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
240
8
3.913397
Solve this system for x: 3.913397459621556x + 2y = 8 1x + 3y = 9 FINAL:
0.616004
0.616004
linear_system
1
sinusoid
0.5
8
240
9
3.903407
Solve this system for x: 3.9034074173710933x + 2y = 8 1x + 3y = 9 FINAL:
0.617906
0.617906
linear_system
1
sinusoid
0.5
8
240
10
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
8
240
11
4.025882
Solve this system for x: 4.025881904510252x + 2y = 8 1x + 3y = 9 FINAL:
0.595377
0.595377
linear_system
1
sinusoid
0.5
8
240
12
4.086603
Solve this system for x: 4.086602540378443x + 2y = 8 1x + 3y = 9 FINAL:
0.584806
0.584806
linear_system
1
sinusoid
0.5
8
240
13
4.096593
Solve this system for x: 4.096592582628907x + 2y = 8 1x + 3y = 9 FINAL:
0.583103
0.583103
linear_system
1
sinusoid
0.5
8
240
14
4.05
Solve this system for x: 4.05x + 2y = 8 1x + 3y = 9 FINAL:
0.591133
0.591133
linear_system
1
sinusoid
0.5
8
240
15
3.974118
Solve this system for x: 3.9741180954897484x + 2y = 8 1x + 3y = 9 FINAL:
0.604695
0.604695
linear_system
1
sinusoid
0.5
8
240
16
3.913397
Solve this system for x: 3.913397459621556x + 2y = 8 1x + 3y = 9 FINAL:
0.616004
0.616004
linear_system
1
sinusoid
0.5
8
240
17
3.903407
Solve this system for x: 3.9034074173710933x + 2y = 8 1x + 3y = 9 FINAL:
0.617906
0.617906
linear_system
1
sinusoid
0.5
8
240
18
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
8
240
19
4.025882
Solve this system for x: 4.025881904510252x + 2y = 8 1x + 3y = 9 FINAL:
0.595377
0.595377
linear_system
1
sinusoid
0.5
8
240
20
4.086603
Solve this system for x: 4.086602540378443x + 2y = 8 1x + 3y = 9 FINAL:
0.584806
0.584806
linear_system
1
sinusoid
0.5
8
240
21
4.096593
Solve this system for x: 4.096592582628907x + 2y = 8 1x + 3y = 9 FINAL:
0.583103
0.583103
linear_system
1
sinusoid
0.5
8
240
22
4.05
Solve this system for x: 4.050000000000001x + 2y = 8 1x + 3y = 9 FINAL:
0.591133
0.591133
linear_system
1
sinusoid
0.5
8
240
23
3.974118
Solve this system for x: 3.9741180954897484x + 2y = 8 1x + 3y = 9 FINAL:
0.604695
0.604695
linear_system
1
sinusoid
0.5
8
240
24
3.913397
Solve this system for x: 3.913397459621556x + 2y = 8 1x + 3y = 9 FINAL:
0.616004
0.616004
linear_system
1
sinusoid
0.5
8
240
25
3.903407
Solve this system for x: 3.9034074173710933x + 2y = 8 1x + 3y = 9 FINAL:
0.617906
0.617906
linear_system
1
sinusoid
0.5
8
240
26
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
8
240
27
4.025882
Solve this system for x: 4.025881904510252x + 2y = 8 1x + 3y = 9 FINAL:
0.595377
0.595377
linear_system
1
sinusoid
0.5
8
240
28
4.086603
Solve this system for x: 4.086602540378443x + 2y = 8 1x + 3y = 9 FINAL:
0.584806
0.584806
linear_system
1
sinusoid
0.5
8
240
29
4.096593
Solve this system for x: 4.096592582628907x + 2y = 8 1x + 3y = 9 FINAL:
0.583103
0.583103
linear_system
1
sinusoid
0.5
8
240
30
4.05
Solve this system for x: 4.050000000000001x + 2y = 8 1x + 3y = 9 FINAL:
0.591133
0.591133
linear_system
1
sinusoid
0.5
8
240
31
3.974118
Solve this system for x: 3.9741180954897484x + 2y = 8 1x + 3y = 9 FINAL:
0.604695
0.604695
linear_system
1
sinusoid
0.5
8
240
32
3.913397
Solve this system for x: 3.913397459621556x + 2y = 8 1x + 3y = 9 FINAL:
0.616004
0.616004
linear_system
1
sinusoid
0.5
8
240
33
3.903407
Solve this system for x: 3.9034074173710933x + 2y = 8 1x + 3y = 9 FINAL:
0.617906
0.617906
linear_system
1
sinusoid
0.5
8
240
34
3.95
Solve this system for x: 3.9499999999999997x + 2y = 8 1x + 3y = 9 FINAL:
0.609137
0.609137
linear_system
1
sinusoid
0.5
8
240
35
4.025882
Solve this system for x: 4.025881904510252x + 2y = 8 1x + 3y = 9 FINAL:
0.595377
0.595377
linear_system
1
sinusoid
0.5
8
240
36
4.086603
Solve this system for x: 4.086602540378443x + 2y = 8 1x + 3y = 9 FINAL:
0.584806
0.584806
linear_system
1
sinusoid
0.5
8
240
37
4.096593
Solve this system for x: 4.096592582628907x + 2y = 8 1x + 3y = 9 FINAL:
0.583103
0.583103
linear_system
1
sinusoid
0.5
8
240
38
4.05
Solve this system for x: 4.05x + 2y = 8 1x + 3y = 9 FINAL:
0.591133
0.591133
linear_system
1
sinusoid
0.5
8
240
39
3.974118
Solve this system for x: 3.9741180954897484x + 2y = 8 1x + 3y = 9 FINAL:
0.604695
0.604695
linear_system
1
sinusoid
0.5
8
240
40
3.913397
Solve this system for x: 3.913397459621556x + 2y = 8 1x + 3y = 9 FINAL:
0.616004
0.616004
linear_system
1
sinusoid
0.5
8
240
41
3.903407
Solve this system for x: 3.9034074173710933x + 2y = 8 1x + 3y = 9 FINAL:
0.617906
0.617906
linear_system
1
sinusoid
0.5
8
240
42
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
8
240
43
4.025882
Solve this system for x: 4.025881904510252x + 2y = 8 1x + 3y = 9 FINAL:
0.595377
0.595377
linear_system
1
sinusoid
0.5
8
240
44
4.086603
Solve this system for x: 4.086602540378443x + 2y = 8 1x + 3y = 9 FINAL:
0.584806
0.584806
linear_system
1
sinusoid
0.5
8
240
45
4.096593
Solve this system for x: 4.096592582628907x + 2y = 8 1x + 3y = 9 FINAL:
0.583103
0.583103
linear_system
1
sinusoid
0.5
8
240
46
4.05
Solve this system for x: 4.05x + 2y = 8 1x + 3y = 9 FINAL:
0.591133
0.591133
linear_system
1
sinusoid
0.5
8
240
47
3.974118
Solve this system for x: 3.9741180954897475x + 2y = 8 1x + 3y = 9 FINAL:
0.604695
0.604695
linear_system
1
sinusoid
0.5
8
240
48
3.913397
Solve this system for x: 3.913397459621556x + 2y = 8 1x + 3y = 9 FINAL:
0.616004
0.616004
linear_system
1
sinusoid
0.5
8
240
49
3.903407
Solve this system for x: 3.9034074173710933x + 2y = 8 1x + 3y = 9 FINAL:
0.617906
0.617906
linear_system
1
sinusoid
0.5
8
240
50
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
8
240
51
4.025882
Solve this system for x: 4.025881904510252x + 2y = 8 1x + 3y = 9 FINAL:
0.595377
0.595377
linear_system
1
sinusoid
0.5
8
240
52
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
8
240
53
4.096593
Solve this system for x: 4.096592582628907x + 2y = 8 1x + 3y = 9 FINAL:
0.583103
0.583103
linear_system
1
sinusoid
0.5
8
240
54
4.05
Solve this system for x: 4.05x + 2y = 8 1x + 3y = 9 FINAL:
0.591133
0.591133
linear_system
1
sinusoid
0.5
8
240
55
3.974118
Solve this system for x: 3.9741180954897475x + 2y = 8 1x + 3y = 9 FINAL:
0.604695
0.604695
