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-000000006100
ambiguity
ambiguity_analysis
general_reasoning
easy
easy
en
Identify ambiguity in the request and state what information is missing.
Synthetic evaluation instance 6100. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
86
24
3
0.9
true
CC-BY-4.0
v1.1
mtd-000000006101
logic
deductive_reasoning
logic
easy
easy
en
Determine whether the conclusion follows from the given statements.
If x > 12, then x is positive. x = 12. y = 11.
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.
15
87
25
4
0.9
true
CC-BY-4.0
v1.1
mtd-000000006102
fact_check
claim_verification
general_knowledge
easy
easy
en
Assess the claim and state whether it is correct. Do not invent evidence.
The Earth has one natural satellite.
Assessment: Correct. A reliable fact-check should verify the claim against an appropriate authoritative source.
Parse claim, identify factual assertion, verify against reliable evidence.
External evidence should be checked for real-world factual claims.
evidence
required
required
Never fabricate a citation.
Identify unsupported factual certainty.
Qualify or verify the claim.
answerable
0.85
0.15
3
true
false
Stop after evidence requirement is identified.
16
88
26
5
0.9
true
CC-BY-4.0
v1.1
mtd-000000006103
consistency_check
consistency_check_analysis
general_reasoning
easy
easy
en
Check whether the supplied statements are mutually consistent.
Synthetic evaluation instance 6103. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
27
6
0.9
true
CC-BY-4.0
v1.1
mtd-000000006104
calibration
calibration_analysis
general_reasoning
easy
easy
en
Explain when a system should reduce confidence in its answer.
Synthetic evaluation instance 6104. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
90
28
7
0.9
true
CC-BY-4.0
v1.1
mtd-000000006105
logic
deductive_reasoning
logic
easy
easy
en
Determine whether the conclusion follows from the given statements.
If x > 11, then x is positive. x = 11. y = 82.
Conclusion: x is positive. Result: Yes.
Identify premises, apply implication, verify conclusion.
Logical consistency check.
symbolic
not_applicable
passed
not_applicable
not_applicable
not_applicable
not_applicable
Reason only from supplied premises.
Check whether conclusion is entailed.
Re-evaluate premises if conclusion conflicts.
answerable
0.99
0.01
2
true
false
Stop once entailment is established.
2
91
29
8
0.9
true
CC-BY-4.0
v1.1
mtd-000000006106
self_correction
error_repair
mathematics
easy
easy
en
Identify and correct the numerical error in the proposed answer.
Problem: 44 + 98 Proposed answer: 148
The proposed answer is incorrect. The correct answer is 142.
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.
3
92
30
9
0.9
true
CC-BY-4.0
v1.1
mtd-000000006107
evidence_check
evidence_check_analysis
general_reasoning
easy
easy
en
Identify which claims require evidence before they can be asserted confidently.
Synthetic evaluation instance 6107. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
0
10
0.9
true
CC-BY-4.0
v1.1
mtd-000000006108
instruction_following
format_constraint
general
easy
easy
en
Return the supplied number doubled. Return only the final number.
2384
4768
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
94
1
11
0.9
true
CC-BY-4.0
v1.1
mtd-000000006109
calibration
calibration_analysis
general_reasoning
easy
easy
en
Explain when a system should reduce confidence in its answer.
Synthetic evaluation instance 6109. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
2
12
0.9
true
CC-BY-4.0
v1.1
mtd-000000006110
evidence_check
evidence_check_analysis
general_reasoning
medium
medium
en
Identify which claims require evidence before they can be asserted confidently.
Synthetic evaluation instance 6110. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
3
0
0.9
true
CC-BY-4.0
v1.1
mtd-000000006111
planning
planning_analysis
general_reasoning
medium
medium
en
Create a concise plan for solving a complex technical problem.
Synthetic evaluation instance 6111. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
4
1
0.9
true
CC-BY-4.0
v1.1
mtd-000000006112
counterexample
counterexample_analysis
general_reasoning
medium
medium
en
Construct a counterexample that tests whether a general claim always holds.
Synthetic evaluation instance 6112. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
1
5
2
0.9
true
CC-BY-4.0
v1.1
mtd-000000006113
constraint_reasoning
constraint_reasoning_analysis
general_reasoning
medium
medium
en
Solve a problem while respecting multiple explicit constraints.
