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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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
240
36
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
240
37
3.551564
Solve this system for x: 3.5515636292336557x + 1y = 7 1x + 5y = 11 FINAL:
1.432167
1.432167
linear_system
0
sinusoid
2.5
2
240
38
3.603323
Solve this system for x: 3.6033233298543816x + 1y = 7 1x + 5y = 11 FINAL:
1.410386
1.410386
linear_system
0
sinusoid
2.5
2
240
39
3.670327
Solve this system for x: 3.6703270924499654x + 1y = 7 1x + 5y = 11 FINAL:
1.383155
1.383155
linear_system
0
sinusoid
2.5
2
240
40
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
240
41
3.83928
Solve this system for x: 3.839280267348419x + 1y = 7 1x + 5y = 11 FINAL:
1.318942
1.318942
linear_system
0
sinusoid
2.5
2
240
42
3.934737
Solve this system for x: 3.9347369038899735x + 1y = 7 1x + 5y = 11 FINAL:
1.285231
1.285231
linear_system
0
sinusoid
2.5
2
240
43
4.032702
Solve this system for x: 4.032701564615071x + 1y = 7 1x + 5y = 11 FINAL:
1.25238
1.25238
linear_system
0
sinusoid
2.5
2
240
44
4.12941
Solve this system for x: 4.129409522551259x + 1y = 7 1x + 5y = 11 FINAL:
1.221558
1.221558
linear_system
0
sinusoid
2.5
2
240
45
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
240
46
4.304381
Solve this system for x: 4.30438071450436x + 1y = 7 1x + 5y = 11 FINAL:
1.169482
1.169482
linear_system
0
sinusoid
2.5
2
240
47
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
240
48
4.433013
Solve this system for x: 4.433012701892219x + 1y = 7 1x + 5y = 11 FINAL:
1.133944
1.133944
linear_system
0
sinusoid
2.5
2
240
49
4.473465
Solve this system for x: 4.473465064747552x + 1y = 7 1x + 5y = 11 FINAL:
1.12321
1.12321
linear_system
0
sinusoid
2.5
2
240
50
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
240
51
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
240
52
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
240
53
4.448436
Solve this system for x: 4.448436370766345x + 1y = 7 1x + 5y = 11 FINAL:
1.129827
1.129827
linear_system
0
sinusoid
2.5
2
240
54
4.396677
Solve this system for x: 4.396676670145618x + 1y = 7 1x + 5y = 11 FINAL:
1.143762
1.143762
linear_system
0
sinusoid
2.5
2
240
55
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
240
56
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
240
57
4.16072
Solve this system for x: 4.1607197326515815x + 1y = 7 1x + 5y = 11 FINAL:
1.211901
1.211901
linear_system
0
sinusoid
2.5
2
240
58
4.065263
Solve this system for x: 4.0652630961100265x + 1y = 7 1x + 5y = 11 FINAL:
1.24183
1.24183
linear_system
0
sinusoid
2.5
2
240
59
3.967298
Solve this system for x: 3.9672984353849294x + 1y = 7 1x + 5y = 11 FINAL:
1.274123
1.274123
linear_system
0
sinusoid
2.5
2
240
60
3.87059
Solve this system for x: 3.870590477448741x + 1y = 7 1x + 5y = 11 FINAL:
1.307692
1.307692
linear_system
0
sinusoid
2.5
2
240
61
3.778856
Solve this system for x: 3.7788556548904992x + 1y = 7 1x + 5y = 11 FINAL:
1.341211
1.341211
linear_system
0
sinusoid
2.5
2
240
62
3.695619
Solve this system for x: 3.69561928549564x + 1y = 7 1x + 5y = 11 FINAL:
1.373147
1.373147
linear_system
0
sinusoid
2.5
2
240
63
3.62408
Solve this system for x: 3.6240800962605118x + 1y = 7 1x + 5y = 11 FINAL:
1.401836
1.401836
linear_system
0
sinusoid
2.5
4
240
0
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
240
1
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
240
2
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
240
3
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
240
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
