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
2
0
36
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
2
0
37
5.166294
What is the value of 5.166293922460509/(5.166293922460509+5)? Express as a decimal. FINAL:
0.508179
0.508179
ratio_saturation
0
sinusoid
0.5
2
0
38
5.184776
What is the value of 5.184775906502257/(5.184775906502257+5)? Express as a decimal. FINAL:
0.509071
0.509071
ratio_saturation
0
sinusoid
0.5
2
0
39
5.196157
What is the value of 5.196157056080646/(5.196157056080646+5)? Express as a decimal. FINAL:
0.509619
0.509619
ratio_saturation
0
sinusoid
0.5
2
0
40
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
2
0
41
5.196157
What is the value of 5.196157056080646/(5.196157056080646+5)? Express as a decimal. FINAL:
0.509619
0.509619
ratio_saturation
0
sinusoid
0.5
2
0
42
5.184776
What is the value of 5.184775906502257/(5.184775906502257+5)? Express as a decimal. FINAL:
0.509071
0.509071
ratio_saturation
0
sinusoid
0.5
2
0
43
5.166294
What is the value of 5.166293922460509/(5.166293922460509+5)? Express as a decimal. FINAL:
0.508179
0.508179
ratio_saturation
0
sinusoid
0.5
2
0
44
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
2
0
45
5.111114
What is the value of 5.11111404660392/(5.11111404660392+5)? Express as a decimal. FINAL:
0.505495
0.505495
ratio_saturation
0
sinusoid
0.5
2
0
46
5.076537
What is the value of 5.076536686473018/(5.076536686473018+5)? Express as a decimal. FINAL:
0.503798
0.503798
ratio_saturation
0
sinusoid
0.5
2
0
47
5.039018
What is the value of 5.039018064403225/(5.039018064403225+5)? Express as a decimal. FINAL:
0.501943
0.501943
ratio_saturation
0
sinusoid
0.5
2
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
2
0
49
4.960982
What is the value of 4.960981935596775/(4.960981935596775+5)? Express as a decimal. FINAL:
0.498041
0.498041
ratio_saturation
0
sinusoid
0.5
2
0
50
4.923463
What is the value of 4.923463313526982/(4.923463313526982+5)? Express as a decimal. FINAL:
0.496144
0.496144
ratio_saturation
0
sinusoid
0.5
2
0
51
4.888886
What is the value of 4.88888595339608/(4.88888595339608+5)? Express as a decimal. FINAL:
0.494382
0.494382
ratio_saturation
0
sinusoid
0.5
2
0
52
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
2
0
53
4.833706
What is the value of 4.833706077539491/(4.833706077539491+5)? Express as a decimal. FINAL:
0.491545
0.491545
ratio_saturation
0
sinusoid
0.5
2
0
54
4.815224
What is the value of 4.815224093497743/(4.815224093497743+5)? Express as a decimal. FINAL:
0.490587
0.490587
ratio_saturation
0
sinusoid
0.5
2
0
55
4.803843
What is the value of 4.803842943919354/(4.803842943919354+5)? Express as a decimal. FINAL:
0.489996
0.489996
ratio_saturation
0
sinusoid
0.5
2
0
56
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
2
0
57
4.803843
What is the value of 4.803842943919354/(4.803842943919354+5)? Express as a decimal. FINAL:
0.489996
0.489996
ratio_saturation
0
sinusoid
0.5
2
0
58
4.815224
What is the value of 4.815224093497743/(4.815224093497743+5)? Express as a decimal. FINAL:
0.490587
0.490587
ratio_saturation
0
sinusoid
0.5
2
0
59
4.833706
What is the value of 4.833706077539491/(4.833706077539491+5)? Express as a decimal. FINAL:
0.491545
0.491545
ratio_saturation
0
sinusoid
0.5
2
0
60
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
2
0
61
4.888886
What is the value of 4.88888595339608/(4.88888595339608+5)? Express as a decimal. FINAL:
0.494382
0.494382
ratio_saturation
0
sinusoid
0.5
2
0
62
4.923463
What is the value of 4.923463313526982/(4.923463313526982+5)? Express as a decimal. FINAL:
0.496144
0.496144
ratio_saturation
0
sinusoid
0.5
2
0
63
4.960982
What is the value of 4.960981935596775/(4.960981935596775+5)? Express as a decimal. FINAL:
0.498041
0.498041
