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
2.25
2.75
prompt
stringlengths
157
173
ground_truth
float64
18
41.3
symbolic_baseline_answer
float64
18
41.3
similar_triangles
0
sinusoid
0.5
4
120
52
2.475
Two triangles are similar with ratio 2.475:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.7
29.7
similar_triangles
0
sinusoid
0.5
4
120
53
2.460332
Two triangles are similar with ratio 2.460332332985438:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.523988
29.523988
similar_triangles
0
sinusoid
0.5
4
120
54
2.451704
Two triangles are similar with ratio 2.4517037086855464:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.420445
29.420445
similar_triangles
0
sinusoid
0.5
4
120
55
2.450428
Two triangles are similar with ratio 2.4504277569313095:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.405133
29.405133
similar_triangles
0
sinusoid
0.5
4
120
56
2.456699
Two triangles are similar with ratio 2.456698729810778:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.480385
29.480385
similar_triangles
0
sinusoid
0.5
4
120
57
2.469562
Two triangles are similar with ratio 2.469561928549564:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.634743
29.634743
similar_triangles
0
sinusoid
0.5
4
120
58
2.487059
Two triangles are similar with ratio 2.487059047744874:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.844709
29.844709
similar_triangles
0
sinusoid
0.5
4
120
59
2.506526
Two triangles are similar with ratio 2.5065263096110026:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.078316
30.078316
similar_triangles
0
sinusoid
0.5
4
120
60
2.525
Two triangles are similar with ratio 2.525:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.3
30.3
similar_triangles
0
sinusoid
0.5
4
120
61
2.539668
Two triangles are similar with ratio 2.539667667014562:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.476012
30.476012
similar_triangles
0
sinusoid
0.5
4
120
62
2.548296
Two triangles are similar with ratio 2.5482962913144536:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.579555
30.579555
similar_triangles
0
sinusoid
0.5
4
120
63
2.549572
Two triangles are similar with ratio 2.5495722430686905:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.594867
30.594867
similar_triangles
0
sinusoid
0.5
8
120
0
2.543301
Two triangles are similar with ratio 2.543301270189222:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.519615
30.519615
similar_triangles
0
sinusoid
0.5
8
120
1
2.512941
Two triangles are similar with ratio 2.5129409522551263:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.155291
30.155291
similar_triangles
0
sinusoid
0.5
8
120
2
2.475
Two triangles are similar with ratio 2.475:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.7
29.7
similar_triangles
0
sinusoid
0.5
8
120
3
2.451704
Two triangles are similar with ratio 2.4517037086855464:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.420445
29.420445
similar_triangles
0
sinusoid
0.5
8
120
4
2.456699
Two triangles are similar with ratio 2.456698729810778:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.480385
29.480385
similar_triangles
0
sinusoid
0.5
8
120
5
2.487059
Two triangles are similar with ratio 2.487059047744874:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.844709
29.844709
similar_triangles
0
sinusoid
0.5
8
120
6
2.525
Two triangles are similar with ratio 2.525:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.3
30.3
similar_triangles
0
sinusoid
0.5
8
120
7
2.548296
Two triangles are similar with ratio 2.5482962913144536:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.579555
30.579555
similar_triangles
0
sinusoid
0.5
8
120
8
2.543301
Two triangles are similar with ratio 2.543301270189222:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.519615
30.519615
similar_triangles
0
sinusoid
0.5
8
120
9
2.512941
Two triangles are similar with ratio 2.5129409522551263:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.155291
30.155291
similar_triangles
0
sinusoid
0.5
8
120
10
2.475
Two triangles are similar with ratio 2.475:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.7
29.7
similar_triangles
0
sinusoid
0.5
8
120
11
2.451704
Two triangles are similar with ratio 2.4517037086855464:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.420445
29.420445
similar_triangles
0
sinusoid
0.5
8
120
12
2.456699
Two triangles are similar with ratio 2.456698729810778:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.480385
29.480385
similar_triangles
0
sinusoid
0.5
8
120
13
2.487059
Two triangles are similar with ratio 2.4870590477448737:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.844709
29.844709
similar_triangles
0
sinusoid
0.5
8
120
14
2.525
Two triangles are similar with ratio 2.525:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.3
30.3
similar_triangles
0
sinusoid
0.5
8
120
15
2.548296
Two triangles are similar with ratio 2.5482962913144536:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.579555
30.579555
similar_triangles
0
sinusoid
0.5
8
120
16
2.543301
Two triangles are similar with ratio 2.543301270189222:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.519615
30.519615
similar_triangles
0
sinusoid
0.5
8
120
17
2.512941
Two triangles are similar with ratio 2.5129409522551263:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.155291
30.155291
similar_triangles
0
sinusoid
0.5
8
120
18
2.475
Two triangles are similar with ratio 2.475:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.7
29.7
similar_triangles
0
sinusoid
0.5
8
120
19
2.451704
Two triangles are similar with ratio 2.4517037086855464:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.420445
29.420445
similar_triangles
0
sinusoid
0.5
8
120
20
2.456699
