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
120
48
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
49
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
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
120
51
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
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
8
120
53
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
54
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
55
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
56
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
57
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
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
120
59
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
60
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
61
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
120
62
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
63
4.193185
Solve this system for x: 4.193185165257813x + 2y = 8 1x + 3y = 9 FINAL:
0.567132
0.567132
linear_system
1
sinusoid
1
16
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
16
120
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
120
2
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
120
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
120
4
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
120
5
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
120
6
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
120
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
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
16
120
9
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
120
10
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
120
11
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
120
12
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
120
13
3.9
Solve this system for x: 3.8999999999999995x + 2y = 8 1x + 3y = 9 FINAL:
0.618557
0.618557
linear_system
1
sinusoid
1
16
120
14
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
120
15
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
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
16
120
17
3.9
Solve this system for x: 3.8999999999999995x + 2y = 8 1x + 3y = 9 FINAL:
0.618557
0.618557
linear_system
1
sinusoid
1
16
120
18
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
120
19
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
120
20
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
120
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
120
22
3.826795
Solve this system for x: 3.8267949192431114x + 2y = 8 1x + 3y = 9 FINAL:
0.632886
0.632886
linear_system
1
sinusoid
1
16
120
23
4.1
Solve this system for x: 4.099999999999999x + 2y = 8 1x + 3y = 9 FINAL:
0.582524
0.582524
linear_system
1
sinusoid
1
16
120
24
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
120
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
120
26
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
120
27
4.1
Solve this system for x: 4.099999999999999x + 2y = 8 1x + 3y = 9 FINAL:
0.582524
0.582524
linear_system
1
sinusoid
1
16
120
28
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
120
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
120
30
3.826795
Solve this system for x: 3.8267949192431114x + 2y = 8 1x + 3y = 9 FINAL:
0.632886
0.632886
linear_system
1
sinusoid
1
16
120
31
4.1
Solve this system for x: 4.099999999999999x + 2y = 8 1x + 3y = 9 FINAL:
0.582524
0.582524
linear_system
1
sinusoid
1
16
120
32
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
120
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
120
34
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
120
35
4.1
Solve this system for x: 4.099999999999999x + 2y = 8 1x + 3y = 9 FINAL:
0.582524
0.582524
linear_system
1
sinusoid
1
16
120
36
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
120
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
120
38
3.826795
Solve this system for x: 3.8267949192431114x + 2y = 8 1x + 3y = 9 FINAL:
0.632886
0.632886
linear_system
1
sinusoid
1
16
120
39
4.1
Solve this system for x: 4.099999999999999x + 2y = 8 1x + 3y = 9 FINAL:
0.582524
0.582524
linear_system
1
sinusoid
1
16
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
16
120
41
3.9
Solve this system for x: 3.9000000000000017x + 2y = 8 1x + 3y = 9 FINAL:
0.618557
0.618557
linear_system
1
sinusoid
1
16
120
42
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
120
43
4.1
Solve this system for x: 4.099999999999999x + 2y = 8 1x + 3y = 9 FINAL:
0.582524
0.582524
linear_system
1
sinusoid
1
16
120
44
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
120
45
3.9
Solve this system for x: 3.900000000000001x + 2y = 8 1x + 3y = 9 FINAL:
0.618557
0.618557
linear_system
1
sinusoid
1
16
120
46
3.826795
Solve this system for x: 3.8267949192431114x + 2y = 8 1x + 3y = 9 FINAL:
0.632886
0.632886
linear_system
1
sinusoid
1
16
120
47
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
120
48
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
120
49
3.9
Solve this system for x: 3.9000000000000017x + 2y = 8 1x + 3y = 9 FINAL:
0.618557
0.618557
linear_system
1
sinusoid
1
16
120
50
3.826795
Solve this system for x: 3.826794919243112x + 2y = 8 1x + 3y = 9 FINAL:
0.632886
0.632886
linear_system
1
sinusoid
1
16
120
51
4.1
Solve this system for x: 4.099999999999999x + 2y = 8 1x + 3y = 9 FINAL:
0.582524
0.582524
linear_system
1
sinusoid
1
16
120
52
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
120
53
3.9
Solve this system for x: 3.900000000000001x + 2y = 8 1x + 3y = 9 FINAL:
0.618557
0.618557
linear_system
1
sinusoid
1
16
120
54
3.826795
Solve this system for x: 3.8267949192431114x + 2y = 8 1x + 3y = 9 FINAL:
0.632886
0.632886
linear_system
1
sinusoid
1
16
120
55
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
120
56
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
120
57
3.9
Solve this system for x: 3.900000000000002x + 2y = 8 1x + 3y = 9 FINAL:
0.618557
0.618557
linear_system
1
sinusoid
1
16
120
58
3.826795
Solve this system for x: 3.826794919243112x + 2y = 8 1x + 3y = 9 FINAL:
0.632886
0.632886
linear_system
1
sinusoid
1
16
120
59
4.1
Solve this system for x: 4.099999999999999x + 2y = 8 1x + 3y = 9 FINAL:
0.582524
0.582524
linear_system
1
sinusoid
1
16
120
60
4.173205
Solve this system for x: 4.1732050807568895x + 2y = 8 1x + 3y = 9 FINAL:
0.570363
0.570363
linear_system
1
sinusoid
1
16
120
61
3.9
Solve this system for x: 3.900000000000001x + 2y = 8 1x + 3y = 9 FINAL:
0.618557
0.618557
linear_system
1
sinusoid
1
16
120
62
3.826795
Solve this system for x: 3.8267949192431114x + 2y = 8 1x + 3y = 9 FINAL:
0.632886
0.632886
linear_system
1
sinusoid
1
16
120
63
4.1
Solve this system for x: 4.1x + 2y = 8 1x + 3y = 9 FINAL:
0.582524
0.582524
linear_system
1
sinusoid
1
1
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
1
240
1
3.817827
Solve this system for x: 3.817827235015765x + 2y = 8 1x + 3y = 9 FINAL:
0.634687
0.634687
linear_system
1
sinusoid
1
1
240
2
3.810614
Solve this system for x: 3.810613974100979x + 2y = 8 1x + 3y = 9 FINAL:
0.636143
0.636143
linear_system
1
sinusoid
1
1
240
3
3.805225
Solve this system for x: 3.8052246041445335x + 2y = 8 1x + 3y = 9 FINAL:
0.637235
0.637235
linear_system
1
sinusoid
1
1
240
4
3.801711
Solve this system for x: 3.801711027725238x + 2y = 8 1x + 3y = 9 FINAL:
0.63795
0.63795
linear_system
1
sinusoid
1
1
240
5
3.800107
Solve this system for x: 3.8001070825047267x + 2y = 8 1x + 3y = 9 FINAL:
0.638276
0.638276
linear_system
1
sinusoid
1
1
240
6
3.800428
Solve this system for x: 3.8004282153522793x + 2y = 8 1x + 3y = 9 FINAL:
0.638211
0.638211
linear_system
1
sinusoid
1
1
240
7
3.802671
Solve this system for x: 3.802671333583024x + 2y = 8 1x + 3y = 9 FINAL:
0.637754
0.637754
linear_system
1
sinusoid
1
1
240
8
3.806815
Solve this system for x: 3.806814834742186x + 2y = 8 1x + 3y = 9 FINAL:
0.636913
0.636913
linear_system
1
sinusoid
1
1
240
9
3.812819
Solve this system for x: 3.812818814648535x + 2y = 8 1x + 3y = 9 FINAL:
0.635697
0.635697
linear_system
1
sinusoid
1
1
240
10
3.820625
Solve this system for x: 3.8206254516934623x + 2y = 8 1x + 3y = 9 FINAL:
0.634124
0.634124
linear_system
1
sinusoid
1
1
240
11
3.83016
Solve this system for x: 3.830159563694684x + 2y = 8 1x + 3y = 9 FINAL:
0.632213
0.632213
linear_system
1
sinusoid
1
1
240
12
3.841329
Solve this system for x: 3.841329331941753x + 2y = 8 1x + 3y = 9 FINAL:
0.629988
0.629988
linear_system
1
sinusoid
1
1
240
13
3.854027
Solve this system for x: 3.8540271854604327x + 2y = 8 1x + 3y = 9 FINAL:
0.627478
0.627478
linear_system
1
sinusoid
1
1
240
14
3.868131
Solve this system for x: 3.868130836979986x + 2y = 8 1x + 3y = 9 FINAL:
0.624714
0.624714
linear_system
1
sinusoid
1
1
240
15
3.883504
Solve this system for x: 3.8835044606264395x + 2y = 8 1x + 3y = 9 FINAL:
0.621729
0.621729
linear_system
1
sinusoid
1
1
240
16
3.9
Solve this system for x: 3.9x + 2y = 8 1x + 3y = 9 FINAL:
0.618557
0.618557
linear_system
1
sinusoid
1
1
240
17
3.917459
Solve this system for x: 3.917458594039121x + 2y = 8 1x + 3y = 9 FINAL:
0.615235
0.615235
linear_system
1
sinusoid
1
1
240
18
3.935712
Solve this system for x: 3.9357121069393677x + 2y = 8 1x + 3y = 9 FINAL:
0.611799
0.611799
linear_system
1
sinusoid
1
1
240
19
3.954585
Solve this system for x: 3.9545847473931253x + 2y = 8 1x + 3y = 9 FINAL:
0.608288
0.608288