id
stringlengths
16
16
task_family
stringclasses
20 values
task_type
stringclasses
20 values
domain
stringclasses
14 values
difficulty
stringclasses
5 values
difficulty_label
stringclasses
5 values
language
stringclasses
1 value
instruction
stringlengths
54
90
context
stringlengths
0
82
response
stringlengths
1
330
analysis_plan
stringclasses
10 values
verification
stringclasses
10 values
verification_type
stringclasses
7 values
prompt_review
stringclasses
2 values
prompt_alignment
stringclasses
3 values
constraint_check
stringclasses
3 values
consistency_check
stringclasses
2 values
math_check
stringclasses
3 values
logic_check
stringclasses
3 values
counterexample_check
stringclasses
2 values
data_analysis_check
stringclasses
3 values
code_check
stringclasses
3 values
evidence_check
stringclasses
3 values
source_check
stringclasses
3 values
hallucination_control
stringclasses
10 values
error_detection
stringclasses
10 values
error_repair
stringclasses
10 values
answerability
stringclasses
2 values
confidence
float32
0.85
1
uncertainty
float32
0
0.15
reasoning_depth
int16
1
4
minimal_sufficient_reasoning
bool
1 class
unnecessary_reasoning
bool
1 class
stop_condition
stringclasses
10 values
surface_variation
int32
0
16
numeric_variation
int32
0
96
structure_variation
int32
0
30
ood_style
int32
0
12
quality_score
float32
0.9
0.9
synthetic
bool
1 class
license
stringclasses
1 value
generator_version
stringclasses
1 value
mtd-000097998300
fact_check
claim_verification
general_knowledge
easy
easy
en
Assess the claim and state whether it is correct. Do not invent evidence.
A triangle has four sides.
Assessment: Incorrect. A reliable fact-check should verify the claim against an appropriate authoritative source.
Parse claim, identify factual assertion, verify against reliable evidence.
External evidence should be checked for real-world factual claims.
evidence
required
required
Never fabricate a citation.
Identify unsupported factual certainty.
Qualify or verify the claim.
answerable
0.85
0.15
3
true
false
Stop after evidence requirement is identified.
15
73
15
10
0.9
true
CC-BY-4.0
v1.1
mtd-000097998301
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 97998301. 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
74
16
11
0.9
true
CC-BY-4.0
v1.1
mtd-000097998302
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 97998302. 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
75
17
12
0.9
true
CC-BY-4.0
v1.1
mtd-000097998303
evidence_check
evidence_check_analysis
general_reasoning
easy
easy
en
Identify which claims require evidence before they can be asserted confidently.
Synthetic evaluation instance 97998303. 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
76
18
0
0.9
true
CC-BY-4.0
v1.1
mtd-000097998304
instruction_following
format_constraint
general
easy
easy
en
Return the supplied number doubled. Return only the final number.
6591
13182
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.
2
77
19
1
0.9
true
CC-BY-4.0
v1.1
mtd-000097998305
planning
planning_analysis
general_reasoning
easy
easy
en
Create a concise plan for solving a complex technical problem.
Synthetic evaluation instance 97998305. 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
78
20
2
0.9
true
CC-BY-4.0
v1.1
mtd-000097998306
calibration
calibration_analysis
general_reasoning
easy
easy
en
Explain when a system should reduce confidence in its answer.
Synthetic evaluation instance 97998306. 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
79
21
3
0.9
true
CC-BY-4.0
v1.1
mtd-000097998307
data_analysis
descriptive_statistics
statistics
easy
easy
en
Calculate the arithmetic mean of the supplied dataset.
Dataset: 69, 54, 3, 53, 99
Mean = 55.6000
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.
5
80
22
4
0.9
true
CC-BY-4.0
v1.1
mtd-000097998308
counterexample
counterexample_analysis
general_reasoning
easy
easy
en
Construct a counterexample that tests whether a general claim always holds.
Synthetic evaluation instance 97998308. 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
81
23
5
0.9
true
CC-BY-4.0
v1.1
mtd-000097998309
calibration
calibration_analysis
general_reasoning
easy
easy
en
Explain when a system should reduce confidence in its answer.
Synthetic evaluation instance 97998309. 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
82
24
6
0.9
true
CC-BY-4.0
v1.1
mtd-000097998310
research
research_methodology
machine learning
medium
medium
en
Design a rigorous research procedure for investigating a question about machine learning.
