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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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
2
120
56
4.25
Solve this system for x: 4.249999999999999x + 1y = 7 1x + 5y = 11 FINAL:
1.185185
1.185185
linear_system
0
sinusoid
2.5
2
120
57
4.329673
Solve this system for x: 4.329672907550034x + 1y = 7 1x + 5y = 11 FINAL:
1.16232
1.16232
linear_system
0
sinusoid
2.5
2
120
58
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
59
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
60
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
61
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
62
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
63
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
4
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
4
120
1
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
4
120
2
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
4
120
3
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
4
120
4
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
4
120
5
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
4
120
6
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
4
120
7
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
4
120
8
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
4
120
9
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
4
120
10
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
4
120
11
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
4
120
12
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
4
120
13
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
4
120
14
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
4
120
15
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
4
120
16
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
4
120
17
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
4
120
18
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
4
120
19
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
4
120
20
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
4
120
21
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
4
120
22
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
4
120
23
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
4
120
24
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
4
120
25
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
4
120
26
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
4
120
27
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
4
120
28
4.25
Solve this system for x: 4.249999999999999x + 1y = 7 1x + 5y = 11 FINAL:
1.185185
1.185185
linear_system
0
sinusoid
2.5
4
120
29
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
4
120
30
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
4
120
31
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
4
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
4
120
33
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
4
120
34
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
4
120
35
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
4
120
36
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
4
120
37
3.603323
Solve this system for x: 3.603323329854382x + 1y = 7 1x + 5y = 11 FINAL:
1.410386
1.410386
linear_system
0
sinusoid
2.5
4
120
38
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
4
120
39
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
4
120
40
3.566987
Solve this system for x: 3.566987298107781x + 1y = 7 1x + 5y = 11 FINAL:
1.425607
1.425607
linear_system
0
sinusoid
2.5
4
120
41
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
4
120
42
3.87059
Solve this system for x: 3.87059047744874x + 1y = 7 1x + 5y = 11 FINAL:
1.307692
1.307692
linear_system
0
sinusoid
2.5
4
120
43
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
4
120
44
4.25
Solve this system for x: 4.249999999999999x + 1y = 7 1x + 5y = 11 FINAL:
1.185185
1.185185
linear_system
0
sinusoid
2.5
4
120
45
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
4
120
46
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
4
120
47
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
4
120
48
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
4
120
49
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
4
120
50
4.12941
Solve this system for x: 4.12940952255126x + 1y = 7 1x + 5y = 11 FINAL:
1.221558
1.221558
linear_system
0
sinusoid
2.5
4
120
51
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
4
120
52
3.75
Solve this system for x: 3.749999999999999x + 1y = 7 1x + 5y = 11 FINAL:
1.352113
1.352113
linear_system
0
sinusoid
2.5
4
120
53
3.603323
Solve this system for x: 3.603323329854382x + 1y = 7 1x + 5y = 11 FINAL:
1.410386
1.410386
linear_system
0
sinusoid
2.5
4
120
54
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
4
120
55
3.504278
Solve this system for x: 3.504277569313095x + 1y = 7 1x + 5y = 11 FINAL:
1.452662
1.452662
linear_system
0
sinusoid
2.5
4
120
56
3.566987
Solve this system for x: 3.566987298107781x + 1y = 7 1x + 5y = 11 FINAL:
1.425607
1.425607
linear_system
0
sinusoid
2.5
4
120
57
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
4
120
58
3.87059
Solve this system for x: 3.87059047744874x + 1y = 7 1x + 5y = 11 FINAL:
1.307692
1.307692
linear_system
0
sinusoid
2.5
4
120
59
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
4
120
60
4.25
Solve this system for x: 4.249999999999999x + 1y = 7 1x + 5y = 11 FINAL:
1.185185
1.185185
linear_system
0
sinusoid
2.5
4
120
61
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
4
120
62
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
4
120
63
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
8
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
8
120
1
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
8
120
2
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
8
120
3
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
8
120
4
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
8
120
5
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
8
120
6
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
8
120
7
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
8
120
8
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
8
120
9
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
8
120
10
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
8
120
11
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
8
120
12
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
8
120
13
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
8
120
14
4.25
Solve this system for x: 4.249999999999999x + 1y = 7 1x + 5y = 11 FINAL:
1.185185
1.185185
linear_system
0
sinusoid
2.5
8
120
15
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
8
120
16
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
8
120
17
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
8
120
18
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
8
120
19
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
8
120
20
3.566987
Solve this system for x: 3.566987298107781x + 1y = 7 1x + 5y = 11 FINAL:
1.425607
1.425607
linear_system
0
sinusoid
2.5
8
120
21
3.87059
Solve this system for x: 3.87059047744874x + 1y = 7 1x + 5y = 11 FINAL:
1.307692
1.307692
linear_system
0
sinusoid
2.5
8
120
22
4.25
Solve this system for x: 4.249999999999999x + 1y = 7 1x + 5y = 11 FINAL:
1.185185
1.185185
linear_system
0
sinusoid
2.5
8
120
23
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
8
120
24
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
8
120
25
4.12941
Solve this system for x: 4.12940952255126x + 1y = 7 1x + 5y = 11 FINAL:
1.221558
1.221558
linear_system
0
sinusoid
2.5
8
120
26
3.75
Solve this system for x: 3.749999999999999x + 1y = 7 1x + 5y = 11 FINAL:
1.352113
1.352113
linear_system
0
sinusoid
2.5
8
120
27
3.517037
Solve this system for x: 3.517037086855466x + 1y = 7 1x + 5y = 11 FINAL:
1.447075
1.447075