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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 | error_detection stringclasses 10
values | error_repair stringclasses 10
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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-000097999600 | 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 97999600. 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 | 15 | 13 | 10 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999601 | 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 97999601. 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 | 16 | 14 | 11 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999602 | fact_check | claim_verification | general_knowledge | easy | easy | 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. | 8 | 17 | 15 | 12 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||||||
mtd-000097999603 | math | arithmetic | mathematics | easy | easy | en | Solve the following arithmetic problem exactly: 6551 × 428 | 2803828 | 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. | 9 | 18 | 16 | 0 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999604 | consistency_check | consistency_check_analysis | general_reasoning | easy | easy | en | Check whether the supplied statements are mutually consistent. | Synthetic evaluation instance 97999604. 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 | 19 | 17 | 1 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999605 | 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 97999605. 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 | 20 | 18 | 2 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999606 | counterexample | counterexample_analysis | general_reasoning | easy | easy | en | Construct a counterexample that tests whether a general claim always holds. | Synthetic evaluation instance 97999606. 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 | 21 | 19 | 3 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999607 | calibration | calibration_analysis | general_reasoning | easy | easy | en | Explain when a system should reduce confidence in its answer. | Synthetic evaluation instance 97999607. 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 | 22 | 20 | 4 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999608 | logic | deductive_reasoning | logic | easy | easy | en | Determine whether the conclusion follows from the given statements. | If x > 35, then x is positive.
x = 35.
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. | 14 | 23 | 21 | 5 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000097999609 | self_correction | error_repair | mathematics | easy | easy | en | Identify and correct the numerical error in the proposed answer. | Problem: 11 + 58
Proposed answer: 75 | The proposed answer is incorrect. The correct answer is 69. | 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. | 15 | 24 | 22 | 6 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||||||
mtd-000097999610 | logic | deductive_reasoning | logic | medium | medium | en | Determine whether the conclusion follows from the given statements. | If x > 45, then x is positive.
x = 45.
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. | 16 | 25 | 23 | 7 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000097999611 | prompt_review | prompt_review_analysis | general_reasoning | medium | medium | en | Review the prompt for ambiguity, contradictions, and missing constraints. | Synthetic evaluation instance 97999611. 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 | 26 | 24 | 8 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999612 | generalization | generalization_analysis | general_reasoning | medium | medium | en | Explain how to test whether a model generalizes beyond familiar examples. | Synthetic evaluation instance 97999612. 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 | 27 | 25 | 9 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999613 | generalization | generalization_analysis | general_reasoning | medium | medium | en | Explain how to test whether a model generalizes beyond familiar examples. | Synthetic evaluation instance 97999613. 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 | 28 | 26 | 10 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999614 | ambiguity | ambiguity_analysis | general_reasoning | medium | medium | en | Identify ambiguity in the request and state what information is missing. | Synthetic evaluation instance 97999614. 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 | 29 | 27 | 11 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999615 | instruction_following | format_constraint | general | medium | medium | en | Return the supplied number doubled. Return only the final number. | 387 | 774 | 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. | 4 | 30 | 28 | 12 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||||||
mtd-000097999616 | evidence_check | evidence_check_analysis | general_reasoning | medium | medium | en | Identify which claims require evidence before they can be asserted confidently. | Synthetic evaluation instance 97999616. 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 | 31 | 29 | 0 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999617 | consistency_check | consistency_check_analysis | general_reasoning | medium | medium | en | Check whether the supplied statements are mutually consistent. | Synthetic evaluation instance 97999617. 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 | 32 | 30 | 1 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999618 | research | research_methodology | economics | medium | medium | en | Design a rigorous research procedure for investigating a question about economics. | 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. | 7 | 33 | 0 | 2 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000097999619 | consistency_check | consistency_check_analysis | general_reasoning | medium | medium | en | Check whether the supplied statements are mutually consistent. | Synthetic evaluation instance 97999619. 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 | 34 | 1 | 3 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999620 | consistency_check | consistency_check_analysis | general_reasoning | medium | medium | en | Check whether the supplied statements are mutually consistent. | Synthetic evaluation instance 97999620. 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 | 35 | 2 | 4 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999621 | instruction_following | format_constraint | general | medium | medium | en | Return the supplied number doubled. Return only the final number. | 5658 | 11316 | 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. | 10 | 36 | 3 | 5 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||||||
mtd-000097999622 | logic | deductive_reasoning | logic | medium | medium | en | Determine whether the conclusion follows from the given statements. | If x > 79, then x is positive.
