Datasets:
ai-metrology-lab
/
MathBode-LinearSystem

Dataset card Data Studio Files
xet
Community
1
family
stringclasses
1 value
question_id
int64
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signal_type
stringclasses
2 values
amplitude_scale
float64
0.5
2.5
frequency_cycles
float64
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16
phase_deg
float64
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240
⌀
time_step
int64
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p_value
float64
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prompt
stringlengths
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ground_truth
float64
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symbolic_baseline_answer
float64
0.52
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linear_system
1
sinusoid
1
1
240
20
3.973895
Solve this system for x: 3.9738947615559894x + 2y = 8 1x + 3y = 9 FINAL:
0.604736
0.604736
linear_system
1
sinusoid
1
1
240
21
3.993456
Solve this system for x: 3.9934561834356446x + 2y = 8 1x + 3y = 9 FINAL:
0.60118
0.60118
linear_system
1
sinusoid
1
1
240
22
4.013081
Solve this system for x: 4.013080625846029x + 2y = 8 1x + 3y = 9 FINAL:
0.597655
0.597655
linear_system
1
sinusoid
1
1
240
23
4.032579
Solve this system for x: 4.032579094678917x + 2y = 8 1x + 3y = 9 FINAL:
0.594193
0.594193
linear_system
1
sinusoid
1
1
240
24
4.051764
Solve this system for x: 4.051763809020504x + 2y = 8 1x + 3y = 9 FINAL:
0.590825
0.590825
linear_system
1
sinusoid
1
1
240
25
4.07045
Solve this system for x: 4.070450009584246x + 2y = 8 1x + 3y = 9 FINAL:
0.587581
0.587581
linear_system
1
sinusoid
1
1
240
26
4.088458
Solve this system for x: 4.0884577380438x + 2y = 8 1x + 3y = 9 FINAL:
0.584489
0.584489
linear_system
1
sinusoid
1
1
240
27
4.105614
Solve this system for x: 4.105613570130074x + 2y = 8 1x + 3y = 9 FINAL:
0.581573
0.581573
linear_system
1
sinusoid
1
1
240
28
4.121752
Solve this system for x: 4.121752285801744x + 2y = 8 1x + 3y = 9 FINAL:
0.578857
0.578857
linear_system
1
sinusoid
1
1
240
29
4.136718
Solve this system for x: 4.136718460404574x + 2y = 8 1x + 3y = 9 FINAL:
0.57636
0.57636
linear_system
1
sinusoid
1
1
240
30
4.150368
Solve this system for x: 4.150367961495795x + 2y = 8 1x + 3y = 9 FINAL:
0.574102
0.574102
linear_system
1
sinusoid
1
1
240
31
4.162569
Solve this system for x: 4.162569336918323x + 2y = 8 1x + 3y = 9 FINAL:
0.572098
0.572098
linear_system
1
sinusoid
1
1
240
32
4.173205
Solve this system for x: 4.173205080756888x + 2y = 8 1x + 3y = 9 FINAL:
0.570363
0.570363
linear_system
1
sinusoid
1
1
240
33
4.182173
Solve this system for x: 4.1821727649842355x + 2y = 8 1x + 3y = 9 FINAL:
0.568908
0.568908
linear_system
1
sinusoid
1
1
240
34
4.189386
Solve this system for x: 4.189386025899021x + 2y = 8 1x + 3y = 9 FINAL:
0.567743
0.567743
linear_system
1
sinusoid
