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
4
6
prompt
stringlengths
64
94
ground_truth
float64
0.36
0.67
symbolic_baseline_answer
float64
0.36
0.67
ratio_saturation
0
sinusoid
0.5
8
0
8
5
What is the value of 5.0/(5.0+5)? Express as a decimal. FINAL:
0.5
0.5
ratio_saturation
0
sinusoid
0.5
8
0
9
5.141421
What is the value of 5.141421356237309/(5.141421356237309+5)? Express as a decimal. FINAL:
0.506972
0.506972
ratio_saturation
0
sinusoid
0.5
8
0
10
5.2
What is the value of 5.2/(5.2+5)? Express as a decimal. FINAL:
0.509804
0.509804
ratio_saturation
0
sinusoid
0.5
8
0
11
5.141421
What is the value of 5.14142135623731/(5.14142135623731+5)? Express as a decimal. FINAL:
0.506972
0.506972
ratio_saturation
0
sinusoid
0.5
8
0
12
5
What is the value of 5.0/(5.0+5)? Express as a decimal. FINAL:
0.5
0.5
ratio_saturation
0
sinusoid
0.5
8
0
13
4.858579
What is the value of 4.858578643762691/(4.858578643762691+5)? Express as a decimal. FINAL:
0.492827
0.492827
ratio_saturation
0
sinusoid
0.5
8
0
14
4.8
What is the value of 4.8/(4.8+5)? Express as a decimal. FINAL:
0.489796
0.489796
ratio_saturation
0
sinusoid
0.5
8
0
15
4.858579
What is the value of 4.85857864376269/(4.85857864376269+5)? Express as a decimal. FINAL:
0.492827
0.492827
ratio_saturation
0
sinusoid
0.5
8
0
16
5
What is the value of 5.0/(5.0+5)? Express as a decimal. FINAL:
0.5
0.5
ratio_saturation
0
sinusoid
0.5
8
0
17
5.141421
What is the value of 5.141421356237309/(5.141421356237309+5)? Express as a decimal. FINAL:
0.506972
0.506972
ratio_saturation
0
sinusoid
0.5
8
0
18
5.2
What is the value of 5.2/(5.2+5)? Express as a decimal. FINAL:
0.509804
0.509804
ratio_saturation
0
sinusoid
0.5
8
0
19
5.141421
What is the value of 5.14142135623731/(5.14142135623731+5)? Express as a decimal. FINAL:
0.506972
0.506972
ratio_saturation
0
sinusoid
0.5
8
0
20
5
What is the value of 5.0/(5.0+5)? Express as a decimal. FINAL:
0.5
0.5
ratio_saturation
0
sinusoid
0.5
8
0
21
4.858579
What is the value of 4.858578643762691/(4.858578643762691+5)? Express as a decimal. FINAL:
0.492827
0.492827
ratio_saturation
0
sinusoid
0.5
8
0
22
4.8
What is the value of 4.8/(4.8+5)? Express as a decimal. FINAL:
0.489796
0.489796
ratio_saturation
0
sinusoid
0.5
8
0
23
4.858579
What is the value of 4.85857864376269/(4.85857864376269+5)? Express as a decimal. FINAL:
0.492827
0.492827
ratio_saturation
0
sinusoid
0.5
8
0
24
5
What is the value of 5.0/(5.0+5)? Express as a decimal. FINAL:
0.5
0.5
ratio_saturation
0
sinusoid
0.5
8
0
25
5.141421
What is the value of 5.141421356237309/(5.141421356237309+5)? Express as a decimal. FINAL:
0.506972
0.506972
ratio_saturation
0
sinusoid
0.5
8
0
26
5.2
What is the value of 5.2/(5.2+5)? Express as a decimal. FINAL:
0.509804
0.509804
ratio_saturation
0
sinusoid
0.5
8
0
27
5.141421
What is the value of 5.14142135623731/(5.14142135623731+5)? Express as a decimal. FINAL:
0.506972
0.506972
ratio_saturation
0
sinusoid
0.5
8
0
28
5
What is the value of 5.0/(5.0+5)? Express as a decimal. FINAL:
0.5
0.5
ratio_saturation
0
sinusoid
0.5
8
0
29
4.858579
What is the value of 4.858578643762691/(4.858578643762691+5)? Express as a decimal. FINAL:
0.492827
0.492827
ratio_saturation
0
sinusoid
0.5
8
0
30
4.8
What is the value of 4.8/(4.8+5)? Express as a decimal. FINAL:
0.489796
0.489796
ratio_saturation