x = 79.
y = 12. | 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. | 11 | 37 | 4 | 6 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000097999623 | planning | planning_analysis | general_reasoning | medium | medium | en | Create a concise plan for solving a complex technical problem. | Synthetic evaluation instance 97999623. 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 | 38 | 5 | 7 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999624 | math | arithmetic | mathematics | medium | medium | en | Solve the following arithmetic problem exactly: 237716 ÷ 67 | 237716 | 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. | 13 | 39 | 6 | 8 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999625 | generalization | generalization_analysis | general_reasoning | medium | medium | en | Explain how to test whether a model generalizes beyond familiar examples. | Synthetic evaluation instance 97999625. 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 | 40 | 7 | 9 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999626 | instruction_following | format_constraint | general | medium | medium | en | Return the supplied number doubled. Return only the final number. | 2070 | 4140 | 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. | 15 | 41 | 8 | 10 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||||||
mtd-000097999627 | code | function_generation | programming | medium | medium | en | Write Python code that returns the square of an integer. | Input example: n = 34938 | 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 | 42 | 9 | 11 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000097999628 | 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. | 0 | 43 | 10 | 12 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||||||
mtd-000097999629 | prompt_review | prompt_review_analysis | general_reasoning | medium | medium | en | Review the prompt for ambiguity, contradictions, and missing constraints. | Synthetic evaluation instance 97999629. 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 | 44 | 11 | 0 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999630 | generalization | generalization_analysis | general_reasoning | medium | medium | en | Explain how to test whether a model generalizes beyond familiar examples. | Synthetic evaluation instance 97999630. 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 | 45 | 12 | 1 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999631 | constraint_reasoning | constraint_reasoning_analysis | general_reasoning | medium | medium | en | Solve a problem while respecting multiple explicit constraints. | Synthetic evaluation instance 97999631. 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 | 46 | 13 | 2 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999632 | logic | deductive_reasoning | logic | medium | medium | en | Determine whether the conclusion follows from the given statements. | If x > 18, then x is positive.
x = 18.
y = 4. | 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 | 47 | 14 | 3 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000097999633 | reasoning | comparison | general_reasoning | medium | medium | en | Compare two quantities and explain the comparison using only the provided values. | A = 53, B = 23 | A is greater than B by 30. | 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 | 48 | 15 | 4 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||||||
mtd-000097999634 | planning | planning_analysis | general_reasoning | medium | medium | en | Create a concise plan for solving a complex technical problem. | Synthetic evaluation instance 97999634. 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 | 49 | 16 | 5 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999635 | math | arithmetic | mathematics | medium | medium | en | Solve the following arithmetic problem exactly: 1534533 ÷ 429 | 1534533 | 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 | 50 | 17 | 6 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999636 | reasoning | comparison | general_reasoning | medium | medium | en | Compare two quantities and explain the comparison using only the provided values. | A = 56, B = 2 | A is greater than B by 54. | 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 | 51 | 18 | 7 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||||||
mtd-000097999637 | 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 97999637. 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 | 52 | 19 | 8 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999638 | constraint_reasoning | constraint_reasoning_analysis | general_reasoning | medium | medium | en | Solve a problem while respecting multiple explicit constraints. | Synthetic evaluation instance 97999638. 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 | 53 | 20 | 9 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999639 | 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 97999639. 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 | 54 | 21 | 10 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999640 | evidence_check | evidence_check_analysis | general_reasoning | hard | hard | en | Identify which claims require evidence before they can be asserted confidently. | Synthetic evaluation instance 97999640. 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 | 55 | 22 | 11 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999641 | logic | deductive_reasoning | logic | hard | hard | en | Determine whether the conclusion follows from the given statements. | If x > 93, then x is positive.
x = 93.
