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
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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
16
120
44
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
120
45
3.9
Solve this system for x: 3.900000000000001x + 1y = 7 1x + 5y = 11 FINAL:
1.297297
1.297297
linear_system
0
sinusoid
1
16
120
46
3.826795
Solve this system for x: 3.8267949192431114x + 1y = 7 1x + 5y = 11 FINAL:
1.323483
1.323483
linear_system
0
sinusoid
1
16
120
47
4.1
Solve this system for x: 4.1x + 1y = 7 1x + 5y = 11 FINAL:
1.230769
1.230769
linear_system
0
sinusoid
1
16
120
48
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
120
49
3.9
Solve this system for x: 3.9000000000000017x + 1y = 7 1x + 5y = 11 FINAL:
1.297297
1.297297
linear_system
0
sinusoid
1
16
120
50
3.826795
Solve this system for x: 3.826794919243112x + 1y = 7 1x + 5y = 11 FINAL:
1.323483
1.323483
linear_system
0
sinusoid
1
16
120
51
4.1
Solve this system for x: 4.099999999999999x + 1y = 7 1x + 5y = 11 FINAL:
1.230769
1.230769
linear_system
0
sinusoid
1
16
120
52
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
120
53
3.9
Solve this system for x: 3.900000000000001x + 1y = 7 1x + 5y = 11 FINAL:
1.297297
1.297297
linear_system
0
sinusoid
1
16
120
54
3.826795
Solve this system for x: 3.8267949192431114x + 1y = 7 1x + 5y = 11 FINAL:
1.323483
1.323483
linear_system
0
sinusoid
1
16
120
55
4.1
Solve this system for x: 4.1x + 1y = 7 1x + 5y = 11 FINAL:
1.230769
1.230769
linear_system
0
sinusoid
1
16
120
56
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
120
57
3.9
Solve this system for x: 3.900000000000002x + 1y = 7 1x + 5y = 11 FINAL:
1.297297
1.297297
linear_system
0
sinusoid
1
16
120
58
3.826795
Solve this system for x: 3.826794919243112x + 1y = 7 1x + 5y = 11 FINAL:
1.323483
1.323483
linear_system
0
sinusoid
1
16
120
59
4.1
Solve this system for x: 4.099999999999999x + 1y = 7 1x + 5y = 11 FINAL:
1.230769
1.230769
linear_system
0
sinusoid
1
16
120
60
4.173205
Solve this system for x: 4.1732050807568895x + 1y = 7 1x + 5y = 11 FINAL:
1.208093
1.208093
linear_system
0
sinusoid
1
16
120
61
3.9
Solve this system for x: 3.900000000000001x + 1y = 7 1x + 5y = 11 FINAL:
1.297297
1.297297
linear_system
0
sinusoid
1
16
120
62
3.826795
Solve this system for x: 3.8267949192431114x + 1y = 7 1x + 5y = 11 FINAL:
1.323483
1.323483
linear_system
0
sinusoid
1
16
120
63
4.1
Solve this system for x: 4.1x + 1y = 7 1x + 5y = 11 FINAL:
1.230769
1.230769
linear_system
0
sinusoid
1
1
240
0
3.826795
Solve this system for x: 3.8267949192431123x + 1y = 7 1x + 5y = 11 FINAL:
1.323483
1.323483
linear_system
0
sinusoid
1
1
240
1
3.817827
Solve this system for x: 3.817827235015765x + 1y = 7 1x + 5y = 11 FINAL:
1.326763
1.326763
linear_system
0
sinusoid
1
1
240
2
3.810614
Solve this system for x: 3.810613974100979x + 1y = 7 1x + 5y = 11 FINAL:
1.329414
1.329414
linear_system
0
sinusoid
1
1
240
3
3.805225
Solve this system for x: 3.8052246041445335x + 1y = 7 1x + 5y = 11 FINAL:
1.331401
1.331401
linear_system
0
sinusoid
1
1
240
4
3.801711
Solve this system for x: 3.801711027725238x + 1y = 7 1x + 5y = 11 FINAL:
1.3327
1.3327
linear_system
0
sinusoid
1
1
240
5
3.800107
Solve this system for x: 3.8001070825047267x + 1y = 7 1x + 5y = 11 FINAL:
1.333294
1.333294
linear_system
0
sinusoid
1
