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-000000004000
instruction_following
format_constraint
general
easy
easy
en
Return the supplied number doubled. Return only the final number.
8008
16016
Identify transformation and output constraint.
Check transformation and requested format.
constraint
passed
passed
passed
No unsupported content.
answerable
1
0
1
true
false
Stop when requested format is satisfied.
5
23
1
9
0.9
true
CC-BY-4.0
v1.1
mtd-000000004001
adversarial
adversarial_analysis
general_reasoning
easy
easy
en
Identify a plausible failure mode in the proposed reasoning.
Synthetic evaluation instance 4001. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
24
2
10
0.9
true
CC-BY-4.0
v1.1
mtd-000000004002
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 4002. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
25
3
11
0.9
true
CC-BY-4.0
v1.1
mtd-000000004003
math
arithmetic
mathematics
easy
easy
en
Solve the following arithmetic problem exactly: 254193 - 194512
59681
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.
8
26
4
12
0.9
true
CC-BY-4.0
v1.1
mtd-000000004004
reasoning
comparison
general_reasoning
easy
easy
en
Compare two quantities and explain the comparison using only the provided values.
A = 95, B = 16
A is greater than B by 79.
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
27
5
0
0.9
true
CC-BY-4.0
v1.1
mtd-000000004005
constraint_reasoning
constraint_reasoning_analysis
general_reasoning
easy
easy
en
Solve a problem while respecting multiple explicit constraints.
Synthetic evaluation instance 4005. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
28
6
1
0.9
true
CC-BY-4.0
v1.1
mtd-000000004006
prompt_review
prompt_review_analysis
general_reasoning
easy
easy
en
Review the prompt for ambiguity, contradictions, and missing constraints.
Synthetic evaluation instance 4006. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
29
7
2
0.9
true
CC-BY-4.0
v1.1
mtd-000000004007
counterexample
counterexample_analysis
general_reasoning
easy
easy
en
Construct a counterexample that tests whether a general claim always holds.
Synthetic evaluation instance 4007. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
30
8
3
0.9
true
CC-BY-4.0
v1.1
mtd-000000004008
reasoning
comparison
general_reasoning
easy
easy
en
Compare two quantities and explain the comparison using only the provided values.
A = 56, B = 3
A is greater than B by 53.
Compare values and compute difference.
Check comparison and difference.
exact
passed
passed
Use only supplied values.
Check comparison direction.
Recompute difference.
answerable
1
0
2
true
false
Stop after comparison verification.
13
31
9
4
0.9
true
CC-BY-4.0
v1.1
mtd-000000004009
constraint_reasoning
constraint_reasoning_analysis
general_reasoning
easy
easy
en
Solve a problem while respecting multiple explicit constraints.
Synthetic evaluation instance 4009. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
32
10
5
0.9
true
CC-BY-4.0
v1.1
mtd-000000004010
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 4010. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
33
11
6
0.9
true
CC-BY-4.0
v1.1
mtd-000000004011
data_analysis
descriptive_statistics
statistics
medium
medium
en
Calculate the arithmetic mean of the supplied dataset.
Dataset: 81, 77, 74, 97, 55
Mean = 76.8000
Parse values, sum them, divide by count, verify.
Recompute sum and count.
exact
passed
not_applicable
passed
not_applicable
not_applicable
not_applicable
Use only supplied dataset.
Check arithmetic and denominator.
Recompute statistic.
answerable
1
0
2
true
false
Stop after numerical verification.
16
34
12
7
0.9
true
CC-BY-4.0
v1.1
mtd-000000004012
calibration
calibration_analysis
general_reasoning
medium
medium
en
Explain when a system should reduce confidence in its answer.
Synthetic evaluation instance 4012. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
35
13
8
0.9
true
CC-BY-4.0
v1.1
mtd-000000004013
counterexample
counterexample_analysis
general_reasoning
medium
medium
en
Construct a counterexample that tests whether a general claim always holds.