y = 33. | 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. | 13 | 56 | 23 | 12 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000097999642 | adversarial | adversarial_analysis | general_reasoning | hard | hard | en | Identify a plausible failure mode in the proposed reasoning. | Synthetic evaluation instance 97999642. 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 | 57 | 24 | 0 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999643 | code | function_generation | programming | hard | hard | en | Write Python code that returns the square of an integer. | Input example: n = 55759 | 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 | 58 | 25 | 1 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000097999644 | logic | deductive_reasoning | logic | hard | hard | en | Determine whether the conclusion follows from the given statements. | If x > 38, then x is positive.
x = 38.
y = 44. | 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 | 59 | 26 | 2 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000097999645 | self_correction | error_repair | mathematics | hard | hard | en | Identify and correct the numerical error in the proposed answer. | Problem: 58 + 94
Proposed answer: 161 | The proposed answer is incorrect. The correct answer is 152. | 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 | 60 | 27 | 3 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||||||
mtd-000097999646 | code | function_generation | programming | hard | hard | en | Write Python code that returns the square of an integer. | Input example: n = 28706 | 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 | 61 | 28 | 4 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000097999647 | research | research_methodology | machine learning | hard | hard | 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. | 2 | 62 | 29 | 5 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000097999648 | ambiguity | ambiguity_analysis | general_reasoning | hard | hard | en | Identify ambiguity in the request and state what information is missing. | Synthetic evaluation instance 97999648. 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 | 63 | 30 | 6 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999649 | logic | deductive_reasoning | logic | hard | hard | en | Determine whether the conclusion follows from the given statements. | If x > 10, then x is positive.
x = 10.
y = 91. | 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 | 64 | 0 | 7 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000097999650 | generalization | generalization_analysis | general_reasoning | hard | hard | en | Explain how to test whether a model generalizes beyond familiar examples. | Synthetic evaluation instance 97999650. 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 | 65 | 1 | 8 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999651 | adversarial | adversarial_analysis | general_reasoning | hard | hard | en | Identify a plausible failure mode in the proposed reasoning. | Synthetic evaluation instance 97999651. 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 | 66 | 2 | 9 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999652 | planning | planning_analysis | general_reasoning | hard | hard | en | Create a concise plan for solving a complex technical problem. | Synthetic evaluation instance 97999652. 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 | 67 | 3 | 10 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999653 | evidence_check | evidence_check_analysis | general_reasoning | hard | hard | en | Identify which claims require evidence before they can be asserted confidently. | Synthetic evaluation instance 97999653. 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 | 68 | 4 | 11 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999654 | reasoning | comparison | general_reasoning | hard | hard | en | Compare two quantities and explain the comparison using only the provided values. | A = 1, B = 60 | B is greater than A by 59. | 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 | 69 | 5 | 12 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||||||
mtd-000097999655 | counterexample | counterexample_analysis | general_reasoning | hard | hard | en | Construct a counterexample that tests whether a general claim always holds. | Synthetic evaluation instance 97999655. 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 | 70 | 6 | 0 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999656 | self_correction | error_repair | mathematics | hard | hard | en | Identify and correct the numerical error in the proposed answer. | Problem: 14 + 69
Proposed answer: 87 | The proposed answer is incorrect. The correct answer is 83. | 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. | 11 | 71 | 7 | 1 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||||||
mtd-000097999657 | math | arithmetic | mathematics | hard | hard | en | Solve the following arithmetic problem exactly: 1997996 ÷ 308 | 1997996 | 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. | 12 | 72 | 8 | 2 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999658 | evidence_check | evidence_check_analysis | general_reasoning | hard | hard | en | Identify which claims require evidence before they can be asserted confidently. | Synthetic evaluation instance 97999658. 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 | 73 | 9 | 3 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999659 | self_correction | error_repair | mathematics | hard | hard | en | Identify and correct the numerical error in the proposed answer. | Problem: 51 + 69
Proposed answer: 125 | The proposed answer is incorrect. The correct answer is 120. | 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. | 14 | 74 | 10 | 4 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||||||
mtd-000097999660 | self_correction | error_repair | mathematics | hard | hard | en | Identify and correct the numerical error in the proposed answer. | Problem: 49 + 46
