Datasets:
ai-metrology-lab
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MathBode-LinearSolve

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xet
Community
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
35
50
ground_truth
float64
3.56
10.3
symbolic_baseline_answer
float64
3.56
10.3
linear_solve
0
sinusoid
1
1
0
20
4.184776
Solve for x: 4.184775906502257x + 3 = 27 FINAL:
5.735074
5.735074
linear_solve
0
sinusoid
1
1
0
21
4.176384
Solve for x: 4.176384252869671x + 3 = 27 FINAL:
5.746598
5.746598
linear_solve
0
sinusoid
1
1
0
22
4.166294
Solve for x: 4.166293922460509x + 3 = 27 FINAL:
5.760515
5.760515
linear_solve
0
sinusoid
1
1
0
23
4.154602
Solve for x: 4.154602090672547x + 3 = 27 FINAL:
5.776727
5.776727
linear_solve
0
sinusoid
1
1
0
24
4.141421
Solve for x: 4.141421356237309x + 3 = 27 FINAL:
5.795112
5.795112
linear_solve
0
sinusoid
1
1
0
25
4.126879
Solve for x: 4.126878656832729x + 3 = 27 FINAL:
5.815533
5.815533
linear_solve
0
sinusoid
1
1
0
26
4.111114
Solve for x: 4.11111404660392x + 3 = 27 FINAL:
5.837834
5.837834
linear_solve
0
sinusoid
1
1
0
27
4.094279
Solve for x: 4.0942793473652x + 3 = 27 FINAL:
5.861837
5.861837
linear_solve
0
sinusoid
1
1
0
28
4.076537
Solve for x: 4.076536686473018x + 3 = 27 FINAL:
5.88735
5.88735
linear_solve
0
sinusoid
1
1
0
29
4.058057
Solve for x: 4.058056935450892x + 3 = 27 FINAL:
5.91416
5.91416
linear_solve
0
sinusoid
1
1
0
30
4.039018
Solve for x: 4.039018064403225x + 3 = 27 FINAL:
5.942038
5.942038
linear_solve
0
sinusoid
1
1
0
31
4.019603
Solve for x: 4.0196034280659125x + 3 = 27 FINAL:
5.970738
5.970738
linear_solve
0
sinusoid
1
1
0
32
4
Solve for x: 4.0x + 3 = 27 FINAL:
6
6
linear_solve
0
sinusoid
1
1
0
33
3.980397
Solve for x: 3.980396571934088x + 3 = 27 FINAL:
6.02955
6.02955
linear_solve
0
sinusoid
1
1
0
34
3.960982
Solve for x: 3.960981935596774x + 3 = 27 FINAL:
6.059104
6.059104
linear_solve
0
sinusoid
1
1
0
35
3.941943
Solve for x: 3.9419430645491076x + 3 = 27 FINAL:
6.088368
6.088368
linear_solve
0
sinusoid
1
1
0
36
3.923463
Solve for x: 3.923463313526982x + 3 = 27 FINAL:
6.117045
6.117045
linear_solve
0
sinusoid
1
1
0
37
3.905721
Solve for x: 3.9057206526348005x + 3 = 27 FINAL:
6.144833
6.144833
linear_solve
0
sinusoid
1
1
0
38
3.888886
Solve for x: 3.8888859533960796x + 3 = 27 FINAL:
6.171433
6.171433
linear_solve
0
sinusoid
1
1
0
39
3.873121
Solve for x: 3.873121343167271x + 3 = 27 FINAL:
6.196553
6.196553
linear_solve
0
sinusoid
1
1
0
40
3.858579
Solve for x: 3.8585786437626903x + 3 = 27 FINAL:
6.219907
6.219907
linear_solve
0
sinusoid
1
1
0
41
3.845398
Solve for x: 3.8453979093274526x + 3 = 27 FINAL:
6.241227
6.241227
linear_solve
0
sinusoid
1
1
0
42
3.833706
Solve for x: 3.833706077539491x + 3 = 27 FINAL:
6.260261
6.260261
linear_solve
0
sinusoid
1
1
0
43
3.823616
Solve for x: 3.823615747130329x + 3 = 27 FINAL:
6.276781
6.276781
linear_solve
0
sinusoid
1
1
0
44
3.815224
Solve for x: 3.8152240934977426x + 3 = 27 FINAL:
6.290587
6.290587
linear_solve
0
sinusoid
1
1
0
45
3.808612
Solve for x: 3.8086119328535584x + 3 = 27 FINAL:
6.301508
6.301508
linear_solve
0
sinusoid
1
1
0
46
3.803843
Solve for x: 3.8038429439193537x + 3 = 27 FINAL:
6.309409
6.309409
linear_solve
0
sinusoid
1
1
0
47
3.800963
Solve for x: 3.8009630546655604x + 3 = 27 FINAL:
6.314189
6.314189
linear_solve
0
sinusoid
1
1
0
48
3.8
Solve for x: 3.8x + 3 = 27 FINAL:
6.315789
6.315789
linear_solve
0
sinusoid
1
1
0
49
3.800963
Solve for x: 3.8009630546655604x + 3 = 27 FINAL:
6.314189
6.314189
linear_solve
0
sinusoid
1
1
0
50
3.803843
Solve for x: 3.8038429439193537x + 3 = 27 FINAL:
6.309409
6.309409
linear_solve
0
sinusoid
1
1
0
51
3.808612
Solve for x: 3.8086119328535584x + 3 = 27 FINAL:
6.301508
6.301508
linear_solve
0
sinusoid
1
1
0
52
3.815224
Solve for x: 3.8152240934977426x + 3 = 27 FINAL:
6.290587
6.290587
linear_solve
0
sinusoid
1
1
0
53
3.823616
Solve for x: 3.823615747130329x + 3 = 27 FINAL:
6.276781
6.276781
linear_solve
0
sinusoid
1
1
0
54
3.833706
Solve for x: 3.8337060775394907x + 3 = 27 FINAL:
6.260261
6.260261
linear_solve
0
sinusoid
1
1
0
55
3.845398
Solve for x: 3.8453979093274526x + 3 = 27 FINAL:
6.241227
6.241227
linear_solve
0
sinusoid
1
1
0
56
3.858579
Solve for x: 3.8585786437626903x + 3 = 27 FINAL:
6.219907
6.219907
linear_solve
0
sinusoid
1
1
0
57
3.873121
Solve for x: 3.873121343167271x + 3 = 27 FINAL:
6.196553
6.196553
linear_solve
0
sinusoid
1
1
0
58
3.888886
Solve for x: 3.8888859533960796x + 3 = 27 FINAL:
6.171433
6.171433
linear_solve
0
sinusoid
1
1
0
59
3.905721
Solve for x: 3.9057206526348005x + 3 = 27 FINAL:
6.144833
6.144833
linear_solve
0
sinusoid
1
1
0
60
3.923463
Solve for x: 3.923463313526982x + 3 = 27 FINAL:
6.117045
6.117045
linear_solve
0
sinusoid
1
1
0
61
3.941943
Solve for x: 3.9419430645491076x + 3 = 27 FINAL:
6.088368
6.088368
linear_solve
0
sinusoid
1
1
0
62
3.960982
Solve for x: 3.960981935596774x + 3 = 27 FINAL:
6.059104
6.059104
linear_solve
0
sinusoid
1
1
0
63
3.980397
Solve for x: 3.980396571934088x + 3 = 27 FINAL:
6.02955
6.02955
linear_solve
0
sinusoid
1
2
0
0
4
Solve for x: 4.0x + 3 = 27 FINAL:
6
6
linear_solve
0
sinusoid
1
2
0
1
4.039018
Solve for x: 4.039018064403225x + 3 = 27 FINAL:
5.942038
5.942038
linear_solve
0
sinusoid
1
2
0
2
4.076537
Solve for x: 4.076536686473018x + 3 = 27 FINAL:
5.88735
5.88735
linear_solve
0
sinusoid
1
2
0
3
4.111114
Solve for x: 4.11111404660392x + 3 = 27 FINAL:
5.837834
5.837834
linear_solve
0
sinusoid
1