Synthetic evaluation instance 4013. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
36
14
9
0.9
true
CC-BY-4.0
v1.1
mtd-000000004014
planning
planning_analysis
general_reasoning
medium
medium
en
Create a concise plan for solving a complex technical problem.
Synthetic evaluation instance 4014. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
37
15
10
0.9
true
CC-BY-4.0
v1.1
mtd-000000004015
research
research_methodology
climate science
medium
medium
en
Design a rigorous research procedure for investigating a question about climate science.
The procedure must distinguish evidence from assumptions and identify uncertainty.
1. Define the research question precisely. 2. Identify measurable variables and hypotheses. 3. Select appropriate primary and secondary sources. 4. Record provenance for each important claim. 5. Compare independent evidence. 6. Identify uncertainty and alternative explanations. 7. Report conclusions separately from obs...
Define question, gather evidence, evaluate sources, quantify uncertainty.
Methodological consistency check.
methodological
not_applicable
passed
not_applicable
not_applicable
required
required
Do not invent sources or findings.
Detect unsupported claims.
Remove or qualify unsupported claims.
answerable
0.92
0.08
4
true
false
Stop when methodology is complete and internally coherent.
3
38
16
11
0.9
true
CC-BY-4.0
v1.1
mtd-000000004016
consistency_check
consistency_check_analysis
general_reasoning
medium
medium
en
Check whether the supplied statements are mutually consistent.
Synthetic evaluation instance 4016. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
39
17
12
0.9
true
CC-BY-4.0
v1.1
mtd-000000004017
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 4017. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
40
18
0
0.9
true
CC-BY-4.0
v1.1
mtd-000000004018
research
research_methodology
biology
medium
medium
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.
6
41
19
1
0.9
true
CC-BY-4.0
v1.1
mtd-000000004019
generalization
generalization_analysis
general_reasoning
medium
medium
en
Explain how to test whether a model generalizes beyond familiar examples.
Synthetic evaluation instance 4019. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
42
20
2
0.9
true
CC-BY-4.0
v1.1
mtd-000000004020
reasoning
comparison
general_reasoning
medium
medium
en
Compare two quantities and explain the comparison using only the provided values.
A = 72, B = 55
A is greater than B 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.
8
43
21
3
0.9
true
CC-BY-4.0
v1.1
mtd-000000004021
calibration
calibration_analysis
general_reasoning
medium
medium
en
Explain when a system should reduce confidence in its answer.
Synthetic evaluation instance 4021. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
44
22
4
0.9
true
CC-BY-4.0
v1.1
mtd-000000004022
reasoning
comparison
general_reasoning
medium
medium
en
Compare two quantities and explain the comparison using only the provided values.
A = 60, B = 41
A is greater than B by 19.
Compare values and compute difference.
Check comparison and difference.
exact
passed
passed
Use only supplied values.
Check comparison direction.
Recompute difference.
answerable
1
0
2
true
false
Stop after comparison verification.
10
45
23
5
0.9
true
CC-BY-4.0
v1.1
mtd-000000004023
code
function_generation
programming
medium
medium
en
Write Python code that returns the square of an integer.
Input example: n = 70267
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
46
24
6
0.9
true
CC-BY-4.0
v1.1
mtd-000000004024
adversarial
adversarial_analysis
general_reasoning
medium
medium
en
Identify a plausible failure mode in the proposed reasoning.
Synthetic evaluation instance 4024. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
47
25
7
0.9
true
CC-BY-4.0
v1.1
mtd-000000004025
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 4025. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
48
26
8
0.9
true
CC-BY-4.0
v1.1
mtd-000000004026
generalization
generalization_analysis
general_reasoning
medium
medium
en
Explain how to test whether a model generalizes beyond familiar examples.
Synthetic evaluation instance 4026. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
49
27
9
0.9
true
CC-BY-4.0
v1.1
mtd-000000004027
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 4027. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
50
28
10
0.9
true
CC-BY-4.0
v1.1
mtd-000000004028
reasoning
comparison
general_reasoning
medium
medium
en
Compare two quantities and explain the comparison using only the provided values.