ratio_saturation
0
sinusoid
0.5
4
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
4
0
1
5.076537
What is the value of 5.076536686473018/(5.076536686473018+5)? Express as a decimal. FINAL:
0.503798
0.503798
ratio_saturation
0
sinusoid
0.5
4
0
2
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
4
0
3
5.184776
What is the value of 5.184775906502257/(5.184775906502257+5)? Express as a decimal. FINAL:
0.509071
0.509071
ratio_saturation
0
sinusoid
0.5
4
0
4
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
4
0
5
5.184776
What is the value of 5.184775906502257/(5.184775906502257+5)? Express as a decimal. FINAL:
0.509071
0.509071
ratio_saturation
0
sinusoid
0.5
4
0
6
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
4
0
7
5.076537
What is the value of 5.076536686473018/(5.076536686473018+5)? Express as a decimal. FINAL:
0.503798
0.503798
ratio_saturation
0
sinusoid
0.5
4
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
4
0
9
4.923463
What is the value of 4.923463313526982/(4.923463313526982+5)? Express as a decimal. FINAL:
0.496144
0.496144
ratio_saturation
0
sinusoid
0.5
4
0
10
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
4
0
11
4.815224
What is the value of 4.815224093497743/(4.815224093497743+5)? Express as a decimal. FINAL:
0.490587
0.490587
ratio_saturation
0
sinusoid
0.5
4
0
12
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
4
0
13
4.815224
What is the value of 4.815224093497743/(4.815224093497743+5)? Express as a decimal. FINAL:
0.490587
0.490587
ratio_saturation
0
sinusoid
0.5
4
0
14
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
4
0
15
4.923463
What is the value of 4.923463313526982/(4.923463313526982+5)? Express as a decimal. FINAL:
0.496144
0.496144
ratio_saturation
0
sinusoid
0.5
4
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
4
0
17
5.076537
What is the value of 5.076536686473018/(5.076536686473018+5)? Express as a decimal. FINAL:
0.503798
0.503798
ratio_saturation
0
sinusoid
0.5
4
0
18
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
4
0
19
5.184776
What is the value of 5.184775906502257/(5.184775906502257+5)? Express as a decimal. FINAL:
0.509071
0.509071
ratio_saturation
0
sinusoid
0.5
4
0
20
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
4
0
21
5.184776
What is the value of 5.184775906502257/(5.184775906502257+5)? Express as a decimal. FINAL:
0.509071
0.509071
ratio_saturation
0
sinusoid
0.5
4
0
22
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
4
0
23
5.076537
What is the value of 5.076536686473018/(5.076536686473018+5)? Express as a decimal. FINAL:
0.503798
0.503798
ratio_saturation
0
sinusoid
0.5
4
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
4
0
25
4.923463
What is the value of 4.923463313526982/(4.923463313526982+5)? Express as a decimal. FINAL:
0.496144
0.496144
ratio_saturation
0
sinusoid
0.5
4
0
26
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
4
0
27
4.815224
What is the value of 4.815224093497743/(4.815224093497743+5)? Express as a decimal. FINAL:
0.490587
0.490587
ratio_saturation
0
sinusoid
0.5
4
0
28
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
4
0
29
4.815224
What is the value of 4.815224093497743/(4.815224093497743+5)? Express as a decimal. FINAL:
0.490587
0.490587
ratio_saturation
0
sinusoid
0.5
4
0
30
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
4
0
31
4.923463
What is the value of 4.923463313526982/(4.923463313526982+5)? Express as a decimal. FINAL:
0.496144
0.496144
ratio_saturation
0
sinusoid
0.5
4
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
4
0
33
5.076537
What is the value of 5.076536686473018/(5.076536686473018+5)? Express as a decimal. FINAL:
0.503798
0.503798
ratio_saturation
0
sinusoid
0.5
4
0
34
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
