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
1
sinusoid
0.5
1
120
20
3.920665
Solve for x: 3.9206646659708766x + 5 = 41 FINAL:
9.182117
9.182117
linear_solve
1
sinusoid
0.5
1
120
21
3.91508
Solve for x: 3.915079781847342x + 5 = 41 FINAL:
9.195215
9.195215
linear_solve
1
sinusoid
0.5
1
120
22
3.910313
Solve for x: 3.9103127258467314x + 5 = 41 FINAL:
9.206425
9.206425
linear_solve
1
sinusoid
0.5
1
120
23
3.906409
Solve for x: 3.9064094073242677x + 5 = 41 FINAL:
9.215624
9.215624
linear_solve
1
sinusoid
0.5
1
120
24
3.903407
Solve for x: 3.9034074173710933x + 5 = 41 FINAL:
9.222711
9.222711
linear_solve
1
sinusoid
0.5
1
120
25
3.901336
Solve for x: 3.9013356667915122x + 5 = 41 FINAL:
9.227609
9.227609
linear_solve
1
sinusoid
0.5
1
120
26
3.900214
Solve for x: 3.9002141076761396x + 5 = 41 FINAL:
9.230262
9.230262
linear_solve
1
sinusoid
0.5
1
120
27
3.900054
Solve for x: 3.9000535412523636x + 5 = 41 FINAL:
9.230643
9.230643
linear_solve
1
sinusoid
0.5
1
120
28
3.900856
Solve for x: 3.900855513862619x + 5 = 41 FINAL:
9.228745
9.228745
linear_solve
1
sinusoid
0.5
1
120
29
3.902612
Solve for x: 3.9026123020722667x + 5 = 41 FINAL:
9.22459
9.22459
linear_solve
1
sinusoid
0.5
1
120
30
3.905307
Solve for x: 3.9053069870504893x + 5 = 41 FINAL:
9.218225
9.218225
linear_solve
1
sinusoid
0.5
1
120
31
3.908914
Solve for x: 3.9089136175078822x + 5 = 41 FINAL:
9.20972
9.20972
linear_solve
1
sinusoid
0.5
1
120
32
3.913397
Solve for x: 3.913397459621556x + 5 = 41 FINAL:
9.199168
9.199168
linear_solve
1
sinusoid
0.5
1
120
33
3.918715
Solve for x: 3.9187153315408385x + 5 = 41 FINAL:
9.186684
9.186684
linear_solve
1
sinusoid
0.5
1
120
34
3.924816
Solve for x: 3.9248160192521024x + 5 = 41 FINAL:
9.172404
9.172404
linear_solve
1
sinusoid
0.5
1
120
35
3.931641
Solve for x: 3.931640769797713x + 5 = 41 FINAL:
9.156483
9.156483
linear_solve
1
sinusoid
0.5
1
120
36
3.939124
Solve for x: 3.939123857099128x + 5 = 41 FINAL:
9.139088
9.139088
linear_solve
1
sinusoid
0.5
1
120
37
3.947193
Solve for x: 3.947193214934963x + 5 = 41 FINAL:
9.120405
9.120405
linear_solve
1
sinusoid
0.5
1
120
38
3.955771
Solve for x: 3.9557711309781x + 5 = 41 FINAL:
9.100628
9.100628
linear_solve
1
sinusoid
0.5
1
120
39
3.964775
Solve for x: 3.964774995207877x + 5 = 41 FINAL:
9.07996
9.07996
linear_solve
1
sinusoid
0.5
1
120
40
3.974118
Solve for x: 3.974118095489748x + 5 = 41 FINAL:
9.058614
9.058614
linear_solve
1
sinusoid
0.5
1
120
41
3.98371
Solve for x: 3.983710452660541x + 5 = 41 FINAL:
9.036801
9.036801
linear_solve
1
sinusoid
0.5
1
120
42
3.99346
Solve for x: 3.9934596870769856x + 5 = 41 FINAL:
9.01474
9.01474
linear_solve
1
sinusoid
0.5
1
120
43
4.003272
Solve for x: 4.003271908282177x + 5 = 41 FINAL:
8.992644
8.992644
linear_solve
1
sinusoid
0.5
1
120
44
4.013053
