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-000000001300
research
research_methodology
astronomy
easy
easy
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.
8
39
29
0
0.9
true
CC-BY-4.0
v1.1
mtd-000000001301
reasoning
comparison
general_reasoning
easy
easy
en
Compare two quantities and explain the comparison using only the provided values.
A = 56, B = 53
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.
9
40
30
1
0.9
true
CC-BY-4.0
v1.1
mtd-000000001302
evidence_check
evidence_check_analysis
general_reasoning
easy
easy
en
Identify which claims require evidence before they can be asserted confidently.
Synthetic evaluation instance 1302. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
41
0
2
0.9
true
CC-BY-4.0
v1.1
mtd-000000001303
code
function_generation
programming
easy
easy
en
Write Python code that returns the square of an integer.
Input example: n = 49763
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
42
1
3
0.9
true
CC-BY-4.0
v1.1
mtd-000000001304
reasoning
comparison
general_reasoning
easy
easy
en
Compare two quantities and explain the comparison using only the provided values.
A = 45, B = 68
B is greater than A by 23.
Compare values and compute difference.
Check comparison and difference.
exact
passed
passed
Use only supplied values.
Check comparison direction.
Recompute difference.
answerable
1
0
2
true
false
Stop after comparison verification.
12
43
2
4
0.9
true
CC-BY-4.0
v1.1
mtd-000000001305
research
research_methodology
computer security
easy
easy
en
Design a rigorous research procedure for investigating a question about computer security.
The procedure must distinguish evidence from assumptions and identify uncertainty.
1. Define the research question precisely. 2. Identify measurable variables and hypotheses. 3. Select appropriate primary and secondary sources. 4. Record provenance for each important claim. 5. Compare independent evidence. 6. Identify uncertainty and alternative explanations. 7. Report conclusions separately from obs...
Define question, gather evidence, evaluate sources, quantify uncertainty.
Methodological consistency check.
methodological
not_applicable
passed
not_applicable
not_applicable
required
required
Do not invent sources or findings.
Detect unsupported claims.
Remove or qualify unsupported claims.
answerable
0.92
0.08
4
true
false
Stop when methodology is complete and internally coherent.
13
44
3
5
0.9
true
CC-BY-4.0
v1.1
mtd-000000001306
planning
planning_analysis
general_reasoning
easy
easy
en
Create a concise plan for solving a complex technical problem.
Synthetic evaluation instance 1306. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
45
4
6
0.9
true
CC-BY-4.0
v1.1
mtd-000000001307
code
function_generation
programming
easy
easy
en
Write Python code that returns the square of an integer.
Input example: n = 45377
def square(n): return n * n
Identify required input/output and implement minimal function.
Static code contract check.
static_contract
not_applicable
not_applicable
not_applicable
passed
not_applicable
not_applicable
No external API assumptions.
Check function signature and operation.
Correct implementation if contract is violated.
answerable
0.99
0.01
1
true
false
Stop after contract verification.
15
46
5
7
0.9
true
CC-BY-4.0
v1.1
mtd-000000001308
evidence_check
evidence_check_analysis
general_reasoning
easy
easy
en
Identify which claims require evidence before they can be asserted confidently.
Synthetic evaluation instance 1308. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
47
6
8
0.9
true
CC-BY-4.0
v1.1
mtd-000000001309
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 1309. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
48
7
9
0.9
true
CC-BY-4.0
v1.1
mtd-000000001310
error_analysis
error_analysis_analysis
general_reasoning
medium
medium
en
Classify the likely cause of an incorrect answer and propose a repair.
Synthetic evaluation instance 1310. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
49
8
10
0.9
true
CC-BY-4.0
v1.1
mtd-000000001311
data_analysis
descriptive_statistics
statistics
medium
medium
en
Calculate the arithmetic mean of the supplied dataset.
Dataset: 84, 63, 66, 97, 17
Mean = 65.4000
Parse values, sum them, divide by count, verify.
Recompute sum and count.
exact
passed
not_applicable
passed
not_applicable
not_applicable
not_applicable
Use only supplied dataset.
Check arithmetic and denominator.
Recompute statistic.
answerable
1
0
2
true
false
Stop after numerical verification.
