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
0
44
2.5
Two triangles are similar with ratio 2.4999999999999996:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30
30
similar_triangles
0
sinusoid
0.5
16
0
45
2.55
Two triangles are similar with ratio 2.55:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.6
30.6
similar_triangles
0
sinusoid
0.5
16
0
46
2.5
Two triangles are similar with ratio 2.5000000000000004:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30
30
similar_triangles
0
sinusoid
0.5
16
0
47
2.45
Two triangles are similar with ratio 2.45:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.4
29.4
similar_triangles
0
sinusoid
0.5
16
0
48
2.5
Two triangles are similar with ratio 2.5:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30
30
similar_triangles
0
sinusoid
0.5
16
0
49
2.55
Two triangles are similar with ratio 2.55:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.6
30.6
similar_triangles
0
sinusoid
0.5
16
0
50
2.5
Two triangles are similar with ratio 2.5:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30
30
similar_triangles
0
sinusoid
0.5
16
0
51
2.45
Two triangles are similar with ratio 2.45:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.4
29.4
similar_triangles
0
sinusoid
0.5
16
0
52
2.5
Two triangles are similar with ratio 2.5:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30
30
similar_triangles
0
sinusoid
0.5
16
0
53
2.55
Two triangles are similar with ratio 2.55:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.6
30.6
similar_triangles
0
sinusoid
0.5
16
0
54
2.5
Two triangles are similar with ratio 2.5000000000000004:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30
30
similar_triangles
0
sinusoid
0.5
16
0
55
2.45
Two triangles are similar with ratio 2.45:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.4
29.4
similar_triangles
0
sinusoid
0.5
16
0
56
2.5
Two triangles are similar with ratio 2.5:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30
30
similar_triangles
0
sinusoid
0.5
16
0
57
2.55
Two triangles are similar with ratio 2.55:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.6
30.6
similar_triangles
0
sinusoid
0.5
16
0
58
2.5
Two triangles are similar with ratio 2.5:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30
30
similar_triangles
0
sinusoid
0.5
16
0
59
2.45
Two triangles are similar with ratio 2.45:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.4
29.4
similar_triangles
0
sinusoid
0.5
16
0
60
2.5
Two triangles are similar with ratio 2.4999999999999996:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30
30
similar_triangles
0
sinusoid
0.5
16
0
61
2.55
Two triangles are similar with ratio 2.55:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.6
30.6
similar_triangles
0
sinusoid
0.5
16
0
62
2.5
Two triangles are similar with ratio 2.5000000000000004:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30
30
similar_triangles
0
sinusoid
0.5
16
0
63
2.45
Two triangles are similar with ratio 2.45:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.4
29.4
similar_triangles
0
sinusoid
0.5
1
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
1
120
1
2.540642
Two triangles are similar with ratio 2.540642334229581:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.487708
30.487708
similar_triangles
0
sinusoid
0.5
1
120
2
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
1
120
3
2.53418
Two triangles are similar with ratio 2.5341796151011438:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.410155
30.410155
similar_triangles
0
sinusoid
0.5
1
120
4
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
1
120
5
2.526403
Two triangles are similar with ratio 2.526403392532518:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.316841
30.316841
similar_triangles
0
sinusoid
0.5
1
120
6
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
1
120
7
2.517613
Two triangles are similar with ratio 2.517612502396062:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.21135
30.21135
similar_triangles
0
sinusoid
0.5
1
120
8
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
1
120
9
2.508145
Two triangles are similar with ratio 2.5081447736697293:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.097737
30.097737
similar_triangles
0
sinusoid
0.5
1
120
10
2.50327
Two triangles are similar with ratio 2.503270156461507:1. 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
1
120
11
2.498364
Two triangles are similar with ratio 2.4983640458589114:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.980369
29.980369
similar_triangles
0
sinusoid
0.5
1
120
12
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
1
120
13
2.488646
Two triangles are similar with ratio 2.4886461868482814:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.863754
29.863754
similar_triangles
0
sinusoid
0.5
1
120
14
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
1
120
15
2.479365
Two triangles are similar with ratio 2.4793646485097804:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.752376
29.752376
similar_triangles
0
sinusoid
0.5
1
120
16
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
1
120
17
2.470876
Two triangles are similar with ratio 2.47087611515661:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.650513
29.650513
similar_triangles
0
sinusoid
0.5
1
120
18
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
1
120
19
2.463507
Two triangles are similar with ratio 2.4635067963651083:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.562082
29.562082
similar_triangles
0
sinusoid
0.5
1
120
20
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
1
120
21
2.45754
Two triangles are similar with ratio 2.457539890923671:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.490479
29.490479
similar_triangles
0
sinusoid
0.5
1
120
22
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
1
120
23
2.453205
