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
4
120
12
4.1
Solve for x: 4.1x + 5 = 41 FINAL:
8.780488
8.780488
linear_solve
1
sinusoid
1
4
120
13
4.158671
Solve for x: 4.158670668058247x + 5 = 41 FINAL:
8.656612
8.656612
linear_solve
1
sinusoid
1
4
120
14
4.193185
Solve for x: 4.193185165257813x + 5 = 41 FINAL:
8.585359
8.585359
linear_solve
1
sinusoid
1
4
120
15
4.198289
Solve for x: 4.198288972274762x + 5 = 41 FINAL:
8.574922
8.574922
linear_solve
1
sinusoid
1
4
120
16
4.173205
Solve for x: 4.173205080756888x + 5 = 41 FINAL:
8.626463
8.626463
linear_solve
1
sinusoid
1
4
120
17
4.121752
Solve for x: 4.121752285801744x + 5 = 41 FINAL:
8.734149
8.734149
linear_solve
1
sinusoid
1
4
120
18
4.051764
Solve for x: 4.051763809020504x + 5 = 41 FINAL:
8.885019
8.885019
linear_solve
1
sinusoid
1
4
120
19
3.973895
Solve for x: 3.97389476155599x + 5 = 41 FINAL:
9.059123
9.059123
linear_solve
1
sinusoid
1
4
120
20
3.9
Solve for x: 3.9000000000000004x + 5 = 41 FINAL:
9.230769
9.230769
linear_solve
1
sinusoid
1
4
120
21
3.841329
Solve for x: 3.841329331941753x + 5 = 41 FINAL:
9.371756
9.371756
linear_solve
1
sinusoid
1
4
120
22
3.806815
Solve for x: 3.8068148347421866x + 5 = 41 FINAL:
9.456725
9.456725
linear_solve
1
sinusoid
1
4
120
23
3.801711
Solve for x: 3.8017110277252377x + 5 = 41 FINAL:
9.46942
9.46942
linear_solve
1
sinusoid
1
4
120
24
3.826795
Solve for x: 3.8267949192431123x + 5 = 41 FINAL:
9.40735
9.40735
linear_solve
1
sinusoid
1
4
120
25
3.878248
Solve for x: 3.8782477141982556x + 5 = 41 FINAL:
9.282543
9.282543
linear_solve
1
sinusoid
1
4
120
26
3.948236
Solve for x: 3.948236190979496x + 5 = 41 FINAL:
9.117996
9.117996
linear_solve
1
sinusoid
1
4
120
27
4.026105
Solve for x: 4.02610523844401x + 5 = 41 FINAL:
8.941644
8.941644
linear_solve
1
sinusoid
1
4
120
28
4.1
Solve for x: 4.1x + 5 = 41 FINAL:
8.780488
8.780488
linear_solve
1
sinusoid
1
4
120
29
4.158671
Solve for x: 4.158670668058247x + 5 = 41 FINAL:
8.656612
8.656612
linear_solve
1
sinusoid
1
4
120
30
4.193185
Solve for x: 4.193185165257813x + 5 = 41 FINAL:
8.585359
8.585359
linear_solve
1
sinusoid
1
4
120
31
4.198289
Solve for x: 4.198288972274762x + 5 = 41 FINAL:
8.574922
8.574922
linear_solve
1
sinusoid
1
4
120
32
4.173205
Solve for x: 4.173205080756888x + 5 = 41 FINAL:
8.626463
8.626463
linear_solve
1
sinusoid
1
4
120
33
4.121752
Solve for x: 4.121752285801744x + 5 = 41 FINAL:
8.734149
8.734149
linear_solve
1
sinusoid
1
4
120
34
4.051764
Solve for x: 4.051763809020504x + 5 = 41 FINAL:
8.885019
8.885019
linear_solve
1
sinusoid
1
4
120
35
3.973895
Solve for x: 3.97389476155599x + 5 = 41 FINAL:
9.059123
9.059123
linear_solve
1
sinusoid
1
4
120
36
3.9
Solve for x: 3.9000000000000004x + 5 = 41 FINAL:
9.230769
9.230769
linear_solve
1
sinusoid
1
4
120
37
3.841329
Solve for x: 3.8413293319417527x + 5 = 41 FINAL:
9.371756
9.371756
linear_solve
1
sinusoid
1
4
120
38
3.806815
Solve for x: 3.806814834742186x + 5 = 41 FINAL:
9.456725
9.456725
linear_solve
1
sinusoid
1
4
120
39
3.801711
Solve for x: 3.8017110277252377x + 5 = 41 FINAL:
9.46942
9.46942
linear_solve
1
sinusoid
1
4
120
40
3.826795
Solve for x: 3.8267949192431123x + 5 = 41 FINAL:
9.40735
9.40735
linear_solve
1
sinusoid
1
4
120
41
3.878248
Solve for x: 3.8782477141982556x + 5 = 41 FINAL:
9.282543
9.282543
linear_solve
1
sinusoid
1
4
120
42
3.948236
Solve for x: 3.9482361909794963x + 5 = 41 FINAL:
9.117996
9.117996
linear_solve
1
sinusoid
1
4
120
43
4.026105
Solve for x: 4.026105238444011x + 5 = 41 FINAL:
8.941644
8.941644
linear_solve
1
sinusoid
1
4
120
44
4.1
Solve for x: 4.1x + 5 = 41 FINAL:
8.780488
8.780488
linear_solve
1
sinusoid
1
4
120
45
4.158671
Solve for x: 4.158670668058247x + 5 = 41 FINAL:
8.656612
8.656612
linear_solve
1
sinusoid
1
4
120
46
4.193185
Solve for x: 4.193185165257813x + 5 = 41 FINAL:
8.585359
8.585359
linear_solve
1
sinusoid
1
4
120
47
4.198289
Solve for x: 4.198288972274762x + 5 = 41 FINAL:
8.574922
8.574922
linear_solve
1
sinusoid
1
4
120
48
4.173205
Solve for x: 4.173205080756888x + 5 = 41 FINAL:
8.626463
8.626463
linear_solve
1
sinusoid
1
4
120
49
4.121752
Solve for x: 4.121752285801744x + 5 = 41 FINAL:
8.734149
8.734149
linear_solve
1
sinusoid
1
4
120
50
4.051764
Solve for x: 4.051763809020504x + 5 = 41 FINAL:
8.885019
8.885019
linear_solve
1
sinusoid
1
4
120
51
3.973895
Solve for x: 3.97389476155599x + 5 = 41 FINAL:
9.059123
9.059123
linear_solve
1
sinusoid
1
4
120
52
3.9
Solve for x: 3.8999999999999995x + 5 = 41 FINAL:
9.230769
9.230769
linear_solve
1
sinusoid
1
4
120
53
3.841329
Solve for x: 3.8413293319417527x + 5 = 41 FINAL:
9.371756
9.371756
linear_solve
1
sinusoid
1
4
120
54
3.806815
Solve for x: 3.806814834742186x + 5 = 41 FINAL:
9.456725
9.456725
linear_solve
1
sinusoid
1
4
120
55
3.801711
Solve for x: 3.801711027725238x + 5 = 41 FINAL:
9.46942
9.46942
linear_solve
1
sinusoid
1
4
120
56
3.826795
Solve for x: 3.8267949192431123x + 5 = 41 FINAL:
9.40735
9.40735
linear_solve
1
sinusoid
1
4
120
57
3.878248
Solve for x: 3.8782477141982556x + 5 = 41 FINAL:
9.282543
9.282543
linear_solve
1
sinusoid
1
4
120
58
3.948236
Solve for x: 3.948236190979496x + 5 = 41 FINAL:
9.117996
9.117996
linear_solve
1
sinusoid
1
4
120
59
4.026105
Solve for x: 4.026105238444011x + 5 = 41 FINAL:
8.941644
8.941644
linear_solve
1
sinusoid
1
4
120
60
4.1
Solve for x: 4.1x + 5 = 41 FINAL:
8.780488
8.780488
linear_solve
1
sinusoid
1
4
120
61
4.158671
