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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
values | verification_type stringclasses 7
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values | prompt_alignment stringclasses 3
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values | consistency_check stringclasses 2
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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-000000000700 | calibration | calibration_analysis | general_reasoning | easy | easy | en | Explain when a system should reduce confidence in its answer. | Synthetic evaluation instance 700. 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 | 21 | 18 | 11 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000000701 | evidence_check | evidence_check_analysis | general_reasoning | easy | easy | en | Identify which claims require evidence before they can be asserted confidently. | Synthetic evaluation instance 701. 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 | 22 | 19 | 12 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000000702 | counterexample | counterexample_analysis | general_reasoning | easy | easy | en | Construct a counterexample that tests whether a general claim always holds. | Synthetic evaluation instance 702. 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 | 23 | 20 | 0 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000000703 | reasoning | comparison | general_reasoning | easy | easy | en | Compare two quantities and explain the comparison using only the provided values. | A = 70, B = 15 | A is greater than B by 55. | 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. | 6 | 24 | 21 | 1 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||||||
mtd-000000000704 | code | function_generation | programming | easy | easy | en | Write Python code that returns the square of an integer. | Input example: n = 85987 | 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. | 7 | 25 | 22 | 2 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000000000705 | research | research_methodology | statistics | easy | easy | 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. | 8 | 26 | 23 | 3 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000000000706 | reasoning | comparison | general_reasoning | easy | easy | en | Compare two quantities and explain the comparison using only the provided values. | A = 67, B = 32 | A is greater than B by 35. | 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 | 27 | 24 | 4 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||||||
mtd-000000000707 | generalization | generalization_analysis | general_reasoning | easy | easy | en | Explain how to test whether a model generalizes beyond familiar examples. | Synthetic evaluation instance 707. 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 | 28 | 25 | 5 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000000708 | adversarial | adversarial_analysis | general_reasoning | easy | easy | en | Identify a plausible failure mode in the proposed reasoning. | Synthetic evaluation instance 708. 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 | 29 | 26 | 6 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000000709 | constraint_reasoning | constraint_reasoning_analysis | general_reasoning | easy | easy | en | Solve a problem while respecting multiple explicit constraints. | Synthetic evaluation instance 709. 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 | 30 | 27 | 7 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000000710 | data_analysis | descriptive_statistics | statistics | medium | medium | en | Calculate the arithmetic mean of the supplied dataset. | Dataset: 32, 49, 94, 16, 52 | Mean = 48.6000 | 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. | 13 | 31 | 28 | 8 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000000000711 | adversarial | adversarial_analysis | general_reasoning | medium | medium | en | Identify a plausible failure mode in the proposed reasoning. | Synthetic evaluation instance 711. 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 | 32 | 29 | 9 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000000712 | counterexample | counterexample_analysis | general_reasoning | medium | medium | en | Construct a counterexample that tests whether a general claim always holds. | Synthetic evaluation instance 712. 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 | 33 | 30 | 10 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000000713 | research | research_methodology | biology | medium | medium | en | Design a rigorous research procedure for investigating a question about biology. | 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. | 16 | 34 | 0 | 11 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000000000714 | constraint_reasoning | constraint_reasoning_analysis | general_reasoning | medium | medium | en | Solve a problem while respecting multiple explicit constraints. | Synthetic evaluation instance 714. 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 | 35 | 1 | 12 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000000715 | constraint_reasoning | constraint_reasoning_analysis | general_reasoning | medium | medium | en | Solve a problem while respecting multiple explicit constraints. | Synthetic evaluation instance 715. 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 | 36 | 2 | 0 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000000716 | self_correction | error_repair | mathematics | medium | medium | en | Identify and correct the numerical error in the proposed answer. | Problem: 66 + 96
Proposed answer: 167 | The proposed answer is incorrect. The correct answer is 162. | 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 | 37 | 3 | 1 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||||||