A = 33, B = 18
A is greater than B by 15.
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.
16
51
29
11
0.9
true
CC-BY-4.0
v1.1
mtd-000000004029
adversarial
adversarial_analysis
general_reasoning
medium
medium
en
Identify a plausible failure mode in the proposed reasoning.
Synthetic evaluation instance 4029. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
52
30
12
0.9
true
CC-BY-4.0
v1.1
mtd-000000004030
consistency_check
consistency_check_analysis
general_reasoning
medium
medium
en
Check whether the supplied statements are mutually consistent.
Synthetic evaluation instance 4030. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
53
0
0
0.9
true
CC-BY-4.0
v1.1
mtd-000000004031
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 4031. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
54
1
1
0.9
true
CC-BY-4.0
v1.1
mtd-000000004032
calibration
calibration_analysis
general_reasoning
medium
medium
en
Explain when a system should reduce confidence in its answer.
Synthetic evaluation instance 4032. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
55
2
2
0.9
true
CC-BY-4.0
v1.1
mtd-000000004033
fact_check
claim_verification
general_knowledge
medium
medium
en
Assess the claim and state whether it is correct. Do not invent evidence.
All metals are liquid at room temperature.
Assessment: Incorrect. A reliable fact-check should verify the claim against an appropriate authoritative source.
Parse claim, identify factual assertion, verify against reliable evidence.
External evidence should be checked for real-world factual claims.
evidence
required
required
Never fabricate a citation.
Identify unsupported factual certainty.
Qualify or verify the claim.
answerable
0.85
0.15
3
true
false
Stop after evidence requirement is identified.
4
56
3
3
0.9
true
CC-BY-4.0
v1.1
mtd-000000004034
consistency_check
consistency_check_analysis
general_reasoning
medium
medium
en
Check whether the supplied statements are mutually consistent.
Synthetic evaluation instance 4034. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
57
4
4
0.9
true
CC-BY-4.0
v1.1
mtd-000000004035
research
research_methodology
computer security
medium
medium
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.
6
58
5
5
0.9
true
CC-BY-4.0
v1.1
mtd-000000004036
adversarial
adversarial_analysis
general_reasoning
medium
medium
en
Identify a plausible failure mode in the proposed reasoning.
Synthetic evaluation instance 4036. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
59
6
6
0.9
true
CC-BY-4.0
v1.1
mtd-000000004037
prompt_review
prompt_review_analysis
general_reasoning
medium
medium
en
Review the prompt for ambiguity, contradictions, and missing constraints.
Synthetic evaluation instance 4037. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
60
7
7
0.9
true
CC-BY-4.0
v1.1
mtd-000000004038
consistency_check
consistency_check_analysis
general_reasoning
medium
medium
en
Check whether the supplied statements are mutually consistent.
Synthetic evaluation instance 4038. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
61
8
8
0.9
true
CC-BY-4.0
v1.1
mtd-000000004039
evidence_check
evidence_check_analysis
general_reasoning
medium
medium
en
Identify which claims require evidence before they can be asserted confidently.
Synthetic evaluation instance 4039. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
62
9
9
0.9
true
CC-BY-4.0
v1.1
mtd-000000004040
adversarial
adversarial_analysis
general_reasoning
hard
hard
en
Identify a plausible failure mode in the proposed reasoning.
Synthetic evaluation instance 4040. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
63
10
10
0.9
true
CC-BY-4.0
v1.1
mtd-000000004041
logic
deductive_reasoning
logic
hard
hard
en
Determine whether the conclusion follows from the given statements.
If x > 1, then x is positive. x = 1. y = 15.
Conclusion: x is positive. Result: Yes.
Identify premises, apply implication, verify conclusion.
Logical consistency check.
symbolic
not_applicable
passed
not_applicable
not_applicable
not_applicable
not_applicable
Reason only from supplied premises.
Check whether conclusion is entailed.
Re-evaluate premises if conclusion conflicts.
answerable
0.99
0.01
2
true
false
Stop once entailment is established.
