Datasets:
ai-metrology-lab
/
MathBode-LinearSystem

Dataset card Data Studio Files
xet
Community
1
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
3.5
4.5
prompt
stringlengths
59
76
ground_truth
float64
0.52
2.33
symbolic_baseline_answer
float64
0.52
2.33
linear_system
1
sinusoid
1
1
0
60
3.923463
Solve this system for x: 3.923463313526982x + 2y = 8 1x + 3y = 9 FINAL:
0.6141
0.6141
linear_system
1
sinusoid
1
1
0
61
3.941943
Solve this system for x: 3.9419430645491076x + 2y = 8 1x + 3y = 9 FINAL:
0.610635
0.610635
linear_system
1
sinusoid
1
1
0
62
3.960982
Solve this system for x: 3.960981935596774x + 2y = 8 1x + 3y = 9 FINAL:
0.607106
0.607106
linear_system
1
sinusoid
1
1
0
63
3.980397
Solve this system for x: 3.980396571934088x + 2y = 8 1x + 3y = 9 FINAL:
0.603549
0.603549
linear_system
1
sinusoid
1
2
0
0
4
Solve this system for x: 4.0x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
sinusoid
1
2
0
1
4.039018
Solve this system for x: 4.039018064403225x + 2y = 8 1x + 3y = 9 FINAL:
0.593058
0.593058
linear_system
1
sinusoid
1
2
0
2
4.076537
Solve this system for x: 4.076536686473018x + 2y = 8 1x + 3y = 9 FINAL:
0.586533
0.586533
linear_system
1
sinusoid
1
2
0
3
4.111114
Solve this system for x: 4.11111404660392x + 2y = 8 1x + 3y = 9 FINAL:
0.580645
0.580645
linear_system
1
sinusoid
1
2
0
4
4.141421
Solve this system for x: 4.141421356237309x + 2y = 8 1x + 3y = 9 FINAL:
0.57558
0.57558
linear_system
1
sinusoid
1
2
0
5
4.166294
Solve this system for x: 4.166293922460509x + 2y = 8 1x + 3y = 9 FINAL:
0.571489
0.571489
linear_system
1
sinusoid
1
2
0
6
4.184776
Solve this system for x: 4.184775906502257x + 2y = 8 1x + 3y = 9 FINAL:
0.568487
0.568487
linear_system
1
sinusoid
1
2
0
7
4.196157
Solve this system for x: 4.196157056080646x + 2y = 8 1x + 3y = 9 FINAL:
0.566654
0.566654
linear_system
1
sinusoid
1
2
0
8
4.2
Solve this system for x: 4.2x + 2y = 8 1x + 3y = 9 FINAL:
0.566038
0.566038
linear_system
1
sinusoid
1
2
0
9
4.196157
Solve this system for x: 4.196157056080646x + 2y = 8 1x + 3y = 9 FINAL:
0.566654
0.566654
linear_system
1
sinusoid
1
2
0
10
4.184776
Solve this system for x: 4.184775906502257x + 2y = 8 1x + 3y = 9 FINAL:
0.568487
0.568487
linear_system
1
sinusoid
1
2
0
11
4.166294
Solve this system for x: 4.166293922460509x + 2y = 8 1x + 3y = 9 FINAL:
0.571489
0.571489
linear_system
1
sinusoid
1
2
0
12
4.141421
Solve this system for x: 4.141421356237309x + 2y = 8 1x + 3y = 9 FINAL:
0.57558
0.57558
linear_system
1
sinusoid
1
2
0
13
4.111114
Solve this system for x: 4.11111404660392x + 2y = 8 1x + 3y = 9 FINAL:
0.580645
0.580645
linear_system
1
sinusoid
1
2
0
14
4.076537
Solve this system for x: 4.076536686473018x + 2y = 8 1x + 3y = 9 FINAL:
0.586533
0.586533
linear_system
1
sinusoid
1
2
0
15
4.039018
Solve this system for x: 4.039018064403225x + 2y = 8 1x + 3y = 9 FINAL:
0.593058
0.593058
linear_system
1
sinusoid
1
2
0
16
4
Solve this system for x: 4.0x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
sinusoid
1
2
0
17
3.960982
Solve this system for x: 3.960981935596774x + 2y = 8 1x + 3y = 9 FINAL:
0.607106
0.607106
linear_system
1
sinusoid
1
2
0
18
3.923463
Solve this system for x: 3.923463313526982x + 2y = 8 1x + 3y = 9 FINAL:
0.6141
0.6141
linear_system
1
sinusoid
1
2
0
19
3.888886