2
50
9
11
0.9
true
CC-BY-4.0
v1.1
mtd-000000001312
logic
deductive_reasoning
logic
medium
medium
en
Determine whether the conclusion follows from the given statements.
If x > 91, then x is positive. x = 91. y = 44.
Conclusion: x is positive. Result: Yes.
Identify premises, apply implication, verify conclusion.
Logical consistency check.
symbolic
not_applicable
passed
not_applicable
not_applicable
not_applicable
not_applicable
Reason only from supplied premises.
Check whether conclusion is entailed.
Re-evaluate premises if conclusion conflicts.
answerable
0.99
0.01
2
true
false
Stop once entailment is established.
3
51
10
12
0.9
true
CC-BY-4.0
v1.1
mtd-000000001313
constraint_reasoning
constraint_reasoning_analysis
general_reasoning
medium
medium
en
Solve a problem while respecting multiple explicit constraints.
Synthetic evaluation instance 1313. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
52
11
0
0.9
true
CC-BY-4.0
v1.1
mtd-000000001314
reasoning
comparison
general_reasoning
medium
medium
en
Compare two quantities and explain the comparison using only the provided values.
A = 73, B = 97
B is greater than A by 24.
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
53
12
1
0.9
true
CC-BY-4.0
v1.1
mtd-000000001315
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.
6
54
13
2
0.9
true
CC-BY-4.0
v1.1
mtd-000000001316
error_analysis
error_analysis_analysis
general_reasoning
medium
medium
en
Classify the likely cause of an incorrect answer and propose a repair.
Synthetic evaluation instance 1316. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
55
14
3
0.9
true
CC-BY-4.0
v1.1
mtd-000000001317
generalization
generalization_analysis
general_reasoning
medium
medium
en
Explain how to test whether a model generalizes beyond familiar examples.
Synthetic evaluation instance 1317. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
56
15
4
0.9
true
CC-BY-4.0
v1.1
mtd-000000001318
constraint_reasoning
constraint_reasoning_analysis
general_reasoning
medium
medium
en
Solve a problem while respecting multiple explicit constraints.
Synthetic evaluation instance 1318. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
57
16
5
0.9
true
CC-BY-4.0
v1.1
mtd-000000001319
prompt_review
prompt_review_analysis
general_reasoning
medium
medium
en
Review the prompt for ambiguity, contradictions, and missing constraints.
Synthetic evaluation instance 1319. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
58
17
6
0.9
true
CC-BY-4.0
v1.1
mtd-000000001320
code
function_generation
programming
medium
medium
en
Write Python code that returns the square of an integer.
Input example: n = 36925
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
59
18
7
0.9
true
CC-BY-4.0
v1.1
mtd-000000001321
math
arithmetic
mathematics
medium
medium
en
Solve the following arithmetic problem exactly: 951900 ÷ 300
951900
Identify operation, compute exactly, verify result.
Exact arithmetic verification.
exact
passed
not_applicable
not_applicable
not_applicable
not_applicable
not_applicable
Use only supplied operands.
Check arithmetic operation.
Recompute if mismatch detected.
answerable
1
0
1
true
false
Stop after exact verification.
12
60
19
8
0.9
true
CC-BY-4.0
v1.1
mtd-000000001322
adversarial
adversarial_analysis
general_reasoning
medium
medium
en
Identify a plausible failure mode in the proposed reasoning.
Synthetic evaluation instance 1322. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
61
20
9
0.9
true
CC-BY-4.0
v1.1
mtd-000000001323
instruction_following
format_constraint
general
medium
medium
en
Return the supplied number doubled. Return only the final number.
5102
10204
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.
14
62
21
10
0.9
true
CC-BY-4.0
v1.1
mtd-000000001324
fact_check
claim_verification
general_knowledge
medium
medium
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.
15
63
22
11
0.9
true
CC-BY-4.0
v1.1
mtd-000000001325
math
arithmetic
mathematics
medium
medium
en
Solve the following arithmetic problem exactly: 623573 - 24576
598997
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
64
23
12
0.9
true
CC-BY-4.0
v1.1
mtd-000000001326
fact_check
claim_verification
general_knowledge
medium
medium
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.
0
65
24
0
0.9
true
CC-BY-4.0
v1.1
mtd-000000001327
code
function_generation
programming
medium
medium
en
Write Python code that returns the square of an integer.
