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-000000011700
generalization
generalization_analysis
general_reasoning
easy
easy
en
Explain how to test whether a model generalizes beyond familiar examples.
Synthetic evaluation instance 11700. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
60
13
0
0.9
true
CC-BY-4.0
v1.1
mtd-000000011701
reasoning
comparison
general_reasoning
easy
easy
en
Compare two quantities and explain the comparison using only the provided values.
A = 28, B = 87
B is greater than A by 59.
Compare values and compute difference.
Check comparison and difference.
exact
passed
passed
Use only supplied values.
Check comparison direction.
Recompute difference.
answerable
1
0
2
true
false
Stop after comparison verification.
5
61
14
1
0.9
true
CC-BY-4.0
v1.1
mtd-000000011702
counterexample
counterexample_analysis
general_reasoning
easy
easy
en
Construct a counterexample that tests whether a general claim always holds.
Synthetic evaluation instance 11702. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
62
15
2
0.9
true
CC-BY-4.0
v1.1
mtd-000000011703
planning
planning_analysis
general_reasoning
easy
easy
en
Create a concise plan for solving a complex technical problem.
Synthetic evaluation instance 11703. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
63
16
3
0.9
true
CC-BY-4.0
v1.1
mtd-000000011704
calibration
calibration_analysis
general_reasoning
easy
easy
en
Explain when a system should reduce confidence in its answer.
Synthetic evaluation instance 11704. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
64
17
4
0.9
true
CC-BY-4.0
v1.1
mtd-000000011705
fact_check
claim_verification
general_knowledge
easy
easy
en
Assess the claim and state whether it is correct. Do not invent evidence.
All metals are liquid at room temperature.
Assessment: Incorrect. A reliable fact-check should verify the claim against an appropriate authoritative source.
Parse claim, identify factual assertion, verify against reliable evidence.
External evidence should be checked for real-world factual claims.
evidence
required
required
Never fabricate a citation.
Identify unsupported factual certainty.
Qualify or verify the claim.
answerable
0.85
0.15
3
true
false
Stop after evidence requirement is identified.
9
65
18
5
0.9
true
CC-BY-4.0
v1.1
mtd-000000011706
code
function_generation
programming
easy
easy
en
Write Python code that returns the square of an integer.
Input example: n = 7995
def square(n): return n * n
Identify required input/output and implement minimal function.
Static code contract check.
static_contract
not_applicable
not_applicable
not_applicable
passed
not_applicable
not_applicable
No external API assumptions.
Check function signature and operation.
Correct implementation if contract is violated.
answerable
0.99
0.01
1
true
false
Stop after contract verification.
10
66
19
6
0.9
true
CC-BY-4.0
v1.1
mtd-000000011707
instruction_following
format_constraint
general
easy
easy
en
Return the supplied number doubled. Return only the final number.
5958
11916
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
67
20
7
0.9
true
CC-BY-4.0
v1.1
mtd-000000011708
calibration
calibration_analysis
general_reasoning
easy
easy
en
Explain when a system should reduce confidence in its answer.
Synthetic evaluation instance 11708. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
68
21
8
0.9
true
CC-BY-4.0
v1.1
mtd-000000011709
data_analysis
descriptive_statistics
statistics
easy
easy
en
Calculate the arithmetic mean of the supplied dataset.
Dataset: 95, 93, 99, 19, 42
Mean = 69.6000
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.
13
69
22
9
0.9
true
CC-BY-4.0
v1.1
mtd-000000011710
math
arithmetic
mathematics
medium
medium
en
Solve the following arithmetic problem exactly: 916251 - 834829
81422
Identify operation, compute exactly, verify result.
Exact arithmetic verification.
exact
passed
not_applicable
not_applicable
not_applicable
not_applicable
not_applicable
Use only supplied operands.
Check arithmetic operation.
Recompute if mismatch detected.
answerable
1
0
1
true
false
Stop after exact verification.
14
70
23
10
0.9
true
CC-BY-4.0
v1.1
mtd-000000011711
ambiguity
ambiguity_analysis
general_reasoning
medium
medium
en
Identify ambiguity in the request and state what information is missing.