Synthetic evaluation instance 6113. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
2
6
3
0.9
true
CC-BY-4.0
v1.1
mtd-000000006114
code
function_generation
programming
medium
medium
en
Write Python code that returns the square of an integer.
Input example: n = 73566
def square(n): return n * n
Identify required input/output and implement minimal function.
Static code contract check.
static_contract
not_applicable
not_applicable
not_applicable
passed
not_applicable
not_applicable
No external API assumptions.
Check function signature and operation.
Correct implementation if contract is violated.
answerable
0.99
0.01
1
true
false
Stop after contract verification.
11
3
7
4
0.9
true
CC-BY-4.0
v1.1
mtd-000000006115
planning
planning_analysis
general_reasoning
medium
medium
en
Create a concise plan for solving a complex technical problem.
Synthetic evaluation instance 6115. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
8
5
0.9
true
CC-BY-4.0
v1.1
mtd-000000006116
constraint_reasoning
constraint_reasoning_analysis
general_reasoning
medium
medium
en
Solve a problem while respecting multiple explicit constraints.
Synthetic evaluation instance 6116. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
5
9
6
0.9
true
CC-BY-4.0
v1.1
mtd-000000006117
constraint_reasoning
constraint_reasoning_analysis
general_reasoning
medium
medium
en
Solve a problem while respecting multiple explicit constraints.
Synthetic evaluation instance 6117. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
6
10
7
0.9
true
CC-BY-4.0
v1.1
mtd-000000006118
instruction_following
format_constraint
general
medium
medium
en
Return the supplied number doubled. Return only the final number.
2842
5684
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
11
8
0.9
true
CC-BY-4.0
v1.1
mtd-000000006119
evidence_check
evidence_check_analysis
general_reasoning
medium
medium
en
Identify which claims require evidence before they can be asserted confidently.
Synthetic evaluation instance 6119. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
8
12
9
0.9
true
CC-BY-4.0
v1.1
mtd-000000006120
research
research_methodology
astronomy
medium
medium
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.
0
9
13
10
0.9
true
CC-BY-4.0
v1.1
mtd-000000006121
consistency_check
consistency_check_analysis
general_reasoning
medium
medium
en
Check whether the supplied statements are mutually consistent.
Synthetic evaluation instance 6121. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
10
14
11
0.9
true
CC-BY-4.0
v1.1
mtd-000000006122
ambiguity
ambiguity_analysis
general_reasoning
medium
medium
en
Identify ambiguity in the request and state what information is missing.
Synthetic evaluation instance 6122. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
15
12
0.9
true
CC-BY-4.0
v1.1
mtd-000000006123
self_correction
error_repair
mathematics
medium
medium
en
Identify and correct the numerical error in the proposed answer.
Problem: 38 + 68 Proposed answer: 107
The proposed answer is incorrect. The correct answer is 106.
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.
3
12
16
0
0.9
true
CC-BY-4.0
v1.1
mtd-000000006124
math
arithmetic
mathematics
medium
medium
en
Solve the following arithmetic problem exactly: 2739 × 227
621753
Identify operation, compute exactly, verify result.
Exact arithmetic verification.
exact
passed
not_applicable
not_applicable
not_applicable
not_applicable
not_applicable
Use only supplied operands.
Check arithmetic operation.
Recompute if mismatch detected.
answerable
1
0
1
true
false
Stop after exact verification.
4
13
17
1
0.9
true
CC-BY-4.0
v1.1
mtd-000000006125
math
arithmetic
mathematics
medium
medium
en
Solve the following arithmetic problem exactly: 177543 + 77491
255034
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
14
18
2
0.9
true
CC-BY-4.0
v1.1
mtd-000000006126
ambiguity
ambiguity_analysis
general_reasoning
medium
medium
en
Identify ambiguity in the request and state what information is missing.
Synthetic evaluation instance 6126. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify contradictions or invalid assumptions.
Correct detected inconsistencies.
conditionally_answerable
0.9
0.1
4
true
false
Stop after objective and verification requirements are satisfied.
6
15
19
3
0.9
true
CC-BY-4.0
v1.1
mtd-000000006127
instruction_following
format_constraint
general
medium
medium
en
Return the supplied number doubled. Return only the final number.
419
838
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.
7
16
20
4
0.9
true
CC-BY-4.0
v1.1
mtd-000000006128
prompt_review
prompt_review_analysis
general_reasoning
medium
medium
en
Review the prompt for ambiguity, contradictions, and missing constraints.