4
0
35
5.184776
What is the value of 5.184775906502257/(5.184775906502257+5)? Express as a decimal. FINAL:
0.509071
0.509071
ratio_saturation
0
sinusoid
0.5
4
0
36
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
4
0
37
5.184776
What is the value of 5.184775906502257/(5.184775906502257+5)? Express as a decimal. FINAL:
0.509071
0.509071
ratio_saturation
0
sinusoid
0.5
4
0
38
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
4
0
39
5.076537
What is the value of 5.076536686473018/(5.076536686473018+5)? Express as a decimal. FINAL:
0.503798
0.503798
ratio_saturation
0
sinusoid
0.5
4
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
4
0
41
4.923463
What is the value of 4.923463313526982/(4.923463313526982+5)? Express as a decimal. FINAL:
0.496144
0.496144
ratio_saturation
0
sinusoid
0.5
4
0
42
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
4
0
43
4.815224
What is the value of 4.815224093497743/(4.815224093497743+5)? Express as a decimal. FINAL:
0.490587
0.490587
ratio_saturation
0
sinusoid
0.5
4
0
44
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
4
0
45
4.815224
What is the value of 4.815224093497743/(4.815224093497743+5)? Express as a decimal. FINAL:
0.490587
0.490587
ratio_saturation
0
sinusoid
0.5
4
0
46
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
4
0
47
4.923463
What is the value of 4.923463313526982/(4.923463313526982+5)? Express as a decimal. FINAL:
0.496144
0.496144
ratio_saturation
0
sinusoid
0.5
4
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
4
0
49
5.076537
What is the value of 5.076536686473018/(5.076536686473018+5)? Express as a decimal. FINAL:
0.503798
0.503798
ratio_saturation
0
sinusoid
0.5
4
0
50
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
4
0
51
5.184776
What is the value of 5.184775906502257/(5.184775906502257+5)? Express as a decimal. FINAL:
0.509071
0.509071
ratio_saturation
0
sinusoid
0.5
4
0
52
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
4
0
53
5.184776
What is the value of 5.184775906502257/(5.184775906502257+5)? Express as a decimal. FINAL:
0.509071
0.509071
ratio_saturation
0
sinusoid
0.5
4
0
54
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
4
0
55
5.076537
What is the value of 5.076536686473018/(5.076536686473018+5)? Express as a decimal. FINAL:
0.503798
0.503798
ratio_saturation
0
sinusoid
0.5
4
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
4
0
57
4.923463
What is the value of 4.923463313526982/(4.923463313526982+5)? Express as a decimal. FINAL:
0.496144
0.496144
ratio_saturation
0
sinusoid
0.5
4
0
58
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
4
0
59
4.815224
What is the value of 4.815224093497743/(4.815224093497743+5)? Express as a decimal. FINAL:
0.490587
0.490587
ratio_saturation
0
sinusoid
0.5
4
0
60
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
4
0
61
4.815224
What is the value of 4.815224093497743/(4.815224093497743+5)? Express as a decimal. FINAL:
0.490587
0.490587
ratio_saturation
0
sinusoid
0.5
4
0
62
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
4
0
63
4.923463
What is the value of 4.923463313526982/(4.923463313526982+5)? Express as a decimal. FINAL:
0.496144
0.496144
ratio_saturation
0
sinusoid
0.5
8
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
8
0
1
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
2
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
3
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
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
8
0
5
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
6
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
7
4.858579
What is the value of 4.858578643762691/(4.858578643762691+5)? Express as a decimal. FINAL:
0.492827
0.492827