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-000000010400
reasoning
comparison
general_reasoning
easy
easy
en
Compare two quantities and explain the comparison using only the provided values.
A = 62, B = 20
A is greater than B by 42.
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
21
15
0
0.9
true
CC-BY-4.0
v1.1
mtd-000000010401
calibration
calibration_analysis
general_reasoning
easy
easy
en
Explain when a system should reduce confidence in its answer.
Synthetic evaluation instance 10401. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
22
16
1
0.9
true
CC-BY-4.0
v1.1
mtd-000000010402
consistency_check
consistency_check_analysis
general_reasoning
easy
easy
en
Check whether the supplied statements are mutually consistent.
Synthetic evaluation instance 10402. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
23
17
2
0.9
true
CC-BY-4.0
v1.1
mtd-000000010403
evidence_check
evidence_check_analysis
general_reasoning
easy
easy
en
Identify which claims require evidence before they can be asserted confidently.
Synthetic evaluation instance 10403. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
24
18
3
0.9
true
CC-BY-4.0
v1.1
mtd-000000010404
generalization
generalization_analysis
general_reasoning
easy
easy
en
Explain how to test whether a model generalizes beyond familiar examples.
Synthetic evaluation instance 10404. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
25
19
4
0.9
true
CC-BY-4.0
v1.1
mtd-000000010405
prompt_review
prompt_review_analysis
general_reasoning
easy
easy
en
Review the prompt for ambiguity, contradictions, and missing constraints.
Synthetic evaluation instance 10405. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
26
20
5
0.9
true
CC-BY-4.0
v1.1
mtd-000000010406
prompt_review
prompt_review_analysis
general_reasoning
easy
easy
en
Review the prompt for ambiguity, contradictions, and missing constraints.
Synthetic evaluation instance 10406. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
27
21
6
0.9
true
CC-BY-4.0
v1.1
mtd-000000010407
data_analysis
descriptive_statistics
statistics
easy
easy
en
Calculate the arithmetic mean of the supplied dataset.
Dataset: 30, 93, 61, 37, 41
Mean = 52.4000
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.
3
28
22
7
0.9
true
CC-BY-4.0
v1.1
mtd-000000010408
reasoning
comparison
general_reasoning
easy
easy
en
Compare two quantities and explain the comparison using only the provided values.
A = 40, B = 5
A is greater than B by 35.
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.
4
29
23
8
0.9
true
CC-BY-4.0
v1.1
mtd-000000010409
adversarial
adversarial_analysis
general_reasoning
easy
easy
en
Identify a plausible failure mode in the proposed reasoning.
Synthetic evaluation instance 10409. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
30
24
9
0.9
true
CC-BY-4.0
v1.1
mtd-000000010410
prompt_review
prompt_review_analysis
general_reasoning
medium
medium
en
Review the prompt for ambiguity, contradictions, and missing constraints.
Synthetic evaluation instance 10410. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
31
25
10
0.9
true
CC-BY-4.0
v1.1
mtd-000000010411
generalization
generalization_analysis
general_reasoning
medium
medium
en
Explain how to test whether a model generalizes beyond familiar examples.
Synthetic evaluation instance 10411. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
32
26
11
0.9
true
CC-BY-4.0
v1.1
mtd-000000010412
generalization
generalization_analysis
general_reasoning
medium
medium
en
Explain how to test whether a model generalizes beyond familiar examples.
Synthetic evaluation instance 10412. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
33
27
12
0.9
true
CC-BY-4.0
v1.1
mtd-000000010413
calibration
calibration_analysis
general_reasoning
medium
medium
en
Explain when a system should reduce confidence in its answer.
Synthetic evaluation instance 10413. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
34
28
0
0.9
true
CC-BY-4.0
v1.1
mtd-000000010414
math
arithmetic
mathematics
medium
medium
en
Solve the following arithmetic problem exactly: 365709 + 574678
940387
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.
10
35
29
1
0.9
true
CC-BY-4.0
v1.1
mtd-000000010415
math
arithmetic
mathematics
medium
medium
en
Solve the following arithmetic problem exactly: 6796 × 91
618436
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
36
30
2
0.9
true
CC-BY-4.0
v1.1
mtd-000000010416
calibration
calibration_analysis
general_reasoning
medium
medium
en
Explain when a system should reduce confidence in its answer.