Synthetic evaluation instance 11711. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
71
24
11
0.9
true
CC-BY-4.0
v1.1
mtd-000000011712
self_correction
error_repair
mathematics
medium
medium
en
Identify and correct the numerical error in the proposed answer.
Problem: 32 + 22 Proposed answer: 57
The proposed answer is incorrect. The correct answer is 54.
Recompute independently, compare with proposal, repair mismatch.
Independent recomputation.
exact
passed
Do not trust the proposed answer without verification.
passed
passed
answerable
1
0
3
true
false
Stop after independent correction.
16
72
25
12
0.9
true
CC-BY-4.0
v1.1
mtd-000000011713
reasoning
comparison
general_reasoning
medium
medium
en
Compare two quantities and explain the comparison using only the provided values.
A = 8, B = 77
B is greater than A by 69.
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
73
26
0
0.9
true
CC-BY-4.0
v1.1
mtd-000000011714
adversarial
adversarial_analysis
general_reasoning
medium
medium
en
Identify a plausible failure mode in the proposed reasoning.
Synthetic evaluation instance 11714. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
74
27
1
0.9
true
CC-BY-4.0
v1.1
mtd-000000011715
calibration
calibration_analysis
general_reasoning
medium
medium
en
Explain when a system should reduce confidence in its answer.
Synthetic evaluation instance 11715. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
75
28
2
0.9
true
CC-BY-4.0
v1.1
mtd-000000011716
constraint_reasoning
constraint_reasoning_analysis
general_reasoning
medium
medium
en
Solve a problem while respecting multiple explicit constraints.
Synthetic evaluation instance 11716. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
76
29
3
0.9
true
CC-BY-4.0
v1.1
mtd-000000011717
research
research_methodology
machine learning
medium
medium
en
Design a rigorous research procedure for investigating a question about machine learning.
The procedure must distinguish evidence from assumptions and identify uncertainty.
1. Define the research question precisely. 2. Identify measurable variables and hypotheses. 3. Select appropriate primary and secondary sources. 4. Record provenance for each important claim. 5. Compare independent evidence. 6. Identify uncertainty and alternative explanations. 7. Report conclusions separately from obs...
Define question, gather evidence, evaluate sources, quantify uncertainty.
Methodological consistency check.
methodological
not_applicable
passed
not_applicable
not_applicable
required
required
Do not invent sources or findings.
Detect unsupported claims.
Remove or qualify unsupported claims.
answerable
0.92
0.08
4
true
false
Stop when methodology is complete and internally coherent.
4
77
30
4
0.9
true
CC-BY-4.0
v1.1
mtd-000000011718
self_correction
error_repair
mathematics
medium
medium
en
Identify and correct the numerical error in the proposed answer.
Problem: 46 + 58 Proposed answer: 110
The proposed answer is incorrect. The correct answer is 104.
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.
5
78
0
5
0.9
true
CC-BY-4.0
v1.1
mtd-000000011719
instruction_following
format_constraint
general
medium
medium
en
Return the supplied number doubled. Return only the final number.
3988
7976
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.
6
79
1
6
0.9
true
CC-BY-4.0
v1.1
mtd-000000011720
evidence_check
evidence_check_analysis
general_reasoning
medium
medium
en
Identify which claims require evidence before they can be asserted confidently.
Synthetic evaluation instance 11720. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
80
2
7
0.9
true
CC-BY-4.0
v1.1
mtd-000000011721
research
research_methodology
machine learning
medium
medium
en
Design a rigorous research procedure for investigating a question about machine learning.
The procedure must distinguish evidence from assumptions and identify uncertainty.
1. Define the research question precisely. 2. Identify measurable variables and hypotheses. 3. Select appropriate primary and secondary sources. 4. Record provenance for each important claim. 5. Compare independent evidence. 6. Identify uncertainty and alternative explanations. 7. Report conclusions separately from obs...
Define question, gather evidence, evaluate sources, quantify uncertainty.
Methodological consistency check.
methodological
not_applicable
passed
not_applicable
not_applicable
required
required
Do not invent sources or findings.
Detect unsupported claims.
Remove or qualify unsupported claims.
answerable
0.92
0.08
4
true
false
Stop when methodology is complete and internally coherent.