Solve for x: 4.013052619222005x + 5 = 41 FINAL:
8.970727
8.970727
linear_solve
1
sinusoid
0.5
1
120
45
4.022708
Solve for x: 4.022707626303437x + 5 = 41 FINAL:
8.949196
8.949196
linear_solve
1
sinusoid
0.5
1
120
46
4.032144
Solve for x: 4.032143946530316x + 5 = 41 FINAL:
8.928253
8.928253
linear_solve
1
sinusoid
0.5
1
120
47
4.041271
Solve for x: 4.041270702980439x + 5 = 41 FINAL:
8.908089
8.908089
linear_solve
1
sinusoid
0.5
1
120
48
4.05
Solve for x: 4.05x + 5 = 41 FINAL:
8.888889
8.888889
linear_solve
1
sinusoid
0.5
1
120
49
4.058248
Solve for x: 4.05824776968678x + 5 = 41 FINAL:
8.870824
8.870824
linear_solve
1
sinusoid
0.5
1
120
50
4.065935
Solve for x: 4.065934581510007x + 5 = 41 FINAL:
8.854053
8.854053
linear_solve
1
sinusoid
0.5
1
120
51
4.072986
Solve for x: 4.0729864072697834x + 5 = 41 FINAL:
8.838723
8.838723
linear_solve
1
sinusoid
0.5
1
120
52
4.079335
Solve for x: 4.079335334029124x + 5 = 41 FINAL:
8.824967
8.824967
linear_solve
1
sinusoid
0.5
1
120
53
4.08492
Solve for x: 4.084920218152658x + 5 = 41 FINAL:
8.812902
8.812902
linear_solve
1
sinusoid
0.5
1
120
54
4.089687
Solve for x: 4.089687274153269x + 5 = 41 FINAL:
8.802629
8.802629
linear_solve
1
sinusoid
0.5
1
120
55
4.093591
Solve for x: 4.093590592675732x + 5 = 41 FINAL:
8.794236
8.794236
linear_solve
1
sinusoid
0.5
1
120
56
4.096593
Solve for x: 4.096592582628907x + 5 = 41 FINAL:
8.787791
8.787791
linear_solve
1
sinusoid
0.5
1
120
57
4.098664
Solve for x: 4.098664333208488x + 5 = 41 FINAL:
8.783349
8.783349
linear_solve
1
sinusoid
0.5
1
120
58
4.099786
Solve for x: 4.09978589232386x + 5 = 41 FINAL:
8.780946
8.780946
linear_solve
1
sinusoid
0.5
1
120
59
4.099946
Solve for x: 4.099946458747636x + 5 = 41 FINAL:
8.780602
8.780602
linear_solve
1
sinusoid
0.5
1
120
60
4.099144
Solve for x: 4.099144486137381x + 5 = 41 FINAL:
8.78232
8.78232
linear_solve
1
sinusoid
0.5
1
120
61
4.097388
Solve for x: 4.097387697927734x + 5 = 41 FINAL:
8.786086
8.786086
linear_solve
1
sinusoid
0.5
1
120
62
4.094693
Solve for x: 4.09469301294951x + 5 = 41 FINAL:
8.791868
8.791868
linear_solve
1
sinusoid
0.5
1
120
63
4.091086
Solve for x: 4.091086382492118x + 5 = 41 FINAL:
8.799619
8.799619
linear_solve
1
sinusoid
0.5
2
120
0
4.086603
Solve for x: 4.086602540378444x + 5 = 41 FINAL:
8.809274
8.809274
linear_solve
1
sinusoid
0.5
2
120
1
4.075184
Solve for x: 4.075183980747898x + 5 = 41 FINAL:
8.833957
8.833957
linear_solve
1
sinusoid
0.5
2
120
2
4.060876
Solve for x: 4.060876142900872x + 5 = 41 FINAL:
8.865082
8.865082
linear_solve
1
sinusoid
0.5
2
120
3
4.044229
Solve for x: 4.0442288690219x + 5 = 41 FINAL:
8.901573
8.901573
linear_solve
1
sinusoid
0.5
2
120
4
4.025882
Solve for x: 4.0258819045102525x + 5 = 41 FINAL:
8.94214
8.94214
linear_solve
1
sinusoid
0.5
2
120
5
4.00654
Solve for x: 4.006540312923014x + 5 = 41 FINAL:
8.985308
8.985308
linear_solve
1
sinusoid
0.5
2
120
6
3.986947
Solve for x: 3.9869473807779947x + 5 = 41 FINAL:
9.029465
9.029465
linear_solve
1
sinusoid
0.5
2
120
7
3.967856
Solve for x: 3.967856053469684x + 5 = 41 FINAL:
9.07291
9.07291
linear_solve
1
sinusoid
0.5
2
120
8
3.95
Solve for x: 3.95x + 5 = 41 FINAL:
9.113924
9.113924
linear_solve
1
sinusoid
0.5
2
120
9
3.934065
Solve for x: 3.9340654184899932x + 5 = 41 FINAL:
9.150839
9.150839
linear_solve
1
sinusoid
0.5
2
120
10
3.920665
Solve for x: 3.9206646659708766x + 5 = 41 FINAL:
9.182117
9.182117
linear_solve
1
sinusoid
0.5
2
120
11
3.910313
Solve for x: 3.9103127258467314x + 5 = 41 FINAL:
9.206425
9.206425
linear_solve
1
sinusoid
0.5
2
120
12
3.903407
Solve for x: 3.9034074173710933x + 5 = 41 FINAL:
9.222711
9.222711
linear_solve
1
sinusoid
0.5
2
120
13
3.900214
Solve for x: 3.9002141076761396x + 5 = 41 FINAL:
9.230262
9.230262
linear_solve
1
sinusoid
0.5
2
120
14
3.900856
Solve for x: 3.900855513862619x + 5 = 41 FINAL:
9.228745
9.228745
linear_solve
1
sinusoid
0.5
2
120
15
3.905307
Solve for x: 3.9053069870504893x + 5 = 41 FINAL:
9.218225
9.218225
linear_solve
1
sinusoid
0.5
2
120
16
3.913397
Solve for x: 3.913397459621556x + 5 = 41 FINAL:
9.199168
9.199168
linear_solve
1
sinusoid
0.5
2
120
17
3.924816
Solve for x: 3.9248160192521024x + 5 = 41 FINAL:
9.172404
9.172404
linear_solve
1
sinusoid
0.5
2
120
18
3.939124
Solve for x: 3.939123857099128x + 5 = 41 FINAL:
9.139088
9.139088
linear_solve
1
sinusoid
0.5
2
120
19
3.955771
Solve for x: 3.9557711309781x + 5 = 41 FINAL:
9.100628
9.100628
linear_solve
1
sinusoid
0.5
2
120
20
3.974118
Solve for x: 3.974118095489748x + 5 = 41 FINAL:
9.058614
9.058614
linear_solve
1
sinusoid
0.5
2
120
21
3.99346
Solve for x: 3.9934596870769856x + 5 = 41 FINAL:
9.01474
9.01474
linear_solve
1
sinusoid
0.5
2
120
22
4.013053
Solve for x: 4.013052619222005x + 5 = 41 FINAL:
8.970727
8.970727
linear_solve
1
sinusoid
0.5
2
120
23
4.032144
Solve for x: 4.032143946530316x + 5 = 41 FINAL:
8.928253
8.928253
linear_solve
1
sinusoid
0.5
2
120
24
4.05
Solve for x: 4.05x + 5 = 41 FINAL:
8.888889
8.888889
linear_solve
1
sinusoid
0.5
2
120
25
4.065935
Solve for x: 4.065934581510007x + 5 = 41 FINAL:
8.854053
8.854053
linear_solve
1
sinusoid
0.5
2
120
26
4.079335
Solve for x: 4.079335334029124x + 5 = 41 FINAL:
8.824967
8.824967
linear_solve
1
sinusoid
0.5
2
120
27
4.089687
Solve for x: 4.089687274153269x + 5 = 41 FINAL:
8.802629
8.802629
linear_solve
1
sinusoid
0.5
2
120
28
4.096593
Solve for x: 4.096592582628907x + 5 = 41 FINAL:
8.787791
8.787791
linear_solve
1
sinusoid
0.5
2
120
29
4.099786
Solve for x: 4.09978589232386x + 5 = 41 FINAL:
8.780946
8.780946
linear_solve
1
sinusoid
0.5
2
120
30
4.099144
Solve for x: 4.099144486137381x + 5 = 41 FINAL:
8.78232