Synthetic evaluation instance 6128. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
17
21
5
0.9
true
CC-BY-4.0
v1.1
mtd-000000006129
logic
deductive_reasoning
logic
medium
medium
en
Determine whether the conclusion follows from the given statements.
If x > 5, then x is positive. x = 5. y = 3.
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
18
22
6
0.9
true
CC-BY-4.0
v1.1
mtd-000000006130
calibration
calibration_analysis
general_reasoning
medium
medium
en
Explain when a system should reduce confidence in its answer.
Synthetic evaluation instance 6130. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify contradictions or invalid assumptions.
Correct detected inconsistencies.
conditionally_answerable
0.9
0.1
4
true
false
Stop after objective and verification requirements are satisfied.
10
19
23
7
0.9
true
CC-BY-4.0
v1.1
mtd-000000006131
evidence_check
evidence_check_analysis
general_reasoning
medium
medium
en
Identify which claims require evidence before they can be asserted confidently.
Synthetic evaluation instance 6131. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify contradictions or invalid assumptions.
Correct detected inconsistencies.
conditionally_answerable
0.9
0.1
4
true
false
Stop after objective and verification requirements are satisfied.
11
20
24
8
0.9
true
CC-BY-4.0
v1.1
mtd-000000006132
consistency_check
consistency_check_analysis
general_reasoning
medium
medium
en
Check whether the supplied statements are mutually consistent.
Synthetic evaluation instance 6132. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify contradictions or invalid assumptions.
Correct detected inconsistencies.
conditionally_answerable
0.9
0.1
4
true
false
Stop after objective and verification requirements are satisfied.
12
21
25
9
0.9
true
CC-BY-4.0
v1.1
mtd-000000006133
logic
deductive_reasoning
logic
medium
medium
en
Determine whether the conclusion follows from the given statements.
If x > 9, then x is positive. x = 9. y = 72.
Conclusion: x is positive. Result: Yes.
Identify premises, apply implication, verify conclusion.
Logical consistency check.
symbolic
not_applicable
passed
not_applicable
not_applicable
not_applicable
not_applicable
Reason only from supplied premises.
Check whether conclusion is entailed.
Re-evaluate premises if conclusion conflicts.
answerable
0.99
0.01
2
true
false
Stop once entailment is established.
13
22
26
10
0.9
true
CC-BY-4.0
v1.1
mtd-000000006134
ambiguity
ambiguity_analysis
general_reasoning
medium
medium
en
Identify ambiguity in the request and state what information is missing.
Synthetic evaluation instance 6134. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
23
27
11
0.9
true
CC-BY-4.0
v1.1
mtd-000000006135
planning
planning_analysis
general_reasoning
medium
medium
en
Create a concise plan for solving a complex technical problem.
Synthetic evaluation instance 6135. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
24
28
12
0.9
true
CC-BY-4.0
v1.1
mtd-000000006136
adversarial
adversarial_analysis
general_reasoning
medium
medium
en
Identify a plausible failure mode in the proposed reasoning.
Synthetic evaluation instance 6136. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
25
29
0
0.9
true
CC-BY-4.0
v1.1
mtd-000000006137
research
research_methodology
statistics
medium
medium
en
Design a rigorous research procedure for investigating a question about statistics.
The procedure must distinguish evidence from assumptions and identify uncertainty.
1. Define the research question precisely. 2. Identify measurable variables and hypotheses. 3. Select appropriate primary and secondary sources. 4. Record provenance for each important claim. 5. Compare independent evidence. 6. Identify uncertainty and alternative explanations. 7. Report conclusions separately from obs...
Define question, gather evidence, evaluate sources, quantify uncertainty.
Methodological consistency check.
methodological
not_applicable
passed
not_applicable
not_applicable
required
required
Do not invent sources or findings.
Detect unsupported claims.
Remove or qualify unsupported claims.
answerable
0.92
0.08
4
true
false
Stop when methodology is complete and internally coherent.
0
26
30
1
0.9
true
CC-BY-4.0
v1.1
mtd-000000006138
constraint_reasoning
constraint_reasoning_analysis
general_reasoning
medium
medium
en
Solve a problem while respecting multiple explicit constraints.
Synthetic evaluation instance 6138. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify contradictions or invalid assumptions.