Solve for x: 4.158670668058247x + 5 = 41 FINAL:
8.656612
8.656612
linear_solve
1
sinusoid
1
4
120
62
4.193185
Solve for x: 4.193185165257813x + 5 = 41 FINAL:
8.585359
8.585359
linear_solve
1
sinusoid
1
4
120
63
4.198289
Solve for x: 4.198288972274762x + 5 = 41 FINAL:
8.574922
8.574922
linear_solve
1
sinusoid
1
8
120
0
4.173205
Solve for x: 4.173205080756888x + 5 = 41 FINAL:
8.626463
8.626463
linear_solve
1
sinusoid
1
8
120
1
4.051764
Solve for x: 4.051763809020504x + 5 = 41 FINAL:
8.885019
8.885019
linear_solve
1
sinusoid
1
8
120
2
3.9
Solve for x: 3.9x + 5 = 41 FINAL:
9.230769
9.230769
linear_solve
1
sinusoid
1
8
120
3
3.806815
Solve for x: 3.806814834742186x + 5 = 41 FINAL:
9.456725
9.456725
linear_solve
1
sinusoid
1
8
120
4
3.826795
Solve for x: 3.8267949192431123x + 5 = 41 FINAL:
9.40735
9.40735
linear_solve
1
sinusoid
1
8
120
5
3.948236
Solve for x: 3.948236190979496x + 5 = 41 FINAL:
9.117996
9.117996
linear_solve
1
sinusoid
1
8
120
6
4.1
Solve for x: 4.1x + 5 = 41 FINAL:
8.780488
8.780488
linear_solve
1
sinusoid
1
8
120
7
4.193185
Solve for x: 4.193185165257813x + 5 = 41 FINAL:
8.585359
8.585359
linear_solve
1
sinusoid
1
8
120
8
4.173205
Solve for x: 4.173205080756888x + 5 = 41 FINAL:
8.626463
8.626463
linear_solve
1
sinusoid
1
8
120
9
4.051764
Solve for x: 4.051763809020504x + 5 = 41 FINAL:
8.885019
8.885019
linear_solve
1
sinusoid
1
8
120
10
3.9
Solve for x: 3.9000000000000004x + 5 = 41 FINAL:
9.230769
9.230769
linear_solve
1
sinusoid
1
8
120
11
3.806815
Solve for x: 3.8068148347421866x + 5 = 41 FINAL:
9.456725
9.456725
linear_solve
1
sinusoid
1
8
120
12
3.826795
Solve for x: 3.8267949192431123x + 5 = 41 FINAL:
9.40735
9.40735
linear_solve
1
sinusoid
1
8
120
13
3.948236
Solve for x: 3.948236190979496x + 5 = 41 FINAL:
9.117996
9.117996
linear_solve
1
sinusoid
1
8
120
14
4.1
Solve for x: 4.1x + 5 = 41 FINAL:
8.780488
8.780488
linear_solve
1
sinusoid
1
8
120
15
4.193185
Solve for x: 4.193185165257813x + 5 = 41 FINAL:
8.585359
8.585359
linear_solve
1
sinusoid
1
8
120
16
4.173205
Solve for x: 4.173205080756888x + 5 = 41 FINAL:
8.626463
8.626463
linear_solve
1
sinusoid
1
8
120
17
4.051764
Solve for x: 4.051763809020504x + 5 = 41 FINAL:
8.885019
8.885019
linear_solve
1
sinusoid
1
8
120
18
3.9
Solve for x: 3.9000000000000004x + 5 = 41 FINAL:
9.230769
9.230769
linear_solve
1
sinusoid
1
8
120
19
3.806815
Solve for x: 3.806814834742186x + 5 = 41 FINAL:
9.456725
9.456725
linear_solve
1
sinusoid
1
8
120
20
3.826795
Solve for x: 3.8267949192431123x + 5 = 41 FINAL:
9.40735
9.40735
linear_solve
1
sinusoid
1
8
120
21
3.948236
Solve for x: 3.9482361909794963x + 5 = 41 FINAL:
9.117996
9.117996
linear_solve
1
sinusoid
1
8
120
22
4.1
Solve for x: 4.1x + 5 = 41 FINAL:
8.780488
8.780488