240
5
3.934737
Solve this system for x: 3.9347369038899735x + 1y = 7 1x + 5y = 11 FINAL:
1.285231
1.285231
linear_system
0
sinusoid
2.5
4
240
6
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
240
7
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
240
8
4.433013
Solve this system for x: 4.433012701892219x + 1y = 7 1x + 5y = 11 FINAL:
1.133944
1.133944
linear_system
0
sinusoid
2.5
4
240
9
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
240
10
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
240
11
4.396677
Solve this system for x: 4.396676670145618x + 1y = 7 1x + 5y = 11 FINAL:
1.143762
1.143762
linear_system
0
sinusoid
2.5
4
240
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
240
13
4.065263
Solve this system for x: 4.0652630961100265x + 1y = 7 1x + 5y = 11 FINAL:
1.24183
1.24183
linear_system
0
sinusoid
2.5
4
240
14
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
240
15
3.695619
Solve this system for x: 3.69561928549564x + 1y = 7 1x + 5y = 11 FINAL:
1.373147
1.373147
linear_system
0
sinusoid
2.5
4
240
16
3.566987
Solve this system for x: 3.5669872981077813x + 1y = 7 1x + 5y = 11 FINAL:
1.425607
1.425607
linear_system
0
sinusoid
2.5
4
240
17
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
240
18
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
240
19
3.603323
Solve this system for x: 3.6033233298543816x + 1y = 7 1x + 5y = 11 FINAL:
1.410386
1.410386
linear_system
0
sinusoid
2.5
4
240
20
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
240
21
3.934737
Solve this system for x: 3.9347369038899735x + 1y = 7 1x + 5y = 11 FINAL:
1.285231
1.285231
linear_system
0
sinusoid
2.5
4
240
22
4.12941
Solve this system for x: 4.129409522551259x + 1y = 7 1x + 5y = 11 FINAL:
1.221558
1.221558
linear_system
0
sinusoid
2.5
4
240
23
4.304381
Solve this system for x: 4.30438071450436x + 1y = 7 1x + 5y = 11 FINAL:
1.169482
1.169482
linear_system
0
sinusoid
2.5
4
240
24
4.433013
Solve this system for x: 4.433012701892219x + 1y = 7 1x + 5y = 11 FINAL:
1.133944
1.133944
linear_system
0
sinusoid
2.5
4
240
25
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
240
26
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
240
27
4.396677
Solve this system for x: 4.396676670145618x + 1y = 7 1x + 5y = 11 FINAL:
1.143762
1.143762
linear_system
0
sinusoid
2.5
4
240
28
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
240
29
4.065263
Solve this system for x: 4.0652630961100265x + 1y = 7 1x + 5y = 11 FINAL:
1.24183
1.24183
linear_system
0
sinusoid
2.5
4
240
30
3.87059
Solve this system for x: 3.870590477448741x + 1y = 7 1x + 5y = 11 FINAL:
1.307692
1.307692
linear_system
0
sinusoid
2.5
4
240
31
3.695619
Solve this system for x: 3.69561928549564x + 1y = 7 1x + 5y = 11 FINAL:
1.373147
1.373147
linear_system
0
sinusoid
2.5
4
240
32
3.566987
Solve this system for x: 3.5669872981077813x + 1y = 7 1x + 5y = 11 FINAL:
1.425607
1.425607
linear_system
0
sinusoid
2.5
4
240
33
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
240
34
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
240
35
3.603323
Solve this system for x: 3.6033233298543816x + 1y = 7 1x + 5y = 11 FINAL:
1.410386
1.410386
linear_system
0
sinusoid
2.5
4
240
36
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
240
37
3.934737
Solve this system for x: 3.9347369038899735x + 1y = 7 1x + 5y = 11 FINAL:
1.285231
1.285231
linear_system
0
sinusoid
2.5
4
240
38
4.12941
Solve this system for x: 4.129409522551259x + 1y = 7 1x + 5y = 11 FINAL:
1.221558
1.221558
linear_system
0
sinusoid
2.5
4
240
39
4.304381
Solve this system for x: 4.30438071450436x + 1y = 7 1x + 5y = 11 FINAL:
1.169482
