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
| 0.5
| 1
| 120
| 60
| 4.099144
|
Solve for x: 4.099144486137381x + 2 = 18
FINAL:
| 3.903253
| 3.903253
|
linear_solve
| 2
|
sinusoid
| 0.5
| 1
| 120
| 61
| 4.097388
|
Solve for x: 4.097387697927734x + 2 = 18
FINAL:
| 3.904927
| 3.904927
|
linear_solve
| 2
|
sinusoid
| 0.5
| 1
| 120
| 62
| 4.094693
|
Solve for x: 4.09469301294951x + 2 = 18
FINAL:
| 3.907497
| 3.907497
|
linear_solve
| 2
|
sinusoid
| 0.5
| 1
| 120
| 63
| 4.091086
|
Solve for x: 4.091086382492118x + 2 = 18
FINAL:
| 3.910942
| 3.910942
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 120
| 0
| 4.086603
|
Solve for x: 4.086602540378444x + 2 = 18
FINAL:
| 3.915233
| 3.915233
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 120
| 1
| 4.075184
|
Solve for x: 4.075183980747898x + 2 = 18
FINAL:
| 3.926203
| 3.926203
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 120
| 2
| 4.060876
|
Solve for x: 4.060876142900872x + 2 = 18
FINAL:
| 3.940036
| 3.940036
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 120
| 3
| 4.044229
|
Solve for x: 4.0442288690219x + 2 = 18
FINAL:
| 3.956255
| 3.956255
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 120
| 4
| 4.025882
|
Solve for x: 4.0258819045102525x + 2 = 18
FINAL:
| 3.974284
| 3.974284
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 120
| 5
| 4.00654
|
Solve for x: 4.006540312923014x + 2 = 18
FINAL:
| 3.99347
| 3.99347
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 120
| 6
| 3.986947
|
Solve for x: 3.9869473807779947x + 2 = 18
FINAL:
| 4.013095
| 4.013095
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 120
| 7
| 3.967856
|
Solve for x: 3.967856053469684x + 2 = 18
FINAL:
| 4.032404
| 4.032404
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 120
| 8
| 3.95
|
Solve for x: 3.95x + 2 = 18
FINAL:
| 4.050633
| 4.050633
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 120
| 9
| 3.934065
|
Solve for x: 3.9340654184899932x + 2 = 18
FINAL:
| 4.06704
| 4.06704
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 120
| 10
| 3.920665
|
Solve for x: 3.9206646659708766x + 2 = 18
FINAL:
| 4.080941
| 4.080941
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 120
| 11
| 3.910313
|
Solve for x: 3.9103127258467314x + 2 = 18
FINAL:
| 4.091744
| 4.091744
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 120
| 12
| 3.903407
|
Solve for x: 3.9034074173710933x + 2 = 18
FINAL:
| 4.098983
| 4.098983
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 120
| 13
| 3.900214
|
Solve for x: 3.9002141076761396x + 2 = 18
FINAL:
| 4.102339
| 4.102339
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 120
| 14
| 3.900856
|
Solve for x: 3.900855513862619x + 2 = 18
FINAL:
| 4.101664
| 4.101664
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 120
| 15
| 3.905307
|
Solve for x: 3.9053069870504893x + 2 = 18
FINAL:
| 4.096989
| 4.096989
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 120
| 16
| 3.913397
|
Solve for x: 3.913397459621556x + 2 = 18
FINAL:
| 4.088519
| 4.088519
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 120
| 17
| 3.924816
|
Solve for x: 3.9248160192521024x + 2 = 18
FINAL:
| 4.076624
| 4.076624
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 120
| 18
| 3.939124
|
Solve for x: 3.939123857099128x + 2 = 18
FINAL:
| 4.061817
| 4.061817
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 120
| 19
| 3.955771
|
Solve for x: 3.9557711309781x + 2 = 18
FINAL:
| 4.044723
| 4.044723
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 120
| 20
