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
240
32
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
4
240
33
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
240
34
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
240
35
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
240
36
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
240
37
2.493474
Two triangles are similar with ratio 2.4934736903889974:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.921684
29.921684
similar_triangles
0
sinusoid
0.5
4
240
38
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
4
240
39
2.530438
Two triangles are similar with ratio 2.530438071450436:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.365257
30.365257
similar_triangles
0
sinusoid
0.5
4
240
40
2.543301
Two triangles are similar with ratio 2.5433012701892217:1. 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
4
240
41
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
4
240
42
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
240
43
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
240
44
2.525
Two triangles are similar with ratio 2.5250000000000004:1. 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
240
45
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
240
46
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
240
47
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
240
48
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
4
240
49
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
240
50
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
240
51
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
240
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
240
53
2.493474
Two triangles are similar with ratio 2.4934736903889974:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.921684
29.921684
similar_triangles
0
sinusoid
0.5
4
240
54
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
4
240
55
2.530438
Two triangles are similar with ratio 2.530438071450436:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.365257
30.365257
similar_triangles
0
sinusoid
0.5
4
240
56
2.543301
Two triangles are similar with ratio 2.5433012701892217:1. 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
4
240
57
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
4
240
58
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
240
59
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
240
60
2.525
Two triangles are similar with ratio 2.5250000000000004:1. 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
240
61
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
240
62
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
240
63
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
8
240
0
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
240
1
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
240
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
240
3
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
240
4
2.543301
Two triangles are similar with ratio 2.5433012701892217:1. 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
240
5
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
240
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
240
7
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
240
8
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
240
9
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
240
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
240
11
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
240
12
2.543301
Two triangles are similar with ratio 2.5433012701892217:1. 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
240
13
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
240
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
240
15
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
240
16
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
240
17
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
240
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
240
19
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
240
20
2.543301
Two triangles are similar with ratio 2.5433012701892217:1. 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
240
21
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
240
22
2.525
Two triangles are similar with ratio 2.5250000000000004:1. 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
240
23
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
240
24
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
240
25
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
240
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
240
27
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
240
28
2.543301
Two triangles are similar with ratio 2.5433012701892217:1. 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
240
29
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
240
30
2.525
Two triangles are similar with ratio 2.5250000000000004:1. 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
240
31
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
240
32
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
240
33
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
240
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
240
35
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
240
36
2.543301
Two triangles are similar with ratio 2.5433012701892217:1. 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
240
37
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
240
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
240
39
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
240
40
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
240
41
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
240
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
240
43
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
240
44
2.543301
Two triangles are similar with ratio 2.5433012701892217:1. 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
240
45
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
240
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
240
47
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
240
48
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
240
49
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
240
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
240
51
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
240
52
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
240
53
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
240
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
240
55
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
240
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
8
240
57
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
240
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
240
59
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
240
60
2.543301
Two triangles are similar with ratio 2.5433012701892217:1. 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
240
61
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
240
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
240
63
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
16
240
0
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
240
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
240
2
2.543301
Two triangles are similar with ratio 2.5433012701892217:1. 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
240
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