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
| 2
|
sinusoid
| 2.5
| 16
| 240
| 24
| 3.566987
|
Solve for x: 3.5669872981077804x + 2 = 18
FINAL:
| 4.485578
| 4.485578
|
linear_solve
| 2
|
sinusoid
| 2.5
| 16
| 240
| 25
| 3.75
|
Solve for x: 3.750000000000001x + 2 = 18
FINAL:
| 4.266667
| 4.266667
|
linear_solve
| 2
|
sinusoid
| 2.5
| 16
| 240
| 26
| 4.433013
|
Solve for x: 4.4330127018922205x + 2 = 18
FINAL:
| 3.609284
| 3.609284
|
linear_solve
| 2
|
sinusoid
| 2.5
| 16
| 240
| 27
| 4.25
|
Solve for x: 4.250000000000001x + 2 = 18
FINAL:
| 3.764706
| 3.764706
|
linear_solve
| 2
|
sinusoid
| 2.5
| 16
| 240
| 28
| 3.566987
|
Solve for x: 3.5669872981077804x + 2 = 18
FINAL:
| 4.485578
| 4.485578
|
linear_solve
| 2
|
sinusoid
| 2.5
| 16
| 240
| 29
| 3.75
|
Solve for x: 3.750000000000001x + 2 = 18
FINAL:
| 4.266667
| 4.266667
|
linear_solve
| 2
|
sinusoid
| 2.5
| 16
| 240
| 30
| 4.433013
|
Solve for x: 4.433012701892219x + 2 = 18
FINAL:
| 3.609284
| 3.609284
|
linear_solve
| 2
|
sinusoid
| 2.5
| 16
| 240
| 31
| 4.25
|
Solve for x: 4.250000000000001x + 2 = 18
FINAL:
| 3.764706
| 3.764706
|
linear_solve
| 2
|
sinusoid
| 2.5
| 16
| 240
| 32
| 3.566987
|
Solve for x: 3.5669872981077804x + 2 = 18
FINAL:
| 4.485578
| 4.485578
|
linear_solve
| 2
|
sinusoid
| 2.5
| 16
| 240
| 33
| 3.75
|
Solve for x: 3.750000000000001x + 2 = 18
FINAL:
| 4.266667
| 4.266667
|
linear_solve
| 2
|
sinusoid
| 2.5
| 16
| 240
| 34
| 4.433013
|
Solve for x: 4.4330127018922205x + 2 = 18
FINAL:
| 3.609284
| 3.609284
|
linear_solve
| 2
|
sinusoid
| 2.5
| 16
| 240
| 35
| 4.25
|
Solve for x: 4.250000000000001x + 2 = 18
FINAL:
| 3.764706
| 3.764706
|
linear_solve
| 2
|
sinusoid
| 2.5
| 16
| 240
| 36
| 3.566987
|
Solve for x: 3.566987298107781x + 2 = 18
FINAL:
| 4.485578
| 4.485578
|
linear_solve
| 2
|
sinusoid
| 2.5
| 16
| 240
| 37
| 3.75
|
Solve for x: 3.750000000000001x + 2 = 18
FINAL:
| 4.266667
| 4.266667
|
linear_solve
| 2
|
sinusoid
| 2.5
| 16
| 240
| 38
| 4.433013
|
Solve for x: 4.433012701892219x + 2 = 18
FINAL:
| 3.609284
| 3.609284
|
linear_solve
| 2
|
sinusoid
| 2.5
| 16
| 240
| 39
| 4.25
|
Solve for x: 4.250000000000001x + 2 = 18
FINAL:
| 3.764706
| 3.764706
|
linear_solve
| 2
|
sinusoid
| 2.5
| 16
| 240
| 40
| 3.566987
|
Solve for x: 3.5669872981077826x + 2 = 18
FINAL:
| 4.485578
| 4.485578
|
linear_solve
| 2
|
sinusoid
| 2.5
| 16
| 240
| 41
| 3.75
|
Solve for x: 3.7499999999999947x + 2 = 18
FINAL:
| 4.266667
| 4.266667
|
linear_solve
| 2
|
sinusoid
| 2.5
| 16
| 240
| 42
| 4.433013
|
Solve for x: 4.433012701892219x + 2 = 18
FINAL:
| 3.609284
| 3.609284
|
linear_solve
| 2
|
sinusoid
| 2.5
| 16
| 240
| 43
| 4.25
|
Solve for x: 4.250000000000004x + 2 = 18
FINAL:
| 3.764706
| 3.764706
