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
1
sinusoid
0.5
1
0
40
2.464645
Two triangles are similar with ratio 2.4646446609406727:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
19.717157
19.717157
similar_triangles
1
sinusoid
0.5
1
0
41
2.461349
Two triangles are similar with ratio 2.461349477331863:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
19.690796
19.690796
similar_triangles
1
sinusoid
0.5
1
0
42
2.458427
Two triangles are similar with ratio 2.4584265193848727:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
19.667412
19.667412
similar_triangles
1
sinusoid
0.5
1
0
43
2.455904
Two triangles are similar with ratio 2.4559039367825823:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
19.647231
19.647231
similar_triangles
1
sinusoid
0.5
1
0
44
2.453806
Two triangles are similar with ratio 2.453806023374436:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
19.630448
19.630448
similar_triangles
1
sinusoid
0.5
1
0
45
2.452153
Two triangles are similar with ratio 2.4521529832133897:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
19.617224
19.617224
similar_triangles
1
sinusoid
0.5
1
0
46
2.450961
Two triangles are similar with ratio 2.4509607359798387:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
19.607686
19.607686
similar_triangles
1
sinusoid
0.5
1
0
47
2.450241
Two triangles are similar with ratio 2.45024076366639:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
19.601926
19.601926
similar_triangles
1
sinusoid
0.5
1
0
48
2.45
Two triangles are similar with ratio 2.45:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
19.6
19.6
similar_triangles
1
sinusoid
0.5
1
0
49
2.450241
Two triangles are similar with ratio 2.45024076366639:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
19.601926
19.601926
similar_triangles
1
sinusoid
0.5
1
0
50
2.450961
Two triangles are similar with ratio 2.4509607359798387:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
19.607686
19.607686
similar_triangles
1
sinusoid
0.5
1
0
51
2.452153
Two triangles are similar with ratio 2.4521529832133897:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
19.617224
19.617224
similar_triangles
1
sinusoid
0.5
1
0
52
2.453806
Two triangles are similar with ratio 2.453806023374436:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
19.630448
19.630448
similar_triangles
1
sinusoid
0.5
1
0
53
2.455904
Two triangles are similar with ratio 2.4559039367825823:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
19.647231
19.647231
similar_triangles
1
sinusoid
0.5
1
0
54
2.458427
Two triangles are similar with ratio 2.4584265193848727:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
19.667412
19.667412
similar_triangles
1
sinusoid
0.5
1
0
55
2.461349
Two triangles are similar with ratio 2.461349477331863:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
19.690796
19.690796
similar_triangles
1
sinusoid
0.5
1
0
56
2.464645
Two triangles are similar with ratio 2.4646446609406727:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
19.717157
19.717157
similar_triangles
1
sinusoid
0.5
1
0
57
2.46828
Two triangles are similar with ratio 2.4682803357918175:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
19.746243
19.746243
similar_triangles
1
sinusoid
0.5
1
0
58
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
59
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
60
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
61
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
62
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
63
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
2
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
2
0
1
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
2
0
2
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
2
0
3
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
2
0
4
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
2
0
5
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
2
0
6
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
2
0
7
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
2
0
8
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
2
0
9
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
2
0
10
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
2
0
11
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
2
0
12
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
2
0
13
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
2
0
14
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
2
0
15
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
2
0
16
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
2
0
17
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
2
0
18
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
2
0
19
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
2
0
20
2.464645
Two triangles are similar with ratio 2.4646446609406727:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
19.717157
19.717157
similar_triangles
1
sinusoid
0.5
2
0
21
2.458427
Two triangles are similar with ratio 2.4584265193848727:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
19.667412
19.667412
similar_triangles
1
sinusoid
0.5
2
0
22
2.453806
Two triangles are similar with ratio 2.453806023374436:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
19.630448
19.630448
similar_triangles
1
sinusoid
0.5
2
0
23
2.450961
Two triangles are similar with ratio 2.4509607359798387:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
19.607686
19.607686
similar_triangles
1
sinusoid
0.5
2
0
24
2.45
Two triangles are similar with ratio 2.45:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
19.6
19.6
similar_triangles
1
sinusoid
0.5
2
0
25
2.450961
Two triangles are similar with ratio 2.4509607359798387:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
19.607686
19.607686
similar_triangles
1
sinusoid
0.5
2
0
26
2.453806
Two triangles are similar with ratio 2.453806023374436:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
19.630448
19.630448
similar_triangles
1
sinusoid
0.5
2
0
27
2.458427
Two triangles are similar with ratio 2.4584265193848727:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
19.667412
19.667412
similar_triangles
1
sinusoid
0.5
2
0
28
2.464645
Two triangles are similar with ratio 2.4646446609406727:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
19.717157
19.717157
similar_triangles
1
sinusoid
0.5
2
0
29
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
2
0
30
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
2
0
31
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
2
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
2
0
33
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
2
0
34
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
2
0
35
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
2
0
36
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
2
0
37
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
2
0
38
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
2
0
39
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
2
0
40
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
2
0
41
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
2
0
42
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
2
0
43
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
2
0
44
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
2
0
45
2.527779
Two triangles are similar with ratio 2.5277785116509803:1. 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
2
0
46
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
2
0
47
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
2
0
48
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
2
0
49
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
2
0
50
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
2
0
51
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
2
0
52
2.464645
Two triangles are similar with ratio 2.4646446609406727:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
19.717157
19.717157
similar_triangles
1
sinusoid
0.5
2
0
53
2.458427
Two triangles are similar with ratio 2.4584265193848727:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
19.667412
19.667412
similar_triangles
1
sinusoid
0.5
2
0
54
2.453806
Two triangles are similar with ratio 2.453806023374436:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
19.630448
19.630448
similar_triangles
1
sinusoid
0.5
2
0
55
2.450961
Two triangles are similar with ratio 2.4509607359798387:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
19.607686
19.607686
similar_triangles
1
sinusoid
0.5
2
0
56
2.45
Two triangles are similar with ratio 2.45:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
19.6
19.6
similar_triangles
1
sinusoid
0.5
2
0
57
2.450961
Two triangles are similar with ratio 2.4509607359798387:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
19.607686
19.607686
similar_triangles
1
sinusoid
0.5
2
0
58
2.453806
Two triangles are similar with ratio 2.453806023374436:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
19.630448
19.630448
similar_triangles
1
sinusoid
0.5
2
0
59
2.458427
Two triangles are similar with ratio 2.4584265193848727:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
19.667412
19.667412
similar_triangles
1
sinusoid
0.5
2
0
60
2.464645
Two triangles are similar with ratio 2.4646446609406727:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
19.717157
19.717157
similar_triangles
1
sinusoid
0.5
2
0
61
2.472221
Two triangles are similar with ratio 2.4722214883490197:1. 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
2
0
62
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
2
0
63
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
4
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
4
0
1
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
4
0
2
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
4
0
3
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
4
0
4
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
4
0
5
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
4
0
6
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
4
0
7
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
4
0
8
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
4
0
9
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
4
0
10
2.464645
Two triangles are similar with ratio 2.4646446609406727:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
19.717157
19.717157
similar_triangles
1
sinusoid
0.5
4
0
11
2.453806
Two triangles are similar with ratio 2.453806023374436:1. If the smaller triangle has side length 8, what is the corresponding side length of the larger triangle? FINAL:
19.630448
19.630448