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
4
120
12
4.1
Solve this system for x: 4.1x + 2y = 8 1x + 3y = 9 FINAL:
0.582524
0.582524
linear_system
1
sinusoid
1
4
120
13
4.158671
Solve this system for x: 4.158670668058247x + 2y = 8 1x + 3y = 9 FINAL:
0.572737
0.572737
linear_system
1
sinusoid
1
4
120
14
4.193185
Solve this system for x: 4.193185165257813x + 2y = 8 1x + 3y = 9 FINAL:
0.567132
0.567132
linear_system
1
sinusoid
1
4
120
15
4.198289
Solve this system for x: 4.198288972274762x + 2y = 8 1x + 3y = 9 FINAL:
0.566312
0.566312
linear_system
1
sinusoid
1
4
120
16
4.173205
Solve this system for x: 4.173205080756888x + 2y = 8 1x + 3y = 9 FINAL:
0.570363
0.570363
linear_system
1
sinusoid
1
4
120
17
4.121752
Solve this system for x: 4.121752285801744x + 2y = 8 1x + 3y = 9 FINAL:
0.578857
0.578857
linear_system
1
sinusoid
1
4
120
18
4.051764
Solve this system for x: 4.051763809020504x + 2y = 8 1x + 3y = 9 FINAL:
0.590825
0.590825
linear_system
1
sinusoid
1
4
120
19
3.973895
Solve this system for x: 3.97389476155599x + 2y = 8 1x + 3y = 9 FINAL:
0.604736
0.604736
linear_system
1
sinusoid
1
4
120
20
3.9
Solve this system for x: 3.9000000000000004x + 2y = 8 1x + 3y = 9 FINAL:
0.618557
0.618557
linear_system
1
sinusoid
1
4
120
21
3.841329
Solve this system for x: 3.841329331941753x + 2y = 8 1x + 3y = 9 FINAL:
0.629988
0.629988
linear_system
1
sinusoid
1
4
120
22
3.806815
Solve this system for x: 3.8068148347421866x + 2y = 8 1x + 3y = 9 FINAL:
0.636913
0.636913
linear_system
1
sinusoid
1
4
120
23
3.801711
Solve this system for x: 3.8017110277252377x + 2y = 8 1x + 3y = 9 FINAL:
0.63795
0.63795
linear_system
1
sinusoid
1
4
120
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
4
120
25
3.878248
Solve this system for x: 3.8782477141982556x + 2y = 8 1x + 3y = 9 FINAL:
0.622746
0.622746
linear_system
1
sinusoid
1
4
120
26
3.948236
Solve this system for x: 3.948236190979496x + 2y = 8 1x + 3y = 9 FINAL:
0.609464
0.609464
linear_system
1
sinusoid
1
4
120
27
4.026105
Solve this system for x: 4.02610523844401x + 2y = 8 1x + 3y = 9 FINAL:
0.595338
0.595338
linear_system
1
sinusoid
1
4
120
28
4.1
Solve this system for x: 4.1x + 2y = 8 1x + 3y = 9 FINAL:
0.582524
0.582524
linear_system
1
sinusoid
1
4
120
29
4.158671
Solve this system for x: 4.158670668058247x + 2y = 8 1x + 3y = 9 FINAL:
0.572737
0.572737
linear_system
1
sinusoid
1
4
120
30
4.193185
Solve this system for x: 4.193185165257813x + 2y = 8 1x + 3y = 9 FINAL:
0.567132
0.567132
linear_system
1
sinusoid
1
4
120
31
4.198289
Solve this system for x: 4.198288972274762x + 2y = 8 1x + 3y = 9 FINAL:
0.566312
0.566312
linear_system
1
sinusoid
1
4
120
32
4.173205
Solve this system for x: 4.173205080756888x + 2y = 8 1x + 3y = 9 FINAL:
0.570363
0.570363
linear_system
1
sinusoid
1
4
120
33
4.121752
Solve this system for x: 4.121752285801744x + 2y = 8 1x + 3y = 9 FINAL:
0.578857
0.578857
linear_system
1
sinusoid
1
4
120
34
4.051764
Solve this system for x: 4.051763809020504x + 2y = 8 1x + 3y = 9 FINAL:
0.590825
0.590825
linear_system
1
sinusoid
1
4
120
35
3.973895
Solve this system for x: 3.97389476155599x + 2y = 8 1x + 3y = 9 FINAL:
0.604736
0.604736
linear_system
1
sinusoid
1
4
120
36
3.9
Solve this system for x: 3.9000000000000004x + 2y = 8 1x + 3y = 9 FINAL:
0.618557
0.618557
linear_system
1
sinusoid
1
4
120
37
3.841329
Solve this system for x: 3.8413293319417527x + 2y = 8 1x + 3y = 9 FINAL:
0.629988
0.629988
linear_system
1
sinusoid
1
4
120
38
3.806815
Solve this system for x: 3.806814834742186x + 2y = 8 1x + 3y = 9 FINAL:
0.636913
0.636913
linear_system
1
sinusoid
1
4
120
39
3.801711
