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
0
sinusoid
2.5
1
0
40
3.646447
Solve this system for x: 3.646446609406726x + 1y = 7 1x + 5y = 11 FINAL:
1.392739
1.392739
linear_system
0
sinusoid
2.5
1
0
41
3.613495
Solve this system for x: 3.6134947733186316x + 1y = 7 1x + 5y = 11 FINAL:
1.406183
1.406183
linear_system
0
sinusoid
2.5
1
0
42
3.584265
Solve this system for x: 3.5842651938487275x + 1y = 7 1x + 5y = 11 FINAL:
1.418329
1.418329
linear_system
0
sinusoid
2.5
1
0
43
3.559039
Solve this system for x: 3.5590393678258225x + 1y = 7 1x + 5y = 11 FINAL:
1.42898
1.42898
linear_system
0
sinusoid
2.5
1
0
44
3.53806
Solve this system for x: 3.538060233744357x + 1y = 7 1x + 5y = 11 FINAL:
1.437961
1.437961
linear_system
0
sinusoid
2.5
1
0
45
3.52153
Solve this system for x: 3.5215298321338957x + 1y = 7 1x + 5y = 11 FINAL:
1.445117
1.445117
linear_system
0
sinusoid
2.5
1
0
46
3.509607
Solve this system for x: 3.509607359798385x + 1y = 7 1x + 5y = 11 FINAL:
1.450323
1.450323
linear_system
0
sinusoid
2.5
1
0
47
3.502408
Solve this system for x: 3.5024076366639014x + 1y = 7 1x + 5y = 11 FINAL:
1.453485
1.453485
linear_system
0
sinusoid
2.5
1
0
48
3.5
Solve this system for x: 3.5x + 1y = 7 1x + 5y = 11 FINAL:
1.454545
1.454545
linear_system
0
sinusoid
2.5
1
0
49
3.502408
Solve this system for x: 3.5024076366639014x + 1y = 7 1x + 5y = 11 FINAL:
1.453485
1.453485
linear_system
0
sinusoid
2.5
1
0
50
3.509607
Solve this system for x: 3.509607359798385x + 1y = 7 1x + 5y = 11 FINAL:
1.450323
1.450323
linear_system
0
sinusoid
2.5
1
0
51
3.52153
Solve this system for x: 3.5215298321338957x + 1y = 7 1x + 5y = 11 FINAL:
1.445117
1.445117
linear_system
0
sinusoid
2.5
1
0
52
3.53806
Solve this system for x: 3.5380602337443565x + 1y = 7 1x + 5y = 11 FINAL:
1.437961
1.437961
linear_system
0
sinusoid
2.5
1
0
53
3.559039
Solve this system for x: 3.5590393678258225x + 1y = 7 1x + 5y = 11 FINAL:
1.42898
1.42898
linear_system
0
sinusoid
2.5
1
0
54
3.584265
Solve this system for x: 3.584265193848727x + 1y = 7 1x + 5y = 11 FINAL:
1.418329
1.418329
linear_system
0
sinusoid
2.5
1
0
55
3.613495
Solve this system for x: 3.6134947733186316x + 1y = 7 1x + 5y = 11 FINAL:
1.406183
1.406183
linear_system
0
sinusoid
2.5
1
0
56
3.646447
Solve this system for x: 3.646446609406726x + 1y = 7 1x + 5y = 11 FINAL:
1.392739
1.392739
linear_system
0
sinusoid
2.5
1
0
57
3.682803
Solve this system for x: 3.682803357918177x + 1y = 7 1x + 5y = 11 FINAL:
1.3782
1.3782
linear_system
0
sinusoid
2.5
1
0
58
3.722215
Solve this system for x: 3.722214883490199x + 1y = 7 1x + 5y = 11 FINAL:
1.362779
1.362779
linear_system
0
sinusoid
2.5
1
0
59
3.764302