Input example: n = 37178
def square(n): return n * n
Identify required input/output and implement minimal function.
Static code contract check.
static_contract
not_applicable
not_applicable
not_applicable
passed
not_applicable
not_applicable
No external API assumptions.
Check function signature and operation.
Correct implementation if contract is violated.
answerable
0.99
0.01
1
true
false
Stop after contract verification.
1
66
25
1
0.9
true
CC-BY-4.0
v1.1
mtd-000000001328
counterexample
counterexample_analysis
general_reasoning
medium
medium
en
Construct a counterexample that tests whether a general claim always holds.
Synthetic evaluation instance 1328. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
67
26
2
0.9
true
CC-BY-4.0
v1.1
mtd-000000001329
generalization
generalization_analysis
general_reasoning
medium
medium
en
Explain how to test whether a model generalizes beyond familiar examples.
Synthetic evaluation instance 1329. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
68
27
3
0.9
true
CC-BY-4.0
v1.1
mtd-000000001330
instruction_following
format_constraint
general
medium
medium
en
Return the supplied number doubled. Return only the final number.
808
1616
Identify transformation and output constraint.
Check transformation and requested format.
constraint
passed
passed
passed
No unsupported content.
answerable
1
0
1
true
false
Stop when requested format is satisfied.
4
69
28
4
0.9
true
CC-BY-4.0
v1.1
mtd-000000001331
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.
5
70
29
5
0.9
true
CC-BY-4.0
v1.1
mtd-000000001332
fact_check
claim_verification
general_knowledge
medium
medium
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.
6
71
30
6
0.9
true
CC-BY-4.0
v1.1
mtd-000000001333
math
arithmetic
mathematics
medium
medium
en
Solve the following arithmetic problem exactly: 2528448 ÷ 416
2528448
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
72
0
7
0.9
true
CC-BY-4.0
v1.1
mtd-000000001334
evidence_check
evidence_check_analysis
general_reasoning
medium
medium
en
Identify which claims require evidence before they can be asserted confidently.
Synthetic evaluation instance 1334. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
73
1
8
0.9
true
CC-BY-4.0
v1.1
mtd-000000001335
consistency_check
consistency_check_analysis
general_reasoning
medium
medium
en
Check whether the supplied statements are mutually consistent.
Synthetic evaluation instance 1335. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
74
2
9
0.9
true
CC-BY-4.0
v1.1
mtd-000000001336
counterexample
counterexample_analysis
general_reasoning
medium
medium
en
Construct a counterexample that tests whether a general claim always holds.
Synthetic evaluation instance 1336. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
75
3
10
0.9
true
CC-BY-4.0
v1.1
mtd-000000001337
planning
planning_analysis
general_reasoning
medium
medium
en
Create a concise plan for solving a complex technical problem.
Synthetic evaluation instance 1337. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
76
4
11
0.9
true
CC-BY-4.0
v1.1
mtd-000000001338
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.
12
77
5
12
0.9
true
CC-BY-4.0
v1.1
mtd-000000001339
counterexample
counterexample_analysis
general_reasoning
medium
medium
en
Construct a counterexample that tests whether a general claim always holds.
Synthetic evaluation instance 1339. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
78
6
0
0.9
true
CC-BY-4.0
v1.1
mtd-000000001340
self_correction
error_repair
mathematics
hard
hard
en
Identify and correct the numerical error in the proposed answer.
Problem: 38 + 53 Proposed answer: 99
The proposed answer is incorrect. The correct answer is 91.
Recompute independently, compare with proposal, repair mismatch.
Independent recomputation.
exact
passed
Do not trust the proposed answer without verification.
passed
passed
answerable
1
0
3
true
false
Stop after independent correction.
14
79
7
1
0.9
true
CC-BY-4.0
v1.1
mtd-000000001341
calibration
calibration_analysis
general_reasoning
hard
hard
en
Explain when a system should reduce confidence in its answer.
Synthetic evaluation instance 1341. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
80
8
2
0.9
true
CC-BY-4.0
v1.1
mtd-000000001342
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 1342. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
81
9
3
0.9
true
CC-BY-4.0
v1.1
mtd-000000001343
reasoning
comparison
general_reasoning
hard
hard
en
Compare two quantities and explain the comparison using only the provided values.