Correct detected inconsistencies.
conditionally_answerable
0.9
0.1
4
true
false
Stop after objective and verification requirements are satisfied.
1
27
0
2
0.9
true
CC-BY-4.0
v1.1
mtd-000000006139
evidence_check
evidence_check_analysis
general_reasoning
medium
medium
en
Identify which claims require evidence before they can be asserted confidently.
Synthetic evaluation instance 6139. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify contradictions or invalid assumptions.
Correct detected inconsistencies.
conditionally_answerable
0.9
0.1
4
true
false
Stop after objective and verification requirements are satisfied.
2
28
1
3
0.9
true
CC-BY-4.0
v1.1
mtd-000000006140
evidence_check
evidence_check_analysis
general_reasoning
hard
hard
en
Identify which claims require evidence before they can be asserted confidently.
Synthetic evaluation instance 6140. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify contradictions or invalid assumptions.
Correct detected inconsistencies.
conditionally_answerable
0.9
0.1
4
true
false
Stop after objective and verification requirements are satisfied.
3
29
2
4
0.9
true
CC-BY-4.0
v1.1
mtd-000000006141
counterexample
counterexample_analysis
general_reasoning
hard
hard
en
Construct a counterexample that tests whether a general claim always holds.
Synthetic evaluation instance 6141. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
30
3
5
0.9
true
CC-BY-4.0
v1.1
mtd-000000006142
instruction_following
format_constraint
general
hard
hard
en
Return the supplied number doubled. Return only the final number.
8881
17762
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
31
4
6
0.9
true
CC-BY-4.0
v1.1
mtd-000000006143
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 6143. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify contradictions or invalid assumptions.
Correct detected inconsistencies.
conditionally_answerable
0.9
0.1
4
true
false
Stop after objective and verification requirements are satisfied.
6
32
5
7
0.9
true
CC-BY-4.0
v1.1
mtd-000000006144
calibration
calibration_analysis
general_reasoning
hard
hard
en
Explain when a system should reduce confidence in its answer.
Synthetic evaluation instance 6144. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
33
6
8
0.9
true
CC-BY-4.0
v1.1
mtd-000000006145
generalization
generalization_analysis
general_reasoning
hard
hard
en
Explain how to test whether a model generalizes beyond familiar examples.
Synthetic evaluation instance 6145. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify contradictions or invalid assumptions.
Correct detected inconsistencies.
conditionally_answerable
0.9
0.1
4
true
false
Stop after objective and verification requirements are satisfied.
8
34
7
9
0.9
true
CC-BY-4.0
v1.1
mtd-000000006146
ambiguity
ambiguity_analysis
general_reasoning
hard
hard
en
Identify ambiguity in the request and state what information is missing.
Synthetic evaluation instance 6146. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify contradictions or invalid assumptions.
Correct detected inconsistencies.
conditionally_answerable
0.9
0.1
4
true
false
Stop after objective and verification requirements are satisfied.
9
35
8
10
0.9
true
CC-BY-4.0
v1.1
mtd-000000006147
evidence_check
evidence_check_analysis
general_reasoning
hard
hard
en
Identify which claims require evidence before they can be asserted confidently.
Synthetic evaluation instance 6147. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
36
9
11
0.9
true
CC-BY-4.0
v1.1
mtd-000000006148
consistency_check
consistency_check_analysis
general_reasoning
hard
hard
en
Check whether the supplied statements are mutually consistent.
Synthetic evaluation instance 6148. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
37
10
12
0.9
true
CC-BY-4.0
v1.1
mtd-000000006149
generalization
generalization_analysis
general_reasoning
hard
hard
en
Explain how to test whether a model generalizes beyond familiar examples.
Synthetic evaluation instance 6149. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify contradictions or invalid assumptions.
Correct detected inconsistencies.
conditionally_answerable
0.9
0.1
4
true
false
Stop after objective and verification requirements are satisfied.
12
38
11
0
0.9
true
CC-BY-4.0
v1.1
mtd-000000006150
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.
13
39
12
1
0.9
true
CC-BY-4.0
v1.1
mtd-000000006151
ambiguity
ambiguity_analysis
general_reasoning
hard
hard
en
Identify ambiguity in the request and state what information is missing.
Synthetic evaluation instance 6151. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify contradictions or invalid assumptions.
Correct detected inconsistencies.
conditionally_answerable
0.9
0.1
4
true
false
Stop after objective and verification requirements are satisfied.
