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
| 120
| 24
| 4.086603
|
Solve for x: 4.086602540378444x + 3 = 27
FINAL:
| 5.872849
| 5.872849
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 120
| 25
| 3.95
|
Solve for x: 3.95x + 3 = 27
FINAL:
| 6.075949
| 6.075949
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 120
| 26
| 3.913397
|
Solve for x: 3.913397459621556x + 3 = 27
FINAL:
| 6.132779
| 6.132779
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 120
| 27
| 4.05
|
Solve for x: 4.05x + 3 = 27
FINAL:
| 5.925926
| 5.925926
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 120
| 28
| 4.086603
|
Solve for x: 4.086602540378444x + 3 = 27
FINAL:
| 5.872849
| 5.872849
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 120
| 29
| 3.95
|
Solve for x: 3.95x + 3 = 27
FINAL:
| 6.075949
| 6.075949
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 120
| 30
| 3.913397
|
Solve for x: 3.9133974596215557x + 3 = 27
FINAL:
| 6.132779
| 6.132779
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 120
| 31
| 4.05
|
Solve for x: 4.05x + 3 = 27
FINAL:
| 5.925926
| 5.925926
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 120
| 32
| 4.086603
|
Solve for x: 4.086602540378444x + 3 = 27
FINAL:
| 5.872849
| 5.872849
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 120
| 33
| 3.95
|
Solve for x: 3.95x + 3 = 27
FINAL:
| 6.075949
| 6.075949
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 120
| 34
| 3.913397
|
Solve for x: 3.913397459621556x + 3 = 27
FINAL:
| 6.132779
| 6.132779
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 120
| 35
| 4.05
|
Solve for x: 4.05x + 3 = 27
FINAL:
| 5.925926
| 5.925926
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 120
| 36
| 4.086603
|
Solve for x: 4.086602540378444x + 3 = 27
FINAL:
| 5.872849
| 5.872849
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 120
| 37
| 3.95
|
Solve for x: 3.95x + 3 = 27
FINAL:
| 6.075949
| 6.075949
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 120
| 38
| 3.913397
|
Solve for x: 3.9133974596215557x + 3 = 27
FINAL:
| 6.132779
| 6.132779
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 120
| 39
| 4.05
|
Solve for x: 4.05x + 3 = 27
FINAL:
| 5.925926
| 5.925926
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 120
| 40
| 4.086603
|
Solve for x: 4.086602540378444x + 3 = 27
FINAL:
| 5.872849
| 5.872849
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 120
| 41
| 3.95
|
Solve for x: 3.950000000000001x + 3 = 27
FINAL:
| 6.075949
| 6.075949
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 120
| 42
| 3.913397
|
Solve for x: 3.913397459621556x + 3 = 27
FINAL:
| 6.132779
| 6.132779
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 120
| 43
| 4.05
|
