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
0.5
8
0
48
4
Solve this system for x: 4.0x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
sinusoid
0.5
8
0
49
4.070711
Solve this system for x: 4.070710678118655x + 2y = 8 1x + 3y = 9 FINAL:
0.587536
0.587536
linear_system
1
sinusoid
0.5
8
0
50
4.1
Solve this system for x: 4.1x + 2y = 8 1x + 3y = 9 FINAL:
0.582524
0.582524
linear_system
1
sinusoid
0.5
8
0
51
4.070711
Solve this system for x: 4.070710678118655x + 2y = 8 1x + 3y = 9 FINAL:
0.587536
0.587536
linear_system
1
sinusoid
0.5
8
0
52
4
Solve this system for x: 4.0x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
sinusoid
0.5
8
0
53
3.929289
Solve this system for x: 3.9292893218813454x + 2y = 8 1x + 3y = 9 FINAL:
0.613004
0.613004
linear_system
1
sinusoid
0.5
8
0
54
3.9
Solve this system for x: 3.9x + 2y = 8 1x + 3y = 9 FINAL:
0.618557
0.618557
linear_system
1
sinusoid
0.5
8
0
55
3.929289
Solve this system for x: 3.9292893218813454x + 2y = 8 1x + 3y = 9 FINAL:
0.613004
0.613004
linear_system
1
sinusoid
0.5
8
0
56
4
Solve this system for x: 4.0x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
sinusoid
0.5
8
0
57
4.070711
Solve this system for x: 4.070710678118655x + 2y = 8 1x + 3y = 9 FINAL:
0.587536
0.587536
linear_system
1
sinusoid
0.5
8
0
58
4.1
Solve this system for x: 4.1x + 2y = 8 1x + 3y = 9 FINAL:
0.582524
0.582524
linear_system
1
sinusoid
0.5
8
0
59
4.070711
Solve this system for x: 4.070710678118655x + 2y = 8 1x + 3y = 9 FINAL:
0.587536
0.587536
linear_system
1
sinusoid
0.5
8
0
60
4
Solve this system for x: 4.000000000000001x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
sinusoid
0.5
8
0
61
3.929289
Solve this system for x: 3.9292893218813454x + 2y = 8 1x + 3y = 9 FINAL:
0.613004
0.613004
linear_system
1
sinusoid
0.5
8
0
62
3.9
Solve this system for x: 3.9x + 2y = 8 1x + 3y = 9 FINAL:
0.618557
0.618557
linear_system
1
sinusoid
0.5
8
0
63
3.929289
Solve this system for x: 3.9292893218813454x + 2y = 8 1x + 3y = 9 FINAL:
0.613004
0.613004
linear_system
1
sinusoid
0.5
16
0
0
4
Solve this system for x: 4.0x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
sinusoid
0.5
16
0
1
4.1
Solve this system for x: 4.1x + 2y = 8 1x + 3y = 9 FINAL:
0.582524
0.582524
linear_system
1
sinusoid
0.5
16
0
2
4
Solve this system for x: 4.0x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
sinusoid
0.5
16
0
3
3.9
Solve this system for x: 3.9x + 2y = 8 1x + 3y = 9 FINAL:
0.618557
0.618557
linear_system
1
sinusoid
0.5
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
0.5
16
0
5
4.1
Solve this system for x: 4.1x + 2y = 8 1x + 3y = 9 FINAL:
0.582524
0.582524
linear_system
1
sinusoid
0.5
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
0.5
16
0
7
3.9
Solve this system for x: 3.9x + 2y = 8 1x + 3y = 9 FINAL:
0.618557
0.618557
linear_system
1
sinusoid
0.5
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
0.5
16
0
9
4.1
Solve this system for x: 4.1x + 2y = 8 1x + 3y = 9 FINAL:
0.582524
0.582524
linear_system
1
sinusoid
0.5
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
0.5
16
0
11
3.9
Solve this system for x: 3.9x + 2y = 8 1x + 3y = 9 FINAL:
0.618557
0.618557
linear_system
1
sinusoid
0.5
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
0.5
16
0
13
4.1
Solve this system for x: 4.1x + 2y = 8 1x + 3y = 9 FINAL:
0.582524
0.582524
linear_system
1
sinusoid
0.5
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
0.5
16
0
15
3.9
Solve this system for x: 3.9x + 2y = 8 1x + 3y = 9 FINAL:
0.618557
0.618557
linear_system
1
sinusoid
0.5
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
0.5
16
0
17
4.1
Solve this system for x: 4.1x + 2y = 8 1x + 3y = 9 FINAL:
0.582524
0.582524
linear_system
1
sinusoid
0.5