Proposed answer: 104 | The proposed answer is incorrect. The correct answer is 95. | 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. | 15 | 75 | 11 | 5 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||||||
mtd-000097999661 | math | arithmetic | mathematics | hard | hard | en | Solve the following arithmetic problem exactly: 9619 × 28 | 269332 | 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 | 76 | 12 | 6 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999662 | self_correction | error_repair | mathematics | hard | hard | en | Identify and correct the numerical error in the proposed answer. | Problem: 23 + 19
Proposed answer: 43 | The proposed answer is incorrect. The correct answer is 42. | 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 | 77 | 13 | 7 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||||||
mtd-000097999663 | 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. | 1 | 78 | 14 | 8 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000097999664 | consistency_check | consistency_check_analysis | general_reasoning | hard | hard | en | Check whether the supplied statements are mutually consistent. | Synthetic evaluation instance 97999664. 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 | 79 | 15 | 9 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999665 | 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 97999665. 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 | 80 | 16 | 10 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999666 | reasoning | comparison | general_reasoning | hard | hard | en | Compare two quantities and explain the comparison using only the provided values. | A = 56, B = 44 | 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. | 4 | 81 | 17 | 11 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||||||
mtd-000097999667 | evidence_check | evidence_check_analysis | general_reasoning | hard | hard | en | Identify which claims require evidence before they can be asserted confidently. | Synthetic evaluation instance 97999667. 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 | 82 | 18 | 12 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999668 | evidence_check | evidence_check_analysis | general_reasoning | hard | hard | en | Identify which claims require evidence before they can be asserted confidently. | Synthetic evaluation instance 97999668. 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 | 83 | 19 | 0 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999669 | logic | deductive_reasoning | logic | hard | hard | en | Determine whether the conclusion follows from the given statements. | If x > 66, then x is positive.
x = 66.
y = 24. | 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. | 7 | 84 | 20 | 1 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000097999670 | consistency_check | consistency_check_analysis | general_reasoning | hard | hard | en | Check whether the supplied statements are mutually consistent. | Synthetic evaluation instance 97999670. 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 | 85 | 21 | 2 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999671 | counterexample | counterexample_analysis | general_reasoning | hard | hard | en | Construct a counterexample that tests whether a general claim always holds. | Synthetic evaluation instance 97999671. 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 | 86 | 22 | 3 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999672 | fact_check | claim_verification | general_knowledge | hard | 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. | 10 | 87 | 23 | 4 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||||||
mtd-000097999673 | logic | deductive_reasoning | logic | hard | hard | en | Determine whether the conclusion follows from the given statements. | If x > 81, then x is positive.
x = 81.
y = 5. | 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. | 11 | 88 | 24 | 5 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000097999674 | generalization | generalization_analysis | general_reasoning | hard | hard | en | Explain how to test whether a model generalizes beyond familiar examples. | Synthetic evaluation instance 97999674. 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 | 89 | 25 | 6 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999675 | counterexample | counterexample_analysis | general_reasoning | very_hard | very_hard | en | Construct a counterexample that tests whether a general claim always holds. | Synthetic evaluation instance 97999675. 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 | 90 | 26 | 7 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999676 | data_analysis | descriptive_statistics | statistics | very_hard | very_hard | en | Calculate the arithmetic mean of the supplied dataset. | Dataset: 32, 51, 36, 32, 53 | Mean = 40.8000 | 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. | 14 | 91 | 27 | 8 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000097999677 | self_correction | error_repair | mathematics | very_hard | very_hard | en | Identify and correct the numerical error in the proposed answer. | Problem: 94 + 83
Proposed answer: 183 | The proposed answer is incorrect. The correct answer is 177. | 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. | 15 | 92 | 28 | 9 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||||||
mtd-000097999678 | instruction_following | format_constraint | general | very_hard | very_hard | en | Return the supplied number doubled. Return only the final number. | 7036 | 14072 | 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. | 16 | 93 | 29 | 10 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||||||
mtd-000097999679 | logic | deductive_reasoning | logic | very_hard | very_hard | en | Determine whether the conclusion follows from the given statements. | If x > 39, then x is positive.
x = 39.