8
81
3
8
0.9
true
CC-BY-4.0
v1.1
mtd-000000011722
self_correction
error_repair
mathematics
medium
medium
en
Identify and correct the numerical error in the proposed answer.
Problem: 49 + 62 Proposed answer: 118
The proposed answer is incorrect. The correct answer is 111.
Recompute independently, compare with proposal, repair mismatch.
Independent recomputation.
exact
passed
Do not trust the proposed answer without verification.
passed
passed
answerable
1
0
3
true
false
Stop after independent correction.
9
82
4
9
0.9
true
CC-BY-4.0
v1.1
mtd-000000011723
instruction_following
format_constraint
general
medium
medium
en
Return the supplied number doubled. Return only the final number.
9709
19418
Identify transformation and output constraint.
Check transformation and requested format.
constraint
passed
passed
passed
No unsupported content.
answerable
1
0
1
true
false
Stop when requested format is satisfied.
10
83
5
10
0.9
true
CC-BY-4.0
v1.1
mtd-000000011724
research
research_methodology
machine learning
medium
medium
en
Design a rigorous research procedure for investigating a question about machine learning.
The procedure must distinguish evidence from assumptions and identify uncertainty.
1. Define the research question precisely. 2. Identify measurable variables and hypotheses. 3. Select appropriate primary and secondary sources. 4. Record provenance for each important claim. 5. Compare independent evidence. 6. Identify uncertainty and alternative explanations. 7. Report conclusions separately from obs...
Define question, gather evidence, evaluate sources, quantify uncertainty.
Methodological consistency check.
methodological
not_applicable
passed
not_applicable
not_applicable
required
required
Do not invent sources or findings.
Detect unsupported claims.
Remove or qualify unsupported claims.
answerable
0.92
0.08
4
true
false
Stop when methodology is complete and internally coherent.
11
84
6
11
0.9
true
CC-BY-4.0
v1.1
mtd-000000011725
code
function_generation
programming
medium
medium
en
Write Python code that returns the square of an integer.
Input example: n = 66085
def square(n): return n * n
Identify required input/output and implement minimal function.
Static code contract check.
static_contract
not_applicable
not_applicable
not_applicable
passed
not_applicable
not_applicable
No external API assumptions.
Check function signature and operation.
Correct implementation if contract is violated.
answerable
0.99
0.01
1
true
false
Stop after contract verification.
12
85
7
12
0.9
true
CC-BY-4.0
v1.1
mtd-000000011726
consistency_check
consistency_check_analysis
general_reasoning
medium
medium
en
Check whether the supplied statements are mutually consistent.
Synthetic evaluation instance 11726. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
86
8
0
0.9
true
CC-BY-4.0
v1.1
mtd-000000011727
calibration
calibration_analysis
general_reasoning
medium
medium
en
Explain when a system should reduce confidence in its answer.
Synthetic evaluation instance 11727. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
87
9
1
0.9
true
CC-BY-4.0
v1.1
mtd-000000011728
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 11728. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
88
10
2
0.9
true
CC-BY-4.0
v1.1
mtd-000000011729
ambiguity
ambiguity_analysis
general_reasoning
medium
medium
en
Identify ambiguity in the request and state what information is missing.
Synthetic evaluation instance 11729. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
89
11
3
0.9
true
CC-BY-4.0
v1.1
mtd-000000011730
calibration
calibration_analysis
general_reasoning
medium
medium
en
Explain when a system should reduce confidence in its answer.
Synthetic evaluation instance 11730. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
90
12
4
0.9
true
CC-BY-4.0
v1.1
mtd-000000011731
data_analysis
descriptive_statistics
statistics
medium
medium
en
Calculate the arithmetic mean of the supplied dataset.
Dataset: 60, 88, 42, 98, 89
Mean = 75.4000
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.
1
91
13
5
0.9
true
CC-BY-4.0
v1.1
mtd-000000011732
adversarial
adversarial_analysis
general_reasoning
medium
medium
en
Identify a plausible failure mode in the proposed reasoning.