12
64
11
11
0.9
true
CC-BY-4.0
v1.1
mtd-000000004042
research
research_methodology
statistics
hard
hard
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.
13
65
12
12
0.9
true
CC-BY-4.0
v1.1
mtd-000000004043
calibration
calibration_analysis
general_reasoning
hard
hard
en
Explain when a system should reduce confidence in its answer.
Synthetic evaluation instance 4043. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
66
13
0
0.9
true
CC-BY-4.0
v1.1
mtd-000000004044
ambiguity
ambiguity_analysis
general_reasoning
hard
hard
en
Identify ambiguity in the request and state what information is missing.
Synthetic evaluation instance 4044. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
67
14
1
0.9
true
CC-BY-4.0
v1.1
mtd-000000004045
consistency_check
consistency_check_analysis
general_reasoning
hard
hard
en
Check whether the supplied statements are mutually consistent.
Synthetic evaluation instance 4045. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
68
15
2
0.9
true
CC-BY-4.0
v1.1
mtd-000000004046
instruction_following
format_constraint
general
hard
hard
en
Return the supplied number doubled. Return only the final number.
6411
12822
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
69
16
3
0.9
true
CC-BY-4.0
v1.1
mtd-000000004047
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.
1
70
17
4
0.9
true
CC-BY-4.0
v1.1
mtd-000000004048
code
function_generation
programming
hard
hard
en
Write Python code that returns the square of an integer.
Input example: n = 93571
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
71
18
5
0.9
true
CC-BY-4.0
v1.1
mtd-000000004049
generalization
generalization_analysis
general_reasoning
hard
hard
en
Explain how to test whether a model generalizes beyond familiar examples.
Synthetic evaluation instance 4049. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
72
19
6
0.9
true
CC-BY-4.0
v1.1
mtd-000000004050
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.
4
73
20
7
0.9
true
CC-BY-4.0
v1.1
mtd-000000004051
instruction_following
format_constraint
general
hard
hard
en
Return the supplied number doubled. Return only the final number.
2514
5028
Identify transformation and output constraint.
Check transformation and requested format.
constraint
passed
passed
passed
No unsupported content.
answerable
1
0
1
true
false
Stop when requested format is satisfied.
5
74
21
8
0.9
true
CC-BY-4.0
v1.1
mtd-000000004052
calibration
calibration_analysis
general_reasoning
hard
hard
en
Explain when a system should reduce confidence in its answer.
Synthetic evaluation instance 4052. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
75
22
9
0.9
true
CC-BY-4.0
v1.1
mtd-000000004053
logic
deductive_reasoning
logic
hard
hard
en
Determine whether the conclusion follows from the given statements.
If x > 35, then x is positive. x = 35. y = 4.
Conclusion: x is positive. Result: Yes.
Identify premises, apply implication, verify conclusion.
Logical consistency check.
symbolic
not_applicable
passed
not_applicable
not_applicable
not_applicable
not_applicable
Reason only from supplied premises.
Check whether conclusion is entailed.
Re-evaluate premises if conclusion conflicts.
answerable
0.99
0.01
2
true
false
Stop once entailment is established.
7
76
23
10
0.9
true
CC-BY-4.0
v1.1
mtd-000000004054
prompt_review
prompt_review_analysis
general_reasoning
hard
hard
en
Review the prompt for ambiguity, contradictions, and missing constraints.
Synthetic evaluation instance 4054. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
77
24
11
0.9
true
CC-BY-4.0
v1.1
mtd-000000004055
calibration
calibration_analysis
general_reasoning
hard
hard
en
Explain when a system should reduce confidence in its answer.
Synthetic evaluation instance 4055. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
78
25
12
0.9
true
CC-BY-4.0
v1.1
mtd-000000004056
evidence_check
evidence_check_analysis
general_reasoning
hard
hard
en
Identify which claims require evidence before they can be asserted confidently.
Synthetic evaluation instance 4056. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
79
26
0
0.9
true
CC-BY-4.0
v1.1
mtd-000000004057
ambiguity
ambiguity_analysis
general_reasoning
hard
hard
en
Identify ambiguity in the request and state what information is missing.
