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
2
sinusoid
0.5
4
240
12
4.05
Solve this system for x: 4.05x + 1y = 10 2x + 4y = 12 FINAL:
1.971831
1.971831
linear_system
2
sinusoid
0.5
4
240
13
4.013053
Solve this system for x: 4.013052619222005x + 1y = 10 2x + 4y = 12 FINAL:
1.992569
1.992569
linear_system
2
sinusoid
0.5
4
240
14
3.974118
Solve this system for x: 3.974118095489748x + 1y = 10 2x + 4y = 12 FINAL:
2.0149
2.0149
linear_system
2
sinusoid
0.5
4
240
15
3.939124
Solve this system for x: 3.939123857099128x + 1y = 10 2x + 4y = 12 FINAL:
2.035402
2.035402
linear_system
2
sinusoid
0.5
4
240
16
3.913397
Solve this system for x: 3.913397459621556x + 1y = 10 2x + 4y = 12 FINAL:
2.050743
2.050743
linear_system
2
sinusoid
0.5
4
240
17
3.900856
Solve this system for x: 3.900855513862619x + 1y = 10 2x + 4y = 12 FINAL:
2.058306
2.058306
linear_system
2
sinusoid
0.5
4
240
18
3.903407
Solve this system for x: 3.9034074173710933x + 1y = 10 2x + 4y = 12 FINAL:
2.056762
2.056762
linear_system
2
sinusoid
0.5
4
240
19
3.920665
Solve this system for x: 3.920664665970876x + 1y = 10 2x + 4y = 12 FINAL:
2.046386
2.046386
linear_system
2
sinusoid
0.5
4
240
20
3.95
Solve this system for x: 3.95x + 1y = 10 2x + 4y = 12 FINAL:
2.028986
2.028986
linear_system
2
sinusoid
0.5
4
240
21
3.986947
Solve this system for x: 3.9869473807779947x + 1y = 10 2x + 4y = 12 FINAL:
2.007487
2.007487
linear_system
2
sinusoid
0.5
4
240
22
4.025882
Solve this system for x: 4.025881904510252x + 1y = 10 2x + 4y = 12 FINAL:
1.985319
1.985319
linear_system
2
sinusoid
0.5
4
240
23
4.060876
Solve this system for x: 4.060876142900872x + 1y = 10 2x + 4y = 12 FINAL:
1.965808
1.965808
linear_system
2
sinusoid
0.5
4
240
24
4.086603
Solve this system for x: 4.086602540378443x + 1y = 10 2x + 4y = 12 FINAL:
1.951708
1.951708
linear_system
2
sinusoid
0.5
4
240
25
4.099144
Solve this system for x: 4.099144486137381x + 1y = 10 2x + 4y = 12 FINAL:
1.944907
1.944907
linear_system
2
sinusoid
0.5
4
240
26
4.096593
Solve this system for x: 4.096592582628907x + 1y = 10 2x + 4y = 12 FINAL:
1.946287
1.946287
linear_system
2
sinusoid
0.5
4
240
27
4.079335
Solve this system for x: 4.079335334029124x + 1y = 10 2x + 4y = 12 FINAL:
1.95567
1.95567
linear_system
2
sinusoid
0.5
4
240
28
4.05
Solve this system for x: 4.05x + 1y = 10 2x + 4y = 12 FINAL:
1.971831
1.971831
linear_system
2
sinusoid
0.5
4
240
29
4.013053
Solve this system for x: 4.013052619222005x + 1y = 10 2x + 4y = 12 FINAL:
1.992569
1.992569
linear_system
2
sinusoid
0.5
4
240
30
3.974118
Solve this system for x: 3.9741180954897484x + 1y = 10 2x + 4y = 12 FINAL:
2.0149
2.0149
linear_system
2
sinusoid
0.5
4
240
31
3.939124
Solve this system for x: 3.939123857099128x + 1y = 10 2x + 4y = 12 FINAL:
2.035402
2.035402
linear_system
2
sinusoid
0.5
4
240
32
3.913397
Solve this system for x: 3.913397459621556x + 1y = 10 2x + 4y = 12 FINAL:
2.050743
2.050743
linear_system
2
sinusoid
0.5
4
240
33
3.900856
Solve this system for x: 3.900855513862619x + 1y = 10 2x + 4y = 12 FINAL:
2.058306
2.058306
linear_system
2
sinusoid
0.5
4
240
34
3.903407
Solve this system for x: 3.9034074173710933x + 1y = 10 2x + 4y = 12 FINAL:
2.056762
2.056762
linear_system
2
sinusoid
0.5
4
240
35
3.920665
Solve this system for x: 3.920664665970876x + 1y = 10 2x + 4y = 12 FINAL:
2.046386
2.046386
linear_system
2
sinusoid
0.5
4
240
36
3.95
Solve this system for x: 3.95x + 1y = 10 2x + 4y = 12 FINAL:
2.028986
2.028986
linear_system
2
sinusoid
0.5
4
240
37
3.986947
Solve this system for x: 3.9869473807779947x + 1y = 10 2x + 4y = 12 FINAL:
2.007487
2.007487
linear_system
2
sinusoid
0.5
4
240
38
4.025882
Solve this system for x: 4.025881904510252x + 1y = 10 2x + 4y = 12 FINAL:
1.985319
1.985319
linear_system
2
sinusoid
0.5
4
240
39
4.060876
Solve this system for x: 4.060876142900872x + 1y = 10 2x + 4y = 12 FINAL:
1.965808
1.965808
linear_system
2
sinusoid
0.5
4
240
40
4.086603
Solve this system for x: 4.086602540378443x + 1y = 10 2x + 4y = 12 FINAL:
1.951708
1.951708
linear_system
2
sinusoid
0.5
4
240
41
4.099144
Solve this system for x: 4.099144486137381x + 1y = 10 2x + 4y = 12 FINAL:
1.944907
1.944907
linear_system
2
sinusoid
0.5
4
240
42
4.096593
Solve this system for x: 4.096592582628907x + 1y = 10 2x + 4y = 12 FINAL:
1.946287
1.946287
linear_system
2
sinusoid
0.5
4
240
43
4.079335
Solve this system for x: 4.079335334029124x + 1y = 10 2x + 4y = 12 FINAL:
1.95567
1.95567
linear_system
2
sinusoid
0.5
4
240
44
4.05
Solve this system for x: 4.050000000000001x + 1y = 10 2x + 4y = 12 FINAL:
1.971831
1.971831
linear_system
2
sinusoid
0.5
4
240
45
4.013053
Solve this system for x: 4.013052619222005x + 1y = 10 2x + 4y = 12 FINAL:
1.992569
1.992569
linear_system
2
sinusoid
0.5
4
240
46
3.974118
Solve this system for x: 3.9741180954897484x + 1y = 10 2x + 4y = 12 FINAL:
2.0149
2.0149
linear_system
2
sinusoid
0.5
4
240
47
3.939124
Solve this system for x: 3.939123857099128x + 1y = 10 2x + 4y = 12 FINAL:
2.035402
2.035402
linear_system
2
sinusoid
0.5
4
240
48
3.913397
Solve this system for x: 3.913397459621556x + 1y = 10 2x + 4y = 12 FINAL:
2.050743
2.050743
linear_system
2
sinusoid
0.5
4
240
49
3.900856
Solve this system for x: 3.900855513862619x + 1y = 10 2x + 4y = 12 FINAL:
2.058306
2.058306
linear_system
2
sinusoid
0.5
4
240
50
3.903407
Solve this system for x: 3.9034074173710933x + 1y = 10 2x + 4y = 12 FINAL:
2.056762
2.056762
linear_system
2
sinusoid
0.5
4
240
51
3.920665