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
0.5
16
0
19
3.9
Solve this system for x: 3.9x + 2y = 8 1x + 3y = 9 FINAL:
0.618557
0.618557
linear_system
1
sinusoid
0.5
16
0
20
4
Solve this system for x: 4.0x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
sinusoid
0.5
16
0
21
4.1
Solve this system for x: 4.1x + 2y = 8 1x + 3y = 9 FINAL:
0.582524
0.582524
linear_system
1
sinusoid
0.5
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
0.5
16
0
23
3.9
Solve this system for x: 3.9x + 2y = 8 1x + 3y = 9 FINAL:
0.618557
0.618557
linear_system
1
sinusoid
0.5
16
0
24
4
Solve this system for x: 4.0x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
sinusoid
0.5
16
0
25
4.1
Solve this system for x: 4.1x + 2y = 8 1x + 3y = 9 FINAL:
0.582524
0.582524
linear_system
1
sinusoid
0.5
16
0
26
4
Solve this system for x: 4.0x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
sinusoid
0.5
16
0
27
3.9
Solve this system for x: 3.9x + 2y = 8 1x + 3y = 9 FINAL:
0.618557
0.618557
linear_system
1
sinusoid
0.5
16
0
28
4
Solve this system for x: 4.0x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
sinusoid
0.5
16
0
29
4.1
Solve this system for x: 4.1x + 2y = 8 1x + 3y = 9 FINAL:
0.582524
0.582524
linear_system
1
sinusoid
0.5
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
0.5
16
0
31
3.9
Solve this system for x: 3.9x + 2y = 8 1x + 3y = 9 FINAL:
0.618557
0.618557
linear_system
1
sinusoid
0.5
16
0
32
4
Solve this system for x: 4.0x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
sinusoid
0.5
16
0
33
4.1
Solve this system for x: 4.1x + 2y = 8 1x + 3y = 9 FINAL:
0.582524
0.582524
linear_system
1
sinusoid
0.5
16
0
34
4
Solve this system for x: 4.0x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
sinusoid
0.5
16
0
35
3.9
Solve this system for x: 3.9x + 2y = 8 1x + 3y = 9 FINAL:
0.618557
0.618557
linear_system
1
sinusoid
0.5
16
0
36
4
Solve this system for x: 4.0x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
sinusoid
0.5
16
0
37
4.1
Solve this system for x: 4.1x + 2y = 8 1x + 3y = 9 FINAL:
0.582524
0.582524
linear_system
1
sinusoid
0.5
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
0.5
16
0
39
3.9
Solve this system for x: 3.9x + 2y = 8 1x + 3y = 9 FINAL:
0.618557
0.618557
linear_system
1
sinusoid
0.5
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
0.5
16
0
41
4.1
Solve this system for x: 4.1x + 2y = 8 1x + 3y = 9 FINAL:
0.582524
0.582524
linear_system
1
sinusoid
0.5
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
0.5
16
0
43
3.9
Solve this system for x: 3.9x + 2y = 8 1x + 3y = 9 FINAL:
0.618557
0.618557
linear_system
1
sinusoid
0.5
16
0
44
4
Solve this system for x: 3.999999999999999x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
sinusoid
0.5
16
0
45
4.1
Solve this system for x: 4.1x + 2y = 8 1x + 3y = 9 FINAL:
0.582524
0.582524
linear_system
1
sinusoid
0.5
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
0.5
16
0
47
3.9
Solve this system for x: 3.9x + 2y = 8 1x + 3y = 9 FINAL:
0.618557
0.618557
linear_system
1
sinusoid
0.5
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
0.5
16
0
49
4.1
Solve this system for x: 4.1x + 2y = 8 1x + 3y = 9 FINAL:
0.582524
0.582524
linear_system
1
sinusoid
0.5
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
0.5
16
0
51
3.9
Solve this system for x: 3.9x + 2y = 8 1x + 3y = 9 FINAL:
0.618557
0.618557
linear_system
1
sinusoid
0.5
16
0
52
4
Solve this system for x: 4.0x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
sinusoid
0.5
16
0
53
4.1
Solve this system for x: 4.1x + 2y = 8 1x + 3y = 9 FINAL:
0.582524
0.582524
linear_system
1
sinusoid
0.5
16
0
54
4
Solve this system for x: 4.000000000000001x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
