family
stringclasses 1
value | question_id
int64 0
2
| signal_type
stringclasses 2
values | amplitude_scale
float64 0.5
2.5
| frequency_cycles
float64 1
16
| phase_deg
float64 0
240
⌀ | time_step
int64 0
255
| p_value
float64 3.5
4.5
| prompt
stringlengths 35
50
| ground_truth
float64 3.56
10.3
| symbolic_baseline_answer
float64 3.56
10.3
|
|---|---|---|---|---|---|---|---|---|---|---|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 240
| 4
| 3.913397
|
Solve for x: 3.913397459621556x + 3 = 27
FINAL:
| 6.132779
| 6.132779
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 240
| 5
| 3.95
|
Solve for x: 3.95x + 3 = 27
FINAL:
| 6.075949
| 6.075949
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 240
| 6
| 4.086603
|
Solve for x: 4.086602540378443x + 3 = 27
FINAL:
| 5.872849
| 5.872849
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 240
| 7
| 4.05
|
Solve for x: 4.05x + 3 = 27
FINAL:
| 5.925926
| 5.925926
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 240
| 8
| 3.913397
|
Solve for x: 3.913397459621556x + 3 = 27
FINAL:
| 6.132779
| 6.132779
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 240
| 9
| 3.95
|
Solve for x: 3.95x + 3 = 27
FINAL:
| 6.075949
| 6.075949
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 240
| 10
| 4.086603
|
Solve for x: 4.086602540378443x + 3 = 27
FINAL:
| 5.872849
| 5.872849
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 240
| 11
| 4.05
|
Solve for x: 4.050000000000001x + 3 = 27
FINAL:
| 5.925926
| 5.925926
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 240
| 12
| 3.913397
|
Solve for x: 3.913397459621556x + 3 = 27
FINAL:
| 6.132779
| 6.132779
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 240
| 13
| 3.95
|
Solve for x: 3.95x + 3 = 27
FINAL:
| 6.075949
| 6.075949
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 240
| 14
| 4.086603
|
Solve for x: 4.086602540378443x + 3 = 27
FINAL:
| 5.872849
| 5.872849
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 240
| 15
| 4.05
|
Solve for x: 4.050000000000001x + 3 = 27
FINAL:
| 5.925926
| 5.925926
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 240
| 16
| 3.913397
|
Solve for x: 3.913397459621556x + 3 = 27
FINAL:
| 6.132779
| 6.132779
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 240
| 17
| 3.95
|
Solve for x: 3.9499999999999997x + 3 = 27
FINAL:
| 6.075949
| 6.075949
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 240
| 18
| 4.086603
|
Solve for x: 4.086602540378443x + 3 = 27
FINAL:
| 5.872849
| 5.872849
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 240
| 19
| 4.05
|
Solve for x: 4.05x + 3 = 27
FINAL:
| 5.925926
| 5.925926
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 240
| 20
| 3.913397
|
Solve for x: 3.913397459621556x + 3 = 27
FINAL:
| 6.132779
| 6.132779
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 240
| 21
| 3.95
|
Solve for x: 3.95x + 3 = 27
FINAL:
| 6.075949
| 6.075949
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 240
| 22
| 4.086603
|
Solve for x: 4.086602540378443x + 3 = 27
FINAL:
| 5.872849
| 5.872849
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 240
| 23
| 4.05
|
Solve for x: 4.05x + 3 = 27
FINAL:
| 5.925926
| 5.925926
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 240
| 24
| 3.913397
|
Solve for x: 3.913397459621556x + 3 = 27
FINAL:
| 6.132779
| 6.132779
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 240
| 25
| 3.95
|
Solve for x: 3.95x + 3 = 27
FINAL:
| 6.075949
| 6.075949
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 240