Synthetic evaluation instance 10416. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
37
0
3
0.9
true
CC-BY-4.0
v1.1
mtd-000000010417
data_analysis
descriptive_statistics
statistics
medium
medium
en
Calculate the arithmetic mean of the supplied dataset.
Dataset: 64, 22, 56, 53, 70
Mean = 53.0000
Parse values, sum them, divide by count, verify.
Recompute sum and count.
exact
passed
not_applicable
passed
not_applicable
not_applicable
not_applicable
Use only supplied dataset.
Check arithmetic and denominator.
Recompute statistic.
answerable
1
0
2
true
false
Stop after numerical verification.
13
38
1
4
0.9
true
CC-BY-4.0
v1.1
mtd-000000010418
ambiguity
ambiguity_analysis
general_reasoning
medium
medium
en
Identify ambiguity in the request and state what information is missing.
Synthetic evaluation instance 10418. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
39
2
5
0.9
true
CC-BY-4.0
v1.1
mtd-000000010419
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.
15
40
3
6
0.9
true
CC-BY-4.0
v1.1
mtd-000000010420
consistency_check
consistency_check_analysis
general_reasoning
medium
medium
en
Check whether the supplied statements are mutually consistent.
Synthetic evaluation instance 10420. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
41
4
7
0.9
true
CC-BY-4.0
v1.1
mtd-000000010421
code
function_generation
programming
medium
medium
en
Write Python code that returns the square of an integer.
Input example: n = 98307
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.
0
42
5
8
0.9
true
CC-BY-4.0
v1.1
mtd-000000010422
ambiguity
ambiguity_analysis
general_reasoning
medium
medium
en
Identify ambiguity in the request and state what information is missing.
Synthetic evaluation instance 10422. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
43
6
9
0.9
true
CC-BY-4.0
v1.1
mtd-000000010423
calibration
calibration_analysis
general_reasoning
medium
medium
en
Explain when a system should reduce confidence in its answer.
Synthetic evaluation instance 10423. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
44
7
10
0.9
true
CC-BY-4.0
v1.1
mtd-000000010424
math
arithmetic
mathematics
medium
medium
en
Solve the following arithmetic problem exactly: 909872 ÷ 164
909872
Identify operation, compute exactly, verify result.
Exact arithmetic verification.
exact
passed
not_applicable
not_applicable
not_applicable
not_applicable
not_applicable
Use only supplied operands.
Check arithmetic operation.
Recompute if mismatch detected.
answerable
1
0
1
true
false
Stop after exact verification.
3
45
8
11
0.9
true
CC-BY-4.0
v1.1
mtd-000000010425
planning
planning_analysis
general_reasoning
medium
medium
en
Create a concise plan for solving a complex technical problem.
Synthetic evaluation instance 10425. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
46
9
12
0.9
true
CC-BY-4.0
v1.1
mtd-000000010426
prompt_review
prompt_review_analysis
general_reasoning
medium
medium
en
Review the prompt for ambiguity, contradictions, and missing constraints.
Synthetic evaluation instance 10426. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
47
10
0
0.9
true
CC-BY-4.0
v1.1
mtd-000000010427
constraint_reasoning
constraint_reasoning_analysis
general_reasoning
medium
medium
en
Solve a problem while respecting multiple explicit constraints.
Synthetic evaluation instance 10427. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
48
11
1
0.9
true
CC-BY-4.0
v1.1
mtd-000000010428
planning
planning_analysis
general_reasoning
medium
medium
en
Create a concise plan for solving a complex technical problem.
Synthetic evaluation instance 10428. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
49
12
2
0.9
true
CC-BY-4.0
v1.1
mtd-000000010429
ambiguity
ambiguity_analysis
general_reasoning
medium
medium
en
Identify ambiguity in the request and state what information is missing.
Synthetic evaluation instance 10429. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
50
13
3
0.9
true
CC-BY-4.0
v1.1
mtd-000000010430
generalization
generalization_analysis
general_reasoning
medium
medium
en
Explain how to test whether a model generalizes beyond familiar examples.
