Datasets:
ai-metrology-lab
/
MathBode-SimilarTriangles

Dataset card Data Studio Files
xet
Community
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
2
120
16
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
2
120
17
2.462408
Two triangles are similar with ratio 2.462408009626051:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.548896
29.548896
similar_triangles
0
sinusoid
0.5
2
120
18
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
2
120
19
2.477886
Two triangles are similar with ratio 2.47788556548905:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.734627
29.734627
similar_triangles
0
sinusoid
0.5
2
120
20
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
2
120
21
2.49673
Two triangles are similar with ratio 2.496729843538493:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.960758
29.960758
similar_triangles
0
sinusoid
0.5
2
120
22
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
2
120
23
2.516072
Two triangles are similar with ratio 2.516071973265158:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.192864
30.192864
similar_triangles
0
sinusoid
0.5
2
120
24
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
2
120
25
2.532967
Two triangles are similar with ratio 2.5329672907550034:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.395607
30.395607
similar_triangles
0
sinusoid
0.5
2
120
26
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
2
120
27
2.544844
Two triangles are similar with ratio 2.5448436370766343:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.538124
30.538124
similar_triangles
0
sinusoid
0.5
2
120
28
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
2
120
29
2.549893
Two triangles are similar with ratio 2.54989294616193:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.598715
30.598715
similar_triangles
0
sinusoid
0.5
2
120
30
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
2
120
31
2.547347
Two triangles are similar with ratio 2.547346506474755:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.568158
30.568158
similar_triangles
0
sinusoid
0.5
2
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
2
120
33
2.537592
Two triangles are similar with ratio 2.537591990373949:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.451104
30.451104
similar_triangles
0
sinusoid
0.5
2
120
34
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
2
120
35
2.522114
Two triangles are similar with ratio 2.52211443451095:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.265373
30.265373
similar_triangles
0
sinusoid
0.5
2
120
36
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
2
120
37
2.50327
Two triangles are similar with ratio 2.5032701564615074:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.039242
30.039242
similar_triangles
0
sinusoid
0.5
2
120
38
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
2
120
39
2.483928
Two triangles are similar with ratio 2.483928026734842:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.807136
29.807136
similar_triangles
0
sinusoid
0.5
2
120
40
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
2
120
41
2.467033
Two triangles are similar with ratio 2.4670327092449966:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.604393
29.604393
similar_triangles
0
sinusoid
0.5
2
120
42
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
2
120
43
2.455156
Two triangles are similar with ratio 2.4551563629233657:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.461876
29.461876
similar_triangles
0
sinusoid
0.5
2
120
44
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
2
120
45
2.450107
Two triangles are similar with ratio 2.45010705383807:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.401285
29.401285
similar_triangles
0
sinusoid
0.5
2
120
46
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
2
120
47
2.452653
Two triangles are similar with ratio 2.452653493525245:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.431842
29.431842
similar_triangles
0
sinusoid
0.5
2
120
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
2
120
49
2.462408
Two triangles are similar with ratio 2.462408009626051:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.548896
29.548896
similar_triangles
0
sinusoid
0.5
2
120
50
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
2
120
51
2.477886
Two triangles are similar with ratio 2.47788556548905:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.734627
29.734627
similar_triangles
0
sinusoid
0.5
2
120
52
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
2
120
53
2.49673
Two triangles are similar with ratio 2.4967298435384926:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.960758
29.960758
similar_triangles
0
sinusoid
0.5
2
120
54
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
2
120
55
2.516072
Two triangles are similar with ratio 2.516071973265158:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.192864
30.192864
similar_triangles
0
sinusoid
0.5
2
120
56
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
2
120
57
2.532967
Two triangles are similar with ratio 2.5329672907550034:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.395607
30.395607
similar_triangles
0
sinusoid
0.5
2
120
58
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
2
120
59
2.544844
Two triangles are similar with ratio 2.5448436370766343:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.538124
30.538124
similar_triangles
0
sinusoid
0.5
2
120
60
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
2
120
61
2.549893
Two triangles are similar with ratio 2.54989294616193:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.598715
30.598715
similar_triangles
0
sinusoid
0.5
2
120
62
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
2
120
63
2.547347
Two triangles are similar with ratio 2.547346506474755:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.568158
30.568158
similar_triangles
0
sinusoid
0.5
4
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
4
120
1
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
120
2
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
4
120
3
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
120
4
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
5
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
6
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
7
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
8
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
9
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
10
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
11
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
12
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
13
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
14
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
15
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
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
4
120
17
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
120
18
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
4
120
19
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
120
20
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
21
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
22
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
23
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
24
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
25
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
26
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
4
120
27
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
28
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
29
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
30
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
31
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
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
4
120
33
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
120
34
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
4
120
35
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
120
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
120
37
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
38
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
39
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
40
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
120
41
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
42
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
43
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
44
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
45
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
46
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
47
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
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
4
120
49
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
120
50
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
120
51
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