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
1
sinusoid
1
8
240
28
4.173205
Solve this system for x: 4.173205080756888x + 2y = 8 1x + 3y = 9 FINAL:
0.570363
0.570363
linear_system
1
sinusoid
1
8
240
29
4.193185
Solve this system for x: 4.193185165257813x + 2y = 8 1x + 3y = 9 FINAL:
0.567132
0.567132
linear_system
1
sinusoid
1
8
240
30
4.1
Solve this system for x: 4.1000000000000005x + 2y = 8 1x + 3y = 9 FINAL:
0.582524
0.582524
linear_system
1
sinusoid
1
8
240
31
3.948236
Solve this system for x: 3.9482361909794963x + 2y = 8 1x + 3y = 9 FINAL:
0.609464
0.609464
linear_system
1
sinusoid
1
8
240
32
3.826795
Solve this system for x: 3.8267949192431123x + 2y = 8 1x + 3y = 9 FINAL:
0.632886
0.632886
linear_system
1
sinusoid
1
8
240
33
3.806815
Solve this system for x: 3.806814834742186x + 2y = 8 1x + 3y = 9 FINAL:
0.636913
0.636913
linear_system
1
sinusoid
1
8
240
34
3.9
Solve this system for x: 3.9x + 2y = 8 1x + 3y = 9 FINAL:
0.618557
0.618557
linear_system
1
sinusoid
1
8
240
35
4.051764
Solve this system for x: 4.051763809020503x + 2y = 8 1x + 3y = 9 FINAL:
0.590825
0.590825
linear_system
1
sinusoid
1
8
240
36
4.173205
Solve this system for x: 4.173205080756888x + 2y = 8 1x + 3y = 9 FINAL:
0.570363
0.570363
linear_system
1
sinusoid
1
8
240
37
4.193185
Solve this system for x: 4.193185165257813x + 2y = 8 1x + 3y = 9 FINAL:
0.567132
0.567132
linear_system
1
sinusoid
1
8
240
38
4.1
Solve this system for x: 4.1000000000000005x + 2y = 8 1x + 3y = 9 FINAL:
0.582524
0.582524
linear_system
1
sinusoid
1
8
240
39
3.948236
Solve this system for x: 3.9482361909794963x + 2y = 8 1x + 3y = 9 FINAL:
0.609464
0.609464
linear_system
1
sinusoid
1
8
240
40
3.826795
Solve this system for x: 3.8267949192431123x + 2y = 8 1x + 3y = 9 FINAL:
0.632886
0.632886
linear_system
1
sinusoid
1
8
240
41
3.806815
Solve this system for x: 3.806814834742186x + 2y = 8 1x + 3y = 9 FINAL:
0.636913
0.636913
linear_system
1
sinusoid
1
8
240
42
3.9
Solve this system for x: 3.9000000000000004x + 2y = 8 1x + 3y = 9 FINAL:
0.618557
0.618557
linear_system
1
sinusoid
1
8
240
43
4.051764
Solve this system for x: 4.051763809020504x + 2y = 8 1x + 3y = 9 FINAL:
0.590825
0.590825
linear_system
1
sinusoid
1
8
240
44
4.173205
Solve this system for x: 4.173205080756888x + 2y = 8 1x + 3y = 9 FINAL:
0.570363
0.570363
linear_system
1
sinusoid
1
8
240
45
4.193185
Solve this system for x: 4.193185165257813x + 2y = 8 1x + 3y = 9 FINAL:
0.567132
0.567132
linear_system
1
sinusoid
1
8
240
46
4.1
Solve this system for x: 4.1000000000000005x + 2y = 8 1x + 3y = 9 FINAL:
0.582524
0.582524
linear_system
1
sinusoid
1
8
240
47
3.948236
Solve this system for x: 3.948236190979495x + 2y = 8 1x + 3y = 9 FINAL:
0.609464
0.609464
linear_system
1
sinusoid
1
8
240
48
3.826795
Solve this system for x: 3.8267949192431123x + 2y = 8 1x + 3y = 9 FINAL:
0.632886
0.632886
linear_system
1
sinusoid
1
8
240
49
3.806815
Solve this system for x: 3.806814834742186x + 2y = 8 1x + 3y = 9 FINAL:
0.636913
0.636913
linear_system
1
sinusoid
1
8
240
50
3.9
Solve this system for x: 3.9000000000000004x + 2y = 8 1x + 3y = 9 FINAL:
0.618557
0.618557
linear_system
1
sinusoid
1
8
240
51
4.051764
Solve this system for x: 4.051763809020504x + 2y = 8 1x + 3y = 9 FINAL:
0.590825
0.590825
linear_system
1
sinusoid
1
8
240
52
4.173205
Solve this system for x: 4.173205080756889x + 2y = 8 1x + 3y = 9 FINAL:
0.570363
0.570363
linear_system
1
sinusoid
1
8
240
53
4.193185
Solve this system for x: 4.193185165257813x + 2y = 8 1x + 3y = 9 FINAL:
0.567132
0.567132
linear_system
1
sinusoid
1
8
240
54
4.1
Solve this system for x: 4.1000000000000005x + 2y = 8 1x + 3y = 9 FINAL:
0.582524
0.582524
linear_system
1
sinusoid
1
8
240
55
3.948236
Solve this system for x: 3.9482361909794954x + 2y = 8 1x + 3y = 9 FINAL:
0.609464
0.609464
linear_system
1
sinusoid
1
8
240
56
3.826795
Solve this system for x: 3.8267949192431123x + 2y = 8 1x + 3y = 9 FINAL:
0.632886
0.632886
linear_system
1
sinusoid
1
8
240
57
3.806815
Solve this system for x: 3.806814834742186x + 2y = 8 1x + 3y = 9 FINAL:
0.636913
0.636913
linear_system
1
sinusoid
1
8
240
58
3.9
Solve this system for x: 3.9000000000000004x + 2y = 8 1x + 3y = 9 FINAL:
0.618557
0.618557
linear_system
1
sinusoid
1
8
240
59
4.051764
Solve this system for x: 4.051763809020504x + 2y = 8 1x + 3y = 9 FINAL:
0.590825
0.590825
linear_system
1
sinusoid
1
8
240
60
4.173205
Solve this system for x: 4.173205080756888x + 2y = 8 1x + 3y = 9 FINAL:
0.570363
0.570363
linear_system
1
sinusoid
1
8
240
61
4.193185
Solve this system for x: 4.193185165257813x + 2y = 8 1x + 3y = 9 FINAL:
0.567132
0.567132
linear_system
1
sinusoid
1
8
240
62
4.1
Solve this system for x: 4.1000000000000005x + 2y = 8 1x + 3y = 9 FINAL:
0.582524
0.582524
linear_system
1
sinusoid
1
8
240
63
3.948236
Solve this system for x: 3.9482361909794954x + 2y = 8 1x + 3y = 9 FINAL:
0.609464
0.609464
linear_system
1
sinusoid
1
16
240
0
3.826795
Solve this system for x: 3.8267949192431123x + 2y = 8 1x + 3y = 9 FINAL:
0.632886
0.632886
linear_system
1
sinusoid
1
16
240
1
3.9
Solve this system for x: 3.9x + 2y = 8 1x + 3y = 9 FINAL:
0.618557
0.618557
linear_system
1
sinusoid
1
16
240
2
4.173205
Solve this system for x: 4.173205080756888x + 2y = 8 1x + 3y = 9 FINAL:
0.570363
0.570363
linear_system
1
sinusoid
1
16
240
3
4.1
Solve this system for x: 4.1x + 2y = 8 1x + 3y = 9 FINAL:
0.582524
0.582524
linear_system
1
sinusoid
1
16
240
4
3.826795
Solve this system for x: 3.8267949192431123x + 2y = 8 1x + 3y = 9 FINAL:
0.632886
0.632886
linear_system
1
sinusoid
1
16
240
5
3.9
Solve this system for x: 3.9x + 2y = 8 1x + 3y = 9 FINAL:
0.618557
0.618557
linear_system
1
sinusoid
1
16
240
6
4.173205
Solve this system for x: 4.173205080756888x + 2y = 8 1x + 3y = 9 FINAL:
0.570363
0.570363
linear_system
1
sinusoid
1
16
240
7
4.1
Solve this system for x: 4.1x + 2y = 8 1x + 3y = 9 FINAL:
0.582524
0.582524
linear_system
1
sinusoid
1
16
240
8
3.826795
Solve this system for x: 3.8267949192431123x + 2y = 8 1x + 3y = 9 FINAL:
0.632886
0.632886
linear_system
1
sinusoid
1
16
240
9
3.9
Solve this system for x: 3.9x + 2y = 8 1x + 3y = 9 FINAL:
0.618557
0.618557
linear_system
1
sinusoid
1
16
240
10
4.173205
Solve this system for x: 4.173205080756888x + 2y = 8 1x + 3y = 9 FINAL:
0.570363
0.570363
linear_system
1
sinusoid
1
16
240
11
4.1
Solve this system for x: 4.1000000000000005x + 2y = 8 1x + 3y = 9 FINAL:
0.582524
0.582524
linear_system
1
sinusoid
1
16
240
12
3.826795
Solve this system for x: 3.8267949192431123x + 2y = 8 1x + 3y = 9 FINAL:
0.632886
0.632886
linear_system
1
sinusoid
1
16
240
13
3.9
Solve this system for x: 3.9x + 2y = 8 1x + 3y = 9 FINAL:
0.618557
0.618557
linear_system
1
sinusoid