The procedure must distinguish evidence from assumptions and identify uncertainty.
1. Define the research question precisely. 2. Identify measurable variables and hypotheses. 3. Select appropriate primary and secondary sources. 4. Record provenance for each important claim. 5. Compare independent evidence. 6. Identify uncertainty and alternative explanations. 7. Report conclusions separately from obs...
Define question, gather evidence, evaluate sources, quantify uncertainty.
Methodological consistency check.
methodological
not_applicable
passed
not_applicable
not_applicable
required
required
Do not invent sources or findings.
Detect unsupported claims.
Remove or qualify unsupported claims.
answerable
0.92
0.08
4
true
false
Stop when methodology is complete and internally coherent.
8
83
25
7
0.9
true
CC-BY-4.0
v1.1
mtd-000097998311
prompt_review
prompt_review_analysis
general_reasoning
medium
medium
en
Review the prompt for ambiguity, contradictions, and missing constraints.
Synthetic evaluation instance 97998311. 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
84
26
8
0.9
true
CC-BY-4.0
v1.1
mtd-000097998312
self_correction
error_repair
mathematics
medium
medium
en
Identify and correct the numerical error in the proposed answer.
Problem: 97 + 52 Proposed answer: 151
The proposed answer is incorrect. The correct answer is 149.
Recompute independently, compare with proposal, repair mismatch.
Independent recomputation.
exact
passed
Do not trust the proposed answer without verification.
passed
passed
answerable
1
0
3
true
false
Stop after independent correction.
10
85
27
9
0.9
true
CC-BY-4.0
v1.1
mtd-000097998313
self_correction
error_repair
mathematics
medium
medium
en
Identify and correct the numerical error in the proposed answer.
Problem: 65 + 74 Proposed answer: 140
The proposed answer is incorrect. The correct answer is 139.
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
86
28
10
0.9
true
CC-BY-4.0
v1.1
mtd-000097998314
adversarial
adversarial_analysis
general_reasoning
medium
medium
en
Identify a plausible failure mode in the proposed reasoning.
Synthetic evaluation instance 97998314. 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
87
29
11
0.9
true
CC-BY-4.0
v1.1
mtd-000097998315
calibration
calibration_analysis
general_reasoning
medium
medium
en
Explain when a system should reduce confidence in its answer.
Synthetic evaluation instance 97998315. 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
88
30
12
0.9
true
CC-BY-4.0
v1.1
mtd-000097998316
data_analysis
descriptive_statistics
statistics
medium
medium
en
Calculate the arithmetic mean of the supplied dataset.
Dataset: 49, 92, 31, 82, 17
Mean = 54.2000
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.
14
89
0
0
0.9
true
CC-BY-4.0
v1.1
mtd-000097998317
calibration
calibration_analysis
general_reasoning
medium
medium
en
Explain when a system should reduce confidence in its answer.
Synthetic evaluation instance 97998317. 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
90
1
1
0.9
true
CC-BY-4.0
v1.1
mtd-000097998318
constraint_reasoning
constraint_reasoning_analysis
general_reasoning
medium
medium
en
Solve a problem while respecting multiple explicit constraints.
Synthetic evaluation instance 97998318. 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
91
2
2
0.9
true
CC-BY-4.0
v1.1
mtd-000097998319
planning
planning_analysis
general_reasoning
medium
medium
en
Create a concise plan for solving a complex technical problem.
Synthetic evaluation instance 97998319. 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
92
3
3
0.9
true
CC-BY-4.0
v1.1
mtd-000097998320
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.
1
93
4
4
0.9
true
CC-BY-4.0
v1.1
mtd-000097998321
generalization
generalization_analysis
general_reasoning
medium
medium
en
Explain how to test whether a model generalizes beyond familiar examples.
Synthetic evaluation instance 97998321. 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
94
5
5
0.9
true
CC-BY-4.0
v1.1
mtd-000097998322
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.
3
95
6
6
0.9
true
CC-BY-4.0
v1.1
mtd-000097998323
calibration
calibration_analysis
general_reasoning
medium
medium
en
Explain when a system should reduce confidence in its answer.
Synthetic evaluation instance 97998323. 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
96
7
7
0.9
true
CC-BY-4.0
v1.1
mtd-000097998324
reasoning
comparison
general_reasoning
medium
medium
en
Compare two quantities and explain the comparison using only the provided values.