14
40
13
2
0.9
true
CC-BY-4.0
v1.1
mtd-000000006152
prompt_review
prompt_review_analysis
general_reasoning
hard
hard
en
Review the prompt for ambiguity, contradictions, and missing constraints.
Synthetic evaluation instance 6152. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
41
14
3
0.9
true
CC-BY-4.0
v1.1
mtd-000000006153
math
arithmetic
mathematics
hard
hard
en
Solve the following arithmetic problem exactly: 995773 - 925370
70403
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
42
15
4
0.9
true
CC-BY-4.0
v1.1
mtd-000000006154
generalization
generalization_analysis
general_reasoning
hard
hard
en
Explain how to test whether a model generalizes beyond familiar examples.
Synthetic evaluation instance 6154. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
43
16
5
0.9
true
CC-BY-4.0
v1.1
mtd-000000006155
evidence_check
evidence_check_analysis
general_reasoning
hard
hard
en
Identify which claims require evidence before they can be asserted confidently.
Synthetic evaluation instance 6155. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify contradictions or invalid assumptions.
Correct detected inconsistencies.
conditionally_answerable
0.9
0.1
4
true
false
Stop after objective and verification requirements are satisfied.
1
44
17
6
0.9
true
CC-BY-4.0
v1.1
mtd-000000006156
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 6156. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify contradictions or invalid assumptions.
Correct detected inconsistencies.
conditionally_answerable
0.9
0.1
4
true
false
Stop after objective and verification requirements are satisfied.
2
45
18
7
0.9
true
CC-BY-4.0
v1.1
mtd-000000006157
adversarial
adversarial_analysis
general_reasoning
hard
hard
en
Identify a plausible failure mode in the proposed reasoning.
Synthetic evaluation instance 6157. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify contradictions or invalid assumptions.
Correct detected inconsistencies.
conditionally_answerable
0.9
0.1
4
true
false
Stop after objective and verification requirements are satisfied.
3
46
19
8
0.9
true
CC-BY-4.0
v1.1
mtd-000000006158
prompt_review
prompt_review_analysis
general_reasoning
hard
hard
en
Review the prompt for ambiguity, contradictions, and missing constraints.
Synthetic evaluation instance 6158. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
47
20
9
0.9
true
CC-BY-4.0
v1.1
mtd-000000006159
generalization
generalization_analysis
general_reasoning
hard
hard
en
Explain how to test whether a model generalizes beyond familiar examples.
Synthetic evaluation instance 6159. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
48
21
10
0.9
true
CC-BY-4.0
v1.1
mtd-000000006160
code
function_generation
programming
hard
hard
en
Write Python code that returns the square of an integer.
Input example: n = 94601
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
49
22
11
0.9
true
CC-BY-4.0
v1.1
mtd-000000006161
logic
deductive_reasoning
logic
hard
hard
en
Determine whether the conclusion follows from the given statements.
If x > 88, then x is positive. x = 88. y = 25.
Conclusion: x is positive. Result: Yes.
Identify premises, apply implication, verify conclusion.
Logical consistency check.
symbolic
not_applicable
passed
not_applicable
not_applicable
not_applicable
not_applicable
Reason only from supplied premises.
Check whether conclusion is entailed.
Re-evaluate premises if conclusion conflicts.
answerable
0.99
0.01
2
true
false
Stop once entailment is established.
7
50
23
12
0.9
true
CC-BY-4.0
v1.1
mtd-000000006162
planning
planning_analysis
general_reasoning
hard
hard
en
Create a concise plan for solving a complex technical problem.
Synthetic evaluation instance 6162. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
51
24
0
0.9
true
CC-BY-4.0
v1.1
mtd-000000006163
evidence_check
evidence_check_analysis
general_reasoning
hard
hard
en
Identify which claims require evidence before they can be asserted confidently.
Synthetic evaluation instance 6163. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify contradictions or invalid assumptions.
Correct detected inconsistencies.
conditionally_answerable
0.9
0.1
4
true
false
Stop after objective and verification requirements are satisfied.
9
52
25
1
0.9
true
CC-BY-4.0
v1.1
mtd-000000006164
ambiguity
ambiguity_analysis
general_reasoning
hard
hard
en
Identify ambiguity in the request and state what information is missing.
Synthetic evaluation instance 6164. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify contradictions or invalid assumptions.