mtd-000000000717 | generalization | generalization_analysis | general_reasoning | medium | medium | en | Explain how to test whether a model generalizes beyond familiar examples. | Synthetic evaluation instance 717. 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 | 38 | 4 | 2 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000000718 | generalization | generalization_analysis | general_reasoning | medium | medium | en | Explain how to test whether a model generalizes beyond familiar examples. | Synthetic evaluation instance 718. 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 | 39 | 5 | 3 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000000719 | consistency_check | consistency_check_analysis | general_reasoning | medium | medium | en | Check whether the supplied statements are mutually consistent. | Synthetic evaluation instance 719. 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 | 40 | 6 | 4 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000000720 | adversarial | adversarial_analysis | general_reasoning | medium | medium | en | Identify a plausible failure mode in the proposed reasoning. | Synthetic evaluation instance 720. 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 | 41 | 7 | 5 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000000721 | calibration | calibration_analysis | general_reasoning | medium | medium | en | Explain when a system should reduce confidence in its answer. | Synthetic evaluation instance 721. 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 | 42 | 8 | 6 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000000722 | ambiguity | ambiguity_analysis | general_reasoning | medium | medium | en | Identify ambiguity in the request and state what information is missing. | Synthetic evaluation instance 722. 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 | 43 | 9 | 7 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000000723 | self_correction | error_repair | mathematics | medium | medium | en | Identify and correct the numerical error in the proposed answer. | Problem: 11 + 41
Proposed answer: 60 | The proposed answer is incorrect. The correct answer is 52. | 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. | 9 | 44 | 10 | 8 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||||||
mtd-000000000724 | generalization | generalization_analysis | general_reasoning | medium | medium | en | Explain how to test whether a model generalizes beyond familiar examples. | Synthetic evaluation instance 724. 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 | 45 | 11 | 9 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000000725 | code | function_generation | programming | medium | medium | en | Write Python code that returns the square of an integer. | Input example: n = 16656 | 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. | 11 | 46 | 12 | 10 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000000000726 | reasoning | comparison | general_reasoning | medium | medium | en | Compare two quantities and explain the comparison using only the provided values. | A = 30, B = 46 | B is greater than A by 16. | 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 | 47 | 13 | 11 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||||||
mtd-000000000727 | instruction_following | format_constraint | general | medium | medium | en | Return the supplied number doubled. Return only the final number. | 5313 | 10626 | Identify transformation and output constraint. | Check transformation and requested format. | constraint | passed | passed | passed | No unsupported content. | answerable | 1 | 0 | 1 | true | false | Stop when requested format is satisfied. | 13 | 48 | 14 | 12 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||||||
mtd-000000000728 | code | function_generation | programming | medium | medium | en | Write Python code that returns the square of an integer. | Input example: n = 1976 | 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 | 49 | 15 | 0 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000000000729 | counterexample | counterexample_analysis | general_reasoning | medium | medium | en | Construct a counterexample that tests whether a general claim always holds. | Synthetic evaluation instance 729. 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 | 50 | 16 | 1 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000000730 | planning | planning_analysis | general_reasoning | medium | medium | en | Create a concise plan for solving a complex technical problem. | Synthetic evaluation instance 730. 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 | 51 | 17 | 2 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000000731 | research | research_methodology | machine learning | medium | medium | en | Design a rigorous research procedure for investigating a question about machine learning. | 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. | 0 | 52 | 18 | 3 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000000000732 | adversarial | adversarial_analysis | general_reasoning | medium | medium | en | Identify a plausible failure mode in the proposed reasoning. | Synthetic evaluation instance 732. 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 | 53 | 19 | 4 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000000733 | code | function_generation | programming | medium | medium | en | Write Python code that returns the square of an integer. | Input example: n = 86709 | 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. | 2 | 54 | 20 | 5 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000000000734 | 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 734. 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 | 55 | 21 | 6 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000000735 | calibration | calibration_analysis | general_reasoning | medium | medium | en | Explain when a system should reduce confidence in its answer. | Synthetic evaluation instance 735. 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 | 56 | 22 | 7 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000000736 | reasoning | comparison | general_reasoning | medium | medium | en | Compare two quantities and explain the comparison using only the provided values. | A = 18, B = 86 | B is greater than A by 68. | 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. | 5 | 57 | 23 | 8 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||||||
mtd-000000000737 | constraint_reasoning | constraint_reasoning_analysis | general_reasoning | medium | medium | en | Solve a problem while respecting multiple explicit constraints. | Synthetic evaluation instance 737. 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 | 58 | 24 | 9 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000000738 | 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. | 7 | 59 | 25 | 10 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||||||
mtd-000000000739 | adversarial | adversarial_analysis | general_reasoning | medium | medium | en | Identify a plausible failure mode in the proposed reasoning. | Synthetic evaluation instance 739. 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 | 60 | 26 | 11 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000000740 | logic | deductive_reasoning | logic | hard | hard | en | Determine whether the conclusion follows from the given statements. | If x > 14, then x is positive.