Synthetic evaluation instance 11732. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
92
14
6
0.9
true
CC-BY-4.0
v1.1
mtd-000000011733
constraint_reasoning
constraint_reasoning_analysis
general_reasoning
medium
medium
en
Solve a problem while respecting multiple explicit constraints.
Synthetic evaluation instance 11733. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
93
15
7
0.9
true
CC-BY-4.0
v1.1
mtd-000000011734
planning
planning_analysis
general_reasoning
medium
medium
en
Create a concise plan for solving a complex technical problem.
Synthetic evaluation instance 11734. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
94
16
8
0.9
true
CC-BY-4.0
v1.1
mtd-000000011735
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 11735. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
95
17
9
0.9
true
CC-BY-4.0
v1.1
mtd-000000011736
self_correction
error_repair
mathematics
medium
medium
en
Identify and correct the numerical error in the proposed answer.
Problem: 41 + 32 Proposed answer: 75
The proposed answer is incorrect. The correct answer is 73.
Recompute independently, compare with proposal, repair mismatch.
Independent recomputation.
exact
passed
Do not trust the proposed answer without verification.
passed
passed
answerable
1
0
3
true
false
Stop after independent correction.
6
96
18
10
0.9
true
CC-BY-4.0
v1.1
mtd-000000011737
adversarial
adversarial_analysis
general_reasoning
medium
medium
en
Identify a plausible failure mode in the proposed reasoning.
Synthetic evaluation instance 11737. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
0
19
11
0.9
true
CC-BY-4.0
v1.1
mtd-000000011738
self_correction
error_repair
mathematics
medium
medium
en
Identify and correct the numerical error in the proposed answer.
Problem: 79 + 75 Proposed answer: 161
The proposed answer is incorrect. The correct answer is 154.
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.
8
1
20
12
0.9
true
CC-BY-4.0
v1.1
mtd-000000011739
calibration
calibration_analysis
general_reasoning
medium
medium
en
Explain when a system should reduce confidence in its answer.
Synthetic evaluation instance 11739. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
2
21
0
0.9
true
CC-BY-4.0
v1.1
mtd-000000011740
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
3
22
1
0.9
true
CC-BY-4.0
v1.1
mtd-000000011741
generalization
generalization_analysis
general_reasoning
hard
hard
en
Explain how to test whether a model generalizes beyond familiar examples.
Synthetic evaluation instance 11741. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
4
23
2
0.9
true
CC-BY-4.0
v1.1
mtd-000000011742
math
arithmetic
mathematics
hard
hard
en
Solve the following arithmetic problem exactly: 990340 - 130945
859395
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
5
24
3
0.9
true
CC-BY-4.0
v1.1
mtd-000000011743
generalization
generalization_analysis
general_reasoning
hard
hard
en
Explain how to test whether a model generalizes beyond familiar examples.
Synthetic evaluation instance 11743. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
6
25
4
0.9
true
CC-BY-4.0
v1.1
mtd-000000011744
self_correction
error_repair
mathematics
hard
hard
en
Identify and correct the numerical error in the proposed answer.
Problem: 72 + 91 Proposed answer: 165
The proposed answer is incorrect. The correct answer is 163.
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
7
26
5
0.9
true
CC-BY-4.0
v1.1
mtd-000000011745
adversarial
adversarial_analysis
general_reasoning
hard
hard
en
Identify a plausible failure mode in the proposed reasoning.
Synthetic evaluation instance 11745. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
8
27
6
0.9
true
CC-BY-4.0
v1.1
mtd-000000011746
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.
16
9
28
7
0.9
true
CC-BY-4.0
v1.1
mtd-000000011747
instruction_following
format_constraint
general
hard
hard
en
Return the supplied number doubled. Return only the final number.
6080
12160
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.
0
10
29
8
0.9
true
CC-BY-4.0
v1.1
mtd-000000011748
code
function_generation
programming
hard
hard
en
Write Python code that returns the square of an integer.
Input example: n = 75272
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
11
30
9
0.9
true
CC-BY-4.0
v1.1
mtd-000000011749
prompt_review
prompt_review_analysis
general_reasoning
hard
hard
en
Review the prompt for ambiguity, contradictions, and missing constraints.
