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
240
20
3.973895
Solve for x: 3.9738947615559894x + 5 = 41 FINAL:
9.059123
9.059123
linear_solve
1
sinusoid
1
1
240
21
3.993456
Solve for x: 3.9934561834356446x + 5 = 41 FINAL:
9.014748
9.014748
linear_solve
1
sinusoid
1
1
240
22
4.013081
Solve for x: 4.013080625846029x + 5 = 41 FINAL:
8.970665
8.970665
linear_solve
1
sinusoid
1
1
240
23
4.032579
Solve for x: 4.032579094678917x + 5 = 41 FINAL:
8.927289
8.927289
linear_solve
1
sinusoid
1
1
240
24
4.051764
Solve for x: 4.051763809020504x + 5 = 41 FINAL:
8.885019
8.885019
linear_solve
1
sinusoid
1
1
240
25
4.07045
Solve for x: 4.070450009584246x + 5 = 41 FINAL:
8.844231
8.844231
linear_solve
1
sinusoid
1
1
240
26
4.088458
Solve for x: 4.0884577380438x + 5 = 41 FINAL:
8.805276
8.805276
linear_solve
1
sinusoid
1
1
240
27
4.105614
Solve for x: 4.105613570130074x + 5 = 41 FINAL:
8.768482
8.768482
linear_solve
1
sinusoid
1
1
240
28
4.121752
Solve for x: 4.121752285801744x + 5 = 41 FINAL:
8.734149
8.734149
linear_solve
1
sinusoid
1
1
240
29
4.136718
Solve for x: 4.136718460404574x + 5 = 41 FINAL:
8.70255
8.70255
linear_solve
1
sinusoid
1
1
240
30
4.150368
Solve for x: 4.150367961495795x + 5 = 41 FINAL:
8.67393
8.67393
linear_solve
1
sinusoid
1
1
240
31
4.162569
Solve for x: 4.162569336918323x + 5 = 41 FINAL:
8.648505
8.648505
linear_solve
1
sinusoid
1
1
240
32
4.173205
Solve for x: 4.173205080756888x + 5 = 41 FINAL:
8.626463
8.626463
linear_solve
1
sinusoid
1
1
240
33
4.182173
Solve for x: 4.1821727649842355x + 5 = 41 FINAL:
8.607966
8.607966
linear_solve
1
sinusoid
1
1
240
34
4.189386
Solve for x: 4.189386025899021x + 5 = 41 FINAL:
8.593145
8.593145
linear_solve
1
sinusoid
1
1
240
35
4.194775
Solve for x: 4.1947753958554665x + 5 = 41 FINAL:
8.582104
8.582104
linear_solve
1
sinusoid
1
1
240
36
4.198289
Solve for x: 4.198288972274762x + 5 = 41 FINAL:
8.574922
8.574922
linear_solve
1
sinusoid
1
1
240
37
4.199893
Solve for x: 4.199892917495273x + 5 = 41 FINAL:
8.571647
8.571647
linear_solve
1
sinusoid
1
1
240
38
4.199572
Solve for x: 4.199571784647721x + 5 = 41 FINAL:
8.572303
8.572303
linear_solve
1
sinusoid
1
1
240
39
4.197329
Solve for x: 4.1973286664169756x + 5 = 41 FINAL:
8.576884
8.576884
linear_solve
1
sinusoid
1
1
240
40
4.193185
Solve for x: 4.193185165257813x + 5 = 41 FINAL:
8.585359
8.585359
linear_solve
1
sinusoid
1
1
240
41
4.187181
Solve for x: 4.1871811853514656x + 5 = 41 FINAL:
8.59767
8.59767
linear_solve
1
sinusoid
1
1
240
42
4.179375
Solve for x: 4.179374548306538x + 5 = 41 FINAL:
8.613729
8.613729
linear_solve
1
sinusoid
1
1
240
43
4.16984
Solve for x: 4.169840436305316x + 5 = 41 FINAL:
8.633424
8.633424
linear_solve
1
sinusoid
1
1
240
44
4.158671
Solve for x: 4.158670668058248x + 5 = 41 FINAL:
8.656612
8.656612
linear_solve
1
sinusoid
1
1
240
45
4.145973
Solve for x: 4.145972814539567x + 5 = 41 FINAL:
8.683125
8.683125
linear_solve
1
sinusoid
1
1
240
46
4.131869
Solve for x: 4.1318691630200135x + 5 = 41 FINAL:
8.712764
8.712764
linear_solve
1
sinusoid
1
1
240
47
4.116496
Solve for x: 4.1164955393735605x + 5 = 41 FINAL:
8.745303
8.745303
linear_solve
1
sinusoid
1
1
240
48
4.1
Solve for x: 4.1x + 5 = 41 FINAL:
8.780488
8.780488
linear_solve
1
sinusoid
1
1
240
49
4.082541
Solve for x: 4.082541405960879x + 5 = 41 FINAL:
8.818037
8.818037
linear_solve
1
sinusoid
1
1
240
50
4.064288
Solve for x: 4.064287893060633x + 5 = 41 FINAL:
8.85764
8.85764
linear_solve
1
sinusoid
1
1
240
51
4.045415
Solve for x: 4.045415252606875x + 5 = 41 FINAL:
8.898963
8.898963
linear_solve
1
sinusoid
1
1
240
52
4.026105
Solve for x: 4.026105238444011x + 5 = 41 FINAL:
8.941644
8.941644
linear_solve
1
sinusoid
1
1
240
53
4.006544
Solve for x: 4.006543816564355x + 5 = 41 FINAL:
8.9853
8.9853
linear_solve
1
sinusoid
1
1
240
54
3.986919
Solve for x: 3.9869193741539717x + 5 = 41 FINAL:
9.029528
9.029528
linear_solve
1
sinusoid
1
1
240
55
3.967421
Solve for x: 3.9674209053210823x + 5 = 41 FINAL:
9.073905
9.073905
linear_solve
1
sinusoid
1
1
240
56
3.948236
Solve for x: 3.948236190979496x + 5 = 41 FINAL:
9.117996
9.117996
linear_solve
1
sinusoid
1
1
240
57
3.92955
Solve for x: 3.9295499904157536x + 5 = 41 FINAL:
9.161354
9.161354
linear_solve
1
sinusoid
1
1
240
58
3.911542
Solve for x: 3.9115422619561997x + 5 = 41 FINAL:
9.203531
9.203531
linear_solve
1
sinusoid
1
1
240
59
3.894386
Solve for x: 3.8943864298699262x + 5 = 41 FINAL:
9.244075
9.244075
linear_solve
1
sinusoid
1
1
240
60
3.878248
Solve for x: 3.878247714198256x + 5 = 41 FINAL:
9.282543
9.282543
linear_solve
1
sinusoid
1
1
240
61
3.863282
Solve for x: 3.863281539595426x + 5 = 41 FINAL:
9.318503
9.318503
linear_solve
1
sinusoid
1
1
240
62
3.849632
Solve for x: 3.8496320385042044x + 5 = 41 FINAL:
9.351543
9.351543
linear_solve
1
sinusoid
1
1
240
63
3.837431
Solve for x: 3.837430663081677x + 5 = 41 FINAL:
9.381277
9.381277
linear_solve
1
sinusoid
1
2
240
0
3.826795
Solve for x: 3.8267949192431123x + 5 = 41 FINAL:
9.40735
9.40735
linear_solve
1
sinusoid
1
2
240
1
3.810614
Solve for x: 3.810613974100979x + 5 = 41 FINAL:
9.447296
9.447296
linear_solve
1
sinusoid
1
2
240
2
3.801711
Solve for x: 3.801711027725238x + 5 = 41 FINAL:
9.46942
9.46942
linear_solve
1
sinusoid
1
2
240
3
3.800428
Solve for x: 3.8004282153522793x + 5 = 41 FINAL:
9.472617
9.472617
linear_solve
1
sinusoid
1
2
240
4
3.806815
Solve for x: 3.806814834742186x + 5 = 41 FINAL:
9.456725
9.456725
linear_solve
1
sinusoid
1
2
240
5
3.820625
Solve for x: 3.8206254516934623x + 5 = 41 FINAL:
9.422541
9.422541
linear_solve
1
sinusoid
1
2
240
6
3.841329
Solve for x: 3.841329331941753x + 5 = 41 FINAL:
9.371756
9.371756
linear_solve
1
sinusoid
1
2
240
7
3.868131
Solve for x: 3.868130836979986x + 5 = 41 FINAL:
9.306821
9.306821
linear_solve
1
sinusoid
1
2
240
8
3.9
Solve for x: 3.9x + 5 = 41 FINAL:
9.230769
9.230769
linear_solve
1
sinusoid
1
2
240
9
3.935712
Solve for x: 3.9357121069393677x + 5 = 41 FINAL:
9.147011
9.147011
linear_solve
1
sinusoid
1
2
240
10
3.973895
Solve for x: 3.9738947615559894x + 5 = 41 FINAL:
9.059123
9.059123
linear_solve
1
sinusoid
1
2
240
11
4.013081
Solve for x: 4.013080625846029x + 5 = 41 FINAL:
8.970665
8.970665
linear_solve
1
sinusoid
1
2
240
12
4.051764
Solve for x: 4.051763809020504x + 5 = 41 FINAL:
8.885019
8.885019
linear_solve
1
sinusoid
1
2
240
13
4.088458
Solve for x: 4.0884577380438x + 5 = 41 FINAL:
8.805276
8.805276
linear_solve
1
sinusoid
1
2
240
14
4.121752
Solve for x: 4.121752285801744x + 5 = 41 FINAL:
8.734149
8.734149
linear_solve
1
sinusoid
1
2
240
15
4.150368
Solve for x: 4.150367961495795x + 5 = 41 FINAL:
8.67393
8.67393
linear_solve
1
sinusoid
1
2
240
16
4.173205
Solve for x: 4.173205080756888x + 5 = 41 FINAL:
8.626463
8.626463
linear_solve
1
sinusoid
1
2
240
17
4.189386
Solve for x: 4.189386025899021x + 5 = 41 FINAL:
8.593145
8.593145
linear_solve
1
sinusoid
1
2
240
18
4.198289
Solve for x: 4.198288972274762x + 5 = 41 FINAL:
8.574922
8.574922
linear_solve
1
sinusoid
1
2
240
19
4.199572
Solve for x: 4.199571784647721x + 5 = 41 FINAL:
8.572303
8.572303
linear_solve
1
sinusoid
1
2
240
20
4.193185
Solve for x: 4.193185165257813x + 5 = 41 FINAL:
8.585359
8.585359
linear_solve
1
sinusoid
1
2
240
21
4.179375
Solve for x: 4.179374548306538x + 5 = 41 FINAL:
8.613729
8.613729
linear_solve
1
sinusoid
1
2
240
22
4.158671
Solve for x: 4.158670668058248x + 5 = 41 FINAL:
8.656612
8.656612
linear_solve
1
sinusoid
1
2
240
23
4.131869
Solve for x: 4.1318691630200135x + 5 = 41 FINAL:
8.712764
8.712764
linear_solve
1
sinusoid
1
2
240
24
4.1
Solve for x: 4.1x + 5 = 41 FINAL:
8.780488
8.780488
linear_solve
1
sinusoid
1
2
240
25
4.064288
Solve for x: 4.064287893060633x + 5 = 41 FINAL:
8.85764
8.85764
linear_solve
1
sinusoid
1
2
240
26
4.026105
Solve for x: 4.026105238444011x + 5 = 41 FINAL:
8.941644
8.941644
linear_solve
1
sinusoid
1
2
240
27
3.986919
Solve for x: 3.9869193741539717x + 5 = 41 FINAL:
9.029528
9.029528
linear_solve
1
sinusoid
1
2
240
28
3.948236
Solve for x: 3.948236190979496x + 5 = 41 FINAL:
9.117996
9.117996
linear_solve
1
sinusoid
1
2
240
29
3.911542
Solve for x: 3.9115422619561997x + 5 = 41 FINAL:
9.203531
9.203531
linear_solve
1
sinusoid
1
2
240
30
3.878248
Solve for x: 3.878247714198256x + 5 = 41 FINAL:
9.282543
9.282543