x = 14.
y = 51. | 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. | 9 | 61 | 27 | 12 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000000000741 | logic | deductive_reasoning | logic | hard | hard | en | Determine whether the conclusion follows from the given statements. | If x > 13, then x is positive.
x = 13.
y = 9. | 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. | 10 | 62 | 28 | 0 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000000000742 | code | function_generation | programming | hard | hard | en | Write Python code that returns the square of an integer. | Input example: n = 32418 | 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. | 11 | 63 | 29 | 1 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000000000743 | instruction_following | format_constraint | general | hard | hard | en | Return the supplied number doubled. Return only the final number. | 6944 | 13888 | Identify transformation and output constraint. | Check transformation and requested format. | constraint | passed | passed | passed | No unsupported content. | answerable | 1 | 0 | 1 | true | false | Stop when requested format is satisfied. | 12 | 64 | 30 | 2 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||||||
mtd-000000000744 | 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 744. 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 | 65 | 0 | 3 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000000745 | code | function_generation | programming | hard | hard | en | Write Python code that returns the square of an integer. | Input example: n = 44960 | 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 | 66 | 1 | 4 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000000000746 | adversarial | adversarial_analysis | general_reasoning | hard | hard | en | Identify a plausible failure mode in the proposed reasoning. | Synthetic evaluation instance 746. 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 | 67 | 2 | 5 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000000747 | math | arithmetic | mathematics | hard | hard | en | Solve the following arithmetic problem exactly: 830382 - 688108 | 142274 | 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 | 68 | 3 | 6 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000000748 | evidence_check | evidence_check_analysis | general_reasoning | hard | hard | en | Identify which claims require evidence before they can be asserted confidently. | Synthetic evaluation instance 748. 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 | 69 | 4 | 7 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000000749 | generalization | generalization_analysis | general_reasoning | hard | hard | en | Explain how to test whether a model generalizes beyond familiar examples. | Synthetic evaluation instance 749. 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 | 70 | 5 | 8 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000000750 | code | function_generation | programming | hard | hard | en | Write Python code that returns the square of an integer. | Input example: n = 96679 | 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. | 2 | 71 | 6 | 9 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000000000751 | consistency_check | consistency_check_analysis | general_reasoning | hard | hard | en | Check whether the supplied statements are mutually consistent. | Synthetic evaluation instance 751. 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 | 72 | 7 | 10 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000000752 | math | arithmetic | mathematics | hard | hard | en | Solve the following arithmetic problem exactly: 19406 + 186857 | 206263 | 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. | 4 | 73 | 8 | 11 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000000753 | prompt_review | prompt_review_analysis | general_reasoning | hard | hard | en | Review the prompt for ambiguity, contradictions, and missing constraints. | Synthetic evaluation instance 753. 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 | 74 | 9 | 12 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000000754 | calibration | calibration_analysis | general_reasoning | hard | hard | en | Explain when a system should reduce confidence in its answer. | Synthetic evaluation instance 754. 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 | 75 | 10 | 0 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000000755 | prompt_review | prompt_review_analysis | general_reasoning | hard | hard | en | Review the prompt for ambiguity, contradictions, and missing constraints. | Synthetic evaluation instance 755. 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 | 76 | 11 | 1 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000000756 | adversarial | adversarial_analysis | general_reasoning | hard | hard | en | Identify a plausible failure mode in the proposed reasoning. | Synthetic evaluation instance 756. 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 | 77 | 12 | 2 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000000757 | instruction_following | format_constraint | general | hard | hard | en | Return the supplied number doubled. Return only the final number. | 6704 | 13408 | Identify transformation and output constraint. | Check transformation and requested format. | constraint | passed | passed | passed | No unsupported content. | answerable | 1 | 0 | 1 | true | false | Stop when requested format is satisfied. | 9 | 78 | 13 | 3 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||||||
