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
8
0
8
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
8
0
9
2.535355
Two triangles are similar with ratio 2.5353553390593273:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.424264
30.424264
similar_triangles
0
sinusoid
0.5
8
0
10
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
8
0
11
2.535355
Two triangles are similar with ratio 2.5353553390593273:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.424264
30.424264
similar_triangles
0
sinusoid
0.5
8
0
12
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
8
0
13
2.464645
Two triangles are similar with ratio 2.4646446609406727:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.575736
29.575736
similar_triangles
0
sinusoid
0.5
8
0
14
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
8
0
15
2.464645
Two triangles are similar with ratio 2.4646446609406727:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.575736
29.575736
similar_triangles
0
sinusoid
0.5
8
0
16
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
8
0
17
2.535355
Two triangles are similar with ratio 2.5353553390593273:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.424264
30.424264
similar_triangles
0
sinusoid
0.5
8
0
18
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
8
0
19
2.535355
Two triangles are similar with ratio 2.5353553390593273:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.424264
30.424264
similar_triangles
0
sinusoid
0.5
8
0
20
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
8
0
21
2.464645
Two triangles are similar with ratio 2.4646446609406727:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.575736
29.575736
similar_triangles
0
sinusoid
0.5
8
0
22
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
8
0
23
2.464645
Two triangles are similar with ratio 2.4646446609406727:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.575736
29.575736
similar_triangles
0
sinusoid
0.5
8
0
24
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
8
0
25
2.535355
Two triangles are similar with ratio 2.5353553390593273:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.424264
30.424264
similar_triangles
0
sinusoid
0.5
8
0
26
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
8
0
27
2.535355
Two triangles are similar with ratio 2.5353553390593273:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.424264
30.424264
similar_triangles
0
sinusoid
0.5
8
0
28
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
8
0
29
2.464645
Two triangles are similar with ratio 2.4646446609406727:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.575736
29.575736
similar_triangles
0
sinusoid
0.5
8
0
30
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
8
0
31
2.464645
Two triangles are similar with ratio 2.4646446609406727:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.575736
29.575736
similar_triangles
0
sinusoid
0.5
8
0
32
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
8
0
33
2.535355
Two triangles are similar with ratio 2.5353553390593273:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.424264
30.424264
similar_triangles
0
sinusoid
0.5
8
0
34
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
8
0
35
2.535355
Two triangles are similar with ratio 2.5353553390593273:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.424264
30.424264
similar_triangles
0
sinusoid
0.5
8
0
36
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
8
0
37
2.464645
Two triangles are similar with ratio 2.4646446609406727:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.575736
29.575736
similar_triangles
0
sinusoid
0.5
8
0
38
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
8
0
39
2.464645
Two triangles are similar with ratio 2.4646446609406727:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.575736
29.575736
similar_triangles
0
sinusoid
0.5
8
0
40
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
8
0
41
2.535355
Two triangles are similar with ratio 2.5353553390593273:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.424264
30.424264
similar_triangles
0
sinusoid
0.5
8
0
42
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
8
0
43
2.535355
Two triangles are similar with ratio 2.5353553390593273:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.424264
30.424264
similar_triangles
0
sinusoid
0.5
8
0
44
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
8
0
45
2.464645
Two triangles are similar with ratio 2.4646446609406727:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.575736
29.575736
similar_triangles
0
sinusoid
0.5
8
0
46
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
8
0
47
2.464645
Two triangles are similar with ratio 2.4646446609406727:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.575736
29.575736
similar_triangles
0
sinusoid
0.5
8
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
8
0
49
2.535355
Two triangles are similar with ratio 2.5353553390593273:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.424264
30.424264
similar_triangles
0
sinusoid
0.5
8
0
50
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
8
0
51
2.535355
Two triangles are similar with ratio 2.5353553390593273:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.424264
30.424264
similar_triangles
0
sinusoid
0.5
8
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
8
0
53
2.464645
Two triangles are similar with ratio 2.4646446609406727:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.575736
29.575736
similar_triangles
0
sinusoid
0.5
8
0
54
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
8
0
55
2.464645
Two triangles are similar with ratio 2.4646446609406727:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.575736
29.575736
similar_triangles
0
sinusoid
0.5
8
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
8
0
57
2.535355
Two triangles are similar with ratio 2.5353553390593273:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.424264
30.424264
similar_triangles
0
sinusoid
0.5
8
0
58
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
8
0
59
2.535355
Two triangles are similar with ratio 2.5353553390593273:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
30.424264
30.424264
similar_triangles
0
sinusoid
0.5
8
0
60
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
8
0
61
2.464645
Two triangles are similar with ratio 2.4646446609406727:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.575736
29.575736
similar_triangles
0
sinusoid
0.5
8
0
62
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
8
0
63
2.464645
Two triangles are similar with ratio 2.4646446609406727:1. If the smaller triangle has side length 12, what is the corresponding side length of the larger triangle? FINAL:
29.575736
29.575736
similar_triangles
0
sinusoid
0.5
16
0
0
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
1
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
2
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
3
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
4
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
5
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
6
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
7
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
8
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
9
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
10
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
11
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
12
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
13
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
14
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
15
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
16
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
17
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
18
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
19
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
20
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
21
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
22
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
23
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
24
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
25
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
26
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
27
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
28
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
29
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
30
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
31
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
32
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
33
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
34
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
35
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
36
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
37
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
38
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
39
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
40
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
41
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
42
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
43
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