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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4.5
prompt
stringlengths
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ground_truth
float64
0.52
2.33
symbolic_baseline_answer
float64
0.52
2.33
linear_system
1
sinusoid
1
1
120
40
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
120
41
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
120
42
3.986919
Solve this system for x: 3.9869193741539712x + 2y = 8 1x + 3y = 9 FINAL:
0.602364
0.602364
linear_system
1
sinusoid
1
1
120
43
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
120
44
4.026105
Solve this system for x: 4.02610523844401x + 2y = 8 1x + 3y = 9 FINAL:
0.595338
0.595338
linear_system
1
sinusoid
1
1
120
45
4.045415
Solve this system for x: 4.045415252606874x + 2y = 8 1x + 3y = 9 FINAL:
0.591935
0.591935
linear_system
1
sinusoid
1
1
120
46
4.064288
Solve this system for x: 4.064287893060632x + 2y = 8 1x + 3y = 9 FINAL:
0.588647
0.588647
linear_system
1
sinusoid
1
1
120
47
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
120
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
120
49
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
120
50
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
120
51
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
120
52
4.158671
Solve this system for x: 4.158670668058247x + 2y = 8 1x + 3y = 9 FINAL:
0.572737
0.572737
linear_system
1
sinusoid
1
1
120
53
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
120
54
4.179375
Solve this system for x: 4.179374548306537x + 2y = 8 1x + 3y = 9 FINAL:
0.569361
0.569361
linear_system
1
sinusoid
1
1
120
55
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
120
56
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
120
57
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
120
58
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
120
59
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
120
60
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
120
61
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
120
62
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
120
63
4.182173
Solve this system for x: 4.1821727649842355x + 2y = 8 1x + 3y = 9 FINAL:
0.568908
0.568908
linear_system
1
sinusoid
1
2
120
0
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
120
1
4.150368
Solve this system for x: 4.150367961495796x + 2y = 8 1x + 3y = 9 FINAL:
0.574102
0.574102
linear_system
1
sinusoid
1
2
120
2
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
120
3
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
120
4
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
120
5
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
120
6
3.973895
Solve this system for x: 3.97389476155599x + 2y = 8 1x + 3y = 9 FINAL:
0.604736
0.604736
linear_system
1
sinusoid
1
2
120
7
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
120
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
120
9
3.868131
Solve this system for x: 3.8681308369799865x + 2y = 8 1x + 3y = 9 FINAL:
0.624714
0.624714
linear_system
1
sinusoid
1
2
120
10
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
120
11
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
120
12
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
120
13
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
120
14
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
120
15
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
120
16
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
120
17
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
120
18
3.878248
Solve this system for x: 3.8782477141982556x + 2y = 8 1x + 3y = 9 FINAL:
0.622746
0.622746
linear_system
1
sinusoid
1
2
120
19
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
120
20
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
120
21
3.986919
Solve this system for x: 3.9869193741539712x + 2y = 8 1x + 3y = 9 FINAL:
0.602364
0.602364
linear_system
1
sinusoid
1
2
120
22
4.026105
Solve this system for x: 4.02610523844401x + 2y = 8 1x + 3y = 9 FINAL:
0.595338
0.595338
linear_system
1
sinusoid
1
2
120
23
4.064288
Solve this system for x: 4.064287893060632x + 2y = 8 1x + 3y = 9 FINAL:
0.588647
0.588647
linear_system
1
sinusoid
1
2
120
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
120
25
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
120
26
4.158671
Solve this system for x: 4.158670668058247x + 2y = 8 1x + 3y = 9 FINAL:
0.572737
0.572737
linear_system
1
sinusoid
1
2
120
27
4.179375
Solve this system for x: 4.179374548306537x + 2y = 8 1x + 3y = 9 FINAL:
0.569361
0.569361