A = 70, B = 87
B is greater than A by 17.
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.
0
82
10
4
0.9
true
CC-BY-4.0
v1.1
mtd-000000001344
calibration
calibration_analysis
general_reasoning
hard
hard
en
Explain when a system should reduce confidence in its answer.
Synthetic evaluation instance 1344. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
83
11
5
0.9
true
CC-BY-4.0
v1.1
mtd-000000001345
consistency_check
consistency_check_analysis
general_reasoning
hard
hard
en
Check whether the supplied statements are mutually consistent.
Synthetic evaluation instance 1345. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
84
12
6
0.9
true
CC-BY-4.0
v1.1
mtd-000000001346
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.
3
85
13
7
0.9
true
CC-BY-4.0
v1.1
mtd-000000001347
consistency_check
consistency_check_analysis
general_reasoning
hard
hard
en
Check whether the supplied statements are mutually consistent.
Synthetic evaluation instance 1347. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
86
14
8
0.9
true
CC-BY-4.0
v1.1
mtd-000000001348
prompt_review
prompt_review_analysis
general_reasoning
hard
hard
en
Review the prompt for ambiguity, contradictions, and missing constraints.
Synthetic evaluation instance 1348. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
87
15
9
0.9
true
CC-BY-4.0
v1.1
mtd-000000001349
evidence_check
evidence_check_analysis
general_reasoning
hard
hard
en
Identify which claims require evidence before they can be asserted confidently.
Synthetic evaluation instance 1349. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
88
16
10
0.9
true
CC-BY-4.0
v1.1
mtd-000000001350
constraint_reasoning
constraint_reasoning_analysis
general_reasoning
hard
hard
en
Solve a problem while respecting multiple explicit constraints.
Synthetic evaluation instance 1350. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
89
17
11
0.9
true
CC-BY-4.0
v1.1
mtd-000000001351
adversarial
adversarial_analysis
general_reasoning
hard
hard
en
Identify a plausible failure mode in the proposed reasoning.
Synthetic evaluation instance 1351. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
90
18
12
0.9
true
CC-BY-4.0
v1.1
mtd-000000001352
evidence_check
evidence_check_analysis
general_reasoning
hard
hard
en
Identify which claims require evidence before they can be asserted confidently.
Synthetic evaluation instance 1352. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
91
19
0
0.9
true
CC-BY-4.0
v1.1
mtd-000000001353
research
research_methodology
computer security
hard
hard
en
Design a rigorous research procedure for investigating a question about computer security.
The procedure must distinguish evidence from assumptions and identify uncertainty.
1. Define the research question precisely. 2. Identify measurable variables and hypotheses. 3. Select appropriate primary and secondary sources. 4. Record provenance for each important claim. 5. Compare independent evidence. 6. Identify uncertainty and alternative explanations. 7. Report conclusions separately from obs...
Define question, gather evidence, evaluate sources, quantify uncertainty.
Methodological consistency check.
methodological
not_applicable
passed
not_applicable
not_applicable
required
required
Do not invent sources or findings.
Detect unsupported claims.
Remove or qualify unsupported claims.
answerable
0.92
0.08
4
true
false
Stop when methodology is complete and internally coherent.
10
92
20
1
0.9
true
CC-BY-4.0
v1.1
mtd-000000001354
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 1354. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
93
21
2
0.9
true
CC-BY-4.0
v1.1
mtd-000000001355
prompt_review
prompt_review_analysis
general_reasoning
hard
hard
en
Review the prompt for ambiguity, contradictions, and missing constraints.
Synthetic evaluation instance 1355. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
94
22
3
0.9
true
CC-BY-4.0
v1.1
mtd-000000001356
prompt_review
prompt_review_analysis
general_reasoning
hard
hard
en
Review the prompt for ambiguity, contradictions, and missing constraints.
Synthetic evaluation instance 1356. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
95
23
4
0.9
true
CC-BY-4.0
v1.1
mtd-000000001357
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 1357. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
96
24
5
0.9
true
CC-BY-4.0
v1.1
mtd-000000001358
self_correction
error_repair
mathematics
hard
hard
en
Identify and correct the numerical error in the proposed answer.