|
linear_solve
| 2
|
sinusoid
| 2.5
| 16
| 240
| 44
| 3.566987
|
Solve for x: 3.5669872981077844x + 2 = 18
FINAL:
| 4.485578
| 4.485578
|
linear_solve
| 2
|
sinusoid
| 2.5
| 16
| 240
| 45
| 3.75
|
Solve for x: 3.7499999999999973x + 2 = 18
FINAL:
| 4.266667
| 4.266667
|
linear_solve
| 2
|
sinusoid
| 2.5
| 16
| 240
| 46
| 4.433013
|
Solve for x: 4.433012701892217x + 2 = 18
FINAL:
| 3.609284
| 3.609284
|
linear_solve
| 2
|
sinusoid
| 2.5
| 16
| 240
| 47
| 4.25
|
Solve for x: 4.250000000000001x + 2 = 18
FINAL:
| 3.764706
| 3.764706
|
linear_solve
| 2
|
sinusoid
| 2.5
| 16
| 240
| 48
| 3.566987
|
Solve for x: 3.5669872981077826x + 2 = 18
FINAL:
| 4.485578
| 4.485578
|
linear_solve
| 2
|
sinusoid
| 2.5
| 16
| 240
| 49
| 3.75
|
Solve for x: 3.7499999999999942x + 2 = 18
FINAL:
| 4.266667
| 4.266667
|
linear_solve
| 2
|
sinusoid
| 2.5
| 16
| 240
| 50
| 4.433013
|
Solve for x: 4.433012701892218x + 2 = 18
FINAL:
| 3.609284
| 3.609284
|
linear_solve
| 2
|
sinusoid
| 2.5
| 16
| 240
| 51
| 4.25
|
Solve for x: 4.250000000000004x + 2 = 18
FINAL:
| 3.764706
| 3.764706
|
linear_solve
| 2
|
sinusoid
| 2.5
| 16
| 240
| 52
| 3.566987
|
Solve for x: 3.566987298107781x + 2 = 18
FINAL:
| 4.485578
| 4.485578
|
linear_solve
| 2
|
sinusoid
| 2.5
| 16
| 240
| 53
| 3.75
|
Solve for x: 3.7499999999999973x + 2 = 18
FINAL:
| 4.266667
| 4.266667
|
linear_solve
| 2
|
sinusoid
| 2.5
| 16
| 240
| 54
| 4.433013
|
Solve for x: 4.433012701892216x + 2 = 18
FINAL:
| 3.609284
| 3.609284
|
linear_solve
| 2
|
sinusoid
| 2.5
| 16
| 240
| 55
| 4.25
|
Solve for x: 4.250000000000001x + 2 = 18
FINAL:
| 3.764706
| 3.764706
|
linear_solve
| 2
|
sinusoid
| 2.5
| 16
| 240
| 56
| 3.566987
|
Solve for x: 3.5669872981077826x + 2 = 18
FINAL:
| 4.485578
| 4.485578
|
linear_solve
| 2
|
sinusoid
| 2.5
| 16
| 240
| 57
| 3.75
|
Solve for x: 3.7499999999999942x + 2 = 18
FINAL:
| 4.266667
| 4.266667
|
linear_solve
| 2
|
sinusoid
| 2.5
| 16
| 240
| 58
| 4.433013
|
Solve for x: 4.433012701892218x + 2 = 18
FINAL:
| 3.609284
| 3.609284
|
linear_solve
| 2
|
sinusoid
| 2.5
| 16
| 240
| 59
| 4.25
|
Solve for x: 4.250000000000004x + 2 = 18
FINAL:
| 3.764706
| 3.764706
|
linear_solve
| 2
|
sinusoid
| 2.5
| 16
| 240
| 60
| 3.566987
|
Solve for x: 3.566987298107785x + 2 = 18
FINAL:
| 4.485578
| 4.485578
|
linear_solve
| 2
|
sinusoid
| 2.5
| 16
| 240
| 61
| 3.75
|
Solve for x: 3.749999999999997x + 2 = 18
FINAL:
| 4.266667
| 4.266667
|
linear_solve
| 2
|
sinusoid
| 2.5
| 16
| 240
| 62
| 4.433013
|
Solve for x: 4.433012701892216x + 2 = 18
FINAL:
| 3.609284
| 3.609284
|
linear_solve
| 2
|
sinusoid
| 2.5
| 16
| 240
| 63
| 4.25
|
Solve for x: 4.250000000000002x + 2 = 18
FINAL:
| 3.764706
| 3.764706
|
linear_solve
| 0
|
chirp
| 1
| 1
| null | 0