Solve this system for x: 3.8888859533960796x + 2y = 8 1x + 3y = 9 FINAL:
0.62069
0.62069
linear_system
1
sinusoid
1
2
0
20
3.858579
Solve this system for x: 3.8585786437626903x + 2y = 8 1x + 3y = 9 FINAL:
0.626584
0.626584
linear_system
1
sinusoid
1
2
0
21
3.833706
Solve this system for x: 3.833706077539491x + 2y = 8 1x + 3y = 9 FINAL:
0.631505
0.631505
linear_system
1
sinusoid
1
2
0
22
3.815224
Solve this system for x: 3.8152240934977426x + 2y = 8 1x + 3y = 9 FINAL:
0.635212
0.635212
linear_system
1
sinusoid
1
2
0
23
3.803843
Solve this system for x: 3.8038429439193537x + 2y = 8 1x + 3y = 9 FINAL:
0.637516
0.637516
linear_system
1
sinusoid
1
2
0
24
3.8
Solve this system for x: 3.8x + 2y = 8 1x + 3y = 9 FINAL:
0.638298
0.638298
linear_system
1
sinusoid
1
2
0
25
3.803843
Solve this system for x: 3.8038429439193537x + 2y = 8 1x + 3y = 9 FINAL:
0.637516
0.637516
linear_system
1
sinusoid
1
2
0
26
3.815224
Solve this system for x: 3.8152240934977426x + 2y = 8 1x + 3y = 9 FINAL:
0.635212
0.635212
linear_system
1
sinusoid
1
2
0
27
3.833706
Solve this system for x: 3.8337060775394907x + 2y = 8 1x + 3y = 9 FINAL:
0.631505
0.631505
linear_system
1
sinusoid
1
2
0
28
3.858579
Solve this system for x: 3.8585786437626903x + 2y = 8 1x + 3y = 9 FINAL:
0.626584
0.626584
linear_system
1
sinusoid
1
2
0
29
3.888886
Solve this system for x: 3.8888859533960796x + 2y = 8 1x + 3y = 9 FINAL:
0.62069
0.62069
linear_system
1
sinusoid
1
2
0
30
3.923463
Solve this system for x: 3.923463313526982x + 2y = 8 1x + 3y = 9 FINAL:
0.6141
0.6141
linear_system
1
sinusoid
1
2
0
31
3.960982
Solve this system for x: 3.960981935596774x + 2y = 8 1x + 3y = 9 FINAL:
0.607106
0.607106
linear_system
1
sinusoid
1
2
0
32
4
Solve this system for x: 4.0x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
sinusoid
1
2
0
33
4.039018
Solve this system for x: 4.039018064403225x + 2y = 8 1x + 3y = 9 FINAL:
0.593058
0.593058
linear_system
1
sinusoid
1
2
0
34
4.076537
Solve this system for x: 4.076536686473018x + 2y = 8 1x + 3y = 9 FINAL:
0.586533
0.586533
linear_system
1
sinusoid
1
2
0
35
4.111114
Solve this system for x: 4.11111404660392x + 2y = 8 1x + 3y = 9 FINAL:
0.580645
0.580645
linear_system
1
sinusoid
1
2
0
36
4.141421
Solve this system for x: 4.141421356237309x + 2y = 8 1x + 3y = 9 FINAL:
0.57558
0.57558
linear_system
1
sinusoid
1
2
0
37
4.166294
Solve this system for x: 4.166293922460509x + 2y = 8 1x + 3y = 9 FINAL:
0.571489
0.571489
linear_system
1
sinusoid
1
2
0
38
4.184776
Solve this system for x: 4.184775906502257x + 2y = 8 1x + 3y = 9 FINAL:
0.568487
0.568487
linear_system
1
sinusoid
1
2
0
39
4.196157
Solve this system for x: 4.196157056080646x + 2y = 8 1x + 3y = 9 FINAL:
0.566654
0.566654
linear_system
1
sinusoid
1
2
0
40
4.2
Solve this system for x: 4.2x + 2y = 8 1x + 3y = 9 FINAL:
0.566038
0.566038
linear_system
1
sinusoid
1
2
0
41
4.196157
Solve this system for x: 4.196157056080646x + 2y = 8 1x + 3y = 9 FINAL:
0.566654
0.566654
linear_system
1
sinusoid
1
2
0
42
4.184776
Solve this system for x: 4.184775906502257x + 2y = 8 1x + 3y = 9 FINAL:
0.568487
0.568487
linear_system
1
sinusoid
1
2
0
43
4.166294
Solve this system for x: 4.166293922460509x + 2y = 8 1x + 3y = 9 FINAL:
0.571489
0.571489
linear_system
1
sinusoid
1
2
0
44
4.141421
Solve this system for x: 4.14142135623731x + 2y = 8 1x + 3y = 9 FINAL:
0.57558
0.57558
linear_system
1
sinusoid
1
2
0
45
4.111114
Solve this system for x: 4.11111404660392x + 2y = 8 1x + 3y = 9 FINAL:
0.580645
0.580645
linear_system
1
sinusoid
1
2
0
46
4.076537
Solve this system for x: 4.076536686473018x + 2y = 8 1x + 3y = 9 FINAL:
0.586533
0.586533
linear_system
1
sinusoid
1
2
0
47
4.039018
Solve this system for x: 4.039018064403225x + 2y = 8 1x + 3y = 9 FINAL:
0.593058
0.593058
linear_system
1
sinusoid
1
2
0
48
4
Solve this system for x: 4.0x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
sinusoid
1
2
0
49
3.960982
Solve this system for x: 3.9609819355967746x + 2y = 8 1x + 3y = 9 FINAL:
0.607106
0.607106
linear_system
1
sinusoid
1
2
0
50
3.923463
Solve this system for x: 3.923463313526982x + 2y = 8 1x + 3y = 9 FINAL:
0.6141
0.6141
linear_system
1
sinusoid
1
2
0
51
3.888886
Solve this system for x: 3.8888859533960796x + 2y = 8 1x + 3y = 9 FINAL:
0.62069
0.62069
linear_system
1
sinusoid
1
2
0
52
3.858579
Solve this system for x: 3.8585786437626903x + 2y = 8 1x + 3y = 9 FINAL:
0.626584
0.626584
linear_system
1
sinusoid
1
2
0
53
3.833706
Solve this system for x: 3.833706077539491x + 2y = 8 1x + 3y = 9 FINAL:
0.631505
0.631505
linear_system
1
sinusoid
1
2
0
54
3.815224
Solve this system for x: 3.8152240934977426x + 2y = 8 1x + 3y = 9 FINAL:
0.635212
0.635212
linear_system
1
sinusoid
1
2
0
55
3.803843
Solve this system for x: 3.8038429439193537x + 2y = 8 1x + 3y = 9 FINAL:
0.637516
0.637516
linear_system
1
sinusoid
1
2
0
56
3.8
Solve this system for x: 3.8x + 2y = 8 1x + 3y = 9 FINAL:
0.638298
0.638298
linear_system
1
sinusoid
1
2
0
57
3.803843
Solve this system for x: 3.8038429439193537x + 2y = 8 1x + 3y = 9 FINAL:
0.637516
0.637516
linear_system
1
sinusoid
1
2
0
58
3.815224
Solve this system for x: 3.8152240934977426x + 2y = 8 1x + 3y = 9 FINAL:
0.635212
0.635212
linear_system
1
sinusoid
1
2
0
59
3.833706
Solve this system for x: 3.8337060775394907x + 2y = 8 1x + 3y = 9 FINAL:
0.631505
0.631505
linear_system
1
sinusoid
1
2
0
60
3.858579
Solve this system for x: 3.8585786437626903x + 2y = 8 1x + 3y = 9 FINAL:
0.626584
0.626584
linear_system
1
sinusoid
1
2
0
61
3.888886
Solve this system for x: 3.8888859533960796x + 2y = 8 1x + 3y = 9 FINAL:
0.62069
0.62069
linear_system
1
sinusoid
1
2
0
62
3.923463
Solve this system for x: 3.923463313526982x + 2y = 8 1x + 3y = 9 FINAL:
0.6141
0.6141
linear_system
1
sinusoid
1
2
0
63
3.960982
Solve this system for x: 3.9609819355967746x + 2y = 8 1x + 3y = 9 FINAL:
0.607106
0.607106
linear_system
1
sinusoid
1
4
0
0
4
Solve this system for x: 4.0x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
sinusoid
1
4
0
1
4.076537
Solve this system for x: 4.076536686473018x + 2y = 8 1x + 3y = 9 FINAL:
0.586533
0.586533
linear_system
1
sinusoid
1
4
0
2
4.141421
Solve this system for x: 4.141421356237309x + 2y = 8 1x + 3y = 9 FINAL:
0.57558
0.57558
linear_system
1
sinusoid
1
4
0
3
4.184776
Solve this system for x: 4.184775906502257x + 2y = 8 1x + 3y = 9 FINAL:
0.568487
0.568487
linear_system
1
sinusoid
1
4
0
4
4.2
Solve this system for x: 4.2x + 2y = 8 1x + 3y = 9 FINAL:
0.566038
0.566038
linear_system
1
sinusoid
1
4
0
5
4.184776
Solve this system for x: 4.184775906502257x + 2y = 8 1x + 3y = 9 FINAL:
0.568487
0.568487
linear_system