| 26
| 4.086603
|
Solve for x: 4.086602540378444x + 3 = 27
FINAL:
| 5.872849
| 5.872849
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 240
| 27
| 4.05
|
Solve for x: 4.05x + 3 = 27
FINAL:
| 5.925926
| 5.925926
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 240
| 28
| 3.913397
|
Solve for x: 3.913397459621556x + 3 = 27
FINAL:
| 6.132779
| 6.132779
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 240
| 29
| 3.95
|
Solve for x: 3.95x + 3 = 27
FINAL:
| 6.075949
| 6.075949
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 240
| 30
| 4.086603
|
Solve for x: 4.086602540378443x + 3 = 27
FINAL:
| 5.872849
| 5.872849
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 240
| 31
| 4.05
|
Solve for x: 4.05x + 3 = 27
FINAL:
| 5.925926
| 5.925926
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 240
| 32
| 3.913397
|
Solve for x: 3.913397459621556x + 3 = 27
FINAL:
| 6.132779
| 6.132779
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 240
| 33
| 3.95
|
Solve for x: 3.95x + 3 = 27
FINAL:
| 6.075949
| 6.075949
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 240
| 34
| 4.086603
|
Solve for x: 4.086602540378444x + 3 = 27
FINAL:
| 5.872849
| 5.872849
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 240
| 35
| 4.05
|
Solve for x: 4.05x + 3 = 27
FINAL:
| 5.925926
| 5.925926
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 240
| 36
| 3.913397
|
Solve for x: 3.913397459621556x + 3 = 27
FINAL:
| 6.132779
| 6.132779
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 240
| 37
| 3.95
|
Solve for x: 3.95x + 3 = 27
FINAL:
| 6.075949
| 6.075949
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 240
| 38
| 4.086603
|
Solve for x: 4.086602540378443x + 3 = 27
FINAL:
| 5.872849
| 5.872849
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 240
| 39
| 4.05
|
Solve for x: 4.05x + 3 = 27
FINAL:
| 5.925926
| 5.925926
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 240
| 40
| 3.913397
|
Solve for x: 3.9133974596215566x + 3 = 27
FINAL:
| 6.132779
| 6.132779
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 240
| 41
| 3.95
|
Solve for x: 3.949999999999999x + 3 = 27
FINAL:
| 6.075949
| 6.075949
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 240
| 42
| 4.086603
|
Solve for x: 4.086602540378443x + 3 = 27
FINAL:
| 5.872849
| 5.872849
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 240
| 43
| 4.05
|
Solve for x: 4.050000000000001x + 3 = 27
FINAL:
| 5.925926
| 5.925926
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 240
| 44
| 3.913397
|
Solve for x: 3.913397459621557x + 3 = 27
FINAL:
| 6.132779
| 6.132779
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 240
| 45
| 3.95
|
Solve for x: 3.9499999999999993x + 3 = 27
FINAL:
| 6.075949
| 6.075949
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 240
| 46
| 4.086603
|
Solve for x: 4.086602540378443x + 3 = 27
FINAL:
| 5.872849
| 5.872849
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 240
| 47
| 4.05
|
Solve for x: 4.05x + 3 = 27
FINAL:
| 5.925926
| 5.925926
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 240
| 48
| 3.913397
|
Solve for x: 3.9133974596215566x + 3 = 27
FINAL:
| 6.132779
| 6.132779
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 240
| 49
| 3.95
|
Solve for x: 3.949999999999999x + 3 = 27
FINAL:
| 6.075949
| 6.075949
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 240
| 50
| 4.086603
|
Solve for x: 4.086602540378443x + 3 = 27
FINAL:
| 5.872849
| 5.872849
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 240