Problem: 41 + 25 Proposed answer: 71
The proposed answer is incorrect. The correct answer is 66.
Recompute independently, compare with proposal, repair mismatch.
Independent recomputation.
exact
passed
Do not trust the proposed answer without verification.
passed
passed
answerable
1
0
3
true
false
Stop after independent correction.
15
0
25
6
0.9
true
CC-BY-4.0
v1.1
mtd-000000001359
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.
16
1
26
7
0.9
true
CC-BY-4.0
v1.1
mtd-000000001360
data_analysis
descriptive_statistics
statistics
hard
hard
en
Calculate the arithmetic mean of the supplied dataset.
Dataset: 20, 63, 78, 96, 56
Mean = 62.6000
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.
0
2
27
8
0.9
true
CC-BY-4.0
v1.1
mtd-000000001361
evidence_check
evidence_check_analysis
general_reasoning
hard
hard
en
Identify which claims require evidence before they can be asserted confidently.
Synthetic evaluation instance 1361. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
3
28
9
0.9
true
CC-BY-4.0
v1.1
mtd-000000001362
research
research_methodology
biology
hard
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.
2
4
29
10
0.9
true
CC-BY-4.0
v1.1
mtd-000000001363
counterexample
counterexample_analysis
general_reasoning
hard
hard
en
Construct a counterexample that tests whether a general claim always holds.
Synthetic evaluation instance 1363. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
5
30
11
0.9
true
CC-BY-4.0
v1.1
mtd-000000001364
research
research_methodology
computer security
hard
hard
en
Design a rigorous research procedure for investigating a question about computer security.
The procedure must distinguish evidence from assumptions and identify uncertainty.
1. Define the research question precisely. 2. Identify measurable variables and hypotheses. 3. Select appropriate primary and secondary sources. 4. Record provenance for each important claim. 5. Compare independent evidence. 6. Identify uncertainty and alternative explanations. 7. Report conclusions separately from obs...
Define question, gather evidence, evaluate sources, quantify uncertainty.
Methodological consistency check.
methodological
not_applicable
passed
not_applicable
not_applicable
required
required
Do not invent sources or findings.
Detect unsupported claims.
Remove or qualify unsupported claims.
answerable
0.92
0.08
4
true
false
Stop when methodology is complete and internally coherent.
4
6
0
12
0.9
true
CC-BY-4.0
v1.1
mtd-000000001365
prompt_review
prompt_review_analysis
general_reasoning
hard
hard
en
Review the prompt for ambiguity, contradictions, and missing constraints.
Synthetic evaluation instance 1365. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
7
1
0
0.9
true
CC-BY-4.0
v1.1
mtd-000000001366
consistency_check
consistency_check_analysis
general_reasoning
hard
hard
en
Check whether the supplied statements are mutually consistent.
Synthetic evaluation instance 1366. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
8
2
1
0.9
true
CC-BY-4.0
v1.1
mtd-000000001367
ambiguity
ambiguity_analysis
general_reasoning
hard
hard
en
Identify ambiguity in the request and state what information is missing.
Synthetic evaluation instance 1367. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
9
3
2
0.9
true
CC-BY-4.0
v1.1
mtd-000000001368
reasoning
comparison
general_reasoning
hard
hard
en
Compare two quantities and explain the comparison using only the provided values.
A = 67, B = 21
A is greater than B by 46.
Compare values and compute difference.
Check comparison and difference.
exact
passed
passed
Use only supplied values.
Check comparison direction.
Recompute difference.
answerable
1
0
2
true
false
Stop after comparison verification.
8
10
4
3
0.9
true
CC-BY-4.0
v1.1
mtd-000000001369
constraint_reasoning
constraint_reasoning_analysis
general_reasoning
hard
hard
en
Solve a problem while respecting multiple explicit constraints.
Synthetic evaluation instance 1369. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
11
5
4
0.9
true
CC-BY-4.0
v1.1
mtd-000000001370
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 1370. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
12
6
5
0.9
true
CC-BY-4.0
v1.1
mtd-000000001371
prompt_review
prompt_review_analysis
general_reasoning
hard
hard
en
Review the prompt for ambiguity, contradictions, and missing constraints.
