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
0
sinusoid
1
2
0
56
3.8
Solve this system for x: 3.8x + 1y = 7 1x + 5y = 11 FINAL:
1.333333
1.333333
linear_system
0
sinusoid
1
2
0
57
3.803843
Solve this system for x: 3.8038429439193537x + 1y = 7 1x + 5y = 11 FINAL:
1.331912
1.331912
linear_system
0
sinusoid
1
2
0
58
3.815224
Solve this system for x: 3.8152240934977426x + 1y = 7 1x + 5y = 11 FINAL:
1.327719
1.327719
linear_system
0
sinusoid
1
2
0
59
3.833706
Solve this system for x: 3.8337060775394907x + 1y = 7 1x + 5y = 11 FINAL:
1.320965
1.320965
linear_system
0
sinusoid
1
2
0
60
3.858579
Solve this system for x: 3.8585786437626903x + 1y = 7 1x + 5y = 11 FINAL:
1.311985
1.311985
linear_system
0
sinusoid
1
2
0
61
3.888886
Solve this system for x: 3.8888859533960796x + 1y = 7 1x + 5y = 11 FINAL:
1.301206
1.301206
linear_system
0
sinusoid
1
2
0
62
3.923463
Solve this system for x: 3.923463313526982x + 1y = 7 1x + 5y = 11 FINAL:
1.289122
1.289122
linear_system
0
sinusoid
1
2
0
63
3.960982
Solve this system for x: 3.9609819355967746x + 1y = 7 1x + 5y = 11 FINAL:
1.276262
1.276262
linear_system
0
sinusoid
1
4
0
0
4
Solve this system for x: 4.0x + 1y = 7 1x + 5y = 11 FINAL:
1.263158
1.263158
linear_system
0
sinusoid
1
4
0
1
4.076537
Solve this system for x: 4.076536686473018x + 1y = 7 1x + 5y = 11 FINAL:
1.238219
1.238219
linear_system
0
sinusoid
1
4
0
2
4.141421
Solve this system for x: 4.141421356237309x + 1y = 7 1x + 5y = 11 FINAL:
1.217835
1.217835
linear_system
0
sinusoid
1
4
0
3
4.184776
Solve this system for x: 4.184775906502257x + 1y = 7 1x + 5y = 11 FINAL:
1.204585
1.204585
linear_system
0
sinusoid
1
4
0
4
4.2
Solve this system for x: 4.2x + 1y = 7 1x + 5y = 11 FINAL:
1.2
1.2
linear_system
0
sinusoid
1
4
0
5
4.184776
Solve this system for x: 4.184775906502257x + 1y = 7 1x + 5y = 11 FINAL:
1.204585
1.204585
linear_system
0
sinusoid
1
4
0
6
4.141421
Solve this system for x: 4.141421356237309x + 1y = 7 1x + 5y = 11 FINAL:
1.217835
1.217835
linear_system
0
sinusoid
1
4
0
7
4.076537
Solve this system for x: 4.076536686473018x + 1y = 7 1x + 5y = 11 FINAL:
1.238219
1.238219
linear_system
0
sinusoid
1
4
0
8
4
Solve this system for x: 4.0x + 1y = 7 1x + 5y = 11 FINAL:
1.263158
1.263158
linear_system
0
sinusoid
1
4
0
9
3.923463
Solve this system for x: 3.923463313526982x + 1y = 7 1x + 5y = 11 FINAL:
1.289122
1.289122
linear_system
0
sinusoid
1
4
0
10
3.858579
Solve this system for x: 3.8585786437626903x + 1y = 7 1x + 5y = 11 FINAL:
1.311985
1.311985
linear_system
0
sinusoid
1
4
0
11
3.815224
Solve this system for x: 3.8152240934977426x + 1y = 7 1x + 5y = 11 FINAL:
1.327719
1.327719
linear_system
0
sinusoid
1
4
0
12
3.8
Solve this system for x: 3.8x + 1y = 7 1x + 5y = 11 FINAL:
1.333333
1.333333
linear_system
0
sinusoid
1
4
0
13
3.815224
Solve this system for x: 3.8152240934977426x + 1y = 7 1x + 5y = 11 FINAL:
1.327719
1.327719
linear_system
0
sinusoid
1
4
0
14
3.858579
Solve this system for x: 3.8585786437626903x + 1y = 7 1x + 5y = 11 FINAL:
1.311985
1.311985
linear_system
0
sinusoid
1
4
0
15
3.923463
Solve this system for x: 3.923463313526982x + 1y = 7 1x + 5y = 11 FINAL:
1.289122
1.289122
linear_system
0
sinusoid
1
4
0
16
4
