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
1
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
2.33
linear_system
0
sinusoid
2.5
1
120
20
3.603323
Solve this system for x: 3.6033233298543825x + 1y = 7 1x + 5y = 11 FINAL:
1.410386
1.410386
linear_system
0
sinusoid
2.5
1
120
21
3.575399
Solve this system for x: 3.5753989092367107x + 1y = 7 1x + 5y = 11 FINAL:
1.422054
1.422054
linear_system
0
sinusoid
2.5
1
120
22
3.551564
Solve this system for x: 3.551563629233656x + 1y = 7 1x + 5y = 11 FINAL:
1.432167
1.432167
linear_system
0
sinusoid
2.5
1
120
23
3.532047
Solve this system for x: 3.5320470366213375x + 1y = 7 1x + 5y = 11 FINAL:
1.440556
1.440556
linear_system
0
sinusoid
2.5
1
120
24
3.517037
Solve this system for x: 3.5170370868554657x + 1y = 7 1x + 5y = 11 FINAL:
1.447075
1.447075
linear_system
0
sinusoid
2.5
1
120
25
3.506678
Solve this system for x: 3.5066783339575607x + 1y = 7 1x + 5y = 11 FINAL:
1.451608
1.451608
linear_system
0
sinusoid
2.5
1
120
26
3.501071
Solve this system for x: 3.501070538380698x + 1y = 7 1x + 5y = 11 FINAL:
1.454074
1.454074
linear_system
0
sinusoid
2.5
1
120
27
3.500268
Solve this system for x: 3.500267706261817x + 1y = 7 1x + 5y = 11 FINAL:
1.454427
1.454427
linear_system
0
sinusoid
2.5
1
120
28
3.504278
Solve this system for x: 3.5042775693130945x + 1y = 7 1x + 5y = 11 FINAL:
1.452662
1.452662
linear_system
0
sinusoid
2.5
1
120
29
3.513062
Solve this system for x: 3.513061510361333x + 1y = 7 1x + 5y = 11 FINAL:
1.448811
1.448811
linear_system
0
sinusoid
2.5
1
120
30
3.526535
Solve this system for x: 3.5265349352524473x + 1y = 7 1x + 5y = 11 FINAL:
1.442943
1.442943
linear_system
0
sinusoid
2.5
1
120
31
3.544568
Solve this system for x: 3.544568087539412x + 1y = 7 1x + 5y = 11 FINAL:
1.435163
1.435163
linear_system
0
sinusoid
2.5
1
120
32
3.566987
Solve this system for x: 3.5669872981077804x + 1y = 7 1x + 5y = 11 FINAL:
1.425607
1.425607
linear_system
0
sinusoid
2.5
1
120
33
3.593577
Solve this system for x: 3.593576657704192x + 1y = 7 1x + 5y = 11 FINAL:
1.414437
1.414437
linear_system
0
sinusoid
2.5
1
120
34
3.62408
Solve this system for x: 3.6240800962605113x + 1y = 7 1x + 5y = 11 FINAL:
1.401836
1.401836
linear_system
0
sinusoid
2.5
1
120
35
3.658204
Solve this system for x: 3.658203848988564x + 1y = 7 1x + 5y = 11 FINAL:
1.388004
1.388004
linear_system
0
sinusoid
2.5
1
120
36
3.695619
Solve this system for x: 3.6956192854956393x + 1y = 7 1x + 5y = 11 FINAL:
1.373147
1.373147
linear_system
0
sinusoid
2.5
1
120
37
3.735966
Solve this system for x: 3.7359660746748156x + 1y = 7 1x + 5y = 11 FINAL:
1.357479
1.357479
linear_system
0
sinusoid
2.5
1
120
38
3.778856
Solve this system for x: 3.778855654890499x + 1y = 7 1x + 5y = 11 FINAL:
1.341211
1.341211
linear_system
0
sinusoid