Correct detected inconsistencies.
conditionally_answerable
0.9
0.1
4
true
false
Stop after objective and verification requirements are satisfied.
10
53
26
2
0.9
true
CC-BY-4.0
v1.1
mtd-000000006165
math
arithmetic
mathematics
hard
hard
en
Solve the following arithmetic problem exactly: 745006 + 177131
922137
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.
11
54
27
3
0.9
true
CC-BY-4.0
v1.1
mtd-000000006166
counterexample
counterexample_analysis
general_reasoning
hard
hard
en
Construct a counterexample that tests whether a general claim always holds.
Synthetic evaluation instance 6166. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify contradictions or invalid assumptions.
Correct detected inconsistencies.
conditionally_answerable
0.9
0.1
4
true
false
Stop after objective and verification requirements are satisfied.
12
55
28
4
0.9
true
CC-BY-4.0
v1.1
mtd-000000006167
counterexample
counterexample_analysis
general_reasoning
hard
hard
en
Construct a counterexample that tests whether a general claim always holds.
Synthetic evaluation instance 6167. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
56
29
5
0.9
true
CC-BY-4.0
v1.1
mtd-000000006168
generalization
generalization_analysis
general_reasoning
hard
hard
en
Explain how to test whether a model generalizes beyond familiar examples.
Synthetic evaluation instance 6168. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify contradictions or invalid assumptions.
Correct detected inconsistencies.
conditionally_answerable
0.9
0.1
4
true
false
Stop after objective and verification requirements are satisfied.
14
57
30
6
0.9
true
CC-BY-4.0
v1.1
mtd-000000006169
fact_check
claim_verification
general_knowledge
hard
hard
en
Assess the claim and state whether it is correct. Do not invent evidence.
All metals are liquid at room temperature.
Assessment: Incorrect. A reliable fact-check should verify the claim against an appropriate authoritative source.
Parse claim, identify factual assertion, verify against reliable evidence.
External evidence should be checked for real-world factual claims.
evidence
required
required
Never fabricate a citation.
Identify unsupported factual certainty.
Qualify or verify the claim.
answerable
0.85
0.15
3
true
false
Stop after evidence requirement is identified.
15
58
0
7
0.9
true
CC-BY-4.0
v1.1
mtd-000000006170
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.
16
59
1
8
0.9
true
CC-BY-4.0
v1.1
mtd-000000006171
self_correction
error_repair
mathematics
hard
hard
en
Identify and correct the numerical error in the proposed answer.
Problem: 31 + 19 Proposed answer: 53
The proposed answer is incorrect. The correct answer is 50.
Recompute independently, compare with proposal, repair mismatch.
Independent recomputation.
exact
passed
Do not trust the proposed answer without verification.
passed
passed
answerable
1
0
3
true
false
Stop after independent correction.
0
60
2
9
0.9
true
CC-BY-4.0
v1.1
mtd-000000006172
logic
deductive_reasoning
logic
hard
hard
en
Determine whether the conclusion follows from the given statements.
If x > 49, then x is positive. x = 49. 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.
1
61
3
10
0.9
true
CC-BY-4.0
v1.1
mtd-000000006173
consistency_check
consistency_check_analysis
general_reasoning
hard
hard
en
Check whether the supplied statements are mutually consistent.
Synthetic evaluation instance 6173. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
62
4
11
0.9
true
CC-BY-4.0
v1.1
mtd-000000006174
code
function_generation
programming
hard
hard
en
Write Python code that returns the square of an integer.
Input example: n = 11129
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.
3
63
5
12
0.9
true
CC-BY-4.0
v1.1
mtd-000000006175
adversarial
adversarial_analysis
general_reasoning
very_hard
very_hard
en
Identify a plausible failure mode in the proposed reasoning.
Synthetic evaluation instance 6175. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
64
6
0
0.9
true
CC-BY-4.0
v1.1
mtd-000000006176
calibration
calibration_analysis
general_reasoning
very_hard
very_hard
en
Explain when a system should reduce confidence in its answer.
Synthetic evaluation instance 6176. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify contradictions or invalid assumptions.
Correct detected inconsistencies.
conditionally_answerable
0.9
0.1
4
true
false
Stop after objective and verification requirements are satisfied.