| 4
|
Solve for x: 4.0x + 3 = 27
FINAL:
| 6
| 6
|
linear_solve
| 0
|
chirp
| 1
| 1.058594
| null | 1
| 4.036608
|
Solve for x: 4.036607977591028x + 3 = 27
FINAL:
| 5.945586
| 5.945586
|
linear_solve
| 0
|
chirp
| 1
| 1.117188
| null | 2
| 4.134312
|
Solve for x: 4.134311790969403x + 3 = 27
FINAL:
| 5.805077
| 5.805077
|
linear_solve
| 0
|
chirp
| 1
| 1.175781
| null | 3
| 4.199263
|
Solve for x: 4.199262522436555x + 3 = 27
FINAL:
| 5.715289
| 5.715289
|
linear_solve
| 0
|
chirp
| 1
| 1.234375
| null | 4
| 4.039018
|
Solve for x: 4.039018064403225x + 3 = 27
FINAL:
| 5.942038
| 5.942038
|
linear_solve
| 0
|
chirp
| 1
| 1.292969
| null | 5
| 3.801219
|
Solve for x: 3.8012186059995288x + 3 = 27
FINAL:
| 6.313765
| 6.313765
|
linear_solve
| 0
|
chirp
| 1
| 1.351563
| null | 6
| 4.067378
|
Solve for x: 4.067377970678444x + 3 = 27
FINAL:
| 5.900607
| 5.900607
|
linear_solve
| 0
|
chirp
| 1
| 1.410156
| null | 7
| 4.078798
|
Solve for x: 4.078798408012211x + 3 = 27
FINAL:
| 5.884086
| 5.884086
|
linear_solve
| 0
|
chirp
| 1
| 1.46875
| null | 8
| 3.858579
|
Solve for x: 3.8585786437626903x + 3 = 27
FINAL:
| 6.219907
| 6.219907
|
linear_solve
| 0
|
chirp
| 1
| 1.527344
| null | 9
| 4.143146
|
Solve for x: 4.143146165056764x + 3 = 27
FINAL:
| 5.792699
| 5.792699
|
linear_solve
| 0
|
chirp
| 1
| 1.585938
| null | 10
| 3.914489
|
Solve for x: 3.9144889813139434x + 3 = 27
FINAL:
| 6.131068
| 6.131068
|
linear_solve
| 0
|
chirp
| 1
| 1.644531
| null | 11
| 3.944296
|
Solve for x: 3.9442960621229903x + 3 = 27
FINAL:
| 6.084736
| 6.084736
|
linear_solve
| 0
|
chirp
| 1
| 1.703125
| null | 12
| 4.196157
|
Solve for x: 4.196157056080646x + 3 = 27
FINAL:
| 5.719519
| 5.719519
|
linear_solve
| 0
|
chirp
| 1
| 1.761719
| null | 13
| 3.939599
|
Solve for x: 3.9395988101361543x + 3 = 27
FINAL:
| 6.091991
| 6.091991
|
linear_solve
| 0
|
chirp
| 1
| 1.820313
| null | 14
| 3.800241
|
Solve for x: 3.8002409087589655x + 3 = 27
FINAL:
| 6.315389
| 6.315389
|
linear_solve
| 0
|
chirp
| 1
| 1.878906
| null | 15
| 3.890935
|
Solve for x: 3.890935002315593x + 3 = 27
FINAL:
| 6.168183
| 6.168183
|
linear_solve
| 0
|
chirp
| 1
| 1.9375
| null | 16
| 4
|
Solve for x: 3.999999999999999x + 3 = 27
FINAL:
| 6
| 6
|
linear_solve
| 0
|
chirp
| 1
| 1.996094
| null | 17
| 4.041422
|
Solve for x: 4.041422275238446x + 3 = 27
FINAL:
| 5.938503
| 5.938503
|
linear_solve
| 0
|
chirp
| 1
| 2.054688
| null | 18
| 4.009814
|
Solve for x: 4.009813534865484x + 3 = 27
FINAL:
| 5.985316
| 5.985316
|
linear_solve
| 0
|
chirp
| 1
| 2.113281
| null | 19
| 3.907892
|
Solve for x: 3.9078922578083515x + 3 = 27
FINAL:
| 6.141418
| 6.141418
|
linear_solve
| 0
|
chirp
| 1
| 2.171875
| null | 20
| 3.803843
|
