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
3.5
4.5
prompt
stringlengths
59
76
ground_truth
float64
0.52
2.33
symbolic_baseline_answer
float64
0.52
2.33
linear_system
1
sinusoid
2.5
4
240
12
4.25
Solve this system for x: 4.25x + 2y = 8 1x + 3y = 9 FINAL:
0.55814
0.55814
linear_system
1
sinusoid
2.5
4
240
13
4.065263
Solve this system for x: 4.0652630961100265x + 2y = 8 1x + 3y = 9 FINAL:
0.588478
0.588478
linear_system
1
sinusoid
2.5
4
240
14
3.87059
Solve this system for x: 3.87059047744874x + 2y = 8 1x + 3y = 9 FINAL:
0.624235
0.624235
linear_system
1
sinusoid
2.5
4
240
15
3.695619
Solve this system for x: 3.69561928549564x + 2y = 8 1x + 3y = 9 FINAL:
0.660294
0.660294
linear_system
1
sinusoid
2.5
4
240
16
3.566987
Solve this system for x: 3.5669872981077813x + 2y = 8 1x + 3y = 9 FINAL:
0.689579
0.689579
linear_system
1
sinusoid
2.5
4
240
17
3.504278
Solve this system for x: 3.5042775693130945x + 2y = 8 1x + 3y = 9 FINAL:
0.704818
0.704818
linear_system
1
sinusoid
2.5
4
240
18
3.517037
Solve this system for x: 3.5170370868554657x + 2y = 8 1x + 3y = 9 FINAL:
0.701663
0.701663
linear_system
1
sinusoid
2.5
4
240
19
3.603323
Solve this system for x: 3.6033233298543816x + 2y = 8 1x + 3y = 9 FINAL:
0.681047
0.681047
linear_system
1
sinusoid
2.5
4
240
20
3.75
Solve this system for x: 3.75x + 2y = 8 1x + 3y = 9 FINAL:
0.648649
0.648649
linear_system
1
sinusoid
2.5
4
240
21
3.934737
Solve this system for x: 3.9347369038899735x + 2y = 8 1x + 3y = 9 FINAL:
0.611982
0.611982
linear_system
1
sinusoid
2.5
4
240
22
4.12941
Solve this system for x: 4.129409522551259x + 2y = 8 1x + 3y = 9 FINAL:
0.577577
0.577577
linear_system
1
sinusoid
2.5
4
240
23
4.304381
Solve this system for x: 4.30438071450436x + 2y = 8 1x + 3y = 9 FINAL:
0.549796
0.549796
linear_system
1
sinusoid
2.5
4
240
24
4.433013
Solve this system for x: 4.433012701892219x + 2y = 8 1x + 3y = 9 FINAL:
0.531019
0.531019
linear_system
1
sinusoid
2.5
4
240
25
4.495722
Solve this system for x: 4.4957224306869055x + 2y = 8 1x + 3y = 9 FINAL:
0.522322
0.522322
linear_system
1
sinusoid
2.5
4
240
26
4.482963
Solve this system for x: 4.482962913144534x + 2y = 8 1x + 3y = 9 FINAL:
0.524068
0.524068
linear_system
1
sinusoid
2.5
4
240
27
4.396677
Solve this system for x: 4.396676670145618x + 2y = 8 1x + 3y = 9 FINAL:
0.536192
0.536192
linear_system
1
sinusoid
2.5
4
240
28
4.25
Solve this system for x: 4.25x + 2y = 8 1x + 3y = 9 FINAL:
0.55814
0.55814
linear_system
1
sinusoid
2.5
4
240
29
4.065263
Solve this system for x: 4.0652630961100265x + 2y = 8 1x + 3y = 9 FINAL:
0.588478
0.588478
linear_system
1
sinusoid
2.5
4
240
30
3.87059
Solve this system for x: 3.870590477448741x + 2y = 8 1x + 3y = 9 FINAL:
0.624235
0.624235
