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
1
1
120
40
3.948236
Solve for x: 3.948236190979496x + 5 = 41 FINAL:
9.117996
9.117996
linear_solve
1
sinusoid
1
1
120
41
3.967421
Solve for x: 3.9674209053210823x + 5 = 41 FINAL:
9.073905
9.073905
linear_solve
1
sinusoid
1
1
120
42
3.986919
Solve for x: 3.9869193741539712x + 5 = 41 FINAL:
9.029528
9.029528
linear_solve
1
sinusoid
1
1
120
43
4.006544
Solve for x: 4.006543816564355x + 5 = 41 FINAL:
8.9853
8.9853
linear_solve
1
sinusoid
1
1
120
44
4.026105
Solve for x: 4.02610523844401x + 5 = 41 FINAL:
8.941644
8.941644
linear_solve
1
sinusoid
1
1
120
45
4.045415
Solve for x: 4.045415252606874x + 5 = 41 FINAL:
8.898963
8.898963
linear_solve
1
sinusoid
1
1
120
46
4.064288
Solve for x: 4.064287893060632x + 5 = 41 FINAL:
8.85764
8.85764
linear_solve
1
sinusoid
1
1
120
47
4.082541
Solve for x: 4.082541405960879x + 5 = 41 FINAL:
8.818037
8.818037
linear_solve
1
sinusoid
1
1
120
48
4.1
Solve for x: 4.1x + 5 = 41 FINAL:
8.780488
8.780488
linear_solve
1
sinusoid
1
1
120
49
4.116496
Solve for x: 4.1164955393735605x + 5 = 41 FINAL:
8.745303
8.745303
linear_solve
1
sinusoid
1
1
120
50
4.131869
Solve for x: 4.1318691630200135x + 5 = 41 FINAL:
8.712764
8.712764
linear_solve
1
sinusoid
1
1
120
51
4.145973
Solve for x: 4.145972814539567x + 5 = 41 FINAL:
8.683125
8.683125
linear_solve
1
sinusoid
1
1
120
52
4.158671
Solve for x: 4.158670668058247x + 5 = 41 FINAL:
8.656612
8.656612
linear_solve
1
sinusoid
1
1
120
53
4.16984
Solve for x: 4.169840436305316x + 5 = 41 FINAL:
8.633424
8.633424
linear_solve
1
sinusoid
1
1
120
54
4.179375
Solve for x: 4.179374548306537x + 5 = 41 FINAL:
8.613729
8.613729
linear_solve
1
sinusoid
1
1
120
55
4.187181
Solve for x: 4.1871811853514656x + 5 = 41 FINAL:
8.59767
8.59767
linear_solve
1
sinusoid
1
1
120
56
4.193185
Solve for x: 4.193185165257813x + 5 = 41 FINAL:
8.585359
8.585359
linear_solve
1
sinusoid
1
1
120
57
4.197329
Solve for x: 4.1973286664169756x + 5 = 41 FINAL:
8.576884
8.576884
linear_solve
1
sinusoid
1
1
120
58
4.199572
Solve for x: 4.199571784647721x + 5 = 41 FINAL:
8.572303
8.572303
linear_solve
1
sinusoid
1
1
120
59
4.199893
Solve for x: 4.199892917495273x + 5 = 41 FINAL:
8.571647
8.571647
linear_solve
1
sinusoid
1
1
120
60
4.198289
Solve for x: 4.198288972274762x + 5 = 41 FINAL:
8.574922
8.574922
linear_solve
1
sinusoid
1
1
120
61
4.194775
Solve for x: 4.1947753958554665x + 5 = 41 FINAL:
8.582104
8.582104
linear_solve
1
sinusoid
1
1
120
62
4.189386
Solve for x: 4.189386025899021x + 5 = 41 FINAL:
8.593145
8.593145
linear_solve
1
sinusoid
1
1
120
63
4.182173
Solve for x: 4.1821727649842355x + 5 = 41 FINAL:
8.607966
8.607966
linear_solve
1
sinusoid
1
2
120
0
4.173205
Solve for x: 4.173205080756888x + 5 = 41 FINAL:
8.626463
8.626463
linear_solve
1
sinusoid
1
2
120
1
4.150368
Solve for x: 4.150367961495796x + 5 = 41 FINAL:
8.67393
8.67393
linear_solve
1
sinusoid
1
2
120
2
4.121752
Solve for x: 4.121752285801744x + 5 = 41 FINAL:
8.734149
8.734149
linear_solve
1
sinusoid
1
2
120
3
4.088458
Solve for x: 4.0884577380438x + 5 = 41 FINAL:
8.805276
8.805276
linear_solve
1
sinusoid
1
2
120
4
4.051764
Solve for x: 4.051763809020504x + 5 = 41 FINAL:
8.885019
8.885019
linear_solve
1
sinusoid
1
2
120
5
4.013081
Solve for x: 4.013080625846029x + 5 = 41 FINAL:
8.970665
8.970665
linear_solve
1
sinusoid
1
2
120
6
3.973895
Solve for x: 3.97389476155599x + 5 = 41 FINAL:
9.059123
9.059123
linear_solve
1
sinusoid
1
2
120
7
3.935712
Solve for x: 3.9357121069393677x + 5 = 41 FINAL:
9.147011
9.147011
linear_solve
1
sinusoid
1
2
120
8
3.9
Solve for x: 3.9x + 5 = 41 FINAL:
9.230769
9.230769
linear_solve
1
sinusoid
1
2
120
9
3.868131
Solve for x: 3.8681308369799865x + 5 = 41 FINAL:
9.306821
9.306821
linear_solve
1
sinusoid
1
2
120
10
3.841329
Solve for x: 3.841329331941753x + 5 = 41 FINAL:
9.371756
9.371756
linear_solve
1
sinusoid
1
2
120
11
3.820625
Solve for x: 3.8206254516934623x + 5 = 41 FINAL:
9.422541
9.422541
linear_solve
1
sinusoid
1
2
120
12
3.806815
Solve for x: 3.806814834742186x + 5 = 41 FINAL:
9.456725
9.456725
linear_solve
1
sinusoid
1
2
120
13
3.800428
Solve for x: 3.8004282153522793x + 5 = 41 FINAL:
9.472617
9.472617
linear_solve
1
sinusoid
1
2
120
14
3.801711
Solve for x: 3.8017110277252377x + 5 = 41 FINAL:
9.46942
9.46942
linear_solve
1
sinusoid
1
2
120
15
3.810614
Solve for x: 3.810613974100979x + 5 = 41 FINAL:
9.447296
9.447296
linear_solve
1
sinusoid
1
2
120
16
3.826795
Solve for x: 3.8267949192431123x + 5 = 41 FINAL:
9.40735
9.40735
linear_solve
1
sinusoid
1
2
120
17
3.849632
Solve for x: 3.8496320385042044x + 5 = 41 FINAL:
9.351543
9.351543
linear_solve
1
sinusoid
1
2
120
18
3.878248
Solve for x: 3.8782477141982556x + 5 = 41 FINAL:
9.282543
9.282543
linear_solve
1
sinusoid
1
2
120
19
3.911542
Solve for x: 3.9115422619561997x + 5 = 41 FINAL:
9.203531
9.203531
linear_solve
1
sinusoid
1
2
120
20
3.948236
Solve for x: 3.948236190979496x + 5 = 41 FINAL:
9.117996
9.117996
linear_solve
1
sinusoid
1
2
120
21
3.986919
Solve for x: 3.9869193741539712x + 5 = 41 FINAL:
9.029528
9.029528
linear_solve
1
sinusoid
1
2
120
22
4.026105
Solve for x: 4.02610523844401x + 5 = 41 FINAL:
8.941644
8.941644
linear_solve
1
sinusoid
1
2
120
23
4.064288
Solve for x: 4.064287893060632x + 5 = 41 FINAL:
8.85764
8.85764
linear_solve
1
sinusoid
1
2
120
24
4.1
Solve for x: 4.1x + 5 = 41 FINAL:
8.780488
8.780488
linear_solve
1
sinusoid
1
2
120
25
4.131869
Solve for x: 4.1318691630200135x + 5 = 41 FINAL:
8.712764