linear_system
1
sinusoid
0.5
8
240
56
3.913397
Solve this system for x: 3.913397459621556x + 2y = 8 1x + 3y = 9 FINAL:
0.616004
0.616004
linear_system
1
sinusoid
0.5
8
240
57
3.903407
Solve this system for x: 3.9034074173710933x + 2y = 8 1x + 3y = 9 FINAL:
0.617906
0.617906
linear_system
1
sinusoid
0.5
8
240
58
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
8
240
59
4.025882
Solve this system for x: 4.025881904510252x + 2y = 8 1x + 3y = 9 FINAL:
0.595377
0.595377
linear_system
1
sinusoid
0.5
8
240
60
4.086603
Solve this system for x: 4.086602540378443x + 2y = 8 1x + 3y = 9 FINAL:
0.584806
0.584806
linear_system
1
sinusoid
0.5
8
240
61
4.096593
Solve this system for x: 4.096592582628907x + 2y = 8 1x + 3y = 9 FINAL:
0.583103
0.583103
linear_system
1
sinusoid
0.5
8
240
62
4.05
Solve this system for x: 4.05x + 2y = 8 1x + 3y = 9 FINAL:
0.591133
0.591133
linear_system
1
sinusoid
0.5
8
240
63
3.974118
Solve this system for x: 3.9741180954897475x + 2y = 8 1x + 3y = 9 FINAL:
0.604695
0.604695
linear_system
1
sinusoid
0.5
16
240
0
3.913397
Solve this system for x: 3.913397459621556x + 2y = 8 1x + 3y = 9 FINAL:
0.616004
0.616004
linear_system
1
sinusoid
0.5
16
240
1
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
16
240
2
4.086603
Solve this system for x: 4.086602540378443x + 2y = 8 1x + 3y = 9 FINAL:
0.584806
0.584806
linear_system
1
sinusoid
0.5
16
240
3
4.05
Solve this system for x: 4.05x + 2y = 8 1x + 3y = 9 FINAL:
0.591133
0.591133
linear_system
1
sinusoid
0.5
16
240
4
3.913397
Solve this system for x: 3.913397459621556x + 2y = 8 1x + 3y = 9 FINAL:
0.616004
0.616004
linear_system
1
sinusoid
0.5
16
240
5
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
16
240
6
4.086603
Solve this system for x: 4.086602540378443x + 2y = 8 1x + 3y = 9 FINAL:
0.584806
0.584806
linear_system
1
sinusoid
0.5
16
240
7
4.05
Solve this system for x: 4.05x + 2y = 8 1x + 3y = 9 FINAL:
0.591133
0.591133
linear_system
1
sinusoid
0.5
16
240
8
3.913397
Solve this system for x: 3.913397459621556x + 2y = 8 1x + 3y = 9 FINAL:
0.616004
0.616004
linear_system
1
sinusoid
0.5
16
240
9
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
16
240
10
4.086603
Solve this system for x: 4.086602540378443x + 2y = 8 1x + 3y = 9 FINAL:
0.584806
0.584806
linear_system
1
sinusoid
0.5
16
240
11
4.05
Solve this system for x: 4.050000000000001x + 2y = 8 1x + 3y = 9 FINAL:
0.591133
0.591133
linear_system
1
sinusoid
0.5
16
240
12
3.913397
Solve this system for x: 3.913397459621556x + 2y = 8 1x + 3y = 9 FINAL:
0.616004
0.616004
linear_system
1
sinusoid
0.5
16
240
13
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
16
240
14
4.086603
Solve this system for x: 4.086602540378443x + 2y = 8 1x + 3y = 9 FINAL:
0.584806
0.584806
linear_system
1
sinusoid
0.5
16
240
15
4.05
Solve this system for x: 4.050000000000001x + 2y = 8 1x + 3y = 9 FINAL:
0.591133
0.591133
linear_system
1
sinusoid
0.5
16
240
16
3.913397
Solve this system for x: 3.913397459621556x + 2y = 8 1x + 3y = 9 FINAL:
0.616004
0.616004
linear_system
1
sinusoid
0.5
16
240
17
3.95