Synthetic evaluation instance 10430. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
51
14
4
0.9
true
CC-BY-4.0
v1.1
mtd-000000010431
calibration
calibration_analysis
general_reasoning
medium
medium
en
Explain when a system should reduce confidence in its answer.
Synthetic evaluation instance 10431. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
52
15
5
0.9
true
CC-BY-4.0
v1.1
mtd-000000010432
ambiguity
ambiguity_analysis
general_reasoning
medium
medium
en
Identify ambiguity in the request and state what information is missing.
Synthetic evaluation instance 10432. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
53
16
6
0.9
true
CC-BY-4.0
v1.1
mtd-000000010433
constraint_reasoning
constraint_reasoning_analysis
general_reasoning
medium
medium
en
Solve a problem while respecting multiple explicit constraints.
Synthetic evaluation instance 10433. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
54
17
7
0.9
true
CC-BY-4.0
v1.1
mtd-000000010434
prompt_review
prompt_review_analysis
general_reasoning
medium
medium
en
Review the prompt for ambiguity, contradictions, and missing constraints.
Synthetic evaluation instance 10434. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
55
18
8
0.9
true
CC-BY-4.0
v1.1
mtd-000000010435
planning
planning_analysis
general_reasoning
medium
medium
en
Create a concise plan for solving a complex technical problem.
Synthetic evaluation instance 10435. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
56
19
9
0.9
true
CC-BY-4.0
v1.1
mtd-000000010436
calibration
calibration_analysis
general_reasoning
medium
medium
en
Explain when a system should reduce confidence in its answer.
Synthetic evaluation instance 10436. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
57
20
10
0.9
true
CC-BY-4.0
v1.1
mtd-000000010437
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.
16
58
21
11
0.9
true
CC-BY-4.0
v1.1
mtd-000000010438
consistency_check
consistency_check_analysis
general_reasoning
medium
medium
en
Check whether the supplied statements are mutually consistent.
Synthetic evaluation instance 10438. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
59
22
12
0.9
true
CC-BY-4.0
v1.1
mtd-000000010439
adversarial
adversarial_analysis
general_reasoning
medium
medium
en
Identify a plausible failure mode in the proposed reasoning.
Synthetic evaluation instance 10439. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
60
23
0
0.9
true
CC-BY-4.0
v1.1
mtd-000000010440
math
arithmetic
mathematics
hard
hard
en
Solve the following arithmetic problem exactly: 465084 + 515694
980778
Identify operation, compute exactly, verify result.
Exact arithmetic verification.
exact
passed
not_applicable
not_applicable
not_applicable
not_applicable
not_applicable
Use only supplied operands.
Check arithmetic operation.
Recompute if mismatch detected.
answerable
1
0
1
true
false
Stop after exact verification.
2
61
24
1
0.9
true
CC-BY-4.0
v1.1
mtd-000000010441
self_correction
error_repair
mathematics
hard
hard
en
Identify and correct the numerical error in the proposed answer.
Problem: 66 + 19 Proposed answer: 87
The proposed answer is incorrect. The correct answer is 85.
Recompute independently, compare with proposal, repair mismatch.
Independent recomputation.
exact
passed
Do not trust the proposed answer without verification.
passed
passed
answerable
1
0
3
true
false
Stop after independent correction.
3
62
25
2
0.9
true
CC-BY-4.0
v1.1
mtd-000000010442
counterexample
counterexample_analysis
general_reasoning
hard
hard
en
Construct a counterexample that tests whether a general claim always holds.
Synthetic evaluation instance 10442. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
63
26
3
0.9
true
CC-BY-4.0
v1.1
mtd-000000010443
prompt_review
prompt_review_analysis
general_reasoning
hard
hard
en
Review the prompt for ambiguity, contradictions, and missing constraints.
Synthetic evaluation instance 10443. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
64
27
4
0.9
true
CC-BY-4.0
v1.1
mtd-000000010444
data_analysis
descriptive_statistics
statistics
hard
hard
en
Calculate the arithmetic mean of the supplied dataset.
Dataset: 98, 87, 66, 55, 53
Mean = 71.8000
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.