Solve this system for x: 3.764301631587001x + 1y = 7 1x + 5y = 11 FINAL:
1.346687
1.346687
linear_system
0
sinusoid
2.5
1
0
60
3.808658
Solve this system for x: 3.8086582838174547x + 1y = 7 1x + 5y = 11 FINAL:
1.330134
1.330134
linear_system
0
sinusoid
2.5
1
0
61
3.854858
Solve this system for x: 3.854857661372769x + 1y = 7 1x + 5y = 11 FINAL:
1.313321
1.313321
linear_system
0
sinusoid
2.5
1
0
62
3.902455
Solve this system for x: 3.9024548389919356x + 1y = 7 1x + 5y = 11 FINAL:
1.296437
1.296437
linear_system
0
sinusoid
2.5
1
0
63
3.950991
Solve this system for x: 3.9509914298352196x + 1y = 7 1x + 5y = 11 FINAL:
1.279662
1.279662
linear_system
0
sinusoid
2.5
2
0
0
4
Solve this system for x: 4.0x + 1y = 7 1x + 5y = 11 FINAL:
1.263158
1.263158
linear_system
0
sinusoid
2.5
2
0
1
4.097545
Solve this system for x: 4.097545161008064x + 1y = 7 1x + 5y = 11 FINAL:
1.231544
1.231544
linear_system
0
sinusoid
2.5
2
0
2
4.191342
Solve this system for x: 4.191341716182545x + 1y = 7 1x + 5y = 11 FINAL:
1.202603
1.202603
linear_system
0
sinusoid
2.5
2
0
3
4.277785
Solve this system for x: 4.277785116509801x + 1y = 7 1x + 5y = 11 FINAL:
1.17711
1.17711
linear_system
0
sinusoid
2.5
2
0
4
4.353553
Solve this system for x: 4.353553390593274x + 1y = 7 1x + 5y = 11 FINAL:
1.155637
1.155637
linear_system
0
sinusoid
2.5
2
0
5
4.415735
Solve this system for x: 4.4157348061512725x + 1y = 7 1x + 5y = 11 FINAL:
1.138592
1.138592
linear_system
0
sinusoid
2.5
2
0
6
4.46194
Solve this system for x: 4.461939766255643x + 1y = 7 1x + 5y = 11 FINAL:
1.126248
1.126248
linear_system
0
sinusoid
2.5
2
0
7
4.490393
Solve this system for x: 4.490392640201615x + 1y = 7 1x + 5y = 11 FINAL:
1.118779
1.118779
linear_system
0
sinusoid
2.5
2
0
8
4.5
Solve this system for x: 4.5x + 1y = 7 1x + 5y = 11 FINAL:
1.116279
1.116279
linear_system
0
sinusoid
2.5
2
0
9
4.490393
Solve this system for x: 4.490392640201615x + 1y = 7 1x + 5y = 11 FINAL:
1.118779
1.118779
linear_system
0
sinusoid
2.5
2
0
10
4.46194
Solve this system for x: 4.461939766255643x + 1y = 7 1x + 5y = 11 FINAL:
1.126248
1.126248
linear_system
0
sinusoid
2.5
2
0
11
4.415735
Solve this system for x: 4.4157348061512725x + 1y = 7 1x + 5y = 11 FINAL:
1.138592
1.138592
linear_system
0
sinusoid
2.5
2
0
12
4.353553
Solve this system for x: 4.353553390593274x + 1y = 7 1x + 5y = 11 FINAL:
1.155637
1.155637
linear_system
0
sinusoid
2.5
2
0
13
4.277785
Solve this system for x: 4.277785116509801x + 1y = 7 1x + 5y = 11 FINAL:
1.17711
1.17711
linear_system
0
sinusoid
2.5
2
0
14
4.191342
Solve this system for x: 4.191341716182545x + 1y = 7 1x + 5y = 11 FINAL:
1.202603
1.202603
linear_system
0
sinusoid
2.5
2
0
15
4.097545