y = 52. | 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 | 94 | 30 | 11 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000097999680 | consistency_check | consistency_check_analysis | general_reasoning | very_hard | very_hard | en | Check whether the supplied statements are mutually consistent. | Synthetic evaluation instance 97999680. 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 | 95 | 0 | 12 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999681 | generalization | generalization_analysis | general_reasoning | very_hard | very_hard | en | Explain how to test whether a model generalizes beyond familiar examples. | Synthetic evaluation instance 97999681. 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 | 96 | 1 | 0 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999682 | data_analysis | descriptive_statistics | statistics | very_hard | very_hard | en | Calculate the arithmetic mean of the supplied dataset. | Dataset: 51, 80, 92, 95, 43 | Mean = 72.2000 | 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. | 3 | 0 | 2 | 1 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000097999683 | code | function_generation | programming | very_hard | very_hard | en | Write Python code that returns the square of an integer. | Input example: n = 62964 | 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. | 4 | 1 | 3 | 2 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000097999684 | constraint_reasoning | constraint_reasoning_analysis | general_reasoning | very_hard | very_hard | en | Solve a problem while respecting multiple explicit constraints. | Synthetic evaluation instance 97999684. 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 | 2 | 4 | 3 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999685 | calibration | calibration_analysis | general_reasoning | very_hard | very_hard | en | Explain when a system should reduce confidence in its answer. | Synthetic evaluation instance 97999685. 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 | 3 | 5 | 4 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999686 | consistency_check | consistency_check_analysis | general_reasoning | very_hard | very_hard | en | Check whether the supplied statements are mutually consistent. | Synthetic evaluation instance 97999686. 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 | 4 | 6 | 5 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999687 | instruction_following | format_constraint | general | very_hard | very_hard | en | Return the supplied number doubled. Return only the final number. | 3193 | 6386 | 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. | 8 | 5 | 7 | 6 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||||||
mtd-000097999688 | self_correction | error_repair | mathematics | very_hard | very_hard | en | Identify and correct the numerical error in the proposed answer. | Problem: 29 + 74
Proposed answer: 107 | The proposed answer is incorrect. The correct answer is 103. | 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 | 6 | 8 | 7 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||||||
mtd-000097999689 | generalization | generalization_analysis | general_reasoning | very_hard | very_hard | en | Explain how to test whether a model generalizes beyond familiar examples. | Synthetic evaluation instance 97999689. 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 | 7 | 9 | 8 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999690 | adversarial | adversarial_analysis | general_reasoning | very_hard | very_hard | en | Identify a plausible failure mode in the proposed reasoning. | Synthetic evaluation instance 97999690. 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 | 8 | 10 | 9 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999691 | code | function_generation | programming | very_hard | very_hard | en | Write Python code that returns the square of an integer. | Input example: n = 28190 | 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 | 9 | 11 | 10 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000097999692 | consistency_check | consistency_check_analysis | general_reasoning | very_hard | very_hard | en | Check whether the supplied statements are mutually consistent. | Synthetic evaluation instance 97999692. 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 | 10 | 12 | 11 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999693 | prompt_review | prompt_review_analysis | general_reasoning | very_hard | very_hard | en | Review the prompt for ambiguity, contradictions, and missing constraints. | Synthetic evaluation instance 97999693. 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 | 11 | 13 | 12 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999694 | 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 97999694. 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 | 12 | 14 | 0 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999695 | self_correction | error_repair | mathematics | extreme | extreme | en | Identify and correct the numerical error in the proposed answer. | Problem: 52 + 24
Proposed answer: 81 | The proposed answer is incorrect. The correct answer is 76. | 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 | 13 | 15 | 1 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||||||
mtd-000097999696 | 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. | 0 | 14 | 16 | 2 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000097999697 | 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 97999697. 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 | 15 | 17 | 3 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999698 | logic | deductive_reasoning | logic | extreme | extreme | en | Determine whether the conclusion follows from the given statements. | If x > 41, then x is positive.
x = 41.
y = 30. | 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 | 16 | 18 | 4 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000097999699 | constraint_reasoning | constraint_reasoning_analysis | general_reasoning | extreme | extreme | en | Solve a problem while respecting multiple explicit constraints. | Synthetic evaluation instance 97999699. 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 | 17 | 19 | 5 | 0.9 | true | CC-BY-4.0 | v1.1 |
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