Solve this system for x: 3.8017110277252377x + 2y = 8 1x + 3y = 9 FINAL:
0.63795
0.63795
linear_system
1
sinusoid
1
4
120
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
4
120
41
3.878248
Solve this system for x: 3.8782477141982556x + 2y = 8 1x + 3y = 9 FINAL:
0.622746
0.622746
linear_system
1
sinusoid
1
4
120
42
3.948236
Solve this system for x: 3.9482361909794963x + 2y = 8 1x + 3y = 9 FINAL:
0.609464
0.609464
linear_system
1
sinusoid
1
4
120
43
4.026105
Solve this system for x: 4.026105238444011x + 2y = 8 1x + 3y = 9 FINAL:
0.595338
0.595338
linear_system
1
sinusoid
1
4
120
44
4.1
Solve this system for x: 4.1x + 2y = 8 1x + 3y = 9 FINAL:
0.582524
0.582524
linear_system
1
sinusoid
1
4
120
45
4.158671
Solve this system for x: 4.158670668058247x + 2y = 8 1x + 3y = 9 FINAL:
0.572737
0.572737
linear_system
1
sinusoid
1
4
120
46
4.193185
Solve this system for x: 4.193185165257813x + 2y = 8 1x + 3y = 9 FINAL:
0.567132
0.567132
linear_system
1
sinusoid
1
4
120
47
4.198289
Solve this system for x: 4.198288972274762x + 2y = 8 1x + 3y = 9 FINAL:
0.566312
0.566312
linear_system
1
sinusoid
1
4
120
48
4.173205
Solve this system for x: 4.173205080756888x + 2y = 8 1x + 3y = 9 FINAL:
0.570363
0.570363
linear_system
1
sinusoid
1
4
120
49
4.121752
Solve this system for x: 4.121752285801744x + 2y = 8 1x + 3y = 9 FINAL:
0.578857
0.578857
linear_system
1
sinusoid
1
4
120
50
4.051764
Solve this system for x: 4.051763809020504x + 2y = 8 1x + 3y = 9 FINAL:
0.590825
0.590825
linear_system
1
sinusoid
1
4
120
51
3.973895
Solve this system for x: 3.97389476155599x + 2y = 8 1x + 3y = 9 FINAL:
0.604736
0.604736
linear_system
1
sinusoid
1
4
120
52
3.9
Solve this system for x: 3.8999999999999995x + 2y = 8 1x + 3y = 9 FINAL:
0.618557
0.618557
linear_system
1
sinusoid
1
4
120
53
3.841329
Solve this system for x: 3.8413293319417527x + 2y = 8 1x + 3y = 9 FINAL:
0.629988
0.629988
linear_system
1
sinusoid
1
4
120
54
3.806815
Solve this system for x: 3.806814834742186x + 2y = 8 1x + 3y = 9 FINAL:
0.636913
0.636913
linear_system
1
sinusoid
1
4
120
55
3.801711
Solve this system for x: 3.801711027725238x + 2y = 8 1x + 3y = 9 FINAL:
0.63795
0.63795
linear_system
1
sinusoid
1
4
120
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
4
120
57
3.878248
Solve this system for x: 3.8782477141982556x + 2y = 8 1x + 3y = 9 FINAL:
0.622746
0.622746
linear_system
1
sinusoid
1
4
120
58
3.948236
Solve this system for x: 3.948236190979496x + 2y = 8 1x + 3y = 9 FINAL:
0.609464
0.609464
linear_system
1
sinusoid
1
4
120
59
4.026105
Solve this system for x: 4.026105238444011x + 2y = 8 1x + 3y = 9 FINAL:
0.595338
0.595338
linear_system
1
sinusoid
1
4
120
60
4.1
Solve this system for x: 4.1x + 2y = 8 1x + 3y = 9 FINAL:
0.582524
0.582524
linear_system
1
sinusoid
1
4
120
61
4.158671
Solve this system for x: 4.158670668058247x + 2y = 8 1x + 3y = 9 FINAL:
0.572737
0.572737
linear_system
1
sinusoid
1
4
120
62
4.193185
Solve this system for x: 4.193185165257813x + 2y = 8 1x + 3y = 9 FINAL:
0.567132
0.567132
linear_system
1
sinusoid
1
4
120
63
4.198289
Solve this system for x: 4.198288972274762x + 2y = 8 1x + 3y = 9 FINAL:
0.566312
0.566312
linear_system
1
sinusoid
1
8
120
0
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
120
1
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
120
2
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
120
3
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
120
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
8
120
5
3.948236
Solve this system for x: 3.948236190979496x + 2y = 8 1x + 3y = 9 FINAL:
0.609464
0.609464
linear_system
1
sinusoid
1
8