Solve this system for x: 4.0x + 1y = 7 1x + 5y = 11 FINAL:
1.263158
1.263158
linear_system
0
sinusoid
1
4
0
17
4.076537
Solve this system for x: 4.076536686473018x + 1y = 7 1x + 5y = 11 FINAL:
1.238219
1.238219
linear_system
0
sinusoid
1
4
0
18
4.141421
Solve this system for x: 4.141421356237309x + 1y = 7 1x + 5y = 11 FINAL:
1.217835
1.217835
linear_system
0
sinusoid
1
4
0
19
4.184776
Solve this system for x: 4.184775906502257x + 1y = 7 1x + 5y = 11 FINAL:
1.204585
1.204585
linear_system
0
sinusoid
1
4
0
20
4.2
Solve this system for x: 4.2x + 1y = 7 1x + 5y = 11 FINAL:
1.2
1.2
linear_system
0
sinusoid
1
4
0
21
4.184776
Solve this system for x: 4.184775906502257x + 1y = 7 1x + 5y = 11 FINAL:
1.204585
1.204585
linear_system
0
sinusoid
1
4
0
22
4.141421
Solve this system for x: 4.14142135623731x + 1y = 7 1x + 5y = 11 FINAL:
1.217835
1.217835
linear_system
0
sinusoid
1
4
0
23
4.076537
Solve this system for x: 4.076536686473018x + 1y = 7 1x + 5y = 11 FINAL:
1.238219
1.238219
linear_system
0
sinusoid
1
4
0
24
4
Solve this system for x: 4.0x + 1y = 7 1x + 5y = 11 FINAL:
1.263158
1.263158
linear_system
0
sinusoid
1
4
0
25
3.923463
Solve this system for x: 3.923463313526982x + 1y = 7 1x + 5y = 11 FINAL:
1.289122
1.289122
linear_system
0
sinusoid
1
4
0
26
3.858579
Solve this system for x: 3.8585786437626903x + 1y = 7 1x + 5y = 11 FINAL:
1.311985
1.311985
linear_system
0
sinusoid
1
4
0
27
3.815224
Solve this system for x: 3.8152240934977426x + 1y = 7 1x + 5y = 11 FINAL:
1.327719
1.327719
linear_system
0
sinusoid
1
4
0
28
3.8
Solve this system for x: 3.8x + 1y = 7 1x + 5y = 11 FINAL:
1.333333
1.333333
linear_system
0
sinusoid
1
4
0
29
3.815224
Solve this system for x: 3.8152240934977426x + 1y = 7 1x + 5y = 11 FINAL:
1.327719
1.327719
linear_system
0
sinusoid
1
4
0
30
3.858579
Solve this system for x: 3.8585786437626903x + 1y = 7 1x + 5y = 11 FINAL:
1.311985
1.311985
linear_system
0
sinusoid
1
4
0
31
3.923463
Solve this system for x: 3.923463313526982x + 1y = 7 1x + 5y = 11 FINAL:
1.289122
1.289122
linear_system
0
sinusoid
1
4
0
32
4
Solve this system for x: 4.0x + 1y = 7 1x + 5y = 11 FINAL:
1.263158
1.263158
linear_system
0
sinusoid
1
4
0
33
4.076537
Solve this system for x: 4.076536686473018x + 1y = 7 1x + 5y = 11 FINAL:
1.238219
1.238219
linear_system
0
sinusoid
1
4
0
34
4.141421
Solve this system for x: 4.141421356237309x + 1y = 7 1x + 5y = 11 FINAL:
1.217835
1.217835
linear_system
0
sinusoid
1
4
0
35
4.184776
Solve this system for x: 4.184775906502257x + 1y = 7 1x + 5y = 11 FINAL:
1.204585
1.204585
linear_system
0
sinusoid
1
4
0
36
4.2
Solve this system for x: 4.2x + 1y = 7 1x + 5y = 11 FINAL:
1.2
1.2
linear_system
0
sinusoid
1
4
0
37
4.184776
Solve this system for x: 4.184775906502257x + 1y = 7 1x + 5y = 11 FINAL:
1.204585
1.204585
linear_system
0
sinusoid
1
4
0
38
4.141421
Solve this system for x: 4.14142135623731x + 1y = 7 1x + 5y = 11 FINAL:
1.217835
1.217835
linear_system
0
sinusoid
1
4
0
39
4.076537
Solve this system for x: 4.076536686473018x + 1y = 7 1x + 5y = 11 FINAL:
1.238219
1.238219
linear_system
0
sinusoid
1
4
0
40
4
Solve this system for x: 4.0x + 1y = 7 1x + 5y = 11 FINAL:
1.263158
1.263158
linear_system
0
sinusoid
1
4
0
41