| 51
| 4.05
|
Solve for x: 4.050000000000001x + 3 = 27
FINAL:
| 5.925926
| 5.925926
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 240
| 52
| 3.913397
|
Solve for x: 3.913397459621556x + 3 = 27
FINAL:
| 6.132779
| 6.132779
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 240
| 53
| 3.95
|
Solve for x: 3.9499999999999993x + 3 = 27
FINAL:
| 6.075949
| 6.075949
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 240
| 54
| 4.086603
|
Solve for x: 4.086602540378443x + 3 = 27
FINAL:
| 5.872849
| 5.872849
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 240
| 55
| 4.05
|
Solve for x: 4.05x + 3 = 27
FINAL:
| 5.925926
| 5.925926
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 240
| 56
| 3.913397
|
Solve for x: 3.9133974596215566x + 3 = 27
FINAL:
| 6.132779
| 6.132779
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 240
| 57
| 3.95
|
Solve for x: 3.949999999999999x + 3 = 27
FINAL:
| 6.075949
| 6.075949
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 240
| 58
| 4.086603
|
Solve for x: 4.086602540378443x + 3 = 27
FINAL:
| 5.872849
| 5.872849
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 240
| 59
| 4.05
|
Solve for x: 4.050000000000001x + 3 = 27
FINAL:
| 5.925926
| 5.925926
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 240
| 60
| 3.913397
|
Solve for x: 3.913397459621557x + 3 = 27
FINAL:
| 6.132779
| 6.132779
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 240
| 61
| 3.95
|
Solve for x: 3.9499999999999993x + 3 = 27
FINAL:
| 6.075949
| 6.075949
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 240
| 62
| 4.086603
|
Solve for x: 4.086602540378443x + 3 = 27
FINAL:
| 5.872849
| 5.872849
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 240
| 63
| 4.05
|
Solve for x: 4.050000000000001x + 3 = 27
FINAL:
| 5.925926
| 5.925926
|
linear_solve
| 1
|
sinusoid
| 0.5
| 1
| 0
| 0
| 4
|
Solve for x: 4.0x + 5 = 41
FINAL:
| 9
| 9
|
linear_solve
| 1
|
sinusoid
| 0.5
| 1
| 0
| 1
| 4.009802
|
Solve for x: 4.009801714032956x + 5 = 41
FINAL:
| 8.978
| 8.978
|
linear_solve
| 1
|
sinusoid
| 0.5
| 1
| 0
| 2
| 4.019509
|
Solve for x: 4.019509032201613x + 5 = 41
FINAL:
| 8.956318
| 8.956318
|
linear_solve
| 1
|
sinusoid
| 0.5
| 1
| 0
| 3
| 4.029028
|
Solve for x: 4.029028467725446x + 5 = 41
FINAL:
| 8.935157
| 8.935157
|
linear_solve
| 1
|
sinusoid
| 0.5
| 1
| 0
| 4
| 4.038268
|
Solve for x: 4.038268343236509x + 5 = 41
FINAL:
| 8.914712
| 8.914712
|
linear_solve
| 1
|
sinusoid
| 0.5
| 1
| 0
| 5
| 4.04714
|
Solve for x: 4.0471396736826x + 5 = 41
FINAL:
| 8.895171
| 8.895171
|
linear_solve
| 1
|
sinusoid
| 0.5
| 1
| 0
| 6
| 4.055557
|
Solve for x: 4.05555702330196x + 5 = 41
FINAL:
| 8.876709
| 8.876709
|
linear_solve
| 1
|
sinusoid
| 0.5
| 1
| 0
| 7
| 4.063439
|
Solve for x: 4.063439328416364x + 5 = 41
FINAL:
| 8.85949
| 8.85949
|
linear_solve
| 1
|
sinusoid
| 0.5
| 1
| 0
| 8
| 4.070711
|
Solve for x: 4.070710678118655x + 5 = 41
FINAL:
| 8.843665
| 8.843665
|
linear_solve
| 1
|
sinusoid
| 0.5
| 1
| 0
| 9
| 4.077301
|
Solve for x: 4.077301045336274x + 5 = 41
FINAL:
| 8.82937
| 8.82937
|
linear_solve
| 1
|
sinusoid
| 0.5
| 1
| 0
| 10
| 4.083147
|
Solve for x: 4.083146961230255x + 5 = 41
FINAL:
| 8.816729
| 8.816729
|
linear_solve
| 1
|
sinusoid
| 0.5
| 1
| 0
| 11
| 4.088192
|
Solve for x: 4.088192126434835x + 5 = 41
FINAL:
| 8.805848
| 8.805848
|
linear_solve
| 1
|
sinusoid
| 0.5
| 1
| 0
| 12
| 4.092388
|
Solve for x: 4.092387953251128x + 5 = 41
FINAL:
| 8.79682
| 8.79682
|
linear_solve
| 1
|
sinusoid
| 0.5
| 1
| 0