6
65
28
5
0.9
true
CC-BY-4.0
v1.1
mtd-000000010445
planning
planning_analysis
general_reasoning
hard
hard
en
Create a concise plan for solving a complex technical problem.
Synthetic evaluation instance 10445. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
66
29
6
0.9
true
CC-BY-4.0
v1.1
mtd-000000010446
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.
8
67
30
7
0.9
true
CC-BY-4.0
v1.1
mtd-000000010447
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 10447. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
68
0
8
0.9
true
CC-BY-4.0
v1.1
mtd-000000010448
counterexample
counterexample_analysis
general_reasoning
hard
hard
en
Construct a counterexample that tests whether a general claim always holds.
Synthetic evaluation instance 10448. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
69
1
9
0.9
true
CC-BY-4.0
v1.1
mtd-000000010449
self_correction
error_repair
mathematics
hard
hard
en
Identify and correct the numerical error in the proposed answer.
Problem: 20 + 94 Proposed answer: 120
The proposed answer is incorrect. The correct answer is 114.
Recompute independently, compare with proposal, repair mismatch.
Independent recomputation.
exact
passed
Do not trust the proposed answer without verification.
passed
passed
answerable
1
0
3
true
false
Stop after independent correction.
11
70
2
10
0.9
true
CC-BY-4.0
v1.1
mtd-000000010450
data_analysis
descriptive_statistics
statistics
hard
hard
en
Calculate the arithmetic mean of the supplied dataset.
Dataset: 13, 34, 73, 18, 82
Mean = 44.0000
Parse values, sum them, divide by count, verify.
Recompute sum and count.
exact
passed
not_applicable
passed
not_applicable
not_applicable
not_applicable
Use only supplied dataset.
Check arithmetic and denominator.
Recompute statistic.
answerable
1
0
2
true
false
Stop after numerical verification.
12
71
3
11
0.9
true
CC-BY-4.0
v1.1
mtd-000000010451
consistency_check
consistency_check_analysis
general_reasoning
hard
hard
en
Check whether the supplied statements are mutually consistent.
Synthetic evaluation instance 10451. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
72
4
12
0.9
true
CC-BY-4.0
v1.1
mtd-000000010452
consistency_check
consistency_check_analysis
general_reasoning
hard
hard
en
Check whether the supplied statements are mutually consistent.
Synthetic evaluation instance 10452. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
73
5
0
0.9
true
CC-BY-4.0
v1.1
mtd-000000010453
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 10453. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
74
6
1
0.9
true
CC-BY-4.0
v1.1
mtd-000000010454
data_analysis
descriptive_statistics
statistics
hard
hard
en
Calculate the arithmetic mean of the supplied dataset.
Dataset: 6, 19, 52, 81, 24
Mean = 36.4000
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.
16
75
7
2
0.9
true
CC-BY-4.0
v1.1
mtd-000000010455
logic
deductive_reasoning
logic
hard
hard
en
Determine whether the conclusion follows from the given statements.
If x > 58, then x is positive. x = 58. y = 45.
Conclusion: x is positive. Result: Yes.
Identify premises, apply implication, verify conclusion.
Logical consistency check.
symbolic
not_applicable
passed
not_applicable
not_applicable
not_applicable
not_applicable
Reason only from supplied premises.
Check whether conclusion is entailed.
Re-evaluate premises if conclusion conflicts.
answerable
0.99
0.01
2
true
false
Stop once entailment is established.
0
76
8
3
0.9
true
CC-BY-4.0
v1.1
mtd-000000010456
prompt_review
prompt_review_analysis
general_reasoning
hard
hard
en
Review the prompt for ambiguity, contradictions, and missing constraints.
Synthetic evaluation instance 10456. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
77
9
4
0.9
true
CC-BY-4.0
v1.1
mtd-000000010457
self_correction
error_repair
mathematics
hard
hard
en
Identify and correct the numerical error in the proposed answer.
Problem: 62 + 98 Proposed answer: 161
The proposed answer is incorrect. The correct answer is 160.
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.
2
78
10
5
0.9
true
CC-BY-4.0
v1.1
mtd-000000010458
math
arithmetic
mathematics
hard
hard
en
Solve the following arithmetic problem exactly: 540175 + 96752
636927
Identify operation, compute exactly, verify result.