Solve for x: 3.8038429439193537x + 3 = 27
FINAL:
| 6.309409
| 6.309409
|
linear_solve
| 0
|
chirp
| 1
| 2.230469
| null | 21
| 3.903563
|
Solve for x: 3.903563245584176x + 3 = 27
FINAL:
| 6.148229
| 6.148229
|
linear_solve
| 0
|
chirp
| 1
| 2.289063
| null | 22
| 4.180798
|
Solve for x: 4.180797858624688x + 3 = 27
FINAL:
| 5.740531
| 5.740531
|
linear_solve
| 0
|
chirp
| 1
| 2.347656
| null | 23
| 4.002454
|
Solve for x: 4.002454307657147x + 3 = 27
FINAL:
| 5.996321
| 5.996321
|
linear_solve
| 0
|
chirp
| 1
| 2.40625
| null | 24
| 3.858579
|
Solve for x: 3.8585786437626903x + 3 = 27
FINAL:
| 6.219907
| 6.219907
|
linear_solve
| 0
|
chirp
| 1
| 2.464844
| null | 25
| 4.185701
|
Solve for x: 4.185701216094644x + 3 = 27
FINAL:
| 5.733806
| 5.733806
|
linear_solve
| 0
|
chirp
| 1
| 2.523438
| null | 26
| 3.811691
|
Solve for x: 3.811691186963395x + 3 = 27
FINAL:
| 6.296418
| 6.296418
|
linear_solve
| 0
|
chirp
| 1
| 2.582031
| null | 27
| 4.156147
|
Solve for x: 4.156147445714423x + 3 = 27
FINAL:
| 5.774579
| 5.774579
|
linear_solve
| 0
|
chirp
| 1
| 2.640625
| null | 28
| 3.960982
|
Solve for x: 3.9609819355967666x + 3 = 27
FINAL:
| 6.059104
| 6.059104
|
linear_solve
| 0
|
chirp
| 1
| 2.699219
| null | 29
| 3.846967
|
Solve for x: 3.8469665468755103x + 3 = 27
FINAL:
| 6.238682
| 6.238682
|
linear_solve
| 0
|
chirp
| 1
| 2.757813
| null | 30
| 4.14819
|
Solve for x: 4.148190225070995x + 3 = 27
FINAL:
| 5.785656
| 5.785656
|
linear_solve
| 0
|
chirp
| 1
| 2.816406
| null | 31
| 4.164918
|
Solve for x: 4.164917860557003x + 3 = 27
FINAL:
| 5.762419
| 5.762419
|
linear_solve
| 0
|
chirp
| 1
| 2.875
| null | 32
| 4
|
Solve for x: 3.9999999999999942x + 3 = 27
FINAL:
| 6
| 6
|
linear_solve
| 0
|
chirp
| 1
| 2.933594
| null | 33
| 3.886854
|
Solve for x: 3.8868536378432736x + 3 = 27
FINAL:
| 6.17466
| 6.17466
|
linear_solve
| 0
|
chirp
| 1
| 2.992188
| null | 34
| 3.85181
|
Solve for x: 3.8518097749290092x + 3 = 27
FINAL:
| 6.230837
| 6.230837
|
linear_solve
| 0
|
chirp
| 1
| 3.050781
| null | 35
| 3.871234
|
Solve for x: 3.871233691422043x + 3 = 27
FINAL:
| 6.199574
| 6.199574
|
linear_solve
| 0
|
chirp
| 1
| 3.109375
| null | 36
| 3.960982
|
Solve for x: 3.9609819355967697x + 3 = 27
FINAL:
| 6.059104
| 6.059104
|
linear_solve
| 0
|
chirp
| 1
| 3.167969
| null | 37
| 4.124972
|
Solve for x: 4.124971897628472x + 3 = 27
FINAL:
| 5.818221
| 5.818221
|
linear_solve
| 0
|
chirp
| 1
| 3.226563
| null | 38
| 4.188309
|
Solve for x: 4.188308813036605x + 3 = 27
FINAL:
| 5.730236
| 5.730236
|
linear_solve
| 0
|
chirp
| 1
| 3.285156
| null | 39
| 3.925737
|
Solve for x: 3.925736561209639x + 3 = 27
FINAL:
| 6.113502
| 6.113502
|
linear_solve
| 0
|
chirp
| 1
| 3.34375
| null | 40
| 3.858579
