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
2
0
56
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
2
0
57
3.509607
Solve this system for x: 3.509607359798385x + 1y = 10 2x + 4y = 12 FINAL:
2.325885
2.325885
linear_system
2
sinusoid
2.5
2
0
58
3.53806
Solve this system for x: 3.5380602337443565x + 1y = 10 2x + 4y = 12 FINAL:
2.304102
2.304102
linear_system
2
sinusoid
2.5
2
0
59
3.584265
Solve this system for x: 3.584265193848727x + 1y = 10 2x + 4y = 12 FINAL:
2.269584
2.269584
linear_system
2
sinusoid
2.5
2
0
60
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
2
0
61
3.722215
Solve this system for x: 3.722214883490199x + 1y = 10 2x + 4y = 12 FINAL:
2.172419
2.172419
linear_system
2
sinusoid
2.5
2
0
62
3.808658
Solve this system for x: 3.8086582838174547x + 1y = 10 2x + 4y = 12 FINAL:
2.115661
2.115661
linear_system
2
sinusoid
2.5
2
0
63
3.902455
Solve this system for x: 3.902454838991936x + 1y = 10 2x + 4y = 12 FINAL:
2.057338
2.057338
linear_system
2
sinusoid
2.5
4
0
0
4
Solve this system for x: 4.0x + 1y = 10 2x + 4y = 12 FINAL:
2
2
linear_system
2
sinusoid
2.5
4
0
1
4.191342
Solve this system for x: 4.191341716182545x + 1y = 10 2x + 4y = 12 FINAL:
1.896329
1.896329
linear_system
2
sinusoid
2.5
4
0
2
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
4
0
3
4.46194
Solve this system for x: 4.461939766255643x + 1y = 10 2x + 4y = 12 FINAL:
1.766811
1.766811
linear_system
2
sinusoid
2.5
4
0
4
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
4
0
5
4.46194
Solve this system for x: 4.461939766255643x + 1y = 10 2x + 4y = 12 FINAL:
1.766811
1.766811
linear_system
2
sinusoid
2.5
4
0
6
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
4
0
7
4.191342
Solve this system for x: 4.191341716182545x + 1y = 10 2x + 4y = 12 FINAL:
1.896329
1.896329
linear_system
2
sinusoid
2.5
4
0
8
4
Solve this system for x: 4.0x + 1y = 10 2x + 4y = 12 FINAL:
2
2
linear_system
2
sinusoid
2.5
4
0
9
3.808658
Solve this system for x: 3.808658283817455x + 1y = 10 2x + 4y = 12 FINAL:
2.115661
2.115661
linear_system
2
sinusoid
2.5
4
0
10
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
4
0
11
3.53806
Solve this system for x: 3.538060233744357x + 1y = 10 2x + 4y = 12 FINAL:
2.304102
2.304102
linear_system
2
sinusoid
2.5
4
0
12
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
4
0
13
3.53806
Solve this system for x: 3.5380602337443565x + 1y = 10 2x + 4y = 12 FINAL:
2.304102
2.304102
linear_system
2
sinusoid
2.5
4
0
14
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
4
0
15
3.808658
Solve this system for x: 3.8086582838174547x + 1y = 10 2x + 4y = 12 FINAL:
2.115661
2.115661
linear_system
2
sinusoid
2.5
4
0
16
4
Solve this system for x: 4.0x + 1y = 10 2x + 4y = 12 FINAL:
2
2
linear_system
2
sinusoid
2.5
4
0
17
4.191342
Solve this system for x: 4.191341716182545x + 1y = 10 2x + 4y = 12 FINAL:
1.896329
1.896329
linear_system
2
sinusoid
2.5
4
0
18
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
4
0
19
4.46194
Solve this system for x: 4.461939766255643x + 1y = 10 2x + 4y = 12 FINAL:
1.766811
1.766811
linear_system
2
sinusoid
2.5
4
0
20
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
4
0
21
4.46194
Solve this system for x: 4.461939766255643x + 1y = 10 2x + 4y = 12 FINAL:
1.766811
1.766811
linear_system
2
sinusoid
2.5
4
0
22
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
4
0
23
4.191342
Solve this system for x: 4.191341716182546x + 1y = 10 2x + 4y = 12 FINAL:
1.896329
1.896329
linear_system
2
sinusoid
2.5
4
0
24
4
Solve this system for x: 4.0x + 1y = 10 2x + 4y = 12 FINAL:
2
2
linear_system
2
sinusoid
2.5
4
0
25
3.808658
Solve this system for x: 3.808658283817455x + 1y = 10 2x + 4y = 12 FINAL:
2.115661
2.115661
linear_system
2
sinusoid
2.5
4
0
26
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
4
0
27
3.53806
Solve this system for x: 3.538060233744357x + 1y = 10 2x + 4y = 12 FINAL:
2.304102
2.304102
linear_system
2
sinusoid
2.5
4
0
28
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
4
0
29
3.53806
Solve this system for x: 3.5380602337443565x + 1y = 10 2x + 4y = 12 FINAL:
2.304102
2.304102
linear_system
2
sinusoid
2.5
4
0
30
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
4
0
31
3.808658
Solve this system for x: 3.8086582838174547x + 1y = 10 2x + 4y = 12 FINAL:
2.115661
2.115661
linear_system
2
sinusoid
2.5
4
0
32
4
Solve this system for x: 3.9999999999999996x + 1y = 10 2x + 4y = 12 FINAL:
2
2
linear_system
2
sinusoid
2.5
4
0
33
4.191342
Solve this system for x: 4.191341716182545x + 1y = 10 2x + 4y = 12 FINAL:
1.896329
1.896329
linear_system
2
sinusoid
2.5
4
0
34
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
4
0
35
4.46194
Solve this system for x: 4.461939766255643x + 1y = 10 2x + 4y = 12 FINAL:
1.766811
1.766811
linear_system
2
sinusoid
2.5
4
0
36
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