1
240
6
3.800428
Solve this system for x: 3.8004282153522793x + 1y = 7 1x + 5y = 11 FINAL:
1.333175
1.333175
linear_system
0
sinusoid
1
1
240
7
3.802671
Solve this system for x: 3.802671333583024x + 1y = 7 1x + 5y = 11 FINAL:
1.332345
1.332345
linear_system
0
sinusoid
1
1
240
8
3.806815
Solve this system for x: 3.806814834742186x + 1y = 7 1x + 5y = 11 FINAL:
1.330814
1.330814
linear_system
0
sinusoid
1
1
240
9
3.812819
Solve this system for x: 3.812818814648535x + 1y = 7 1x + 5y = 11 FINAL:
1.328602
1.328602
linear_system
0
sinusoid
1
1
240
10
3.820625
Solve this system for x: 3.8206254516934623x + 1y = 7 1x + 5y = 11 FINAL:
1.325738
1.325738
linear_system
0
sinusoid
1
1
240
11
3.83016
Solve this system for x: 3.830159563694684x + 1y = 7 1x + 5y = 11 FINAL:
1.322256
1.322256
linear_system
0
sinusoid
1
1
240
12
3.841329
Solve this system for x: 3.841329331941753x + 1y = 7 1x + 5y = 11 FINAL:
1.3182
1.3182
linear_system
0
sinusoid
1
1
240
13
3.854027
Solve this system for x: 3.8540271854604327x + 1y = 7 1x + 5y = 11 FINAL:
1.313619
1.313619
linear_system
0
sinusoid
1
1
240
14
3.868131
Solve this system for x: 3.868130836979986x + 1y = 7 1x + 5y = 11 FINAL:
1.308568
1.308568
linear_system
0
sinusoid
1
1
240
15
3.883504
Solve this system for x: 3.8835044606264395x + 1y = 7 1x + 5y = 11 FINAL:
1.303107
1.303107
linear_system
0
sinusoid
1
1
240
16
3.9
Solve this system for x: 3.9x + 1y = 7 1x + 5y = 11 FINAL:
1.297297
1.297297
linear_system
0
sinusoid
1
1
240
17
3.917459
Solve this system for x: 3.917458594039121x + 1y = 7 1x + 5y = 11 FINAL:
1.291205
1.291205
linear_system
0
sinusoid
1
1
240
18
3.935712
Solve this system for x: 3.9357121069393677x + 1y = 7 1x + 5y = 11 FINAL:
1.284896
1.284896
linear_system
0
sinusoid
1
1
240
19
3.954585
Solve this system for x: 3.9545847473931253x + 1y = 7 1x + 5y = 11 FINAL:
1.278437
1.278437
linear_system
0
sinusoid
1
1
240
20
3.973895
Solve this system for x: 3.9738947615559894x + 1y = 7 1x + 5y = 11 FINAL:
1.271896
1.271896
linear_system
0
sinusoid
1
1
240
21
3.993456
Solve this system for x: 3.9934561834356446x + 1y = 7 1x + 5y = 11 FINAL:
1.265337
1.265337
linear_system
0
sinusoid
1
1
240
22
4.013081
Solve this system for x: 4.013080625846029x + 1y = 7 1x + 5y = 11 FINAL:
1.258825
1.258825
linear_system
0
sinusoid
1
1
240
23
4.032579
Solve this system for x: 4.032579094678917x + 1y = 7 1x + 5y = 11 FINAL:
1.25242
1.25242
linear_system
0
sinusoid
1
1
240
24
4.051764
Solve this system for x: 4.051763809020504x + 1y = 7 1x + 5y = 11 FINAL:
1.246182
1.246182
linear_system
0
sinusoid
1
1
240
25
4.07045
Solve this system for x: 4.070450009584246x + 1y = 7 1x + 5y = 11 FINAL:
1.240166
1.240166
linear_system
0
sinusoid
1
1
240
26
4.088458
Solve this system for x: 4.0884577380438x + 1y = 7 1x + 5y = 11 FINAL:
1.234423
1.234423
linear_system
0
sinusoid
1
1
240
27
4.105614
Solve this system for x: 4.105613570130074x + 1y = 7 1x + 5y = 11 FINAL:
1.229
1.229
linear_system
0
sinusoid
1
1
240
28
4.121752
Solve this system for x: 4.121752285801744x + 1y = 7 1x + 5y = 11 FINAL:
1.223943
1.223943
linear_system
0
sinusoid
1
1
240
29
4.136718
Solve this system for x: 4.136718460404574x + 1y = 7 1x + 5y = 11 FINAL:
1.21929
1.21929
linear_system
0
sinusoid
1
1
240
30
4.150368
Solve this system for x: 4.150367961495795x + 1y = 7 1x + 5y = 11 FINAL:
1.215077
1.215077
linear_system
0
sinusoid
1
1
240
31
4.162569
Solve this system for x: 4.162569336918323x + 1y = 7 1x + 5y = 11 FINAL:
1.211335
1.211335
linear_system
0
sinusoid
1
1
240
32
4.173205
Solve this system for x: 4.173205080756888x + 1y = 7 1x + 5y = 11 FINAL:
1.208093
1.208093
linear_system
0
sinusoid
1
1
240
33
4.182173
Solve this system for x: 4.1821727649842355x + 1y = 7 1x + 5y = 11 FINAL:
1.205372
1.205372
linear_system
0
sinusoid
1
1
240
34
4.189386
Solve this system for x: 4.189386025899021x + 1y = 7 1x + 5y = 11 FINAL:
1.203193
1.203193
linear_system
0
sinusoid
1
1
240
35
4.194775
Solve this system for x: 4.1947753958554665x + 1y = 7 1x + 5y = 11 FINAL:
1.201569
1.201569
linear_system
0
sinusoid
1
1
240
36
4.198289
Solve this system for x: 4.198288972274762x + 1y = 7 1x + 5y = 11 FINAL:
1.200514
1.200514
linear_system
0
sinusoid
1
1
240
37
4.199893
Solve this system for x: 4.199892917495273x + 1y = 7 1x + 5y = 11 FINAL:
1.200032
1.200032
linear_system
0
sinusoid
1
1
240
38
4.199572
Solve this system for x: 4.199571784647721x + 1y = 7 1x + 5y = 11 FINAL:
1.200128
1.200128
linear_system
0
sinusoid
1
1
240
39
4.197329
Solve this system for x: 4.1973286664169756x + 1y = 7 1x + 5y = 11 FINAL:
1.200802
1.200802
linear_system
0
sinusoid
1
1
240
40
4.193185
Solve this system for x: 4.193185165257813x + 1y = 7 1x + 5y = 11 FINAL:
1.202048
1.202048
linear_system
0
sinusoid
1
1
240
41
4.187181
Solve this system for x: 4.1871811853514656x + 1y = 7 1x + 5y = 11 FINAL:
1.203858
1.203858
linear_system
0
sinusoid
1
1
240
42
4.179375
Solve this system for x: 4.179374548306538x + 1y = 7 1x + 5y = 11 FINAL:
1.20622
1.20622
linear_system
0
sinusoid
1
1
240
43
4.16984
Solve this system for x: 4.169840436305316x + 1y = 7 1x + 5y = 11 FINAL:
1.209117
1.209117
linear_system
0
sinusoid
1
1
240
44
4.158671
Solve this system for x: 4.158670668058248x + 1y = 7 1x + 5y = 11 FINAL:
1.212528
1.212528
linear_system
0
sinusoid
1
1
240
45
4.145973
Solve this system for x: 4.145972814539567x + 1y = 7 1x + 5y = 11 FINAL:
1.21643
1.21643
linear_system
0
sinusoid
1
1
240
46
4.131869
Solve this system for x: 4.1318691630200135x + 1y = 7 1x + 5y = 11 FINAL:
1.220793
1.220793
linear_system
0
sinusoid
1
1
240
47
4.116496
Solve this system for x: 4.1164955393735605x + 1y = 7 1x + 5y = 11 FINAL:
1.225585
1.225585
linear_system
0
sinusoid
1
1
240
48
4.1
Solve this system for x: 4.1x + 1y = 7 1x + 5y = 11 FINAL:
1.230769
1.230769
linear_system
0
sinusoid
1
1
240
49
4.082541
Solve this system for x: 4.082541405960879x + 1y = 7 1x + 5y = 11 FINAL:
1.236304
1.236304
linear_system
0
sinusoid
1
1
240
50
4.064288
Solve this system for x: 4.064287893060633x + 1y = 7 1x + 5y = 11 FINAL:
1.242143
1.242143
linear_system
0
sinusoid
1
1
240
51
4.045415
Solve this system for x: 4.045415252606875x + 1y = 7 1x + 5y = 11 FINAL:
1.24824
1.24824
linear_system
0
sinusoid
1
1
240
52
4.026105
Solve this system for x: 4.026105238444011x + 1y = 7 1x + 5y = 11 FINAL:
1.254539
1.254539
linear_system
0
sinusoid
1
1
240
53
4.006544
Solve this system for x: 4.006543816564355x + 1y = 7 1x + 5y = 11 FINAL:
1.260986
1.260986
linear_system
0
sinusoid
1
1
240
54
3.986919
Solve this system for x: 3.9869193741539717x + 1y = 7 1x + 5y = 11 FINAL:
1.267521
1.267521
linear_system
0
sinusoid
1
1
240
55
3.967421