linear_system
1
sinusoid
1
2
120
28
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
120
29
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
120
30
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
120
31
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
120
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
2
120
33
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
120
34
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
120
35
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
120
36
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
120
37
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
120
38
3.973895
Solve this system for x: 3.97389476155599x + 2y = 8 1x + 3y = 9 FINAL:
0.604736
0.604736
linear_system
1
sinusoid
1
2
120
39
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
120
40
3.9
Solve this system for x: 3.9000000000000004x + 2y = 8 1x + 3y = 9 FINAL:
0.618557
0.618557
linear_system
1
sinusoid
1
2
120
41
3.868131
Solve this system for x: 3.8681308369799865x + 2y = 8 1x + 3y = 9 FINAL:
0.624714
0.624714
linear_system
1
sinusoid
1
2
120
42
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
120
43
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
120
44
3.806815
Solve this system for x: 3.8068148347421866x + 2y = 8 1x + 3y = 9 FINAL:
0.636913
0.636913
linear_system
1
sinusoid
1
2
120
45
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
120
46
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
120
47
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
120
48
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
120
49
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
120
50
3.878248
Solve this system for x: 3.8782477141982556x + 2y = 8 1x + 3y = 9 FINAL:
0.622746
0.622746
linear_system
1
sinusoid
1
2
120
51
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
120
52
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
120
53
3.986919
Solve this system for x: 3.9869193741539712x + 2y = 8 1x + 3y = 9 FINAL:
0.602364
0.602364
linear_system
1
sinusoid
1
2
120
54
4.026105
Solve this system for x: 4.02610523844401x + 2y = 8 1x + 3y = 9 FINAL:
0.595338
0.595338
linear_system
1
sinusoid
1
2
120
55
4.064288
Solve this system for x: 4.064287893060632x + 2y = 8 1x + 3y = 9 FINAL:
0.588647
0.588647
linear_system
1
sinusoid
1
2
120
56
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
120
57
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
120
58
4.158671
Solve this system for x: 4.158670668058247x + 2y = 8 1x + 3y = 9 FINAL:
0.572737
0.572737
linear_system
1
sinusoid
1
2
120
59
4.179375
Solve this system for x: 4.179374548306537x + 2y = 8 1x + 3y = 9 FINAL:
0.569361
0.569361
linear_system
1
sinusoid
1
2
120
60
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
120
61
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
120
62
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
120
63
4.189386
Solve this system for x: 4.189386025899021x + 2y = 8 1x + 3y = 9 FINAL:
0.567743
0.567743
linear_system
1
sinusoid
1
4
120
0
4.173205
Solve this system for x: 4.173205080756888x + 2y = 8 1x + 3y = 9 FINAL:
0.570363
0.570363
linear_system
1
sinusoid
1
4
120
1
4.121752
Solve this system for x: 4.121752285801744x + 2y = 8 1x + 3y = 9 FINAL:
0.578857
0.578857
linear_system
1
sinusoid
1
4
120
2
4.051764
Solve this system for x: 4.051763809020504x + 2y = 8 1x + 3y = 9 FINAL:
0.590825
0.590825
linear_system
1
sinusoid
1
4
120
3
3.973895
Solve this system for x: 3.97389476155599x + 2y = 8 1x + 3y = 9 FINAL:
0.604736
0.604736
linear_system
1
sinusoid
1
4
120
4
3.9
Solve this system for x: 3.9x + 2y = 8 1x + 3y = 9 FINAL:
0.618557
0.618557
linear_system
1
sinusoid
1
4
120
5
3.841329
Solve this system for x: 3.841329331941753x + 2y = 8 1x + 3y = 9 FINAL:
0.629988
0.629988
linear_system
1
sinusoid
1
4
120
6
3.806815
Solve this system for x: 3.806814834742186x + 2y = 8 1x + 3y = 9 FINAL:
0.636913
0.636913
linear_system
1
sinusoid
1
4
120
7
3.801711
Solve this system for x: 3.8017110277252377x + 2y = 8 1x + 3y = 9 FINAL:
0.63795
0.63795
linear_system
1
sinusoid
1
4
120
8
3.826795
Solve this system for x: 3.8267949192431123x + 2y = 8 1x + 3y = 9 FINAL:
0.632886
0.632886
linear_system
1
sinusoid
1
4
120
9
3.878248
Solve this system for x: 3.8782477141982556x + 2y = 8 1x + 3y = 9 FINAL:
0.622746
0.622746
linear_system
1
sinusoid
1
4
120
10
3.948236
Solve this system for x: 3.948236190979496x + 2y = 8 1x + 3y = 9 FINAL:
0.609464
0.609464
linear_system
1
sinusoid
1
4
120
11
4.026105
Solve this system for x: 4.02610523844401x + 2y = 8 1x + 3y = 9 FINAL:
0.595338
0.595338