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
16
120
4
4.433013
Solve this system for x: 4.43301270189222x + 2y = 8 1x + 3y = 9 FINAL:
0.531019
0.531019
linear_system
1
sinusoid
2.5
16
120
5
3.75
Solve this system for x: 3.7500000000000004x + 2y = 8 1x + 3y = 9 FINAL:
0.648649
0.648649
linear_system
1
sinusoid
2.5
16
120
6
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
16
120
7
4.25
Solve this system for x: 4.249999999999999x + 2y = 8 1x + 3y = 9 FINAL:
0.55814
0.55814
linear_system
1
sinusoid
2.5
16
120
8
4.433013
Solve this system for x: 4.43301270189222x + 2y = 8 1x + 3y = 9 FINAL:
0.531019
0.531019
linear_system
1
sinusoid
2.5
16
120
9
3.75
Solve this system for x: 3.7500000000000004x + 2y = 8 1x + 3y = 9 FINAL:
0.648649
0.648649
linear_system
1
sinusoid
2.5
16
120
10
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
16
120
11
4.25
Solve this system for x: 4.249999999999999x + 2y = 8 1x + 3y = 9 FINAL:
0.55814
0.55814
linear_system
1
sinusoid
2.5
16
120
12
4.433013
Solve this system for x: 4.43301270189222x + 2y = 8 1x + 3y = 9 FINAL:
0.531019
0.531019
linear_system
1
sinusoid
2.5
16
120
13
3.75
Solve this system for x: 3.749999999999999x + 2y = 8 1x + 3y = 9 FINAL:
0.648649
0.648649
linear_system
1
sinusoid
2.5
16
120
14
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
16
120
15
4.25
Solve this system for x: 4.249999999999999x + 2y = 8 1x + 3y = 9 FINAL:
0.55814
0.55814
linear_system
1
sinusoid
2.5
16
120
16
4.433013
Solve this system for x: 4.43301270189222x + 2y = 8 1x + 3y = 9 FINAL:
0.531019
0.531019
linear_system
1
sinusoid
2.5
16
120
17
3.75
Solve this system for x: 3.749999999999999x + 2y = 8 1x + 3y = 9 FINAL:
0.648649
0.648649
linear_system
1
sinusoid
2.5
16
120
18
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
16
120
19
4.25
Solve this system for x: 4.249999999999999x + 2y = 8 1x + 3y = 9 FINAL:
0.55814
0.55814
linear_system
1
sinusoid
2.5
16
120
20
4.433013
Solve this system for x: 4.4330127018922205x + 2y = 8 1x + 3y = 9 FINAL:
0.531019
0.531019
linear_system
1
sinusoid
2.5
16
120
21
3.75
Solve this system for x: 3.750000000000001x + 2y = 8 1x + 3y = 9 FINAL:
0.648649
0.648649
linear_system
1
sinusoid
2.5
16
120
22
3.566987
Solve this system for x: 3.5669872981077786x + 2y = 8 1x + 3y = 9 FINAL:
0.689579
0.689579
linear_system
1
sinusoid
2.5
16
120
23
4.25
Solve this system for x: 4.249999999999997x + 2y = 8 1x + 3y = 9 FINAL:
0.55814
0.55814
linear_system
1
sinusoid
2.5
16
120
24
4.433013
Solve this system for x: 4.4330127018922205x + 2y = 8 1x + 3y = 9 FINAL:
0.531019
0.531019
linear_system
1
sinusoid
2.5
16
120
25
3.75
Solve this system for x: 3.750000000000001x + 2y = 8 1x + 3y = 9 FINAL:
0.648649
0.648649
linear_system
1
sinusoid
2.5
16
120
26
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
16
120
27
4.25
Solve this system for x: 4.249999999999997x + 2y = 8 1x + 3y = 9 FINAL:
0.55814
0.55814
linear_system
1
sinusoid
2.5
16
120
28
4.433013
Solve this system for x: 4.4330127018922205x + 2y = 8 1x + 3y = 9 FINAL:
0.531019
0.531019
linear_system
1
sinusoid
2.5
16
120
29
3.75
Solve this system for x: 3.750000000000001x + 2y = 8 1x + 3y = 9 FINAL:
0.648649
0.648649
linear_system
1
sinusoid
2.5
16
120
30
3.566987
Solve this system for x: 3.5669872981077786x + 2y = 8 1x + 3y = 9 FINAL:
0.689579
0.689579
linear_system
1
sinusoid
2.5
16
120
31
4.25
Solve this system for x: 4.249999999999997x + 2y = 8 1x + 3y = 9 FINAL:
0.55814
0.55814
linear_system
1
sinusoid
2.5
16
120
32
4.433013
Solve this system for x: 4.4330127018922205x + 2y = 8 1x + 3y = 9 FINAL:
0.531019
0.531019
linear_system
1
sinusoid
2.5
16
120
33
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
16
120
34
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
16
120
35
4.25
Solve this system for x: 4.249999999999997x + 2y = 8 1x + 3y = 9 FINAL:
0.55814
0.55814
linear_system
1
sinusoid
2.5
16
120
36
4.433013
Solve this system for x: 4.4330127018922205x + 2y = 8 1x + 3y = 9 FINAL:
0.531019
0.531019
linear_system
1
sinusoid
2.5
16
120
37
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
16
120
38
3.566987
Solve this system for x: 3.5669872981077786x + 2y = 8 1x + 3y = 9 FINAL:
0.689579
0.689579
linear_system
1
sinusoid
2.5
16
120
39
4.25
Solve this system for x: 4.249999999999997x + 2y = 8 1x + 3y = 9 FINAL:
0.55814
0.55814
linear_system
1
sinusoid
2.5
16
120
40
4.433013
Solve this system for x: 4.4330127018922205x + 2y = 8 1x + 3y = 9 FINAL:
0.531019
0.531019
linear_system
1
sinusoid
2.5
16
120
41
3.75
Solve this system for x: 3.7500000000000044x + 2y = 8 1x + 3y = 9 FINAL:
0.648649
0.648649
linear_system
1
sinusoid
2.5
16
120
42
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
16
120
43
4.25
Solve this system for x: 4.249999999999997x + 2y = 8 1x + 3y = 9 FINAL:
0.55814
0.55814
linear_system
1
sinusoid
2.5
16
120
44
4.433013
Solve this system for x: 4.433012701892222x + 2y = 8 1x + 3y = 9 FINAL:
0.531019
0.531019
linear_system
1
sinusoid
2.5
16
120
45
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
16
120
46
3.566987
Solve this system for x: 3.5669872981077786x + 2y = 8 1x + 3y = 9 FINAL:
0.689579
0.689579
linear_system
1
sinusoid
2.5
16
120
47
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
16
120
48
4.433013
Solve this system for x: 4.4330127018922205x + 2y = 8 1x + 3y = 9 FINAL:
0.531019
0.531019
linear_system
1
sinusoid
2.5
16
120
49
3.75
Solve this system for x: 3.7500000000000044x + 2y = 8 1x + 3y = 9 FINAL:
0.648649
0.648649
linear_system
1
sinusoid
2.5
16
120
50
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
16
120
51
4.25
Solve this system for x: 4.2499999999999964x + 2y = 8 1x + 3y = 9 FINAL:
0.55814
0.55814
linear_system
1
sinusoid
2.5
16
120
52
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
16
120
53
3.75
Solve this system for x: 3.7500000000000018x + 2y = 8 1x + 3y = 9 FINAL:
0.648649
0.648649
linear_system
1
sinusoid
2.5
16
120
54
3.566987
Solve this system for x: 3.566987298107778x + 2y = 8 1x + 3y = 9 FINAL:
0.689579
0.689579
linear_system
1
sinusoid
2.5
16
120
55
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
16
120
56
4.433013
Solve this system for x: 4.4330127018922205x + 2y = 8 1x + 3y = 9 FINAL:
0.531019
0.531019
linear_system
1
sinusoid
2.5
16
120
57
3.75
Solve this system for x: 3.750000000000005x + 2y = 8 1x + 3y = 9 FINAL:
0.648649
0.648649
linear_system
1
sinusoid
2.5
16
120
58
3.566987
Solve this system for x: 3.56698729810778x + 2y = 8 1x + 3y = 9 FINAL:
0.689579
0.689579
linear_system
1
sinusoid
2.5
16
120
59
4.25
Solve this system for x: 4.2499999999999964x + 2y = 8 1x + 3y = 9 FINAL:
0.55814
0.55814
linear_system
1
sinusoid
2.5
16
120
60
4.433013
Solve this system for x: 4.433012701892222x + 2y = 8 1x + 3y = 9 FINAL:
0.531019
0.531019
linear_system
1
sinusoid
2.5
16
120
61
3.75
Solve this system for x: 3.7500000000000018x + 2y = 8 1x + 3y = 9 FINAL:
0.648649
0.648649
linear_system
1
sinusoid
2.5
16
120
62
3.566987
Solve this system for x: 3.566987298107778x + 2y = 8 1x + 3y = 9 FINAL:
0.689579
0.689579
linear_system
1
sinusoid
2.5
16
120
63
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
1
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
1
240
1
3.544568
Solve this system for x: 3.544568087539412x + 2y = 8 1x + 3y = 9 FINAL:
0.694951
0.694951
linear_system
1
sinusoid
2.5
1
240
2
3.526535
Solve this system for x: 3.5265349352524473x + 2y = 8 1x + 3y = 9 FINAL:
0.699333
0.699333
linear_system
1
sinusoid
2.5
1
240
3
3.513062
Solve this system for x: 3.513061510361333x + 2y = 8 1x + 3y = 9 FINAL:
0.702643
0.702643
linear_system
1
sinusoid
2.5
1
240
4
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
1
240
5
3.500268
Solve this system for x: 3.500267706261817x + 2y = 8 1x + 3y = 9 FINAL:
0.705816
0.705816
linear_system
1
sinusoid
2.5
1
240
6
3.501071
Solve this system for x: 3.501070538380698x + 2y = 8 1x + 3y = 9 FINAL:
0.705616
0.705616
linear_system
1
sinusoid
2.5
1
240
7
3.506678
Solve this system for x: 3.5066783339575607x + 2y = 8 1x + 3y = 9 FINAL:
0.704222
0.704222
linear_system
1
sinusoid
2.5
1
240
8
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
1
240
9
3.532047
Solve this system for x: 3.532047036621337x + 2y = 8 1x + 3y = 9 FINAL:
0.697988
0.697988
linear_system
1
sinusoid
2.5
1
240
10
3.551564
Solve this system for x: 3.5515636292336557x + 2y = 8 1x + 3y = 9 FINAL:
0.693266
0.693266
linear_system
1
sinusoid
2.5
1
240
11
3.575399
Solve this system for x: 3.57539890923671x + 2y = 8 1x + 3y = 9 FINAL:
0.687585
0.687585
linear_system
1
sinusoid
2.5
1
240
12
3.603323
Solve this system for x: 3.6033233298543825x + 2y = 8 1x + 3y = 9 FINAL:
0.681047
0.681047
linear_system
1
sinusoid
2.5
1
240
13
3.635068
Solve this system for x: 3.635067963651082x + 2y = 8 1x + 3y = 9 FINAL:
0.673763
0.673763
linear_system
1
sinusoid
2.5
1
240
14
3.670327
Solve this system for x: 3.6703270924499654x + 2y = 8 1x + 3y = 9 FINAL:
0.665854
0.665854
linear_system
1
sinusoid
2.5
1
240
15
3.708761