1
1
240
35
4.194775
Solve this system for x: 4.1947753958554665x + 2y = 8 1x + 3y = 9 FINAL:
0.566876
0.566876
linear_system
1
sinusoid
1
1
240
36
4.198289
Solve this system for x: 4.198288972274762x + 2y = 8 1x + 3y = 9 FINAL:
0.566312
0.566312
linear_system
1
sinusoid
1
1
240
37
4.199893
Solve this system for x: 4.199892917495273x + 2y = 8 1x + 3y = 9 FINAL:
0.566055
0.566055
linear_system
1
sinusoid
1
1
240
38
4.199572
Solve this system for x: 4.199571784647721x + 2y = 8 1x + 3y = 9 FINAL:
0.566106
0.566106
linear_system
1
sinusoid
1
1
240
39
4.197329
Solve this system for x: 4.1973286664169756x + 2y = 8 1x + 3y = 9 FINAL:
0.566466
0.566466
linear_system
1
sinusoid
1
1
240
40
4.193185
Solve this system for x: 4.193185165257813x + 2y = 8 1x + 3y = 9 FINAL:
0.567132
0.567132
linear_system
1
sinusoid
1
1
240
41
4.187181
Solve this system for x: 4.1871811853514656x + 2y = 8 1x + 3y = 9 FINAL:
0.568099
0.568099
linear_system
1
sinusoid
1
1
240
42
4.179375
Solve this system for x: 4.179374548306538x + 2y = 8 1x + 3y = 9 FINAL:
0.569361
0.569361
linear_system
1
sinusoid
1
1
240
43
4.16984
Solve this system for x: 4.169840436305316x + 2y = 8 1x + 3y = 9 FINAL:
0.570911
0.570911
linear_system
1
sinusoid
1
1
240
44
4.158671
Solve this system for x: 4.158670668058248x + 2y = 8 1x + 3y = 9 FINAL:
0.572737
0.572737
linear_system
1
sinusoid
1
1
240
45
4.145973
Solve this system for x: 4.145972814539567x + 2y = 8 1x + 3y = 9 FINAL:
0.574827
0.574827
linear_system
1
sinusoid
1
1
240
46
4.131869
Solve this system for x: 4.1318691630200135x + 2y = 8 1x + 3y = 9 FINAL:
0.577167
0.577167
linear_system
1
sinusoid
1
1
240
47
4.116496
Solve this system for x: 4.1164955393735605x + 2y = 8 1x + 3y = 9 FINAL:
0.579739
0.579739
linear_system
1
sinusoid
1
1
240
48
4.1
Solve this system for x: 4.1x + 2y = 8 1x + 3y = 9 FINAL:
0.582524
0.582524
linear_system
1
sinusoid
1
1
240
49
4.082541
Solve this system for x: 4.082541405960879x + 2y = 8 1x + 3y = 9 FINAL:
0.585502
0.585502
linear_system
1
sinusoid
1
1
240
50
4.064288
Solve this system for x: 4.064287893060633x + 2y = 8 1x + 3y = 9 FINAL:
0.588647
0.588647
linear_system
1
sinusoid
1
1
240
51
4.045415
Solve this system for x: 4.045415252606875x + 2y = 8 1x + 3y = 9 FINAL:
0.591935
0.591935
linear_system
1
sinusoid
1
1
240
52
4.026105
Solve this system for x: 4.026105238444011x + 2y = 8 1x + 3y = 9 FINAL:
0.595338
0.595338
linear_system
1
sinusoid
1
1
240
53
4.006544
Solve this system for x: 4.006543816564355x + 2y = 8 1x + 3y = 9 FINAL:
0.598824
0.598824
linear_system
1
sinusoid
1
1
240
54
3.986919
Solve this system for x: 3.9869193741539717x + 2y = 8 1x + 3y = 9 FINAL:
0.602364
0.602364
linear_system
1
sinusoid
1
1
240
55
3.967421
Solve this system for x: 3.9674209053210823x + 2y = 8 1x + 3y = 9 FINAL:
0.605922
0.605922
linear_system
1
sinusoid
1
1
240
56
3.948236
