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
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prompt
stringlengths
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ground_truth
float64
0.52
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symbolic_baseline_answer
float64
0.52
2.33
linear_system
0
sinusoid
1
1
0
20
4.184776
Solve this system for x: 4.184775906502257x + 1y = 7 1x + 5y = 11 FINAL:
1.204585
1.204585
linear_system
0
sinusoid
1
1
0
21
4.176384
Solve this system for x: 4.176384252869671x + 1y = 7 1x + 5y = 11 FINAL:
1.207127
1.207127
linear_system
0
sinusoid
1
1
0
22
4.166294
Solve this system for x: 4.166293922460509x + 1y = 7 1x + 5y = 11 FINAL:
1.210198
1.210198
linear_system
0
sinusoid
1
1
0
23
4.154602
Solve this system for x: 4.154602090672547x + 1y = 7 1x + 5y = 11 FINAL:
1.213776
1.213776
linear_system
0
sinusoid
1
1
0
24
4.141421
Solve this system for x: 4.141421356237309x + 1y = 7 1x + 5y = 11 FINAL:
1.217835
1.217835
linear_system
0
sinusoid
1
1
0
25
4.126879
Solve this system for x: 4.126878656832729x + 1y = 7 1x + 5y = 11 FINAL:
1.222345
1.222345
linear_system
0
sinusoid
1
1
0
26
4.111114
Solve this system for x: 4.11111404660392x + 1y = 7 1x + 5y = 11 FINAL:
1.227272
1.227272
linear_system
0
sinusoid
1
1
0
27
4.094279
Solve this system for x: 4.0942793473652x + 1y = 7 1x + 5y = 11 FINAL:
1.232577
1.232577
linear_system
0
sinusoid
1
1
0
28
4.076537
Solve this system for x: 4.076536686473018x + 1y = 7 1x + 5y = 11 FINAL:
1.238219
1.238219
linear_system
0
sinusoid
1
1
0
29
4.058057
Solve this system for x: 4.058056935450892x + 1y = 7 1x + 5y = 11 FINAL:
1.24415
1.24415
linear_system
0
sinusoid
1
1
0
30
4.039018
Solve this system for x: 4.039018064403225x + 1y = 7 1x + 5y = 11 FINAL:
1.25032
1.25032
linear_system
0
sinusoid
1
1
0
31
4.019603
Solve this system for x: 4.0196034280659125x + 1y = 7 1x + 5y = 11 FINAL:
1.256675
1.256675
linear_system
0
sinusoid
1
1
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
1
0
33
3.980397
Solve this system for x: 3.980396571934088x + 1y = 7 1x + 5y = 11 FINAL:
1.269708
1.269708
linear_system
0
sinusoid
1
1
0
34
3.960982
Solve this system for x: 3.960981935596774x + 1y = 7 1x + 5y = 11 FINAL:
1.276262
1.276262
linear_system
0
sinusoid
1
1
0
35
3.941943
Solve this system for x: 3.9419430645491076x + 1y = 7 1x + 5y = 11 FINAL:
1.282756
1.282756
linear_system
0
sinusoid
1
1
0
36
3.923463
Solve this system for x: 3.923463313526982x + 1y = 7 1x + 5y = 11 FINAL:
1.289122
1.289122
linear_system
0
sinusoid
1
1
0
37
3.905721
Solve this system for x: 3.9057206526348005x + 1y = 7 1x + 5y = 11 FINAL:
1.295295
1.295295
linear_system
0
sinusoid
1
1
0
38
3.888886
Solve this system for x: 3.8888859533960796x + 1y = 7 1x + 5y = 11 FINAL:
1.301206
1.301206
linear_system
0
sinusoid
1
1
0
39
3.873121
Solve this system for x: 3.873121343167271x + 1y = 7 1x + 5y = 11 FINAL:
1.30679
1.30679
linear_system
0
sinusoid
1
1
0
40
3.858579
Solve this system for x: 3.8585786437626903x + 1y = 7 1x + 5y = 11 FINAL:
1.311985
1.311985
linear_system
0
sinusoid
1
1
0
41
3.845398
Solve this system for x: 3.8453979093274526x + 1y = 7 1x + 5y = 11 FINAL:
1.316729
1.316729
linear_system
0
sinusoid
1
1
0
42
3.833706
Solve this system for x: 3.833706077539491x + 1y = 7 1x + 5y = 11 FINAL:
1.320965
1.320965
linear_system
0
sinusoid
1
1
0
43
3.823616
Solve this system for x: 3.823615747130329x + 1y = 7 1x + 5y = 11 FINAL:
1.324644
1.324644
linear_system
0
sinusoid
1
1
0
44
3.815224
Solve this system for x: 3.8152240934977426x + 1y = 7 1x + 5y = 11 FINAL:
1.327719
1.327719
linear_system
0
sinusoid
1
1
0
45
3.808612
Solve this system for x: 3.8086119328535584x + 1y = 7 1x + 5y = 11 FINAL:
1.330151
1.330151
linear_system
0
sinusoid
1
1
0
46
3.803843
Solve this system for x: 3.8038429439193537x + 1y = 7 1x + 5y = 11 FINAL:
1.331912
1.331912
linear_system
0
sinusoid
1
1
0
47
3.800963
Solve this system for x: 3.8009630546655604x + 1y = 7 1x + 5y = 11 FINAL:
1.332977
1.332977
linear_system
0
sinusoid
1
1
0
48
3.8
Solve this system for x: 3.8x + 1y = 7 1x + 5y = 11 FINAL:
1.333333
1.333333
linear_system
0
sinusoid
1
1
0
49
3.800963
Solve this system for x: 3.8009630546655604x + 1y = 7 1x + 5y = 11 FINAL:
1.332977
1.332977
linear_system
0
sinusoid
1
1
0
50
3.803843
Solve this system for x: 3.8038429439193537x + 1y = 7 1x + 5y = 11 FINAL:
1.331912
1.331912
linear_system
0
sinusoid
1
1
0
51
3.808612
Solve this system for x: 3.8086119328535584x + 1y = 7 1x + 5y = 11 FINAL:
1.330151
1.330151
linear_system
0
sinusoid
1
1
0
52
3.815224
Solve this system for x: 3.8152240934977426x + 1y = 7 1x + 5y = 11 FINAL:
1.327719
1.327719
linear_system
0
sinusoid
1
1
0
53
3.823616
Solve this system for x: 3.823615747130329x + 1y = 7 1x + 5y = 11 FINAL:
1.324644
1.324644
linear_system
0
sinusoid
1
1
0
54
3.833706
Solve this system for x: 3.8337060775394907x + 1y = 7 1x + 5y = 11 FINAL:
1.320965
1.320965
linear_system
0
sinusoid
1
1
0
55
3.845398
Solve this system for x: 3.8453979093274526x + 1y = 7 1x + 5y = 11 FINAL:
1.316729
1.316729
linear_system
0
sinusoid
1
1
0
56
3.858579
Solve this system for x: 3.8585786437626903x + 1y = 7 1x + 5y = 11 FINAL:
1.311985
1.311985
linear_system
0
sinusoid
1
1
0
57
3.873121
Solve this system for x: 3.873121343167271x + 1y = 7 1x + 5y = 11 FINAL:
1.30679
1.30679
linear_system
0
sinusoid
1
1
0
58
3.888886
Solve this system for x: 3.8888859533960796x + 1y = 7 1x + 5y = 11 FINAL:
1.301206
1.301206
linear_system
0
sinusoid
1
1
0
59
3.905721
Solve this system for x: 3.9057206526348005x + 1y = 7 1x + 5y = 11 FINAL:
1.295295
1.295295
linear_system
0
sinusoid
1
1
0
60
3.923463
Solve this system for x: 3.923463313526982x + 1y = 7 1x + 5y = 11 FINAL:
1.289122
1.289122
linear_system
0
sinusoid
1
1
0
61
3.941943
Solve this system for x: 3.9419430645491076x + 1y = 7 1x + 5y = 11 FINAL:
1.282756
1.282756
linear_system
0
sinusoid
1
1
0
62
3.960982
Solve this system for x: 3.960981935596774x + 1y = 7 1x + 5y = 11 FINAL:
1.276262
1.276262
linear_system
0
