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
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prompt
stringlengths
59
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ground_truth
float64
0.52
2.33
symbolic_baseline_answer
float64
0.52
2.33
linear_system
0
sinusoid
2.5
8
120
28
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
29
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
30
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
31
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
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
8
120
33
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
34
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
35
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
36
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
37
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
38
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
39
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
40
4.433013
Solve this system for x: 4.4330127018922205x + 1y = 7 1x + 5y = 11 FINAL:
1.133944
1.133944
linear_system
0
sinusoid
2.5
8
120
41
4.12941
Solve this system for x: 4.1294095225512635x + 1y = 7 1x + 5y = 11 FINAL:
1.221558
1.221558
linear_system
0
sinusoid
2.5
8
120
42
3.75
Solve this system for x: 3.750000000000001x + 1y = 7 1x + 5y = 11 FINAL:
1.352113
1.352113
linear_system
0
sinusoid
2.5
8
120
43
3.517037
Solve this system for x: 3.5170370868554666x + 1y = 7 1x + 5y = 11 FINAL:
1.447075
1.447075
linear_system
0
sinusoid
2.5
8
120
44
3.566987
Solve this system for x: 3.5669872981077786x + 1y = 7 1x + 5y = 11 FINAL:
1.425607
1.425607
linear_system
0
sinusoid
2.5
8
120
45
3.87059
Solve this system for x: 3.8705904774487383x + 1y = 7 1x + 5y = 11 FINAL:
1.307692
1.307692
linear_system
0
sinusoid
2.5
8
120
46
4.25
Solve this system for x: 4.249999999999997x + 1y = 7 1x + 5y = 11 FINAL:
1.185185
1.185185
linear_system
0
sinusoid
2.5
8
120
47
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
48
4.433013
Solve this system for x: 4.4330127018922205x + 1y = 7 1x + 5y = 11 FINAL:
1.133944
1.133944
linear_system
0
sinusoid
2.5
8
120
49
4.12941
Solve this system for x: 4.1294095225512635x + 1y = 7 1x + 5y = 11 FINAL:
1.221558
1.221558
linear_system
0
sinusoid
2.5
8
120
50
3.75
Solve this system for x: 3.750000000000001x + 1y = 7 1x + 5y = 11 FINAL:
1.352113
1.352113
linear_system
0
sinusoid
2.5
8
120
51
3.517037
Solve this system for x: 3.5170370868554666x + 1y = 7 1x + 5y = 11 FINAL:
1.447075
1.447075
linear_system
0
sinusoid
2.5
8
120
52
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
53
3.87059
Solve this system for x: 3.8705904774487383x + 1y = 7 1x + 5y = 11 FINAL:
1.307692
1.307692
linear_system
0
sinusoid
2.5
8
120
54
4.25
Solve this system for x: 4.249999999999997x + 1y = 7 1x + 5y = 11 FINAL:
1.185185
1.185185
linear_system
0
sinusoid
2.5
8
120
55
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
56
4.433013
Solve this system for x: 4.4330127018922205x + 1y = 7 1x + 5y = 11 FINAL:
1.133944
1.133944
linear_system
0
sinusoid
2.5
8
120
57
4.12941
Solve this system for x: 4.1294095225512635x + 1y = 7 1x + 5y = 11 FINAL:
1.221558
1.221558
linear_system
0
sinusoid
2.5
8
120
58
3.75
Solve this system for x: 3.750000000000001x + 1y = 7 1x + 5y = 11 FINAL:
1.352113
1.352113
linear_system
0
sinusoid
2.5
8
120
59
3.517037
Solve this system for x: 3.5170370868554666x + 1y = 7 1x + 5y = 11 FINAL:
1.447075
1.447075
linear_system
0
sinusoid
2.5
8
120
60
3.566987
Solve this system for x: 3.5669872981077786x + 1y = 7 1x + 5y = 11 FINAL:
1.425607
1.425607
linear_system
0
sinusoid
2.5
8
120
61
3.87059
Solve this system for x: 3.870590477448738x + 1y = 7 1x + 5y = 11 FINAL:
1.307692
1.307692
linear_system
0
sinusoid
2.5
8
120
62
4.25
Solve this system for x: 4.249999999999997x + 1y = 7 1x + 5y = 11 FINAL:
1.185185
1.185185
linear_system
0
sinusoid
2.5
8
120
63
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
16
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
16
120
1
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
16
120
2
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
16
120
3
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
16
120
4
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
16
120
5
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
16
120
6
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
16
120
7
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
16
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
16
120
9
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
16
120
10
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
16
120
11
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
16
120
12
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
16
120
13
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
16
120
14
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
16
120
15
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
16
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
16
120
17
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
16
120
18
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
16
120
19
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
16
120
20
4.433013
Solve this system for x: 4.4330127018922205x + 1y = 7 1x + 5y = 11 FINAL:
1.133944
1.133944
linear_system
0
sinusoid
2.5
16
120
21
3.75
Solve this system for x: 3.750000000000001x + 1y = 7 1x + 5y = 11 FINAL:
1.352113
1.352113
linear_system
0
sinusoid
2.5
16
120
22
3.566987
Solve this system for x: 3.5669872981077786x + 1y = 7 1x + 5y = 11 FINAL:
1.425607
1.425607
linear_system
0
sinusoid
2.5
16
120
23
4.25
Solve this system for x: 4.249999999999997x + 1y = 7 1x + 5y = 11 FINAL:
1.185185
1.185185
linear_system
0
sinusoid
2.5
16
120
24
4.433013
Solve this system for x: 4.4330127018922205x + 1y = 7 1x + 5y = 11 FINAL:
1.133944
1.133944
linear_system
0
sinusoid
2.5
16
120
25
3.75
Solve this system for x: 3.750000000000001x + 1y = 7 1x + 5y = 11 FINAL:
1.352113
1.352113
linear_system
0
sinusoid
2.5
16
120
26
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
16
120
27
4.25
Solve this system for x: 4.249999999999997x + 1y = 7 1x + 5y = 11 FINAL:
1.185185
1.185185
linear_system
0
sinusoid
2.5
16
120
28
4.433013
Solve this system for x: 4.4330127018922205x + 1y = 7 1x + 5y = 11 FINAL:
1.133944
1.133944
linear_system
0
sinusoid
2.5
16
120
29
3.75
Solve this system for x: 3.750000000000001x + 1y = 7 1x + 5y = 11 FINAL:
1.352113
1.352113
linear_system
0
sinusoid
2.5
16
120
30
3.566987
Solve this system for x: 3.5669872981077786x + 1y = 7 1x + 5y = 11 FINAL:
1.425607
1.425607
linear_system
0
sinusoid
2.5
16
120
31
4.25
Solve this system for x: 4.249999999999997x + 1y = 7 1x + 5y = 11 FINAL:
1.185185
1.185185
linear_system
0
sinusoid
2.5
16
120
32
4.433013
Solve this system for x: 4.4330127018922205x + 1y = 7 1x + 5y = 11 FINAL:
1.133944
1.133944
linear_system
0
sinusoid
2.5
16
120
33
3.75
Solve this system for x: 3.7500000000000013x + 1y = 7 1x + 5y = 11 FINAL:
1.352113
1.352113
linear_system
0
sinusoid
2.5
16
120
34
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
16
120
35