4
0
37
4.46194
Solve this system for x: 4.461939766255643x + 1y = 10 2x + 4y = 12 FINAL:
1.766811
1.766811
linear_system
2
sinusoid
2.5
4
0
38
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
4
0
39
4.191342
Solve this system for x: 4.191341716182546x + 1y = 10 2x + 4y = 12 FINAL:
1.896329
1.896329
linear_system
2
sinusoid
2.5
4
0
40
4
Solve this system for x: 4.0x + 1y = 10 2x + 4y = 12 FINAL:
2
2
linear_system
2
sinusoid
2.5
4
0
41
3.808658
Solve this system for x: 3.808658283817456x + 1y = 10 2x + 4y = 12 FINAL:
2.115661
2.115661
linear_system
2
sinusoid
2.5
4
0
42
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
4
0
43
3.53806
Solve this system for x: 3.538060233744357x + 1y = 10 2x + 4y = 12 FINAL:
2.304102
2.304102
linear_system
2
sinusoid
2.5
4
0
44
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
4
0
45
3.53806
Solve this system for x: 3.5380602337443565x + 1y = 10 2x + 4y = 12 FINAL:
2.304102
2.304102
linear_system
2
sinusoid
2.5
4
0
46
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
4
0
47
3.808658
Solve this system for x: 3.808658283817455x + 1y = 10 2x + 4y = 12 FINAL:
2.115661
2.115661
linear_system
2
sinusoid
2.5
4
0
48
4
Solve this system for x: 3.9999999999999996x + 1y = 10 2x + 4y = 12 FINAL:
2
2
linear_system
2
sinusoid
2.5
4
0
49
4.191342
Solve this system for x: 4.191341716182544x + 1y = 10 2x + 4y = 12 FINAL:
1.896329
1.896329
linear_system
2
sinusoid
2.5
4
0
50
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
4
0
51
4.46194
Solve this system for x: 4.461939766255643x + 1y = 10 2x + 4y = 12 FINAL:
1.766811
1.766811
linear_system
2
sinusoid
2.5
4
0
52
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
4
0
53
4.46194
Solve this system for x: 4.461939766255643x + 1y = 10 2x + 4y = 12 FINAL:
1.766811
1.766811
linear_system
2
sinusoid
2.5
4
0
54
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
4
0
55
4.191342
Solve this system for x: 4.191341716182545x + 1y = 10 2x + 4y = 12 FINAL:
1.896329
1.896329
linear_system
2
sinusoid
2.5
4
0
56
4
Solve this system for x: 4.0x + 1y = 10 2x + 4y = 12 FINAL:
2
2
linear_system
2
sinusoid
2.5
4
0
57
3.808658
Solve this system for x: 3.808658283817456x + 1y = 10 2x + 4y = 12 FINAL:
2.115661
2.115661
linear_system
2
sinusoid
2.5
4
0
58
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
4
0
59
3.53806
Solve this system for x: 3.538060233744357x + 1y = 10 2x + 4y = 12 FINAL:
2.304102
2.304102
linear_system
2
sinusoid
2.5
4
0
60
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
4
0
61
3.53806
Solve this system for x: 3.5380602337443565x + 1y = 10 2x + 4y = 12 FINAL:
2.304102
2.304102
linear_system
2
sinusoid
2.5
4
0
62
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
4
0
63
3.808658
Solve this system for x: 3.808658283817455x + 1y = 10 2x + 4y = 12 FINAL:
2.115661
2.115661
linear_system
2
sinusoid
2.5
8
0
0
4
Solve this system for x: 4.0x + 1y = 10 2x + 4y = 12 FINAL:
2
2
linear_system
2
sinusoid
2.5
8
0
1
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
2
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
3
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
4
4
Solve this system for x: 4.0x + 1y = 10 2x + 4y = 12 FINAL:
2
2
linear_system
2
sinusoid
2.5
8
0
5
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
6
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
7
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
8
4
Solve this system for x: 4.0x + 1y = 10 2x + 4y = 12 FINAL:
2
2
linear_system
2
sinusoid
2.5
8
0
9
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
10
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
11
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
12
4
Solve this system for x: 4.0x + 1y = 10 2x + 4y = 12 FINAL:
2
2
linear_system
2
sinusoid
2.5
8
0
13
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
14
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
15
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
16
4
Solve this system for x: 3.9999999999999996x + 1y = 10 2x + 4y = 12 FINAL:
2
2
linear_system
2
sinusoid
2.5
8
0
17
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
18
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
19
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
20
4
Solve this system for x: 4.0x + 1y = 10 2x + 4y = 12 FINAL:
2
2
linear_system
2
sinusoid
2.5
8
0
21
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
22
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
23
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
24
4
Solve this system for x: 3.9999999999999996x + 1y = 10 2x + 4y = 12 FINAL:
2
2
linear_system
2
sinusoid
2.5
8
0
25
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
26
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
27
4.353553
Solve this system for x: 4.353553390593275x + 1y = 10 2x + 4y = 12 FINAL:
1.816505
1.816505