Exact arithmetic verification.
exact
passed
not_applicable
not_applicable
not_applicable
not_applicable
not_applicable
Use only supplied operands.
Check arithmetic operation.
Recompute if mismatch detected.
answerable
1
0
1
true
false
Stop after exact verification.
3
79
11
6
0.9
true
CC-BY-4.0
v1.1
mtd-000000010459
evidence_check
evidence_check_analysis
general_reasoning
hard
hard
en
Identify which claims require evidence before they can be asserted confidently.
Synthetic evaluation instance 10459. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
80
12
7
0.9
true
CC-BY-4.0
v1.1
mtd-000000010460
math
arithmetic
mathematics
hard
hard
en
Solve the following arithmetic problem exactly: 277405 + 15378
292783
Identify operation, compute exactly, verify result.
Exact arithmetic verification.
exact
passed
not_applicable
not_applicable
not_applicable
not_applicable
not_applicable
Use only supplied operands.
Check arithmetic operation.
Recompute if mismatch detected.
answerable
1
0
1
true
false
Stop after exact verification.
5
81
13
8
0.9
true
CC-BY-4.0
v1.1
mtd-000000010461
evidence_check
evidence_check_analysis
general_reasoning
hard
hard
en
Identify which claims require evidence before they can be asserted confidently.
Synthetic evaluation instance 10461. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
82
14
9
0.9
true
CC-BY-4.0
v1.1
mtd-000000010462
evidence_check
evidence_check_analysis
general_reasoning
hard
hard
en
Identify which claims require evidence before they can be asserted confidently.
Synthetic evaluation instance 10462. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
83
15
10
0.9
true
CC-BY-4.0
v1.1
mtd-000000010463
planning
planning_analysis
general_reasoning
hard
hard
en
Create a concise plan for solving a complex technical problem.
Synthetic evaluation instance 10463. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
84
16
11
0.9
true
CC-BY-4.0
v1.1
mtd-000000010464
planning
planning_analysis
general_reasoning
hard
hard
en
Create a concise plan for solving a complex technical problem.
Synthetic evaluation instance 10464. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
85
17
12
0.9
true
CC-BY-4.0
v1.1
mtd-000000010465
prompt_review
prompt_review_analysis
general_reasoning
hard
hard
en
Review the prompt for ambiguity, contradictions, and missing constraints.
Synthetic evaluation instance 10465. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
86
18
0
0.9
true
CC-BY-4.0
v1.1
mtd-000000010466
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.
11
87
19
1
0.9
true
CC-BY-4.0
v1.1
mtd-000000010467
logic
deductive_reasoning
logic
hard
hard
en
Determine whether the conclusion follows from the given statements.
If x > 82, then x is positive. x = 82. 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
88
20
2
0.9
true
CC-BY-4.0
v1.1
mtd-000000010468
self_correction
error_repair
mathematics
hard
hard
en
Identify and correct the numerical error in the proposed answer.
Problem: 48 + 23 Proposed answer: 75
The proposed answer is incorrect. The correct answer is 71.
Recompute independently, compare with proposal, repair mismatch.
Independent recomputation.
exact
passed
Do not trust the proposed answer without verification.
passed
passed
answerable
1
0
3
true
false
Stop after independent correction.
13
89
21
3
0.9
true
CC-BY-4.0
v1.1
mtd-000000010469
prompt_review
prompt_review_analysis
general_reasoning
hard
hard
en
Review the prompt for ambiguity, contradictions, and missing constraints.
Synthetic evaluation instance 10469. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
90
22
4
0.9
true
CC-BY-4.0
v1.1
mtd-000000010470
planning
planning_analysis
general_reasoning
hard
hard
en
Create a concise plan for solving a complex technical problem.
Synthetic evaluation instance 10470. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
91
23
5
0.9
true
CC-BY-4.0
v1.1
mtd-000000010471
constraint_reasoning
constraint_reasoning_analysis
general_reasoning
hard
hard
en
Solve a problem while respecting multiple explicit constraints.