1
16
240
14
4.173205
Solve this system for x: 4.173205080756888x + 2y = 8 1x + 3y = 9 FINAL:
0.570363
0.570363
linear_system
1
sinusoid
1
16
240
15
4.1
Solve this system for x: 4.1000000000000005x + 2y = 8 1x + 3y = 9 FINAL:
0.582524
0.582524
linear_system
1
sinusoid
1
16
240
16
3.826795
Solve this system for x: 3.8267949192431123x + 2y = 8 1x + 3y = 9 FINAL:
0.632886
0.632886
linear_system
1
sinusoid
1
16
240
17
3.9
Solve this system for x: 3.9x + 2y = 8 1x + 3y = 9 FINAL:
0.618557
0.618557
linear_system
1
sinusoid
1
16
240
18
4.173205
Solve this system for x: 4.173205080756888x + 2y = 8 1x + 3y = 9 FINAL:
0.570363
0.570363
linear_system
1
sinusoid
1
16
240
19
4.1
Solve this system for x: 4.1000000000000005x + 2y = 8 1x + 3y = 9 FINAL:
0.582524
0.582524
linear_system
1
sinusoid
1
16
240
20
3.826795
Solve this system for x: 3.8267949192431123x + 2y = 8 1x + 3y = 9 FINAL:
0.632886
0.632886
linear_system
1
sinusoid
1
16
240
21
3.9
Solve this system for x: 3.9000000000000004x + 2y = 8 1x + 3y = 9 FINAL:
0.618557
0.618557
linear_system
1
sinusoid
1
16
240
22
4.173205
Solve this system for x: 4.173205080756888x + 2y = 8 1x + 3y = 9 FINAL:
0.570363
0.570363
linear_system
1
sinusoid
1
16
240
23
4.1
Solve this system for x: 4.1000000000000005x + 2y = 8 1x + 3y = 9 FINAL:
0.582524
0.582524
linear_system
1
sinusoid
1
16
240
24
3.826795
Solve this system for x: 3.8267949192431123x + 2y = 8 1x + 3y = 9 FINAL:
0.632886
0.632886
linear_system
1
sinusoid
1
16
240
25
3.9
Solve this system for x: 3.9000000000000004x + 2y = 8 1x + 3y = 9 FINAL:
0.618557
0.618557
linear_system
1
sinusoid
1
16
240
26
4.173205
Solve this system for x: 4.173205080756889x + 2y = 8 1x + 3y = 9 FINAL:
0.570363
0.570363
linear_system
1
sinusoid
1
16
240
27
4.1
Solve this system for x: 4.1000000000000005x + 2y = 8 1x + 3y = 9 FINAL:
0.582524
0.582524
linear_system
1
sinusoid
1
16
240
28
3.826795
Solve this system for x: 3.8267949192431123x + 2y = 8 1x + 3y = 9 FINAL:
0.632886
0.632886
linear_system
1
sinusoid
1
16
240
29
3.9
Solve this system for x: 3.9000000000000004x + 2y = 8 1x + 3y = 9 FINAL:
0.618557
0.618557
linear_system
1
sinusoid
1
16
240
30
4.173205
Solve this system for x: 4.173205080756888x + 2y = 8 1x + 3y = 9 FINAL:
0.570363
0.570363
linear_system
1
sinusoid
1
16
240
31
4.1
Solve this system for x: 4.1000000000000005x + 2y = 8 1x + 3y = 9 FINAL:
0.582524
0.582524
linear_system
1
sinusoid
1
16
240
32
3.826795
Solve this system for x: 3.8267949192431123x + 2y = 8 1x + 3y = 9 FINAL:
0.632886
0.632886
linear_system
1
sinusoid
1
16
240
33
3.9
Solve this system for x: 3.9000000000000004x + 2y = 8 1x + 3y = 9 FINAL:
0.618557
0.618557
linear_system
1
sinusoid
1
16
240
34
4.173205
Solve this system for x: 4.173205080756889x + 2y = 8 1x + 3y = 9 FINAL:
0.570363
0.570363
linear_system
1
sinusoid
1
16
240
35
4.1
Solve this system for x: 4.1000000000000005x + 2y = 8 1x + 3y = 9 FINAL:
0.582524
0.582524
linear_system
1
sinusoid
1
16
240
36
3.826795
Solve this system for x: 3.8267949192431123x + 2y = 8 1x + 3y = 9 FINAL:
0.632886
0.632886
linear_system
1
sinusoid
1
16
240
37
3.9
Solve this system for x: 3.9000000000000004x + 2y = 8 1x + 3y = 9 FINAL:
0.618557
0.618557
linear_system
1
sinusoid
1
16
240
38
4.173205
Solve this system for x: 4.173205080756888x + 2y = 8 1x + 3y = 9 FINAL:
0.570363
0.570363
linear_system
