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
16
0
4
4
Solve this system for x: 4.0x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
sinusoid
1
16
0
5
4.2
Solve this system for x: 4.2x + 2y = 8 1x + 3y = 9 FINAL:
0.566038
0.566038
linear_system
1
sinusoid
1
16
0
6
4
Solve this system for x: 4.0x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
sinusoid
1
16
0
7
3.8
Solve this system for x: 3.8x + 2y = 8 1x + 3y = 9 FINAL:
0.638298
0.638298
linear_system
1
sinusoid
1
16
0
8
4
Solve this system for x: 4.0x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
sinusoid
1
16
0
9
4.2
Solve this system for x: 4.2x + 2y = 8 1x + 3y = 9 FINAL:
0.566038
0.566038
linear_system
1
sinusoid
1
16
0
10
4
Solve this system for x: 4.0x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
sinusoid
1
16
0
11
3.8
Solve this system for x: 3.8x + 2y = 8 1x + 3y = 9 FINAL:
0.638298
0.638298
linear_system
1
sinusoid
1
16
0
12
4
Solve this system for x: 4.0x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
sinusoid
1
16
0
13
4.2
Solve this system for x: 4.2x + 2y = 8 1x + 3y = 9 FINAL:
0.566038
0.566038
linear_system
1
sinusoid
1
16
0
14
4
Solve this system for x: 4.0x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
sinusoid
1
16
0
15
3.8
Solve this system for x: 3.8x + 2y = 8 1x + 3y = 9 FINAL:
0.638298
0.638298
linear_system
1
sinusoid
1
16
0
16
4
Solve this system for x: 4.0x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
sinusoid
1
16
0
17
4.2
Solve this system for x: 4.2x + 2y = 8 1x + 3y = 9 FINAL:
0.566038
0.566038
linear_system
1
sinusoid
1
16
0
18
4
Solve this system for x: 4.0x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
sinusoid
1
16
0
19
3.8
Solve this system for x: 3.8x + 2y = 8 1x + 3y = 9 FINAL:
0.638298
0.638298
linear_system
1
sinusoid
1
16
0
20
4
Solve this system for x: 3.9999999999999996x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
sinusoid
1
16
0
21
4.2
Solve this system for x: 4.2x + 2y = 8 1x + 3y = 9 FINAL:
0.566038
0.566038
linear_system
1
sinusoid
1
16
0
22
4
Solve this system for x: 4.000000000000001x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
sinusoid
1
16
0
23
3.8
Solve this system for x: 3.8x + 2y = 8 1x + 3y = 9 FINAL:
0.638298
0.638298
linear_system
1
sinusoid
1
16
0
24
4
Solve this system for x: 3.9999999999999996x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
sinusoid
1
16
0
25
4.2
Solve this system for x: 4.2x + 2y = 8 1x + 3y = 9 FINAL:
0.566038
0.566038
linear_system
1
sinusoid
1
16
0
26
4
Solve this system for x: 3.9999999999999996x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
sinusoid
1
16
0
27
3.8
Solve this system for x: 3.8x + 2y = 8 1x + 3y = 9 FINAL:
0.638298
0.638298
linear_system
1
sinusoid
1
16
0
28
4
Solve this system for x: 3.9999999999999996x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
sinusoid
1
16
0
29
4.2
Solve this system for x: 4.2x + 2y = 8 1x + 3y = 9 FINAL:
0.566038
0.566038
linear_system
1
sinusoid
1
16
0
30
4
Solve this system for x: 4.000000000000001x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
sinusoid
1
16
0
31
3.8
Solve this system for x: 3.8x + 2y = 8 1x + 3y = 9 FINAL:
0.638298
0.638298
linear_system
1
sinusoid
1
16
0
32
4
Solve this system for x: 3.9999999999999996x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
sinusoid
1
16
0
33
4.2
Solve this system for x: 4.2x + 2y = 8 1x + 3y = 9 FINAL:
0.566038
0.566038
linear_system
1
sinusoid
1
16
0
34
4
Solve this system for x: 3.9999999999999996x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
sinusoid
1
16
0
35
3.8
Solve this system for x: 3.8x + 2y = 8 1x + 3y = 9 FINAL:
0.638298
0.638298
linear_system
1
sinusoid
1
16
0
36
4