| 13
| 4.095694
|
Solve for x: 4.095694033573221x + 5 = 41
FINAL:
| 8.789719
| 8.789719
|
linear_solve
| 1
|
sinusoid
| 0.5
| 1
| 0
| 14
| 4.098079
|
Solve for x: 4.098078528040323x + 5 = 41
FINAL:
| 8.784605
| 8.784605
|
linear_solve
| 1
|
sinusoid
| 0.5
| 1
| 0
| 15
| 4.099518
|
Solve for x: 4.09951847266722x + 5 = 41
FINAL:
| 8.781519
| 8.781519
|
linear_solve
| 1
|
sinusoid
| 0.5
| 1
| 0
| 16
| 4.1
|
Solve for x: 4.1x + 5 = 41
FINAL:
| 8.780488
| 8.780488
|
linear_solve
| 1
|
sinusoid
| 0.5
| 1
| 0
| 17
| 4.099518
|
Solve for x: 4.09951847266722x + 5 = 41
FINAL:
| 8.781519
| 8.781519
|
linear_solve
| 1
|
sinusoid
| 0.5
| 1
| 0
| 18
| 4.098079
|
Solve for x: 4.098078528040323x + 5 = 41
FINAL:
| 8.784605
| 8.784605
|
linear_solve
| 1
|
sinusoid
| 0.5
| 1
| 0
| 19
| 4.095694
|
Solve for x: 4.095694033573221x + 5 = 41
FINAL:
| 8.789719
| 8.789719
|
linear_solve
| 1
|
sinusoid
| 0.5
| 1
| 0
| 20
| 4.092388
|
Solve for x: 4.092387953251128x + 5 = 41
FINAL:
| 8.79682
| 8.79682
|
linear_solve
| 1
|
sinusoid
| 0.5
| 1
| 0
| 21
| 4.088192
|
Solve for x: 4.088192126434835x + 5 = 41
FINAL:
| 8.805848
| 8.805848
|
linear_solve
| 1
|
sinusoid
| 0.5
| 1
| 0
| 22
| 4.083147
|
Solve for x: 4.083146961230255x + 5 = 41
FINAL:
| 8.816729
| 8.816729
|
linear_solve
| 1
|
sinusoid
| 0.5
| 1
| 0
| 23
| 4.077301
|
Solve for x: 4.077301045336274x + 5 = 41
FINAL:
| 8.82937
| 8.82937
|
linear_solve
| 1
|
sinusoid
| 0.5
| 1
| 0
| 24
| 4.070711
|
Solve for x: 4.070710678118655x + 5 = 41
FINAL:
| 8.843665
| 8.843665
|
linear_solve
| 1
|
sinusoid
| 0.5
| 1
| 0
| 25
| 4.063439
|
Solve for x: 4.063439328416364x + 5 = 41
FINAL:
| 8.85949
| 8.85949
|
linear_solve
| 1
|
sinusoid
| 0.5
| 1
| 0
| 26
| 4.055557
|
Solve for x: 4.05555702330196x + 5 = 41
FINAL:
| 8.876709
| 8.876709
|
linear_solve
| 1
|
sinusoid
| 0.5
| 1
| 0
| 27
| 4.04714
|
Solve for x: 4.0471396736826x + 5 = 41
FINAL:
| 8.895171
| 8.895171
|
linear_solve
| 1
|
sinusoid
| 0.5
| 1
| 0
| 28
| 4.038268
|
Solve for x: 4.038268343236509x + 5 = 41
FINAL:
| 8.914712
| 8.914712
|
linear_solve
| 1
|
sinusoid
| 0.5
| 1
| 0
| 29
| 4.029028
|
Solve for x: 4.029028467725446x + 5 = 41
FINAL:
| 8.935157
| 8.935157
|
linear_solve
| 1
|
sinusoid
| 0.5
| 1
| 0
| 30
| 4.019509
|
Solve for x: 4.019509032201613x + 5 = 41
FINAL:
| 8.956318
| 8.956318
|
linear_solve
| 1
|
sinusoid
| 0.5
| 1
| 0
| 31
| 4.009802
|
Solve for x: 4.009801714032956x + 5 = 41
FINAL:
| 8.978
| 8.978
|
linear_solve
| 1
|
sinusoid
| 0.5
| 1
| 0
| 32
| 4
|
Solve for x: 4.0x + 5 = 41
FINAL:
| 9
| 9
|
linear_solve
| 1
|
sinusoid
| 0.5
| 1
| 0
| 33
| 3.990198
|
Solve for x: 3.9901982859670437x + 5 = 41
FINAL:
| 9.022108
| 9.022108
|
linear_solve
| 1
|
sinusoid
| 0.5
| 1
| 0
| 34
| 3.980491
|
Solve for x: 3.9804909677983873x + 5 = 41
FINAL:
| 9.04411
| 9.04411
|
linear_solve
| 1
|
sinusoid
| 0.5
| 1
| 0
| 35
| 3.970972
|
Solve for x: 3.970971532274554x + 5 = 41
FINAL:
| 9.065792
| 9.065792
|
linear_solve
| 1
|
sinusoid
| 0.5
| 1
| 0
| 36
| 3.961732
|
Solve for x: 3.961731656763491x + 5 = 41
FINAL:
| 9.086935
| 9.086935
|
linear_solve
| 1
|
sinusoid
| 0.5
| 1
| 0
| 37
| 3.95286
|
Solve for x: 3.9528603263174x + 5 = 41
FINAL:
| 9.107329
| 9.107329
|
linear_solve
| 1
|
sinusoid
| 0.5
| 1
| 0
| 38
| 3.944443
|
Solve for x: 3.94444297669804x + 5 = 41
FINAL:
| 9.126764
| 9.126764
|
linear_solve
| 1
|
sinusoid
| 0.5
| 1
| 0
| 39
| 3.936561
|
Solve for x: 3.9365606715836354x + 5 = 41
FINAL:
| 9.145039
| 9.145039
|
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