Synthetic evaluation instance 1371. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
13
7
6
0.9
true
CC-BY-4.0
v1.1
mtd-000000001372
prompt_review
prompt_review_analysis
general_reasoning
hard
hard
en
Review the prompt for ambiguity, contradictions, and missing constraints.
Synthetic evaluation instance 1372. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
14
8
7
0.9
true
CC-BY-4.0
v1.1
mtd-000000001373
self_correction
error_repair
mathematics
hard
hard
en
Identify and correct the numerical error in the proposed answer.
Problem: 62 + 24 Proposed answer: 92
The proposed answer is incorrect. The correct answer is 86.
Recompute independently, compare with proposal, repair mismatch.
Independent recomputation.
exact
passed
Do not trust the proposed answer without verification.
passed
passed
answerable
1
0
3
true
false
Stop after independent correction.
13
15
9
8
0.9
true
CC-BY-4.0
v1.1
mtd-000000001374
fact_check
claim_verification
general_knowledge
hard
hard
en
Assess the claim and state whether it is correct. Do not invent evidence.
The Earth has one natural satellite.
Assessment: Correct. A reliable fact-check should verify the claim against an appropriate authoritative source.
Parse claim, identify factual assertion, verify against reliable evidence.
External evidence should be checked for real-world factual claims.
evidence
required
required
Never fabricate a citation.
Identify unsupported factual certainty.
Qualify or verify the claim.
answerable
0.85
0.15
3
true
false
Stop after evidence requirement is identified.
14
16
10
9
0.9
true
CC-BY-4.0
v1.1
mtd-000000001375
calibration
calibration_analysis
general_reasoning
very_hard
very_hard
en
Explain when a system should reduce confidence in its answer.
Synthetic evaluation instance 1375. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
17
11
10
0.9
true
CC-BY-4.0
v1.1
mtd-000000001376
planning
planning_analysis
general_reasoning
very_hard
very_hard
en
Create a concise plan for solving a complex technical problem.
Synthetic evaluation instance 1376. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
18
12
11
0.9
true
CC-BY-4.0
v1.1
mtd-000000001377
data_analysis
descriptive_statistics
statistics
very_hard
very_hard
en
Calculate the arithmetic mean of the supplied dataset.
Dataset: 65, 48, 66, 80, 19
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.
0
19
13
12
0.9
true
CC-BY-4.0
v1.1
mtd-000000001378
reasoning
comparison
general_reasoning
very_hard
very_hard
en
Compare two quantities and explain the comparison using only the provided values.
A = 14, B = 60
B is greater than A by 46.
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
20
14
0
0.9
true
CC-BY-4.0
v1.1
mtd-000000001379
prompt_review
prompt_review_analysis
general_reasoning
very_hard
very_hard
en
Review the prompt for ambiguity, contradictions, and missing constraints.
Synthetic evaluation instance 1379. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
21
15
1
0.9
true
CC-BY-4.0
v1.1
mtd-000000001380
adversarial
adversarial_analysis
general_reasoning
very_hard
very_hard
en
Identify a plausible failure mode in the proposed reasoning.
Synthetic evaluation instance 1380. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
22
16
2
0.9
true
CC-BY-4.0
v1.1
mtd-000000001381
instruction_following
format_constraint
general
very_hard
very_hard
en
Return the supplied number doubled. Return only the final number.
2989
5978
Identify transformation and output constraint.
Check transformation and requested format.
constraint
passed
passed
passed
No unsupported content.
answerable
1
0
1
true
false
Stop when requested format is satisfied.
4
23
17
3
0.9
true
CC-BY-4.0
v1.1
mtd-000000001382
planning
planning_analysis
general_reasoning
very_hard
very_hard
en
Create a concise plan for solving a complex technical problem.
Synthetic evaluation instance 1382. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
24
18
4
0.9
true
CC-BY-4.0
v1.1
mtd-000000001383
data_analysis
descriptive_statistics
statistics
very_hard
very_hard
en
Calculate the arithmetic mean of the supplied dataset.
Dataset: 71, 96, 24, 58, 98
Mean = 69.4000
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
25
19
5
0.9
true
CC-BY-4.0
v1.1
mtd-000000001384
calibration
calibration_analysis
general_reasoning
very_hard
very_hard
en
Explain when a system should reduce confidence in its answer.