Solve this system for x: 3.9999999999999996x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
sinusoid
1
16
0
37
4.2
Solve this system for x: 4.2x + 2y = 8 1x + 3y = 9 FINAL:
0.566038
0.566038
linear_system
1
sinusoid
1
16
0
38
4
Solve this system for x: 4.000000000000001x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
sinusoid
1
16
0
39
3.8
Solve this system for x: 3.8x + 2y = 8 1x + 3y = 9 FINAL:
0.638298
0.638298
linear_system
1
sinusoid
1
16
0
40
4
Solve this system for x: 3.9999999999999996x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
sinusoid
1
16
0
41
4.2
Solve this system for x: 4.2x + 2y = 8 1x + 3y = 9 FINAL:
0.566038
0.566038
linear_system
1
sinusoid
1
16
0
42
4
Solve this system for x: 4.0x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
sinusoid
1
16
0
43
3.8
Solve this system for x: 3.8x + 2y = 8 1x + 3y = 9 FINAL:
0.638298
0.638298
linear_system
1
sinusoid
1
16
0
44
4
Solve this system for x: 3.9999999999999982x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
sinusoid
1
16
0
45
4.2
Solve this system for x: 4.2x + 2y = 8 1x + 3y = 9 FINAL:
0.566038
0.566038
linear_system
1
sinusoid
1
16
0
46
4
Solve this system for x: 4.000000000000001x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
sinusoid
1
16
0
47
3.8
Solve this system for x: 3.8x + 2y = 8 1x + 3y = 9 FINAL:
0.638298
0.638298
linear_system
1
sinusoid
1
16
0
48
4
Solve this system for x: 3.9999999999999996x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
sinusoid
1
16
0
49
4.2
Solve this system for x: 4.2x + 2y = 8 1x + 3y = 9 FINAL:
0.566038
0.566038
linear_system
1
sinusoid
1
16
0
50
4
Solve this system for x: 4.0x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
sinusoid
1
16
0
51
3.8
Solve this system for x: 3.8x + 2y = 8 1x + 3y = 9 FINAL:
0.638298
0.638298
linear_system
1
sinusoid
1
16
0
52
4
Solve this system for x: 4.000000000000001x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
sinusoid
1
16
0
53
4.2
Solve this system for x: 4.2x + 2y = 8 1x + 3y = 9 FINAL:
0.566038
0.566038
linear_system
1
sinusoid
1
16
0
54
4
Solve this system for x: 4.000000000000002x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
sinusoid
1
16
0
55
3.8
Solve this system for x: 3.8x + 2y = 8 1x + 3y = 9 FINAL:
0.638298
0.638298
linear_system
1
sinusoid
1
16
0
56
4
Solve this system for x: 3.999999999999999x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
sinusoid
1
16
0
57
4.2
Solve this system for x: 4.2x + 2y = 8 1x + 3y = 9 FINAL:
0.566038
0.566038
linear_system
1
sinusoid
1
16
0
58
4
Solve this system for x: 4.0x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
sinusoid
1
16
0
59
3.8
Solve this system for x: 3.8x + 2y = 8 1x + 3y = 9 FINAL:
0.638298
0.638298
linear_system
1
sinusoid
1
16
0
60
4
Solve this system for x: 3.999999999999998x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
sinusoid
1
16
0
61
4.2
Solve this system for x: 4.2x + 2y = 8 1x + 3y = 9 FINAL:
0.566038
0.566038
linear_system
1
sinusoid
1
16
0
62
4
Solve this system for x: 4.000000000000002x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
sinusoid
1
16
0
63
3.8
Solve this system for x: 3.8x + 2y = 8 1x + 3y = 9 FINAL:
0.638298
0.638298
linear_system
1
sinusoid
1
1
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
1
120
1
4.162569
Solve this system for x: 4.162569336918323x + 2y = 8 1x + 3y = 9 FINAL:
0.572098
0.572098
linear_system
1
sinusoid
1
1
120
2
4.150368
Solve this system for x: 4.150367961495796x + 2y = 8 1x + 3y = 9 FINAL:
0.574102
0.574102
linear_system
1
sinusoid
1
1
120
3
4.136718
Solve this system for x: 4.136718460404574x + 2y = 8 1x + 3y = 9 FINAL:
0.57636
0.57636
linear_system
1
sinusoid
1
1
120
4
4.121752