Solve this system for x: 4.097545161008064x + 1y = 7 1x + 5y = 11 FINAL:
1.231544
1.231544
linear_system
0
sinusoid
2.5
2
0
16
4
Solve this system for x: 4.0x + 1y = 7 1x + 5y = 11 FINAL:
1.263158
1.263158
linear_system
0
sinusoid
2.5
2
0
17
3.902455
Solve this system for x: 3.902454838991936x + 1y = 7 1x + 5y = 11 FINAL:
1.296437
1.296437
linear_system
0
sinusoid
2.5
2
0
18
3.808658
Solve this system for x: 3.808658283817455x + 1y = 7 1x + 5y = 11 FINAL:
1.330134
1.330134
linear_system
0
sinusoid
2.5
2
0
19
3.722215
Solve this system for x: 3.722214883490199x + 1y = 7 1x + 5y = 11 FINAL:
1.362779
1.362779
linear_system
0
sinusoid
2.5
2
0
20
3.646447
Solve this system for x: 3.646446609406726x + 1y = 7 1x + 5y = 11 FINAL:
1.392739
1.392739
linear_system
0
sinusoid
2.5
2
0
21
3.584265
Solve this system for x: 3.5842651938487275x + 1y = 7 1x + 5y = 11 FINAL:
1.418329
1.418329
linear_system
0
sinusoid
2.5
2
0
22
3.53806
Solve this system for x: 3.538060233744357x + 1y = 7 1x + 5y = 11 FINAL:
1.437961
1.437961
linear_system
0
sinusoid
2.5
2
0
23
3.509607
Solve this system for x: 3.509607359798385x + 1y = 7 1x + 5y = 11 FINAL:
1.450323
1.450323
linear_system
0
sinusoid
2.5
2
0
24
3.5
Solve this system for x: 3.5x + 1y = 7 1x + 5y = 11 FINAL:
1.454545
1.454545
linear_system
0
sinusoid
2.5
2
0
25
3.509607
Solve this system for x: 3.509607359798385x + 1y = 7 1x + 5y = 11 FINAL:
1.450323
1.450323
linear_system
0
sinusoid
2.5
2
0
26
3.53806
Solve this system for x: 3.5380602337443565x + 1y = 7 1x + 5y = 11 FINAL:
1.437961
1.437961
linear_system
0
sinusoid
2.5
2
0
27
3.584265
Solve this system for x: 3.584265193848727x + 1y = 7 1x + 5y = 11 FINAL:
1.418329
1.418329
linear_system
0
sinusoid
2.5
2
0
28
3.646447
Solve this system for x: 3.646446609406726x + 1y = 7 1x + 5y = 11 FINAL:
1.392739
1.392739
linear_system
0
sinusoid
2.5
2
0
29
3.722215
Solve this system for x: 3.722214883490199x + 1y = 7 1x + 5y = 11 FINAL:
1.362779
1.362779
linear_system
0
sinusoid
2.5
2
0
30
3.808658
Solve this system for x: 3.8086582838174547x + 1y = 7 1x + 5y = 11 FINAL:
1.330134
1.330134
linear_system
0
sinusoid
2.5
2
0
31
3.902455
Solve this system for x: 3.9024548389919356x + 1y = 7 1x + 5y = 11 FINAL:
1.296437
1.296437
linear_system
0
sinusoid
2.5
2
0
32
4
Solve this system for x: 4.0x + 1y = 7 1x + 5y = 11 FINAL:
1.263158
1.263158
linear_system
0
sinusoid
2.5
2
0
33
4.097545
Solve this system for x: 4.097545161008064x + 1y = 7 1x + 5y = 11 FINAL:
1.231544
1.231544
linear_system
0
sinusoid
2.5
2
0
34
4.191342
Solve this system for x: 4.191341716182545x + 1y = 7 1x + 5y = 11 FINAL:
1.202603
1.202603
linear_system
0
sinusoid
2.5
2
0
35
4.277785
Solve this system for x: 4.277785116509801x + 1y = 7 1x + 5y = 11 FINAL:
1.17711
1.17711
linear_system
0
sinusoid
2.5
2
0
36
4.353553
Solve this system for x: 4.353553390593274x + 1y = 7 1x + 5y = 11 FINAL:
1.155637
1.155637
linear_system
0
sinusoid
2.5
2
0
37
4.415735
Solve this system for x: 4.4157348061512725x + 1y = 7 1x + 5y = 11 FINAL:
1.138592
1.138592
linear_system
0
sinusoid
2.5
2
0
38
4.46194
Solve this system for x: 4.461939766255643x + 1y = 7 1x + 5y = 11 FINAL:
1.126248
1.126248
linear_system
0
sinusoid
2.5
2
0
39
4.490393
Solve this system for x: 4.490392640201615x + 1y = 7 1x + 5y = 11 FINAL:
1.118779
1.118779
linear_system
0
sinusoid
2.5
2
0
40
4.5
Solve this system for x: 4.5x + 1y = 7 1x + 5y = 11 FINAL:
1.116279
1.116279
linear_system
0
sinusoid
2.5
2
0
41
4.490393
Solve this system for x: 4.490392640201615x + 1y = 7 1x + 5y = 11 FINAL:
1.118779
1.118779
linear_system
0
sinusoid
2.5
2
0
42
4.46194
Solve this system for x: 4.461939766255643x + 1y = 7 1x + 5y = 11 FINAL:
1.126248
1.126248
linear_system
0
sinusoid
2.5
2
0
43
4.415735
Solve this system for x: 4.4157348061512725x + 1y = 7 1x + 5y = 11 FINAL:
1.138592
1.138592
linear_system
0
sinusoid
2.5
2
0
44
4.353553
Solve this system for x: 4.353553390593274x + 1y = 7 1x + 5y = 11 FINAL:
1.155637
1.155637
linear_system
0
sinusoid
2.5
2
0
45
4.277785
Solve this system for x: 4.2777851165098015x + 1y = 7 1x + 5y = 11 FINAL:
1.17711
1.17711
linear_system
0
sinusoid
2.5
2
0
46
4.191342
Solve this system for x: 4.191341716182546x + 1y = 7 1x + 5y = 11 FINAL:
1.202603
1.202603
linear_system
0
sinusoid
2.5
2
0
47
4.097545
Solve this system for x: 4.097545161008064x + 1y = 7 1x + 5y = 11 FINAL:
1.231544
1.231544
linear_system
0
sinusoid
2.5
2
0
48
4
Solve this system for x: 4.0x + 1y = 7 1x + 5y = 11 FINAL:
1.263158
1.263158
linear_system
0
sinusoid
2.5
2
0
49
3.902455
Solve this system for x: 3.9024548389919365x + 1y = 7 1x + 5y = 11 FINAL:
1.296437
1.296437
linear_system
0
sinusoid
2.5
2
0
50
3.808658
Solve this system for x: 3.808658283817455x + 1y = 7 1x + 5y = 11 FINAL:
1.330134
1.330134
linear_system
0
sinusoid
2.5
2
0
51
3.722215
Solve this system for x: 3.7222148834901994x + 1y = 7 1x + 5y = 11 FINAL:
1.362779
1.362779
linear_system
0
sinusoid
2.5
2
0
52
3.646447
Solve this system for x: 3.646446609406726x + 1y = 7 1x + 5y = 11 FINAL:
1.392739
1.392739
linear_system
0
sinusoid
2.5
2
0
53
3.584265
Solve this system for x: 3.5842651938487275x + 1y = 7 1x + 5y = 11 FINAL:
1.418329
1.418329
linear_system
0
sinusoid
2.5
2
0
54
3.53806
Solve this system for x: 3.538060233744357x + 1y = 7 1x + 5y = 11 FINAL:
1.437961
1.437961
linear_system
0
sinusoid
2.5
2
0
55
3.509607
Solve this system for x: 3.509607359798385x + 1y = 7 1x + 5y = 11 FINAL:
1.450323
1.450323
linear_system
0
sinusoid
2.5
2
0
56
3.5
Solve this system for x: 3.5x + 1y = 7 1x + 5y = 11 FINAL:
1.454545
1.454545
linear_system
0
sinusoid
2.5
2
0
57
3.509607
Solve this system for x: 3.509607359798385x + 1y = 7 1x + 5y = 11 FINAL:
1.450323
1.450323
linear_system
0
sinusoid
2.5
2
0
58
3.53806
Solve this system for x: 3.5380602337443565x + 1y = 7 1x + 5y = 11 FINAL:
1.437961
1.437961
linear_system
0
sinusoid
2.5
2
0
59
3.584265
Solve this system for x: 3.584265193848727x + 1y = 7 1x + 5y = 11 FINAL:
1.418329
1.418329
linear_system
0
sinusoid
2.5
2
0
60
3.646447
Solve this system for x: 3.6464466094067256x + 1y = 7 1x + 5y = 11 FINAL:
1.392739
1.392739
linear_system
0
sinusoid
2.5
2
0
61
3.722215
Solve this system for x: 3.722214883490199x + 1y = 7 1x + 5y = 11 FINAL:
1.362779
1.362779
linear_system
0
sinusoid
2.5
2
0
62
3.808658
Solve this system for x: 3.8086582838174547x + 1y = 7 1x + 5y = 11 FINAL:
1.330134
1.330134
linear_system
0
sinusoid
2.5
2
0
63
3.902455
Solve this system for x: 3.902454838991936x + 1y = 7 1x + 5y = 11 FINAL:
1.296437
1.296437
linear_system
0
sinusoid
2.5
4
0
0
4
Solve this system for x: 4.0x + 1y = 7 1x + 5y = 11 FINAL:
1.263158
1.263158
linear_system
0
sinusoid
2.5
4
0
1
4.191342
Solve this system for x: 4.191341716182545x + 1y = 7 1x + 5y = 11 FINAL:
1.202603
1.202603
linear_system
0
sinusoid
2.5
4
0
2
4.353553
Solve this system for x: 4.353553390593274x + 1y = 7 1x + 5y = 11 FINAL:
1.155637
1.155637
linear_system
0
sinusoid
2.5
4
0
3
4.46194
Solve this system for x: 4.461939766255643x + 1y = 7 1x + 5y = 11 FINAL:
1.126248
1.126248
linear_system
0
sinusoid
2.5
4
0
4
4.5
Solve this system for x: 4.5x + 1y = 7 1x + 5y = 11 FINAL:
1.116279
1.116279
linear_system
0
sinusoid
2.5
4
0
5
4.46194
Solve this system for x: 4.461939766255643x + 1y = 7 1x + 5y = 11 FINAL:
1.126248
1.126248
linear_system
0
sinusoid
2.5
4
0
6
4.353553
Solve this system for x: 4.353553390593274x + 1y = 7 1x + 5y = 11 FINAL:
1.155637
1.155637
linear_system
0
sinusoid
2.5
4
0
7
4.191342
Solve this system for x: 4.191341716182545x + 1y = 7 1x + 5y = 11 FINAL:
1.202603
1.202603
linear_system
0
sinusoid
2.5
4
0
8
4
Solve this system for x: 4.0x + 1y = 7 1x + 5y = 11 FINAL:
1.263158
1.263158
linear_system
0
sinusoid
2.5
4
0
9
3.808658
Solve this system for x: 3.808658283817455x + 1y = 7 1x + 5y = 11 FINAL:
1.330134
1.330134
linear_system
0
sinusoid
2.5
4
0
10
3.646447
Solve this system for x: 3.646446609406726x + 1y = 7 1x + 5y = 11 FINAL:
1.392739
1.392739
linear_system
0
sinusoid
2.5
4
0
11
3.53806
Solve this system for x: 3.538060233744357x + 1y = 7 1x + 5y = 11 FINAL:
1.437961
1.437961