2
0
4
4.141421
Solve for x: 4.141421356237309x + 3 = 27 FINAL:
5.795112
5.795112
linear_solve
0
sinusoid
1
2
0
5
4.166294
Solve for x: 4.166293922460509x + 3 = 27 FINAL:
5.760515
5.760515
linear_solve
0
sinusoid
1
2
0
6
4.184776
Solve for x: 4.184775906502257x + 3 = 27 FINAL:
5.735074
5.735074
linear_solve
0
sinusoid
1
2
0
7
4.196157
Solve for x: 4.196157056080646x + 3 = 27 FINAL:
5.719519
5.719519
linear_solve
0
sinusoid
1
2
0
8
4.2
Solve for x: 4.2x + 3 = 27 FINAL:
5.714286
5.714286
linear_solve
0
sinusoid
1
2
0
9
4.196157
Solve for x: 4.196157056080646x + 3 = 27 FINAL:
5.719519
5.719519
linear_solve
0
sinusoid
1
2
0
10
4.184776
Solve for x: 4.184775906502257x + 3 = 27 FINAL:
5.735074
5.735074
linear_solve
0
sinusoid
1
2
0
11
4.166294
Solve for x: 4.166293922460509x + 3 = 27 FINAL:
5.760515
5.760515
linear_solve
0
sinusoid
1
2
0
12
4.141421
Solve for x: 4.141421356237309x + 3 = 27 FINAL:
5.795112
5.795112
linear_solve
0
sinusoid
1
2
0
13
4.111114
Solve for x: 4.11111404660392x + 3 = 27 FINAL:
5.837834
5.837834
linear_solve
0
sinusoid
1
2
0
14
4.076537
Solve for x: 4.076536686473018x + 3 = 27 FINAL:
5.88735
5.88735
linear_solve
0
sinusoid
1
2
0
15
4.039018
Solve for x: 4.039018064403225x + 3 = 27 FINAL:
5.942038
5.942038
linear_solve
0
sinusoid
1
2
0
16
4
Solve for x: 4.0x + 3 = 27 FINAL:
6
6
linear_solve
0
sinusoid
1
2
0
17
3.960982
Solve for x: 3.960981935596774x + 3 = 27 FINAL:
6.059104
6.059104
linear_solve
0
sinusoid
1
2
0
18
3.923463
Solve for x: 3.923463313526982x + 3 = 27 FINAL:
6.117045
6.117045
linear_solve
0
sinusoid
1
2
0
19
3.888886
Solve for x: 3.8888859533960796x + 3 = 27 FINAL:
6.171433
6.171433
linear_solve
0
sinusoid
1
2
0
20
3.858579
Solve for x: 3.8585786437626903x + 3 = 27 FINAL:
6.219907
6.219907
linear_solve
0
sinusoid
1
2
0
21
3.833706
Solve for x: 3.833706077539491x + 3 = 27 FINAL:
6.260261
6.260261
linear_solve
0
sinusoid
1
2
0
22
3.815224
Solve for x: 3.8152240934977426x + 3 = 27 FINAL:
6.290587
6.290587
linear_solve
0
sinusoid
1
2
0
23
3.803843
Solve for x: 3.8038429439193537x + 3 = 27 FINAL:
6.309409
6.309409
linear_solve
0
sinusoid
1
2
0
24
3.8
Solve for x: 3.8x + 3 = 27 FINAL:
6.315789
6.315789
linear_solve
0
sinusoid
1
2
0
25
3.803843
Solve for x: 3.8038429439193537x + 3 = 27 FINAL:
6.309409
6.309409
linear_solve
0
sinusoid
1
2
0
26
3.815224
Solve for x: 3.8152240934977426x + 3 = 27 FINAL:
6.290587
6.290587
linear_solve
0
sinusoid
1
2
0
27
3.833706
Solve for x: 3.8337060775394907x + 3 = 27 FINAL:
6.260261
6.260261
linear_solve
0
sinusoid
1
2
0
28
3.858579
Solve for x: 3.8585786437626903x + 3 = 27 FINAL:
6.219907
6.219907
linear_solve
0
sinusoid
1
2
0
29
3.888886
Solve for x: 3.8888859533960796x + 3 = 27 FINAL:
6.171433
6.171433