linear_system
1
sinusoid
2.5
4
240
31
3.695619
Solve this system for x: 3.69561928549564x + 2y = 8 1x + 3y = 9 FINAL:
0.660294
0.660294
linear_system
1
sinusoid
2.5
4
240
32
3.566987
Solve this system for x: 3.5669872981077813x + 2y = 8 1x + 3y = 9 FINAL:
0.689579
0.689579
linear_system
1
sinusoid
2.5
4
240
33
3.504278
Solve this system for x: 3.5042775693130945x + 2y = 8 1x + 3y = 9 FINAL:
0.704818
0.704818
linear_system
1
sinusoid
2.5
4
240
34
3.517037
Solve this system for x: 3.5170370868554657x + 2y = 8 1x + 3y = 9 FINAL:
0.701663
0.701663
linear_system
1
sinusoid
2.5
4
240
35
3.603323
Solve this system for x: 3.6033233298543816x + 2y = 8 1x + 3y = 9 FINAL:
0.681047
0.681047
linear_system
1
sinusoid
2.5
4
240
36
3.75
Solve this system for x: 3.75x + 2y = 8 1x + 3y = 9 FINAL:
0.648649
0.648649
linear_system
1
sinusoid
2.5
4
240
37
3.934737
Solve this system for x: 3.9347369038899735x + 2y = 8 1x + 3y = 9 FINAL:
0.611982
0.611982
linear_system
1
sinusoid
2.5
4
240
38
4.12941
Solve this system for x: 4.129409522551259x + 2y = 8 1x + 3y = 9 FINAL:
0.577577
0.577577
linear_system
1
sinusoid
2.5
4
240
39
4.304381
Solve this system for x: 4.30438071450436x + 2y = 8 1x + 3y = 9 FINAL:
0.549796
0.549796
linear_system
1
sinusoid
2.5
4
240
40
4.433013
Solve this system for x: 4.433012701892219x + 2y = 8 1x + 3y = 9 FINAL:
0.531019
0.531019
linear_system
1
sinusoid
2.5
4
240
41
4.495722
Solve this system for x: 4.495722430686905x + 2y = 8 1x + 3y = 9 FINAL:
0.522322
0.522322
linear_system
1
sinusoid
2.5
4
240
42
4.482963
Solve this system for x: 4.482962913144534x + 2y = 8 1x + 3y = 9 FINAL:
0.524068
0.524068
linear_system
1
sinusoid
2.5
4
240
43
4.396677
Solve this system for x: 4.396676670145618x + 2y = 8 1x + 3y = 9 FINAL:
0.536192
0.536192
linear_system
1
sinusoid
2.5
4
240
44
4.25
Solve this system for x: 4.250000000000002x + 2y = 8 1x + 3y = 9 FINAL:
0.55814
0.55814
linear_system
1
sinusoid
2.5
4
240
45
4.065263
Solve this system for x: 4.0652630961100265x + 2y = 8 1x + 3y = 9 FINAL:
0.588478
0.588478
linear_system
1
sinusoid
2.5
4
240
46
3.87059
Solve this system for x: 3.870590477448741x + 2y = 8 1x + 3y = 9 FINAL:
0.624235
0.624235
linear_system
1
sinusoid
2.5
4
240
47
3.695619
Solve this system for x: 3.69561928549564x + 2y = 8 1x + 3y = 9 FINAL:
0.660294
0.660294
linear_system
1
sinusoid
2.5
4
240
48
3.566987
Solve this system for x: 3.5669872981077813x + 2y = 8 1x + 3y = 9 FINAL:
0.689579
0.689579
linear_system
1
sinusoid
2.5
4
240
49
3.504278
Solve this system for x: 3.504277569313095x + 2y = 8 1x + 3y = 9 FINAL:
0.704818
0.704818
linear_system
1
sinusoid
2.5
4
240
50
3.517037
Solve this system for x: 3.5170370868554657x + 2y = 8 1x + 3y = 9 FINAL:
0.701663
0.701663