sinusoid
0.5
16
0
55
3.9
Solve this system for x: 3.9x + 2y = 8 1x + 3y = 9 FINAL:
0.618557
0.618557
linear_system
1
sinusoid
0.5
16
0
56
4
Solve this system for x: 3.9999999999999996x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
sinusoid
0.5
16
0
57
4.1
Solve this system for x: 4.1x + 2y = 8 1x + 3y = 9 FINAL:
0.582524
0.582524
linear_system
1
sinusoid
0.5
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
0.5
16
0
59
3.9
Solve this system for x: 3.9x + 2y = 8 1x + 3y = 9 FINAL:
0.618557
0.618557
linear_system
1
sinusoid
0.5
16
0
60
4
Solve this system for x: 3.999999999999999x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
sinusoid
0.5
16
0
61
4.1
Solve this system for x: 4.1x + 2y = 8 1x + 3y = 9 FINAL:
0.582524
0.582524
linear_system
1
sinusoid
0.5
16
0
62
4
Solve this system for x: 4.000000000000001x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
sinusoid
0.5
16
0
63
3.9
Solve this system for x: 3.9x + 2y = 8 1x + 3y = 9 FINAL:
0.618557
0.618557
linear_system
1
sinusoid
0.5
1
120
0
4.086603
Solve this system for x: 4.086602540378444x + 2y = 8 1x + 3y = 9 FINAL:
0.584806
0.584806
linear_system
1
sinusoid
0.5
1
120
1
4.081285
Solve this system for x: 4.081284668459162x + 2y = 8 1x + 3y = 9 FINAL:
0.585717
0.585717
linear_system
1
sinusoid
0.5
1
120
2
4.075184
Solve this system for x: 4.075183980747898x + 2y = 8 1x + 3y = 9 FINAL:
0.586765
0.586765
linear_system
1
sinusoid
0.5
1
120
3
4.068359
Solve this system for x: 4.0683592302022875x + 2y = 8 1x + 3y = 9 FINAL:
0.587943
0.587943
linear_system
1
sinusoid
0.5
1
120
4
4.060876
Solve this system for x: 4.060876142900872x + 2y = 8 1x + 3y = 9 FINAL:
0.589239
0.589239
linear_system
1
sinusoid
0.5
1
120
5
4.052807
Solve this system for x: 4.052806785065036x + 2y = 8 1x + 3y = 9 FINAL:
0.590643
0.590643
linear_system
1
sinusoid
0.5
1
120
6
4.044229
Solve this system for x: 4.0442288690219x + 2y = 8 1x + 3y = 9 FINAL:
0.592143
0.592143
linear_system
1
sinusoid
0.5
1
120
7
4.035225
Solve this system for x: 4.035225004792124x + 2y = 8 1x + 3y = 9 FINAL:
0.593726
0.593726
linear_system
1
sinusoid
0.5
1
120
8
4.025882
Solve this system for x: 4.0258819045102525x + 2y = 8 1x + 3y = 9 FINAL:
0.595377
0.595377
linear_system
1
sinusoid
0.5
1
120
9
4.01629
Solve this system for x: 4.016289547339459x + 2y = 8 1x + 3y = 9 FINAL:
0.597082
0.597082
linear_system
1
sinusoid
0.5
1
120
10
4.00654
Solve this system for x: 4.006540312923014x + 2y = 8 1x + 3y = 9 FINAL:
0.598825
0.598825
linear_system
1
sinusoid
0.5
1
120
11
3.996728
Solve this system for x: 3.9967280917178223x + 2y = 8 1x + 3y = 9 FINAL:
0.60059
0.60059
linear_system
1
sinusoid
0.5
1
120
12
3.986947
Solve this system for x: 3.9869473807779947x + 2y = 8 1x + 3y = 9 FINAL:
0.602359
0.602359
linear_system
1
sinusoid
0.5
1
120
13
3.977292
Solve this system for x: 3.977292373696563x + 2y = 8 1x + 3y = 9 FINAL:
0.604115
0.604115
linear_system
1
sinusoid
0.5
1
120
14
3.967856
Solve this system for x: 3.967856053469684x + 2y = 8 1x + 3y = 9 FINAL:
0.605842
0.605842
linear_system
1
sinusoid
0.5
1
120
15
3.958729
Solve this system for x: 3.9587292970195604x + 2y = 8 1x + 3y = 9 FINAL:
0.607522
0.607522
linear_system
1
sinusoid
0.5
1
120
16
3.95
Solve this system for x: 3.95x + 2y = 8 1x + 3y = 9 FINAL:
0.609137
0.609137
linear_system
1
sinusoid
0.5
1
120
17
3.941752
Solve this system for x: 3.9417522303132198x + 2y = 8 1x + 3y = 9 FINAL:
0.610671
0.610671
linear_system
1
sinusoid
0.5
1
120
18
3.934065
Solve this system for x: 3.9340654184899932x + 2y = 8 1x + 3y = 9 FINAL:
0.612108
0.612108
linear_system
1
sinusoid
0.5
1
120
19
3.927014
Solve this system for x: 3.9270135927302166x + 2y = 8 1x + 3y = 9 FINAL:
0.613432
0.613432