2.5
1
120
39
3.823875
Solve this system for x: 3.823874976039383x + 1y = 7 1x + 5y = 11 FINAL:
1.324549
1.324549
linear_system
0
sinusoid
2.5
1
120
40
3.87059
Solve this system for x: 3.8705904774487396x + 1y = 7 1x + 5y = 11 FINAL:
1.307692
1.307692
linear_system
0
sinusoid
2.5
1
120
41
3.918552
Solve this system for x: 3.9185522633027055x + 1y = 7 1x + 5y = 11 FINAL:
1.290825
1.290825
linear_system
0
sinusoid
2.5
1
120
42
3.967298
Solve this system for x: 3.967298435384928x + 1y = 7 1x + 5y = 11 FINAL:
1.274123
1.274123
linear_system
0
sinusoid
2.5
1
120
43
4.01636
Solve this system for x: 4.016359541410887x + 1y = 7 1x + 5y = 11 FINAL:
1.257743
1.257743
linear_system
0
sinusoid
2.5
1
120
44
4.065263
Solve this system for x: 4.065263096110026x + 1y = 7 1x + 5y = 11 FINAL:
1.24183
1.24183
linear_system
0
sinusoid
2.5
1
120
45
4.113538
Solve this system for x: 4.113538131517187x + 1y = 7 1x + 5y = 11 FINAL:
1.226512
1.226512
linear_system
0
sinusoid
2.5
1
120
46
4.16072
Solve this system for x: 4.160719732651581x + 1y = 7 1x + 5y = 11 FINAL:
1.211901
1.211901
linear_system
0
sinusoid
2.5
1
120
47
4.206354
Solve this system for x: 4.206353514902197x + 1y = 7 1x + 5y = 11 FINAL:
1.198097
1.198097
linear_system
0
sinusoid
2.5
1
120
48
4.25
Solve this system for x: 4.25x + 1y = 7 1x + 5y = 11 FINAL:
1.185185
1.185185
linear_system
0
sinusoid
2.5
1
120
49
4.291239
Solve this system for x: 4.291238848433901x + 1y = 7 1x + 5y = 11 FINAL:
1.173239
1.173239
linear_system
0
sinusoid
2.5
1
120
50
4.329673
Solve this system for x: 4.329672907550035x + 1y = 7 1x + 5y = 11 FINAL:
1.16232
1.16232
linear_system
0
sinusoid
2.5
1
120
51
4.364932
Solve this system for x: 4.364932036348918x + 1y = 7 1x + 5y = 11 FINAL:
1.15248
1.15248
linear_system
0
sinusoid
2.5
1
120
52
4.396677
Solve this system for x: 4.3966766701456175x + 1y = 7 1x + 5y = 11 FINAL:
1.143762
1.143762
linear_system
0
sinusoid
2.5
1
120
53
4.424601
Solve this system for x: 4.424601090763289x + 1y = 7 1x + 5y = 11 FINAL:
1.136202
1.136202
linear_system
0
sinusoid
2.5
1
120
54
4.448436
Solve this system for x: 4.448436370766344x + 1y = 7 1x + 5y = 11 FINAL:
1.129827
1.129827
linear_system
0
sinusoid
2.5
1
120
55
4.467953
Solve this system for x: 4.4679529633786625x + 1y = 7 1x + 5y = 11 FINAL:
1.124661
1.124661
linear_system
0
sinusoid
2.5
1
120
56
4.482963
Solve this system for x: 4.482962913144534x + 1y = 7 1x + 5y = 11 FINAL:
1.120719
1.120719
linear_system
0
sinusoid
2.5
1
120
57
4.493322
Solve this system for x: 4.49332166604244x + 1y = 7 1x + 5y = 11 FINAL:
1.118015
1.118015
linear_system
0
sinusoid
2.5
1
120
58
4.498929
Solve this system for x: 4.498929461619301x + 1y = 7 1x + 5y = 11 FINAL:
1.116557
1.116557
linear_system
0
sinusoid
2.5
1
120
59
4.499732