1
sinusoid
1
16
240
39
4.1
Solve this system for x: 4.1000000000000005x + 2y = 8 1x + 3y = 9 FINAL:
0.582524
0.582524
linear_system
1
sinusoid
1
16
240
40
3.826795
Solve this system for x: 3.826794919243113x + 2y = 8 1x + 3y = 9 FINAL:
0.632886
0.632886
linear_system
1
sinusoid
1
16
240
41
3.9
Solve this system for x: 3.8999999999999977x + 2y = 8 1x + 3y = 9 FINAL:
0.618557
0.618557
linear_system
1
sinusoid
1
16
240
42
4.173205
Solve this system for x: 4.173205080756888x + 2y = 8 1x + 3y = 9 FINAL:
0.570363
0.570363
linear_system
1
sinusoid
1
16
240
43
4.1
Solve this system for x: 4.100000000000001x + 2y = 8 1x + 3y = 9 FINAL:
0.582524
0.582524
linear_system
1
sinusoid
1
16
240
44
3.826795
Solve this system for x: 3.8267949192431137x + 2y = 8 1x + 3y = 9 FINAL:
0.632886
0.632886
linear_system
1
sinusoid
1
16
240
45
3.9
Solve this system for x: 3.899999999999999x + 2y = 8 1x + 3y = 9 FINAL:
0.618557
0.618557
linear_system
1
sinusoid
1
16
240
46
4.173205
Solve this system for x: 4.173205080756887x + 2y = 8 1x + 3y = 9 FINAL:
0.570363
0.570363
linear_system
1
sinusoid
1
16
240
47
4.1
Solve this system for x: 4.1000000000000005x + 2y = 8 1x + 3y = 9 FINAL:
0.582524
0.582524
linear_system
1
sinusoid
1
16
240
48
3.826795
Solve this system for x: 3.826794919243113x + 2y = 8 1x + 3y = 9 FINAL:
0.632886
0.632886
linear_system
1
sinusoid
1
16
240
49
3.9
Solve this system for x: 3.8999999999999977x + 2y = 8 1x + 3y = 9 FINAL:
0.618557
0.618557
linear_system
1
sinusoid
1
16
240
50
4.173205
Solve this system for x: 4.173205080756888x + 2y = 8 1x + 3y = 9 FINAL:
0.570363
0.570363
linear_system
1
sinusoid
1
16
240
51
4.1
Solve this system for x: 4.100000000000001x + 2y = 8 1x + 3y = 9 FINAL:
0.582524
0.582524
linear_system
1
sinusoid
1
16
240
52
3.826795
Solve this system for x: 3.8267949192431123x + 2y = 8 1x + 3y = 9 FINAL:
0.632886
0.632886
linear_system
1
sinusoid
1
16
240
53
3.9
Solve this system for x: 3.899999999999999x + 2y = 8 1x + 3y = 9 FINAL:
0.618557
0.618557
linear_system
1
sinusoid
1
16
240
54
4.173205
Solve this system for x: 4.173205080756887x + 2y = 8 1x + 3y = 9 FINAL:
0.570363
0.570363
linear_system
1
sinusoid
1
16
240
55
4.1
Solve this system for x: 4.1000000000000005x + 2y = 8 1x + 3y = 9 FINAL:
0.582524
0.582524
linear_system
1
sinusoid
1
16
240
56
3.826795
Solve this system for x: 3.826794919243113x + 2y = 8 1x + 3y = 9 FINAL:
0.632886
0.632886
linear_system
1
sinusoid
1
16
240
57
3.9
Solve this system for x: 3.8999999999999977x + 2y = 8 1x + 3y = 9 FINAL:
0.618557
0.618557
linear_system
1
sinusoid
1
16
240
58
4.173205
Solve this system for x: 4.173205080756887x + 2y = 8 1x + 3y = 9 FINAL:
0.570363
0.570363
linear_system
1
sinusoid
1
16
240
59
4.1
Solve this system for x: 4.100000000000001x + 2y = 8 1x + 3y = 9 FINAL:
0.582524
0.582524
linear_system
1
sinusoid
1
16
240
60
3.826795
Solve this system for x: 3.8267949192431137x + 2y = 8 1x + 3y = 9 FINAL:
0.632886
0.632886
linear_system
1
sinusoid
1
16
240
61
3.9
Solve this system for x: 3.8999999999999986x + 2y = 8 1x + 3y = 9 FINAL:
0.618557
0.618557
linear_system
1
sinusoid
1
16
240
62
4.173205
Solve this system for x: 4.173205080756887x + 2y = 8 1x + 3y = 9 FINAL:
0.570363
0.570363
linear_system
1
sinusoid
1
16
240
63
4.1
Solve this system for x: 4.1000000000000005x + 2y = 8 1x + 3y = 9 FINAL:
0.582524
0.582524