linear_solve
1
sinusoid
1
2
240
31
3.849632
Solve for x: 3.8496320385042044x + 5 = 41 FINAL:
9.351543
9.351543
linear_solve
1
sinusoid
1
2
240
32
3.826795
Solve for x: 3.8267949192431123x + 5 = 41 FINAL:
9.40735
9.40735
linear_solve
1
sinusoid
1
2
240
33
3.810614
Solve for x: 3.810613974100979x + 5 = 41 FINAL:
9.447296
9.447296
linear_solve
1
sinusoid
1
2
240
34
3.801711
Solve for x: 3.8017110277252377x + 5 = 41 FINAL:
9.46942
9.46942
linear_solve
1
sinusoid
1
2
240
35
3.800428
Solve for x: 3.8004282153522793x + 5 = 41 FINAL:
9.472617
9.472617
linear_solve
1
sinusoid
1
2
240
36
3.806815
Solve for x: 3.806814834742186x + 5 = 41 FINAL:
9.456725
9.456725
linear_solve
1
sinusoid
1
2
240
37
3.820625
Solve for x: 3.8206254516934623x + 5 = 41 FINAL:
9.422541
9.422541
linear_solve
1
sinusoid
1
2
240
38
3.841329
Solve for x: 3.8413293319417527x + 5 = 41 FINAL:
9.371756
9.371756
linear_solve
1
sinusoid
1
2
240
39
3.868131
Solve for x: 3.868130836979986x + 5 = 41 FINAL:
9.306821
9.306821
linear_solve
1
sinusoid
1
2
240
40
3.9
Solve for x: 3.9x + 5 = 41 FINAL:
9.230769
9.230769
linear_solve
1
sinusoid
1
2
240
41
3.935712
Solve for x: 3.9357121069393677x + 5 = 41 FINAL:
9.147011
9.147011
linear_solve
1
sinusoid
1
2
240
42
3.973895
Solve for x: 3.9738947615559894x + 5 = 41 FINAL:
9.059123
9.059123
linear_solve
1
sinusoid
1
2
240
43
4.013081
Solve for x: 4.013080625846028x + 5 = 41 FINAL:
8.970665
8.970665
linear_solve
1
sinusoid
1
2
240
44
4.051764
Solve for x: 4.051763809020503x + 5 = 41 FINAL:
8.885019
8.885019
linear_solve
1
sinusoid
1
2
240
45
4.088458
Solve for x: 4.0884577380438x + 5 = 41 FINAL:
8.805276
8.805276
linear_solve
1
sinusoid
1
2
240
46
4.121752
Solve for x: 4.121752285801744x + 5 = 41 FINAL:
8.734149
8.734149
linear_solve
1
sinusoid
1
2
240
47
4.150368
Solve for x: 4.150367961495795x + 5 = 41 FINAL:
8.67393
8.67393
linear_solve
1
sinusoid
1
2
240
48
4.173205
Solve for x: 4.173205080756888x + 5 = 41 FINAL:
8.626463
8.626463
linear_solve
1
sinusoid
1
2
240
49
4.189386
Solve for x: 4.1893860258990205x + 5 = 41 FINAL:
8.593145
8.593145
linear_solve
1
sinusoid
1
2
240
50
4.198289
Solve for x: 4.198288972274762x + 5 = 41 FINAL:
8.574922
8.574922
linear_solve
1
sinusoid
1
2
240
51
4.199572
Solve for x: 4.199571784647721x + 5 = 41 FINAL:
8.572303
8.572303
linear_solve
1
sinusoid
1
2
240
52
4.193185
Solve for x: 4.193185165257813x + 5 = 41 FINAL:
8.585359
8.585359
linear_solve
1
sinusoid
1
2
240
53
4.179375
Solve for x: 4.179374548306538x + 5 = 41 FINAL:
8.613729
8.613729
linear_solve
1
sinusoid
1
2
240
54
4.158671
Solve for x: 4.158670668058248x + 5 = 41 FINAL:
8.656612
8.656612
linear_solve
1
sinusoid
1
2
240
55
4.131869
Solve for x: 4.1318691630200135x + 5 = 41 FINAL:
8.712764
8.712764