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
2
240
56
4.1
Solve for x: 4.1x + 5 = 41 FINAL:
8.780488
8.780488
linear_solve
1
sinusoid
1
2
240
57
4.064288
Solve for x: 4.064287893060633x + 5 = 41 FINAL:
8.85764
8.85764
linear_solve
1
sinusoid
1
2
240
58
4.026105
Solve for x: 4.026105238444011x + 5 = 41 FINAL:
8.941644
8.941644
linear_solve
1
sinusoid
1
2
240
59
3.986919
Solve for x: 3.9869193741539717x + 5 = 41 FINAL:
9.029528
9.029528
linear_solve
1
sinusoid
1
2
240
60
3.948236
Solve for x: 3.9482361909794963x + 5 = 41 FINAL:
9.117996
9.117996
linear_solve
1
sinusoid
1
2
240
61
3.911542
Solve for x: 3.9115422619561997x + 5 = 41 FINAL:
9.203531
9.203531
linear_solve
1
sinusoid
1
2
240
62
3.878248
Solve for x: 3.878247714198256x + 5 = 41 FINAL:
9.282543
9.282543
linear_solve
1
sinusoid
1
2
240
63
3.849632
Solve for x: 3.849632038504205x + 5 = 41 FINAL:
9.351543
9.351543
linear_solve
1
sinusoid
1
4
240
0
3.826795
Solve for x: 3.8267949192431123x + 5 = 41 FINAL:
9.40735
9.40735
linear_solve
1
sinusoid
1
4
240
1
3.801711
Solve for x: 3.801711027725238x + 5 = 41 FINAL:
9.46942
9.46942
linear_solve
1
sinusoid
1
4
240
2
3.806815
Solve for x: 3.806814834742186x + 5 = 41 FINAL:
9.456725
9.456725
linear_solve
1
sinusoid
1
4
240
3
3.841329
Solve for x: 3.841329331941753x + 5 = 41 FINAL:
9.371756
9.371756
linear_solve
1
sinusoid
1
4
240
4
3.9
Solve for x: 3.9x + 5 = 41 FINAL:
9.230769
9.230769
linear_solve
1
sinusoid
1
4
240
5
3.973895
Solve for x: 3.9738947615559894x + 5 = 41 FINAL:
9.059123
9.059123
linear_solve
1
sinusoid
1
4
240
6
4.051764
Solve for x: 4.051763809020504x + 5 = 41 FINAL:
8.885019
8.885019
linear_solve
1
sinusoid
1
4
240
7
4.121752
Solve for x: 4.121752285801744x + 5 = 41 FINAL:
8.734149
8.734149
linear_solve
1
sinusoid
1
4
240
8
4.173205
Solve for x: 4.173205080756888x + 5 = 41 FINAL:
8.626463
8.626463
linear_solve
1
sinusoid
1
4
240
9
4.198289
Solve for x: 4.198288972274762x + 5 = 41 FINAL:
8.574922
8.574922
linear_solve
1
sinusoid
1
4
240
10
4.193185
Solve for x: 4.193185165257813x + 5 = 41 FINAL:
8.585359
8.585359
linear_solve
1
sinusoid
1
4
240
11
4.158671
Solve for x: 4.158670668058248x + 5 = 41 FINAL:
8.656612
8.656612
linear_solve
1
sinusoid
1
4
240
12
4.1
Solve for x: 4.1x + 5 = 41 FINAL:
8.780488
8.780488
linear_solve
1
sinusoid
1
4
240
13
4.026105
Solve for x: 4.026105238444011x + 5 = 41 FINAL:
8.941644
8.941644
linear_solve
1
sinusoid
1
4
240
14
3.948236
Solve for x: 3.948236190979496x + 5 = 41 FINAL:
9.117996
9.117996
linear_solve
1
sinusoid
1
4
240
15
3.878248
Solve for x: 3.878247714198256x + 5 = 41 FINAL:
9.282543
9.282543
linear_solve
1
sinusoid
1
4
240
16
3.826795
Solve for x: 3.8267949192431123x + 5 = 41 FINAL:
9.40735
9.40735
linear_solve
1
sinusoid
1
4
240
17
3.801711
Solve for x: 3.8017110277252377x + 5 = 41 FINAL:
9.46942
9.46942
linear_solve
1
sinusoid
1
4
240
18
3.806815
Solve for x: 3.806814834742186x + 5 = 41 FINAL:
9.456725
9.456725
linear_solve
1
sinusoid
1
4
240
19
3.841329
Solve for x: 3.8413293319417527x + 5 = 41 FINAL:
9.371756
9.371756
linear_solve
1
sinusoid
1
4
240
20
3.9
Solve for x: 3.9x + 5 = 41 FINAL:
9.230769
9.230769
linear_solve
1
sinusoid
1
4
240
21
3.973895
Solve for x: 3.9738947615559894x + 5 = 41 FINAL:
9.059123
9.059123
linear_solve
1
sinusoid
1
4
240
22
4.051764
Solve for x: 4.051763809020503x + 5 = 41 FINAL:
8.885019
8.885019
linear_solve
1
sinusoid
1
4
240
23
4.121752
Solve for x: 4.121752285801744x + 5 = 41 FINAL:
8.734149
8.734149
linear_solve
1
sinusoid
1
4
240
24
4.173205
Solve for x: 4.173205080756888x + 5 = 41 FINAL:
8.626463
8.626463
linear_solve
1
sinusoid
1
4
240
25
4.198289
Solve for x: 4.198288972274762x + 5 = 41 FINAL:
8.574922
8.574922
linear_solve
1
sinusoid
1
4
240
26
4.193185
Solve for x: 4.193185165257813x + 5 = 41 FINAL:
8.585359
8.585359
linear_solve
1
sinusoid
1
4
240
27
4.158671
Solve for x: 4.158670668058248x + 5 = 41 FINAL:
8.656612
8.656612
linear_solve
1
sinusoid
1
4
240
28
4.1
Solve for x: 4.1x + 5 = 41 FINAL:
8.780488
8.780488
linear_solve
1
sinusoid
1
4
240
29
4.026105
Solve for x: 4.026105238444011x + 5 = 41 FINAL:
8.941644
8.941644
linear_solve
1
sinusoid
1
4
240
30
3.948236
Solve for x: 3.9482361909794963x + 5 = 41 FINAL:
9.117996
9.117996
linear_solve
1
sinusoid
1
4
240
31
3.878248
Solve for x: 3.878247714198256x + 5 = 41 FINAL:
9.282543
9.282543
linear_solve
1
sinusoid
1
4
240
32
3.826795
Solve for x: 3.8267949192431123x + 5 = 41 FINAL:
9.40735
9.40735
linear_solve
1
sinusoid
1
4
240
33
3.801711
Solve for x: 3.8017110277252377x + 5 = 41 FINAL:
9.46942
9.46942
linear_solve
1
sinusoid
1
4
240
34
3.806815
Solve for x: 3.806814834742186x + 5 = 41 FINAL:
9.456725
9.456725
linear_solve
1
sinusoid
1
4
240
35
3.841329
Solve for x: 3.8413293319417527x + 5 = 41 FINAL:
9.371756
9.371756
linear_solve
1
sinusoid
1
4
240
36
3.9
Solve for x: 3.9x + 5 = 41 FINAL:
9.230769
9.230769
linear_solve
1
sinusoid
1
4
240
37
3.973895
Solve for x: 3.9738947615559894x + 5 = 41 FINAL:
9.059123
9.059123
linear_solve
1
sinusoid
1
4
240
38
4.051764
Solve for x: 4.051763809020503x + 5 = 41 FINAL:
8.885019
8.885019
linear_solve
1
sinusoid
1
4
240
39
4.121752
Solve for x: 4.121752285801744x + 5 = 41 FINAL:
8.734149
8.734149
linear_solve
1
sinusoid
1
4
240
40
4.173205
Solve for x: 4.173205080756888x + 5 = 41 FINAL:
8.626463
8.626463
linear_solve
1
sinusoid
1
4
240
41
4.198289
Solve for x: 4.198288972274762x + 5 = 41 FINAL:
8.574922
8.574922
linear_solve
1
sinusoid
1
4
240
42
4.193185
Solve for x: 4.193185165257813x + 5 = 41 FINAL:
8.585359
8.585359
linear_solve
1
sinusoid
1
4
240
43
4.158671
Solve for x: 4.158670668058248x + 5 = 41 FINAL:
8.656612
8.656612
linear_solve
1
sinusoid
1
4
240
44
4.1
Solve for x: 4.1000000000000005x + 5 = 41 FINAL:
8.780488
8.780488
linear_solve
1
sinusoid
1
4
240
45
4.026105
Solve for x: 4.026105238444011x + 5 = 41 FINAL:
8.941644
8.941644
linear_solve
1
sinusoid
1
4
240
46
3.948236
Solve for x: 3.9482361909794963x + 5 = 41 FINAL:
9.117996
9.117996
linear_solve
1
sinusoid
1
4
240
47
3.878248
Solve for x: 3.878247714198256x + 5 = 41 FINAL:
9.282543
9.282543
linear_solve
1
sinusoid
1
4
240
48
3.826795
Solve for x: 3.8267949192431123x + 5 = 41 FINAL:
9.40735
9.40735
linear_solve
1
sinusoid
1
4
240
49
3.801711
Solve for x: 3.801711027725238x + 5 = 41 FINAL:
9.46942
9.46942
linear_solve
1
sinusoid
1
4
240
50
3.806815
Solve for x: 3.806814834742186x + 5 = 41 FINAL:
9.456725
9.456725
linear_solve
1
sinusoid
1
4
240
51
3.841329
Solve for x: 3.8413293319417527x + 5 = 41 FINAL:
9.371756
9.371756
linear_solve
1
sinusoid
1
4
240
52
3.9
Solve for x: 3.9x + 5 = 41 FINAL:
9.230769
9.230769
linear_solve
1
sinusoid
1
4
240
53
3.973895
Solve for x: 3.9738947615559894x + 5 = 41 FINAL:
9.059123
9.059123
linear_solve
1
sinusoid
1
4
240
54
4.051764
Solve for x: 4.051763809020503x + 5 = 41 FINAL:
8.885019
8.885019
linear_solve
1
sinusoid
1
4
240
55
4.121752
Solve for x: 4.121752285801744x + 5 = 41 FINAL:
8.734149
8.734149
linear_solve
1
sinusoid
1
4
240
56
4.173205
Solve for x: 4.173205080756888x + 5 = 41 FINAL:
8.626463
8.626463
linear_solve
1
sinusoid
1
4
240
57
4.198289
Solve for x: 4.198288972274762x + 5 = 41 FINAL:
8.574922
8.574922
linear_solve
1
sinusoid
1
4
240
58
4.193185
Solve for x: 4.193185165257813x + 5 = 41 FINAL:
8.585359
8.585359
linear_solve
1
sinusoid
1
4
240
59
4.158671
Solve for x: 4.158670668058248x + 5 = 41 FINAL:
8.656612
8.656612
linear_solve
1
sinusoid
1
4
240
60
4.1
Solve for x: 4.1000000000000005x + 5 = 41 FINAL:
8.780488
8.780488
linear_solve
1
sinusoid
1
4
240
61
4.026105
Solve for x: 4.026105238444011x + 5 = 41 FINAL:
8.941644
8.941644
linear_solve
1
sinusoid
1
4
240
62
3.948236
Solve for x: 3.9482361909794963x + 5 = 41 FINAL:
9.117996
9.117996
linear_solve
1
sinusoid
1
4
240
63
3.878248
Solve for x: 3.878247714198256x + 5 = 41 FINAL:
9.282543
9.282543
linear_solve
1
sinusoid
1
8
240
0
3.826795
Solve for x: 3.8267949192431123x + 5 = 41 FINAL:
9.40735
9.40735
linear_solve
1
sinusoid
1
8
240
1
3.806815
Solve for x: 3.806814834742186x + 5 = 41 FINAL:
9.456725
9.456725
linear_solve
1
sinusoid
1
8
240
2
3.9