0
sinusoid
0.5
8
0
31
4.858579
What is the value of 4.85857864376269/(4.85857864376269+5)? Express as a decimal. FINAL:
0.492827
0.492827
ratio_saturation
0
sinusoid
0.5
8
0
32
5
What is the value of 5.0/(5.0+5)? Express as a decimal. FINAL:
0.5
0.5
ratio_saturation
0
sinusoid
0.5
8
0
33
5.141421
What is the value of 5.141421356237309/(5.141421356237309+5)? Express as a decimal. FINAL:
0.506972
0.506972
ratio_saturation
0
sinusoid
0.5
8
0
34
5.2
What is the value of 5.2/(5.2+5)? Express as a decimal. FINAL:
0.509804
0.509804
ratio_saturation
0
sinusoid
0.5
8
0
35
5.141421
What is the value of 5.14142135623731/(5.14142135623731+5)? Express as a decimal. FINAL:
0.506972
0.506972
ratio_saturation
0
sinusoid
0.5
8
0
36
5
What is the value of 5.0/(5.0+5)? Express as a decimal. FINAL:
0.5
0.5
ratio_saturation
0
sinusoid
0.5
8
0
37
4.858579
What is the value of 4.858578643762691/(4.858578643762691+5)? Express as a decimal. FINAL:
0.492827
0.492827
ratio_saturation
0
sinusoid
0.5
8
0
38
4.8
What is the value of 4.8/(4.8+5)? Express as a decimal. FINAL:
0.489796
0.489796
ratio_saturation
0
sinusoid
0.5
8
0
39
4.858579
What is the value of 4.85857864376269/(4.85857864376269+5)? Express as a decimal. FINAL:
0.492827
0.492827
ratio_saturation
0
sinusoid
0.5
8
0
40
5
What is the value of 5.0/(5.0+5)? Express as a decimal. FINAL:
0.5
0.5
ratio_saturation
0
sinusoid
0.5
8
0
41
5.141421
What is the value of 5.141421356237309/(5.141421356237309+5)? Express as a decimal. FINAL:
0.506972
0.506972
ratio_saturation
0
sinusoid
0.5
8
0
42
5.2
What is the value of 5.2/(5.2+5)? Express as a decimal. FINAL:
0.509804
0.509804
ratio_saturation
0
sinusoid
0.5
8
0
43
5.141421
What is the value of 5.14142135623731/(5.14142135623731+5)? Express as a decimal. FINAL:
0.506972
0.506972
ratio_saturation
0
sinusoid
0.5
8
0
44
5
What is the value of 5.000000000000001/(5.000000000000001+5)? Express as a decimal. FINAL:
0.5
0.5
ratio_saturation
0
sinusoid
0.5
8
0
45
4.858579
What is the value of 4.858578643762691/(4.858578643762691+5)? Express as a decimal. FINAL:
0.492827
0.492827
ratio_saturation
0
sinusoid
0.5
8
0
46
4.8
What is the value of 4.8/(4.8+5)? Express as a decimal. FINAL:
0.489796
0.489796
ratio_saturation
0
sinusoid
0.5
8
0
47
4.858579
What is the value of 4.858578643762691/(4.858578643762691+5)? Express as a decimal. FINAL:
0.492827
0.492827
ratio_saturation
0
sinusoid
0.5
8
0
48
5
What is the value of 5.0/(5.0+5)? Express as a decimal. FINAL:
0.5
0.5
ratio_saturation
0
sinusoid
0.5
8
0
49
5.141421
What is the value of 5.141421356237309/(5.141421356237309+5)? Express as a decimal. FINAL:
0.506972
0.506972
ratio_saturation
0
sinusoid
0.5
8
0
50
5.2
What is the value of 5.2/(5.2+5)? Express as a decimal. FINAL:
0.509804
0.509804
ratio_saturation
0
sinusoid
0.5
8
0
51
5.141421
What is the value of 5.14142135623731/(5.14142135623731+5)? Express as a decimal. FINAL:
0.506972
0.506972
ratio_saturation
0
sinusoid
0.5
8
0
52
5
What is the value of 5.0/(5.0+5)? Express as a decimal. FINAL:
0.5
0.5
ratio_saturation
0
sinusoid
0.5
8
0
53
4.858579
What is the value of 4.858578643762691/(4.858578643762691+5)? Express as a decimal. FINAL:
0.492827
0.492827
ratio_saturation
0
sinusoid
0.5
8
0
54
4.8
What is the value of 4.8/(4.8+5)? Express as a decimal. FINAL:
0.489796
0.489796
