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
2
sinusoid
2.5
8
0
28
4
Solve this system for x: 4.0x + 1y = 10 2x + 4y = 12 FINAL:
2
2
linear_system
2
sinusoid
2.5
8
0
29
3.646447
Solve this system for x: 3.646446609406726x + 1y = 10 2x + 4y = 12 FINAL:
2.224732
2.224732
linear_system
2
sinusoid
2.5
8
0
30
3.5
Solve this system for x: 3.5x + 1y = 10 2x + 4y = 12 FINAL:
2.333333
2.333333
linear_system
2
sinusoid
2.5
8
0
31
3.646447
Solve this system for x: 3.6464466094067256x + 1y = 10 2x + 4y = 12 FINAL:
2.224732
2.224732
linear_system
2
sinusoid
2.5
8
0
32
4
Solve this system for x: 3.9999999999999996x + 1y = 10 2x + 4y = 12 FINAL:
2
2
linear_system
2
sinusoid
2.5
8
0
33
4.353553
Solve this system for x: 4.353553390593274x + 1y = 10 2x + 4y = 12 FINAL:
1.816505
1.816505
linear_system
2
sinusoid
2.5
8
0
34
4.5
Solve this system for x: 4.5x + 1y = 10 2x + 4y = 12 FINAL:
1.75
1.75
linear_system
2
sinusoid
2.5
8
0
35
4.353553
Solve this system for x: 4.353553390593275x + 1y = 10 2x + 4y = 12 FINAL:
1.816505
1.816505
linear_system
2
sinusoid
2.5
8
0
36
4
Solve this system for x: 4.000000000000001x + 1y = 10 2x + 4y = 12 FINAL:
2
2
linear_system
2
sinusoid
2.5
8
0
37
3.646447
Solve this system for x: 3.6464466094067265x + 1y = 10 2x + 4y = 12 FINAL:
2.224732
2.224732
linear_system
2
sinusoid
2.5
8
0
38
3.5
Solve this system for x: 3.5x + 1y = 10 2x + 4y = 12 FINAL:
2.333333
2.333333
linear_system
2
sinusoid
2.5
8
0
39
3.646447
Solve this system for x: 3.6464466094067256x + 1y = 10 2x + 4y = 12 FINAL:
2.224732
2.224732
linear_system
2
sinusoid
2.5
8
0
40
4
Solve this system for x: 3.9999999999999996x + 1y = 10 2x + 4y = 12 FINAL:
2
2
linear_system
2
sinusoid
2.5
8
0
41
4.353553
Solve this system for x: 4.353553390593272x + 1y = 10 2x + 4y = 12 FINAL:
1.816505
1.816505
linear_system
2
sinusoid
2.5
8
0
42
4.5
Solve this system for x: 4.5x + 1y = 10 2x + 4y = 12 FINAL:
1.75
1.75
linear_system
2
sinusoid
2.5
8
0
43
4.353553
Solve this system for x: 4.353553390593275x + 1y = 10 2x + 4y = 12 FINAL:
1.816505
1.816505
linear_system
2
sinusoid
2.5
8
0
44
4
Solve this system for x: 4.000000000000003x + 1y = 10 2x + 4y = 12 FINAL:
2
2
linear_system
2
sinusoid
2.5
8
0
45
3.646447
Solve this system for x: 3.6464466094067265x + 1y = 10 2x + 4y = 12 FINAL:
2.224732
2.224732
linear_system
2
sinusoid
2.5
8
0
46
3.5
Solve this system for x: 3.5x + 1y = 10 2x + 4y = 12 FINAL:
2.333333
2.333333
linear_system
2
sinusoid
2.5
8
0
47
3.646447
Solve this system for x: 3.6464466094067265x + 1y = 10 2x + 4y = 12 FINAL:
2.224732
2.224732
linear_system
2
sinusoid
2.5
8
0
48
4
Solve this system for x: 3.999999999999999x + 1y = 10 2x + 4y = 12 FINAL:
2
2
linear_system
2
sinusoid
2.5
8
0
49
4.353553
Solve this system for x: 4.353553390593272x + 1y = 10 2x + 4y = 12 FINAL:
1.816505
1.816505
linear_system
2
sinusoid
2.5
8
0
50
4.5
Solve this system for x: 4.5x + 1y = 10 2x + 4y = 12 FINAL:
1.75
1.75
linear_system
2
sinusoid
2.5
8
0
51
4.353553