Solve for x: 4.05x + 3 = 27
FINAL:
| 5.925926
| 5.925926
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 120
| 44
| 4.086603
|
Solve for x: 4.086602540378444x + 3 = 27
FINAL:
| 5.872849
| 5.872849
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 120
| 45
| 3.95
|
Solve for x: 3.95x + 3 = 27
FINAL:
| 6.075949
| 6.075949
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 120
| 46
| 3.913397
|
Solve for x: 3.9133974596215557x + 3 = 27
FINAL:
| 6.132779
| 6.132779
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 120
| 47
| 4.05
|
Solve for x: 4.05x + 3 = 27
FINAL:
| 5.925926
| 5.925926
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 120
| 48
| 4.086603
|
Solve for x: 4.086602540378444x + 3 = 27
FINAL:
| 5.872849
| 5.872849
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 120
| 49
| 3.95
|
Solve for x: 3.950000000000001x + 3 = 27
FINAL:
| 6.075949
| 6.075949
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 120
| 50
| 3.913397
|
Solve for x: 3.913397459621556x + 3 = 27
FINAL:
| 6.132779
| 6.132779
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 120
| 51
| 4.05
|
Solve for x: 4.049999999999999x + 3 = 27
FINAL:
| 5.925926
| 5.925926
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 120
| 52
| 4.086603
|
Solve for x: 4.086602540378443x + 3 = 27
FINAL:
| 5.872849
| 5.872849
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 120
| 53
| 3.95
|
Solve for x: 3.95x + 3 = 27
FINAL:
| 6.075949
| 6.075949
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 120
| 54
| 3.913397
|
Solve for x: 3.9133974596215557x + 3 = 27
FINAL:
| 6.132779
| 6.132779
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 120
| 55
| 4.05
|
Solve for x: 4.05x + 3 = 27
FINAL:
| 5.925926
| 5.925926
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 120
| 56
| 4.086603
|
Solve for x: 4.086602540378444x + 3 = 27
FINAL:
| 5.872849
| 5.872849
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 120
| 57
| 3.95
|
Solve for x: 3.950000000000001x + 3 = 27
FINAL:
| 6.075949
| 6.075949
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 120
| 58
| 3.913397
|
Solve for x: 3.913397459621556x + 3 = 27
FINAL:
| 6.132779
| 6.132779
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 120
| 59
| 4.05
|
Solve for x: 4.049999999999999x + 3 = 27
FINAL:
| 5.925926
| 5.925926
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 120
| 60
| 4.086603
|
Solve for x: 4.086602540378444x + 3 = 27
FINAL:
| 5.872849
| 5.872849
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 120
| 61
| 3.95
|
Solve for x: 3.95x + 3 = 27
FINAL:
| 6.075949
| 6.075949
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 120
| 62
| 3.913397
|
Solve for x: 3.9133974596215557x + 3 = 27
FINAL:
| 6.132779
| 6.132779
|