Solve this system for x: 3.948236190979496x + 2y = 8 1x + 3y = 9 FINAL:
0.609464
0.609464
linear_system
1
sinusoid
1
1
240
57
3.92955
Solve this system for x: 3.9295499904157536x + 2y = 8 1x + 3y = 9 FINAL:
0.612955
0.612955
linear_system
1
sinusoid
1
1
240
58
3.911542
Solve this system for x: 3.9115422619561997x + 2y = 8 1x + 3y = 9 FINAL:
0.616356
0.616356
linear_system
1
sinusoid
1
1
240
59
3.894386
Solve this system for x: 3.8943864298699262x + 2y = 8 1x + 3y = 9 FINAL:
0.619632
0.619632
linear_system
1
sinusoid
1
1
240
60
3.878248
Solve this system for x: 3.878247714198256x + 2y = 8 1x + 3y = 9 FINAL:
0.622746
0.622746
linear_system
1
sinusoid
1
1
240
61
3.863282
Solve this system for x: 3.863281539595426x + 2y = 8 1x + 3y = 9 FINAL:
0.625662
0.625662
linear_system
1
sinusoid
1
1
240
62
3.849632
Solve this system for x: 3.8496320385042044x + 2y = 8 1x + 3y = 9 FINAL:
0.628345
0.628345
linear_system
1
sinusoid
1
1
240
63
3.837431
Solve this system for x: 3.837430663081677x + 2y = 8 1x + 3y = 9 FINAL:
0.630763
0.630763
linear_system
1
sinusoid
1
2
240
0
3.826795
Solve this system for x: 3.8267949192431123x + 2y = 8 1x + 3y = 9 FINAL:
0.632886
0.632886
linear_system
1
sinusoid
1
2
240
1
3.810614
Solve this system for x: 3.810613974100979x + 2y = 8 1x + 3y = 9 FINAL:
0.636143
0.636143
linear_system
1
sinusoid
1
2
240
2
3.801711
Solve this system for x: 3.801711027725238x + 2y = 8 1x + 3y = 9 FINAL:
0.63795
0.63795
linear_system
1
sinusoid
1
2
240
3
3.800428
Solve this system for x: 3.8004282153522793x + 2y = 8 1x + 3y = 9 FINAL:
0.638211
0.638211
linear_system
1
sinusoid
1
2
240
4
3.806815
Solve this system for x: 3.806814834742186x + 2y = 8 1x + 3y = 9 FINAL:
0.636913
0.636913
linear_system
1
sinusoid
1
2
240
5
3.820625
Solve this system for x: 3.8206254516934623x + 2y = 8 1x + 3y = 9 FINAL:
0.634124
0.634124
linear_system
1
sinusoid
1
2
240
6
3.841329
Solve this system for x: 3.841329331941753x + 2y = 8 1x + 3y = 9 FINAL:
0.629988
0.629988
linear_system
1
sinusoid
1
2
240
7
3.868131
Solve this system for x: 3.868130836979986x + 2y = 8 1x + 3y = 9 FINAL:
0.624714
0.624714
linear_system
1
sinusoid
1
2
240
8
3.9
Solve this system for x: 3.9x + 2y = 8 1x + 3y = 9 FINAL:
0.618557
0.618557
linear_system
1
sinusoid
1
2
240
9
3.935712
Solve this system for x: 3.9357121069393677x + 2y = 8 1x + 3y = 9 FINAL:
0.611799
0.611799
linear_system
1
sinusoid
1
2
240
10
3.973895
Solve this system for x: 3.9738947615559894x + 2y = 8 1x + 3y = 9 FINAL:
0.604736
0.604736
linear_system
1
sinusoid
1
2
240
11
4.013081
Solve this system for x: 4.013080625846029x + 2y = 8 1x + 3y = 9 FINAL:
0.597655
0.597655
linear_system
1
sinusoid
1
2
240
12
4.051764
Solve this system for x: 4.051763809020504x + 2y = 8 1x + 3y = 9 FINAL:
0.590825
0.590825
linear_system
1
sinusoid
1
2
240
13
4.088458
Solve this system for x: 4.0884577380438x + 2y = 8 1x + 3y = 9 FINAL:
0.584489
0.584489
linear_system
1
sinusoid
1
2
240
14
4.121752
Solve this system for x: 4.121752285801744x + 2y = 8 1x + 3y = 9 FINAL:
0.578857
0.578857
linear_system
1
sinusoid
1
2
240
15
4.150368
Solve this system for x: 4.150367961495795x + 2y = 8 1x + 3y = 9 FINAL:
0.574102
0.574102
linear_system
1
sinusoid
1
2
240
16
4.173205
Solve this system for x: 4.173205080756888x + 2y = 8 1x + 3y = 9 FINAL:
0.570363
0.570363
linear_system
1
sinusoid
1
2
240
17
4.189386
Solve this system for x: 4.189386025899021x + 2y = 8 1x + 3y = 9 FINAL:
0.567743
0.567743
linear_system
1
sinusoid
1
2
240
18
4.198289
Solve this system for x: 4.198288972274762x + 2y = 8 1x + 3y = 9 FINAL:
0.566312
0.566312
linear_system
1
sinusoid
1
2
240
19
4.199572
Solve this system for x: 4.199571784647721x + 2y = 8 1x + 3y = 9 FINAL:
0.566106
0.566106
linear_system
1
sinusoid
1
2
240
20
4.193185
Solve this system for x: 4.193185165257813x + 2y = 8 1x + 3y = 9 FINAL:
0.567132
0.567132
linear_system
1
sinusoid
1
2
240
21
4.179375
Solve this system for x: 4.179374548306538x + 2y = 8 1x + 3y = 9 FINAL:
0.569361
0.569361
linear_system
1
sinusoid
1
2
240
22
4.158671
Solve this system for x: 4.158670668058248x + 2y = 8 1x + 3y = 9 FINAL:
0.572737
0.572737
linear_system
1
sinusoid
1
2
240
23
4.131869
Solve this system for x: 4.1318691630200135x + 2y = 8 1x + 3y = 9 FINAL:
0.577167
0.577167
linear_system
1
sinusoid
1
2
240
24
4.1
Solve this system for x: 4.1x + 2y = 8 1x + 3y = 9 FINAL:
0.582524
0.582524
linear_system
1
sinusoid
1
2
240
25
4.064288
Solve this system for x: 4.064287893060633x + 2y = 8 1x + 3y = 9 FINAL:
0.588647
0.588647
linear_system
1
sinusoid
1
2
240
26
4.026105
Solve this system for x: 4.026105238444011x + 2y = 8 1x + 3y = 9 FINAL:
0.595338
0.595338
linear_system
1
sinusoid
1
2
240
27
3.986919
Solve this system for x: 3.9869193741539717x + 2y = 8 1x + 3y = 9 FINAL:
0.602364
0.602364
linear_system
1
sinusoid
1
2
240
28
3.948236
Solve this system for x: 3.948236190979496x + 2y = 8 1x + 3y = 9 FINAL:
0.609464
0.609464
linear_system
1
sinusoid
1
2
240
29
3.911542
Solve this system for x: 3.9115422619561997x + 2y = 8 1x + 3y = 9 FINAL:
0.616356
0.616356
linear_system
1
sinusoid
1
2
240
30
3.878248
Solve this system for x: 3.878247714198256x + 2y = 8 1x + 3y = 9 FINAL:
0.622746
0.622746
linear_system
1
sinusoid
1
2
240
31
3.849632
Solve this system for x: 3.8496320385042044x + 2y = 8 1x + 3y = 9 FINAL:
0.628345
0.628345
linear_system
1
sinusoid
1
2
240
32
3.826795
Solve this system for x: 3.8267949192431123x + 2y = 8 1x + 3y = 9 FINAL:
0.632886
0.632886
linear_system
1
sinusoid
1
2
240
33
3.810614
Solve this system for x: 3.810613974100979x + 2y = 8 1x + 3y = 9 FINAL:
0.636143
0.636143
linear_system
1
sinusoid
1
2
240
34
3.801711
Solve this system for x: 3.8017110277252377x + 2y = 8 1x + 3y = 9 FINAL:
0.63795
0.63795
linear_system
1
sinusoid
1
2
240
35
3.800428
Solve this system for x: 3.8004282153522793x + 2y = 8 1x + 3y = 9 FINAL:
0.638211
0.638211
linear_system
1
sinusoid
1
2
240
36
3.806815
Solve this system for x: 3.806814834742186x + 2y = 8 1x + 3y = 9 FINAL:
0.636913
0.636913
linear_system
1
sinusoid
1
2
240
37
3.820625
Solve this system for x: 3.8206254516934623x + 2y = 8 1x + 3y = 9 FINAL:
0.634124
0.634124
linear_system
1
sinusoid
1
2
240
38
3.841329
Solve this system for x: 3.8413293319417527x + 2y = 8 1x + 3y = 9 FINAL:
0.629988
0.629988
linear_system
1
sinusoid
1
2
240
39
3.868131
Solve this system for x: 3.868130836979986x + 2y = 8 1x + 3y = 9 FINAL:
0.624714
0.624714
linear_system
1
sinusoid
1
2
240
40
3.9
Solve this system for x: 3.9x + 2y = 8 1x + 3y = 9 FINAL:
0.618557
0.618557
linear_system
1
sinusoid
1
2
240
41
3.935712
Solve this system for x: 3.9357121069393677x + 2y = 8 1x + 3y = 9 FINAL:
0.611799
0.611799
linear_system
1
sinusoid
1
2
240
42
3.973895
Solve this system for x: 3.9738947615559894x + 2y = 8 1x + 3y = 9 FINAL:
0.604736
0.604736
linear_system
1
sinusoid
1
2
240
43
4.013081
Solve this system for x: 4.013080625846028x + 2y = 8 1x + 3y = 9 FINAL:
0.597655
0.597655
linear_system
1
sinusoid
1
2
240
44
4.051764
Solve this system for x: 4.051763809020503x + 2y = 8 1x + 3y = 9 FINAL:
0.590825
0.590825
linear_system
1
sinusoid
1
2
240
45
4.088458
Solve this system for x: 4.0884577380438x + 2y = 8 1x + 3y = 9 FINAL:
0.584489
0.584489
linear_system
1
sinusoid
1
2
240
46
4.121752
Solve this system for x: 4.121752285801744x + 2y = 8 1x + 3y = 9 FINAL:
0.578857
0.578857
linear_system
1
sinusoid
1
2
240
47
4.150368
Solve this system for x: 4.150367961495795x + 2y = 8 1x + 3y = 9 FINAL:
0.574102
0.574102
linear_system
1
sinusoid
1
2
240
48
4.173205
Solve this system for x: 4.173205080756888x + 2y = 8 1x + 3y = 9 FINAL:
0.570363
0.570363
linear_system
1
sinusoid
1
2
240
49
4.189386
Solve this system for x: 4.1893860258990205x + 2y = 8 1x + 3y = 9 FINAL:
0.567743
0.567743
linear_system
1
sinusoid
1
2
240
50
4.198289
Solve this system for x: 4.198288972274762x + 2y = 8 1x + 3y = 9 FINAL:
0.566312
0.566312
linear_system
1
sinusoid
1
2
240
51
4.199572
Solve this system for x: 4.199571784647721x + 2y = 8 1x + 3y = 9 FINAL:
0.566106
0.566106
linear_system
1
sinusoid
1
2
240
52
4.193185
Solve this system for x: 4.193185165257813x + 2y = 8 1x + 3y = 9 FINAL:
0.567132
0.567132
linear_system
1
sinusoid
1
2
240
53
4.179375
Solve this system for x: 4.179374548306538x + 2y = 8 1x + 3y = 9 FINAL:
0.569361
0.569361
linear_system
1
sinusoid
1
2
240
54
4.158671
Solve this system for x: 4.158670668058248x + 2y = 8 1x + 3y = 9 FINAL:
0.572737
0.572737
linear_system
1
sinusoid
1
2
240
55
4.131869
Solve this system for x: 4.1318691630200135x + 2y = 8 1x + 3y = 9 FINAL:
0.577167
0.577167