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
16
240
4
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
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
240
6
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
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
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
16
240
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
240
10
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
11
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
16
240
12
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
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
240
14
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
15
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
16
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
16
240
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
240
18
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
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
240
20
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
240
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
240
22
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
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
similar_triangles
0
sinusoid
0.5
16
240
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
16
240
25
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
26
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
240
27
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
240
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
16
240
29
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
30
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
31
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
240
32
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
240
33
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
34
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
240
35
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
240
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
16
240
37
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
38
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
39
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
240
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
16
240
41
2.475
Two triangles are similar with ratio 2.4749999999999996:1. 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
42
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
43
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
16
240
44
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
45
2.475
Two triangles are similar with ratio 2.4749999999999996:1. 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
46
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
47
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
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
16
240
49
2.475
Two triangles are similar with ratio 2.4749999999999996:1. 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
50
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
51
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
16
240
52
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
53
2.475
Two triangles are similar with ratio 2.4749999999999996:1. 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
54
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
55
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
240
56
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
57
2.475
Two triangles are similar with ratio 2.474999999999999:1. 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
58
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
59
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
16
240
60
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
61
2.475
Two triangles are similar with ratio 2.4749999999999996:1. 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
62
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
63
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
1
sinusoid
0.5
1
0
0
2.5
Two triangles are similar with ratio 2.5:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
20
20
similar_triangles
1
sinusoid
0.5
1
0
1
2.504901
Two triangles are similar with ratio 2.504900857016478:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
20.039207
20.039207
similar_triangles
1
sinusoid
0.5
1
0
2
2.509755
Two triangles are similar with ratio 2.5097545161008066:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
20.078036
20.078036
similar_triangles
1
sinusoid
0.5
1
0
3
2.514514
Two triangles are similar with ratio 2.514514233862723:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
20.116114
20.116114
similar_triangles
1
sinusoid
0.5
1
0
4
2.519134
Two triangles are similar with ratio 2.5191341716182545:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
20.153073
20.153073
similar_triangles
1
sinusoid
0.5
1
0
5
2.52357
Two triangles are similar with ratio 2.5235698368413:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
20.188559
20.188559
similar_triangles
1
sinusoid
0.5
1
0
6
2.527779
Two triangles are similar with ratio 2.52777851165098:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
20.222228
20.222228
similar_triangles
1
sinusoid
0.5
1
0
7
2.53172
Two triangles are similar with ratio 2.531719664208182:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
20.253757
20.253757
similar_triangles
1
sinusoid
0.5
1
0
8
2.535355
Two triangles are similar with ratio 2.5353553390593273:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
20.282843
20.282843
similar_triangles
1
sinusoid
0.5
1
0
9
2.538651
Two triangles are similar with ratio 2.538650522668137:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
20.309204
20.309204
similar_triangles
1
sinusoid
0.5
1
0
10
2.541573
Two triangles are similar with ratio 2.5415734806151273:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
20.332588
20.332588
similar_triangles
1
sinusoid
0.5
1
0
11
2.544096
Two triangles are similar with ratio 2.5440960632174177:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
20.352769
20.352769
similar_triangles
1
sinusoid
0.5
1
0
12
2.546194
Two triangles are similar with ratio 2.546193976625564:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
20.369552
20.369552
similar_triangles
1
sinusoid
0.5
1
0
13
2.547847
Two triangles are similar with ratio 2.5478470167866103:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
20.382776
20.382776
similar_triangles
1
sinusoid
0.5
1
0
14
2.549039
Two triangles are similar with ratio 2.5490392640201613:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
20.392314
20.392314
similar_triangles
1
sinusoid
0.5
1
0
15
2.549759
Two triangles are similar with ratio 2.54975923633361:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
20.398074
20.398074
similar_triangles
1
sinusoid
0.5
1
0
16
2.55
Two triangles are similar with ratio 2.55:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
20.4
20.4
similar_triangles
1
sinusoid
0.5
1
0
17
2.549759
Two triangles are similar with ratio 2.54975923633361:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
20.398074
20.398074
similar_triangles
1
sinusoid
0.5
1
0
18
2.549039
Two triangles are similar with ratio 2.5490392640201613:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
20.392314
20.392314
similar_triangles
1
sinusoid
0.5
1
0
19
2.547847
Two triangles are similar with ratio 2.5478470167866103:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
20.382776
20.382776
similar_triangles
1
sinusoid
0.5
1
0
20
2.546194
Two triangles are similar with ratio 2.546193976625564:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
20.369552
20.369552
similar_triangles
1
sinusoid
0.5
1
0
21
2.544096
Two triangles are similar with ratio 2.5440960632174177:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
20.352769
20.352769
similar_triangles
1
sinusoid
0.5
1
0
22
2.541573
Two triangles are similar with ratio 2.5415734806151273:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
20.332588
20.332588
similar_triangles
1
sinusoid
0.5
1
0
23
2.538651
Two triangles are similar with ratio 2.538650522668137:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
20.309204
20.309204
similar_triangles
1
sinusoid
0.5
1
0
24
2.535355
Two triangles are similar with ratio 2.5353553390593273:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
20.282843
20.282843
similar_triangles
1
sinusoid
0.5
1
0
25
2.53172
Two triangles are similar with ratio 2.531719664208182:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
20.253757
20.253757
similar_triangles
1
sinusoid
0.5
1
0
26
2.527779
Two triangles are similar with ratio 2.52777851165098:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
20.222228
20.222228
similar_triangles
1
sinusoid
0.5
1
0
27
2.52357
Two triangles are similar with ratio 2.5235698368413:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
20.188559
20.188559
similar_triangles
1
sinusoid
0.5
1
0
28
2.519134
Two triangles are similar with ratio 2.5191341716182545:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
20.153073
20.153073
similar_triangles
1
sinusoid
0.5
1
0
29
2.514514
Two triangles are similar with ratio 2.514514233862723:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
20.116114
20.116114
similar_triangles
1
sinusoid
0.5
1
0
30
2.509755
Two triangles are similar with ratio 2.5097545161008066:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
20.078036
20.078036
similar_triangles
1
sinusoid
0.5
1
0
31
2.504901
Two triangles are similar with ratio 2.504900857016478:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
20.039207
20.039207
similar_triangles
1
sinusoid
0.5
1
0
32
2.5
Two triangles are similar with ratio 2.5:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
20
20
similar_triangles
1
sinusoid
0.5
1
0
33
2.495099
Two triangles are similar with ratio 2.495099142983522:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
19.960793
19.960793
similar_triangles
1
sinusoid
0.5
1
0
34
2.490245
Two triangles are similar with ratio 2.4902454838991934:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
19.921964
19.921964
similar_triangles
1
sinusoid
0.5
1
0
35
2.485486
Two triangles are similar with ratio 2.485485766137277:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
19.883886
19.883886
similar_triangles
1
sinusoid
0.5
1
0
36
2.480866
Two triangles are similar with ratio 2.4808658283817455:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
19.846927
19.846927
similar_triangles
1
sinusoid
0.5
1
0
37
2.47643
Two triangles are similar with ratio 2.4764301631587:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
19.811441
19.811441
similar_triangles
1
sinusoid
0.5
1
0
38
2.472221
Two triangles are similar with ratio 2.47222148834902:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
19.777772
19.777772
similar_triangles
1
sinusoid
0.5
1
0
39
2.46828
Two triangles are similar with ratio 2.468280335791818:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
19.746243
19.746243