|
Solve for x: 3.8585786437626868x + 3 = 27
FINAL:
| 6.219907
| 6.219907
|
linear_solve
| 0
|
chirp
| 1
| 3.402344
| null | 41
| 4.199985
|
Solve for x: 4.199984940367829x + 3 = 27
FINAL:
| 5.714306
| 5.714306
|
linear_solve
| 0
|
chirp
| 1
| 3.460938
| null | 42
| 3.819202
|
Solve for x: 3.8192021413753108x + 3 = 27
FINAL:
| 6.284035
| 6.284035
|
linear_solve
| 0
|
chirp
| 1
| 3.519531
| null | 43
| 4.175214
|
Solve for x: 4.1752140188390845x + 3 = 27
FINAL:
| 5.748208
| 5.748208
|
linear_solve
| 0
|
chirp
| 1
| 3.578125
| null | 44
| 3.803843
|
Solve for x: 3.803842943919353x + 3 = 27
FINAL:
| 6.309409
| 6.309409
|
linear_solve
| 0
|
chirp
| 1
| 3.636719
| null | 45
| 4.177528
|
Solve for x: 4.1775279240805725x + 3 = 27
FINAL:
| 5.745024
| 5.745024
|
linear_solve
| 0
|
chirp
| 1
| 3.695313
| null | 46
| 3.990186
|
Solve for x: 3.9901864651345216x + 3 = 27
FINAL:
| 6.014757
| 6.014757
|
linear_solve
| 0
|
chirp
| 1
| 3.753906
| null | 47
| 3.804337
|
Solve for x: 3.804336525856078x + 3 = 27
FINAL:
| 6.30859
| 6.30859
|
linear_solve
| 0
|
chirp
| 1
| 3.8125
| null | 48
| 4
|
Solve for x: 3.999999999999998x + 3 = 27
FINAL:
| 6
| 6
|
linear_solve
| 0
|
chirp
| 1
| 3.871094
| null | 49
| 4.167645
|
Solve for x: 4.167644941110972x + 3 = 27
FINAL:
| 5.758648
| 5.758648
|
linear_solve
| 0
|
chirp
| 1
| 3.929688
| null | 50
| 4.199759
|
Solve for x: 4.1997590912410345x + 3 = 27
FINAL:
| 5.714614
| 5.714614
|
linear_solve
| 0
|
chirp
| 1
| 3.988281
| null | 51
| 4.190661
|
Solve for x: 4.190661208070837x + 3 = 27
FINAL:
| 5.72702
| 5.72702
|
linear_solve
| 0
|
chirp
| 1
| 4.046875
| null | 52
| 4.196157
|
Solve for x: 4.196157056080644x + 3 = 27
FINAL:
| 5.719519
| 5.719519
|
linear_solve
| 0
|
chirp
| 1
| 4.105469
| null | 53
| 4.192086
|
Solve for x: 4.192086103883114x + 3 = 27
FINAL:
| 5.725073
| 5.725073
|
linear_solve
| 0
|
chirp
| 1
| 4.164063
| null | 54
| 4.085511
|
Solve for x: 4.085511018686058x + 3 = 27
FINAL:
| 5.874418
| 5.874418
|
linear_solve
| 0
|
chirp
| 1
| 4.222656
| null | 55
| 3.860325
|
Solve for x: 3.8603247501182105x + 3 = 27
FINAL:
| 6.217094
| 6.217094
|
linear_solve
| 0
|
chirp
| 1
| 4.28125
| null | 56
| 3.858579
|
Solve for x: 3.858578643762678x + 3 = 27
FINAL:
| 6.219907
| 6.219907
|
linear_solve
| 0
|
chirp
| 1
| 4.339844
| null | 57
| 4.183823
|
Solve for x: 4.183822770338007x + 3 = 27
FINAL:
| 5.736381
| 5.736381
|
linear_solve
| 0
|
chirp
| 1
| 4.398438
| null | 58
| 3.932622
|
Solve for x: 3.932622029321569x + 3 = 27
FINAL:
| 6.102799
| 6.102799
|
linear_solve
| 0
|
chirp
| 1
| 4.457031
| null | 59
| 3.977956
|
Solve for x: 3.9779555585412245x + 3 = 27
FINAL:
| 6.03325
| 6.03325
|
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