Synthetic evaluation instance 10471. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
92
24
6
0.9
true
CC-BY-4.0
v1.1
mtd-000000010472
constraint_reasoning
constraint_reasoning_analysis
general_reasoning
hard
hard
en
Solve a problem while respecting multiple explicit constraints.
Synthetic evaluation instance 10472. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
93
25
7
0.9
true
CC-BY-4.0
v1.1
mtd-000000010473
prompt_review
prompt_review_analysis
general_reasoning
hard
hard
en
Review the prompt for ambiguity, contradictions, and missing constraints.
Synthetic evaluation instance 10473. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
94
26
8
0.9
true
CC-BY-4.0
v1.1
mtd-000000010474
constraint_reasoning
constraint_reasoning_analysis
general_reasoning
hard
hard
en
Solve a problem while respecting multiple explicit constraints.
Synthetic evaluation instance 10474. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
95
27
9
0.9
true
CC-BY-4.0
v1.1
mtd-000000010475
self_correction
error_repair
mathematics
very_hard
very_hard
en
Identify and correct the numerical error in the proposed answer.
Problem: 13 + 59 Proposed answer: 75
The proposed answer is incorrect. The correct answer is 72.
Recompute independently, compare with proposal, repair mismatch.
Independent recomputation.
exact
passed
Do not trust the proposed answer without verification.
passed
passed
answerable
1
0
3
true
false
Stop after independent correction.
3
96
28
10
0.9
true
CC-BY-4.0
v1.1
mtd-000000010476
calibration
calibration_analysis
general_reasoning
very_hard
very_hard
en
Explain when a system should reduce confidence in its answer.
Synthetic evaluation instance 10476. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
0
29
11
0.9
true
CC-BY-4.0
v1.1
mtd-000000010477
instruction_following
format_constraint
general
very_hard
very_hard
en
Return the supplied number doubled. Return only the final number.
2937
5874
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
1
30
12
0.9
true
CC-BY-4.0
v1.1
mtd-000000010478
prompt_review
prompt_review_analysis
general_reasoning
very_hard
very_hard
en
Review the prompt for ambiguity, contradictions, and missing constraints.
Synthetic evaluation instance 10478. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
2
0
0
0.9
true
CC-BY-4.0
v1.1
mtd-000000010479
consistency_check
consistency_check_analysis
general_reasoning
very_hard
very_hard
en
Check whether the supplied statements are mutually consistent.
Synthetic evaluation instance 10479. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
3
1
1
0.9
true
CC-BY-4.0
v1.1
mtd-000000010480
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 10480. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
4
2
2
0.9
true
CC-BY-4.0
v1.1
mtd-000000010481
constraint_reasoning
constraint_reasoning_analysis
general_reasoning
very_hard
very_hard
en
Solve a problem while respecting multiple explicit constraints.
Synthetic evaluation instance 10481. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
5
3
3
0.9
true
CC-BY-4.0
v1.1
mtd-000000010482
data_analysis
descriptive_statistics
statistics
very_hard
very_hard
en
Calculate the arithmetic mean of the supplied dataset.
Dataset: 80, 19, 35, 50, 83
Mean = 53.4000
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.
10
6
4
4
0.9
true
CC-BY-4.0
v1.1
mtd-000000010483
planning
planning_analysis
general_reasoning
very_hard
very_hard
en
Create a concise plan for solving a complex technical problem.
Synthetic evaluation instance 10483. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
7
5
5
0.9
true
CC-BY-4.0
v1.1
mtd-000000010484
logic
deductive_reasoning
logic
very_hard
very_hard
en
Determine whether the conclusion follows from the given statements.
If x > 37, then x is positive. x = 37. y = 34.
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
8
6
6
0.9
true
CC-BY-4.0
v1.1
mtd-000000010485
constraint_reasoning
constraint_reasoning_analysis
general_reasoning
very_hard
very_hard
en
Solve a problem while respecting multiple explicit constraints.
Synthetic evaluation instance 10485. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
9
7
7
0.9
true
CC-BY-4.0
v1.1
mtd-000000010486
counterexample
counterexample_analysis
general_reasoning
very_hard
very_hard
en
Construct a counterexample that tests whether a general claim always holds.
