Datasets:
cognitive-metrology-lab
/
MathBode-RatioSaturation

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
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
1
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
1
0
1
5.019603
What is the value of 5.0196034280659125/(5.0196034280659125+5)? Express as a decimal. FINAL:
0.500978
0.500978
ratio_saturation
0
sinusoid
0.5
1
0
2
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
1
0
3
5.058057
What is the value of 5.058056935450892/(5.058056935450892+5)? Express as a decimal. FINAL:
0.502886
0.502886
ratio_saturation
0
sinusoid
0.5
1
0
4
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
1
0
5
5.094279
What is the value of 5.0942793473652/(5.0942793473652+5)? Express as a decimal. FINAL:
0.50467
0.50467
ratio_saturation
0
sinusoid
0.5
1
0
6
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
1
0
7
5.126879
What is the value of 5.126878656832729/(5.126878656832729+5)? Express as a decimal. FINAL:
0.506264
0.506264
ratio_saturation
0
sinusoid
0.5
1
0
8
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
1
0
9
5.154602
What is the value of 5.154602090672547/(5.154602090672547+5)? Express as a decimal. FINAL:
0.507612
0.507612
ratio_saturation
0
sinusoid
0.5
1
0
10
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
1
0
11
5.176384
What is the value of 5.176384252869671/(5.176384252869671+5)? Express as a decimal. FINAL:
0.508666
0.508666
ratio_saturation
0
sinusoid
0.5
1
0
12
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
1
0
13
5.191388
What is the value of 5.191388067146442/(5.191388067146442+5)? Express as a decimal. FINAL:
0.50939
0.50939
ratio_saturation
0
sinusoid
0.5
1
0
14
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
1
0
15
5.199037
What is the value of 5.19903694533444/(5.19903694533444+5)? Express as a decimal. FINAL:
0.509758
0.509758
ratio_saturation
0
sinusoid
0.5
1
0
16
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
1
0
17
5.199037
What is the value of 5.19903694533444/(5.19903694533444+5)? Express as a decimal. FINAL:
0.509758
0.509758
ratio_saturation
0
sinusoid
0.5
1
0
18
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
1
0
19
5.191388
What is the value of 5.191388067146442/(5.191388067146442+5)? Express as a decimal. FINAL:
0.50939
0.50939
ratio_saturation
0
sinusoid
0.5
1
0
20
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
1
0
21
5.176384
What is the value of 5.176384252869671/(5.176384252869671+5)? Express as a decimal. FINAL:
0.508666
0.508666
ratio_saturation
0
sinusoid
0.5
1
0
22
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
1
0
23
5.154602
What is the value of 5.154602090672547/(5.154602090672547+5)? Express as a decimal. FINAL:
0.507612
0.507612
ratio_saturation
0
sinusoid
0.5
1
0
24
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
1
0
25
5.126879
What is the value of 5.126878656832729/(5.126878656832729+5)? Express as a decimal. FINAL:
0.506264
0.506264
ratio_saturation
0
sinusoid
0.5
1
0
26
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
1
0
27
5.094279
What is the value of 5.0942793473652/(5.0942793473652+5)? Express as a decimal. FINAL:
0.50467
0.50467
ratio_saturation
0
sinusoid
0.5
1
0
28
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
1
0
29
5.058057
What is the value of 5.058056935450892/(5.058056935450892+5)? Express as a decimal. FINAL:
0.502886
0.502886
ratio_saturation
0
sinusoid
0.5
1
0
30
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
1
0
31
5.019603
What is the value of 5.0196034280659125/(5.0196034280659125+5)? Express as a decimal. FINAL:
0.500978
0.500978
ratio_saturation
0
sinusoid
0.5
1
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
1
0
33
4.980397
What is the value of 4.9803965719340875/(4.9803965719340875+5)? Express as a decimal. FINAL:
0.499018
0.499018
ratio_saturation
0
sinusoid
0.5
1
0
34
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
1
0
35
4.941943
What is the value of 4.941943064549108/(4.941943064549108+5)? Express as a decimal. FINAL:
0.49708
0.49708
ratio_saturation
0
sinusoid
0.5
1
0
36
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
1
0
37
4.905721
What is the value of 4.9057206526348/(4.9057206526348+5)? Express as a decimal. FINAL:
0.495241
0.495241
ratio_saturation
0
sinusoid
0.5
1
0
38
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
1
0
39
4.873121
What is the value of 4.873121343167271/(4.873121343167271+5)? Express as a decimal. FINAL:
0.493575
0.493575
ratio_saturation
0
sinusoid
0.5
1
0
40
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
1
0
41
4.845398