Solve this system for x: 3.9499999999999997x + 2y = 8 1x + 3y = 9 FINAL:
0.609137
0.609137
linear_system
1
sinusoid
0.5
16
240
18
4.086603
Solve this system for x: 4.086602540378443x + 2y = 8 1x + 3y = 9 FINAL:
0.584806
0.584806
linear_system
1
sinusoid
0.5
16
240
19
4.05
Solve this system for x: 4.05x + 2y = 8 1x + 3y = 9 FINAL:
0.591133
0.591133
linear_system
1
sinusoid
0.5
16
240
20
3.913397
Solve this system for x: 3.913397459621556x + 2y = 8 1x + 3y = 9 FINAL:
0.616004
0.616004
linear_system
1
sinusoid
0.5
16
240
21
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
16
240
22
4.086603
Solve this system for x: 4.086602540378443x + 2y = 8 1x + 3y = 9 FINAL:
0.584806
0.584806
linear_system
1
sinusoid
0.5
16
240
23
4.05
Solve this system for x: 4.05x + 2y = 8 1x + 3y = 9 FINAL:
0.591133
0.591133
linear_system
1
sinusoid
0.5
16
240
24
3.913397
Solve this system for x: 3.913397459621556x + 2y = 8 1x + 3y = 9 FINAL:
0.616004
0.616004
linear_system
1
sinusoid
0.5
16
240
25
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
16
240
26
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
16
240
27
4.05
Solve this system for x: 4.05x + 2y = 8 1x + 3y = 9 FINAL:
0.591133
0.591133
linear_system
1
sinusoid
0.5
16
240
28
3.913397
Solve this system for x: 3.913397459621556x + 2y = 8 1x + 3y = 9 FINAL:
0.616004
0.616004
linear_system
1
sinusoid
0.5
16
240
29
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
16
240
30
4.086603
Solve this system for x: 4.086602540378443x + 2y = 8 1x + 3y = 9 FINAL:
0.584806
0.584806
linear_system
1
sinusoid
0.5
16
240
31
4.05
Solve this system for x: 4.05x + 2y = 8 1x + 3y = 9 FINAL:
0.591133
0.591133
linear_system
1
sinusoid
0.5
16
240
32
3.913397
Solve this system for x: 3.913397459621556x + 2y = 8 1x + 3y = 9 FINAL:
0.616004
0.616004
linear_system
1
sinusoid
0.5
16
240
33
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
16
240
34
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
16
240
35
4.05
Solve this system for x: 4.05x + 2y = 8 1x + 3y = 9 FINAL:
0.591133
0.591133
linear_system
1
sinusoid
0.5
16
240
36
3.913397
Solve this system for x: 3.913397459621556x + 2y = 8 1x + 3y = 9 FINAL:
0.616004
0.616004
linear_system
1
sinusoid
0.5
16
240
37
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
16
240
38
4.086603
Solve this system for x: 4.086602540378443x + 2y = 8 1x + 3y = 9 FINAL:
0.584806
0.584806
linear_system
1
sinusoid
0.5
16
240
39
4.05
Solve this system for x: 4.05x + 2y = 8 1x + 3y = 9 FINAL:
0.591133
0.591133
linear_system
1
sinusoid
0.5
16
240
40
3.913397
Solve this system for x: 3.9133974596215566x + 2y = 8 1x + 3y = 9 FINAL:
0.616004
0.616004
linear_system
1
sinusoid
0.5
16
240
41
3.95
Solve this system for x: 3.949999999999999x + 2y = 8 1x + 3y = 9 FINAL:
0.609137
0.609137
linear_system
1
sinusoid
0.5
16
240
42
4.086603
Solve this system for x: 4.086602540378443x + 2y = 8 1x + 3y = 9 FINAL:
0.584806
0.584806
linear_system
1
sinusoid
0.5
16
240
43
4.05
Solve this system for x: 4.050000000000001x + 2y = 8 1x + 3y = 9 FINAL:
0.591133
0.591133