linear_solve
| 0
|
sinusoid
| 0.5
| 16
| 120
| 63
| 4.05
|
Solve for x: 4.05x + 3 = 27
FINAL:
| 5.925926
| 5.925926
|
linear_solve
| 0
|
sinusoid
| 0.5
| 1
| 240
| 0
| 3.913397
|
Solve for x: 3.913397459621556x + 3 = 27
FINAL:
| 6.132779
| 6.132779
|
linear_solve
| 0
|
sinusoid
| 0.5
| 1
| 240
| 1
| 3.908914
|
Solve for x: 3.9089136175078822x + 3 = 27
FINAL:
| 6.139813
| 6.139813
|
linear_solve
| 0
|
sinusoid
| 0.5
| 1
| 240
| 2
| 3.905307
|
Solve for x: 3.9053069870504893x + 3 = 27
FINAL:
| 6.145484
| 6.145484
|
linear_solve
| 0
|
sinusoid
| 0.5
| 1
| 240
| 3
| 3.902612
|
Solve for x: 3.9026123020722667x + 3 = 27
FINAL:
| 6.149727
| 6.149727
|
linear_solve
| 0
|
sinusoid
| 0.5
| 1
| 240
| 4
| 3.900856
|
Solve for x: 3.900855513862619x + 3 = 27
FINAL:
| 6.152497
| 6.152497
|
linear_solve
| 0
|
sinusoid
| 0.5
| 1
| 240
| 5
| 3.900054
|
Solve for x: 3.9000535412523636x + 3 = 27
FINAL:
| 6.153762
| 6.153762
|
linear_solve
| 0
|
sinusoid
| 0.5
| 1
| 240
| 6
| 3.900214
|
Solve for x: 3.9002141076761396x + 3 = 27
FINAL:
| 6.153508
| 6.153508
|
linear_solve
| 0
|
sinusoid
| 0.5
| 1
| 240
| 7
| 3.901336
|
Solve for x: 3.9013356667915122x + 3 = 27
FINAL:
| 6.151739
| 6.151739
|
linear_solve
| 0
|
sinusoid
| 0.5
| 1
| 240
| 8
| 3.903407
|
Solve for x: 3.9034074173710933x + 3 = 27
FINAL:
| 6.148474
| 6.148474
|
linear_solve
| 0
|
sinusoid
| 0.5
| 1
| 240
| 9
| 3.906409
|
Solve for x: 3.9064094073242672x + 3 = 27
FINAL:
| 6.143749
| 6.143749
|
linear_solve
| 0
|
sinusoid
| 0.5
| 1
| 240
| 10
| 3.910313
|
Solve for x: 3.910312725846731x + 3 = 27
FINAL:
| 6.137617
| 6.137617
|
linear_solve
| 0
|
sinusoid
| 0.5
| 1
| 240
| 11
| 3.91508
|
Solve for x: 3.915079781847342x + 3 = 27
FINAL:
| 6.130143
| 6.130143
|
linear_solve
| 0
|
sinusoid
| 0.5
| 1
| 240
| 12
| 3.920665
|
Solve for x: 3.9206646659708766x + 3 = 27
FINAL:
| 6.121411
| 6.121411
|
linear_solve
| 0
|
sinusoid
| 0.5
| 1
| 240
| 13
| 3.927014
|
Solve for x: 3.9270135927302166x + 3 = 27
FINAL:
| 6.111514
| 6.111514
|
linear_solve
| 0
|
sinusoid
| 0.5
| 1
| 240
| 14
| 3.934065
|
Solve for x: 3.9340654184899932x + 3 = 27
FINAL:
| 6.100559
| 6.100559
|
linear_solve
| 0
|
sinusoid
| 0.5
| 1
| 240
| 15
| 3.941752
|
Solve for x: 3.9417522303132198x + 3 = 27
FINAL:
| 6.088663
| 6.088663
|
linear_solve
| 0
|
sinusoid
| 0.5
| 1
| 240
| 16
| 3.95
|
Solve for x: 3.95x + 3 = 27
FINAL:
| 6.075949
| 6.075949
|
linear_solve
| 0
|
sinusoid
| 0.5
| 1
| 240
| 17
| 3.958729
|
Solve for x: 3.9587292970195604x + 3 = 27
FINAL:
| 6.062551
| 6.062551
|
linear_solve
| 0
|
sinusoid
| 0.5
| 1
| 240
| 18
| 3.967856
|
Solve for x: 3.9678560534696836x + 3 = 27
FINAL:
| 6.048607
| 6.048607
|
linear_solve
| 0
|
sinusoid
| 0.5
| 1
| 240
| 19
| 3.977292
|
