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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-000097999500 | ambiguity | ambiguity_analysis | general_reasoning | easy | easy | en | Identify ambiguity in the request and state what information is missing. | Synthetic evaluation instance 97999500. 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 | 12 | 6 | 1 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999501 | logic | deductive_reasoning | logic | easy | easy | en | Determine whether the conclusion follows from the given statements. | If x > 5, then x is positive.
x = 5.
y = 85. | 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 | 13 | 7 | 2 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000097999502 | fact_check | claim_verification | general_knowledge | easy | easy | en | Assess the claim and state whether it is correct. Do not invent evidence. | Water freezes at 0°C under standard atmospheric pressure. | Assessment: Correct.
A reliable fact-check should verify the claim against an appropriate authoritative source. | Parse claim, identify factual assertion, verify against reliable evidence. | External evidence should be checked for real-world factual claims. | evidence | required | required | Never fabricate a citation. | Identify unsupported factual certainty. | Qualify or verify the claim. | answerable | 0.85 | 0.15 | 3 | true | false | Stop after evidence requirement is identified. | 10 | 14 | 8 | 3 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||||||
mtd-000097999503 | constraint_reasoning | constraint_reasoning_analysis | general_reasoning | easy | easy | en | Solve a problem while respecting multiple explicit constraints. | Synthetic evaluation instance 97999503. 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 | 15 | 9 | 4 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999504 | research | research_methodology | machine learning | easy | easy | 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. | 12 | 16 | 10 | 5 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000097999505 | generalization | generalization_analysis | general_reasoning | easy | easy | en | Explain how to test whether a model generalizes beyond familiar examples. | Synthetic evaluation instance 97999505. 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 | 17 | 11 | 6 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999506 | consistency_check | consistency_check_analysis | general_reasoning | easy | easy | en | Check whether the supplied statements are mutually consistent. | Synthetic evaluation instance 97999506. 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 | 18 | 12 | 7 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999507 | generalization | generalization_analysis | general_reasoning | easy | easy | en | Explain how to test whether a model generalizes beyond familiar examples. | Synthetic evaluation instance 97999507. 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 | 19 | 13 | 8 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999508 | logic | deductive_reasoning | logic | easy | easy | en | Determine whether the conclusion follows from the given statements. | If x > 67, then x is positive.
x = 67.
y = 88. | 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 | 20 | 14 | 9 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000097999509 | generalization | generalization_analysis | general_reasoning | easy | easy | en | Explain how to test whether a model generalizes beyond familiar examples. | Synthetic evaluation instance 97999509. 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 | 21 | 15 | 10 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999510 | constraint_reasoning | constraint_reasoning_analysis | general_reasoning | medium | medium | en | Solve a problem while respecting multiple explicit constraints. | Synthetic evaluation instance 97999510. 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 | 22 | 16 | 11 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999511 | evidence_check | evidence_check_analysis | general_reasoning | medium | medium | en | Identify which claims require evidence before they can be asserted confidently. | Synthetic evaluation instance 97999511. 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 | 23 | 17 | 12 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999512 | calibration | calibration_analysis | general_reasoning | medium | medium | en | Explain when a system should reduce confidence in its answer. | Synthetic evaluation instance 97999512. 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 | 24 | 18 | 0 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999513 | logic | deductive_reasoning | logic | medium | medium | en | Determine whether the conclusion follows from the given statements. | If x > 40, then x is positive.
x = 40.