sinusoid
1
1
0
63
3.980397
Solve this system for x: 3.980396571934088x + 1y = 7 1x + 5y = 11 FINAL:
1.269708
1.269708
linear_system
0
sinusoid
1
2
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
2
0
1
4.039018
Solve this system for x: 4.039018064403225x + 1y = 7 1x + 5y = 11 FINAL:
1.25032
1.25032
linear_system
0
sinusoid
1
2
0
2
4.076537
Solve this system for x: 4.076536686473018x + 1y = 7 1x + 5y = 11 FINAL:
1.238219
1.238219
linear_system
0
sinusoid
1
2
0
3
4.111114
Solve this system for x: 4.11111404660392x + 1y = 7 1x + 5y = 11 FINAL:
1.227272
1.227272
linear_system
0
sinusoid
1
2
0
4
4.141421
Solve this system for x: 4.141421356237309x + 1y = 7 1x + 5y = 11 FINAL:
1.217835
1.217835
linear_system
0
sinusoid
1
2
0
5
4.166294
Solve this system for x: 4.166293922460509x + 1y = 7 1x + 5y = 11 FINAL:
1.210198
1.210198
linear_system
0
sinusoid
1
2
0
6
4.184776
Solve this system for x: 4.184775906502257x + 1y = 7 1x + 5y = 11 FINAL:
1.204585
1.204585
linear_system
0
sinusoid
1
2
0
7
4.196157
Solve this system for x: 4.196157056080646x + 1y = 7 1x + 5y = 11 FINAL:
1.201154
1.201154
linear_system
0
sinusoid
1
2
0
8
4.2
Solve this system for x: 4.2x + 1y = 7 1x + 5y = 11 FINAL:
1.2
1.2
linear_system
0
sinusoid
1
2
0
9
4.196157
Solve this system for x: 4.196157056080646x + 1y = 7 1x + 5y = 11 FINAL:
1.201154
1.201154
linear_system
0
sinusoid
1
2
0
10
4.184776
Solve this system for x: 4.184775906502257x + 1y = 7 1x + 5y = 11 FINAL:
1.204585
1.204585
linear_system
0
sinusoid
1
2
0
11
4.166294
Solve this system for x: 4.166293922460509x + 1y = 7 1x + 5y = 11 FINAL:
1.210198
1.210198
linear_system
0
sinusoid
1
2
0
12
4.141421
Solve this system for x: 4.141421356237309x + 1y = 7 1x + 5y = 11 FINAL:
1.217835
1.217835
linear_system
0
sinusoid
1
2
0
13
4.111114
Solve this system for x: 4.11111404660392x + 1y = 7 1x + 5y = 11 FINAL:
1.227272
1.227272
linear_system
0
sinusoid
1
2
0
14
4.076537
Solve this system for x: 4.076536686473018x + 1y = 7 1x + 5y = 11 FINAL:
1.238219
1.238219
linear_system
0
sinusoid
1
2
0
15
4.039018
Solve this system for x: 4.039018064403225x + 1y = 7 1x + 5y = 11 FINAL:
1.25032
1.25032
linear_system
0
sinusoid
1
2
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
2
0
17
3.960982
Solve this system for x: 3.960981935596774x + 1y = 7 1x + 5y = 11 FINAL:
1.276262
1.276262
linear_system
0
sinusoid
1
2
0
18
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
19
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
20
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
21
3.833706
Solve this system for x: 3.833706077539491x + 1y = 7 1x + 5y = 11 FINAL:
1.320965
1.320965
linear_system
0
sinusoid
1
2
0
22
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
23
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
24
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
25
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
26
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
27
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