Solve this system for x: 3.920664665970876x + 1y = 10 2x + 4y = 12 FINAL:
2.046386
2.046386
linear_system
2
sinusoid
0.5
4
240
52
3.95
Solve this system for x: 3.95x + 1y = 10 2x + 4y = 12 FINAL:
2.028986
2.028986
linear_system
2
sinusoid
0.5
4
240
53
3.986947
Solve this system for x: 3.9869473807779947x + 1y = 10 2x + 4y = 12 FINAL:
2.007487
2.007487
linear_system
2
sinusoid
0.5
4
240
54
4.025882
Solve this system for x: 4.025881904510252x + 1y = 10 2x + 4y = 12 FINAL:
1.985319
1.985319
linear_system
2
sinusoid
0.5
4
240
55
4.060876
Solve this system for x: 4.060876142900872x + 1y = 10 2x + 4y = 12 FINAL:
1.965808
1.965808
linear_system
2
sinusoid
0.5
4
240
56
4.086603
Solve this system for x: 4.086602540378443x + 1y = 10 2x + 4y = 12 FINAL:
1.951708
1.951708
linear_system
2
sinusoid
0.5
4
240
57
4.099144
Solve this system for x: 4.099144486137381x + 1y = 10 2x + 4y = 12 FINAL:
1.944907
1.944907
linear_system
2
sinusoid
0.5
4
240
58
4.096593
Solve this system for x: 4.096592582628907x + 1y = 10 2x + 4y = 12 FINAL:
1.946287
1.946287
linear_system
2
sinusoid
0.5
4
240
59
4.079335
Solve this system for x: 4.079335334029124x + 1y = 10 2x + 4y = 12 FINAL:
1.95567
1.95567
linear_system
2
sinusoid
0.5
4
240
60
4.05
Solve this system for x: 4.050000000000001x + 1y = 10 2x + 4y = 12 FINAL:
1.971831
1.971831
linear_system
2
sinusoid
0.5
4
240
61
4.013053
Solve this system for x: 4.013052619222005x + 1y = 10 2x + 4y = 12 FINAL:
1.992569
1.992569
linear_system
2
sinusoid
0.5
4
240
62
3.974118
Solve this system for x: 3.9741180954897484x + 1y = 10 2x + 4y = 12 FINAL:
2.0149
2.0149
linear_system
2
sinusoid
0.5
4
240
63
3.939124
Solve this system for x: 3.939123857099128x + 1y = 10 2x + 4y = 12 FINAL:
2.035402
2.035402
linear_system
2
sinusoid
0.5
8
240
0
3.913397
Solve this system for x: 3.913397459621556x + 1y = 10 2x + 4y = 12 FINAL:
2.050743
2.050743
linear_system
2
sinusoid
0.5
8
240
1
3.903407
Solve this system for x: 3.9034074173710933x + 1y = 10 2x + 4y = 12 FINAL:
2.056762
2.056762
linear_system
2
sinusoid
0.5
8
240
2
3.95
Solve this system for x: 3.95x + 1y = 10 2x + 4y = 12 FINAL:
2.028986
2.028986
linear_system
2
sinusoid
0.5
8
240
3
4.025882
Solve this system for x: 4.025881904510252x + 1y = 10 2x + 4y = 12 FINAL:
1.985319
1.985319
linear_system
2
sinusoid
0.5
8
240
4
4.086603
Solve this system for x: 4.086602540378443x + 1y = 10 2x + 4y = 12 FINAL:
1.951708
1.951708
linear_system
2
sinusoid
0.5
8
240
5
4.096593
Solve this system for x: 4.096592582628907x + 1y = 10 2x + 4y = 12 FINAL:
1.946287
1.946287
linear_system
2
sinusoid
0.5
8
240
6
4.05
Solve this system for x: 4.05x + 1y = 10 2x + 4y = 12 FINAL:
1.971831
1.971831
linear_system
2
sinusoid
0.5
8
240
7
3.974118
Solve this system for x: 3.974118095489748x + 1y = 10 2x + 4y = 12 FINAL:
2.0149
2.0149
linear_system
2
sinusoid
0.5
8
240
8
3.913397
Solve this system for x: 3.913397459621556x + 1y = 10 2x + 4y = 12 FINAL:
2.050743
2.050743
linear_system
2
sinusoid
0.5
8
240
9
3.903407
Solve this system for x: 3.9034074173710933x + 1y = 10 2x + 4y = 12 FINAL:
2.056762
2.056762
linear_system
2
sinusoid
0.5
8
240
10
3.95
Solve this system for x: 3.95x + 1y = 10 2x + 4y = 12 FINAL:
2.028986
2.028986
linear_system
2
sinusoid
0.5
8
240
11
4.025882
Solve this system for x: 4.025881904510252x + 1y = 10 2x + 4y = 12 FINAL:
1.985319
1.985319
linear_system
2
sinusoid
0.5
8
240
12
4.086603
Solve this system for x: 4.086602540378443x + 1y = 10 2x + 4y = 12 FINAL:
1.951708
1.951708
linear_system
2
sinusoid
0.5
8
240
13
4.096593
Solve this system for x: 4.096592582628907x + 1y = 10 2x + 4y = 12 FINAL:
1.946287
1.946287
linear_system
2
sinusoid
0.5
8
240
14
4.05
Solve this system for x: 4.05x + 1y = 10 2x + 4y = 12 FINAL:
1.971831
1.971831
linear_system
2
sinusoid
0.5
8
240
15
3.974118
Solve this system for x: 3.9741180954897484x + 1y = 10 2x + 4y = 12 FINAL:
2.0149
2.0149
linear_system
2
sinusoid
0.5
8
240
16
3.913397
Solve this system for x: 3.913397459621556x + 1y = 10 2x + 4y = 12 FINAL:
2.050743
2.050743
linear_system
2
sinusoid
0.5
8
240
17
3.903407
Solve this system for x: 3.9034074173710933x + 1y = 10 2x + 4y = 12 FINAL:
2.056762
2.056762
linear_system
2
sinusoid
0.5
8
240
18
3.95
Solve this system for x: 3.95x + 1y = 10 2x + 4y = 12 FINAL:
2.028986
2.028986
linear_system
2
sinusoid
0.5
8
240
19
4.025882
Solve this system for x: 4.025881904510252x + 1y = 10 2x + 4y = 12 FINAL:
1.985319
1.985319
linear_system
2
sinusoid
0.5
8
240
20
4.086603
Solve this system for x: 4.086602540378443x + 1y = 10 2x + 4y = 12 FINAL:
1.951708
1.951708
linear_system
2
sinusoid
0.5
8
240
21
4.096593
Solve this system for x: 4.096592582628907x + 1y = 10 2x + 4y = 12 FINAL:
1.946287
1.946287
linear_system
2
sinusoid
0.5
8
240
22
4.05
Solve this system for x: 4.050000000000001x + 1y = 10 2x + 4y = 12 FINAL:
1.971831
1.971831
linear_system
2
sinusoid
0.5
8
240
23
3.974118
Solve this system for x: 3.9741180954897484x + 1y = 10 2x + 4y = 12 FINAL:
2.0149
2.0149
linear_system
2
sinusoid
0.5
8
240
24
3.913397
Solve this system for x: 3.913397459621556x + 1y = 10 2x + 4y = 12 FINAL:
2.050743
2.050743
linear_system
2
sinusoid
0.5
8
240
25
3.903407
Solve this system for x: 3.9034074173710933x + 1y = 10 2x + 4y = 12 FINAL:
2.056762
2.056762
linear_system
2
sinusoid
0.5
8
240
26
3.95
Solve this system for x: 3.95x + 1y = 10 2x + 4y = 12 FINAL:
2.028986
2.028986
linear_system
2
sinusoid
0.5
8
240
27
4.025882
Solve this system for x: 4.025881904510252x + 1y = 10 2x + 4y = 12 FINAL:
1.985319
1.985319
linear_system
2
sinusoid
0.5
8
240
28
4.086603
Solve this system for x: 4.086602540378443x + 1y = 10 2x + 4y = 12 FINAL:
1.951708
1.951708
linear_system
2
sinusoid
0.5
8
240
29
4.096593
Solve this system for x: 4.096592582628907x + 1y = 10 2x + 4y = 12 FINAL:
1.946287
1.946287
linear_system
2
sinusoid
0.5
8
240
30
4.05
Solve this system for x: 4.050000000000001x + 1y = 10 2x + 4y = 12 FINAL:
1.971831
1.971831
linear_system
2
sinusoid
0.5
8
240
31
3.974118
Solve this system for x: 3.9741180954897484x + 1y = 10 2x + 4y = 12 FINAL:
2.0149
2.0149
linear_system
2
sinusoid
0.5
8
240
32
3.913397
Solve this system for x: 3.913397459621556x + 1y = 10 2x + 4y = 12 FINAL:
2.050743
2.050743
linear_system
2
sinusoid
0.5
8
240
33
3.903407
Solve this system for x: 3.9034074173710933x + 1y = 10 2x + 4y = 12 FINAL:
2.056762
2.056762
linear_system
2
sinusoid
0.5
8
240
34
3.95
Solve this system for x: 3.9499999999999997x + 1y = 10 2x + 4y = 12 FINAL:
2.028986
2.028986
linear_system
2
sinusoid
0.5
8
240
35
4.025882
Solve this system for x: 4.025881904510252x + 1y = 10 2x + 4y = 12 FINAL:
1.985319
1.985319
linear_system
2
sinusoid
0.5
8
240
36
4.086603
Solve this system for x: 4.086602540378443x + 1y = 10 2x + 4y = 12 FINAL:
1.951708
1.951708
linear_system
2
sinusoid
0.5
8
240
37
4.096593
Solve this system for x: 4.096592582628907x + 1y = 10 2x + 4y = 12 FINAL:
1.946287
1.946287
linear_system
2
sinusoid
0.5
8
240
38
4.05
Solve this system for x: 4.05x + 1y = 10 2x + 4y = 12 FINAL:
1.971831
1.971831
linear_system
2
sinusoid
0.5
8
240
39
3.974118
Solve this system for x: 3.9741180954897484x + 1y = 10 2x + 4y = 12 FINAL:
2.0149
2.0149
linear_system
2
sinusoid
0.5
8
240
40
3.913397
Solve this system for x: 3.913397459621556x + 1y = 10 2x + 4y = 12 FINAL:
2.050743
2.050743
linear_system
2
sinusoid
0.5
8
240
41
3.903407
Solve this system for x: 3.9034074173710933x + 1y = 10 2x + 4y = 12 FINAL:
2.056762
2.056762
linear_system
2
sinusoid
0.5
8
240
42
3.95
Solve this system for x: 3.95x + 1y = 10 2x + 4y = 12 FINAL:
2.028986
2.028986
linear_system
2
sinusoid
0.5
8
240
43
4.025882
Solve this system for x: 4.025881904510252x + 1y = 10 2x + 4y = 12 FINAL:
1.985319
1.985319
linear_system
2
sinusoid
0.5
8
240
44
4.086603
Solve this system for x: 4.086602540378443x + 1y = 10 2x + 4y = 12 FINAL:
1.951708
1.951708
linear_system
2
sinusoid
0.5
8
240
45
4.096593
Solve this system for x: 4.096592582628907x + 1y = 10 2x + 4y = 12 FINAL:
1.946287
1.946287
linear_system
2
sinusoid
0.5
8
240
46
4.05
Solve this system for x: 4.05x + 1y = 10 2x + 4y = 12 FINAL:
1.971831
1.971831
linear_system
2
sinusoid
0.5
8
240
47
3.974118
Solve this system for x: 3.9741180954897475x + 1y = 10 2x + 4y = 12 FINAL:
2.0149
2.0149