3.923463
Solve this system for x: 3.9234633135269825x + 1y = 7 1x + 5y = 11 FINAL:
1.289122
1.289122
linear_system
0
sinusoid
1
4
0
42
3.858579
Solve this system for x: 3.8585786437626903x + 1y = 7 1x + 5y = 11 FINAL:
1.311985
1.311985
linear_system
0
sinusoid
1
4
0
43
3.815224
Solve this system for x: 3.8152240934977426x + 1y = 7 1x + 5y = 11 FINAL:
1.327719
1.327719
linear_system
0
sinusoid
1
4
0
44
3.8
Solve this system for x: 3.8x + 1y = 7 1x + 5y = 11 FINAL:
1.333333
1.333333
linear_system
0
sinusoid
1
4
0
45
3.815224
Solve this system for x: 3.8152240934977426x + 1y = 7 1x + 5y = 11 FINAL:
1.327719
1.327719
linear_system
0
sinusoid
1
4
0
46
3.858579
Solve this system for x: 3.8585786437626903x + 1y = 7 1x + 5y = 11 FINAL:
1.311985
1.311985
linear_system
0
sinusoid
1
4
0
47
3.923463
Solve this system for x: 3.923463313526982x + 1y = 7 1x + 5y = 11 FINAL:
1.289122
1.289122
linear_system
0
sinusoid
1
4
0
48
4
Solve this system for x: 4.0x + 1y = 7 1x + 5y = 11 FINAL:
1.263158
1.263158
linear_system
0
sinusoid
1
4
0
49
4.076537
Solve this system for x: 4.076536686473018x + 1y = 7 1x + 5y = 11 FINAL:
1.238219
1.238219
linear_system
0
sinusoid
1
4
0
50
4.141421
Solve this system for x: 4.141421356237309x + 1y = 7 1x + 5y = 11 FINAL:
1.217835
1.217835
linear_system
0
sinusoid
1
4
0
51
4.184776
Solve this system for x: 4.184775906502257x + 1y = 7 1x + 5y = 11 FINAL:
1.204585
1.204585
linear_system
0
sinusoid
1
4
0
52
4.2
Solve this system for x: 4.2x + 1y = 7 1x + 5y = 11 FINAL:
1.2
1.2
linear_system
0
sinusoid
1
4
0
53
4.184776
Solve this system for x: 4.184775906502257x + 1y = 7 1x + 5y = 11 FINAL:
1.204585
1.204585
linear_system
0
sinusoid
1
4
0
54
4.141421
Solve this system for x: 4.14142135623731x + 1y = 7 1x + 5y = 11 FINAL:
1.217835
1.217835
linear_system
0
sinusoid
1
4
0
55
4.076537
Solve this system for x: 4.076536686473018x + 1y = 7 1x + 5y = 11 FINAL:
1.238219
1.238219
linear_system
0
sinusoid
1
4
0
56
4
Solve this system for x: 4.0x + 1y = 7 1x + 5y = 11 FINAL:
1.263158
1.263158
linear_system
0
sinusoid
1
4
0
57
3.923463
Solve this system for x: 3.9234633135269825x + 1y = 7 1x + 5y = 11 FINAL:
1.289122
1.289122
linear_system
0
sinusoid
1
4
0
58
3.858579
Solve this system for x: 3.8585786437626903x + 1y = 7 1x + 5y = 11 FINAL:
1.311985
1.311985
linear_system
0
sinusoid
1
4
0
59
3.815224
Solve this system for x: 3.8152240934977426x + 1y = 7 1x + 5y = 11 FINAL:
1.327719
1.327719
linear_system
0
sinusoid
1
4
0
60
3.8
Solve this system for x: 3.8x + 1y = 7 1x + 5y = 11 FINAL:
1.333333
1.333333
linear_system
0
sinusoid
1
4
0
61
3.815224
Solve this system for x: 3.8152240934977426x + 1y = 7 1x + 5y = 11 FINAL:
1.327719
1.327719
linear_system
0
sinusoid
1
4
0
62
3.858579
Solve this system for x: 3.8585786437626903x + 1y = 7 1x + 5y = 11 FINAL:
1.311985
1.311985
linear_system
0
sinusoid
1
4
0
63
3.923463
Solve this system for x: 3.923463313526982x + 1y = 7 1x + 5y = 11 FINAL:
1.289122
1.289122
linear_system
0
sinusoid
1
8
0
0
4
Solve this system for x: 4.0x + 1y = 7 1x + 5y = 11 FINAL:
1.263158
1.263158
linear_system
0
sinusoid
1
8
0
1
4.141421
Solve this system for x: 4.141421356237309x + 1y = 7 1x + 5y = 11 FINAL:
1.217835