y = 69. | 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 | 25 | 19 | 1 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000097999514 | constraint_reasoning | constraint_reasoning_analysis | general_reasoning | medium | medium | en | Solve a problem while respecting multiple explicit constraints. | Synthetic evaluation instance 97999514. 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 | 26 | 20 | 2 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999515 | self_correction | error_repair | mathematics | medium | medium | en | Identify and correct the numerical error in the proposed answer. | Problem: 64 + 64
Proposed answer: 134 | The proposed answer is incorrect. The correct answer is 128. | 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. | 6 | 27 | 21 | 3 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||||||
mtd-000097999516 | code | function_generation | programming | medium | medium | en | Write Python code that returns the square of an integer. | Input example: n = 49718 | 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 | 28 | 22 | 4 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000097999517 | adversarial | adversarial_analysis | general_reasoning | medium | medium | en | Identify a plausible failure mode in the proposed reasoning. | Synthetic evaluation instance 97999517. 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 | 29 | 23 | 5 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999518 | prompt_review | prompt_review_analysis | general_reasoning | medium | medium | en | Review the prompt for ambiguity, contradictions, and missing constraints. | Synthetic evaluation instance 97999518. 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 | 30 | 24 | 6 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999519 | 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 97999519. 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 | 31 | 25 | 7 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999520 | constraint_reasoning | constraint_reasoning_analysis | general_reasoning | medium | medium | en | Solve a problem while respecting multiple explicit constraints. | Synthetic evaluation instance 97999520. 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 | 32 | 26 | 8 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999521 | constraint_reasoning | constraint_reasoning_analysis | general_reasoning | medium | medium | en | Solve a problem while respecting multiple explicit constraints. | Synthetic evaluation instance 97999521. 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 | 33 | 27 | 9 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999522 | code | function_generation | programming | medium | medium | en | Write Python code that returns the square of an integer. | Input example: n = 78713 | 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. | 13 | 34 | 28 | 10 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000097999523 | research | research_methodology | materials science | medium | medium | 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. | 14 | 35 | 29 | 11 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000097999524 | planning | planning_analysis | general_reasoning | medium | medium | en | Create a concise plan for solving a complex technical problem. | Synthetic evaluation instance 97999524. 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 | 36 | 30 | 12 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999525 | math | arithmetic | mathematics | medium | medium | en | Solve the following arithmetic problem exactly: 399863 + 433808 | 833671 | 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 | 37 | 0 | 0 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999526 | counterexample | counterexample_analysis | general_reasoning | medium | medium | en | Construct a counterexample that tests whether a general claim always holds. | Synthetic evaluation instance 97999526. 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 | 38 | 1 | 1 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999527 | research | research_methodology | climate science | medium | medium | 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. | 1 | 39 | 2 | 2 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000097999528 | self_correction | error_repair | mathematics | medium | medium | en | Identify and correct the numerical error in the proposed answer. | Problem: 95 + 89
Proposed answer: 187 | The proposed answer is incorrect. The correct answer is 184. | 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 | 40 | 3 | 3 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||||||
mtd-000097999529 | prompt_review | prompt_review_analysis | general_reasoning | medium | medium | en | Review the prompt for ambiguity, contradictions, and missing constraints. | Synthetic evaluation instance 97999529. 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 | 41 | 4 | 4 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999530 | instruction_following | format_constraint | general | medium | medium | en | Return the supplied number doubled. Return only the final number. | 5153 | 10306 | 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 | 42 | 5 | 5 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||||||
mtd-000097999531 | logic | deductive_reasoning | logic | medium | medium | en | Determine whether the conclusion follows from the given statements. | If x > 14, then x is positive.
x = 14.
y = 38. | Conclusion: x is positive.