| 3.974118
|
Solve for x: 3.974118095489748x + 2 = 18
FINAL:
| 4.02605
| 4.02605
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 120
| 21
| 3.99346
|
Solve for x: 3.9934596870769856x + 2 = 18
FINAL:
| 4.006551
| 4.006551
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 120
| 22
| 4.013053
|
Solve for x: 4.013052619222005x + 2 = 18
FINAL:
| 3.98699
| 3.98699
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 120
| 23
| 4.032144
|
Solve for x: 4.032143946530316x + 2 = 18
FINAL:
| 3.968112
| 3.968112
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 120
| 24
| 4.05
|
Solve for x: 4.05x + 2 = 18
FINAL:
| 3.950617
| 3.950617
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 120
| 25
| 4.065935
|
Solve for x: 4.065934581510007x + 2 = 18
FINAL:
| 3.935135
| 3.935135
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 120
| 26
| 4.079335
|
Solve for x: 4.079335334029124x + 2 = 18
FINAL:
| 3.922208
| 3.922208
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 120
| 27
| 4.089687
|
Solve for x: 4.089687274153269x + 2 = 18
FINAL:
| 3.91228
| 3.91228
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 120
| 28
| 4.096593
|
Solve for x: 4.096592582628907x + 2 = 18
FINAL:
| 3.905685
| 3.905685
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 120
| 29
| 4.099786
|
Solve for x: 4.09978589232386x + 2 = 18
FINAL:
| 3.902643
| 3.902643
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 120
| 30
| 4.099144
|
Solve for x: 4.099144486137381x + 2 = 18
FINAL:
| 3.903253
| 3.903253
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 120
| 31
| 4.094693
|
Solve for x: 4.09469301294951x + 2 = 18
FINAL:
| 3.907497
| 3.907497
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 120
| 32
| 4.086603
|
Solve for x: 4.086602540378444x + 2 = 18
FINAL:
| 3.915233
| 3.915233
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 120
| 33
| 4.075184
|
Solve for x: 4.075183980747898x + 2 = 18
FINAL:
| 3.926203
| 3.926203
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 120
| 34
| 4.060876
|
Solve for x: 4.060876142900872x + 2 = 18
FINAL:
| 3.940036
| 3.940036
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 120
| 35
| 4.044229
|
Solve for x: 4.0442288690219x + 2 = 18
FINAL:
| 3.956255
| 3.956255
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 120
| 36
| 4.025882
|
Solve for x: 4.0258819045102525x + 2 = 18
FINAL:
| 3.974284
| 3.974284
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 120
| 37
| 4.00654
|
Solve for x: 4.006540312923015x + 2 = 18
FINAL:
| 3.99347
| 3.99347
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 120
| 38
| 3.986947
|
Solve for x: 3.986947380777995x + 2 = 18
FINAL:
| 4.013095
| 4.013095
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 120
| 39
| 3.967856
|
Solve for x: 3.967856053469684x + 2 = 18
FINAL:
| 4.032404
| 4.032404
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 120
| 40
| 3.95
|
Solve for x: 3.95x + 2 = 18
FINAL:
| 4.050633
| 4.050633
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 120
| 41
| 3.934065
|
Solve for x: 3.9340654184899932x + 2 = 18
FINAL:
| 4.06704
| 4.06704
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 120
| 42
| 3.920665
|
Solve for x: 3.9206646659708766x + 2 = 18
FINAL:
| 4.080941
| 4.080941
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 120
| 43
| 3.910313
|
Solve for x: 3.9103127258467314x + 2 = 18
FINAL:
| 4.091744
| 4.091744
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 120
| 44
| 3.903407
|
Solve for x: 3.9034074173710933x + 2 = 18