Solve this system for x: 4.499732293738183x + 1y = 7 1x + 5y = 11 FINAL:
1.116349
1.116349
linear_system
0
sinusoid
2.5
1
120
60
4.495722
Solve this system for x: 4.4957224306869055x + 1y = 7 1x + 5y = 11 FINAL:
1.117391
1.117391
linear_system
0
sinusoid
2.5
1
120
61
4.486938
Solve this system for x: 4.486938489638667x + 1y = 7 1x + 5y = 11 FINAL:
1.11968
1.11968
linear_system
0
sinusoid
2.5
1
120
62
4.473465
Solve this system for x: 4.473465064747553x + 1y = 7 1x + 5y = 11 FINAL:
1.12321
1.12321
linear_system
0
sinusoid
2.5
1
120
63
4.455432
Solve this system for x: 4.455431912460588x + 1y = 7 1x + 5y = 11 FINAL:
1.12797
1.12797
linear_system
0
sinusoid
2.5
2
120
0
4.433013
Solve this system for x: 4.43301270189222x + 1y = 7 1x + 5y = 11 FINAL:
1.133944
1.133944
linear_system
0
sinusoid
2.5
2
120
1
4.37592
Solve this system for x: 4.375919903739489x + 1y = 7 1x + 5y = 11 FINAL:
1.149447
1.149447
linear_system
0
sinusoid
2.5
2
120
2
4.304381
Solve this system for x: 4.304380714504361x + 1y = 7 1x + 5y = 11 FINAL:
1.169482
1.169482
linear_system
0
sinusoid
2.5
2
120
3
4.221144
Solve this system for x: 4.221144345109501x + 1y = 7 1x + 5y = 11 FINAL:
1.19369
1.19369
linear_system
0
sinusoid
2.5
2
120
4
4.12941
Solve this system for x: 4.129409522551261x + 1y = 7 1x + 5y = 11 FINAL:
1.221558
1.221558
linear_system
0
sinusoid
2.5
2
120
5
4.032702
Solve this system for x: 4.0327015646150715x + 1y = 7 1x + 5y = 11 FINAL:
1.25238
1.25238
linear_system
0
sinusoid
2.5
2
120
6
3.934737
Solve this system for x: 3.9347369038899744x + 1y = 7 1x + 5y = 11 FINAL:
1.285231
1.285231
linear_system
0
sinusoid
2.5
2
120
7
3.83928
Solve this system for x: 3.8392802673484194x + 1y = 7 1x + 5y = 11 FINAL:
1.318942
1.318942
linear_system
0
sinusoid
2.5
2
120
8
3.75
Solve this system for x: 3.75x + 1y = 7 1x + 5y = 11 FINAL:
1.352113
1.352113
linear_system
0
sinusoid
2.5
2
120
9
3.670327
Solve this system for x: 3.670327092449966x + 1y = 7 1x + 5y = 11 FINAL:
1.383155
1.383155
linear_system
0
sinusoid
2.5
2
120
10
3.603323
Solve this system for x: 3.6033233298543825x + 1y = 7 1x + 5y = 11 FINAL:
1.410386
1.410386
linear_system
0
sinusoid
2.5
2
120
11
3.551564
Solve this system for x: 3.551563629233656x + 1y = 7 1x + 5y = 11 FINAL:
1.432167
1.432167
linear_system
0
sinusoid
2.5
2
120
12
3.517037
Solve this system for x: 3.5170370868554657x + 1y = 7 1x + 5y = 11 FINAL:
1.447075
1.447075
linear_system
0
sinusoid
2.5
2
120
13
3.501071
Solve this system for x: 3.501070538380698x + 1y = 7 1x + 5y = 11 FINAL:
1.454074
1.454074
linear_system
0
sinusoid
2.5
2
120
14
3.504278
Solve this system for x: 3.5042775693130945x + 1y = 7 1x + 5y = 11 FINAL:
1.452662
1.452662
linear_system
0
sinusoid
2.5
2
120
15
3.526535
Solve this system for x: 3.5265349352524473x + 1y = 7 1x + 5y = 11 FINAL:
1.442943
1.442943
linear_system
0
sinusoid
2.5
2
120
16
3.566987
Solve this system for x: 3.5669872981077804x + 1y = 7 1x + 5y = 11 FINAL:
1.425607
1.425607
linear_system
0
sinusoid
2.5
2
120
17
3.62408
Solve this system for x: 3.6240800962605113x + 1y = 7 1x + 5y = 11 FINAL:
1.401836
1.401836
linear_system
0
sinusoid
2.5
2
120
18
3.695619
Solve this system for x: 3.6956192854956393x + 1y = 7 1x + 5y = 11 FINAL:
1.373147
1.373147
linear_system
0
sinusoid
2.5
2
120
19
3.778856
Solve this system for x: 3.778855654890499x + 1y = 7 1x + 5y = 11 FINAL:
1.341211
1.341211
linear_system
0
sinusoid
2.5
2
120
20
3.87059
Solve this system for x: 3.8705904774487396x + 1y = 7 1x + 5y = 11 FINAL:
1.307692
1.307692
linear_system
0
sinusoid
2.5
2
120
21
3.967298
Solve this system for x: 3.967298435384928x + 1y = 7 1x + 5y = 11 FINAL:
1.274123
1.274123
linear_system
0
sinusoid
2.5
2
120
22
4.065263
Solve this system for x: 4.065263096110026x + 1y = 7 1x + 5y = 11 FINAL:
1.24183
1.24183
linear_system
0
sinusoid
2.5
2
120
23
4.16072
Solve this system for x: 4.160719732651581x + 1y = 7 1x + 5y = 11 FINAL:
1.211901
1.211901
linear_system
0
sinusoid
2.5
2
120
24
4.25
Solve this system for x: 4.25x + 1y = 7 1x + 5y = 11 FINAL:
1.185185
1.185185
linear_system
0
sinusoid
2.5
2
120
25
4.329673
Solve this system for x: 4.329672907550035x + 1y = 7 1x + 5y = 11 FINAL:
1.16232
1.16232
linear_system
0
sinusoid
2.5
2
120
26
4.396677
Solve this system for x: 4.3966766701456175x + 1y = 7 1x + 5y = 11 FINAL:
1.143762
1.143762
linear_system
0
sinusoid
2.5
2
120
27
4.448436
Solve this system for x: 4.448436370766344x + 1y = 7 1x + 5y = 11 FINAL:
1.129827
1.129827
linear_system
0
sinusoid
2.5
2
120
28
4.482963
Solve this system for x: 4.482962913144534x + 1y = 7 1x + 5y = 11 FINAL:
1.120719
1.120719
linear_system
0
sinusoid
2.5
2
120
29
4.498929
Solve this system for x: 4.498929461619301x + 1y = 7 1x + 5y = 11 FINAL:
1.116557
1.116557
linear_system
0
sinusoid
2.5
2
120
30
4.495722
Solve this system for x: 4.4957224306869055x + 1y = 7 1x + 5y = 11 FINAL:
1.117391
1.117391
linear_system
0
sinusoid
2.5
2
120
31
4.473465
Solve this system for x: 4.473465064747553x + 1y = 7 1x + 5y = 11 FINAL:
1.12321
1.12321
linear_system
0
sinusoid
2.5
2
120
32
4.433013
Solve this system for x: 4.43301270189222x + 1y = 7 1x + 5y = 11 FINAL:
1.133944
1.133944
linear_system
0
sinusoid
2.5
2
120
33
4.37592
Solve this system for x: 4.375919903739488x + 1y = 7 1x + 5y = 11 FINAL:
1.149447
1.149447
linear_system
0
sinusoid
2.5
2
120
34
4.304381
Solve this system for x: 4.304380714504361x + 1y = 7 1x + 5y = 11 FINAL:
1.169482
1.169482
linear_system
0
sinusoid
2.5
2
120
35
4.221144
Solve this system for x: 4.221144345109501x + 1y = 7 1x + 5y = 11 FINAL:
1.19369
1.19369
linear_system
0
sinusoid
2.5
2
120
36
4.12941
Solve this system for x: 4.129409522551261x + 1y = 7 1x + 5y = 11 FINAL:
1.221558
1.221558
linear_system
0
sinusoid
2.5
2
120
37
4.032702
Solve this system for x: 4.032701564615072x + 1y = 7 1x + 5y = 11 FINAL:
1.25238
1.25238
linear_system
0
sinusoid
2.5
2
120
38
3.934737
Solve this system for x: 3.934736903889975x + 1y = 7 1x + 5y = 11 FINAL:
1.285231
1.285231
linear_system
0
sinusoid
2.5
2
120
39
3.83928
Solve this system for x: 3.8392802673484194x + 1y = 7 1x + 5y = 11 FINAL:
1.318942
1.318942
linear_system
0
sinusoid
2.5
2
120
40
3.75
Solve this system for x: 3.7500000000000004x + 1y = 7 1x + 5y = 11 FINAL:
1.352113
1.352113
linear_system
0
sinusoid
2.5
2
120
41
3.670327
Solve this system for x: 3.6703270924499662x + 1y = 7 1x + 5y = 11 FINAL:
1.383155
1.383155
linear_system
0
sinusoid
2.5
2
120
42
3.603323
Solve this system for x: 3.6033233298543825x + 1y = 7 1x + 5y = 11 FINAL:
1.410386
1.410386
linear_system
0
sinusoid
2.5
2
120
43
3.551564
Solve this system for x: 3.551563629233656x + 1y = 7 1x + 5y = 11 FINAL:
1.432167
1.432167
linear_system
0
sinusoid
2.5
2
120
44
3.517037
Solve this system for x: 3.517037086855466x + 1y = 7 1x + 5y = 11 FINAL:
1.447075
1.447075
linear_system
0
sinusoid
2.5
2
120
45
3.501071
Solve this system for x: 3.501070538380698x + 1y = 7 1x + 5y = 11 FINAL:
1.454074
1.454074
linear_system
0
sinusoid
2.5
2
120
46
3.504278
Solve this system for x: 3.5042775693130945x + 1y = 7 1x + 5y = 11 FINAL:
1.452662
1.452662
linear_system
0
sinusoid
2.5
2
120
47
3.526535
Solve this system for x: 3.526534935252447x + 1y = 7 1x + 5y = 11 FINAL:
1.442943
1.442943
linear_system
0
sinusoid
2.5
2
120
48
3.566987
Solve this system for x: 3.5669872981077804x + 1y = 7 1x + 5y = 11 FINAL:
1.425607
1.425607
linear_system
0
sinusoid
2.5
2
120
49
3.62408
Solve this system for x: 3.624080096260511x + 1y = 7 1x + 5y = 11 FINAL:
1.401836
1.401836
linear_system
0
sinusoid
2.5
2
120
50
3.695619
Solve this system for x: 3.6956192854956393x + 1y = 7 1x + 5y = 11 FINAL:
1.373147
1.373147
linear_system
0
sinusoid
2.5
2
120
51
3.778856
Solve this system for x: 3.778855654890499x + 1y = 7 1x + 5y = 11 FINAL:
1.341211
1.341211
linear_system
0
sinusoid
2.5
2
120
52
3.87059
Solve this system for x: 3.8705904774487396x + 1y = 7 1x + 5y = 11 FINAL:
1.307692
1.307692
linear_system
0
sinusoid
2.5
2
120
53
3.967298
Solve this system for x: 3.967298435384928x + 1y = 7 1x + 5y = 11 FINAL:
1.274123
1.274123
linear_system
0
sinusoid
2.5
2
120
54
4.065263
Solve this system for x: 4.065263096110025x + 1y = 7 1x + 5y = 11 FINAL:
1.24183
1.24183
linear_system
0
sinusoid
2.5
2
120
55
4.16072
Solve this system for x: 4.160719732651581x + 1y = 7 1x + 5y = 11 FINAL:
1.211901
1.211901