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
240
0
3.913397
Solve for x: 3.913397459621556x + 5 = 41 FINAL:
9.199168
9.199168
linear_solve
1
sinusoid
0.5
1
240
1
3.908914
Solve for x: 3.9089136175078822x + 5 = 41 FINAL:
9.20972
9.20972
linear_solve
1
sinusoid
0.5
1
240
2
3.905307
Solve for x: 3.9053069870504893x + 5 = 41 FINAL:
9.218225
9.218225
linear_solve
1
sinusoid
0.5
1
240
3
3.902612
Solve for x: 3.9026123020722667x + 5 = 41 FINAL:
9.22459
9.22459
linear_solve
1
sinusoid
0.5
1
240
4
3.900856
Solve for x: 3.900855513862619x + 5 = 41 FINAL:
9.228745
9.228745
linear_solve
1
sinusoid
0.5
1
240
5
3.900054
Solve for x: 3.9000535412523636x + 5 = 41 FINAL:
9.230643
9.230643
linear_solve
1
sinusoid
0.5
1
240
6
3.900214
Solve for x: 3.9002141076761396x + 5 = 41 FINAL:
9.230262
9.230262
linear_solve
1
sinusoid
0.5
1
240
7
3.901336
Solve for x: 3.9013356667915122x + 5 = 41 FINAL:
9.227609
9.227609
linear_solve
1
sinusoid
0.5
1
240
8
3.903407
Solve for x: 3.9034074173710933x + 5 = 41 FINAL:
9.222711
9.222711
linear_solve
1
sinusoid
0.5
1
240
9
3.906409
Solve for x: 3.9064094073242672x + 5 = 41 FINAL:
9.215624
9.215624
linear_solve
1
sinusoid
0.5
1
240
10
3.910313
Solve for x: 3.910312725846731x + 5 = 41 FINAL:
9.206425
9.206425
linear_solve
1
sinusoid
0.5
1
240
11
3.91508
Solve for x: 3.915079781847342x + 5 = 41 FINAL:
9.195215
9.195215
linear_solve
1
sinusoid
0.5
1
240
12
3.920665
Solve for x: 3.9206646659708766x + 5 = 41 FINAL:
9.182117
9.182117
linear_solve
1
sinusoid
0.5
1
240
13
3.927014
Solve for x: 3.9270135927302166x + 5 = 41 FINAL:
9.167272
9.167272
linear_solve
1
sinusoid
0.5
1
240
14
3.934065
Solve for x: 3.9340654184899932x + 5 = 41 FINAL:
9.150839
9.150839
linear_solve
1
sinusoid
0.5
1
240
15
3.941752
Solve for x: 3.9417522303132198x + 5 = 41 FINAL:
9.132994
9.132994
linear_solve
1
sinusoid
0.5
1
240
16
3.95
Solve for x: 3.95x + 5 = 41 FINAL:
9.113924
9.113924
linear_solve
1
sinusoid
0.5
1
240
17
3.958729
Solve for x: 3.9587292970195604x + 5 = 41 FINAL:
9.093827
9.093827
linear_solve
1
sinusoid
0.5
1
240
18
3.967856
Solve for x: 3.9678560534696836x + 5 = 41 FINAL:
9.07291
9.07291
linear_solve
1
sinusoid
0.5
1
240
19
3.977292
Solve for x: 3.9772923736965624x + 5 = 41 FINAL:
9.051384
9.051384
linear_solve
1
sinusoid
0.5
1
240
20
3.986947
Solve for x: 3.9869473807779947x + 5 = 41 FINAL:
9.029465
9.029465
linear_solve
1
sinusoid
0.5
1
240
21
3.996728
Solve for x: 3.9967280917178223x + 5 = 41 FINAL:
9.007368
9.007368
linear_solve
1
sinusoid
0.5
1
240
22
4.00654
Solve for x: 4.006540312923014x + 5 = 41 FINAL:
8.985308
8.985308
linear_solve
1
sinusoid
0.5
1
240
23
4.01629
Solve for x: 4.016289547339459x + 5 = 41 FINAL:
8.963497
8.963497
linear_solve
1
sinusoid
0.5
1
240
24
4.025882
Solve for x: 4.025881904510252x + 5 = 41 FINAL:
8.94214
8.94214
linear_solve
1
sinusoid
0.5
1
240
25
4.035225
Solve for x: 4.035225004792124x + 5 = 41 FINAL:
8.921436
8.921436
linear_solve
1
sinusoid
0.5
1
240
26
4.044229
Solve for x: 4.0442288690219x + 5 = 41 FINAL:
8.901573
8.901573
linear_solve
1
sinusoid
0.5
1
240
27
4.052807
Solve for x: 4.052806785065036x + 5 = 41 FINAL:
8.882733
8.882733
linear_solve
1
sinusoid
0.5
1
240
28
4.060876
Solve for x: 4.060876142900872x + 5 = 41 FINAL:
8.865082
8.865082
linear_solve
1
sinusoid
0.5
1
240
29
4.068359
Solve for x: 4.0683592302022875x + 5 = 41 FINAL:
8.848776
8.848776
linear_solve
1
sinusoid
0.5
1
240
30
4.075184
Solve for x: 4.075183980747898x + 5 = 41 FINAL:
8.833957
8.833957
linear_solve
1
sinusoid
0.5
1
240
31
4.081285
Solve for x: 4.081284668459161x + 5 = 41 FINAL:
8.820752
8.820752
linear_solve
1
sinusoid
0.5
1
240
32
4.086603
Solve for x: 4.086602540378443x + 5 = 41 FINAL:
8.809274
8.809274
linear_solve
1
sinusoid
0.5
1
240
33
4.091086
Solve for x: 4.091086382492118x + 5 = 41 FINAL:
8.799619
8.799619
linear_solve
1
sinusoid
0.5
1
240
34
4.094693
Solve for x: 4.09469301294951x + 5 = 41 FINAL:
8.791868
8.791868
linear_solve
1
sinusoid
0.5
1
240
35
4.097388
Solve for x: 4.097387697927734x + 5 = 41 FINAL:
8.786086
8.786086
linear_solve
1
sinusoid
0.5
1
240
36
4.099144
Solve for x: 4.099144486137381x + 5 = 41 FINAL:
8.78232
8.78232
linear_solve
1
sinusoid
0.5
1
240
37
4.099946
Solve for x: 4.099946458747636x + 5 = 41 FINAL:
8.780602
8.780602
linear_solve
1
sinusoid
0.5
1
240
38
4.099786
Solve for x: 4.09978589232386x + 5 = 41 FINAL:
8.780946
8.780946
linear_solve
1
sinusoid
0.5
1
240
39
4.098664
Solve for x: 4.098664333208488x + 5 = 41 FINAL:
8.783349
8.783349
linear_solve
1
sinusoid
0.5
1
240
40
4.096593
Solve for x: 4.096592582628907x + 5 = 41 FINAL:
8.787791
8.787791
linear_solve
1
sinusoid
0.5
1
240
41
4.093591
Solve for x: 4.093590592675732x + 5 = 41 FINAL:
8.794236
8.794236
linear_solve
1
sinusoid
0.5
1
240
42
4.089687
Solve for x: 4.089687274153269x + 5 = 41 FINAL:
8.802629
8.802629
linear_solve
1
sinusoid
0.5
1
240
43
4.08492
Solve for x: 4.084920218152658x + 5 = 41 FINAL:
8.812902
8.812902
linear_solve
1
sinusoid
0.5
1
240
44
4.079335
Solve for x: 4.079335334029124x + 5 = 41 FINAL:
8.824967
8.824967
linear_solve
1
sinusoid
0.5
1
240
45
4.072986
Solve for x: 4.0729864072697834x + 5 = 41 FINAL:
8.838723
8.838723
linear_solve
1
sinusoid
0.5
1
240
46
4.065935
Solve for x: 4.065934581510007x + 5 = 41 FINAL:
8.854053
8.854053
linear_solve
1
sinusoid
0.5
1
240
47
4.058248
Solve for x: 4.05824776968678x + 5 = 41 FINAL:
8.870824
8.870824
linear_solve
1
sinusoid
0.5
1
240
48
4.05
Solve for x: 4.05x + 5 = 41 FINAL:
8.888889
8.888889
linear_solve
1
sinusoid
0.5
1
240
49
4.041271
Solve for x: 4.041270702980439x + 5 = 41 FINAL:
8.908089
8.908089
linear_solve
1
sinusoid
0.5
1
240
50
4.032144
Solve for x: 4.032143946530316x + 5 = 41 FINAL:
8.928253
8.928253
linear_solve
1
sinusoid
0.5
1
240
51
4.022708
Solve for x: 4.022707626303437x + 5 = 41 FINAL:
8.949196
8.949196
linear_solve
1
sinusoid
0.5
1
240
52
4.013053
Solve for x: 4.013052619222005x + 5 = 41 FINAL:
8.970727
8.970727
linear_solve
1
sinusoid
0.5
1
240
53
4.003272
Solve for x: 4.003271908282178x + 5 = 41 FINAL:
8.992644
8.992644
linear_solve
1
sinusoid
0.5
1
240
54
3.99346
Solve for x: 3.993459687076986x + 5 = 41 FINAL:
9.01474
9.01474
linear_solve
1
sinusoid
0.5
1
240
55
3.98371
Solve for x: 3.9837104526605414x + 5 = 41 FINAL:
9.036801
9.036801
linear_solve
1
sinusoid
0.5
1
240
56
3.974118
Solve for x: 3.974118095489748x + 5 = 41 FINAL:
9.058614
9.058614
linear_solve
1
sinusoid
0.5
1
240
57
3.964775
Solve for x: 3.964774995207877x + 5 = 41 FINAL:
9.07996
9.07996
linear_solve
1
sinusoid
0.5
1
240
58
3.955771
Solve for x: 3.9557711309781x + 5 = 41 FINAL:
9.100628
9.100628
linear_solve
1
sinusoid
0.5
1
240
59
3.947193
Solve for x: 3.947193214934963x + 5 = 41 FINAL:
9.120405
9.120405
linear_solve
1
sinusoid
0.5
1
240
60
3.939124
Solve for x: 3.939123857099128x + 5 = 41 FINAL:
9.139088
9.139088
linear_solve
1
sinusoid
0.5
1
240
61
3.931641
Solve for x: 3.931640769797713x + 5 = 41 FINAL:
9.156483
9.156483
linear_solve
1
sinusoid
0.5
1
240
62
3.924816
Solve for x: 3.9248160192521024x + 5 = 41 FINAL:
9.172404
9.172404
linear_solve
1
sinusoid
0.5
1
240
63
3.918715
Solve for x: 3.9187153315408385x + 5 = 41 FINAL:
9.186684
9.186684
linear_solve
1
sinusoid
0.5
2
240
0
3.913397
Solve for x: 3.913397459621556x + 5 = 41 FINAL:
9.199168
9.199168
linear_solve
1
sinusoid
0.5
2
240
1
3.905307
Solve for x: 3.9053069870504893x + 5 = 41 FINAL:
9.218225
9.218225
linear_solve
1
sinusoid
0.5
2
240
2
3.900856
Solve for x: 3.900855513862619x + 5 = 41 FINAL:
9.228745
9.228745
linear_solve
1
sinusoid
0.5
2
240
3
3.900214
Solve for x: 3.9002141076761396x + 5 = 41 FINAL:
9.230262
9.230262
linear_solve
1
sinusoid
0.5
2
240
4
3.903407
Solve for x: 3.9034074173710933x + 5 = 41 FINAL:
9.222711
9.222711
linear_solve
1
sinusoid
0.5
2
240
5
3.910313
Solve for x: 3.910312725846731x + 5 = 41 FINAL:
9.206425
9.206425
linear_solve
1
sinusoid
0.5
2
240
6
3.920665
Solve for x: 3.9206646659708766x + 5 = 41 FINAL:
9.182117
9.182117
linear_solve
1
sinusoid
0.5
2
240
7
3.934065
Solve for x: 3.9340654184899932x + 5 = 41 FINAL:
9.150839
9.150839
linear_solve
1
sinusoid
0.5
2
240
8
3.95
Solve for x: 3.95x + 5 = 41 FINAL:
9.113924
9.113924
linear_solve
1
sinusoid
0.5
2
240
9
3.967856
Solve for x: 3.9678560534696836x + 5 = 41 FINAL:
9.07291
9.07291
linear_solve
1
sinusoid
0.5
2
240
10
3.986947
Solve for x: 3.9869473807779947x + 5 = 41 FINAL:
9.029465