FINAL:
| 4.098983
| 4.098983
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 120
| 45
| 3.900214
|
Solve for x: 3.9002141076761396x + 2 = 18
FINAL:
| 4.102339
| 4.102339
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 120
| 46
| 3.900856
|
Solve for x: 3.900855513862619x + 2 = 18
FINAL:
| 4.101664
| 4.101664
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 120
| 47
| 3.905307
|
Solve for x: 3.9053069870504893x + 2 = 18
FINAL:
| 4.096989
| 4.096989
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 120
| 48
| 3.913397
|
Solve for x: 3.913397459621556x + 2 = 18
FINAL:
| 4.088519
| 4.088519
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 120
| 49
| 3.924816
|
Solve for x: 3.924816019252102x + 2 = 18
FINAL:
| 4.076624
| 4.076624
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 120
| 50
| 3.939124
|
Solve for x: 3.939123857099128x + 2 = 18
FINAL:
| 4.061817
| 4.061817
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 120
| 51
| 3.955771
|
Solve for x: 3.9557711309781x + 2 = 18
FINAL:
| 4.044723
| 4.044723
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 120
| 52
| 3.974118
|
Solve for x: 3.974118095489748x + 2 = 18
FINAL:
| 4.02605
| 4.02605
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 120
| 53
| 3.99346
|
Solve for x: 3.9934596870769856x + 2 = 18
FINAL:
| 4.006551
| 4.006551
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 120
| 54
| 4.013053
|
Solve for x: 4.013052619222005x + 2 = 18
FINAL:
| 3.98699
| 3.98699
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 120
| 55
| 4.032144
|
Solve for x: 4.032143946530316x + 2 = 18
FINAL:
| 3.968112
| 3.968112
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 120
| 56
| 4.05
|
Solve for x: 4.05x + 2 = 18
FINAL:
| 3.950617
| 3.950617
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 120
| 57
| 4.065935
|
Solve for x: 4.065934581510007x + 2 = 18
FINAL:
| 3.935135
| 3.935135
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 120
| 58
| 4.079335
|
Solve for x: 4.079335334029124x + 2 = 18
FINAL:
| 3.922208
| 3.922208
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 120
| 59
| 4.089687
|
Solve for x: 4.089687274153269x + 2 = 18
FINAL:
| 3.91228
| 3.91228
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 120
| 60
| 4.096593
|
Solve for x: 4.096592582628907x + 2 = 18
FINAL:
| 3.905685
| 3.905685
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 120
| 61
| 4.099786
|
Solve for x: 4.09978589232386x + 2 = 18
FINAL:
| 3.902643
| 3.902643
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 120
| 62
| 4.099144
|
Solve for x: 4.099144486137381x + 2 = 18
FINAL:
| 3.903253
| 3.903253
|
linear_solve
| 2
|
sinusoid
| 0.5
| 2
| 120
| 63
| 4.094693
|
Solve for x: 4.09469301294951x + 2 = 18
FINAL:
| 3.907497
| 3.907497
|
linear_solve
| 2
|
sinusoid
| 0.5
| 4
| 120
| 0
| 4.086603
|
Solve for x: 4.086602540378444x + 2 = 18
FINAL:
| 3.915233
| 3.915233
|
linear_solve
| 2
|
sinusoid
| 0.5
| 4
| 120
| 1
| 4.060876
|
Solve for x: 4.060876142900872x + 2 = 18
FINAL:
| 3.940036
| 3.940036
|
linear_solve
| 2
|
sinusoid
| 0.5
| 4
| 120
| 2
| 4.025882
|
Solve for x: 4.0258819045102525x + 2 = 18
FINAL:
| 3.974284
| 3.974284
|
linear_solve
| 2
|
sinusoid
| 0.5
| 4
| 120
| 3
| 3.986947
|
Solve for x: 3.9869473807779947x + 2 = 18
FINAL:
| 4.013095
| 4.013095
|
linear_solve
| 2
|
sinusoid
| 0.5
| 4
| 120
| 4
| 3.95
|
Solve for x: 3.95x + 2 = 18
FINAL:
| 4.050633
| 4.050633
|
linear_solve
| 2
|
sinusoid
| 0.5
| 4
| 120
| 5
| 3.920665
|
Solve for x: 3.9206646659708766x + 2 = 18
