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
0
sinusoid
1
2
120
36
4.051764
Solve this system for x: 4.051763809020504x + 1y = 7 1x + 5y = 11 FINAL:
1.246182
1.246182
linear_system
0
sinusoid
1
2
120
37
4.013081
Solve this system for x: 4.013080625846029x + 1y = 7 1x + 5y = 11 FINAL:
1.258825
1.258825
linear_system
0
sinusoid
1
2
120
38
3.973895
Solve this system for x: 3.97389476155599x + 1y = 7 1x + 5y = 11 FINAL:
1.271896
1.271896
linear_system
0
sinusoid
1
2
120
39
3.935712
Solve this system for x: 3.9357121069393677x + 1y = 7 1x + 5y = 11 FINAL:
1.284896
1.284896
linear_system
0
sinusoid
1
2
120
40
3.9
Solve this system for x: 3.9000000000000004x + 1y = 7 1x + 5y = 11 FINAL:
1.297297
1.297297
linear_system
0
sinusoid
1
2
120
41
3.868131
Solve this system for x: 3.8681308369799865x + 1y = 7 1x + 5y = 11 FINAL:
1.308568
1.308568
linear_system
0
sinusoid
1
2
120
42
3.841329
Solve this system for x: 3.841329331941753x + 1y = 7 1x + 5y = 11 FINAL:
1.3182
1.3182
linear_system
0
sinusoid
1
2
120
43
3.820625
Solve this system for x: 3.8206254516934623x + 1y = 7 1x + 5y = 11 FINAL:
1.325738
1.325738
linear_system
0
sinusoid
1
2
120
44
3.806815
Solve this system for x: 3.8068148347421866x + 1y = 7 1x + 5y = 11 FINAL:
1.330814
1.330814
linear_system
0
sinusoid
1
2
120
45
3.800428
Solve this system for x: 3.8004282153522793x + 1y = 7 1x + 5y = 11 FINAL:
1.333175
1.333175
linear_system
0
sinusoid
1
2
120
46
3.801711
Solve this system for x: 3.8017110277252377x + 1y = 7 1x + 5y = 11 FINAL:
1.3327
1.3327
linear_system
0
sinusoid
1
2
120
47
3.810614
Solve this system for x: 3.810613974100979x + 1y = 7 1x + 5y = 11 FINAL:
1.329414
1.329414
linear_system
0
sinusoid
1
2
120
48
3.826795
Solve this system for x: 3.8267949192431123x + 1y = 7 1x + 5y = 11 FINAL:
1.323483
1.323483
linear_system
0
sinusoid
1
2
120
49
3.849632
Solve this system for x: 3.8496320385042044x + 1y = 7 1x + 5y = 11 FINAL:
1.315201
1.315201
linear_system
0
sinusoid
1
2
120
50
3.878248
Solve this system for x: 3.8782477141982556x + 1y = 7 1x + 5y = 11 FINAL:
1.304969
1.304969
linear_system
0
sinusoid
1
2
120
51
3.911542
Solve this system for x: 3.9115422619561997x + 1y = 7 1x + 5y = 11 FINAL:
1.293263
1.293263
linear_system
0
sinusoid
1
2
120
52
3.948236
Solve this system for x: 3.948236190979496x + 1y = 7 1x + 5y = 11 FINAL:
1.280602
1.280602
linear_system
0
sinusoid
1
2
120
53
3.986919
Solve this system for x: 3.9869193741539712x + 1y = 7 1x + 5y = 11 FINAL:
1.267521
1.267521
linear_system
0
sinusoid
1
2
120
54
4.026105
Solve this system for x: 4.02610523844401x + 1y = 7 1x + 5y = 11 FINAL:
1.254539
1.254539
linear_system
0
sinusoid
1
2
120
55
4.064288
Solve this system for x: 4.064287893060632x + 1y = 7 1x + 5y = 11 FINAL:
1.242143
1.242143
linear_system
0
sinusoid
1
2
120
56
4.1
Solve this system for x: 4.1x + 1y = 7 1x + 5y = 11 FINAL:
1.230769
1.230769
linear_system
0
sinusoid
1
2
120
57
4.131869
Solve this system for x: 4.1318691630200135x + 1y = 7 1x + 5y = 11 FINAL:
1.220793
1.220793
linear_system
0
sinusoid
1
2
120
58
4.158671
Solve this system for x: 4.158670668058247x + 1y = 7 1x + 5y = 11 FINAL:
1.212528
1.212528
linear_system
0
sinusoid
1
2
120
59
4.179375
Solve this system for x: 4.179374548306537x + 1y = 7 1x + 5y = 11 FINAL:
1.20622
1.20622
linear_system
0
sinusoid
1
2
120
60
4.193185
Solve this system for x: 4.193185165257813x + 1y = 7 1x + 5y = 11 FINAL:
1.202048
1.202048
linear_system
0
sinusoid
1
2
120
61
4.199572
Solve this system for x: 4.199571784647721x + 1y = 7 1x + 5y = 11 FINAL:
1.200128
1.200128
linear_system
0
sinusoid
1
2
120
62
4.198289
Solve this system for x: 4.198288972274762x + 1y = 7 1x + 5y = 11 FINAL:
1.200514
1.200514
linear_system
0
sinusoid
1
2
120
63
4.189386
Solve this system for x: 4.189386025899021x + 1y = 7 1x + 5y = 11 FINAL:
1.203193
1.203193
linear_system
0
sinusoid
1
4
120
0
4.173205
Solve this system for x: 4.173205080756888x + 1y = 7 1x + 5y = 11 FINAL:
1.208093
1.208093
linear_system
0
sinusoid
1
4
120
1
4.121752
Solve this system for x: 4.121752285801744x + 1y = 7 1x + 5y = 11 FINAL:
1.223943
1.223943
linear_system
0
sinusoid
1
4
120
2
4.051764
Solve this system for x: 4.051763809020504x + 1y = 7 1x + 5y = 11 FINAL:
1.246182
1.246182
linear_system
0
sinusoid
1
4
120
3
3.973895
Solve this system for x: 3.97389476155599x + 1y = 7 1x + 5y = 11 FINAL:
1.271896
1.271896
linear_system
0
sinusoid
1
4
120
4
3.9
Solve this system for x: 3.9x + 1y = 7 1x + 5y = 11 FINAL:
1.297297
1.297297
linear_system
0
sinusoid
1
4
120
5
3.841329
Solve this system for x: 3.841329331941753x + 1y = 7 1x + 5y = 11 FINAL:
1.3182
1.3182
linear_system
0
sinusoid
1
4
120
6
3.806815
Solve this system for x: 3.806814834742186x + 1y = 7 1x + 5y = 11 FINAL:
1.330814
1.330814
linear_system
0
sinusoid
1
4
120
7
3.801711
Solve this system for x: 3.8017110277252377x + 1y = 7 1x + 5y = 11 FINAL:
1.3327
1.3327
linear_system
0
sinusoid
1
4
120
8
3.826795
Solve this system for x: 3.8267949192431123x + 1y = 7 1x + 5y = 11 FINAL:
1.323483
1.323483
linear_system
0
sinusoid
1
4
120
9
3.878248
Solve this system for x: 3.8782477141982556x + 1y = 7 1x + 5y = 11 FINAL:
1.304969
1.304969
linear_system
0
sinusoid
1
4
120
10
3.948236
Solve this system for x: 3.948236190979496x + 1y = 7 1x + 5y = 11 FINAL:
1.280602
1.280602
linear_system
0
sinusoid
1
4
120
11
4.026105
Solve this system for x: 4.02610523844401x + 1y = 7 1x + 5y = 11 FINAL:
1.254539
1.254539
linear_system