linear_system
1
sinusoid
2.5
4
240
51
3.603323
Solve this system for x: 3.6033233298543816x + 2y = 8 1x + 3y = 9 FINAL:
0.681047
0.681047
linear_system
1
sinusoid
2.5
4
240
52
3.75
Solve this system for x: 3.75x + 2y = 8 1x + 3y = 9 FINAL:
0.648649
0.648649
linear_system
1
sinusoid
2.5
4
240
53
3.934737
Solve this system for x: 3.9347369038899735x + 2y = 8 1x + 3y = 9 FINAL:
0.611982
0.611982
linear_system
1
sinusoid
2.5
4
240
54
4.12941
Solve this system for x: 4.129409522551259x + 2y = 8 1x + 3y = 9 FINAL:
0.577577
0.577577
linear_system
1
sinusoid
2.5
4
240
55
4.304381
Solve this system for x: 4.30438071450436x + 2y = 8 1x + 3y = 9 FINAL:
0.549796
0.549796
linear_system
1
sinusoid
2.5
4
240
56
4.433013
Solve this system for x: 4.433012701892219x + 2y = 8 1x + 3y = 9 FINAL:
0.531019
0.531019
linear_system
1
sinusoid
2.5
4
240
57
4.495722
Solve this system for x: 4.495722430686905x + 2y = 8 1x + 3y = 9 FINAL:
0.522322
0.522322
linear_system
1
sinusoid
2.5
4
240
58
4.482963
Solve this system for x: 4.482962913144535x + 2y = 8 1x + 3y = 9 FINAL:
0.524068
0.524068
linear_system
1
sinusoid
2.5
4
240
59
4.396677
Solve this system for x: 4.396676670145618x + 2y = 8 1x + 3y = 9 FINAL:
0.536192
0.536192
linear_system
1
sinusoid
2.5
4
240
60
4.25
Solve this system for x: 4.250000000000002x + 2y = 8 1x + 3y = 9 FINAL:
0.55814
0.55814
linear_system
1
sinusoid
2.5
4
240
61
4.065263
Solve this system for x: 4.0652630961100265x + 2y = 8 1x + 3y = 9 FINAL:
0.588478
0.588478
linear_system
1
sinusoid
2.5
4
240
62
3.87059
Solve this system for x: 3.870590477448741x + 2y = 8 1x + 3y = 9 FINAL:
0.624235
0.624235
linear_system
1
sinusoid
2.5
4
240
63
3.695619
Solve this system for x: 3.6956192854956402x + 2y = 8 1x + 3y = 9 FINAL:
0.660294
0.660294
linear_system
1
sinusoid
2.5
8
240
0
3.566987
Solve this system for x: 3.566987298107781x + 2y = 8 1x + 3y = 9 FINAL:
0.689579
0.689579
linear_system
1
sinusoid
2.5
8
240
1
3.517037
Solve this system for x: 3.5170370868554657x + 2y = 8 1x + 3y = 9 FINAL:
0.701663
0.701663
linear_system
1
sinusoid
2.5
8
240
2
3.75
Solve this system for x: 3.75x + 2y = 8 1x + 3y = 9 FINAL:
0.648649
0.648649
linear_system
1
sinusoid
2.5
8
240
3
4.12941
Solve this system for x: 4.12940952255126x + 2y = 8 1x + 3y = 9 FINAL:
0.577577
0.577577
linear_system
1
sinusoid
2.5
8
240
4
4.433013
Solve this system for x: 4.433012701892219x + 2y = 8 1x + 3y = 9 FINAL:
0.531019
0.531019
linear_system
1
sinusoid
2.5
8
240
5
4.482963
Solve this system for x: 4.482962913144534x + 2y = 8 1x + 3y = 9 FINAL:
0.524068
0.524068
linear_system
1
sinusoid
2.5
8
240
6
4.25
Solve this system for x: 4.25x + 2y = 8 1x + 3y = 9 FINAL:
0.55814
0.55814
linear_system
1
sinusoid
2.5
8
240
7
3.87059