Synthetic evaluation instance 4057. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
80
27
1
0.9
true
CC-BY-4.0
v1.1
mtd-000000004058
generalization
generalization_analysis
general_reasoning
hard
hard
en
Explain how to test whether a model generalizes beyond familiar examples.
Synthetic evaluation instance 4058. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
81
28
2
0.9
true
CC-BY-4.0
v1.1
mtd-000000004059
code
function_generation
programming
hard
hard
en
Write Python code that returns the square of an integer.
Input example: n = 19624
def square(n): return n * n
Identify required input/output and implement minimal function.
Static code contract check.
static_contract
not_applicable
not_applicable
not_applicable
passed
not_applicable
not_applicable
No external API assumptions.
Check function signature and operation.
Correct implementation if contract is violated.
answerable
0.99
0.01
1
true
false
Stop after contract verification.
13
82
29
3
0.9
true
CC-BY-4.0
v1.1
mtd-000000004060
logic
deductive_reasoning
logic
hard
hard
en
Determine whether the conclusion follows from the given statements.
If x > 14, then x is positive. x = 14. y = 5.
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.
14
83
30
4
0.9
true
CC-BY-4.0
v1.1
mtd-000000004061
logic
deductive_reasoning
logic
hard
hard
en
Determine whether the conclusion follows from the given statements.
If x > 29, then x is positive. x = 29. y = 98.
Conclusion: x is positive. Result: Yes.
Identify premises, apply implication, verify conclusion.
Logical consistency check.
symbolic
not_applicable
passed
not_applicable
not_applicable
not_applicable
not_applicable
Reason only from supplied premises.
Check whether conclusion is entailed.
Re-evaluate premises if conclusion conflicts.
answerable
0.99
0.01
2
true
false
Stop once entailment is established.
15
84
0
5
0.9
true
CC-BY-4.0
v1.1
mtd-000000004062
instruction_following
format_constraint
general
hard
hard
en
Return the supplied number doubled. Return only the final number.
2790
5580
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.
16
85
1
6
0.9
true
CC-BY-4.0
v1.1
mtd-000000004063
consistency_check
consistency_check_analysis
general_reasoning
hard
hard
en
Check whether the supplied statements are mutually consistent.
Synthetic evaluation instance 4063. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
86
2
7
0.9
true
CC-BY-4.0
v1.1
mtd-000000004064
planning
planning_analysis
general_reasoning
hard
hard
en
Create a concise plan for solving a complex technical problem.
Synthetic evaluation instance 4064. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
87
3
8
0.9
true
CC-BY-4.0
v1.1
mtd-000000004065
calibration
calibration_analysis
general_reasoning
hard
hard
en
Explain when a system should reduce confidence in its answer.
Synthetic evaluation instance 4065. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
88
4
9
0.9
true
CC-BY-4.0
v1.1
mtd-000000004066
instruction_following
format_constraint
general
hard
hard
en
Return the supplied number doubled. Return only the final number.
7873
15746
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
89
5
10
0.9
true
CC-BY-4.0
v1.1
mtd-000000004067
evidence_check
evidence_check_analysis
general_reasoning
hard
hard
en
Identify which claims require evidence before they can be asserted confidently.
Synthetic evaluation instance 4067. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
90
6
11
0.9
true
CC-BY-4.0
v1.1
mtd-000000004068
calibration
calibration_analysis
general_reasoning
hard
hard
en
Explain when a system should reduce confidence in its answer.
Synthetic evaluation instance 4068. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
91
7
12
0.9
true
CC-BY-4.0
v1.1
mtd-000000004069
generalization
generalization_analysis
general_reasoning
hard
hard
en
Explain how to test whether a model generalizes beyond familiar examples.
Synthetic evaluation instance 4069. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
92
8
0
0.9
true
CC-BY-4.0
v1.1
mtd-000000004070
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 4070. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
93
9
1
0.9
true
CC-BY-4.0
v1.1
mtd-000000004071
counterexample
counterexample_analysis
general_reasoning
hard
hard
en
Construct a counterexample that tests whether a general claim always holds.