Two triangles are similar with ratio 2.453204703662134:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.438456
29.438456
similar_triangles
0
sinusoid
0.5
1
120
24
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
1
120
25
2.450668
Two triangles are similar with ratio 2.450667833395756:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.408014
29.408014
similar_triangles
0
sinusoid
0.5
1
120
26
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
1
120
27
2.450027
Two triangles are similar with ratio 2.450026770626182:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.400321
29.400321
similar_triangles
0
sinusoid
0.5
1
120
28
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
1
120
29
2.451306
Two triangles are similar with ratio 2.451306151036133:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.415674
29.415674
similar_triangles
0
sinusoid
0.5
1
120
30
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
1
120
31
2.454457
Two triangles are similar with ratio 2.454456808753941:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.453482
29.453482
similar_triangles
0
sinusoid
0.5
1
120
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
1
120
33
2.459358
Two triangles are similar with ratio 2.459357665770419:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.512292
29.512292
similar_triangles
0
sinusoid
0.5
1
120
34
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
1
120
35
2.46582
Two triangles are similar with ratio 2.4658203848988562:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.589845
29.589845
similar_triangles
0
sinusoid
0.5
1
120
36
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
1
120
37
2.473597
Two triangles are similar with ratio 2.473596607467482:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.683159
29.683159
similar_triangles
0
sinusoid
0.5
1
120
38
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
1
120
39
2.482387
Two triangles are similar with ratio 2.482387497603938:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.78865
29.78865
similar_triangles
0
sinusoid
0.5
1
120
40
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
1
120
41
2.491855
Two triangles are similar with ratio 2.4918552263302707:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.902263
29.902263
similar_triangles
0
sinusoid
0.5
1
120
42
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
1
120
43
2.501636
Two triangles are similar with ratio 2.5016359541410886:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.019631
30.019631
similar_triangles
0
sinusoid
0.5
1
120
44
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
1
120
45
2.511354
Two triangles are similar with ratio 2.5113538131517186:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.136246
30.136246
similar_triangles
0
sinusoid
0.5
1
120
46
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
1
120
47
2.520635
Two triangles are similar with ratio 2.5206353514902196:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.247624
30.247624
similar_triangles
0
sinusoid
0.5
1
120
48
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
1
120
49
2.529124
Two triangles are similar with ratio 2.52912388484339:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.349487
30.349487
similar_triangles
0
sinusoid
0.5
1
120
50
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
1
120
51
2.536493
Two triangles are similar with ratio 2.5364932036348917:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.437918
30.437918
similar_triangles
0
sinusoid
0.5
1
120
52
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
1
120
53
2.54246
Two triangles are similar with ratio 2.542460109076329:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.509521
30.509521
similar_triangles
0
sinusoid
0.5
1
120
54
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
1
120
55
2.546795
Two triangles are similar with ratio 2.546795296337866:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.561544
30.561544
similar_triangles
0
sinusoid
0.5
1
120
56
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
1
120
57
2.549332
Two triangles are similar with ratio 2.549332166604244:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.591986
30.591986
similar_triangles
0
sinusoid
0.5
1
120
58
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
1
120
59
2.549973
Two triangles are similar with ratio 2.549973229373818:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.599679
30.599679
similar_triangles
0
sinusoid
0.5
1
120
60
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
1
120
61
2.548694
Two triangles are similar with ratio 2.548693848963867:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.584326
30.584326
similar_triangles
0
sinusoid
0.5
1
120
62
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
1
120
63
2.545543
Two triangles are similar with ratio 2.545543191246059:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.546518
30.546518
similar_triangles
0
sinusoid
0.5
2
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
2
120
1
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
2
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
3
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
4
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
5
2.50327
Two triangles are similar with ratio 2.503270156461507:1. 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
6
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
7
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
8
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
9
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
10
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
11
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
12
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
13
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
14
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
15
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