A = 37, B = 40
B is greater than A by 3.
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
0
8
8
0.9
true
CC-BY-4.0
v1.1
mtd-000097998325
math
arithmetic
mathematics
medium
medium
en
Solve the following arithmetic problem exactly: 891474 - 442489
448985
Identify operation, compute exactly, verify result.
Exact arithmetic verification.
exact
passed
not_applicable
not_applicable
not_applicable
not_applicable
not_applicable
Use only supplied operands.
Check arithmetic operation.
Recompute if mismatch detected.
answerable
1
0
1
true
false
Stop after exact verification.
6
1
9
9
0.9
true
CC-BY-4.0
v1.1
mtd-000097998326
counterexample
counterexample_analysis
general_reasoning
medium
medium
en
Construct a counterexample that tests whether a general claim always holds.
Synthetic evaluation instance 97998326. 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
2
10
10
0.9
true
CC-BY-4.0
v1.1
mtd-000097998327
consistency_check
consistency_check_analysis
general_reasoning
medium
medium
en
Check whether the supplied statements are mutually consistent.
Synthetic evaluation instance 97998327. 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
3
11
11
0.9
true
CC-BY-4.0
v1.1
mtd-000097998328
adversarial
adversarial_analysis
general_reasoning
medium
medium
en
Identify a plausible failure mode in the proposed reasoning.
Synthetic evaluation instance 97998328. 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
4
12
12
0.9
true
CC-BY-4.0
v1.1
mtd-000097998329
reasoning
comparison
general_reasoning
medium
medium
en
Compare two quantities and explain the comparison using only the provided values.
A = 70, B = 99
B is greater than A by 29.
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.
10
5
13
0
0.9
true
CC-BY-4.0
v1.1
mtd-000097998330
calibration
calibration_analysis
general_reasoning
medium
medium
en
Explain when a system should reduce confidence in its answer.
Synthetic evaluation instance 97998330. 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
6
14
1
0.9
true
CC-BY-4.0
v1.1
mtd-000097998331
planning
planning_analysis
general_reasoning
medium
medium
en
Create a concise plan for solving a complex technical problem.
Synthetic evaluation instance 97998331. 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
7
15
2
0.9
true
CC-BY-4.0
v1.1
mtd-000097998332
constraint_reasoning
constraint_reasoning_analysis
general_reasoning
medium
medium
en
Solve a problem while respecting multiple explicit constraints.
Synthetic evaluation instance 97998332. 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
8
16
3
0.9
true
CC-BY-4.0
v1.1
mtd-000097998333
ambiguity
ambiguity_analysis
general_reasoning
medium
medium
en
Identify ambiguity in the request and state what information is missing.
Synthetic evaluation instance 97998333. 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
9
17
4
0.9
true
CC-BY-4.0
v1.1
mtd-000097998334
fact_check
claim_verification
general_knowledge
medium
medium
en
Assess the claim and state whether it is correct. Do not invent evidence.
A triangle has four sides.
Assessment: Incorrect. A reliable fact-check should verify the claim against an appropriate authoritative source.
Parse claim, identify factual assertion, verify against reliable evidence.
External evidence should be checked for real-world factual claims.
evidence
required
required
Never fabricate a citation.
Identify unsupported factual certainty.
Qualify or verify the claim.
answerable
0.85
0.15
3
true
false
Stop after evidence requirement is identified.
15
10
18
5
0.9
true
CC-BY-4.0
v1.1
mtd-000097998335
calibration
calibration_analysis
general_reasoning
medium
medium
en
Explain when a system should reduce confidence in its answer.
Synthetic evaluation instance 97998335. 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
11
19
6
0.9
true
CC-BY-4.0
v1.1
mtd-000097998336
consistency_check
consistency_check_analysis
general_reasoning
medium
medium
en
Check whether the supplied statements are mutually consistent.
Synthetic evaluation instance 97998336. 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
12
20
7
0.9
true
CC-BY-4.0
v1.1
mtd-000097998337
counterexample
counterexample_analysis
general_reasoning
medium
medium
en
Construct a counterexample that tests whether a general claim always holds.
Synthetic evaluation instance 97998337. 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
13
21
8
0.9
true
CC-BY-4.0
v1.1
mtd-000097998338
planning
planning_analysis
general_reasoning
medium
medium
en
Create a concise plan for solving a complex technical problem.