1.169482
linear_system
0
sinusoid
2.5
4
240
40
4.433013
Solve this system for x: 4.433012701892219x + 1y = 7 1x + 5y = 11 FINAL:
1.133944
1.133944
linear_system
0
sinusoid
2.5
4
240
41
4.495722
Solve this system for x: 4.495722430686905x + 1y = 7 1x + 5y = 11 FINAL:
1.117391
1.117391
linear_system
0
sinusoid
2.5
4
240
42
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
240
43
4.396677
Solve this system for x: 4.396676670145618x + 1y = 7 1x + 5y = 11 FINAL:
1.143762
1.143762
linear_system
0
sinusoid
2.5
4
240
44
4.25
Solve this system for x: 4.250000000000002x + 1y = 7 1x + 5y = 11 FINAL:
1.185185
1.185185
linear_system
0
sinusoid
2.5
4
240
45
4.065263
Solve this system for x: 4.0652630961100265x + 1y = 7 1x + 5y = 11 FINAL:
1.24183
1.24183
linear_system
0
sinusoid
2.5
4
240
46
3.87059
Solve this system for x: 3.870590477448741x + 1y = 7 1x + 5y = 11 FINAL:
1.307692
1.307692
linear_system
0
sinusoid
2.5
4
240
47
3.695619
Solve this system for x: 3.69561928549564x + 1y = 7 1x + 5y = 11 FINAL:
1.373147
1.373147
linear_system
0
sinusoid
2.5
4
240
48
3.566987
Solve this system for x: 3.5669872981077813x + 1y = 7 1x + 5y = 11 FINAL:
1.425607
1.425607
linear_system
0
sinusoid
2.5
4
240
49
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
240
50
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
240
51
3.603323
Solve this system for x: 3.6033233298543816x + 1y = 7 1x + 5y = 11 FINAL:
1.410386
1.410386
linear_system
0
sinusoid
2.5
4
240
52
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
240
53
3.934737
Solve this system for x: 3.9347369038899735x + 1y = 7 1x + 5y = 11 FINAL:
1.285231
1.285231
linear_system
0
sinusoid
2.5
4
240
54
4.12941
Solve this system for x: 4.129409522551259x + 1y = 7 1x + 5y = 11 FINAL:
1.221558
1.221558
linear_system
0
sinusoid
2.5
4
240
55
4.304381
Solve this system for x: 4.30438071450436x + 1y = 7 1x + 5y = 11 FINAL:
1.169482
1.169482
linear_system
0
sinusoid
2.5
4
240
56
4.433013
Solve this system for x: 4.433012701892219x + 1y = 7 1x + 5y = 11 FINAL:
1.133944
1.133944
linear_system
0
sinusoid
2.5
4
240
57
4.495722
Solve this system for x: 4.495722430686905x + 1y = 7 1x + 5y = 11 FINAL:
1.117391
1.117391
linear_system
0
sinusoid
2.5
4
240
58
4.482963
Solve this system for x: 4.482962913144535x + 1y = 7 1x + 5y = 11 FINAL:
1.120719
1.120719
linear_system
0
sinusoid
2.5
4
240
59
4.396677
Solve this system for x: 4.396676670145618x + 1y = 7 1x + 5y = 11 FINAL:
1.143762
1.143762
linear_system
0
sinusoid
2.5
4
240
60
4.25
Solve this system for x: 4.250000000000002x + 1y = 7 1x + 5y = 11 FINAL:
1.185185
1.185185
linear_system
0
sinusoid
2.5
4
240
61
4.065263
Solve this system for x: 4.0652630961100265x + 1y = 7 1x + 5y = 11 FINAL:
1.24183
1.24183
linear_system
0
sinusoid
2.5
4
240
62
3.87059
Solve this system for x: 3.870590477448741x + 1y = 7 1x + 5y = 11 FINAL:
1.307692
1.307692
linear_system
0
sinusoid
2.5
4
240
63
3.695619
Solve this system for x: 3.6956192854956402x + 1y = 7 1x + 5y = 11 FINAL:
1.373147
1.373147
linear_system
0
sinusoid
2.5
8
240
0
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
240
1
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
240
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
240
3
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
240
4
4.433013
Solve this system for x: 4.433012701892219x + 1y = 7 1x + 5y = 11 FINAL:
1.133944
1.133944
linear_system
0
sinusoid
2.5
8
240
5
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
240
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
240
7
3.87059
Solve this system for x: 3.87059047744874x + 1y = 7 1x + 5y = 11 FINAL:
1.307692
1.307692