Solve for x: 3.9x + 5 = 41 FINAL:
9.230769
9.230769
linear_solve
1
sinusoid
1
8
240
3
4.051764
Solve for x: 4.051763809020504x + 5 = 41 FINAL:
8.885019
8.885019
linear_solve
1
sinusoid
1
8
240
4
4.173205
Solve for x: 4.173205080756888x + 5 = 41 FINAL:
8.626463
8.626463
linear_solve
1
sinusoid
1
8
240
5
4.193185
Solve for x: 4.193185165257813x + 5 = 41 FINAL:
8.585359
8.585359
linear_solve
1
sinusoid
1
8
240
6
4.1
Solve for x: 4.1x + 5 = 41 FINAL:
8.780488
8.780488
linear_solve
1
sinusoid
1
8
240
7
3.948236
Solve for x: 3.948236190979496x + 5 = 41 FINAL:
9.117996
9.117996
linear_solve
1
sinusoid
1
8
240
8
3.826795
Solve for x: 3.8267949192431123x + 5 = 41 FINAL:
9.40735
9.40735
linear_solve
1
sinusoid
1
8
240
9
3.806815
Solve for x: 3.806814834742186x + 5 = 41 FINAL:
9.456725
9.456725
linear_solve
1
sinusoid
1
8
240
10
3.9
Solve for x: 3.9x + 5 = 41 FINAL:
9.230769
9.230769
linear_solve
1
sinusoid
1
8
240
11
4.051764
Solve for x: 4.051763809020503x + 5 = 41 FINAL:
8.885019
8.885019
linear_solve
1
sinusoid
1
8
240
12
4.173205
Solve for x: 4.173205080756888x + 5 = 41 FINAL:
8.626463
8.626463
linear_solve
1
sinusoid
1
8
240
13
4.193185
Solve for x: 4.193185165257813x + 5 = 41 FINAL:
8.585359
8.585359
linear_solve
1
sinusoid
1
8
240
14
4.1
Solve for x: 4.1x + 5 = 41 FINAL:
8.780488
8.780488
linear_solve
1
sinusoid
1
8
240
15
3.948236
Solve for x: 3.9482361909794963x + 5 = 41 FINAL:
9.117996
9.117996
linear_solve
1
sinusoid
1
8
240
16
3.826795
Solve for x: 3.8267949192431123x + 5 = 41 FINAL:
9.40735
9.40735
linear_solve
1
sinusoid
1
8
240
17
3.806815
Solve for x: 3.806814834742186x + 5 = 41 FINAL:
9.456725
9.456725
linear_solve
1
sinusoid
1
8
240
18
3.9
Solve for x: 3.9x + 5 = 41 FINAL:
9.230769
9.230769
linear_solve
1
sinusoid
1
8
240
19
4.051764
Solve for x: 4.051763809020503x + 5 = 41 FINAL:
8.885019
8.885019
linear_solve
1
sinusoid
1
8
240
20
4.173205
Solve for x: 4.173205080756888x + 5 = 41 FINAL:
8.626463
8.626463
linear_solve
1
sinusoid
1
8
240
21
4.193185
Solve for x: 4.193185165257813x + 5 = 41 FINAL:
8.585359
8.585359
linear_solve
1
sinusoid
1
8
240
22
4.1
Solve for x: 4.1000000000000005x + 5 = 41 FINAL:
8.780488
8.780488
linear_solve
1
sinusoid
1
8
240
23
3.948236
Solve for x: 3.9482361909794963x + 5 = 41 FINAL:
9.117996
9.117996
linear_solve
1
sinusoid
1
8
240
24
3.826795
Solve for x: 3.8267949192431123x + 5 = 41 FINAL:
9.40735
9.40735
linear_solve
1
sinusoid
1
8
240
25
3.806815
Solve for x: 3.806814834742186x + 5 = 41 FINAL:
9.456725
9.456725
linear_solve
1
sinusoid
1
8
240
26
3.9
Solve for x: 3.9x + 5 = 41 FINAL:
9.230769
9.230769
linear_solve
1
sinusoid
1
8
240
27
4.051764
Solve for x: 4.051763809020503x + 5 = 41 FINAL:
8.885019
8.885019