0
sinusoid
1
4
120
12
4.1
Solve this system for x: 4.1x + 1y = 7 1x + 5y = 11 FINAL:
1.230769
1.230769
linear_system
0
sinusoid
1
4
120
13
4.158671
Solve this system for x: 4.158670668058247x + 1y = 7 1x + 5y = 11 FINAL:
1.212528
1.212528
linear_system
0
sinusoid
1
4
120
14
4.193185
Solve this system for x: 4.193185165257813x + 1y = 7 1x + 5y = 11 FINAL:
1.202048
1.202048
linear_system
0
sinusoid
1
4
120
15
4.198289
Solve this system for x: 4.198288972274762x + 1y = 7 1x + 5y = 11 FINAL:
1.200514
1.200514
linear_system
0
sinusoid
1
4
120
16
4.173205
Solve this system for x: 4.173205080756888x + 1y = 7 1x + 5y = 11 FINAL:
1.208093
1.208093
linear_system
0
sinusoid
1
4
120
17
4.121752
Solve this system for x: 4.121752285801744x + 1y = 7 1x + 5y = 11 FINAL:
1.223943
1.223943
linear_system
0
sinusoid
1
4
120
18
4.051764
Solve this system for x: 4.051763809020504x + 1y = 7 1x + 5y = 11 FINAL:
1.246182
1.246182
linear_system
0
sinusoid
1
4
120
19
3.973895
Solve this system for x: 3.97389476155599x + 1y = 7 1x + 5y = 11 FINAL:
1.271896
1.271896
linear_system
0
sinusoid
1
4
120
20
3.9
Solve this system for x: 3.9000000000000004x + 1y = 7 1x + 5y = 11 FINAL:
1.297297
1.297297
linear_system
0
sinusoid
1
4
120
21
3.841329
Solve this system for x: 3.841329331941753x + 1y = 7 1x + 5y = 11 FINAL:
1.3182
1.3182
linear_system
0
sinusoid
1
4
120
22
3.806815
Solve this system for x: 3.8068148347421866x + 1y = 7 1x + 5y = 11 FINAL:
1.330814
1.330814
linear_system
0
sinusoid
1
4
120
23
3.801711
Solve this system for x: 3.8017110277252377x + 1y = 7 1x + 5y = 11 FINAL:
1.3327
1.3327
linear_system
0
sinusoid
1
4
120
24
3.826795
Solve this system for x: 3.8267949192431123x + 1y = 7 1x + 5y = 11 FINAL:
1.323483
1.323483
linear_system
0
sinusoid
1
4
120
25
3.878248
Solve this system for x: 3.8782477141982556x + 1y = 7 1x + 5y = 11 FINAL:
1.304969
1.304969
linear_system
0
sinusoid
1
4
120
26
3.948236
Solve this system for x: 3.948236190979496x + 1y = 7 1x + 5y = 11 FINAL:
1.280602
1.280602
linear_system
0
sinusoid
1
4
120
27
4.026105
Solve this system for x: 4.02610523844401x + 1y = 7 1x + 5y = 11 FINAL:
1.254539
1.254539
linear_system
0
sinusoid
1
4
120
28
4.1
Solve this system for x: 4.1x + 1y = 7 1x + 5y = 11 FINAL:
1.230769
1.230769
linear_system
0
sinusoid
1
4
120
29
4.158671
Solve this system for x: 4.158670668058247x + 1y = 7 1x + 5y = 11 FINAL:
1.212528
1.212528
linear_system
0
sinusoid
1
4
120
30
4.193185
Solve this system for x: 4.193185165257813x + 1y = 7 1x + 5y = 11 FINAL:
1.202048
1.202048
linear_system
0
sinusoid
1
4
120
31
4.198289
Solve this system for x: 4.198288972274762x + 1y = 7 1x + 5y = 11 FINAL:
1.200514
1.200514
linear_system
0
sinusoid
1
4
120
32
4.173205