ratio_saturation
0
sinusoid
0.5
8
0
55
4.858579
What is the value of 4.858578643762691/(4.858578643762691+5)? Express as a decimal. FINAL:
0.492827
0.492827
ratio_saturation
0
sinusoid
0.5
8
0
56
5
What is the value of 5.0/(5.0+5)? Express as a decimal. FINAL:
0.5
0.5
ratio_saturation
0
sinusoid
0.5
8
0
57
5.141421
What is the value of 5.141421356237309/(5.141421356237309+5)? Express as a decimal. FINAL:
0.506972
0.506972
ratio_saturation
0
sinusoid
0.5
8
0
58
5.2
What is the value of 5.2/(5.2+5)? Express as a decimal. FINAL:
0.509804
0.509804
ratio_saturation
0
sinusoid
0.5
8
0
59
5.141421
What is the value of 5.14142135623731/(5.14142135623731+5)? Express as a decimal. FINAL:
0.506972
0.506972
ratio_saturation
0
sinusoid
0.5
8
0
60
5
What is the value of 5.000000000000001/(5.000000000000001+5)? Express as a decimal. FINAL:
0.5
0.5
ratio_saturation
0
sinusoid
0.5
8
0
61
4.858579
What is the value of 4.858578643762691/(4.858578643762691+5)? Express as a decimal. FINAL:
0.492827
0.492827
ratio_saturation
0
sinusoid
0.5
8
0
62
4.8
What is the value of 4.8/(4.8+5)? Express as a decimal. FINAL:
0.489796
0.489796
ratio_saturation
0
sinusoid
0.5
8
0
63
4.858579
What is the value of 4.858578643762691/(4.858578643762691+5)? Express as a decimal. FINAL:
0.492827
0.492827
ratio_saturation
0
sinusoid
0.5
16
0
0
5
What is the value of 5.0/(5.0+5)? Express as a decimal. FINAL:
0.5
0.5
ratio_saturation
0
sinusoid
0.5
16
0
1
5.2
What is the value of 5.2/(5.2+5)? Express as a decimal. FINAL:
0.509804
0.509804
ratio_saturation
0
sinusoid
0.5
16
0
2
5
What is the value of 5.0/(5.0+5)? Express as a decimal. FINAL:
0.5
0.5
ratio_saturation
0
sinusoid
0.5
16
0
3
4.8
What is the value of 4.8/(4.8+5)? Express as a decimal. FINAL:
0.489796
0.489796
ratio_saturation
0
sinusoid
0.5
16
0
4
5
What is the value of 5.0/(5.0+5)? Express as a decimal. FINAL:
0.5
0.5
ratio_saturation
0
sinusoid
0.5
16
0
5
5.2
What is the value of 5.2/(5.2+5)? Express as a decimal. FINAL:
0.509804
0.509804
ratio_saturation
0
sinusoid
0.5
16
0
6
5
What is the value of 5.0/(5.0+5)? Express as a decimal. FINAL:
0.5
0.5
ratio_saturation
0
sinusoid
0.5
16
0
7
4.8
What is the value of 4.8/(4.8+5)? Express as a decimal. FINAL:
0.489796
0.489796
ratio_saturation
0
sinusoid
0.5
16
0
8
5
What is the value of 5.0/(5.0+5)? Express as a decimal. FINAL:
0.5
0.5
ratio_saturation
0
sinusoid
0.5
16
0
9
5.2
What is the value of 5.2/(5.2+5)? Express as a decimal. FINAL:
0.509804
0.509804
ratio_saturation
0
sinusoid
0.5
16
0
10
5
What is the value of 5.0/(5.0+5)? Express as a decimal. FINAL:
0.5
0.5
ratio_saturation
0
sinusoid
0.5
16
0
11
4.8
What is the value of 4.8/(4.8+5)? Express as a decimal. FINAL:
0.489796
0.489796
ratio_saturation
0
sinusoid
0.5
16
0
12
5
What is the value of 5.0/(5.0+5)? Express as a decimal. FINAL:
0.5
0.5
ratio_saturation
0
sinusoid
0.5
16
0
13
5.2
What is the value of 5.2/(5.2+5)? Express as a decimal. FINAL:
0.509804
0.509804
ratio_saturation
0
sinusoid
0.5
16
0
14
5
What is the value of 5.0/(5.0+5)? Express as a decimal. FINAL:
0.5
0.5
ratio_saturation
0
sinusoid
0.5
16
0
15
4.8
What is the value of 4.8/(4.8+5)? Express as a decimal. FINAL:
0.489796
0.489796
ratio_saturation
0
sinusoid
0.5
16
0
16
5
What is the value of 5.0/(5.0+5)? Express as a decimal. FINAL:
0.5
0.5
ratio_saturation
0
