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
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prompt
stringlengths
59
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ground_truth
float64
0.52
2.33
symbolic_baseline_answer
float64
0.52
2.33
linear_system
2
sinusoid
1
4
240
32
3.826795
Solve this system for x: 3.8267949192431123x + 1y = 10 2x + 4y = 12 FINAL:
2.104127
2.104127
linear_system
2
sinusoid
1
4
240
33
3.801711
Solve this system for x: 3.8017110277252377x + 1y = 10 2x + 4y = 12 FINAL:
2.120113
2.120113
linear_system
2
sinusoid
1
4
240
34
3.806815
Solve this system for x: 3.806814834742186x + 1y = 10 2x + 4y = 12 FINAL:
2.116841
2.116841
linear_system
2
sinusoid
1
4
240
35
3.841329
Solve this system for x: 3.8413293319417527x + 1y = 10 2x + 4y = 12 FINAL:
2.094975
2.094975
linear_system
2
sinusoid
1
4
240
36
3.9
Solve this system for x: 3.9x + 1y = 10 2x + 4y = 12 FINAL:
2.058824
2.058824
linear_system
2
sinusoid
1
4
240
37
3.973895
Solve this system for x: 3.9738947615559894x + 1y = 10 2x + 4y = 12 FINAL:
2.015029
2.015029
linear_system
2
sinusoid
1
4
240
38
4.051764
Solve this system for x: 4.051763809020503x + 1y = 10 2x + 4y = 12 FINAL:
1.970852
1.970852
linear_system
2
sinusoid
1
4
240
39
4.121752
Solve this system for x: 4.121752285801744x + 1y = 10 2x + 4y = 12 FINAL:
1.932766
1.932766
linear_system
2
sinusoid
1
4
240
40
4.173205
Solve this system for x: 4.173205080756888x + 1y = 10 2x + 4y = 12 FINAL:
1.905693
1.905693
linear_system
2
sinusoid
1
4
240
41
4.198289
Solve this system for x: 4.198288972274762x + 1y = 10 2x + 4y = 12 FINAL:
1.892767
1.892767
linear_system
2
sinusoid
1
4
240
42
4.193185
Solve this system for x: 4.193185165257813x + 1y = 10 2x + 4y = 12 FINAL:
1.895383
1.895383
linear_system
2
sinusoid
1
4
240
43
4.158671
Solve this system for x: 4.158670668058248x + 1y = 10 2x + 4y = 12 FINAL:
1.913263
1.913263
linear_system
2
sinusoid
1
4
240
44
4.1
Solve this system for x: 4.1000000000000005x + 1y = 10 2x + 4y = 12 FINAL:
1.944444
1.944444
linear_system
2
sinusoid
1
4
240
45
4.026105
Solve this system for x: 4.026105238444011x + 1y = 10 2x + 4y = 12 FINAL:
1.985193
1.985193
linear_system
2
sinusoid
1
4
240
46
3.948236
Solve this system for x: 3.9482361909794963x + 1y = 10 2x + 4y = 12 FINAL:
2.030023
2.030023
linear_system
2
sinusoid
1
4
240
47
3.878248
Solve this system for x: 3.878247714198256x + 1y = 10 2x + 4y = 12 FINAL:
2.07208
2.07208
linear_system
2
sinusoid
1
4
240
48
3.826795
Solve this system for x: 3.8267949192431123x + 1y = 10 2x + 4y = 12 FINAL:
2.104127
2.104127
linear_system
2
sinusoid
1
4
240
49
3.801711
Solve this system for x: 3.801711027725238x + 1y = 10 2x + 4y = 12 FINAL:
2.120113
2.120113
linear_system
2
sinusoid
1
4
240
50