Solve this system for x: 4.353553390593275x + 1y = 10 2x + 4y = 12 FINAL:
1.816505
1.816505
linear_system
2
sinusoid
2.5
8
0
52
4
Solve this system for x: 3.999999999999999x + 1y = 10 2x + 4y = 12 FINAL:
2
2
linear_system
2
sinusoid
2.5
8
0
53
3.646447
Solve this system for x: 3.6464466094067265x + 1y = 10 2x + 4y = 12 FINAL:
2.224732
2.224732
linear_system
2
sinusoid
2.5
8
0
54
3.5
Solve this system for x: 3.5x + 1y = 10 2x + 4y = 12 FINAL:
2.333333
2.333333
linear_system
2
sinusoid
2.5
8
0
55
3.646447
Solve this system for x: 3.6464466094067265x + 1y = 10 2x + 4y = 12 FINAL:
2.224732
2.224732
linear_system
2
sinusoid
2.5
8
0
56
4
Solve this system for x: 3.999999999999999x + 1y = 10 2x + 4y = 12 FINAL:
2
2
linear_system
2
sinusoid
2.5
8
0
57
4.353553
Solve this system for x: 4.353553390593272x + 1y = 10 2x + 4y = 12 FINAL:
1.816505
1.816505
linear_system
2
sinusoid
2.5
8
0
58
4.5
Solve this system for x: 4.5x + 1y = 10 2x + 4y = 12 FINAL:
1.75
1.75
linear_system
2
sinusoid
2.5
8
0
59
4.353553
Solve this system for x: 4.353553390593275x + 1y = 10 2x + 4y = 12 FINAL:
1.816505
1.816505
linear_system
2
sinusoid
2.5
8
0
60
4
Solve this system for x: 4.000000000000003x + 1y = 10 2x + 4y = 12 FINAL:
2
2
linear_system
2
sinusoid
2.5
8
0
61
3.646447
Solve this system for x: 3.6464466094067265x + 1y = 10 2x + 4y = 12 FINAL:
2.224732
2.224732
linear_system
2
sinusoid
2.5
8
0
62
3.5
Solve this system for x: 3.5x + 1y = 10 2x + 4y = 12 FINAL:
2.333333
2.333333
linear_system
2
sinusoid
2.5
8
0
63
3.646447
Solve this system for x: 3.6464466094067265x + 1y = 10 2x + 4y = 12 FINAL:
2.224732
2.224732
linear_system
2
sinusoid
2.5
16
0
0
4
Solve this system for x: 4.0x + 1y = 10 2x + 4y = 12 FINAL:
2
2
linear_system
2
sinusoid
2.5
16
0
1
4.5
Solve this system for x: 4.5x + 1y = 10 2x + 4y = 12 FINAL:
1.75
1.75
linear_system
2
sinusoid
2.5
16
0
2
4
Solve this system for x: 4.0x + 1y = 10 2x + 4y = 12 FINAL:
2
2
linear_system
2
sinusoid
2.5
16
0
3
3.5
Solve this system for x: 3.5x + 1y = 10 2x + 4y = 12 FINAL:
2.333333
2.333333
linear_system
2
sinusoid
2.5
16
0
4
4
Solve this system for x: 4.0x + 1y = 10 2x + 4y = 12 FINAL:
2
2
linear_system
2
sinusoid
2.5
16
0
5
4.5
Solve this system for x: 4.5x + 1y = 10 2x + 4y = 12 FINAL:
1.75
1.75
linear_system
2
sinusoid
2.5
16
0
6
4
Solve this system for x: 4.0x + 1y = 10 2x + 4y = 12 FINAL:
2
2
linear_system
2
sinusoid
2.5
16
0
7
3.5
Solve this system for x: 3.5x + 1y = 10 2x + 4y = 12 FINAL:
2.333333
2.333333
linear_system
2
sinusoid
2.5
16
0
8
4
Solve this system for x: 3.9999999999999996x + 1y = 10 2x + 4y = 12 FINAL:
2
2
linear_system
2
sinusoid
2.5
16
0
9
4.5
Solve this system for x: 4.5x + 1y = 10 2x + 4y = 12 FINAL:
1.75
1.75
linear_system
2
sinusoid
2.5
16
0
10
4
Solve this system for x: 4.0x + 1y = 10 2x + 4y = 12 FINAL:
2
2
linear_system
2
sinusoid
2.5
16
0
11
3.5
Solve this system for x: 3.5x + 1y = 10 2x + 4y = 12 FINAL:
2.333333
2.333333
linear_system
2
sinusoid
2.5
16
0
12
4