Solve this system for x: 3.7087611515660983x + 2y = 8 1x + 3y = 9 FINAL:
0.657442
0.657442
linear_system
1
sinusoid
2.5
1
240
16
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
1
240
17
3.793646
Solve this system for x: 3.7936464850978027x + 2y = 8 1x + 3y = 9 FINAL:
0.639595
0.639595
linear_system
1
sinusoid
2.5
1
240
18
3.83928
Solve this system for x: 3.839280267348419x + 2y = 8 1x + 3y = 9 FINAL:
0.630395
0.630395
linear_system
1
sinusoid
2.5
1
240
19
3.886462
Solve this system for x: 3.886461868482813x + 2y = 8 1x + 3y = 9 FINAL:
0.621158
0.621158
linear_system
1
sinusoid
2.5
1
240
20
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
1
240
21
3.98364
Solve this system for x: 3.983640458589112x + 2y = 8 1x + 3y = 9 FINAL:
0.602959
0.602959
linear_system
1
sinusoid
2.5
1
240
22
4.032702
Solve this system for x: 4.0327015646150715x + 2y = 8 1x + 3y = 9 FINAL:
0.594171
0.594171
linear_system
1
sinusoid
2.5
1
240
23
4.081448
Solve this system for x: 4.081447736697294x + 2y = 8 1x + 3y = 9 FINAL:
0.585689
0.585689
linear_system
1
sinusoid
2.5
1
240
24
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
1
240
25
4.176125
Solve this system for x: 4.1761250239606165x + 2y = 8 1x + 3y = 9 FINAL:
0.569889
0.569889
linear_system
1
sinusoid
2.5
1
240
26
4.221144
Solve this system for x: 4.221144345109501x + 2y = 8 1x + 3y = 9 FINAL:
0.562671
0.562671
linear_system
1
sinusoid
2.5
1
240
27
4.264034
Solve this system for x: 4.264033925325184x + 2y = 8 1x + 3y = 9 FINAL:
0.555962
0.555962
linear_system
1
sinusoid
2.5
1
240
28
4.304381
Solve this system for x: 4.304380714504361x + 2y = 8 1x + 3y = 9 FINAL:
0.549796
0.549796
linear_system
1
sinusoid
2.5
1
240
29
4.341796
Solve this system for x: 4.341796151011436x + 2y = 8 1x + 3y = 9 FINAL:
0.544199
0.544199
linear_system
1
sinusoid
2.5
1
240
30
4.37592
Solve this system for x: 4.375919903739488x + 2y = 8 1x + 3y = 9 FINAL:
0.539192
0.539192
linear_system
1
sinusoid
2.5
1
240
31
4.406423
Solve this system for x: 4.406423342295807x + 2y = 8 1x + 3y = 9 FINAL:
0.534794
0.534794
linear_system
1
sinusoid
2.5
1
240
32
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
1
240
33
4.455432
Solve this system for x: 4.455431912460588x + 2y = 8 1x + 3y = 9 FINAL:
0.527876
0.527876
linear_system
1
sinusoid
2.5
1
240
34
4.473465
Solve this system for x: 4.473465064747553x + 2y = 8 1x + 3y = 9 FINAL:
0.525376
0.525376
linear_system
1
sinusoid
2.5
1
240
35
4.486938
Solve this system for x: 4.486938489638667x + 2y = 8 1x + 3y = 9 FINAL:
0.523523
0.523523
linear_system
1
sinusoid
2.5
1
240
36
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
1
240
37
4.499732
Solve this system for x: 4.499732293738183x + 2y = 8 1x + 3y = 9 FINAL:
0.521776
0.521776
linear_system
1
sinusoid
2.5
1
240
38
4.498929
Solve this system for x: 4.498929461619301x + 2y = 8 1x + 3y = 9 FINAL:
0.521885
0.521885
linear_system
1
sinusoid
2.5
1
240
39
4.493322
Solve this system for x: 4.49332166604244x + 2y = 8 1x + 3y = 9 FINAL:
0.52265
0.52265