3.806815
Solve this system for x: 3.806814834742186x + 1y = 10 2x + 4y = 12 FINAL:
2.116841
2.116841
linear_system
2
sinusoid
1
4
240
51
3.841329
Solve this system for x: 3.8413293319417527x + 1y = 10 2x + 4y = 12 FINAL:
2.094975
2.094975
linear_system
2
sinusoid
1
4
240
52
3.9
Solve this system for x: 3.9x + 1y = 10 2x + 4y = 12 FINAL:
2.058824
2.058824
linear_system
2
sinusoid
1
4
240
53
3.973895
Solve this system for x: 3.9738947615559894x + 1y = 10 2x + 4y = 12 FINAL:
2.015029
2.015029
linear_system
2
sinusoid
1
4
240
54
4.051764
Solve this system for x: 4.051763809020503x + 1y = 10 2x + 4y = 12 FINAL:
1.970852
1.970852
linear_system
2
sinusoid
1
4
240
55
4.121752
Solve this system for x: 4.121752285801744x + 1y = 10 2x + 4y = 12 FINAL:
1.932766
1.932766
linear_system
2
sinusoid
1
4
240
56
4.173205
Solve this system for x: 4.173205080756888x + 1y = 10 2x + 4y = 12 FINAL:
1.905693
1.905693
linear_system
2
sinusoid
1
4
240
57
4.198289
Solve this system for x: 4.198288972274762x + 1y = 10 2x + 4y = 12 FINAL:
1.892767
1.892767
linear_system
2
sinusoid
1
4
240
58
4.193185
Solve this system for x: 4.193185165257813x + 1y = 10 2x + 4y = 12 FINAL:
1.895383
1.895383
linear_system
2
sinusoid
1
4
240
59
4.158671
Solve this system for x: 4.158670668058248x + 1y = 10 2x + 4y = 12 FINAL:
1.913263
1.913263
linear_system
2
sinusoid
1
4
240
60
4.1
Solve this system for x: 4.1000000000000005x + 1y = 10 2x + 4y = 12 FINAL:
1.944444
1.944444
linear_system
2
sinusoid
1
4
240
61
4.026105
Solve this system for x: 4.026105238444011x + 1y = 10 2x + 4y = 12 FINAL:
1.985193
1.985193
linear_system
2
sinusoid
1
4
240
62
3.948236
Solve this system for x: 3.9482361909794963x + 1y = 10 2x + 4y = 12 FINAL:
2.030023
2.030023
linear_system
2
sinusoid
1
4
240
63
3.878248
Solve this system for x: 3.878247714198256x + 1y = 10 2x + 4y = 12 FINAL:
2.07208
2.07208
linear_system
2
sinusoid
1
8
240
0
3.826795
Solve this system for x: 3.8267949192431123x + 1y = 10 2x + 4y = 12 FINAL:
2.104127
2.104127
linear_system
2
sinusoid
1
8
240
1
3.806815
Solve this system for x: 3.806814834742186x + 1y = 10 2x + 4y = 12 FINAL:
2.116841
2.116841
linear_system
2
sinusoid
1
8
240
2
3.9
Solve this system for x: 3.9x + 1y = 10 2x + 4y = 12 FINAL:
2.058824
2.058824
linear_system
2
sinusoid
1
8
240
3
4.051764
Solve this system for x: 4.051763809020504x + 1y = 10 2x + 4y = 12 FINAL:
1.970852
1.970852
linear_system
2
sinusoid
1
8
240
4
4.173205
Solve this system for x: 4.173205080756888x + 1y = 10 2x + 4y = 12 FINAL:
1.905693
1.905693
linear_system
2
sinusoid
1
8
240
5
4.193185
Solve this system for x: 4.193185165257813x + 1y = 10 2x + 4y = 12 FINAL:
1.895383
1.895383
linear_system
2
sinusoid
1
8
240
6
4.1
Solve this system for x: 4.1x + 1y = 10 2x + 4y = 12 FINAL:
1.944444
1.944444
linear_system
2
sinusoid
1
8
240
7
3.948236
Solve this system for x: 3.948236190979496x + 1y = 10 2x + 4y = 12 FINAL:
2.030023
2.030023
linear_system
2
sinusoid
1
8
240
8
3.826795
Solve this system for x: 3.8267949192431123x + 1y = 10 2x + 4y = 12 FINAL:
2.104127
2.104127
linear_system
2
sinusoid
1
8
240
9
3.806815
Solve this system for x: 3.806814834742186x + 1y = 10 2x + 4y = 12 FINAL:
2.116841
2.116841
linear_system
2
sinusoid
1
8
240
10
3.9
Solve this system for x: 3.9x + 1y = 10 2x + 4y = 12 FINAL:
2.058824
2.058824
linear_system
2
sinusoid
1
8
240
11
4.051764
Solve this system for x: 4.051763809020503x + 1y = 10 2x + 4y = 12 FINAL:
1.970852
1.970852
linear_system
2
sinusoid
1
8
240
12
4.173205
Solve this system for x: 4.173205080756888x + 1y = 10 2x + 4y = 12 FINAL:
1.905693
1.905693
linear_system
2
sinusoid
1
8
240
13
4.193185
Solve this system for x: 4.193185165257813x + 1y = 10 2x + 4y = 12 FINAL:
1.895383
1.895383
linear_system
2
sinusoid
1
8
240
14
4.1
Solve this system for x: 4.1x + 1y = 10 2x + 4y = 12 FINAL:
1.944444
1.944444
linear_system
2
sinusoid
1
8
240
15
3.948236
Solve this system for x: 3.9482361909794963x + 1y = 10 2x + 4y = 12 FINAL:
2.030023
2.030023
linear_system
2
sinusoid
1
8
240
16
3.826795
Solve this system for x: 3.8267949192431123x + 1y = 10 2x + 4y = 12 FINAL:
2.104127
2.104127
linear_system
2
sinusoid
1
8
240
17
3.806815
Solve this system for x: 3.806814834742186x + 1y = 10 2x + 4y = 12 FINAL:
2.116841
2.116841
linear_system
2
sinusoid
1
8
240
18
3.9
Solve this system for x: 3.9x + 1y = 10 2x + 4y = 12 FINAL:
2.058824
2.058824
linear_system
2
sinusoid
1
8
240
19
4.051764
Solve this system for x: 4.051763809020503x + 1y = 10 2x + 4y = 12 FINAL:
1.970852
1.970852
linear_system
2
sinusoid
1
8
240
20
4.173205
Solve this system for x: 4.173205080756888x + 1y = 10 2x + 4y = 12 FINAL:
1.905693
1.905693
linear_system
2
sinusoid
1
8
240
21
4.193185
Solve this system for x: 4.193185165257813x + 1y = 10 2x + 4y = 12 FINAL:
1.895383
1.895383
linear_system
2
sinusoid
1
8
240
22
4.1
Solve this system for x: 4.1000000000000005x + 1y = 10 2x + 4y = 12 FINAL:
1.944444
1.944444
linear_system
2
sinusoid
1
8
240
23
3.948236
Solve this system for x: 3.9482361909794963x + 1y = 10 2x + 4y = 12 FINAL:
2.030023
2.030023
linear_system
2
sinusoid
1
8
240
24
3.826795
Solve this system for x: 3.8267949192431123x + 1y = 10 2x + 4y = 12 FINAL:
2.104127
2.104127
linear_system
2
sinusoid
1
8
240
25
3.806815
Solve this system for x: 3.806814834742186x + 1y = 10 2x + 4y = 12 FINAL:
2.116841
2.116841
linear_system
2
sinusoid
1
8
240
26
3.9
Solve this system for x: 3.9x + 1y = 10 2x + 4y = 12 FINAL:
2.058824
2.058824
linear_system
2
sinusoid
1
8
240
27
4.051764