mtd-000000000758 | code | function_generation | programming | hard | hard | en | Write Python code that returns the square of an integer. | Input example: n = 57905 | 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. | 10 | 79 | 14 | 4 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000000000759 | constraint_reasoning | constraint_reasoning_analysis | general_reasoning | hard | hard | en | Solve a problem while respecting multiple explicit constraints. | Synthetic evaluation instance 759. 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 | 80 | 15 | 5 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000000760 | code | function_generation | programming | hard | hard | en | Write Python code that returns the square of an integer. | Input example: n = 82457 | 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. | 12 | 81 | 16 | 6 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000000000761 | constraint_reasoning | constraint_reasoning_analysis | general_reasoning | hard | hard | en | Solve a problem while respecting multiple explicit constraints. | Synthetic evaluation instance 761. 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 | 82 | 17 | 7 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000000762 | code | function_generation | programming | hard | hard | en | Write Python code that returns the square of an integer. | Input example: n = 46854 | 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 | 83 | 18 | 8 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000000000763 | code | function_generation | programming | hard | hard | en | Write Python code that returns the square of an integer. | Input example: n = 19584 | 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. | 15 | 84 | 19 | 9 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000000000764 | counterexample | counterexample_analysis | general_reasoning | hard | hard | en | Construct a counterexample that tests whether a general claim always holds. | Synthetic evaluation instance 764. 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 | 85 | 20 | 10 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000000765 | ambiguity | ambiguity_analysis | general_reasoning | hard | hard | en | Identify ambiguity in the request and state what information is missing. | Synthetic evaluation instance 765. 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 | 86 | 21 | 11 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000000766 | calibration | calibration_analysis | general_reasoning | hard | hard | en | Explain when a system should reduce confidence in its answer. | Synthetic evaluation instance 766. 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 | 87 | 22 | 12 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000000767 | evidence_check | evidence_check_analysis | general_reasoning | hard | hard | en | Identify which claims require evidence before they can be asserted confidently. | Synthetic evaluation instance 767. 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 | 88 | 23 | 0 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000000768 | math | arithmetic | mathematics | hard | hard | en | Solve the following arithmetic problem exactly: 937024 + 751563 | 1688587 | 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. | 3 | 89 | 24 | 1 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000000769 | generalization | generalization_analysis | general_reasoning | hard | hard | en | Explain how to test whether a model generalizes beyond familiar examples. | Synthetic evaluation instance 769. 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 | 90 | 25 | 2 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000000770 | evidence_check | evidence_check_analysis | general_reasoning | hard | hard | en | Identify which claims require evidence before they can be asserted confidently. | Synthetic evaluation instance 770. 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 | 91 | 26 | 3 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000000771 | reasoning | comparison | general_reasoning | hard | hard | en | Compare two quantities and explain the comparison using only the provided values. | A = 99, B = 33 | A is greater than B 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. | 6 | 92 | 27 | 4 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||||||
mtd-000000000772 | code | function_generation | programming | hard | hard | en | Write Python code that returns the square of an integer. | Input example: n = 3446 | 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. | 7 | 93 | 28 | 5 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000000000773 | reasoning | comparison | general_reasoning | hard | hard | en | Compare two quantities and explain the comparison using only the provided values. | A = 34, B = 72 | B is greater than A by 38. | 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 | 94 | 29 | 6 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||||||
mtd-000000000774 | self_correction | error_repair | mathematics | hard | hard | en | Identify and correct the numerical error in the proposed answer. | Problem: 77 + 97
Proposed answer: 178 | The proposed answer is incorrect. The correct answer is 174. | 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. | 9 | 95 | 30 | 7 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||||||
mtd-000000000775 | self_correction | error_repair | mathematics | very_hard | very_hard | en | Identify and correct the numerical error in the proposed answer. | Problem: 40 + 19
Proposed answer: 67 | The proposed answer is incorrect. The correct answer is 59. | 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 | 96 | 0 | 8 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||||||
mtd-000000000776 | research | research_methodology | climate science | very_hard | very_hard | en | Design a rigorous research procedure for investigating a question about climate science. | 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. | 11 | 0 | 1 | 9 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000000000777 | ambiguity | ambiguity_analysis | general_reasoning | very_hard | very_hard | en | Identify ambiguity in the request and state what information is missing. | Synthetic evaluation instance 777. 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 | 1 | 2 | 10 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000000778 | constraint_reasoning | constraint_reasoning_analysis | general_reasoning | very_hard | very_hard | en | Solve a problem while respecting multiple explicit constraints. | Synthetic evaluation instance 778. 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 | 2 | 3 | 11 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000000779 | evidence_check | evidence_check_analysis | general_reasoning | very_hard | very_hard | en | Identify which claims require evidence before they can be asserted confidently. | Synthetic evaluation instance 779. 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 | 3 | 4 | 12 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000000780 | consistency_check | consistency_check_analysis | general_reasoning | very_hard | very_hard | en | Check whether the supplied statements are mutually consistent. | Synthetic evaluation instance 780. 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 | 4 | 5 | 0 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000000781 | calibration | calibration_analysis | general_reasoning | very_hard | very_hard | en | Explain when a system should reduce confidence in its answer. | Synthetic evaluation instance 781. 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 | 5 | 6 | 1 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000000782 | self_correction | error_repair | mathematics | very_hard | very_hard | en | Identify and correct the numerical error in the proposed answer. | Problem: 99 + 32