28
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
29
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
30
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
31
3.960982
Solve this system for x: 3.960981935596774x + 1y = 7 1x + 5y = 11 FINAL:
1.276262
1.276262
linear_system
0
sinusoid
1
2
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
2
0
33
4.039018
Solve this system for x: 4.039018064403225x + 1y = 7 1x + 5y = 11 FINAL:
1.25032
1.25032
linear_system
0
sinusoid
1
2
0
34
4.076537
Solve this system for x: 4.076536686473018x + 1y = 7 1x + 5y = 11 FINAL:
1.238219
1.238219
linear_system
0
sinusoid
1
2
0
35
4.111114
Solve this system for x: 4.11111404660392x + 1y = 7 1x + 5y = 11 FINAL:
1.227272
1.227272
linear_system
0
sinusoid
1
2
0
36
4.141421
Solve this system for x: 4.141421356237309x + 1y = 7 1x + 5y = 11 FINAL:
1.217835
1.217835
linear_system
0
sinusoid
1
2
0
37
4.166294
Solve this system for x: 4.166293922460509x + 1y = 7 1x + 5y = 11 FINAL:
1.210198
1.210198
linear_system
0
sinusoid
1
2
0
38
4.184776
Solve this system for x: 4.184775906502257x + 1y = 7 1x + 5y = 11 FINAL:
1.204585
1.204585
linear_system
0
sinusoid
1
2
0
39
4.196157
Solve this system for x: 4.196157056080646x + 1y = 7 1x + 5y = 11 FINAL:
1.201154
1.201154
linear_system
0
sinusoid
1
2
0
40
4.2
Solve this system for x: 4.2x + 1y = 7 1x + 5y = 11 FINAL:
1.2
1.2
linear_system
0
sinusoid
1
2
0
41
4.196157
Solve this system for x: 4.196157056080646x + 1y = 7 1x + 5y = 11 FINAL:
1.201154
1.201154
linear_system
0
sinusoid
1
2
0
42
4.184776
Solve this system for x: 4.184775906502257x + 1y = 7 1x + 5y = 11 FINAL:
1.204585
1.204585
linear_system
0
sinusoid
1
2
0
43
4.166294
Solve this system for x: 4.166293922460509x + 1y = 7 1x + 5y = 11 FINAL:
1.210198
1.210198
linear_system
0
sinusoid
1
2
0
44
4.141421
Solve this system for x: 4.14142135623731x + 1y = 7 1x + 5y = 11 FINAL:
1.217835
1.217835
linear_system
0
sinusoid
1
2
0
45
4.111114
Solve this system for x: 4.11111404660392x + 1y = 7 1x + 5y = 11 FINAL:
1.227272
1.227272
linear_system
0
sinusoid
1
2
0
46
4.076537
Solve this system for x: 4.076536686473018x + 1y = 7 1x + 5y = 11 FINAL:
1.238219
1.238219
linear_system
0
sinusoid
1
2
0
47
4.039018
Solve this system for x: 4.039018064403225x + 1y = 7 1x + 5y = 11 FINAL:
1.25032
1.25032
linear_system
0
sinusoid
1
2
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
2
0
49
3.960982
Solve this system for x: 3.9609819355967746x + 1y = 7 1x + 5y = 11 FINAL:
1.276262
1.276262
linear_system
0
sinusoid
1
2
0
50
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
51
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
52
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
53
3.833706
Solve this system for x: 3.833706077539491x + 1y = 7 1x + 5y = 11 FINAL:
1.320965
1.320965
linear_system
0
sinusoid
1
2
0
54
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
55
3.803843
Solve this system for x: 3.8038429439193537x + 1y = 7 1x + 5y = 11 FINAL:
1.331912
1.331912