Result: Yes. | Identify premises, apply implication, verify conclusion. | Logical consistency check. | symbolic | not_applicable | passed | not_applicable | not_applicable | not_applicable | not_applicable | Reason only from supplied premises. | Check whether conclusion is entailed. | Re-evaluate premises if conclusion conflicts. | answerable | 0.99 | 0.01 | 2 | true | false | Stop once entailment is established. | 5 | 43 | 6 | 6 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000097999532 | ambiguity | ambiguity_analysis | general_reasoning | medium | medium | en | Identify ambiguity in the request and state what information is missing. | Synthetic evaluation instance 97999532. 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 | 44 | 7 | 7 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999533 | math | arithmetic | mathematics | medium | medium | en | Solve the following arithmetic problem exactly: 1421995 ÷ 191 | 1421995 | 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 | 45 | 8 | 8 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999534 | consistency_check | consistency_check_analysis | general_reasoning | medium | medium | en | Check whether the supplied statements are mutually consistent. | Synthetic evaluation instance 97999534. 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 | 46 | 9 | 9 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999535 | data_analysis | descriptive_statistics | statistics | medium | medium | en | Calculate the arithmetic mean of the supplied dataset. | Dataset: 67, 94, 83, 59, 38 | Mean = 68.2000 | 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. | 9 | 47 | 10 | 10 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000097999536 | ambiguity | ambiguity_analysis | general_reasoning | medium | medium | en | Identify ambiguity in the request and state what information is missing. | Synthetic evaluation instance 97999536. 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 | 48 | 11 | 11 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999537 | generalization | generalization_analysis | general_reasoning | medium | medium | en | Explain how to test whether a model generalizes beyond familiar examples. | Synthetic evaluation instance 97999537. 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 | 49 | 12 | 12 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999538 | instruction_following | format_constraint | general | medium | medium | en | Return the supplied number doubled. Return only the final number. | 8354 | 16708 | 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 | 50 | 13 | 0 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||||||
mtd-000097999539 | counterexample | counterexample_analysis | general_reasoning | medium | medium | en | Construct a counterexample that tests whether a general claim always holds. | Synthetic evaluation instance 97999539. 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 | 51 | 14 | 1 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999540 | self_correction | error_repair | mathematics | hard | hard | en | Identify and correct the numerical error in the proposed answer. | Problem: 44 + 64
Proposed answer: 113 | The proposed answer is incorrect. The correct answer is 108. | 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 | 52 | 15 | 2 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||||||
mtd-000097999541 | research | research_methodology | climate science | hard | 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. | 15 | 53 | 16 | 3 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000097999542 | ambiguity | ambiguity_analysis | general_reasoning | hard | hard | en | Identify ambiguity in the request and state what information is missing. | Synthetic evaluation instance 97999542. 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 | 54 | 17 | 4 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999543 | consistency_check | consistency_check_analysis | general_reasoning | hard | hard | en | Check whether the supplied statements are mutually consistent. | Synthetic evaluation instance 97999543. 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 | 55 | 18 | 5 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999544 | instruction_following | format_constraint | general | hard | hard | en | Return the supplied number doubled. Return only the final number. | 4531 | 9062 | 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. | 1 | 56 | 19 | 6 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||||||
mtd-000097999545 | ambiguity | ambiguity_analysis | general_reasoning | hard | hard | en | Identify ambiguity in the request and state what information is missing. | Synthetic evaluation instance 97999545. 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 | 57 | 20 | 7 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999546 | consistency_check | consistency_check_analysis | general_reasoning | hard | hard | en | Check whether the supplied statements are mutually consistent. | Synthetic evaluation instance 97999546. 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 | 58 | 21 | 8 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999547 | ambiguity | ambiguity_analysis | general_reasoning | hard | hard | en | Identify ambiguity in the request and state what information is missing. | Synthetic evaluation instance 97999547. 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 | 59 | 22 | 9 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999548 | generalization | generalization_analysis | general_reasoning | hard | hard | en | Explain how to test whether a model generalizes beyond familiar examples. | Synthetic evaluation instance 97999548. 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 | 60 | 23 | 10 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999549 | fact_check | claim_verification | general_knowledge | hard | hard | en | Assess the claim and state whether it is correct. Do not invent evidence. | The Earth has one natural satellite. | Assessment: Correct.