4.25
Solve this system for x: 4.249999999999997x + 1y = 7 1x + 5y = 11 FINAL:
1.185185
1.185185
linear_system
0
sinusoid
2.5
16
120
36
4.433013
Solve this system for x: 4.4330127018922205x + 1y = 7 1x + 5y = 11 FINAL:
1.133944
1.133944
linear_system
0
sinusoid
2.5
16
120
37
3.75
Solve this system for x: 3.7500000000000013x + 1y = 7 1x + 5y = 11 FINAL:
1.352113
1.352113
linear_system
0
sinusoid
2.5
16
120
38
3.566987
Solve this system for x: 3.5669872981077786x + 1y = 7 1x + 5y = 11 FINAL:
1.425607
1.425607
linear_system
0
sinusoid
2.5
16
120
39
4.25
Solve this system for x: 4.249999999999997x + 1y = 7 1x + 5y = 11 FINAL:
1.185185
1.185185
linear_system
0
sinusoid
2.5
16
120
40
4.433013
Solve this system for x: 4.4330127018922205x + 1y = 7 1x + 5y = 11 FINAL:
1.133944
1.133944
linear_system
0
sinusoid
2.5
16
120
41
3.75
Solve this system for x: 3.7500000000000044x + 1y = 7 1x + 5y = 11 FINAL:
1.352113
1.352113
linear_system
0
sinusoid
2.5
16
120
42
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
16
120
43
4.25
Solve this system for x: 4.249999999999997x + 1y = 7 1x + 5y = 11 FINAL:
1.185185
1.185185
linear_system
0
sinusoid
2.5
16
120
44
4.433013
Solve this system for x: 4.433012701892222x + 1y = 7 1x + 5y = 11 FINAL:
1.133944
1.133944
linear_system
0
sinusoid
2.5
16
120
45
3.75
Solve this system for x: 3.7500000000000013x + 1y = 7 1x + 5y = 11 FINAL:
1.352113
1.352113
linear_system
0
sinusoid
2.5
16
120
46
3.566987
Solve this system for x: 3.5669872981077786x + 1y = 7 1x + 5y = 11 FINAL:
1.425607
1.425607
linear_system
0
sinusoid
2.5
16
120
47
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
16
120
48
4.433013
Solve this system for x: 4.4330127018922205x + 1y = 7 1x + 5y = 11 FINAL:
1.133944
1.133944
linear_system
0
sinusoid
2.5
16
120
49
3.75
Solve this system for x: 3.7500000000000044x + 1y = 7 1x + 5y = 11 FINAL:
1.352113
1.352113
linear_system
0
sinusoid
2.5
16
120
50
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
16
120
51
4.25
Solve this system for x: 4.2499999999999964x + 1y = 7 1x + 5y = 11 FINAL:
1.185185
1.185185
linear_system
0
sinusoid
2.5
16
120
52
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
16
120
53
3.75
Solve this system for x: 3.7500000000000018x + 1y = 7 1x + 5y = 11 FINAL:
1.352113
1.352113
linear_system
0
sinusoid
2.5
16
120
54
3.566987
Solve this system for x: 3.566987298107778x + 1y = 7 1x + 5y = 11 FINAL:
1.425607
1.425607
linear_system
0
sinusoid
2.5
16
120
55
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
16
120
56
4.433013
Solve this system for x: 4.4330127018922205x + 1y = 7 1x + 5y = 11 FINAL:
1.133944
1.133944
linear_system
0
sinusoid
2.5
16
120
57
3.75
Solve this system for x: 3.750000000000005x + 1y = 7 1x + 5y = 11 FINAL:
1.352113
1.352113
linear_system
0
sinusoid
2.5
16
120
58
3.566987
Solve this system for x: 3.56698729810778x + 1y = 7 1x + 5y = 11 FINAL:
1.425607
1.425607
linear_system
0
sinusoid
2.5
16
120
59
4.25
Solve this system for x: 4.2499999999999964x + 1y = 7 1x + 5y = 11 FINAL:
1.185185
1.185185
linear_system
0
sinusoid
2.5
16
120
60
4.433013
Solve this system for x: 4.433012701892222x + 1y = 7 1x + 5y = 11 FINAL:
1.133944
1.133944
linear_system
0
sinusoid
2.5
16
120
61
3.75
Solve this system for x: 3.7500000000000018x + 1y = 7 1x + 5y = 11 FINAL:
1.352113
1.352113
linear_system
0
sinusoid
2.5
16
120
62
3.566987
Solve this system for x: 3.566987298107778x + 1y = 7 1x + 5y = 11 FINAL:
1.425607
1.425607
linear_system
0
sinusoid
2.5
16
120
63
4.25
Solve this system for x: 4.25x + 1y = 7 1x + 5y = 11 FINAL:
1.185185
1.185185