Synthetic evaluation instance 97998338. 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
14
22
9
0.9
true
CC-BY-4.0
v1.1
mtd-000097998339
generalization
generalization_analysis
general_reasoning
medium
medium
en
Explain how to test whether a model generalizes beyond familiar examples.
Synthetic evaluation instance 97998339. 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
15
23
10
0.9
true
CC-BY-4.0
v1.1
mtd-000097998340
ambiguity
ambiguity_analysis
general_reasoning
hard
hard
en
Identify ambiguity in the request and state what information is missing.
Synthetic evaluation instance 97998340. 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
16
24
11
0.9
true
CC-BY-4.0
v1.1
mtd-000097998341
reasoning
comparison
general_reasoning
hard
hard
en
Compare two quantities and explain the comparison using only the provided values.
A = 83, B = 28
A is greater than B by 55.
Compare values and compute difference.
Check comparison and difference.
exact
passed
passed
Use only supplied values.
Check comparison direction.
Recompute difference.
answerable
1
0
2
true
false
Stop after comparison verification.
5
17
25
12
0.9
true
CC-BY-4.0
v1.1
mtd-000097998342
planning
planning_analysis
general_reasoning
hard
hard
en
Create a concise plan for solving a complex technical problem.
Synthetic evaluation instance 97998342. 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
18
26
0
0.9
true
CC-BY-4.0
v1.1
mtd-000097998343
math
arithmetic
mathematics
hard
hard
en
Solve the following arithmetic problem exactly: 1032 × 423
436536
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
19
27
1
0.9
true
CC-BY-4.0
v1.1
mtd-000097998344
planning
planning_analysis
general_reasoning
hard
hard
en
Create a concise plan for solving a complex technical problem.
Synthetic evaluation instance 97998344. 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
20
28
2
0.9
true
CC-BY-4.0
v1.1
mtd-000097998345
prompt_review
prompt_review_analysis
general_reasoning
hard
hard
en
Review the prompt for ambiguity, contradictions, and missing constraints.
Synthetic evaluation instance 97998345. 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
21
29
3
0.9
true
CC-BY-4.0
v1.1
mtd-000097998346
calibration
calibration_analysis
general_reasoning
hard
hard
en
Explain when a system should reduce confidence in its answer.
Synthetic evaluation instance 97998346. 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
22
30
4
0.9
true
CC-BY-4.0
v1.1
mtd-000097998347
ambiguity
ambiguity_analysis
general_reasoning
hard
hard
en
Identify ambiguity in the request and state what information is missing.
Synthetic evaluation instance 97998347. 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
23
0
5
0.9
true
CC-BY-4.0
v1.1
mtd-000097998348
logic
deductive_reasoning
logic
hard
hard
en
Determine whether the conclusion follows from the given statements.
If x > 20, then x is positive. x = 20. y = 80.
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.
12
24
1
6
0.9
true
CC-BY-4.0
v1.1
mtd-000097998349
evidence_check
evidence_check_analysis
general_reasoning
hard
hard
en
Identify which claims require evidence before they can be asserted confidently.
Synthetic evaluation instance 97998349. 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
25
2
7
0.9
true
CC-BY-4.0
v1.1
mtd-000097998350
evidence_check
evidence_check_analysis
general_reasoning
hard
hard
en
Identify which claims require evidence before they can be asserted confidently.
Synthetic evaluation instance 97998350. 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
26
3
8
0.9
true
CC-BY-4.0
v1.1
mtd-000097998351
consistency_check
consistency_check_analysis
general_reasoning
hard
hard
en
Check whether the supplied statements are mutually consistent.
Synthetic evaluation instance 97998351. 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
27
4
9
0.9
true
CC-BY-4.0
v1.1
mtd-000097998352
calibration
calibration_analysis
general_reasoning
hard
hard
en
Explain when a system should reduce confidence in its answer.
Synthetic evaluation instance 97998352. 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
28
5
10
0.9
true
CC-BY-4.0
v1.1
mtd-000097998353
calibration
calibration_analysis
general_reasoning
hard
hard
en
Explain when a system should reduce confidence in its answer.
Synthetic evaluation instance 97998353. 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
29
6
11
0.9
true
CC-BY-4.0
v1.1
mtd-000097998354
research
research_methodology
economics
hard
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.
1
30
7
12
0.9
true
CC-BY-4.0
v1.1
mtd-000097998355
math
arithmetic
mathematics
hard
hard
en
Solve the following arithmetic problem exactly: 5257 × 178
935746
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.