Solve for x: 3.9772923736965624x + 3 = 27
FINAL:
| 6.034256
| 6.034256
|
linear_solve
| 0
|
sinusoid
| 0.5
| 1
| 240
| 20
| 3.986947
|
Solve for x: 3.9869473807779947x + 3 = 27
FINAL:
| 6.019643
| 6.019643
|
linear_solve
| 0
|
sinusoid
| 0.5
| 1
| 240
| 21
| 3.996728
|
Solve for x: 3.9967280917178223x + 3 = 27
FINAL:
| 6.004912
| 6.004912
|
linear_solve
| 0
|
sinusoid
| 0.5
| 1
| 240
| 22
| 4.00654
|
Solve for x: 4.006540312923014x + 3 = 27
FINAL:
| 5.990206
| 5.990206
|
linear_solve
| 0
|
sinusoid
| 0.5
| 1
| 240
| 23
| 4.01629
|
Solve for x: 4.016289547339459x + 3 = 27
FINAL:
| 5.975665
| 5.975665
|
linear_solve
| 0
|
sinusoid
| 0.5
| 1
| 240
| 24
| 4.025882
|
Solve for x: 4.025881904510252x + 3 = 27
FINAL:
| 5.961427
| 5.961427
|
linear_solve
| 0
|
sinusoid
| 0.5
| 1
| 240
| 25
| 4.035225
|
Solve for x: 4.035225004792124x + 3 = 27
FINAL:
| 5.947624
| 5.947624
|
linear_solve
| 0
|
sinusoid
| 0.5
| 1
| 240
| 26
| 4.044229
|
Solve for x: 4.0442288690219x + 3 = 27
FINAL:
| 5.934382
| 5.934382
|
linear_solve
| 0
|
sinusoid
| 0.5
| 1
| 240
| 27
| 4.052807
|
Solve for x: 4.052806785065036x + 3 = 27
FINAL:
| 5.921822
| 5.921822
|
linear_solve
| 0
|
sinusoid
| 0.5
| 1
| 240
| 28
| 4.060876
|
Solve for x: 4.060876142900872x + 3 = 27
FINAL:
| 5.910055
| 5.910055
|
linear_solve
| 0
|
sinusoid
| 0.5
| 1
| 240
| 29
| 4.068359
|
Solve for x: 4.0683592302022875x + 3 = 27
FINAL:
| 5.899184
| 5.899184
|
linear_solve
| 0
|
sinusoid
| 0.5
| 1
| 240
| 30
| 4.075184
|
Solve for x: 4.075183980747898x + 3 = 27
FINAL:
| 5.889305
| 5.889305
|
linear_solve
| 0
|
sinusoid
| 0.5
| 1
| 240
| 31
| 4.081285
|
Solve for x: 4.081284668459161x + 3 = 27
FINAL:
| 5.880501
| 5.880501
|
linear_solve
| 0
|
sinusoid
| 0.5
| 1
| 240
| 32
| 4.086603
|
Solve for x: 4.086602540378443x + 3 = 27
FINAL:
| 5.872849
| 5.872849
|
linear_solve
| 0
|
sinusoid
| 0.5
| 1
| 240
| 33
| 4.091086
|
Solve for x: 4.091086382492118x + 3 = 27
FINAL:
| 5.866412
| 5.866412
|
linear_solve
| 0
|
sinusoid
| 0.5
| 1
| 240
| 34
| 4.094693
|
Solve for x: 4.09469301294951x + 3 = 27
FINAL:
| 5.861245
| 5.861245
|
linear_solve
| 0
|
sinusoid
| 0.5
| 1
| 240
| 35
| 4.097388
|
Solve for x: 4.097387697927734x + 3 = 27
FINAL:
| 5.857391
| 5.857391
|
linear_solve
| 0
|
sinusoid
| 0.5
| 1
| 240
| 36
| 4.099144
|
Solve for x: 4.099144486137381x + 3 = 27
FINAL:
| 5.85488
| 5.85488
|
linear_solve
| 0
|
sinusoid
| 0.5
| 1
| 240
| 37
| 4.099946
|
Solve for x: 4.099946458747636x + 3 = 27
FINAL:
| 5.853735
| 5.853735
|
linear_solve
| 0
|
sinusoid
| 0.5
| 1
| 240
| 38
| 4.099786
|
Solve for x: 4.09978589232386x + 3 = 27
FINAL:
| 5.853964
| 5.853964
|
linear_solve
| 0
|
sinusoid
| 0.5
| 1
| 240
| 39
| 4.098664
|
Solve for x: 4.098664333208488x + 3 = 27
FINAL:
| 5.855566