Solve this system for x: 3.87059047744874x + 2y = 8 1x + 3y = 9 FINAL:
0.624235
0.624235
linear_system
1
sinusoid
2.5
8
240
8
3.566987
Solve this system for x: 3.5669872981077813x + 2y = 8 1x + 3y = 9 FINAL:
0.689579
0.689579
linear_system
1
sinusoid
2.5
8
240
9
3.517037
Solve this system for x: 3.5170370868554657x + 2y = 8 1x + 3y = 9 FINAL:
0.701663
0.701663
linear_system
1
sinusoid
2.5
8
240
10
3.75
Solve this system for x: 3.75x + 2y = 8 1x + 3y = 9 FINAL:
0.648649
0.648649
linear_system
1
sinusoid
2.5
8
240
11
4.12941
Solve this system for x: 4.129409522551259x + 2y = 8 1x + 3y = 9 FINAL:
0.577577
0.577577
linear_system
1
sinusoid
2.5
8
240
12
4.433013
Solve this system for x: 4.433012701892219x + 2y = 8 1x + 3y = 9 FINAL:
0.531019
0.531019
linear_system
1
sinusoid
2.5
8
240
13
4.482963
Solve this system for x: 4.482962913144534x + 2y = 8 1x + 3y = 9 FINAL:
0.524068
0.524068
linear_system
1
sinusoid
2.5
8
240
14
4.25
Solve this system for x: 4.25x + 2y = 8 1x + 3y = 9 FINAL:
0.55814
0.55814
linear_system
1
sinusoid
2.5
8
240
15
3.87059
Solve this system for x: 3.870590477448741x + 2y = 8 1x + 3y = 9 FINAL:
0.624235
0.624235
linear_system
1
sinusoid
2.5
8
240
16
3.566987
Solve this system for x: 3.5669872981077813x + 2y = 8 1x + 3y = 9 FINAL:
0.689579
0.689579
linear_system
1
sinusoid
2.5
8
240
17
3.517037
Solve this system for x: 3.5170370868554657x + 2y = 8 1x + 3y = 9 FINAL:
0.701663
0.701663
linear_system
1
sinusoid
2.5
8
240
18
3.75
Solve this system for x: 3.75x + 2y = 8 1x + 3y = 9 FINAL:
0.648649
0.648649
linear_system
1
sinusoid
2.5
8
240
19
4.12941
Solve this system for x: 4.129409522551259x + 2y = 8 1x + 3y = 9 FINAL:
0.577577
0.577577
linear_system
1
sinusoid
2.5
8
240
20
4.433013
Solve this system for x: 4.433012701892219x + 2y = 8 1x + 3y = 9 FINAL:
0.531019
0.531019
linear_system
1
sinusoid
2.5
8
240
21
4.482963
Solve this system for x: 4.482962913144534x + 2y = 8 1x + 3y = 9 FINAL:
0.524068
0.524068
linear_system
1
sinusoid
2.5
8
240
22
4.25
Solve this system for x: 4.250000000000002x + 2y = 8 1x + 3y = 9 FINAL:
0.55814
0.55814
linear_system
1
sinusoid
2.5
8
240
23
3.87059
Solve this system for x: 3.870590477448741x + 2y = 8 1x + 3y = 9 FINAL:
0.624235
0.624235
linear_system
1
sinusoid
2.5
8
240
24
3.566987
Solve this system for x: 3.5669872981077813x + 2y = 8 1x + 3y = 9 FINAL:
0.689579
0.689579
linear_system
1
sinusoid
2.5
8
240
25
3.517037
Solve this system for x: 3.5170370868554657x + 2y = 8 1x + 3y = 9 FINAL:
0.701663
0.701663
linear_system
1
sinusoid
2.5
8
240
26
3.75
Solve this system for x: 3.75x + 2y = 8 1x + 3y = 9 FINAL:
0.648649
0.648649
linear_system
1
sinusoid
2.5
8
240
27
4.12941
Solve this system for x: 4.129409522551259x + 2y = 8 1x + 3y = 9 FINAL:
0.577577
0.577577
linear_system
1
sinusoid
2.5
8
240
28
4.433013
Solve this system for x: 4.433012701892219x + 2y = 8 1x + 3y = 9 FINAL:
0.531019
0.531019
linear_system
1
sinusoid
2.5
8
240
29
4.482963
Solve this system for x: 4.482962913144535x + 2y = 8 1x + 3y = 9 FINAL:
0.524068
0.524068
linear_system
1
sinusoid
2.5
8
240
30
4.25
Solve this system for x: 4.250000000000002x + 2y = 8 1x + 3y = 9 FINAL:
0.55814
0.55814
linear_system
1
sinusoid
2.5
8
240
31
3.87059
Solve this system for x: 3.870590477448741x + 2y = 8 1x + 3y = 9 FINAL:
0.624235
0.624235
linear_system
1
sinusoid
2.5
8
240
32
3.566987
Solve this system for x: 3.5669872981077813x + 2y = 8 1x + 3y = 9 FINAL:
0.689579
0.689579
linear_system
1
sinusoid
2.5
8
240
33
3.517037
Solve this system for x: 3.5170370868554657x + 2y = 8 1x + 3y = 9 FINAL:
0.701663
0.701663
linear_system
1
sinusoid
2.5
8
240
34
3.75
Solve this system for x: 3.7499999999999996x + 2y = 8 1x + 3y = 9 FINAL:
0.648649
0.648649
linear_system
1
sinusoid
2.5
8
240
35
4.12941
Solve this system for x: 4.129409522551259x + 2y = 8 1x + 3y = 9 FINAL:
0.577577
0.577577
linear_system
1
sinusoid
2.5
8
240
36
4.433013
Solve this system for x: 4.433012701892219x + 2y = 8 1x + 3y = 9 FINAL:
0.531019
0.531019
linear_system
1
sinusoid
2.5
8
240
37
4.482963
Solve this system for x: 4.482962913144534x + 2y = 8 1x + 3y = 9 FINAL:
0.524068
0.524068
linear_system
1
sinusoid
2.5
8
240
38
4.25
Solve this system for x: 4.25x + 2y = 8 1x + 3y = 9 FINAL:
0.55814
0.55814
linear_system
1
sinusoid
2.5
8
240
39
3.87059
Solve this system for x: 3.8705904774487414x + 2y = 8 1x + 3y = 9 FINAL:
0.624235
0.624235
linear_system
1
sinusoid
2.5
8
240
40
3.566987
Solve this system for x: 3.5669872981077804x + 2y = 8 1x + 3y = 9 FINAL:
0.689579
0.689579
linear_system
1
sinusoid
2.5
8
240
41
3.517037
Solve this system for x: 3.5170370868554657x + 2y = 8 1x + 3y = 9 FINAL:
0.701663
0.701663
linear_system
1
sinusoid
2.5
8
240
42
3.75
Solve this system for x: 3.7500000000000013x + 2y = 8 1x + 3y = 9 FINAL:
0.648649
0.648649
linear_system
1
sinusoid
2.5
8
240
43
4.12941
Solve this system for x: 4.12940952255126x + 2y = 8 1x + 3y = 9 FINAL:
0.577577
0.577577
linear_system
1
sinusoid
2.5
8
240
44
4.433013
Solve this system for x: 4.433012701892219x + 2y = 8 1x + 3y = 9 FINAL:
0.531019
0.531019
linear_system
1
sinusoid
2.5
8
240
45
4.482963
Solve this system for x: 4.482962913144534x + 2y = 8 1x + 3y = 9 FINAL:
0.524068
0.524068
linear_system
1
sinusoid
2.5
8
240
46
4.25
Solve this system for x: 4.25x + 2y = 8 1x + 3y = 9 FINAL:
0.55814
0.55814
linear_system
1
sinusoid
2.5
8
240
47
3.87059
Solve this system for x: 3.870590477448738x + 2y = 8 1x + 3y = 9 FINAL:
0.624235
0.624235