2
31
8
0
0.9
true
CC-BY-4.0
v1.1
mtd-000097998356
math
arithmetic
mathematics
hard
hard
en
Solve the following arithmetic problem exactly: 8749 × 366
3202134
Identify operation, compute exactly, verify result.
Exact arithmetic verification.
exact
passed
not_applicable
not_applicable
not_applicable
not_applicable
not_applicable
Use only supplied operands.
Check arithmetic operation.
Recompute if mismatch detected.
answerable
1
0
1
true
false
Stop after exact verification.
3
32
9
1
0.9
true
CC-BY-4.0
v1.1
mtd-000097998357
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 = 89.
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
33
10
2
0.9
true
CC-BY-4.0
v1.1
mtd-000097998358
planning
planning_analysis
general_reasoning
hard
hard
en
Create a concise plan for solving a complex technical problem.
Synthetic evaluation instance 97998358. 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
34
11
3
0.9
true
CC-BY-4.0
v1.1
mtd-000097998359
data_analysis
descriptive_statistics
statistics
hard
hard
en
Calculate the arithmetic mean of the supplied dataset.
Dataset: 5, 17, 57, 73, 14
Mean = 33.2000
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.
6
35
12
4
0.9
true
CC-BY-4.0
v1.1
mtd-000097998360
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.
7
36
13
5
0.9
true
CC-BY-4.0
v1.1
mtd-000097998361
prompt_review
prompt_review_analysis
general_reasoning
hard
hard
en
Review the prompt for ambiguity, contradictions, and missing constraints.
Synthetic evaluation instance 97998361. 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
37
14
6
0.9
true
CC-BY-4.0
v1.1
mtd-000097998362
self_correction
error_repair
mathematics
hard
hard
en
Identify and correct the numerical error in the proposed answer.
Problem: 95 + 99 Proposed answer: 200
The proposed answer is incorrect. The correct answer is 194.
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
38
15
7
0.9
true
CC-BY-4.0
v1.1
mtd-000097998363
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.
10
39
16
8
0.9
true
CC-BY-4.0
v1.1
mtd-000097998364
constraint_reasoning
constraint_reasoning_analysis
general_reasoning
hard
hard
en
Solve a problem while respecting multiple explicit constraints.
Synthetic evaluation instance 97998364. 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
40
17
9
0.9
true
CC-BY-4.0
v1.1
mtd-000097998365
logic
deductive_reasoning
logic
hard
hard
en
Determine whether the conclusion follows from the given statements.
If x > 90, then x is positive. x = 90. y = 64.
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.
12
41
18
10
0.9
true
CC-BY-4.0
v1.1
mtd-000097998366
reasoning
comparison
general_reasoning
hard
hard
en
Compare two quantities and explain the comparison using only the provided values.
A = 13, B = 94
B is greater than A by 81.
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.
13
42
19
11
0.9
true
CC-BY-4.0
v1.1
mtd-000097998367
counterexample
counterexample_analysis
general_reasoning
hard
hard
en
Construct a counterexample that tests whether a general claim always holds.
Synthetic evaluation instance 97998367. 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
43
20
12
0.9
true
CC-BY-4.0
v1.1
mtd-000097998368
research
research_methodology
astronomy
hard
hard
en
Design a rigorous research procedure for investigating a question about astronomy.
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
44
21
0
0.9
true
CC-BY-4.0
v1.1
mtd-000097998369
ambiguity
ambiguity_analysis
general_reasoning
hard
hard
en
Identify ambiguity in the request and state what information is missing.
Synthetic evaluation instance 97998369. 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
45
22
1
0.9
true
CC-BY-4.0
v1.1
mtd-000097998370
logic
deductive_reasoning
logic
hard
hard
en
Determine whether the conclusion follows from the given statements.
If x > 15, then x is positive. x = 15. y = 7.
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
46
23
2
0.9
true
CC-BY-4.0
v1.1
mtd-000097998371
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 97998371. 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
47
24
3
0.9
true
CC-BY-4.0
v1.1
mtd-000097998372
constraint_reasoning
constraint_reasoning_analysis
general_reasoning
hard
hard
en
Solve a problem while respecting multiple explicit constraints.
Synthetic evaluation instance 97998372. 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
48
25
4
0.9
true
CC-BY-4.0
v1.1
mtd-000097998373
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.