Synthetic evaluation instance 11749. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
12
0
10
0.9
true
CC-BY-4.0
v1.1
mtd-000000011750
instruction_following
format_constraint
general
hard
hard
en
Return the supplied number doubled. Return only the final number.
6524
13048
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.
3
13
1
11
0.9
true
CC-BY-4.0
v1.1
mtd-000000011751
constraint_reasoning
constraint_reasoning_analysis
general_reasoning
hard
hard
en
Solve a problem while respecting multiple explicit constraints.
Synthetic evaluation instance 11751. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
14
2
12
0.9
true
CC-BY-4.0
v1.1
mtd-000000011752
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.
5
15
3
0
0.9
true
CC-BY-4.0
v1.1
mtd-000000011753
counterexample
counterexample_analysis
general_reasoning
hard
hard
en
Construct a counterexample that tests whether a general claim always holds.
Synthetic evaluation instance 11753. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
16
4
1
0.9
true
CC-BY-4.0
v1.1
mtd-000000011754
reasoning
comparison
general_reasoning
hard
hard
en
Compare two quantities and explain the comparison using only the provided values.
A = 24, B = 99
B is greater than A by 75.
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.
7
17
5
2
0.9
true
CC-BY-4.0
v1.1
mtd-000000011755
consistency_check
consistency_check_analysis
general_reasoning
hard
hard
en
Check whether the supplied statements are mutually consistent.
Synthetic evaluation instance 11755. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
18
6
3
0.9
true
CC-BY-4.0
v1.1
mtd-000000011756
logic
deductive_reasoning
logic
hard
hard
en
Determine whether the conclusion follows from the given statements.
If x > 4, then x is positive. x = 4. y = 20.
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
19
7
4
0.9
true
CC-BY-4.0
v1.1
mtd-000000011757
planning
planning_analysis
general_reasoning
hard
hard
en
Create a concise plan for solving a complex technical problem.
Synthetic evaluation instance 11757. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
20
8
5
0.9
true
CC-BY-4.0
v1.1
mtd-000000011758
evidence_check
evidence_check_analysis
general_reasoning
hard
hard
en
Identify which claims require evidence before they can be asserted confidently.
Synthetic evaluation instance 11758. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
21
9
6
0.9
true
CC-BY-4.0
v1.1
mtd-000000011759
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.
12
22
10
7
0.9
true
CC-BY-4.0
v1.1
mtd-000000011760
planning
planning_analysis
general_reasoning
hard
hard
en
Create a concise plan for solving a complex technical problem.
Synthetic evaluation instance 11760. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
23
11
8
0.9
true
CC-BY-4.0
v1.1
mtd-000000011761
fact_check
claim_verification
general_knowledge
hard
hard
en
Assess the claim and state whether it is correct. Do not invent evidence.
A triangle has four sides.
Assessment: Incorrect. A reliable fact-check should verify the claim against an appropriate authoritative source.
Parse claim, identify factual assertion, verify against reliable evidence.
External evidence should be checked for real-world factual claims.
evidence
required
required
Never fabricate a citation.
Identify unsupported factual certainty.
Qualify or verify the claim.
answerable
0.85
0.15
3
true
false
Stop after evidence requirement is identified.
14
24
12
9
0.9
true
CC-BY-4.0
v1.1
mtd-000000011762
math
arithmetic
mathematics
hard
hard
en
Solve the following arithmetic problem exactly: 2579774 ÷ 359
2579774
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.
15
25
13
10
0.9
true
CC-BY-4.0
v1.1
mtd-000000011763
consistency_check
consistency_check_analysis
general_reasoning
hard
hard
en
Check whether the supplied statements are mutually consistent.
Synthetic evaluation instance 11763. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
26
14
11
0.9
true
CC-BY-4.0
v1.1
mtd-000000011764
counterexample
counterexample_analysis
general_reasoning
hard
hard
en
Construct a counterexample that tests whether a general claim always holds.
Synthetic evaluation instance 11764. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
27
15
12
0.9
true
CC-BY-4.0
v1.1
mtd-000000011765
code
function_generation
programming
hard
hard
en
Write Python code that returns the square of an integer.