Synthetic evaluation instance 4071. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
94
10
2
0.9
true
CC-BY-4.0
v1.1
mtd-000000004072
generalization
generalization_analysis
general_reasoning
hard
hard
en
Explain how to test whether a model generalizes beyond familiar examples.
Synthetic evaluation instance 4072. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
95
11
3
0.9
true
CC-BY-4.0
v1.1
mtd-000000004073
evidence_check
evidence_check_analysis
general_reasoning
hard
hard
en
Identify which claims require evidence before they can be asserted confidently.
Synthetic evaluation instance 4073. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
96
12
4
0.9
true
CC-BY-4.0
v1.1
mtd-000000004074
reasoning
comparison
general_reasoning
hard
hard
en
Compare two quantities and explain the comparison using only the provided values.
A = 98, B = 44
A is greater than B by 54.
Compare values and compute difference.
Check comparison and difference.
exact
passed
passed
Use only supplied values.
Check comparison direction.
Recompute difference.
answerable
1
0
2
true
false
Stop after comparison verification.
11
0
13
5
0.9
true
CC-BY-4.0
v1.1
mtd-000000004075
code
function_generation
programming
very_hard
very_hard
en
Write Python code that returns the square of an integer.
Input example: n = 97620
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
1
14
6
0.9
true
CC-BY-4.0
v1.1
mtd-000000004076
counterexample
counterexample_analysis
general_reasoning
very_hard
very_hard
en
Construct a counterexample that tests whether a general claim always holds.
Synthetic evaluation instance 4076. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
2
15
7
0.9
true
CC-BY-4.0
v1.1
mtd-000000004077
generalization
generalization_analysis
general_reasoning
very_hard
very_hard
en
Explain how to test whether a model generalizes beyond familiar examples.
Synthetic evaluation instance 4077. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
3
16
8
0.9
true
CC-BY-4.0
v1.1
mtd-000000004078
consistency_check
consistency_check_analysis
general_reasoning
very_hard
very_hard
en
Check whether the supplied statements are mutually consistent.
Synthetic evaluation instance 4078. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
4
17
9
0.9
true
CC-BY-4.0
v1.1
mtd-000000004079
prompt_review
prompt_review_analysis
general_reasoning
very_hard
very_hard
en
Review the prompt for ambiguity, contradictions, and missing constraints.
Synthetic evaluation instance 4079. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
5
18
10
0.9
true
CC-BY-4.0
v1.1
mtd-000000004080
counterexample
counterexample_analysis
general_reasoning
very_hard
very_hard
en
Construct a counterexample that tests whether a general claim always holds.
Synthetic evaluation instance 4080. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
6
19
11
0.9
true
CC-BY-4.0
v1.1
mtd-000000004081
prompt_review
prompt_review_analysis
general_reasoning
very_hard
very_hard
en
Review the prompt for ambiguity, contradictions, and missing constraints.
Synthetic evaluation instance 4081. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
7
20
12
0.9
true
CC-BY-4.0
v1.1
mtd-000000004082
code
function_generation
programming
very_hard
very_hard
en
Write Python code that returns the square of an integer.
Input example: n = 73706
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
8
21
0
0.9
true
CC-BY-4.0
v1.1
mtd-000000004083
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 4083. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
9
22
1
0.9
true
CC-BY-4.0
v1.1
mtd-000000004084
prompt_review
prompt_review_analysis
general_reasoning
very_hard
very_hard
en
Review the prompt for ambiguity, contradictions, and missing constraints.
Synthetic evaluation instance 4084. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
10
23
2
0.9
true
CC-BY-4.0
v1.1
mtd-000000004085
planning
planning_analysis
general_reasoning
very_hard
very_hard
en
Create a concise plan for solving a complex technical problem.
Synthetic evaluation instance 4085. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
11
24
3
0.9
true
CC-BY-4.0
v1.1
mtd-000000004086
constraint_reasoning
constraint_reasoning_analysis
general_reasoning
very_hard
very_hard
en
Solve a problem while respecting multiple explicit constraints.