120
6
4.1
Solve this system for x: 4.1x + 2y = 8 1x + 3y = 9 FINAL:
0.582524
0.582524
linear_system
1
sinusoid
1
8
120
7
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
120
8
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
120
9
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
120
10
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
120
11
3.806815
Solve this system for x: 3.8068148347421866x + 2y = 8 1x + 3y = 9 FINAL:
0.636913
0.636913
linear_system
1
sinusoid
1
8
120
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
8
120
13
3.948236
Solve this system for x: 3.948236190979496x + 2y = 8 1x + 3y = 9 FINAL:
0.609464
0.609464
linear_system
1
sinusoid
1
8
120
14
4.1
Solve this system for x: 4.1x + 2y = 8 1x + 3y = 9 FINAL:
0.582524
0.582524
linear_system
1
sinusoid
1
8
120
15
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
120
16
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
120
17
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
120
18
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
120
19
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
120
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
8
120
21
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
120
22
4.1
Solve this system for x: 4.1x + 2y = 8 1x + 3y = 9 FINAL:
0.582524
0.582524
linear_system
1
sinusoid
1
8
120
23
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
120
24
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
120
25
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
120
26
3.9
Solve this system for x: 3.8999999999999995x + 2y = 8 1x + 3y = 9 FINAL:
0.618557
0.618557
linear_system
1
sinusoid
1
8
120
27
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
120
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
8
120
29
3.948236
Solve this system for x: 3.948236190979496x + 2y = 8 1x + 3y = 9 FINAL:
0.609464
0.609464
linear_system
1
sinusoid
1
8
120
30
4.1
Solve this system for x: 4.1x + 2y = 8 1x + 3y = 9 FINAL:
0.582524
0.582524
linear_system
1
sinusoid
1
8
120
31
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
120
32
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
120
33
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
120
34
3.9
Solve this system for x: 3.8999999999999995x + 2y = 8 1x + 3y = 9 FINAL:
0.618557
0.618557
linear_system
1
sinusoid
1
8
120
35
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
120
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
8
120
37
3.948236
Solve this system for x: 3.948236190979496x + 2y = 8 1x + 3y = 9 FINAL:
0.609464
0.609464
linear_system
1
sinusoid
1
8
120
38
4.1
Solve this system for x: 4.1x + 2y = 8 1x + 3y = 9 FINAL:
0.582524
0.582524
linear_system
1
sinusoid
1
8
120
39
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
120
40
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
120
41
4.051764
Solve this system for x: 4.051763809020505x + 2y = 8 1x + 3y = 9 FINAL:
0.590825
0.590825
linear_system
1
sinusoid
1
8
120
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
120
43
3.806815
Solve this system for x: 3.8068148347421866x + 2y = 8 1x + 3y = 9 FINAL:
0.636913
0.636913
linear_system
1
sinusoid
1
8
120
44
3.826795
Solve this system for x: 3.8267949192431114x + 2y = 8 1x + 3y = 9 FINAL:
0.632886
0.632886
linear_system
1
sinusoid
1
8
120
45
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
120
46
4.1
Solve this system for x: 4.099999999999999x + 2y = 8 1x + 3y = 9 FINAL:
0.582524
0.582524
linear_system
1
sinusoid
1
8
120
47
4.193185
Solve this system for x: 4.193185165257813x + 2y = 8 1x + 3y = 9 FINAL:
0.567132
0.567132