Solve this system for x: 3.9674209053210823x + 1y = 7 1x + 5y = 11 FINAL:
1.274081
1.274081
linear_system
0
sinusoid
1
1
240
56
3.948236
Solve this system for x: 3.948236190979496x + 1y = 7 1x + 5y = 11 FINAL:
1.280602
1.280602
linear_system
0
sinusoid
1
1
240
57
3.92955
Solve this system for x: 3.9295499904157536x + 1y = 7 1x + 5y = 11 FINAL:
1.287019
1.287019
linear_system
0
sinusoid
1
1
240
58
3.911542
Solve this system for x: 3.9115422619561997x + 1y = 7 1x + 5y = 11 FINAL:
1.293263
1.293263
linear_system
0
sinusoid
1
1
240
59
3.894386
Solve this system for x: 3.8943864298699262x + 1y = 7 1x + 5y = 11 FINAL:
1.299269
1.299269
linear_system
0
sinusoid
1
1
240
60
3.878248
Solve this system for x: 3.878247714198256x + 1y = 7 1x + 5y = 11 FINAL:
1.304969
1.304969
linear_system
0
sinusoid
1
1
240
61
3.863282
Solve this system for x: 3.863281539595426x + 1y = 7 1x + 5y = 11 FINAL:
1.310301
1.310301
linear_system
0
sinusoid
1
1
240
62
3.849632
Solve this system for x: 3.8496320385042044x + 1y = 7 1x + 5y = 11 FINAL:
1.315201
1.315201
linear_system
0
sinusoid
1
1
240
63
3.837431
Solve this system for x: 3.837430663081677x + 1y = 7 1x + 5y = 11 FINAL:
1.319613
1.319613
linear_system
0
sinusoid
1
2
240
0
3.826795
Solve this system for x: 3.8267949192431123x + 1y = 7 1x + 5y = 11 FINAL:
1.323483
1.323483
linear_system
0
sinusoid
1
2
240
1
3.810614
Solve this system for x: 3.810613974100979x + 1y = 7 1x + 5y = 11 FINAL:
1.329414
1.329414
linear_system
0
sinusoid
1
2
240
2
3.801711
Solve this system for x: 3.801711027725238x + 1y = 7 1x + 5y = 11 FINAL:
1.3327
1.3327
linear_system
0
sinusoid
1
2
240
3
3.800428
Solve this system for x: 3.8004282153522793x + 1y = 7 1x + 5y = 11 FINAL:
1.333175
1.333175
linear_system
0
sinusoid
1
2
240
4
3.806815
Solve this system for x: 3.806814834742186x + 1y = 7 1x + 5y = 11 FINAL:
1.330814
1.330814
linear_system
0
sinusoid
1
2
240
5
3.820625
Solve this system for x: 3.8206254516934623x + 1y = 7 1x + 5y = 11 FINAL:
1.325738
1.325738
linear_system
0
sinusoid
1
2
240
6
3.841329
Solve this system for x: 3.841329331941753x + 1y = 7 1x + 5y = 11 FINAL:
1.3182
1.3182
linear_system
0
sinusoid
1
2
240
7
3.868131
Solve this system for x: 3.868130836979986x + 1y = 7 1x + 5y = 11 FINAL:
1.308568
1.308568
linear_system
0
sinusoid
1
2
240
8
3.9
Solve this system for x: 3.9x + 1y = 7 1x + 5y = 11 FINAL:
1.297297
1.297297
linear_system
0
sinusoid
1
2
240
9
3.935712
Solve this system for x: 3.9357121069393677x + 1y = 7 1x + 5y = 11 FINAL:
1.284896
1.284896
linear_system
0
sinusoid
1
2
240
10
3.973895
Solve this system for x: 3.9738947615559894x + 1y = 7 1x + 5y = 11 FINAL:
1.271896
1.271896
linear_system
0
sinusoid
1
2
240
11
4.013081
Solve this system for x: 4.013080625846029x + 1y = 7 1x + 5y = 11 FINAL:
1.258825
1.258825
linear_system
0
sinusoid
1
2
240
12
4.051764
Solve this system for x: 4.051763809020504x + 1y = 7 1x + 5y = 11 FINAL:
1.246182
1.246182
linear_system
0
sinusoid
1
2
240
13
4.088458
Solve this system for x: 4.0884577380438x + 1y = 7 1x + 5y = 11 FINAL:
1.234423
1.234423
linear_system
0
sinusoid
1
2
240
14
4.121752
Solve this system for x: 4.121752285801744x + 1y = 7 1x + 5y = 11 FINAL:
1.223943
1.223943
linear_system
0
sinusoid
1
2
240
15
4.150368
Solve this system for x: 4.150367961495795x + 1y = 7 1x + 5y = 11 FINAL:
1.215077
1.215077