Solve this system for x: 3.9999999999999996x + 1y = 10 2x + 4y = 12 FINAL:
2
2
linear_system
2
sinusoid
2.5
16
0
13
4.5
Solve this system for x: 4.5x + 1y = 10 2x + 4y = 12 FINAL:
1.75
1.75
linear_system
2
sinusoid
2.5
16
0
14
4
Solve this system for x: 4.0x + 1y = 10 2x + 4y = 12 FINAL:
2
2
linear_system
2
sinusoid
2.5
16
0
15
3.5
Solve this system for x: 3.5x + 1y = 10 2x + 4y = 12 FINAL:
2.333333
2.333333
linear_system
2
sinusoid
2.5
16
0
16
4
Solve this system for x: 3.9999999999999996x + 1y = 10 2x + 4y = 12 FINAL:
2
2
linear_system
2
sinusoid
2.5
16
0
17
4.5
Solve this system for x: 4.5x + 1y = 10 2x + 4y = 12 FINAL:
1.75
1.75
linear_system
2
sinusoid
2.5
16
0
18
4
Solve this system for x: 4.000000000000001x + 1y = 10 2x + 4y = 12 FINAL:
2
2
linear_system
2
sinusoid
2.5
16
0
19
3.5
Solve this system for x: 3.5x + 1y = 10 2x + 4y = 12 FINAL:
2.333333
2.333333
linear_system
2
sinusoid
2.5
16
0
20
4
Solve this system for x: 3.9999999999999996x + 1y = 10 2x + 4y = 12 FINAL:
2
2
linear_system
2
sinusoid
2.5
16
0
21
4.5
Solve this system for x: 4.5x + 1y = 10 2x + 4y = 12 FINAL:
1.75
1.75
linear_system
2
sinusoid
2.5
16
0
22
4
Solve this system for x: 4.000000000000003x + 1y = 10 2x + 4y = 12 FINAL:
2
2
linear_system
2
sinusoid
2.5
16
0
23
3.5
Solve this system for x: 3.5x + 1y = 10 2x + 4y = 12 FINAL:
2.333333
2.333333
linear_system
2
sinusoid
2.5
16
0
24
4
Solve this system for x: 3.999999999999999x + 1y = 10 2x + 4y = 12 FINAL:
2
2
linear_system
2
sinusoid
2.5
16
0
25
4.5
Solve this system for x: 4.5x + 1y = 10 2x + 4y = 12 FINAL:
1.75
1.75
linear_system
2
sinusoid
2.5
16
0
26
4
Solve this system for x: 3.999999999999999x + 1y = 10 2x + 4y = 12 FINAL:
2
2
linear_system
2
sinusoid
2.5
16
0
27
3.5
Solve this system for x: 3.5x + 1y = 10 2x + 4y = 12 FINAL:
2.333333
2.333333
linear_system
2
sinusoid
2.5
16
0
28
4
Solve this system for x: 3.999999999999999x + 1y = 10 2x + 4y = 12 FINAL:
2
2
linear_system
2
sinusoid
2.5
16
0
29
4.5
Solve this system for x: 4.5x + 1y = 10 2x + 4y = 12 FINAL:
1.75
1.75
linear_system
2
sinusoid
2.5
16
0
30
4
Solve this system for x: 4.000000000000003x + 1y = 10 2x + 4y = 12 FINAL:
2
2
linear_system
2
sinusoid
2.5
16
0
31
3.5
Solve this system for x: 3.5x + 1y = 10 2x + 4y = 12 FINAL:
2.333333
2.333333
linear_system
2
sinusoid
2.5
16
0
32
4
Solve this system for x: 3.999999999999999x + 1y = 10 2x + 4y = 12 FINAL:
2
2
linear_system
2
sinusoid
2.5
16
0
33
4.5
Solve this system for x: 4.5x + 1y = 10 2x + 4y = 12 FINAL:
1.75
1.75
linear_system
2
sinusoid
2.5
16
0
34
4
Solve this system for x: 3.999999999999999x + 1y = 10 2x + 4y = 12 FINAL:
2
2
linear_system
2
sinusoid
2.5
16
0
35
3.5
Solve this system for x: 3.5x + 1y = 10 2x + 4y = 12 FINAL:
2.333333
2.333333
linear_system
2
sinusoid
2.5
16
0
36
4
Solve this system for x: 3.999999999999999x + 1y = 10 2x + 4y = 12 FINAL:
2
2
linear_system
2
sinusoid
2.5
16
0
37
4.5
Solve this system for x: 4.5x + 1y = 10 2x + 4y = 12 FINAL:
1.75
1.75
linear_system
2
sinusoid
2.5
16
0
38
