5398. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 9 | 63 | 4 | 3 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000005399 | research | research_methodology | statistics | extreme | extreme | en | Design a rigorous research procedure for investigating a question about statistics. | The procedure must distinguish evidence from assumptions and identify uncertainty. | 1. Define the research question precisely.
2. Identify measurable variables and hypotheses.
3. Select appropriate primary and secondary sources.
4. Record provenance for each important claim.
5. Compare independent evidence.
6. Identify uncertainty and alternative explanations.
7. Report conclusions separately from obs... | Define question, gather evidence, evaluate sources, quantify uncertainty. | Methodological consistency check. | methodological | not_applicable | passed | not_applicable | not_applicable | required | required | Do not invent sources or findings. | Detect unsupported claims. | Remove or qualify unsupported claims. | answerable | 0.92 | 0.08 | 4 | true | false | Stop when methodology is complete and internally coherent. | 10 | 64 | 5 | 4 | 0.9 | true | CC-BY-4.0 | v1.1 |
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