Two triangles are similar with ratio 2.4566987298107783:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.480385
29.480385
similar_triangles
0
sinusoid
0.5
8
120
21
2.487059
Two triangles are similar with ratio 2.487059047744874:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.844709
29.844709
similar_triangles
0
sinusoid
0.5
8
120
22
2.525
Two triangles are similar with ratio 2.525:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.3
30.3
similar_triangles
0
sinusoid
0.5
8
120
23
2.548296
Two triangles are similar with ratio 2.5482962913144536:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.579555
30.579555
similar_triangles
0
sinusoid
0.5
8
120
24
2.543301
Two triangles are similar with ratio 2.543301270189222:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.519615
30.519615
similar_triangles
0
sinusoid
0.5
8
120
25
2.512941
Two triangles are similar with ratio 2.512940952255126:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.155291
30.155291
similar_triangles
0
sinusoid
0.5
8
120
26
2.475
Two triangles are similar with ratio 2.475:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.7
29.7
similar_triangles
0
sinusoid
0.5
8
120
27
2.451704
Two triangles are similar with ratio 2.4517037086855464:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.420445
29.420445
similar_triangles
0
sinusoid
0.5
8
120
28
2.456699
Two triangles are similar with ratio 2.456698729810778:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.480385
29.480385
similar_triangles
0
sinusoid
0.5
8
120
29
2.487059
Two triangles are similar with ratio 2.487059047744874:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.844709
29.844709
similar_triangles
0
sinusoid
0.5
8
120
30
2.525
Two triangles are similar with ratio 2.525:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.3
30.3
similar_triangles
0
sinusoid
0.5
8
120
31
2.548296
Two triangles are similar with ratio 2.5482962913144536:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.579555
30.579555
similar_triangles
0
sinusoid
0.5
8
120
32
2.543301
Two triangles are similar with ratio 2.543301270189222:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.519615
30.519615
similar_triangles
0
sinusoid
0.5
8
120
33
2.512941
Two triangles are similar with ratio 2.512940952255126:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.155291
30.155291
similar_triangles
0
sinusoid
0.5
8
120
34
2.475
Two triangles are similar with ratio 2.475:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.7
29.7
similar_triangles
0
sinusoid
0.5
8
120
35
2.451704
Two triangles are similar with ratio 2.4517037086855464:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.420445
29.420445
similar_triangles
0
sinusoid
0.5
8
120
36
2.456699
Two triangles are similar with ratio 2.456698729810778:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.480385
29.480385
similar_triangles
0
sinusoid
0.5
8
120
37
2.487059
Two triangles are similar with ratio 2.487059047744874:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.844709
29.844709
similar_triangles
0
sinusoid
0.5
8
120
38
2.525
Two triangles are similar with ratio 2.525:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.3
30.3
similar_triangles
0
sinusoid
0.5
8
120
39
2.548296
Two triangles are similar with ratio 2.5482962913144536:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.579555
30.579555
similar_triangles
0
sinusoid
0.5
8
120
40
2.543301
Two triangles are similar with ratio 2.543301270189222:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.519615
30.519615
similar_triangles
0
sinusoid
0.5
8
120
41
2.512941
Two triangles are similar with ratio 2.5129409522551263:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.155291
30.155291
similar_triangles
0
sinusoid
0.5
8
120
42
2.475
Two triangles are similar with ratio 2.475:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.7
29.7
similar_triangles
0
sinusoid
0.5
8
120
43
2.451704
Two triangles are similar with ratio 2.4517037086855464:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.420445
29.420445
similar_triangles
0
sinusoid
0.5
8
120
44
2.456699
Two triangles are similar with ratio 2.456698729810778:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.480385
29.480385
similar_triangles
0
sinusoid
0.5
8
120
45
2.487059
Two triangles are similar with ratio 2.4870590477448737:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.844709
29.844709
similar_triangles
0
sinusoid
0.5
8
120
46
2.525
Two triangles are similar with ratio 2.525:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.3
30.3
similar_triangles
0
sinusoid
0.5
8
120
47
2.548296
Two triangles are similar with ratio 2.5482962913144536:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.579555
30.579555
similar_triangles
0
sinusoid
0.5
8
120
48
2.543301
Two triangles are similar with ratio 2.543301270189222:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.519615
30.519615
similar_triangles
0
sinusoid
0.5
8
120
49
2.512941
Two triangles are similar with ratio 2.5129409522551263:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.155291
30.155291
similar_triangles
0
sinusoid
0.5
8
120
50
2.475
Two triangles are similar with ratio 2.475:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.7
29.7
similar_triangles
0
sinusoid
0.5
8
120
51
2.451704
Two triangles are similar with ratio 2.4517037086855464:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.420445
29.420445
similar_triangles
0
sinusoid
0.5
8
120
52
2.456699
Two triangles are similar with ratio 2.456698729810778:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.480385
29.480385
similar_triangles
0
sinusoid
0.5
8
120
53
2.487059
Two triangles are similar with ratio 2.4870590477448737:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.844709