linear_solve
1
sinusoid
1
8
120
23
4.193185
Solve for x: 4.193185165257813x + 5 = 41 FINAL:
8.585359
8.585359
linear_solve
1
sinusoid
1
8
120
24
4.173205
Solve for x: 4.173205080756888x + 5 = 41 FINAL:
8.626463
8.626463
linear_solve
1
sinusoid
1
8
120
25
4.051764
Solve for x: 4.051763809020504x + 5 = 41 FINAL:
8.885019
8.885019
linear_solve
1
sinusoid
1
8
120
26
3.9
Solve for x: 3.8999999999999995x + 5 = 41 FINAL:
9.230769
9.230769
linear_solve
1
sinusoid
1
8
120
27
3.806815
Solve for x: 3.806814834742186x + 5 = 41 FINAL:
9.456725
9.456725
linear_solve
1
sinusoid
1
8
120
28
3.826795
Solve for x: 3.8267949192431123x + 5 = 41 FINAL:
9.40735
9.40735
linear_solve
1
sinusoid
1
8
120
29
3.948236
Solve for x: 3.948236190979496x + 5 = 41 FINAL:
9.117996
9.117996
linear_solve
1
sinusoid
1
8
120
30
4.1
Solve for x: 4.1x + 5 = 41 FINAL:
8.780488
8.780488
linear_solve
1
sinusoid
1
8
120
31
4.193185
Solve for x: 4.193185165257813x + 5 = 41 FINAL:
8.585359
8.585359
linear_solve
1
sinusoid
1
8
120
32
4.173205
Solve for x: 4.173205080756888x + 5 = 41 FINAL:
8.626463
8.626463
linear_solve
1
sinusoid
1
8
120
33
4.051764
Solve for x: 4.051763809020504x + 5 = 41 FINAL:
8.885019
8.885019
linear_solve
1
sinusoid
1
8
120
34
3.9
Solve for x: 3.8999999999999995x + 5 = 41 FINAL:
9.230769
9.230769
linear_solve
1
sinusoid
1
8
120
35
3.806815
Solve for x: 3.806814834742186x + 5 = 41 FINAL:
9.456725
9.456725
linear_solve
1
sinusoid
1
8
120
36
3.826795
Solve for x: 3.8267949192431123x + 5 = 41 FINAL:
9.40735
9.40735
linear_solve
1
sinusoid
1
8
120
37
3.948236
Solve for x: 3.948236190979496x + 5 = 41 FINAL:
9.117996
9.117996
linear_solve
1
sinusoid
1
8
120
38
4.1
Solve for x: 4.1x + 5 = 41 FINAL:
8.780488
8.780488
linear_solve
1
sinusoid
1
8
120
39
4.193185
Solve for x: 4.193185165257813x + 5 = 41 FINAL:
8.585359
8.585359
linear_solve
1
sinusoid
1
8
120
40
4.173205
Solve for x: 4.173205080756889x + 5 = 41 FINAL:
8.626463
8.626463
linear_solve
1
sinusoid
1
8
120
41
4.051764
Solve for x: 4.051763809020505x + 5 = 41 FINAL:
8.885019
8.885019
linear_solve
1
sinusoid
1
8
120
42
3.9
Solve for x: 3.9000000000000004x + 5 = 41 FINAL:
9.230769
9.230769
linear_solve
1
sinusoid
1
8
120
43
3.806815
Solve for x: 3.8068148347421866x + 5 = 41 FINAL:
9.456725
9.456725
linear_solve
1
sinusoid
1
8
120
44
3.826795
Solve for x: 3.8267949192431114x + 5 = 41 FINAL:
9.40735
9.40735
linear_solve
1
sinusoid
1
8
120
45
3.948236
Solve for x: 3.9482361909794954x + 5 = 41 FINAL:
9.117996
9.117996
linear_solve
1
sinusoid
1
8
120
46
4.1
Solve for x: 4.099999999999999x + 5 = 41 FINAL:
8.780488
8.780488
linear_solve
1
sinusoid
1
8
120
47
4.193185
Solve for x: 4.193185165257813x + 5 = 41 FINAL:
8.585359
8.585359