linear_solve
0
sinusoid
1
2
0
30
3.923463
Solve for x: 3.923463313526982x + 3 = 27 FINAL:
6.117045
6.117045
linear_solve
0
sinusoid
1
2
0
31
3.960982
Solve for x: 3.960981935596774x + 3 = 27 FINAL:
6.059104
6.059104
linear_solve
0
sinusoid
1
2
0
32
4
Solve for x: 4.0x + 3 = 27 FINAL:
6
6
linear_solve
0
sinusoid
1
2
0
33
4.039018
Solve for x: 4.039018064403225x + 3 = 27 FINAL:
5.942038
5.942038
linear_solve
0
sinusoid
1
2
0
34
4.076537
Solve for x: 4.076536686473018x + 3 = 27 FINAL:
5.88735
5.88735
linear_solve
0
sinusoid
1
2
0
35
4.111114
Solve for x: 4.11111404660392x + 3 = 27 FINAL:
5.837834
5.837834
linear_solve
0
sinusoid
1
2
0
36
4.141421
Solve for x: 4.141421356237309x + 3 = 27 FINAL:
5.795112
5.795112
linear_solve
0
sinusoid
1
2
0
37
4.166294
Solve for x: 4.166293922460509x + 3 = 27 FINAL:
5.760515
5.760515
linear_solve
0
sinusoid
1
2
0
38
4.184776
Solve for x: 4.184775906502257x + 3 = 27 FINAL:
5.735074
5.735074
linear_solve
0
sinusoid
1
2
0
39
4.196157
Solve for x: 4.196157056080646x + 3 = 27 FINAL:
5.719519
5.719519
linear_solve
0
sinusoid
1
2
0
40
4.2
Solve for x: 4.2x + 3 = 27 FINAL:
5.714286
5.714286
linear_solve
0
sinusoid
1
2
0
41
4.196157
Solve for x: 4.196157056080646x + 3 = 27 FINAL:
5.719519
5.719519
linear_solve
0
sinusoid
1
2
0
42
4.184776
Solve for x: 4.184775906502257x + 3 = 27 FINAL:
5.735074
5.735074
linear_solve
0
sinusoid
1
2
0
43
4.166294
Solve for x: 4.166293922460509x + 3 = 27 FINAL:
5.760515
5.760515
linear_solve
0
sinusoid
1
2
0
44
4.141421
Solve for x: 4.14142135623731x + 3 = 27 FINAL:
5.795112
5.795112
linear_solve
0
sinusoid
1
2
0
45
4.111114
Solve for x: 4.11111404660392x + 3 = 27 FINAL:
5.837834
5.837834
linear_solve
0
sinusoid
1
2
0
46
4.076537
Solve for x: 4.076536686473018x + 3 = 27 FINAL:
5.88735
5.88735
linear_solve
0
sinusoid
1
2
0
47
4.039018
Solve for x: 4.039018064403225x + 3 = 27 FINAL:
5.942038
5.942038
linear_solve
0
sinusoid
1
2
0
48
4
Solve for x: 4.0x + 3 = 27 FINAL:
6
6
linear_solve
0
sinusoid
1
2
0
49
3.960982
Solve for x: 3.9609819355967746x + 3 = 27 FINAL:
6.059104
6.059104
linear_solve
0
sinusoid
1
2
0
50
3.923463
Solve for x: 3.923463313526982x + 3 = 27 FINAL:
6.117045
6.117045
linear_solve
0
sinusoid
1
2
0
51
3.888886
Solve for x: 3.8888859533960796x + 3 = 27 FINAL:
6.171433
6.171433
linear_solve
0
sinusoid
1
2
0
52
3.858579
Solve for x: 3.8585786437626903x + 3 = 27 FINAL:
6.219907
6.219907
linear_solve
0
sinusoid
1
2
0
53
3.833706
Solve for x: 3.833706077539491x + 3 = 27 FINAL:
6.260261
6.260261
linear_solve
0
sinusoid
1
2
0
54
3.815224
Solve for x: 3.8152240934977426x + 3 = 27 FINAL:
6.290587
6.290587
linear_solve
0
sinusoid
1
2
0
55
3.803843
Solve for x: 3.8038429439193537x + 3 = 27 FINAL:
6.309409
6.309409