29.844709
similar_triangles
0
sinusoid
0.5
8
120
54
2.525
Two triangles are similar with ratio 2.525:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.3
30.3
similar_triangles
0
sinusoid
0.5
8
120
55
2.548296
Two triangles are similar with ratio 2.5482962913144536:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.579555
30.579555
similar_triangles
0
sinusoid
0.5
8
120
56
2.543301
Two triangles are similar with ratio 2.543301270189222:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.519615
30.519615
similar_triangles
0
sinusoid
0.5
8
120
57
2.512941
Two triangles are similar with ratio 2.5129409522551263:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.155291
30.155291
similar_triangles
0
sinusoid
0.5
8
120
58
2.475
Two triangles are similar with ratio 2.475:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.7
29.7
similar_triangles
0
sinusoid
0.5
8
120
59
2.451704
Two triangles are similar with ratio 2.4517037086855464:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.420445
29.420445
similar_triangles
0
sinusoid
0.5
8
120
60
2.456699
Two triangles are similar with ratio 2.456698729810778:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.480385
29.480385
similar_triangles
0
sinusoid
0.5
8
120
61
2.487059
Two triangles are similar with ratio 2.4870590477448737:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.844709
29.844709
similar_triangles
0
sinusoid
0.5
8
120
62
2.525
Two triangles are similar with ratio 2.525:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.3
30.3
similar_triangles
0
sinusoid
0.5
8
120
63
2.548296
Two triangles are similar with ratio 2.5482962913144536:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.579555
30.579555
similar_triangles
0
sinusoid
0.5
16
120
0
2.543301
Two triangles are similar with ratio 2.543301270189222:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.519615
30.519615
similar_triangles
0
sinusoid
0.5
16
120
1
2.475
Two triangles are similar with ratio 2.475:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.7
29.7
similar_triangles
0
sinusoid
0.5
16
120
2
2.456699
Two triangles are similar with ratio 2.456698729810778:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.480385
29.480385
similar_triangles
0
sinusoid
0.5
16
120
3
2.525
Two triangles are similar with ratio 2.525:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.3
30.3
similar_triangles
0
sinusoid
0.5
16
120
4
2.543301
Two triangles are similar with ratio 2.543301270189222:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.519615
30.519615
similar_triangles
0
sinusoid
0.5
16
120
5
2.475
Two triangles are similar with ratio 2.475:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.7
29.7
similar_triangles
0
sinusoid
0.5
16
120
6
2.456699
Two triangles are similar with ratio 2.456698729810778:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.480385
29.480385
similar_triangles
0
sinusoid
0.5
16
120
7
2.525
Two triangles are similar with ratio 2.525:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.3
30.3
similar_triangles
0
sinusoid
0.5
16
120
8
2.543301
Two triangles are similar with ratio 2.543301270189222:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.519615
30.519615
similar_triangles
0
sinusoid
0.5
16
120
9
2.475
Two triangles are similar with ratio 2.475:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.7
29.7
similar_triangles
0
sinusoid
0.5
16
120
10
2.456699
Two triangles are similar with ratio 2.4566987298107783:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.480385
29.480385
similar_triangles
0
sinusoid
0.5
16
120
11
2.525
Two triangles are similar with ratio 2.525:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.3
30.3
similar_triangles
0
sinusoid
0.5
16
120
12
2.543301
Two triangles are similar with ratio 2.543301270189222:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.519615
30.519615
similar_triangles
0
sinusoid
0.5
16
120
13
2.475
Two triangles are similar with ratio 2.475:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.7
29.7
similar_triangles
0
sinusoid
0.5
16
120
14
2.456699
Two triangles are similar with ratio 2.456698729810778:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.480385
29.480385
similar_triangles
0
sinusoid
0.5
16
120
15
2.525
Two triangles are similar with ratio 2.525:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.3
30.3
similar_triangles
0
sinusoid
0.5
16
120
16
2.543301
Two triangles are similar with ratio 2.543301270189222:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.519615
30.519615
similar_triangles
0
sinusoid
0.5
16
120
17
2.475
Two triangles are similar with ratio 2.475:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.7
29.7
similar_triangles
0
sinusoid
0.5
16
120
18
2.456699
Two triangles are similar with ratio 2.456698729810778:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.480385
29.480385
similar_triangles
0
sinusoid
0.5
16
120
19
2.525
Two triangles are similar with ratio 2.525:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.3
30.3
similar_triangles
0
sinusoid
0.5
16
120
20
2.543301
Two triangles are similar with ratio 2.543301270189222:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.519615
30.519615
similar_triangles
0
sinusoid
0.5
16
120
21
2.475
Two triangles are similar with ratio 2.475:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.7
29.7
similar_triangles
0
sinusoid
0.5
16
120
22
2.456699
Two triangles are similar with ratio 2.456698729810778:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.480385
29.480385
similar_triangles
0
sinusoid
0.5
16
120
23
2.525
Two triangles are similar with ratio 2.525:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.3
30.3