8.78232
linear_solve
1
sinusoid
0.5
2
120
31
4.094693
Solve for x: 4.09469301294951x + 5 = 41 FINAL:
8.791868
8.791868
linear_solve
1
sinusoid
0.5
2
120
32
4.086603
Solve for x: 4.086602540378444x + 5 = 41 FINAL:
8.809274
8.809274
linear_solve
1
sinusoid
0.5
2
120
33
4.075184
Solve for x: 4.075183980747898x + 5 = 41 FINAL:
8.833957
8.833957
linear_solve
1
sinusoid
0.5
2
120
34
4.060876
Solve for x: 4.060876142900872x + 5 = 41 FINAL:
8.865082
8.865082
linear_solve
1
sinusoid
0.5
2
120
35
4.044229
Solve for x: 4.0442288690219x + 5 = 41 FINAL:
8.901573
8.901573
linear_solve
1
sinusoid
0.5
2
120
36
4.025882
Solve for x: 4.0258819045102525x + 5 = 41 FINAL:
8.94214
8.94214
linear_solve
1
sinusoid
0.5
2
120
37
4.00654
Solve for x: 4.006540312923015x + 5 = 41 FINAL:
8.985308
8.985308
linear_solve
1
sinusoid
0.5
2
120
38
3.986947
Solve for x: 3.986947380777995x + 5 = 41 FINAL:
9.029465
9.029465
linear_solve
1
sinusoid
0.5
2
120
39
3.967856
Solve for x: 3.967856053469684x + 5 = 41 FINAL:
9.07291
9.07291
linear_solve
1
sinusoid
0.5
2
120
40
3.95
Solve for x: 3.95x + 5 = 41 FINAL:
9.113924
9.113924
linear_solve
1
sinusoid
0.5
2
120
41
3.934065
Solve for x: 3.9340654184899932x + 5 = 41 FINAL:
9.150839
9.150839
linear_solve
1
sinusoid
0.5
2
120
42
3.920665
Solve for x: 3.9206646659708766x + 5 = 41 FINAL:
9.182117
9.182117
linear_solve
1
sinusoid
0.5
2
120
43
3.910313
Solve for x: 3.9103127258467314x + 5 = 41 FINAL:
9.206425
9.206425
linear_solve
1
sinusoid
0.5
2
120
44
3.903407
Solve for x: 3.9034074173710933x + 5 = 41 FINAL:
9.222711
9.222711
linear_solve
1
sinusoid
0.5
2
120
45
3.900214
Solve for x: 3.9002141076761396x + 5 = 41 FINAL:
9.230262
9.230262
linear_solve
1
sinusoid
0.5
2
120
46
3.900856
Solve for x: 3.900855513862619x + 5 = 41 FINAL:
9.228745
9.228745
linear_solve
1
sinusoid
0.5
2
120
47
3.905307
Solve for x: 3.9053069870504893x + 5 = 41 FINAL:
9.218225
9.218225
linear_solve
1
sinusoid
0.5
2
120
48
3.913397
Solve for x: 3.913397459621556x + 5 = 41 FINAL:
9.199168
9.199168
linear_solve
1
sinusoid
0.5
2
120
49
3.924816
Solve for x: 3.924816019252102x + 5 = 41 FINAL:
9.172404
9.172404
linear_solve
1
sinusoid
0.5
2
120
50
3.939124
Solve for x: 3.939123857099128x + 5 = 41 FINAL:
9.139088
9.139088
linear_solve
1
sinusoid
0.5
2
120
51
3.955771
Solve for x: 3.9557711309781x + 5 = 41 FINAL:
9.100628
9.100628
linear_solve
1
sinusoid
0.5
2
120
52
3.974118
Solve for x: 3.974118095489748x + 5 = 41 FINAL:
9.058614
9.058614
linear_solve
1
sinusoid
0.5
2
120
53
3.99346
Solve for x: 3.9934596870769856x + 5 = 41 FINAL:
9.01474
9.01474
linear_solve
1
sinusoid
0.5
2
120
54
4.013053
Solve for x: 4.013052619222005x + 5 = 41 FINAL:
8.970727
8.970727
linear_solve
1
sinusoid
0.5
2
120
55
4.032144
Solve for x: 4.032143946530316x + 5 = 41 FINAL:
8.928253
8.928253