Synthetic evaluation instance 10486. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
10
8
8
0.9
true
CC-BY-4.0
v1.1
mtd-000000010487
consistency_check
consistency_check_analysis
general_reasoning
very_hard
very_hard
en
Check whether the supplied statements are mutually consistent.
Synthetic evaluation instance 10487. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
11
9
9
0.9
true
CC-BY-4.0
v1.1
mtd-000000010488
constraint_reasoning
constraint_reasoning_analysis
general_reasoning
very_hard
very_hard
en
Solve a problem while respecting multiple explicit constraints.
Synthetic evaluation instance 10488. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
12
10
10
0.9
true
CC-BY-4.0
v1.1
mtd-000000010489
constraint_reasoning
constraint_reasoning_analysis
general_reasoning
very_hard
very_hard
en
Solve a problem while respecting multiple explicit constraints.
Synthetic evaluation instance 10489. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
13
11
11
0.9
true
CC-BY-4.0
v1.1
mtd-000000010490
counterexample
counterexample_analysis
general_reasoning
very_hard
very_hard
en
Construct a counterexample that tests whether a general claim always holds.
Synthetic evaluation instance 10490. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
14
12
12
0.9
true
CC-BY-4.0
v1.1
mtd-000000010491
counterexample
counterexample_analysis
general_reasoning
very_hard
very_hard
en
Construct a counterexample that tests whether a general claim always holds.
Synthetic evaluation instance 10491. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
15
13
0
0.9
true
CC-BY-4.0
v1.1
mtd-000000010492
consistency_check
consistency_check_analysis
general_reasoning
very_hard
very_hard
en
Check whether the supplied statements are mutually consistent.
Synthetic evaluation instance 10492. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
16
14
1
0.9
true
CC-BY-4.0
v1.1
mtd-000000010493
fact_check
claim_verification
general_knowledge
very_hard
very_hard
en
Assess the claim and state whether it is correct. Do not invent evidence.
The Earth has one natural satellite.
Assessment: Correct. A reliable fact-check should verify the claim against an appropriate authoritative source.
Parse claim, identify factual assertion, verify against reliable evidence.
External evidence should be checked for real-world factual claims.
evidence
required
required
Never fabricate a citation.
Identify unsupported factual certainty.
Qualify or verify the claim.
answerable
0.85
0.15
3
true
false
Stop after evidence requirement is identified.
4
17
15
2
0.9
true
CC-BY-4.0
v1.1
mtd-000000010494
data_analysis
descriptive_statistics
statistics
very_hard
very_hard
en
Calculate the arithmetic mean of the supplied dataset.
Dataset: 40, 62, 10, 4, 51
Mean = 33.4000
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.
5
18
16
3
0.9
true
CC-BY-4.0
v1.1
mtd-000000010495
data_analysis
descriptive_statistics
statistics
extreme
extreme
en
Calculate the arithmetic mean of the supplied dataset.
Dataset: 68, 68, 16, 89, 47
Mean = 57.6000
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.
6
19
17
4
0.9
true
CC-BY-4.0
v1.1
mtd-000000010496
research
research_methodology
materials science
extreme
extreme
en
Design a rigorous research procedure for investigating a question about materials 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.
7
20
18
5
0.9
true
CC-BY-4.0
v1.1
mtd-000000010497
prompt_review
prompt_review_analysis
general_reasoning
extreme
extreme
en
Review the prompt for ambiguity, contradictions, and missing constraints.
Synthetic evaluation instance 10497. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
21
19
6
0.9
true
CC-BY-4.0
v1.1
mtd-000000010498
instruction_following
format_constraint
general
extreme
extreme
en
Return the supplied number doubled. Return only the final number.
1316
2632
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.
9
22
20
7
0.9
true
CC-BY-4.0
v1.1
mtd-000000010499
counterexample
counterexample_analysis
general_reasoning
extreme
extreme
en
Construct a counterexample that tests whether a general claim always holds.
Synthetic evaluation instance 10499. Use only information provided in the task.
Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied.
Understand objective → inspect constraints → solve → verify.
Final consistency and constraint verification.
structured
performed
checked
checked
checked
checked
Do not introduce unsupported facts.
Identify 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
23
21
8
0.9
true
CC-BY-4.0
v1.1