Input example: n = 65465
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
28
16
0
0.9
true
CC-BY-4.0
v1.1
mtd-000000011766
reasoning
comparison
general_reasoning
hard
hard
en
Compare two quantities and explain the comparison using only the provided values.
A = 9, B = 47
B is greater than A by 38.
Compare values and compute difference.
Check comparison and difference.
exact
passed
passed
Use only supplied values.
Check comparison direction.
Recompute difference.
answerable
1
0
2
true
false
Stop after comparison verification.
2
29
17
1
0.9
true
CC-BY-4.0
v1.1
mtd-000000011767
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 11767. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
30
18
2
0.9
true
CC-BY-4.0
v1.1
mtd-000000011768
constraint_reasoning
constraint_reasoning_analysis
general_reasoning
hard
hard
en
Solve a problem while respecting multiple explicit constraints.
Synthetic evaluation instance 11768. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
31
19
3
0.9
true
CC-BY-4.0
v1.1
mtd-000000011769
reasoning
comparison
general_reasoning
hard
hard
en
Compare two quantities and explain the comparison using only the provided values.
A = 28, B = 22
A is greater than B by 6.
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
32
20
4
0.9
true
CC-BY-4.0
v1.1
mtd-000000011770
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 11770. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
33
21
5
0.9
true
CC-BY-4.0
v1.1
mtd-000000011771
instruction_following
format_constraint
general
hard
hard
en
Return the supplied number doubled. Return only the final number.
3461
6922
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
34
22
6
0.9
true
CC-BY-4.0
v1.1
mtd-000000011772
logic
deductive_reasoning
logic
hard
hard
en
Determine whether the conclusion follows from the given statements.
If x > 97, then x is positive. x = 97. y = 99.
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
35
23
7
0.9
true
CC-BY-4.0
v1.1
mtd-000000011773
code
function_generation
programming
hard
hard
en
Write Python code that returns the square of an integer.
Input example: n = 61674
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
36
24
8
0.9
true
CC-BY-4.0
v1.1
mtd-000000011774
calibration
calibration_analysis
general_reasoning
hard
hard
en
Explain when a system should reduce confidence in its answer.
Synthetic evaluation instance 11774. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
37
25
9
0.9
true
CC-BY-4.0
v1.1
mtd-000000011775
adversarial
adversarial_analysis
general_reasoning
very_hard
very_hard
en
Identify a plausible failure mode in the proposed reasoning.
Synthetic evaluation instance 11775. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
38
26
10
0.9
true
CC-BY-4.0
v1.1
mtd-000000011776
adversarial
adversarial_analysis
general_reasoning
very_hard
very_hard
en
Identify a plausible failure mode in the proposed reasoning.
Synthetic evaluation instance 11776. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
39
27
11
0.9
true
CC-BY-4.0
v1.1
mtd-000000011777
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 11777. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
40
28
12
0.9
true
CC-BY-4.0
v1.1
mtd-000000011778
data_analysis
descriptive_statistics
statistics
very_hard
very_hard
en
Calculate the arithmetic mean of the supplied dataset.
Dataset: 87, 74, 82, 2, 31
Mean = 55.2000
Parse values, sum them, divide by count, verify.
Recompute sum and count.
exact
passed
not_applicable
passed
not_applicable
not_applicable
not_applicable
Use only supplied dataset.
Check arithmetic and denominator.
Recompute statistic.
answerable
1
0
2
true
false
Stop after numerical verification.
14
41
29
0
0.9
true
CC-BY-4.0
v1.1
mtd-000000011779
instruction_following
format_constraint
general
very_hard
very_hard
en
Return the supplied number doubled. Return only the final number.
1207
2414
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
42
30
1
0.9
true
CC-BY-4.0
v1.1
mtd-000000011780
calibration
calibration_analysis
general_reasoning
very_hard
very_hard
en
Explain when a system should reduce confidence in its answer.
Synthetic evaluation instance 11780. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
43
0
2
0.9
true
CC-BY-4.0
v1.1
mtd-000000011781
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 11781. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
44
1
3
0.9
true
CC-BY-4.0
v1.1
mtd-000000011782
data_analysis
descriptive_statistics
statistics
very_hard
very_hard
en
Calculate the arithmetic mean of the supplied dataset.