Synthetic evaluation instance 4086. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
12
25
4
0.9
true
CC-BY-4.0
v1.1
mtd-000000004087
reasoning
comparison
general_reasoning
very_hard
very_hard
en
Compare two quantities and explain the comparison using only the provided values.
A = 68, B = 73
B is greater than A by 5.
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
13
26
5
0.9
true
CC-BY-4.0
v1.1
mtd-000000004088
planning
planning_analysis
general_reasoning
very_hard
very_hard
en
Create a concise plan for solving a complex technical problem.
Synthetic evaluation instance 4088. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
14
27
6
0.9
true
CC-BY-4.0
v1.1
mtd-000000004089
reasoning
comparison
general_reasoning
very_hard
very_hard
en
Compare two quantities and explain the comparison using only the provided values.
A = 29, B = 43
B is greater than A by 14.
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
15
28
7
0.9
true
CC-BY-4.0
v1.1
mtd-000000004090
constraint_reasoning
constraint_reasoning_analysis
general_reasoning
very_hard
very_hard
en
Solve a problem while respecting multiple explicit constraints.
Synthetic evaluation instance 4090. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
16
29
8
0.9
true
CC-BY-4.0
v1.1
mtd-000000004091
math
arithmetic
mathematics
very_hard
very_hard
en
Solve the following arithmetic problem exactly: 1379 × 68
93772
Identify operation, compute exactly, verify result.
Exact arithmetic verification.
exact
passed
not_applicable
not_applicable
not_applicable
not_applicable
not_applicable
Use only supplied operands.
Check arithmetic operation.
Recompute if mismatch detected.
answerable
1
0
1
true
false
Stop after exact verification.
11
17
30
9
0.9
true
CC-BY-4.0
v1.1
mtd-000000004092
ambiguity
ambiguity_analysis
general_reasoning
very_hard
very_hard
en
Identify ambiguity in the request and state what information is missing.
Synthetic evaluation instance 4092. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
18
0
10
0.9
true
CC-BY-4.0
v1.1
mtd-000000004093
counterexample
counterexample_analysis
general_reasoning
very_hard
very_hard
en
Construct a counterexample that tests whether a general claim always holds.
Synthetic evaluation instance 4093. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
19
1
11
0.9
true
CC-BY-4.0
v1.1
mtd-000000004094
counterexample
counterexample_analysis
general_reasoning
very_hard
very_hard
en
Construct a counterexample that tests whether a general claim always holds.
Synthetic evaluation instance 4094. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
20
2
12
0.9
true
CC-BY-4.0
v1.1
mtd-000000004095
instruction_following
format_constraint
general
extreme
extreme
en
Return the supplied number doubled. Return only the final number.
271
542
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
21
3
0
0.9
true
CC-BY-4.0
v1.1
mtd-000000004096
counterexample
counterexample_analysis
general_reasoning
extreme
extreme
en
Construct a counterexample that tests whether a general claim always holds.
Synthetic evaluation instance 4096. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
22
4
1
0.9
true
CC-BY-4.0
v1.1
mtd-000000004097
self_correction
error_repair
mathematics
extreme
extreme
en
Identify and correct the numerical error in the proposed answer.
Problem: 90 + 59 Proposed answer: 155
The proposed answer is incorrect. The correct answer is 149.
Recompute independently, compare with proposal, repair mismatch.
Independent recomputation.
exact
passed
Do not trust the proposed answer without verification.
passed
passed
answerable
1
0
3
true
false
Stop after independent correction.
0
23
5
2
0.9
true
CC-BY-4.0
v1.1
mtd-000000004098
fact_check
claim_verification
general_knowledge
extreme
extreme
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.
1
24
6
3
0.9
true
CC-BY-4.0
v1.1
mtd-000000004099
research
research_methodology
statistics
extreme
extreme
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.
2
25
7
4
0.9
true
CC-BY-4.0
v1.1