3
49
26
5
0.9
true
CC-BY-4.0
v1.1
mtd-000097998374
counterexample
counterexample_analysis
general_reasoning
hard
hard
en
Construct a counterexample that tests whether a general claim always holds.
Synthetic evaluation instance 97998374. 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
50
27
6
0.9
true
CC-BY-4.0
v1.1
mtd-000097998375
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 97998375. 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
51
28
7
0.9
true
CC-BY-4.0
v1.1
mtd-000097998376
self_correction
error_repair
mathematics
very_hard
very_hard
en
Identify and correct the numerical error in the proposed answer.
Problem: 42 + 82 Proposed answer: 125
The proposed answer is incorrect. The correct answer is 124.
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
52
29
8
0.9
true
CC-BY-4.0
v1.1
mtd-000097998377
ambiguity
ambiguity_analysis
general_reasoning
very_hard
very_hard
en
Identify ambiguity in the request and state what information is missing.
Synthetic evaluation instance 97998377. 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
53
30
9
0.9
true
CC-BY-4.0
v1.1
mtd-000097998378
counterexample
counterexample_analysis
general_reasoning
very_hard
very_hard
en
Construct a counterexample that tests whether a general claim always holds.
Synthetic evaluation instance 97998378. 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
54
0
10
0.9
true
CC-BY-4.0
v1.1
mtd-000097998379
fact_check
claim_verification
general_knowledge
very_hard
very_hard
en
Assess the claim and state whether it is correct. Do not invent evidence.
The Earth has one natural satellite.
Assessment: Correct. A reliable fact-check should verify the claim against an appropriate authoritative source.
Parse claim, identify factual assertion, verify against reliable evidence.
External evidence should be checked for real-world factual claims.
evidence
required
required
Never fabricate a citation.
Identify unsupported factual certainty.
Qualify or verify the claim.
answerable
0.85
0.15
3
true
false
Stop after evidence requirement is identified.
9
55
1
11
0.9
true
CC-BY-4.0
v1.1
mtd-000097998380
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 97998380. 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
56
2
12
0.9
true
CC-BY-4.0
v1.1
mtd-000097998381
calibration
calibration_analysis
general_reasoning
very_hard
very_hard
en
Explain when a system should reduce confidence in its answer.
Synthetic evaluation instance 97998381. 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
57
3
0
0.9
true
CC-BY-4.0
v1.1
mtd-000097998382
counterexample
counterexample_analysis
general_reasoning
very_hard
very_hard
en
Construct a counterexample that tests whether a general claim always holds.
Synthetic evaluation instance 97998382. 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
58
4
1
0.9
true
CC-BY-4.0
v1.1
mtd-000097998383
data_analysis
descriptive_statistics
statistics
very_hard
very_hard
en
Calculate the arithmetic mean of the supplied dataset.
Dataset: 30, 7, 72, 24, 74
Mean = 41.4000
Parse values, sum them, divide by count, verify.
Recompute sum and count.
exact
passed
not_applicable
passed
not_applicable
not_applicable
not_applicable
Use only supplied dataset.
Check arithmetic and denominator.
Recompute statistic.
answerable
1
0
2
true
false
Stop after numerical verification.
13
59
5
2
0.9
true
CC-BY-4.0
v1.1
mtd-000097998384
consistency_check
consistency_check_analysis
general_reasoning
very_hard
very_hard
en
Check whether the supplied statements are mutually consistent.
Synthetic evaluation instance 97998384. 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
60
6
3
0.9
true
CC-BY-4.0
v1.1
mtd-000097998385
planning
planning_analysis
general_reasoning
very_hard
very_hard
en
Create a concise plan for solving a complex technical problem.
Synthetic evaluation instance 97998385. 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
61
7
4
0.9
true
CC-BY-4.0
v1.1
mtd-000097998386
constraint_reasoning
constraint_reasoning_analysis
general_reasoning
very_hard
very_hard
en
Solve a problem while respecting multiple explicit constraints.
Synthetic evaluation instance 97998386. 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
62
8
5
0.9
true
CC-BY-4.0
v1.1
mtd-000097998387
research
research_methodology
biology
very_hard
very_hard
en
Design a rigorous research procedure for investigating a question about biology.
The procedure must distinguish evidence from assumptions and identify uncertainty.
