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
16
240
24
3.826795
Solve this system for x: 3.8267949192431123x + 1y = 7 1x + 5y = 11 FINAL:
1.323483
1.323483
linear_system
0
sinusoid
1
16
240
25
3.9
Solve this system for x: 3.9000000000000004x + 1y = 7 1x + 5y = 11 FINAL:
1.297297
1.297297
linear_system
0
sinusoid
1
16
240
26
4.173205
Solve this system for x: 4.173205080756889x + 1y = 7 1x + 5y = 11 FINAL:
1.208093
1.208093
linear_system
0
sinusoid
1
16
240
27
4.1
Solve this system for x: 4.1000000000000005x + 1y = 7 1x + 5y = 11 FINAL:
1.230769
1.230769
linear_system
0
sinusoid
1
16
240
28
3.826795
Solve this system for x: 3.8267949192431123x + 1y = 7 1x + 5y = 11 FINAL:
1.323483
1.323483
linear_system
0
sinusoid
1
16
240
29
3.9
Solve this system for x: 3.9000000000000004x + 1y = 7 1x + 5y = 11 FINAL:
1.297297
1.297297
linear_system
0
sinusoid
1
16
240
30
4.173205
Solve this system for x: 4.173205080756888x + 1y = 7 1x + 5y = 11 FINAL:
1.208093
1.208093
linear_system
0
sinusoid
1
16
240
31
4.1
Solve this system for x: 4.1000000000000005x + 1y = 7 1x + 5y = 11 FINAL:
1.230769
1.230769
linear_system
0
sinusoid
1
16
240
32
3.826795
Solve this system for x: 3.8267949192431123x + 1y = 7 1x + 5y = 11 FINAL:
1.323483
1.323483
linear_system
0
sinusoid
1
16
240
33
3.9
Solve this system for x: 3.9000000000000004x + 1y = 7 1x + 5y = 11 FINAL:
1.297297
1.297297
linear_system
0
sinusoid
1
16
240
34
4.173205
Solve this system for x: 4.173205080756889x + 1y = 7 1x + 5y = 11 FINAL:
1.208093
1.208093
linear_system
0
sinusoid
1
16
240
35
4.1
Solve this system for x: 4.1000000000000005x + 1y = 7 1x + 5y = 11 FINAL:
1.230769
1.230769
linear_system
0
sinusoid
1
16
240
36
3.826795
Solve this system for x: 3.8267949192431123x + 1y = 7 1x + 5y = 11 FINAL:
1.323483
1.323483
linear_system
0
sinusoid
1
16
240
37
3.9
Solve this system for x: 3.9000000000000004x + 1y = 7 1x + 5y = 11 FINAL:
1.297297
1.297297
linear_system
0
sinusoid
1
16
240
38
4.173205
Solve this system for x: 4.173205080756888x + 1y = 7 1x + 5y = 11 FINAL:
1.208093
1.208093
linear_system
0
sinusoid
1
16
240
39
4.1
Solve this system for x: 4.1000000000000005x + 1y = 7 1x + 5y = 11 FINAL:
1.230769
1.230769
linear_system
0
sinusoid
1
16
240
40
3.826795
Solve this system for x: 3.826794919243113x + 1y = 7 1x + 5y = 11 FINAL:
1.323483
1.323483
linear_system
0
sinusoid
1
16
240
41
3.9
Solve this system for x: 3.8999999999999977x + 1y = 7 1x + 5y = 11 FINAL:
1.297297
1.297297
linear_system
0
sinusoid
1
16
240
42
4.173205
Solve this system for x: 4.173205080756888x + 1y = 7 1x + 5y = 11 FINAL:
1.208093
1.208093
linear_system
0
sinusoid
1
16
240
43
4.1
Solve this system for x: 4.100000000000001x + 1y = 7 1x + 5y = 11 FINAL:
1.230769
1.230769
linear_system
0
sinusoid
1
16
240
44
3.826795
Solve this system for x: 3.8267949192431137x + 1y = 7 1x + 5y = 11 FINAL:
1.323483
1.323483
linear_system
0
sinusoid
1
16
240
45
3.9
Solve this system for x: 3.899999999999999x + 1y = 7 1x + 5y = 11 FINAL:
1.297297
1.297297
linear_system
0
sinusoid
1
16
240
46
4.173205
Solve this system for x: 4.173205080756887x + 1y = 7 1x + 5y = 11 FINAL:
1.208093
1.208093
linear_system
0
sinusoid
1
16
240
47
4.1
Solve this system for x: 4.1000000000000005x + 1y = 7 1x + 5y = 11 FINAL:
1.230769
1.230769
linear_system
0
sinusoid
1
16
240
48
3.826795
Solve this system for x: 3.826794919243113x + 1y = 7 1x + 5y = 11 FINAL:
1.323483
1.323483
linear_system
0
sinusoid
1
16
240
49
3.9
Solve this system for x: 3.8999999999999977x + 1y = 7 1x + 5y = 11 FINAL:
1.297297
1.297297
linear_system
0
sinusoid
1
16
240
50
4.173205
Solve this system for x: 4.173205080756888x + 1y = 7 1x + 5y = 11 FINAL:
1.208093
1.208093
linear_system
0
sinusoid
1
16
240
51
4.1
Solve this system for x: 4.100000000000001x + 1y = 7 1x + 5y = 11 FINAL:
1.230769
1.230769
linear_system
0
sinusoid
1
16
240
52
3.826795
Solve this system for x: 3.8267949192431123x + 1y = 7 1x + 5y = 11 FINAL:
1.323483
1.323483
linear_system
0
sinusoid
1
16
240
53
3.9
Solve this system for x: 3.899999999999999x + 1y = 7 1x + 5y = 11 FINAL:
1.297297
1.297297
linear_system
0
sinusoid
1
16
240
54
4.173205
Solve this system for x: 4.173205080756887x + 1y = 7 1x + 5y = 11 FINAL:
1.208093
1.208093
linear_system
0
sinusoid
1
16
240
55
4.1
Solve this system for x: 4.1000000000000005x + 1y = 7 1x + 5y = 11 FINAL:
1.230769
1.230769
linear_system
0
sinusoid
1
16
240
56
3.826795
Solve this system for x: 3.826794919243113x + 1y = 7 1x + 5y = 11 FINAL:
1.323483
1.323483
linear_system
0
sinusoid
1
16
240
57
3.9
Solve this system for x: 3.8999999999999977x + 1y = 7 1x + 5y = 11 FINAL:
1.297297
1.297297
linear_system
0
sinusoid
1
16
240
58
4.173205
Solve this system for x: 4.173205080756887x + 1y = 7 1x + 5y = 11 FINAL:
1.208093
1.208093
linear_system
0
sinusoid
1
16
240
59
4.1
Solve this system for x: 4.100000000000001x + 1y = 7 1x + 5y = 11 FINAL:
1.230769
1.230769
linear_system
0
sinusoid
1
16
240
60
3.826795
Solve this system for x: 3.8267949192431137x + 1y = 7 1x + 5y = 11 FINAL:
1.323483
1.323483
linear_system
0
sinusoid
1
16
240
61
3.9
Solve this system for x: 3.8999999999999986x + 1y = 7 1x + 5y = 11 FINAL:
1.297297
1.297297
linear_system
0
sinusoid
1
16
240
62
4.173205
Solve this system for x: 4.173205080756887x + 1y = 7 1x + 5y = 11 FINAL:
1.208093
1.208093
linear_system
0
sinusoid
1
16
240
63
4.1
Solve this system for x: 4.1000000000000005x + 1y = 7 1x + 5y = 11 FINAL:
1.230769
1.230769
linear_system
1
sinusoid
1
1
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
1
0
1
4.019603
Solve this system for x: 4.0196034280659125x + 2y = 8 1x + 3y = 9 FINAL:
0.596492
0.596492
linear_system
1
sinusoid
1
1
0
2
4.039018
Solve this system for x: 4.039018064403225x + 2y = 8 1x + 3y = 9 FINAL:
0.593058
0.593058
linear_system
1
sinusoid
1
1
0
3
4.058057
Solve this system for x: 4.058056935450892x + 2y = 8 1x + 3y = 9 FINAL:
0.589729
0.589729
linear_system
1
sinusoid
1
1
0
4
4.076537
Solve this system for x: 4.076536686473018x + 2y = 8 1x + 3y = 9 FINAL:
0.586533
0.586533
linear_system
1
sinusoid
1
1
0
5
4.094279
Solve this system for x: 4.0942793473652x + 2y = 8 1x + 3y = 9 FINAL:
0.583496
0.583496
linear_system
1
sinusoid
1
1
0
6
4.111114
Solve this system for x: 4.11111404660392x + 2y = 8 1x + 3y = 9 FINAL:
0.580645
0.580645
linear_system
1
sinusoid
1
1
0
7
4.126879
Solve this system for x: 4.126878656832729x + 2y = 8 1x + 3y = 9 FINAL:
0.577999
0.577999
linear_system
1
sinusoid
1
1
0
8
4.141421
Solve this system for x: 4.141421356237309x + 2y = 8 1x + 3y = 9 FINAL:
0.57558
0.57558
linear_system
1
sinusoid
1
1
0
9
4.154602
Solve this system for x: 4.154602090672547x + 2y = 8 1x + 3y = 9 FINAL:
0.573405
0.573405
linear_system
1
sinusoid
1
1
0
10
4.166294
Solve this system for x: 4.166293922460509x + 2y = 8 1x + 3y = 9 FINAL:
0.571489
0.571489
linear_system
1
sinusoid
1
1
0
11
4.176384
Solve this system for x: 4.176384252869671x + 2y = 8 1x + 3y = 9 FINAL:
0.569846
0.569846
linear_system
1
sinusoid
1
1
0
12
4.184776
Solve this system for x: 4.184775906502257x + 2y = 8 1x + 3y = 9 FINAL:
0.568487
0.568487
linear_system
1
sinusoid
1
1
0
13
4.191388
Solve this system for x: 4.191388067146442x + 2y = 8 1x + 3y = 9 FINAL:
0.567421
0.567421
linear_system
1
sinusoid
1
1
0
14
4.196157
Solve this system for x: 4.196157056080646x + 2y = 8 1x + 3y = 9 FINAL:
0.566654
0.566654
linear_system
1
sinusoid
1
1
0
15
4.199037
Solve this system for x: 4.19903694533444x + 2y = 8 1x + 3y = 9 FINAL:
0.566192
0.566192
linear_system
1
sinusoid
1
1
0
16
4.2
Solve this system for x: 4.2x + 2y = 8 1x + 3y = 9 FINAL:
0.566038
0.566038
linear_system
1
sinusoid
1
1
0
17
4.199037
Solve this system for x: 4.19903694533444x + 2y = 8 1x + 3y = 9 FINAL:
0.566192
0.566192
linear_system
1
sinusoid
1
1
0
18
4.196157
Solve this system for x: 4.196157056080646x + 2y = 8 1x + 3y = 9 FINAL:
0.566654
0.566654
linear_system
1
sinusoid
1
1
0
19
4.191388
Solve this system for x: 4.191388067146442x + 2y = 8 1x + 3y = 9 FINAL:
0.567421
0.567421
linear_system
1
sinusoid
1
1
0
20
4.184776
Solve this system for x: 4.184775906502257x + 2y = 8 1x + 3y = 9 FINAL:
0.568487
0.568487
linear_system
1
sinusoid
1
1
0
21
4.176384
Solve this system for x: 4.176384252869671x + 2y = 8 1x + 3y = 9 FINAL:
0.569846
0.569846
linear_system
1
sinusoid
1
1
0
22
4.166294
Solve this system for x: 4.166293922460509x + 2y = 8 1x + 3y = 9 FINAL:
0.571489
0.571489
linear_system
1
sinusoid
1
1
0
23
4.154602
Solve this system for x: 4.154602090672547x + 2y = 8 1x + 3y = 9 FINAL:
0.573405
0.573405
linear_system
1
sinusoid
1
1
0
24
4.141421
Solve this system for x: 4.141421356237309x + 2y = 8 1x + 3y = 9 FINAL:
0.57558
0.57558
linear_system
1
sinusoid
1
1
0
25
4.126879
Solve this system for x: 4.126878656832729x + 2y = 8 1x + 3y = 9 FINAL:
0.577999
0.577999
linear_system
1
sinusoid
1
1
0
26
4.111114
Solve this system for x: 4.11111404660392x + 2y = 8 1x + 3y = 9 FINAL:
0.580645
0.580645
linear_system
1
sinusoid
1
1
0
27
4.094279
Solve this system for x: 4.0942793473652x + 2y = 8 1x + 3y = 9 FINAL:
0.583496
0.583496
linear_system
1
sinusoid
1
1
0
28
4.076537
Solve this system for x: 4.076536686473018x + 2y = 8 1x + 3y = 9 FINAL:
0.586533
0.586533
linear_system
1
sinusoid
1
1
0
29
4.058057
Solve this system for x: 4.058056935450892x + 2y = 8 1x + 3y = 9 FINAL:
0.589729
0.589729
linear_system
1
sinusoid
1
1
0
30
4.039018
Solve this system for x: 4.039018064403225x + 2y = 8 1x + 3y = 9 FINAL:
0.593058
0.593058
linear_system
1
sinusoid
1
1
0
31
4.019603
Solve this system for x: 4.0196034280659125x + 2y = 8 1x + 3y = 9 FINAL:
0.596492
0.596492
linear_system
1
sinusoid
1
1
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
1
0
33
3.980397
Solve this system for x: 3.980396571934088x + 2y = 8 1x + 3y = 9 FINAL:
0.603549
0.603549
linear_system
1
sinusoid
1
1
0
34
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
35
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
36
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
37
3.905721
Solve this system for x: 3.9057206526348005x + 2y = 8 1x + 3y = 9 FINAL:
0.617464
0.617464
linear_system
1
sinusoid
1
1
0
38
3.888886
Solve this system for x: 3.8888859533960796x + 2y = 8 1x + 3y = 9 FINAL:
0.62069
0.62069
linear_system
1
sinusoid
1
1
0
39
3.873121
Solve this system for x: 3.873121343167271x + 2y = 8 1x + 3y = 9 FINAL:
0.623742
0.623742
linear_system
1
sinusoid
1
1
0
40
3.858579
Solve this system for x: 3.8585786437626903x + 2y = 8 1x + 3y = 9 FINAL:
0.626584
0.626584
linear_system
1
sinusoid
1
1
0
41
3.845398
Solve this system for x: 3.8453979093274526x + 2y = 8 1x + 3y = 9 FINAL:
0.629182
0.629182
linear_system
1
sinusoid
1
1
0
42
3.833706
Solve this system for x: 3.833706077539491x + 2y = 8 1x + 3y = 9 FINAL:
0.631505
0.631505
linear_system
1
sinusoid
1
1
0
43
3.823616
Solve this system for x: 3.823615747130329x + 2y = 8 1x + 3y = 9 FINAL:
0.633523
0.633523
linear_system
1
sinusoid
1
1
0
44
3.815224
Solve this system for x: 3.8152240934977426x + 2y = 8 1x + 3y = 9 FINAL:
0.635212
0.635212
linear_system
1
sinusoid
1
1
0
45
3.808612
Solve this system for x: 3.8086119328535584x + 2y = 8 1x + 3y = 9 FINAL:
0.636548
0.636548
linear_system
1
sinusoid
1
1
0
46
3.803843
Solve this system for x: 3.8038429439193537x + 2y = 8 1x + 3y = 9 FINAL:
0.637516
0.637516
linear_system
1
sinusoid
1
1
0
47
3.800963
Solve this system for x: 3.8009630546655604x + 2y = 8 1x + 3y = 9 FINAL:
0.638102
0.638102
linear_system
1
sinusoid
1
1
0
48
3.8
Solve this system for x: 3.8x + 2y = 8 1x + 3y = 9 FINAL:
0.638298
0.638298
linear_system
1
sinusoid
1
1
0
49
3.800963
Solve this system for x: 3.8009630546655604x + 2y = 8 1x + 3y = 9 FINAL:
0.638102
0.638102
linear_system
1
sinusoid
1
1
0
50
3.803843
Solve this system for x: 3.8038429439193537x + 2y = 8 1x + 3y = 9 FINAL:
0.637516
0.637516
linear_system
1
sinusoid
1
1
0
51
3.808612
Solve this system for x: 3.8086119328535584x + 2y = 8 1x + 3y = 9 FINAL:
0.636548
0.636548
linear_system
1
sinusoid
1
1
0
52
3.815224
Solve this system for x: 3.8152240934977426x + 2y = 8 1x + 3y = 9 FINAL:
0.635212
0.635212
linear_system
1
sinusoid
1
1
0
53
3.823616
Solve this system for x: 3.823615747130329x + 2y = 8 1x + 3y = 9 FINAL:
0.633523
0.633523
linear_system
1
sinusoid
1
1
0
54
3.833706
Solve this system for x: 3.8337060775394907x + 2y = 8 1x + 3y = 9 FINAL:
0.631505
0.631505
linear_system
1
sinusoid
1
1
0
55
3.845398
Solve this system for x: 3.8453979093274526x + 2y = 8 1x + 3y = 9 FINAL:
0.629182
0.629182
linear_system
1
sinusoid
1
1
0
56
3.858579
Solve this system for x: 3.8585786437626903x + 2y = 8 1x + 3y = 9 FINAL:
0.626584
0.626584
linear_system
1
sinusoid
1
1
0
57
3.873121
Solve this system for x: 3.873121343167271x + 2y = 8 1x + 3y = 9 FINAL:
0.623742
0.623742
linear_system
1
sinusoid
1
1
0
58
3.888886
Solve this system for x: 3.8888859533960796x + 2y = 8 1x + 3y = 9 FINAL:
0.62069
0.62069
linear_system
1
sinusoid
1
1
0
59
3.905721
Solve this system for x: 3.9057206526348005x + 2y = 8 1x + 3y = 9 FINAL:
0.617464
0.617464