Solve this system for x: 4.121752285801744x + 2y = 8 1x + 3y = 9 FINAL:
0.578857
0.578857
linear_system
1
sinusoid
1
1
120
5
4.105614
Solve this system for x: 4.105613570130074x + 2y = 8 1x + 3y = 9 FINAL:
0.581573
0.581573
linear_system
1
sinusoid
1
1
120
6
4.088458
Solve this system for x: 4.0884577380438x + 2y = 8 1x + 3y = 9 FINAL:
0.584489
0.584489
linear_system
1
sinusoid
1
1
120
7
4.07045
Solve this system for x: 4.070450009584246x + 2y = 8 1x + 3y = 9 FINAL:
0.587581
0.587581
linear_system
1
sinusoid
1
1
120
8
4.051764
Solve this system for x: 4.051763809020504x + 2y = 8 1x + 3y = 9 FINAL:
0.590825
0.590825
linear_system
1
sinusoid
1
1
120
9
4.032579
Solve this system for x: 4.032579094678918x + 2y = 8 1x + 3y = 9 FINAL:
0.594193
0.594193
linear_system
1
sinusoid
1
1
120
10
4.013081
Solve this system for x: 4.013080625846029x + 2y = 8 1x + 3y = 9 FINAL:
0.597655
0.597655
linear_system
1
sinusoid
1
1
120
11
3.993456
Solve this system for x: 3.993456183435645x + 2y = 8 1x + 3y = 9 FINAL:
0.60118
0.60118
linear_system
1
sinusoid
1
1
120
12
3.973895
Solve this system for x: 3.97389476155599x + 2y = 8 1x + 3y = 9 FINAL:
0.604736
0.604736
linear_system
1
sinusoid
1
1
120
13
3.954585
Solve this system for x: 3.9545847473931253x + 2y = 8 1x + 3y = 9 FINAL:
0.608288
0.608288
linear_system
1
sinusoid
1
1
120
14
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
120
15
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
120
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
120
17
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
120
18
3.868131
Solve this system for x: 3.8681308369799865x + 2y = 8 1x + 3y = 9 FINAL:
0.624714
0.624714
linear_system
1
sinusoid
1
1
120
19
3.854027
Solve this system for x: 3.854027185460433x + 2y = 8 1x + 3y = 9 FINAL:
0.627478
0.627478
linear_system
1
sinusoid
1
1
120
20
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
120
21
3.83016
Solve this system for x: 3.8301595636946844x + 2y = 8 1x + 3y = 9 FINAL:
0.632213
0.632213
linear_system
1
sinusoid
1
1
120
22
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
120
23
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
120
24
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
120
25
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
120
26
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
120
27
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
120
28
3.801711
Solve this system for x: 3.8017110277252377x + 2y = 8 1x + 3y = 9 FINAL:
0.63795
0.63795
linear_system
1
sinusoid
1
1
120
29
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
120
30
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
120
31
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
120
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
1
120
33
3.837431
Solve this system for x: 3.837430663081677x + 2y = 8 1x + 3y = 9 FINAL:
0.630763
0.630763
linear_system
1
sinusoid
1
1
120
34
3.849632
Solve this system for x: 3.8496320385042044x + 2y = 8 1x + 3y = 9 FINAL:
0.628345
0.628345
linear_system
1
sinusoid
1
1
120
35
3.863282
Solve this system for x: 3.863281539595426x + 2y = 8 1x + 3y = 9 FINAL:
0.625662
0.625662
linear_system
1
sinusoid
1
1
120
36
3.878248
Solve this system for x: 3.8782477141982556x + 2y = 8 1x + 3y = 9 FINAL:
0.622746
0.622746
linear_system
1
sinusoid
1
1
120
37
3.894386
Solve this system for x: 3.8943864298699262x + 2y = 8 1x + 3y = 9 FINAL:
0.619632
0.619632
linear_system
1
sinusoid
1
1
120
38
3.911542
Solve this system for x: 3.9115422619561997x + 2y = 8 1x + 3y = 9 FINAL:
0.616356
0.616356
linear_system
1
sinusoid
1
1
120
39
3.92955
Solve this system for x: 3.929549990415753x + 2y = 8 1x + 3y = 9 FINAL:
0.612955
0.612955