1.217835
linear_system
0
sinusoid
1
8
0
2
4.2
Solve this system for x: 4.2x + 1y = 7 1x + 5y = 11 FINAL:
1.2
1.2
linear_system
0
sinusoid
1
8
0
3
4.141421
Solve this system for x: 4.141421356237309x + 1y = 7 1x + 5y = 11 FINAL:
1.217835
1.217835
linear_system
0
sinusoid
1
8
0
4
4
Solve this system for x: 4.0x + 1y = 7 1x + 5y = 11 FINAL:
1.263158
1.263158
linear_system
0
sinusoid
1
8
0
5
3.858579
Solve this system for x: 3.8585786437626903x + 1y = 7 1x + 5y = 11 FINAL:
1.311985
1.311985
linear_system
0
sinusoid
1
8
0
6
3.8
Solve this system for x: 3.8x + 1y = 7 1x + 5y = 11 FINAL:
1.333333
1.333333
linear_system
0
sinusoid
1
8
0
7
3.858579
Solve this system for x: 3.8585786437626903x + 1y = 7 1x + 5y = 11 FINAL:
1.311985
1.311985
linear_system
0
sinusoid
1
8
0
8
4
Solve this system for x: 4.0x + 1y = 7 1x + 5y = 11 FINAL:
1.263158
1.263158
linear_system
0
sinusoid
1
8
0
9
4.141421
Solve this system for x: 4.141421356237309x + 1y = 7 1x + 5y = 11 FINAL:
1.217835
1.217835
linear_system
0
sinusoid
1
8
0
10
4.2
Solve this system for x: 4.2x + 1y = 7 1x + 5y = 11 FINAL:
1.2
1.2
linear_system
0
sinusoid
1
8
0
11
4.141421
Solve this system for x: 4.14142135623731x + 1y = 7 1x + 5y = 11 FINAL:
1.217835
1.217835
linear_system
0
sinusoid
1
8
0
12
4
Solve this system for x: 4.0x + 1y = 7 1x + 5y = 11 FINAL:
1.263158
1.263158
linear_system
0
sinusoid
1
8
0
13
3.858579
Solve this system for x: 3.8585786437626903x + 1y = 7 1x + 5y = 11 FINAL:
1.311985
1.311985
linear_system
0
sinusoid
1
8
0
14
3.8
Solve this system for x: 3.8x + 1y = 7 1x + 5y = 11 FINAL:
1.333333
1.333333
linear_system
0
sinusoid
1
8
0
15
3.858579
Solve this system for x: 3.8585786437626903x + 1y = 7 1x + 5y = 11 FINAL:
1.311985
1.311985
linear_system
0
sinusoid
1
8
0
16
4
Solve this system for x: 4.0x + 1y = 7 1x + 5y = 11 FINAL:
1.263158
1.263158
linear_system
0
sinusoid
1
8
0
17
4.141421
Solve this system for x: 4.141421356237309x + 1y = 7 1x + 5y = 11 FINAL:
1.217835
1.217835
linear_system
0
sinusoid
1
8
0
18
4.2
Solve this system for x: 4.2x + 1y = 7 1x + 5y = 11 FINAL:
1.2
1.2
linear_system
0
sinusoid
1
8
0
19
4.141421
Solve this system for x: 4.14142135623731x + 1y = 7 1x + 5y = 11 FINAL:
1.217835
1.217835
linear_system
0
sinusoid
1
8
0
20
4
Solve this system for x: 4.0x + 1y = 7 1x + 5y = 11 FINAL:
1.263158
1.263158
linear_system
0
sinusoid
1
8
0
21
3.858579
Solve this system for x: 3.8585786437626903x + 1y = 7 1x + 5y = 11 FINAL:
1.311985
1.311985
linear_system
0
sinusoid
1
8
0
22
3.8
Solve this system for x: 3.8x + 1y = 7 1x + 5y = 11 FINAL:
1.333333
1.333333
linear_system
0
sinusoid
1
8
0
23
3.858579
Solve this system for x: 3.8585786437626903x + 1y = 7 1x + 5y = 11 FINAL:
1.311985
1.311985
linear_system
0
sinusoid
1
8
0
24
4
Solve this system for x: 4.0x + 1y = 7 1x + 5y = 11 FINAL:
1.263158
1.263158
linear_system
0
sinusoid
1
8
0
25
4.141421
Solve this system for x: 4.141421356237309x + 1y = 7 1x + 5y = 11 FINAL:
1.217835
1.217835
linear_system
0
sinusoid
1
8
0
26
4.2
Solve this system for x: 4.2x + 1y = 7 1x + 5y = 11 FINAL:
1.2
1.2
linear_system
0
sinusoid
1
8
0
27
4.141421
Solve this system for x: 4.14142135623731x + 1y = 7 1x + 5y = 11 FINAL:
1.217835
1.217835