A reliable fact-check should verify the claim against an appropriate authoritative source. | Parse claim, identify factual assertion, verify against reliable evidence. | External evidence should be checked for real-world factual claims. | evidence | required | required | Never fabricate a citation. | Identify unsupported factual certainty. | Qualify or verify the claim. | answerable | 0.85 | 0.15 | 3 | true | false | Stop after evidence requirement is identified. | 6 | 61 | 24 | 11 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||||||
mtd-000097999550 | calibration | calibration_analysis | general_reasoning | hard | hard | en | Explain when a system should reduce confidence in its answer. | Synthetic evaluation instance 97999550. 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 | 62 | 25 | 12 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999551 | generalization | generalization_analysis | general_reasoning | hard | hard | en | Explain how to test whether a model generalizes beyond familiar examples. | Synthetic evaluation instance 97999551. 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 | 63 | 26 | 0 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999552 | prompt_review | prompt_review_analysis | general_reasoning | hard | hard | en | Review the prompt for ambiguity, contradictions, and missing constraints. | Synthetic evaluation instance 97999552. 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 | 64 | 27 | 1 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999553 | evidence_check | evidence_check_analysis | general_reasoning | hard | hard | en | Identify which claims require evidence before they can be asserted confidently. | Synthetic evaluation instance 97999553. 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 | 65 | 28 | 2 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999554 | adversarial | adversarial_analysis | general_reasoning | hard | hard | en | Identify a plausible failure mode in the proposed reasoning. | Synthetic evaluation instance 97999554. 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 | 66 | 29 | 3 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999555 | planning | planning_analysis | general_reasoning | hard | hard | en | Create a concise plan for solving a complex technical problem. | Synthetic evaluation instance 97999555. 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 | 67 | 30 | 4 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999556 | instruction_following | format_constraint | general | hard | hard | en | Return the supplied number doubled. Return only the final number. | 4317 | 8634 | 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 | 68 | 0 | 5 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||||||
mtd-000097999557 | 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 97999557. 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 | 69 | 1 | 6 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999558 | instruction_following | format_constraint | general | hard | hard | en | Return the supplied number doubled. Return only the final number. | 8483 | 16966 | 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 | 70 | 2 | 7 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||||||
mtd-000097999559 | data_analysis | descriptive_statistics | statistics | hard | hard | en | Calculate the arithmetic mean of the supplied dataset. | Dataset: 11, 92, 47, 17, 23 | Mean = 38.0000 | 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. | 16 | 71 | 3 | 8 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000097999560 | 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 97999560. 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 | 72 | 4 | 9 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999561 | consistency_check | consistency_check_analysis | general_reasoning | hard | hard | en | Check whether the supplied statements are mutually consistent. | Synthetic evaluation instance 97999561. 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 | 73 | 5 | 10 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999562 | adversarial | adversarial_analysis | general_reasoning | hard | hard | en | Identify a plausible failure mode in the proposed reasoning. | Synthetic evaluation instance 97999562. 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 | 74 | 6 | 11 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999563 | planning | planning_analysis | general_reasoning | hard | hard | en | Create a concise plan for solving a complex technical problem. | Synthetic evaluation instance 97999563. 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 | 75 | 7 | 12 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999564 | generalization | generalization_analysis | general_reasoning | hard | hard | en | Explain how to test whether a model generalizes beyond familiar examples. | Synthetic evaluation instance 97999564. 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 | 76 | 8 | 0 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999565 | math | arithmetic | mathematics | hard | hard | en | Solve the following arithmetic problem exactly: 8608 × 171 | 1471968 | 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. | 5 | 77 | 9 | 1 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999566 | code | function_generation | programming | hard | hard | en | Write Python code that returns the square of an integer. | Input example: n = 88636 | def square(n):
return n * n | Identify required input/output and implement minimal function. | Static code contract check. | static_contract | not_applicable | not_applicable | not_applicable | passed | not_applicable | not_applicable | No external API assumptions. | Check function signature and operation. | Correct implementation if contract is violated. | answerable | 0.99 | 0.01 | 1 | true | false | Stop after contract verification. | 6 | 78 | 10 | 2 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000097999567 | fact_check | claim_verification | general_knowledge | hard | hard | en | Assess the claim and state whether it is correct. Do not invent evidence. | Water freezes at 0°C under standard atmospheric pressure. | Assessment: Correct.