Proposed answer: 139 | The proposed answer is incorrect. The correct answer is 131. | 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. | 0 | 6 | 7 | 2 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||||||
mtd-000000000783 | generalization | generalization_analysis | general_reasoning | very_hard | very_hard | en | Explain how to test whether a model generalizes beyond familiar examples. | Synthetic evaluation instance 783. 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 | 7 | 8 | 3 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000000784 | data_analysis | descriptive_statistics | statistics | very_hard | very_hard | en | Calculate the arithmetic mean of the supplied dataset. | Dataset: 75, 88, 25, 39, 60 | Mean = 57.4000 | 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. | 2 | 8 | 9 | 4 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000000000785 | reasoning | comparison | general_reasoning | very_hard | very_hard | en | Compare two quantities and explain the comparison using only the provided values. | A = 14, B = 2 | A is greater than B by 12. | 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. | 3 | 9 | 10 | 5 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||||||
mtd-000000000786 | logic | deductive_reasoning | logic | very_hard | very_hard | en | Determine whether the conclusion follows from the given statements. | If x > 41, then x is positive.
x = 41.
y = 60. | 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. | 4 | 10 | 11 | 6 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000000000787 | adversarial | adversarial_analysis | general_reasoning | very_hard | very_hard | en | Identify a plausible failure mode in the proposed reasoning. | Synthetic evaluation instance 787. 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 | 11 | 12 | 7 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000000788 | reasoning | comparison | general_reasoning | very_hard | very_hard | en | Compare two quantities and explain the comparison using only the provided values. | A = 95, B = 10 | A is greater than B by 85. | 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. | 6 | 12 | 13 | 8 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||||||
mtd-000000000789 | evidence_check | evidence_check_analysis | general_reasoning | very_hard | very_hard | en | Identify which claims require evidence before they can be asserted confidently. | Synthetic evaluation instance 789. 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 | 13 | 14 | 9 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000000790 | research | research_methodology | materials science | very_hard | very_hard | en | Design a rigorous research procedure for investigating a question about materials science. | 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. | 8 | 14 | 15 | 10 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000000000791 | evidence_check | evidence_check_analysis | general_reasoning | very_hard | very_hard | en | Identify which claims require evidence before they can be asserted confidently. | Synthetic evaluation instance 791. 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 | 15 | 16 | 11 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000000792 | planning | planning_analysis | general_reasoning | very_hard | very_hard | en | Create a concise plan for solving a complex technical problem. | Synthetic evaluation instance 792. 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 | 16 | 17 | 12 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000000793 | evidence_check | evidence_check_analysis | general_reasoning | very_hard | very_hard | en | Identify which claims require evidence before they can be asserted confidently. | Synthetic evaluation instance 793. 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 | 17 | 18 | 0 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000000794 | adversarial | adversarial_analysis | general_reasoning | very_hard | very_hard | en | Identify a plausible failure mode in the proposed reasoning. | Synthetic evaluation instance 794. 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 | 18 | 19 | 1 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000000795 | research | research_methodology | climate science | extreme | extreme | en | Design a rigorous research procedure for investigating a question about climate science. | 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 | 19 | 20 | 2 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000000000796 | 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 796. 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 | 20 | 21 | 3 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000000797 | calibration | calibration_analysis | general_reasoning | extreme | extreme | en | Explain when a system should reduce confidence in its answer. | Synthetic evaluation instance 797. 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 | 21 | 22 | 4 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000000798 | evidence_check | evidence_check_analysis | general_reasoning | extreme | extreme | en | Identify which claims require evidence before they can be asserted confidently. | Synthetic evaluation instance 798. 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 | 22 | 23 | 5 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000000000799 | evidence_check | evidence_check_analysis | general_reasoning | extreme | extreme | en | Identify which claims require evidence before they can be asserted confidently. | Synthetic evaluation instance 799. 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 | 23 | 24 | 6 | 0.9 | true | CC-BY-4.0 | v1.1 |
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