Solve this system for x: 4.051763809020503x + 1y = 10 2x + 4y = 12 FINAL:
1.970852
1.970852
linear_system
2
sinusoid
1
8
240
28
4.173205
Solve this system for x: 4.173205080756888x + 1y = 10 2x + 4y = 12 FINAL:
1.905693
1.905693
linear_system
2
sinusoid
1
8
240
29
4.193185
Solve this system for x: 4.193185165257813x + 1y = 10 2x + 4y = 12 FINAL:
1.895383
1.895383
linear_system
2
sinusoid
1
8
240
30
4.1
Solve this system for x: 4.1000000000000005x + 1y = 10 2x + 4y = 12 FINAL:
1.944444
1.944444
linear_system
2
sinusoid
1
8
240
31
3.948236
Solve this system for x: 3.9482361909794963x + 1y = 10 2x + 4y = 12 FINAL:
2.030023
2.030023
linear_system
2
sinusoid
1
8
240
32
3.826795
Solve this system for x: 3.8267949192431123x + 1y = 10 2x + 4y = 12 FINAL:
2.104127
2.104127
linear_system
2
sinusoid
1
8
240
33
3.806815
Solve this system for x: 3.806814834742186x + 1y = 10 2x + 4y = 12 FINAL:
2.116841
2.116841
linear_system
2
sinusoid
1
8
240
34
3.9
Solve this system for x: 3.9x + 1y = 10 2x + 4y = 12 FINAL:
2.058824
2.058824
linear_system
2
sinusoid
1
8
240
35
4.051764
Solve this system for x: 4.051763809020503x + 1y = 10 2x + 4y = 12 FINAL:
1.970852
1.970852
linear_system
2
sinusoid
1
8
240
36
4.173205
Solve this system for x: 4.173205080756888x + 1y = 10 2x + 4y = 12 FINAL:
1.905693
1.905693
linear_system
2
sinusoid
1
8
240
37
4.193185
Solve this system for x: 4.193185165257813x + 1y = 10 2x + 4y = 12 FINAL:
1.895383
1.895383
linear_system
2
sinusoid
1
8
240
38
4.1
Solve this system for x: 4.1000000000000005x + 1y = 10 2x + 4y = 12 FINAL:
1.944444
1.944444
linear_system
2
sinusoid
1
8
240
39
3.948236
Solve this system for x: 3.9482361909794963x + 1y = 10 2x + 4y = 12 FINAL:
2.030023
2.030023
linear_system
2
sinusoid
1
8
240
40
3.826795
Solve this system for x: 3.8267949192431123x + 1y = 10 2x + 4y = 12 FINAL:
2.104127
2.104127
linear_system
2
sinusoid
1
8
240
41
3.806815
Solve this system for x: 3.806814834742186x + 1y = 10 2x + 4y = 12 FINAL:
2.116841
2.116841
linear_system
2
sinusoid
1
8
240
42
3.9
Solve this system for x: 3.9000000000000004x + 1y = 10 2x + 4y = 12 FINAL:
2.058824
2.058824
linear_system
2
sinusoid
1
8
240
43
4.051764
Solve this system for x: 4.051763809020504x + 1y = 10 2x + 4y = 12 FINAL:
1.970852
1.970852
linear_system
2
sinusoid
1
8
240
44
4.173205
Solve this system for x: 4.173205080756888x + 1y = 10 2x + 4y = 12 FINAL:
1.905693
1.905693
linear_system
2
sinusoid
1
8
240
45
4.193185
Solve this system for x: 4.193185165257813x + 1y = 10 2x + 4y = 12 FINAL:
1.895383
1.895383
linear_system
2
sinusoid
1
8
240
46
4.1
Solve this system for x: 4.1000000000000005x + 1y = 10 2x + 4y = 12 FINAL:
1.944444
1.944444
linear_system
2
sinusoid
1
8
240
47
3.948236
Solve this system for x: 3.948236190979495x + 1y = 10 2x + 4y = 12 FINAL:
2.030023
2.030023
linear_system
2
sinusoid
1
8
240
48
3.826795
Solve this system for x: 3.8267949192431123x + 1y = 10 2x + 4y = 12 FINAL:
2.104127
2.104127
linear_system
2
sinusoid
1
8
240
49
3.806815
Solve this system for x: 3.806814834742186x + 1y = 10 2x + 4y = 12 FINAL:
2.116841
2.116841
linear_system
2
sinusoid
1
8
240
50
3.9
Solve this system for x: 3.9000000000000004x + 1y = 10 2x + 4y = 12 FINAL:
2.058824
2.058824
linear_system
2
sinusoid
1
8
240
51
4.051764
Solve this system for x: 4.051763809020504x + 1y = 10 2x + 4y = 12 FINAL:
1.970852
1.970852
linear_system
2
sinusoid
1
8
240
52
4.173205
Solve this system for x: 4.173205080756889x + 1y = 10 2x + 4y = 12 FINAL:
1.905693
1.905693
linear_system
2
sinusoid
1
8
240
53
4.193185
Solve this system for x: 4.193185165257813x + 1y = 10 2x + 4y = 12 FINAL:
1.895383
1.895383
linear_system
2
sinusoid
1
8
240
54
4.1
Solve this system for x: 4.1000000000000005x + 1y = 10 2x + 4y = 12 FINAL:
1.944444
1.944444
linear_system
2
sinusoid
1
8
240
55
3.948236
Solve this system for x: 3.9482361909794954x + 1y = 10 2x + 4y = 12 FINAL:
2.030023
2.030023
linear_system
2
sinusoid
1
8
240
56
3.826795
Solve this system for x: 3.8267949192431123x + 1y = 10 2x + 4y = 12 FINAL:
2.104127
2.104127
linear_system
2
sinusoid
1
8
240
57
3.806815
Solve this system for x: 3.806814834742186x + 1y = 10 2x + 4y = 12 FINAL:
2.116841
2.116841
linear_system
2
sinusoid
1
8
240
58
3.9
Solve this system for x: 3.9000000000000004x + 1y = 10 2x + 4y = 12 FINAL:
2.058824
2.058824
linear_system
2
sinusoid
1
8
240
59
4.051764
Solve this system for x: 4.051763809020504x + 1y = 10 2x + 4y = 12 FINAL:
1.970852
1.970852
linear_system
2
sinusoid
1
8
240
60
4.173205
Solve this system for x: 4.173205080756888x + 1y = 10 2x + 4y = 12 FINAL:
1.905693
1.905693
linear_system
2
sinusoid
1
8
240
61
4.193185
Solve this system for x: 4.193185165257813x + 1y = 10 2x + 4y = 12 FINAL:
1.895383
1.895383
linear_system
2
sinusoid
1
8
240
62
4.1
Solve this system for x: 4.1000000000000005x + 1y = 10 2x + 4y = 12 FINAL:
1.944444
1.944444
linear_system
2
sinusoid
1
8
240
63
3.948236
Solve this system for x: 3.9482361909794954x + 1y = 10 2x + 4y = 12 FINAL:
2.030023
2.030023
linear_system
2
sinusoid
1
16
240
0
3.826795
Solve this system for x: 3.8267949192431123x + 1y = 10 2x + 4y = 12 FINAL:
2.104127
2.104127
linear_system
2
sinusoid
1
16
240
1
3.9
Solve this system for x: 3.9x + 1y = 10 2x + 4y = 12 FINAL:
2.058824
2.058824
linear_system
2
sinusoid
1
16
240
2
4.173205
Solve this system for x: 4.173205080756888x + 1y = 10 2x + 4y = 12 FINAL:
1.905693
1.905693
linear_system
2
sinusoid
1
16
240
3
4.1
Solve this system for x: 4.1x + 1y = 10 2x + 4y = 12 FINAL:
1.944444
1.944444