1
sinusoid
1
4
0
6
4.141421
Solve this system for x: 4.141421356237309x + 2y = 8 1x + 3y = 9 FINAL:
0.57558
0.57558
linear_system
1
sinusoid
1
4
0
7
4.076537
Solve this system for x: 4.076536686473018x + 2y = 8 1x + 3y = 9 FINAL:
0.586533
0.586533
linear_system
1
sinusoid
1
4
0
8
4
Solve this system for x: 4.0x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
sinusoid
1
4
0
9
3.923463
Solve this system for x: 3.923463313526982x + 2y = 8 1x + 3y = 9 FINAL:
0.6141
0.6141
linear_system
1
sinusoid
1
4
0
10
3.858579
Solve this system for x: 3.8585786437626903x + 2y = 8 1x + 3y = 9 FINAL:
0.626584
0.626584
linear_system
1
sinusoid
1
4
0
11
3.815224
Solve this system for x: 3.8152240934977426x + 2y = 8 1x + 3y = 9 FINAL:
0.635212
0.635212
linear_system
1
sinusoid
1
4
0
12
3.8
Solve this system for x: 3.8x + 2y = 8 1x + 3y = 9 FINAL:
0.638298
0.638298
linear_system
1
sinusoid
1
4
0
13
3.815224
Solve this system for x: 3.8152240934977426x + 2y = 8 1x + 3y = 9 FINAL:
0.635212
0.635212
linear_system
1
sinusoid
1
4
0
14
3.858579
Solve this system for x: 3.8585786437626903x + 2y = 8 1x + 3y = 9 FINAL:
0.626584
0.626584
linear_system
1
sinusoid
1
4
0
15
3.923463
Solve this system for x: 3.923463313526982x + 2y = 8 1x + 3y = 9 FINAL:
0.6141
0.6141
linear_system
1
sinusoid
1
4
0
16
4
Solve this system for x: 4.0x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
sinusoid
1
4
0
17
4.076537
Solve this system for x: 4.076536686473018x + 2y = 8 1x + 3y = 9 FINAL:
0.586533
0.586533
linear_system
1
sinusoid
1
4
0
18
4.141421
Solve this system for x: 4.141421356237309x + 2y = 8 1x + 3y = 9 FINAL:
0.57558
0.57558
linear_system
1
sinusoid
1
4
0
19
4.184776
Solve this system for x: 4.184775906502257x + 2y = 8 1x + 3y = 9 FINAL:
0.568487
0.568487
linear_system
1
sinusoid
1
4
0
20
4.2
Solve this system for x: 4.2x + 2y = 8 1x + 3y = 9 FINAL:
0.566038
0.566038
linear_system
1
sinusoid
1
4
0
21
4.184776
Solve this system for x: 4.184775906502257x + 2y = 8 1x + 3y = 9 FINAL:
0.568487
0.568487
linear_system
1
sinusoid
1
4
0
22
4.141421
Solve this system for x: 4.14142135623731x + 2y = 8 1x + 3y = 9 FINAL:
0.57558
0.57558
linear_system
1
sinusoid
1
4
0
23
4.076537
Solve this system for x: 4.076536686473018x + 2y = 8 1x + 3y = 9 FINAL:
0.586533
0.586533
linear_system
1
sinusoid
1
4
0
24
4
Solve this system for x: 4.0x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
sinusoid
1
4
0
25
3.923463
Solve this system for x: 3.923463313526982x + 2y = 8 1x + 3y = 9 FINAL:
0.6141
0.6141
linear_system
1
sinusoid
1
4
0
26
3.858579
Solve this system for x: 3.8585786437626903x + 2y = 8 1x + 3y = 9 FINAL:
0.626584
0.626584
linear_system
1
sinusoid
1
4
0
27
3.815224
Solve this system for x: 3.8152240934977426x + 2y = 8 1x + 3y = 9 FINAL:
0.635212
0.635212
linear_system
1
sinusoid
1
4
0
28
3.8
Solve this system for x: 3.8x + 2y = 8 1x + 3y = 9 FINAL:
0.638298
0.638298
linear_system
1
sinusoid
1
4
0
29
3.815224
Solve this system for x: 3.8152240934977426x + 2y = 8 1x + 3y = 9 FINAL:
0.635212
0.635212
linear_system
1
sinusoid
1
4
0
30
3.858579
Solve this system for x: 3.8585786437626903x + 2y = 8 1x + 3y = 9 FINAL:
0.626584
0.626584
linear_system
1
sinusoid
1
4
0
31
3.923463
Solve this system for x: 3.923463313526982x + 2y = 8 1x + 3y = 9 FINAL:
0.6141
0.6141