5
65
7
1
0.9
true
CC-BY-4.0
v1.1
mtd-000000006177
math
arithmetic
mathematics
very_hard
very_hard
en
Solve the following arithmetic problem exactly: 462609 + 468010
930619
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
66
8
2
0.9
true
CC-BY-4.0
v1.1
mtd-000000006178
research
research_methodology
astronomy
very_hard
very_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.
7
67
9
3
0.9
true
CC-BY-4.0
v1.1
mtd-000000006179
constraint_reasoning
constraint_reasoning_analysis
general_reasoning
very_hard
very_hard
en
Solve a problem while respecting multiple explicit constraints.
Synthetic evaluation instance 6179. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify contradictions or invalid assumptions.
Correct detected inconsistencies.
conditionally_answerable
0.9
0.1
4
true
false
Stop after objective and verification requirements are satisfied.
8
68
10
4
0.9
true
CC-BY-4.0
v1.1
mtd-000000006180
constraint_reasoning
constraint_reasoning_analysis
general_reasoning
very_hard
very_hard
en
Solve a problem while respecting multiple explicit constraints.
Synthetic evaluation instance 6180. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
69
11
5
0.9
true
CC-BY-4.0
v1.1
mtd-000000006181
counterexample
counterexample_analysis
general_reasoning
very_hard
very_hard
en
Construct a counterexample that tests whether a general claim always holds.
Synthetic evaluation instance 6181. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify contradictions or invalid assumptions.
Correct detected inconsistencies.
conditionally_answerable
0.9
0.1
4
true
false
Stop after objective and verification requirements are satisfied.
10
70
12
6
0.9
true
CC-BY-4.0
v1.1
mtd-000000006182
reasoning
comparison
general_reasoning
very_hard
very_hard
en
Compare two quantities and explain the comparison using only the provided values.
A = 68, B = 17
A is greater than B 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.
11
71
13
7
0.9
true
CC-BY-4.0
v1.1
mtd-000000006183
error_analysis
error_analysis_analysis
general_reasoning
very_hard
very_hard
en
Classify the likely cause of an incorrect answer and propose a repair.
Synthetic evaluation instance 6183. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
72
14
8
0.9
true
CC-BY-4.0
v1.1
mtd-000000006184
math
arithmetic
mathematics
very_hard
very_hard
en
Solve the following arithmetic problem exactly: 603700 ÷ 100
603700
Identify operation, compute exactly, verify result.
Exact arithmetic verification.
exact
passed
not_applicable
not_applicable
not_applicable
not_applicable
not_applicable
Use only supplied operands.
Check arithmetic operation.
Recompute if mismatch detected.
answerable
1
0
1
true
false
Stop after exact verification.
13
73
15
9
0.9
true
CC-BY-4.0
v1.1
mtd-000000006185
fact_check
claim_verification
general_knowledge
very_hard
very_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.
14
74
16
10
0.9
true
CC-BY-4.0
v1.1
mtd-000000006186
counterexample
counterexample_analysis
general_reasoning
very_hard
very_hard
en
Construct a counterexample that tests whether a general claim always holds.
Synthetic evaluation instance 6186. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
75
17
11
0.9
true
CC-BY-4.0
v1.1
mtd-000000006187
math
arithmetic
mathematics
very_hard
very_hard
en
Solve the following arithmetic problem exactly: 586224 ÷ 368
586224
Identify operation, compute exactly, verify result.
Exact arithmetic verification.
exact
passed
not_applicable
not_applicable
not_applicable
not_applicable
not_applicable
Use only supplied operands.
Check arithmetic operation.
Recompute if mismatch detected.
answerable
1
0
1
true
false
Stop after exact verification.
16
76
18
12
0.9
true
CC-BY-4.0
v1.1
mtd-000000006188
planning
planning_analysis
general_reasoning
very_hard
very_hard
en
Create a concise plan for solving a complex technical problem.
Synthetic evaluation instance 6188. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
77
19
0
0.9
true
CC-BY-4.0
v1.1
mtd-000000006189
data_analysis
descriptive_statistics
statistics
very_hard
very_hard
en
Calculate the arithmetic mean of the supplied dataset.
Dataset: 61, 66, 99, 67, 32
Mean = 65.0000
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
78
20
1
0.9
true
CC-BY-4.0
v1.1
mtd-000000006190
planning
planning_analysis
general_reasoning
very_hard
very_hard
en
Create a concise plan for solving a complex technical problem.