1. Define the research question precisely. 2. Identify measurable variables and hypotheses. 3. Select appropriate primary and secondary sources. 4. Record provenance for each important claim. 5. Compare independent evidence. 6. Identify uncertainty and alternative explanations. 7. Report conclusions separately from obs...
Define question, gather evidence, evaluate sources, quantify uncertainty.
Methodological consistency check.
methodological
not_applicable
passed
not_applicable
not_applicable
required
required
Do not invent sources or findings.
Detect unsupported claims.
Remove or qualify unsupported claims.
answerable
0.92
0.08
4
true
false
Stop when methodology is complete and internally coherent.
0
63
9
6
0.9
true
CC-BY-4.0
v1.1
mtd-000097998388
reasoning
comparison
general_reasoning
very_hard
very_hard
en
Compare two quantities and explain the comparison using only the provided values.
A = 39, B = 77
B is greater than A by 38.
Compare values and compute difference.
Check comparison and difference.
exact
passed
passed
Use only supplied values.
Check comparison direction.
Recompute difference.
answerable
1
0
2
true
false
Stop after comparison verification.
1
64
10
7
0.9
true
CC-BY-4.0
v1.1
mtd-000097998389
consistency_check
consistency_check_analysis
general_reasoning
very_hard
very_hard
en
Check whether the supplied statements are mutually consistent.
Synthetic evaluation instance 97998389. 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
65
11
8
0.9
true
CC-BY-4.0
v1.1
mtd-000097998390
reasoning
comparison
general_reasoning
very_hard
very_hard
en
Compare two quantities and explain the comparison using only the provided values.
A = 51, B = 48
A is greater than B by 3.
Compare values and compute difference.
Check comparison and difference.
exact
passed
passed
Use only supplied values.
Check comparison direction.
Recompute difference.
answerable
1
0
2
true
false
Stop after comparison verification.
3
66
12
9
0.9
true
CC-BY-4.0
v1.1
mtd-000097998391
planning
planning_analysis
general_reasoning
very_hard
very_hard
en
Create a concise plan for solving a complex technical problem.
Synthetic evaluation instance 97998391. 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
67
13
10
0.9
true
CC-BY-4.0
v1.1
mtd-000097998392
instruction_following
format_constraint
general
very_hard
very_hard
en
Return the supplied number doubled. Return only the final number.
7808
15616
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.
5
68
14
11
0.9
true
CC-BY-4.0
v1.1
mtd-000097998393
data_analysis
descriptive_statistics
statistics
very_hard
very_hard
en
Calculate the arithmetic mean of the supplied dataset.
Dataset: 9, 50, 15, 88, 85
Mean = 49.4000
Parse values, sum them, divide by count, verify.
Recompute sum and count.
exact
passed
not_applicable
passed
not_applicable
not_applicable
not_applicable
Use only supplied dataset.
Check arithmetic and denominator.
Recompute statistic.
answerable
1
0
2
true
false
Stop after numerical verification.
6
69
15
12
0.9
true
CC-BY-4.0
v1.1
mtd-000097998394
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 97998394. 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
70
16
0
0.9
true
CC-BY-4.0
v1.1
mtd-000097998395
adversarial
adversarial_analysis
general_reasoning
extreme
extreme
en
Identify a plausible failure mode in the proposed reasoning.
Synthetic evaluation instance 97998395. 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
71
17
1
0.9
true
CC-BY-4.0
v1.1
mtd-000097998396
ambiguity
ambiguity_analysis
general_reasoning
extreme
extreme
en
Identify ambiguity in the request and state what information is missing.
Synthetic evaluation instance 97998396. 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
72
18
2
0.9
true
CC-BY-4.0
v1.1
mtd-000097998397
calibration
calibration_analysis
general_reasoning
extreme
extreme
en
Explain when a system should reduce confidence in its answer.
Synthetic evaluation instance 97998397. 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
73
19
3
0.9
true
CC-BY-4.0
v1.1
mtd-000097998398
logic
deductive_reasoning
logic
extreme
extreme
en
Determine whether the conclusion follows from the given statements.
If x > 89, then x is positive. x = 89. y = 95.
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
74
20
4
0.9
true
CC-BY-4.0
v1.1
mtd-000097998399
code
function_generation
programming
extreme
extreme
en
Write Python code that returns the square of an integer.
Input example: n = 36372
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
75
21
5
0.9
true
CC-BY-4.0
v1.1