8.712764
linear_solve
1
sinusoid
1
2
120
26
4.158671
Solve for x: 4.158670668058247x + 5 = 41 FINAL:
8.656612
8.656612
linear_solve
1
sinusoid
1
2
120
27
4.179375
Solve for x: 4.179374548306537x + 5 = 41 FINAL:
8.613729
8.613729
linear_solve
1
sinusoid
1
2
120
28
4.193185
Solve for x: 4.193185165257813x + 5 = 41 FINAL:
8.585359
8.585359
linear_solve
1
sinusoid
1
2
120
29
4.199572
Solve for x: 4.199571784647721x + 5 = 41 FINAL:
8.572303
8.572303
linear_solve
1
sinusoid
1
2
120
30
4.198289
Solve for x: 4.198288972274762x + 5 = 41 FINAL:
8.574922
8.574922
linear_solve
1
sinusoid
1
2
120
31
4.189386
Solve for x: 4.189386025899021x + 5 = 41 FINAL:
8.593145
8.593145
linear_solve
1
sinusoid
1
2
120
32
4.173205
Solve for x: 4.173205080756888x + 5 = 41 FINAL:
8.626463
8.626463
linear_solve
1
sinusoid
1
2
120
33
4.150368
Solve for x: 4.150367961495795x + 5 = 41 FINAL:
8.67393
8.67393
linear_solve
1
sinusoid
1
2
120
34
4.121752
Solve for x: 4.121752285801744x + 5 = 41 FINAL:
8.734149
8.734149
linear_solve
1
sinusoid
1
2
120
35
4.088458
Solve for x: 4.0884577380438x + 5 = 41 FINAL:
8.805276
8.805276
linear_solve
1
sinusoid
1
2
120
36
4.051764
Solve for x: 4.051763809020504x + 5 = 41 FINAL:
8.885019
8.885019
linear_solve
1
sinusoid
1
2
120
37
4.013081
Solve for x: 4.013080625846029x + 5 = 41 FINAL:
8.970665
8.970665
linear_solve
1
sinusoid
1
2
120
38
3.973895
Solve for x: 3.97389476155599x + 5 = 41 FINAL:
9.059123
9.059123
linear_solve
1
sinusoid
1
2
120
39
3.935712
Solve for x: 3.9357121069393677x + 5 = 41 FINAL:
9.147011
9.147011
linear_solve
1
sinusoid
1
2
120
40
3.9
Solve for x: 3.9000000000000004x + 5 = 41 FINAL:
9.230769
9.230769
linear_solve
1
sinusoid
1
2
120
41
3.868131
Solve for x: 3.8681308369799865x + 5 = 41 FINAL:
9.306821
9.306821
linear_solve
1
sinusoid
1
2
120
42
3.841329
Solve for x: 3.841329331941753x + 5 = 41 FINAL:
9.371756
9.371756
linear_solve
1
sinusoid
1
2
120
43
3.820625
Solve for x: 3.8206254516934623x + 5 = 41 FINAL:
9.422541
9.422541
linear_solve
1
sinusoid
1
2
120
44
3.806815
Solve for x: 3.8068148347421866x + 5 = 41 FINAL:
9.456725
9.456725
linear_solve
1
sinusoid
1
2
120
45
3.800428
Solve for x: 3.8004282153522793x + 5 = 41 FINAL:
9.472617
9.472617
linear_solve
1
sinusoid
1
2
120
46
3.801711
Solve for x: 3.8017110277252377x + 5 = 41 FINAL:
9.46942
9.46942
linear_solve
1
sinusoid
1
2
120
47
3.810614
Solve for x: 3.810613974100979x + 5 = 41 FINAL:
9.447296
9.447296
linear_solve
1
sinusoid
1
2
120
48
3.826795
Solve for x: 3.8267949192431123x + 5 = 41 FINAL:
9.40735
9.40735
linear_solve
1
sinusoid
1
2
120
49
3.849632
Solve for x: 3.8496320385042044x + 5 = 41 FINAL:
9.351543
9.351543
linear_solve
1
sinusoid
1
2
120
50
3.878248
Solve for x: 3.8782477141982556x + 5 = 41 FINAL:
9.282543
9.282543
linear_solve
1
sinusoid
1
2
120
51
3.911542
Solve for x: 3.9115422619561997x + 5 = 41 FINAL:
9.203531
9.203531
linear_solve
1
sinusoid
1
2
120
52
3.948236
Solve for x: 3.948236190979496x + 5 = 41 FINAL:
9.117996
9.117996
linear_solve
1
sinusoid
1
2
120
53
3.986919
Solve for x: 3.9869193741539712x + 5 = 41 FINAL:
9.029528
9.029528
linear_solve
1
sinusoid
1
2
120
54
4.026105
Solve for x: 4.02610523844401x + 5 = 41 FINAL:
8.941644
8.941644
linear_solve
1
sinusoid
1
2
120
55
4.064288
Solve for x: 4.064287893060632x + 5 = 41 FINAL:
8.85764
8.85764
linear_solve
1
sinusoid
1
2
120
56
4.1
Solve for x: 4.1x + 5 = 41 FINAL:
8.780488
8.780488
linear_solve
1
sinusoid
1
2
120
57
4.131869
Solve for x: 4.1318691630200135x + 5 = 41 FINAL:
8.712764
8.712764
linear_solve
1
sinusoid
1
2
120
58
4.158671
Solve for x: 4.158670668058247x + 5 = 41 FINAL:
8.656612
8.656612
linear_solve
1
sinusoid
1
2
120
59
4.179375
Solve for x: 4.179374548306537x + 5 = 41 FINAL:
8.613729
8.613729
linear_solve
1
sinusoid
1
2
120
60
4.193185
Solve for x: 4.193185165257813x + 5 = 41 FINAL:
8.585359
8.585359
linear_solve
1
sinusoid
1
2
120
61
4.199572
Solve for x: 4.199571784647721x + 5 = 41 FINAL:
8.572303
8.572303
linear_solve
1
sinusoid
1
2
120
62
4.198289
Solve for x: 4.198288972274762x + 5 = 41 FINAL:
8.574922
8.574922
linear_solve
1
sinusoid
1
2
120
63
4.189386
Solve for x: 4.189386025899021x + 5 = 41 FINAL:
8.593145
8.593145
linear_solve
1
sinusoid
1
4
120
0
4.173205
Solve for x: 4.173205080756888x + 5 = 41 FINAL:
8.626463
8.626463
linear_solve
1
sinusoid
1
4
120
1
4.121752
Solve for x: 4.121752285801744x + 5 = 41 FINAL:
8.734149
8.734149
linear_solve
1
sinusoid
1
4
120
2
4.051764
Solve for x: 4.051763809020504x + 5 = 41 FINAL:
8.885019
8.885019
linear_solve
1
sinusoid
1
4
120
3
3.973895
Solve for x: 3.97389476155599x + 5 = 41 FINAL:
9.059123
9.059123
linear_solve
1
sinusoid
1
4
120
4
3.9
Solve for x: 3.9x + 5 = 41 FINAL:
9.230769
9.230769
linear_solve
1
sinusoid
1
4
120
5
3.841329
Solve for x: 3.841329331941753x + 5 = 41 FINAL:
9.371756
9.371756
linear_solve
1
sinusoid
1
4
120
6
3.806815
Solve for x: 3.806814834742186x + 5 = 41 FINAL:
9.456725
9.456725
linear_solve
1
sinusoid
1
4
120
7
3.801711
Solve for x: 3.8017110277252377x + 5 = 41 FINAL:
9.46942
9.46942
linear_solve
1
sinusoid
1
4
120
8
3.826795
Solve for x: 3.8267949192431123x + 5 = 41 FINAL:
9.40735
9.40735
linear_solve
1
sinusoid
1
4
120
9
3.878248
Solve for x: 3.8782477141982556x + 5 = 41 FINAL:
9.282543
9.282543
linear_solve
1
sinusoid
1
4
120
10
3.948236
Solve for x: 3.948236190979496x + 5 = 41 FINAL:
9.117996
9.117996
linear_solve
1
sinusoid
1
4
120
11
4.026105
Solve for x: 4.02610523844401x + 5 = 41 FINAL:
8.941644
8.941644