FINAL:
| 4.080941
| 4.080941
|
linear_solve
| 2
|
sinusoid
| 0.5
| 4
| 120
| 6
| 3.903407
|
Solve for x: 3.9034074173710933x + 2 = 18
FINAL:
| 4.098983
| 4.098983
|
linear_solve
| 2
|
sinusoid
| 0.5
| 4
| 120
| 7
| 3.900856
|
Solve for x: 3.900855513862619x + 2 = 18
FINAL:
| 4.101664
| 4.101664
|
linear_solve
| 2
|
sinusoid
| 0.5
| 4
| 120
| 8
| 3.913397
|
Solve for x: 3.913397459621556x + 2 = 18
FINAL:
| 4.088519
| 4.088519
|
linear_solve
| 2
|
sinusoid
| 0.5
| 4
| 120
| 9
| 3.939124
|
Solve for x: 3.939123857099128x + 2 = 18
FINAL:
| 4.061817
| 4.061817
|
linear_solve
| 2
|
sinusoid
| 0.5
| 4
| 120
| 10
| 3.974118
|
Solve for x: 3.974118095489748x + 2 = 18
FINAL:
| 4.02605
| 4.02605
|
linear_solve
| 2
|
sinusoid
| 0.5
| 4
| 120
| 11
| 4.013053
|
Solve for x: 4.013052619222005x + 2 = 18
FINAL:
| 3.98699
| 3.98699
|
linear_solve
| 2
|
sinusoid
| 0.5
| 4
| 120
| 12
| 4.05
|
Solve for x: 4.05x + 2 = 18
FINAL:
| 3.950617
| 3.950617
|
linear_solve
| 2
|
sinusoid
| 0.5
| 4
| 120
| 13
| 4.079335
|
Solve for x: 4.079335334029124x + 2 = 18
FINAL:
| 3.922208
| 3.922208
|
linear_solve
| 2
|
sinusoid
| 0.5
| 4
| 120
| 14
| 4.096593
|
Solve for x: 4.096592582628907x + 2 = 18
FINAL:
| 3.905685
| 3.905685
|
linear_solve
| 2
|
sinusoid
| 0.5
| 4
| 120
| 15
| 4.099144
|
Solve for x: 4.099144486137381x + 2 = 18
FINAL:
| 3.903253
| 3.903253
|
linear_solve
| 2
|
sinusoid
| 0.5
| 4
| 120
| 16
| 4.086603
|
Solve for x: 4.086602540378444x + 2 = 18
FINAL:
| 3.915233
| 3.915233
|
linear_solve
| 2
|
sinusoid
| 0.5
| 4
| 120
| 17
| 4.060876
|
Solve for x: 4.060876142900872x + 2 = 18
FINAL:
| 3.940036
| 3.940036
|
linear_solve
| 2
|
sinusoid
| 0.5
| 4
| 120
| 18
| 4.025882
|
Solve for x: 4.0258819045102525x + 2 = 18
FINAL:
| 3.974284
| 3.974284
|
linear_solve
| 2
|
sinusoid
| 0.5
| 4
| 120
| 19
| 3.986947
|
Solve for x: 3.986947380777995x + 2 = 18
FINAL:
| 4.013095
| 4.013095
|
linear_solve
| 2
|
sinusoid
| 0.5
| 4
| 120
| 20
| 3.95
|
Solve for x: 3.95x + 2 = 18
FINAL:
| 4.050633
| 4.050633
|
linear_solve
| 2
|
sinusoid
| 0.5
| 4
| 120
| 21
| 3.920665
|
Solve for x: 3.9206646659708766x + 2 = 18
FINAL:
| 4.080941
| 4.080941
|
linear_solve
| 2
|
sinusoid
| 0.5
| 4
| 120
| 22
| 3.903407
|
Solve for x: 3.9034074173710933x + 2 = 18
FINAL:
| 4.098983
| 4.098983
|
linear_solve
| 2
|
sinusoid
| 0.5
| 4
| 120
| 23
| 3.900856
|
Solve for x: 3.900855513862619x + 2 = 18
FINAL:
| 4.101664
| 4.101664
|
linear_solve
| 2
|
sinusoid
| 0.5
| 4
| 120
| 24
| 3.913397
|
Solve for x: 3.913397459621556x + 2 = 18
FINAL:
| 4.088519
| 4.088519
|
linear_solve
| 2
|
sinusoid
| 0.5
| 4
| 120
| 25
| 3.939124
|
Solve for x: 3.939123857099128x + 2 = 18
FINAL:
| 4.061817
| 4.061817
|
linear_solve
| 2
|
sinusoid
| 0.5
| 4
| 120
| 26
| 3.974118
|
Solve for x: 3.974118095489748x + 2 = 18
FINAL:
| 4.02605
| 4.02605
|
linear_solve
| 2
|
sinusoid
| 0.5
| 4
| 120
| 27
| 4.013053
|
Solve for x: 4.013052619222005x + 2 = 18
FINAL:
| 3.98699
| 3.98699
|
linear_solve
| 2
|
sinusoid
| 0.5
| 4
| 120
| 28
| 4.05
|
Solve for x: 4.05x + 2 = 18
FINAL:
| 3.950617
| 3.950617
|
linear_solve
| 2
|
sinusoid
| 0.5
| 4
| 120
| 29
| 4.079335
|
Solve for x: 4.079335334029124x + 2 = 18
FINAL:
| 3.922208
| 3.922208
|
linear_solve
| 2
|
sinusoid
| 0.5
| 4
| 120
| 30
| 4.096593
|
Solve for x: 4.096592582628907x + 2 = 18
FINAL:
| 3.905685
| 3.905685
|
linear_solve
| 2
|
sinusoid
| 0.5
| 4
| 120
| 31
| 4.099144
|
Solve for x: 4.099144486137381x + 2 = 18
FINAL:
| 3.903253
| 3.903253
|
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