sinusoid
0.5
16
0
17
5.2
What is the value of 5.2/(5.2+5)? Express as a decimal. FINAL:
0.509804
0.509804
ratio_saturation
0
sinusoid
0.5
16
0
18
5
What is the value of 5.0/(5.0+5)? Express as a decimal. FINAL:
0.5
0.5
ratio_saturation
0
sinusoid
0.5
16
0
19
4.8
What is the value of 4.8/(4.8+5)? Express as a decimal. FINAL:
0.489796
0.489796
ratio_saturation
0
sinusoid
0.5
16
0
20
5
What is the value of 5.0/(5.0+5)? Express as a decimal. FINAL:
0.5
0.5
ratio_saturation
0
sinusoid
0.5
16
0
21
5.2
What is the value of 5.2/(5.2+5)? Express as a decimal. FINAL:
0.509804
0.509804
ratio_saturation
0
sinusoid
0.5
16
0
22
5
What is the value of 5.000000000000001/(5.000000000000001+5)? Express as a decimal. FINAL:
0.5
0.5
ratio_saturation
0
sinusoid
0.5
16
0
23
4.8
What is the value of 4.8/(4.8+5)? Express as a decimal. FINAL:
0.489796
0.489796
ratio_saturation
0
sinusoid
0.5
16
0
24
5
What is the value of 5.0/(5.0+5)? Express as a decimal. FINAL:
0.5
0.5
ratio_saturation
0
sinusoid
0.5
16
0
25
5.2
What is the value of 5.2/(5.2+5)? Express as a decimal. FINAL:
0.509804
0.509804
ratio_saturation
0
sinusoid
0.5
16
0
26
5
What is the value of 5.0/(5.0+5)? Express as a decimal. FINAL:
0.5
0.5
ratio_saturation
0
sinusoid
0.5
16
0
27
4.8
What is the value of 4.8/(4.8+5)? Express as a decimal. FINAL:
0.489796
0.489796
ratio_saturation
0
sinusoid
0.5
16
0
28
5
What is the value of 5.0/(5.0+5)? Express as a decimal. FINAL:
0.5
0.5
ratio_saturation
0
sinusoid
0.5
16
0
29
5.2
What is the value of 5.2/(5.2+5)? Express as a decimal. FINAL:
0.509804
0.509804
ratio_saturation
0
sinusoid
0.5
16
0
30
5
What is the value of 5.000000000000001/(5.000000000000001+5)? Express as a decimal. FINAL:
0.5
0.5
ratio_saturation
0
sinusoid
0.5
16
0
31
4.8
What is the value of 4.8/(4.8+5)? Express as a decimal. FINAL:
0.489796
0.489796
ratio_saturation
0
sinusoid
0.5
16
0
32
5
What is the value of 5.0/(5.0+5)? Express as a decimal. FINAL:
0.5
0.5
ratio_saturation
0
sinusoid
0.5
16
0
33
5.2
What is the value of 5.2/(5.2+5)? Express as a decimal. FINAL:
0.509804
0.509804
ratio_saturation
0
sinusoid
0.5
16
0
34
5
What is the value of 5.0/(5.0+5)? Express as a decimal. FINAL:
0.5
0.5
ratio_saturation
0
sinusoid
0.5
16
0
35
4.8
What is the value of 4.8/(4.8+5)? Express as a decimal. FINAL:
0.489796
0.489796
ratio_saturation
0
sinusoid
0.5
16
0
36
5
What is the value of 5.0/(5.0+5)? Express as a decimal. FINAL:
0.5
0.5
ratio_saturation
0
sinusoid
0.5
16
0
37
5.2
What is the value of 5.2/(5.2+5)? Express as a decimal. FINAL:
0.509804
0.509804
ratio_saturation
0
sinusoid
0.5
16
0
38
5
What is the value of 5.000000000000001/(5.000000000000001+5)? Express as a decimal. FINAL:
0.5
0.5
ratio_saturation
0
sinusoid
0.5
16
0
39
4.8
What is the value of 4.8/(4.8+5)? Express as a decimal. FINAL:
0.489796
0.489796
ratio_saturation
0
sinusoid
0.5
16
0
40
5
What is the value of 4.999999999999999/(4.999999999999999+5)? Express as a decimal. FINAL:
0.5
0.5
ratio_saturation
0
sinusoid
0.5
16
0
41
5.2
What is the value of 5.2/(5.2+5)? Express as a decimal. FINAL:
0.509804
0.509804
ratio_saturation
0
sinusoid
0.5
16
0
42
5
What is the value of 5.0/(5.0+5)? Express as a decimal. FINAL:
0.5
0.5
ratio_saturation
0
sinusoid
0.5
16
0
43
4.8
What is the value of 4.8/(4.8+5)? Express as a decimal. FINAL:
0.489796
0.489796