A reliable fact-check should verify the claim against an appropriate authoritative source. | Parse claim, identify factual assertion, verify against reliable evidence. | External evidence should be checked for real-world factual claims. | evidence | required | required | Never fabricate a citation. | Identify unsupported factual certainty. | Qualify or verify the claim. | answerable | 0.85 | 0.15 | 3 | true | false | Stop after evidence requirement is identified. | 7 | 79 | 11 | 3 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||||||
mtd-000097999568 | 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 97999568. 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 | 80 | 12 | 4 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999569 | data_analysis | descriptive_statistics | statistics | hard | hard | en | Calculate the arithmetic mean of the supplied dataset. | Dataset: 95, 20, 18, 74, 61 | Mean = 53.6000 | 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. | 9 | 81 | 13 | 5 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000097999570 | data_analysis | descriptive_statistics | statistics | hard | hard | en | Calculate the arithmetic mean of the supplied dataset. | Dataset: 31, 72, 55, 18, 88 | Mean = 52.8000 | 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. | 10 | 82 | 14 | 6 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000097999571 | consistency_check | consistency_check_analysis | general_reasoning | hard | hard | en | Check whether the supplied statements are mutually consistent. | Synthetic evaluation instance 97999571. 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 | 83 | 15 | 7 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999572 | 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. | 12 | 84 | 16 | 8 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||||||
mtd-000097999573 | self_correction | error_repair | mathematics | hard | hard | en | Identify and correct the numerical error in the proposed answer. | Problem: 10 + 21
Proposed answer: 32 | The proposed answer is incorrect. The correct answer is 31. | Recompute independently, compare with proposal, repair mismatch. | Independent recomputation. | exact | passed | Do not trust the proposed answer without verification. | passed | passed | answerable | 1 | 0 | 3 | true | false | Stop after independent correction. | 13 | 85 | 17 | 9 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||||||
mtd-000097999574 | reasoning | comparison | general_reasoning | hard | hard | en | Compare two quantities and explain the comparison using only the provided values. | A = 24, B = 75 | B is greater than A by 51. | Compare values and compute difference. | Check comparison and difference. | exact | passed | passed | Use only supplied values. | Check comparison direction. | Recompute difference. | answerable | 1 | 0 | 2 | true | false | Stop after comparison verification. | 14 | 86 | 18 | 10 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||||||
mtd-000097999575 | instruction_following | format_constraint | general | very_hard | very_hard | en | Return the supplied number doubled. Return only the final number. | 2478 | 4956 | 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 | 87 | 19 | 11 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||||||
mtd-000097999576 | math | arithmetic | mathematics | very_hard | very_hard | en | Solve the following arithmetic problem exactly: 2456538 ÷ 322 | 2456538 | 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 | 88 | 20 | 12 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999577 | counterexample | counterexample_analysis | general_reasoning | very_hard | very_hard | en | Construct a counterexample that tests whether a general claim always holds. | Synthetic evaluation instance 97999577. 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 | 89 | 21 | 0 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999578 | data_analysis | descriptive_statistics | statistics | very_hard | very_hard | en | Calculate the arithmetic mean of the supplied dataset. | Dataset: 95, 24, 83, 96, 12 | Mean = 62.0000 | 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. | 1 | 90 | 22 | 1 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000097999579 | adversarial | adversarial_analysis | general_reasoning | very_hard | very_hard | en | Identify a plausible failure mode in the proposed reasoning. | Synthetic evaluation instance 97999579. 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 | 91 | 23 | 2 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999580 | planning | planning_analysis | general_reasoning | very_hard | very_hard | en | Create a concise plan for solving a complex technical problem. | Synthetic evaluation instance 97999580. 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 | 92 | 24 | 3 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999581 | consistency_check | consistency_check_analysis | general_reasoning | very_hard | very_hard | en | Check whether the supplied statements are mutually consistent. | Synthetic evaluation instance 97999581. 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 | 93 | 25 | 4 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999582 | logic | deductive_reasoning | logic | very_hard | very_hard | en | Determine whether the conclusion follows from the given statements. | If x > 65, then x is positive.
x = 65.
y = 79. | Conclusion: x is positive.
Result: Yes. | Identify premises, apply implication, verify conclusion. | Logical consistency check. | symbolic | not_applicable | passed | not_applicable | not_applicable | not_applicable | not_applicable | Reason only from supplied premises. | Check whether conclusion is entailed. | Re-evaluate premises if conclusion conflicts. | answerable | 0.99 | 0.01 | 2 | true | false | Stop once entailment is established. | 5 | 94 | 26 | 5 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000097999583 | prompt_review | prompt_review_analysis | general_reasoning | very_hard | very_hard | en | Review the prompt for ambiguity, contradictions, and missing constraints. | Synthetic evaluation instance 97999583. 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 | 95 | 27 | 6 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999584 | counterexample | counterexample_analysis | general_reasoning | very_hard | very_hard | en | Construct a counterexample that tests whether a general claim always holds. | Synthetic evaluation instance 97999584. 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 | 96 | 28 | 7 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999585 | planning | planning_analysis | general_reasoning | very_hard | very_hard | en | Create a concise plan for solving a complex technical problem. | Synthetic evaluation instance 97999585. 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 | 0 | 29 | 8 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999586 | fact_check | claim_verification | general_knowledge | very_hard | very_hard | en | Assess the claim and state whether it is correct. Do not invent evidence. | All metals are liquid at room temperature. | Assessment: Incorrect.