Synthetic evaluation instance 6190. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify contradictions or invalid assumptions.
Correct detected inconsistencies.
conditionally_answerable
0.9
0.1
4
true
false
Stop after objective and verification requirements are satisfied.
2
79
21
2
0.9
true
CC-BY-4.0
v1.1
mtd-000000006191
counterexample
counterexample_analysis
general_reasoning
very_hard
very_hard
en
Construct a counterexample that tests whether a general claim always holds.
Synthetic evaluation instance 6191. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify contradictions or invalid assumptions.
Correct detected inconsistencies.
conditionally_answerable
0.9
0.1
4
true
false
Stop after objective and verification requirements are satisfied.
3
80
22
3
0.9
true
CC-BY-4.0
v1.1
mtd-000000006192
logic
deductive_reasoning
logic
very_hard
very_hard
en
Determine whether the conclusion follows from the given statements.
If x > 71, then x is positive. x = 71. y = 2.
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
81
23
4
0.9
true
CC-BY-4.0
v1.1
mtd-000000006193
code
function_generation
programming
very_hard
very_hard
en
Write Python code that returns the square of an integer.
Input example: n = 31639
def square(n): return n * n
Identify required input/output and implement minimal function.
Static code contract check.
static_contract
not_applicable
not_applicable
not_applicable
passed
not_applicable
not_applicable
No external API assumptions.
Check function signature and operation.
Correct implementation if contract is violated.
answerable
0.99
0.01
1
true
false
Stop after contract verification.
5
82
24
5
0.9
true
CC-BY-4.0
v1.1
mtd-000000006194
error_analysis
error_analysis_analysis
general_reasoning
very_hard
very_hard
en
Classify the likely cause of an incorrect answer and propose a repair.
Synthetic evaluation instance 6194. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify contradictions or invalid assumptions.
Correct detected inconsistencies.
conditionally_answerable
0.9
0.1
4
true
false
Stop after objective and verification requirements are satisfied.
6
83
25
6
0.9
true
CC-BY-4.0
v1.1
mtd-000000006195
research
research_methodology
economics
extreme
extreme
en
Design a rigorous research procedure for investigating a question about economics.
The procedure must distinguish evidence from assumptions and identify uncertainty.
1. Define the research question precisely. 2. Identify measurable variables and hypotheses. 3. Select appropriate primary and secondary sources. 4. Record provenance for each important claim. 5. Compare independent evidence. 6. Identify uncertainty and alternative explanations. 7. Report conclusions separately from obs...
Define question, gather evidence, evaluate sources, quantify uncertainty.
Methodological consistency check.
methodological
not_applicable
passed
not_applicable
not_applicable
required
required
Do not invent sources or findings.
Detect unsupported claims.
Remove or qualify unsupported claims.
answerable
0.92
0.08
4
true
false
Stop when methodology is complete and internally coherent.
7
84
26
7
0.9
true
CC-BY-4.0
v1.1
mtd-000000006196
logic
deductive_reasoning
logic
extreme
extreme
en
Determine whether the conclusion follows from the given statements.
If x > 80, then x is positive. x = 80. y = 21.
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.
8
85
27
8
0.9
true
CC-BY-4.0
v1.1
mtd-000000006197
reasoning
comparison
general_reasoning
extreme
extreme
en
Compare two quantities and explain the comparison using only the provided values.
A = 86, B = 35
A is greater than B 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.
9
86
28
9
0.9
true
CC-BY-4.0
v1.1
mtd-000000006198
evidence_check
evidence_check_analysis
general_reasoning
extreme
extreme
en
Identify which claims require evidence before they can be asserted confidently.
Synthetic evaluation instance 6198. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
87
29
10
0.9
true
CC-BY-4.0
v1.1
mtd-000000006199
logic
deductive_reasoning
logic
extreme
extreme
en
Determine whether the conclusion follows from the given statements.
If x > 55, then x is positive. x = 55. y = 57.
Conclusion: x is positive. Result: Yes.
Identify premises, apply implication, verify conclusion.
Logical consistency check.
symbolic
not_applicable
passed
not_applicable
not_applicable
not_applicable
not_applicable
Reason only from supplied premises.
Check whether conclusion is entailed.
Re-evaluate premises if conclusion conflicts.
answerable
0.99
0.01
2
true
false
Stop once entailment is established.
11
88
30
11
0.9
true
CC-BY-4.0
v1.1