Synthetic evaluation instance 1384. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
26
20
6
0.9
true
CC-BY-4.0
v1.1
mtd-000000001385
generalization
generalization_analysis
general_reasoning
very_hard
very_hard
en
Explain how to test whether a model generalizes beyond familiar examples.
Synthetic evaluation instance 1385. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
27
21
7
0.9
true
CC-BY-4.0
v1.1
mtd-000000001386
code
function_generation
programming
very_hard
very_hard
en
Write Python code that returns the square of an integer.
Input example: n = 7212
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.
9
28
22
8
0.9
true
CC-BY-4.0
v1.1
mtd-000000001387
prompt_review
prompt_review_analysis
general_reasoning
very_hard
very_hard
en
Review the prompt for ambiguity, contradictions, and missing constraints.
Synthetic evaluation instance 1387. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
29
23
9
0.9
true
CC-BY-4.0
v1.1
mtd-000000001388
instruction_following
format_constraint
general
very_hard
very_hard
en
Return the supplied number doubled. Return only the final number.
641
1282
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.
11
30
24
10
0.9
true
CC-BY-4.0
v1.1
mtd-000000001389
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 1389. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
31
25
11
0.9
true
CC-BY-4.0
v1.1
mtd-000000001390
fact_check
claim_verification
general_knowledge
very_hard
very_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.
13
32
26
12
0.9
true
CC-BY-4.0
v1.1
mtd-000000001391
prompt_review
prompt_review_analysis
general_reasoning
very_hard
very_hard
en
Review the prompt for ambiguity, contradictions, and missing constraints.
Synthetic evaluation instance 1391. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
33
27
0
0.9
true
CC-BY-4.0
v1.1
mtd-000000001392
prompt_review
prompt_review_analysis
general_reasoning
very_hard
very_hard
en
Review the prompt for ambiguity, contradictions, and missing constraints.
Synthetic evaluation instance 1392. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
34
28
1
0.9
true
CC-BY-4.0
v1.1
mtd-000000001393
adversarial
adversarial_analysis
general_reasoning
very_hard
very_hard
en
Identify a plausible failure mode in the proposed reasoning.
Synthetic evaluation instance 1393. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
35
29
2
0.9
true
CC-BY-4.0
v1.1
mtd-000000001394
self_correction
error_repair
mathematics
very_hard
very_hard
en
Identify and correct the numerical error in the proposed answer.
Problem: 97 + 93 Proposed answer: 199
The proposed answer is incorrect. The correct answer is 190.
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
36
30
3
0.9
true
CC-BY-4.0
v1.1
mtd-000000001395
adversarial
adversarial_analysis
general_reasoning
extreme
extreme
en
Identify a plausible failure mode in the proposed reasoning.
Synthetic evaluation instance 1395. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
37
0
4
0.9
true
CC-BY-4.0
v1.1
mtd-000000001396
code
function_generation
programming
extreme
extreme
en
Write Python code that returns the square of an integer.
Input example: n = 45626
def square(n): return n * n
Identify required input/output and implement minimal function.
Static code contract check.
static_contract
not_applicable
not_applicable
not_applicable
passed
not_applicable
not_applicable
No external API assumptions.
Check function signature and operation.
Correct implementation if contract is violated.
answerable
0.99
0.01
1
true
false
Stop after contract verification.
2
38
1
5
0.9
true
CC-BY-4.0
v1.1
mtd-000000001397
prompt_review
prompt_review_analysis
general_reasoning
extreme
extreme
en
Review the prompt for ambiguity, contradictions, and missing constraints.
Synthetic evaluation instance 1397. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
39
2
6
0.9
true
CC-BY-4.0
v1.1
mtd-000000001398
error_analysis
error_analysis_analysis
general_reasoning
extreme
extreme
en
Classify the likely cause of an incorrect answer and propose a repair.
Synthetic evaluation instance 1398. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
40
3
7
0.9
true
CC-BY-4.0
v1.1
mtd-000000001399
code
function_generation
programming
extreme
extreme
en
Write Python code that returns the square of an integer.
Input example: n = 36567
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
41
4
8
0.9
true
CC-BY-4.0
v1.1