What is the value of 4.845397909327453/(4.845397909327453+5)? Express as a decimal. FINAL:
0.492149
0.492149
ratio_saturation
0
sinusoid
0.5
1
0
42
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
1
0
43
4.823616
What is the value of 4.823615747130329/(4.823615747130329+5)? Express as a decimal. FINAL:
0.491022
0.491022
ratio_saturation
0
sinusoid
0.5
1
0
44
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
1
0
45
4.808612
What is the value of 4.808611932853558/(4.808611932853558+5)? Express as a decimal. FINAL:
0.490244
0.490244
ratio_saturation
0
sinusoid
0.5
1
0
46
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
1
0
47
4.800963
What is the value of 4.80096305466556/(4.80096305466556+5)? Express as a decimal. FINAL:
0.489846
0.489846
ratio_saturation
0
sinusoid
0.5
1
0
48
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
1
0
49
4.800963
What is the value of 4.80096305466556/(4.80096305466556+5)? Express as a decimal. FINAL:
0.489846
0.489846
ratio_saturation
0
sinusoid
0.5
1
0
50
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
1
0
51
4.808612
What is the value of 4.808611932853558/(4.808611932853558+5)? Express as a decimal. FINAL:
0.490244
0.490244
ratio_saturation
0
sinusoid
0.5
1
0
52
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
1
0
53
4.823616
What is the value of 4.823615747130329/(4.823615747130329+5)? Express as a decimal. FINAL:
0.491022
0.491022
ratio_saturation
0
sinusoid
0.5
1
0
54
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
1
0
55
4.845398
What is the value of 4.845397909327453/(4.845397909327453+5)? Express as a decimal. FINAL:
0.492149
0.492149
ratio_saturation
0
sinusoid
0.5
1
0
56
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
1
0
57
4.873121
What is the value of 4.873121343167271/(4.873121343167271+5)? Express as a decimal. FINAL:
0.493575
0.493575
ratio_saturation
0
sinusoid
0.5
1
0
58
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
1
0
59
4.905721
What is the value of 4.9057206526348/(4.9057206526348+5)? Express as a decimal. FINAL:
0.495241
0.495241
ratio_saturation
0
sinusoid
0.5
1
0
60
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
1
0
61
4.941943
What is the value of 4.941943064549108/(4.941943064549108+5)? Express as a decimal. FINAL:
0.49708
0.49708
ratio_saturation
0
sinusoid
0.5
1
0
62
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
1
0
63
4.980397
What is the value of 4.9803965719340875/(4.9803965719340875+5)? Express as a decimal. FINAL:
0.499018
0.499018
ratio_saturation
0
sinusoid
0.5
2
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
2
0
1
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
2
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
3
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
4
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
5
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
6
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
7
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
8
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
9
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
10
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
11
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
12
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
13
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
14
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
15
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
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
2
0
17
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
18
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
19
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
20
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
21
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
22
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
23
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
24
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
25
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
26
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
27
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
28
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
29
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
30
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
31
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
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
2
0
33
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
34
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
35
5.111114
What is the value of 5.11111404660392/(5.11111404660392+5)? Express as a decimal. FINAL:
0.505495
0.505495