| 5.855566
|
linear_solve
| 0
|
sinusoid
| 0.5
| 1
| 240
| 40
| 4.096593
|
Solve for x: 4.096592582628907x + 3 = 27
FINAL:
| 5.858527
| 5.858527
|
linear_solve
| 0
|
sinusoid
| 0.5
| 1
| 240
| 41
| 4.093591
|
Solve for x: 4.093590592675732x + 3 = 27
FINAL:
| 5.862824
| 5.862824
|
linear_solve
| 0
|
sinusoid
| 0.5
| 1
| 240
| 42
| 4.089687
|
Solve for x: 4.089687274153269x + 3 = 27
FINAL:
| 5.868419
| 5.868419
|
linear_solve
| 0
|
sinusoid
| 0.5
| 1
| 240
| 43
| 4.08492
|
Solve for x: 4.084920218152658x + 3 = 27
FINAL:
| 5.875268
| 5.875268
|
linear_solve
| 0
|
sinusoid
| 0.5
| 1
| 240
| 44
| 4.079335
|
Solve for x: 4.079335334029124x + 3 = 27
FINAL:
| 5.883311
| 5.883311
|
linear_solve
| 0
|
sinusoid
| 0.5
| 1
| 240
| 45
| 4.072986
|
Solve for x: 4.0729864072697834x + 3 = 27
FINAL:
| 5.892482
| 5.892482
|
linear_solve
| 0
|
sinusoid
| 0.5
| 1
| 240
| 46
| 4.065935
|
Solve for x: 4.065934581510007x + 3 = 27
FINAL:
| 5.902702
| 5.902702
|
linear_solve
| 0
|
sinusoid
| 0.5
| 1
| 240
| 47
| 4.058248
|
Solve for x: 4.05824776968678x + 3 = 27
FINAL:
| 5.913882
| 5.913882
|
linear_solve
| 0
|
sinusoid
| 0.5
| 1
| 240
| 48
| 4.05
|
Solve for x: 4.05x + 3 = 27
FINAL:
| 5.925926
| 5.925926
|
linear_solve
| 0
|
sinusoid
| 0.5
| 1
| 240
| 49
| 4.041271
|
Solve for x: 4.041270702980439x + 3 = 27
FINAL:
| 5.938726
| 5.938726
|
linear_solve
| 0
|
sinusoid
| 0.5
| 1
| 240
| 50
| 4.032144
|
Solve for x: 4.032143946530316x + 3 = 27
FINAL:
| 5.952168
| 5.952168
|
linear_solve
| 0
|
sinusoid
| 0.5
| 1
| 240
| 51
| 4.022708
|
Solve for x: 4.022707626303437x + 3 = 27
FINAL:
| 5.966131
| 5.966131
|
linear_solve
| 0
|
sinusoid
| 0.5
| 1
| 240
| 52
| 4.013053
|
Solve for x: 4.013052619222005x + 3 = 27
FINAL:
| 5.980485
| 5.980485
|
linear_solve
| 0
|
sinusoid
| 0.5
| 1
| 240
| 53
| 4.003272
|
Solve for x: 4.003271908282178x + 3 = 27
FINAL:
| 5.995096
| 5.995096
|
linear_solve
| 0
|
sinusoid
| 0.5
| 1
| 240
| 54
| 3.99346
|
Solve for x: 3.993459687076986x + 3 = 27
FINAL:
| 6.009827
| 6.009827
|
linear_solve
| 0
|
sinusoid
| 0.5
| 1
| 240
| 55
| 3.98371
|
Solve for x: 3.9837104526605414x + 3 = 27
FINAL:
| 6.024534
| 6.024534
|
linear_solve
| 0
|
sinusoid
| 0.5
| 1
| 240
| 56
| 3.974118
|
Solve for x: 3.974118095489748x + 3 = 27
FINAL:
| 6.039076
| 6.039076
|
linear_solve
| 0
|
sinusoid
| 0.5
| 1
| 240
| 57
| 3.964775
|
Solve for x: 3.964774995207877x + 3 = 27
FINAL:
| 6.053307
| 6.053307
|
linear_solve
| 0
|
sinusoid
| 0.5
| 1
| 240
| 58
| 3.955771
|
Solve for x: 3.9557711309781x + 3 = 27
FINAL:
| 6.067085
| 6.067085
|
linear_solve
| 0
|
sinusoid
| 0.5
| 1
| 240
| 59
| 3.947193
|
Solve for x: 3.947193214934963x + 3 = 27
FINAL:
| 6.08027
| 6.08027
|
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