9.029465
linear_solve
1
sinusoid
0.5
2
240
11
4.00654
Solve for x: 4.006540312923014x + 5 = 41 FINAL:
8.985308
8.985308
linear_solve
1
sinusoid
0.5
2
240
12
4.025882
Solve for x: 4.025881904510252x + 5 = 41 FINAL:
8.94214
8.94214
linear_solve
1
sinusoid
0.5
2
240
13
4.044229
Solve for x: 4.0442288690219x + 5 = 41 FINAL:
8.901573
8.901573
linear_solve
1
sinusoid
0.5
2
240
14
4.060876
Solve for x: 4.060876142900872x + 5 = 41 FINAL:
8.865082
8.865082
linear_solve
1
sinusoid
0.5
2
240
15
4.075184
Solve for x: 4.075183980747898x + 5 = 41 FINAL:
8.833957
8.833957
linear_solve
1
sinusoid
0.5
2
240
16
4.086603
Solve for x: 4.086602540378443x + 5 = 41 FINAL:
8.809274
8.809274
linear_solve
1
sinusoid
0.5
2
240
17
4.094693
Solve for x: 4.09469301294951x + 5 = 41 FINAL:
8.791868
8.791868
linear_solve
1
sinusoid
0.5
2
240
18
4.099144
Solve for x: 4.099144486137381x + 5 = 41 FINAL:
8.78232
8.78232
linear_solve
1
sinusoid
0.5
2
240
19
4.099786
Solve for x: 4.09978589232386x + 5 = 41 FINAL:
8.780946
8.780946
linear_solve
1
sinusoid
0.5
2
240
20
4.096593
Solve for x: 4.096592582628907x + 5 = 41 FINAL:
8.787791
8.787791
linear_solve
1
sinusoid
0.5
2
240
21
4.089687
Solve for x: 4.089687274153269x + 5 = 41 FINAL:
8.802629
8.802629
linear_solve
1
sinusoid
0.5
2
240
22
4.079335
Solve for x: 4.079335334029124x + 5 = 41 FINAL:
8.824967
8.824967
linear_solve
1
sinusoid
0.5
2
240
23
4.065935
Solve for x: 4.065934581510007x + 5 = 41 FINAL:
8.854053
8.854053
linear_solve
1
sinusoid
0.5
2
240
24
4.05
Solve for x: 4.05x + 5 = 41 FINAL:
8.888889
8.888889
linear_solve
1
sinusoid
0.5
2
240
25
4.032144
Solve for x: 4.032143946530316x + 5 = 41 FINAL:
8.928253
8.928253
linear_solve
1
sinusoid
0.5
2
240
26
4.013053
Solve for x: 4.013052619222005x + 5 = 41 FINAL:
8.970727
8.970727
linear_solve
1
sinusoid
0.5
2
240
27
3.99346
Solve for x: 3.993459687076986x + 5 = 41 FINAL:
9.01474
9.01474
linear_solve
1
sinusoid
0.5
2
240
28
3.974118
Solve for x: 3.974118095489748x + 5 = 41 FINAL:
9.058614
9.058614
linear_solve
1
sinusoid
0.5
2
240
29
3.955771
Solve for x: 3.9557711309781x + 5 = 41 FINAL:
9.100628
9.100628
linear_solve
1
sinusoid
0.5
2
240
30
3.939124
Solve for x: 3.939123857099128x + 5 = 41 FINAL:
9.139088
9.139088
linear_solve
1
sinusoid
0.5
2
240
31
3.924816
Solve for x: 3.9248160192521024x + 5 = 41 FINAL:
9.172404
9.172404
linear_solve
1
sinusoid
0.5
2
240
32
3.913397
Solve for x: 3.913397459621556x + 5 = 41 FINAL:
9.199168
9.199168
linear_solve
1
sinusoid
0.5
2
240
33
3.905307
Solve for x: 3.9053069870504893x + 5 = 41 FINAL:
9.218225
9.218225
linear_solve
1
sinusoid
0.5
2
240
34
3.900856
Solve for x: 3.900855513862619x + 5 = 41 FINAL:
9.228745
9.228745
linear_solve
1
sinusoid
0.5
2
240
35
3.900214
Solve for x: 3.9002141076761396x + 5 = 41 FINAL:
9.230262
9.230262