4
Solve this system for x: 4.000000000000003x + 1y = 10 2x + 4y = 12 FINAL:
2
2
linear_system
2
sinusoid
2.5
16
0
39
3.5
Solve this system for x: 3.5x + 1y = 10 2x + 4y = 12 FINAL:
2.333333
2.333333
linear_system
2
sinusoid
2.5
16
0
40
4
Solve this system for x: 3.9999999999999987x + 1y = 10 2x + 4y = 12 FINAL:
2
2
linear_system
2
sinusoid
2.5
16
0
41
4.5
Solve this system for x: 4.5x + 1y = 10 2x + 4y = 12 FINAL:
1.75
1.75
linear_system
2
sinusoid
2.5
16
0
42
4
Solve this system for x: 3.9999999999999996x + 1y = 10 2x + 4y = 12 FINAL:
2
2
linear_system
2
sinusoid
2.5
16
0
43
3.5
Solve this system for x: 3.5x + 1y = 10 2x + 4y = 12 FINAL:
2.333333
2.333333
linear_system
2
sinusoid
2.5
16
0
44
4
Solve this system for x: 3.999999999999995x + 1y = 10 2x + 4y = 12 FINAL:
2
2
linear_system
2
sinusoid
2.5
16
0
45
4.5
Solve this system for x: 4.5x + 1y = 10 2x + 4y = 12 FINAL:
1.75
1.75
linear_system
2
sinusoid
2.5
16
0
46
4
Solve this system for x: 4.0000000000000036x + 1y = 10 2x + 4y = 12 FINAL:
2
2
linear_system
2
sinusoid
2.5
16
0
47
3.5
Solve this system for x: 3.5x + 1y = 10 2x + 4y = 12 FINAL:
2.333333
2.333333
linear_system
2
sinusoid
2.5
16
0
48
4
Solve this system for x: 3.9999999999999987x + 1y = 10 2x + 4y = 12 FINAL:
2
2
linear_system
2
sinusoid
2.5
16
0
49
4.5
Solve this system for x: 4.5x + 1y = 10 2x + 4y = 12 FINAL:
1.75
1.75
linear_system
2
sinusoid
2.5
16
0
50
4
Solve this system for x: 3.9999999999999996x + 1y = 10 2x + 4y = 12 FINAL:
2
2
linear_system
2
sinusoid
2.5
16
0
51
3.5
Solve this system for x: 3.5x + 1y = 10 2x + 4y = 12 FINAL:
2.333333
2.333333
linear_system
2
sinusoid
2.5
16
0
52
4
Solve this system for x: 4.000000000000002x + 1y = 10 2x + 4y = 12 FINAL:
2
2
linear_system
2
sinusoid
2.5
16
0
53
4.5
Solve this system for x: 4.5x + 1y = 10 2x + 4y = 12 FINAL:
1.75
1.75
linear_system
2
sinusoid
2.5
16
0
54
4
Solve this system for x: 4.0000000000000036x + 1y = 10 2x + 4y = 12 FINAL:
2
2
linear_system
2
sinusoid
2.5
16
0
55
3.5
Solve this system for x: 3.5x + 1y = 10 2x + 4y = 12 FINAL:
2.333333
2.333333
linear_system
2
sinusoid
2.5
16
0
56
4
Solve this system for x: 3.9999999999999982x + 1y = 10 2x + 4y = 12 FINAL:
2
2
linear_system
2
sinusoid
2.5
16
0
57
4.5
Solve this system for x: 4.5x + 1y = 10 2x + 4y = 12 FINAL:
1.75
1.75
linear_system
2
sinusoid
2.5
16
0
58
4
Solve this system for x: 4.0x + 1y = 10 2x + 4y = 12 FINAL:
2
2
linear_system
2
sinusoid
2.5
16
0
59
3.5
Solve this system for x: 3.5x + 1y = 10 2x + 4y = 12 FINAL:
2.333333
2.333333
linear_system
2
sinusoid
2.5
16
0
60
4
Solve this system for x: 3.9999999999999947x + 1y = 10 2x + 4y = 12 FINAL:
2
2
linear_system
2
sinusoid
2.5
16
0
61
4.5
Solve this system for x: 4.5x + 1y = 10 2x + 4y = 12 FINAL:
1.75
1.75
linear_system
2
sinusoid
2.5
16
0
62
4
Solve this system for x: 4.0000000000000036x + 1y = 10 2x + 4y = 12 FINAL:
2
2
linear_system
2
sinusoid
2.5
16
0
63
3.5
Solve this system for x: 3.5x + 1y = 10 2x + 4y = 12 FINAL:
2.333333
2.333333