Dataset: 14, 45, 41, 40, 37
Mean = 35.4000
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.
1
45
2
4
0.9
true
CC-BY-4.0
v1.1
mtd-000000011783
ambiguity
ambiguity_analysis
general_reasoning
very_hard
very_hard
en
Identify ambiguity in the request and state what information is missing.
Synthetic evaluation instance 11783. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
46
3
5
0.9
true
CC-BY-4.0
v1.1
mtd-000000011784
constraint_reasoning
constraint_reasoning_analysis
general_reasoning
very_hard
very_hard
en
Solve a problem while respecting multiple explicit constraints.
Synthetic evaluation instance 11784. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
47
4
6
0.9
true
CC-BY-4.0
v1.1
mtd-000000011785
planning
planning_analysis
general_reasoning
very_hard
very_hard
en
Create a concise plan for solving a complex technical problem.
Synthetic evaluation instance 11785. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
48
5
7
0.9
true
CC-BY-4.0
v1.1
mtd-000000011786
data_analysis
descriptive_statistics
statistics
very_hard
very_hard
en
Calculate the arithmetic mean of the supplied dataset.
Dataset: 55, 83, 15, 98, 62
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.
5
49
6
8
0.9
true
CC-BY-4.0
v1.1
mtd-000000011787
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 11787. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
50
7
9
0.9
true
CC-BY-4.0
v1.1
mtd-000000011788
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.
7
51
8
10
0.9
true
CC-BY-4.0
v1.1
mtd-000000011789
counterexample
counterexample_analysis
general_reasoning
very_hard
very_hard
en
Construct a counterexample that tests whether a general claim always holds.
Synthetic evaluation instance 11789. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
52
9
11
0.9
true
CC-BY-4.0
v1.1
mtd-000000011790
planning
planning_analysis
general_reasoning
very_hard
very_hard
en
Create a concise plan for solving a complex technical problem.
Synthetic evaluation instance 11790. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
53
10
12
0.9
true
CC-BY-4.0
v1.1
mtd-000000011791
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 11791. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
54
11
0
0.9
true
CC-BY-4.0
v1.1
mtd-000000011792
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.
11
55
12
1
0.9
true
CC-BY-4.0
v1.1
mtd-000000011793
math
arithmetic
mathematics
very_hard
very_hard
en
Solve the following arithmetic problem exactly: 26465 ÷ 395
26465
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
56
13
2
0.9
true
CC-BY-4.0
v1.1
mtd-000000011794
prompt_review
prompt_review_analysis
general_reasoning
very_hard
very_hard
en
Review the prompt for ambiguity, contradictions, and missing constraints.
Synthetic evaluation instance 11794. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
57
14
3
0.9
true
CC-BY-4.0
v1.1
mtd-000000011795
prompt_review
prompt_review_analysis
general_reasoning
extreme
extreme
en
Review the prompt for ambiguity, contradictions, and missing constraints.
Synthetic evaluation instance 11795. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
58
15
4
0.9
true
CC-BY-4.0
v1.1
mtd-000000011796
prompt_review
prompt_review_analysis
general_reasoning
extreme
extreme
en
Review the prompt for ambiguity, contradictions, and missing constraints.
Synthetic evaluation instance 11796. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
59
16
5
0.9
true
CC-BY-4.0
v1.1
mtd-000000011797
adversarial
adversarial_analysis
general_reasoning
extreme
extreme
en
Identify a plausible failure mode in the proposed reasoning.
Synthetic evaluation instance 11797. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
60
17
6
0.9
true
CC-BY-4.0
v1.1
mtd-000000011798
ambiguity
ambiguity_analysis
general_reasoning
extreme
extreme
en
Identify ambiguity in the request and state what information is missing.
Synthetic evaluation instance 11798. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
61
18
7
0.9
true
CC-BY-4.0
v1.1
mtd-000000011799
prompt_review
prompt_review_analysis
general_reasoning
extreme
extreme
en
Review the prompt for ambiguity, contradictions, and missing constraints.
Synthetic evaluation instance 11799. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
62
19
8
0.9
true
CC-BY-4.0
v1.1