A reliable fact-check should verify the claim against an appropriate authoritative source. | Parse claim, identify factual assertion, verify against reliable evidence. | External evidence should be checked for real-world factual claims. | evidence | required | required | Never fabricate a citation. | Identify unsupported factual certainty. | Qualify or verify the claim. | answerable | 0.85 | 0.15 | 3 | true | false | Stop after evidence requirement is identified. | 9 | 1 | 30 | 9 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||||||
mtd-000097999587 | code | function_generation | programming | very_hard | very_hard | en | Write Python code that returns the square of an integer. | Input example: n = 51732 | 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 | 2 | 0 | 10 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000097999588 | 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 97999588. 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 | 3 | 1 | 11 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999589 | 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 97999589. 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 | 4 | 2 | 12 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999590 | self_correction | error_repair | mathematics | very_hard | very_hard | en | Identify and correct the numerical error in the proposed answer. | Problem: 17 + 56
Proposed answer: 77 | The proposed answer is incorrect. The correct answer is 73. | Recompute independently, compare with proposal, repair mismatch. | Independent recomputation. | exact | passed | Do not trust the proposed answer without verification. | passed | passed | answerable | 1 | 0 | 3 | true | false | Stop after independent correction. | 13 | 5 | 3 | 0 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||||||
mtd-000097999591 | math | arithmetic | mathematics | very_hard | very_hard | en | Solve the following arithmetic problem exactly: 746567 - 411125 | 335442 | 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. | 14 | 6 | 4 | 1 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999592 | instruction_following | format_constraint | general | very_hard | very_hard | en | Return the supplied number doubled. Return only the final number. | 3980 | 7960 | 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 | 7 | 5 | 2 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||||||
mtd-000097999593 | self_correction | error_repair | mathematics | very_hard | very_hard | en | Identify and correct the numerical error in the proposed answer. | Problem: 16 + 87
Proposed answer: 109 | 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. | 16 | 8 | 6 | 3 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||||||
mtd-000097999594 | research | research_methodology | economics | very_hard | very_hard | 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. | 0 | 9 | 7 | 4 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000097999595 | self_correction | error_repair | mathematics | extreme | extreme | en | Identify and correct the numerical error in the proposed answer. | Problem: 74 + 41
Proposed answer: 123 | The proposed answer is incorrect. The correct answer is 115. | 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. | 1 | 10 | 8 | 5 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||||||
mtd-000097999596 | planning | planning_analysis | general_reasoning | extreme | extreme | en | Create a concise plan for solving a complex technical problem. | Synthetic evaluation instance 97999596. 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 | 11 | 9 | 6 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999597 | research | research_methodology | computer security | extreme | extreme | en | Design a rigorous research procedure for investigating a question about computer security. | The procedure must distinguish evidence from assumptions and identify uncertainty. | 1. Define the research question precisely.
2. Identify measurable variables and hypotheses.
3. Select appropriate primary and secondary sources.
4. Record provenance for each important claim.
5. Compare independent evidence.
6. Identify uncertainty and alternative explanations.
7. Report conclusions separately from obs... | Define question, gather evidence, evaluate sources, quantify uncertainty. | Methodological consistency check. | methodological | not_applicable | passed | not_applicable | not_applicable | required | required | Do not invent sources or findings. | Detect unsupported claims. | Remove or qualify unsupported claims. | answerable | 0.92 | 0.08 | 4 | true | false | Stop when methodology is complete and internally coherent. | 3 | 12 | 10 | 7 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000097999598 | self_correction | error_repair | mathematics | extreme | extreme | en | Identify and correct the numerical error in the proposed answer. | Problem: 85 + 59
Proposed answer: 153 | The proposed answer is incorrect. The correct answer is 144. | 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. | 4 | 13 | 11 | 8 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||||||
mtd-000097999599 | ambiguity | ambiguity_analysis | general_reasoning | extreme | extreme | en | Identify ambiguity in the request and state what information is missing. | Synthetic evaluation instance 97999599. 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 | 14 | 12 | 9 | 0.9 | true | CC-BY-4.0 | v1.1 |
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