Solve this system for x: 4.173205080756888x + 1y = 7 1x + 5y = 11 FINAL:
1.208093
1.208093
linear_system
0
sinusoid
1
4
120
33
4.121752
Solve this system for x: 4.121752285801744x + 1y = 7 1x + 5y = 11 FINAL:
1.223943
1.223943
linear_system
0
sinusoid
1
4
120
34
4.051764
Solve this system for x: 4.051763809020504x + 1y = 7 1x + 5y = 11 FINAL:
1.246182
1.246182
linear_system
0
sinusoid
1
4
120
35
3.973895
Solve this system for x: 3.97389476155599x + 1y = 7 1x + 5y = 11 FINAL:
1.271896
1.271896
linear_system
0
sinusoid
1
4
120
36
3.9
Solve this system for x: 3.9000000000000004x + 1y = 7 1x + 5y = 11 FINAL:
1.297297
1.297297
linear_system
0
sinusoid
1
4
120
37
3.841329
Solve this system for x: 3.8413293319417527x + 1y = 7 1x + 5y = 11 FINAL:
1.3182
1.3182
linear_system
0
sinusoid
1
4
120
38
3.806815
Solve this system for x: 3.806814834742186x + 1y = 7 1x + 5y = 11 FINAL:
1.330814
1.330814
linear_system
0
sinusoid
1
4
120
39
3.801711
Solve this system for x: 3.8017110277252377x + 1y = 7 1x + 5y = 11 FINAL:
1.3327
1.3327
linear_system
0
sinusoid
1
4
120
40
3.826795
Solve this system for x: 3.8267949192431123x + 1y = 7 1x + 5y = 11 FINAL:
1.323483
1.323483
linear_system
0
sinusoid
1
4
120
41
3.878248
Solve this system for x: 3.8782477141982556x + 1y = 7 1x + 5y = 11 FINAL:
1.304969
1.304969
linear_system
0
sinusoid
1
4
120
42
3.948236
Solve this system for x: 3.9482361909794963x + 1y = 7 1x + 5y = 11 FINAL:
1.280602
1.280602
linear_system
0
sinusoid
1
4
120
43
4.026105
Solve this system for x: 4.026105238444011x + 1y = 7 1x + 5y = 11 FINAL:
1.254539
1.254539
linear_system
0
sinusoid
1
4
120
44
4.1
Solve this system for x: 4.1x + 1y = 7 1x + 5y = 11 FINAL:
1.230769
1.230769
linear_system
0
sinusoid
1
4
120
45
4.158671
Solve this system for x: 4.158670668058247x + 1y = 7 1x + 5y = 11 FINAL:
1.212528
1.212528
linear_system
0
sinusoid
1
4
120
46
4.193185
Solve this system for x: 4.193185165257813x + 1y = 7 1x + 5y = 11 FINAL:
1.202048
1.202048
linear_system
0
sinusoid
1
4
120
47
4.198289
Solve this system for x: 4.198288972274762x + 1y = 7 1x + 5y = 11 FINAL:
1.200514
1.200514
linear_system
0
sinusoid
1
4
120
48
4.173205
Solve this system for x: 4.173205080756888x + 1y = 7 1x + 5y = 11 FINAL:
1.208093
1.208093
linear_system
0
sinusoid
1
4
120
49
4.121752
Solve this system for x: 4.121752285801744x + 1y = 7 1x + 5y = 11 FINAL:
1.223943
1.223943
linear_system
0
sinusoid
1
4
120
50
4.051764
Solve this system for x: 4.051763809020504x + 1y = 7 1x + 5y = 11 FINAL:
1.246182
1.246182
linear_system
0
sinusoid
1
4
120
51
3.973895
Solve this system for x: 3.97389476155599x + 1y = 7 1x + 5y = 11 FINAL:
1.271896
1.271896
linear_system
0
sinusoid
1
4
120
52
3.9
Solve this system for x: 3.8999999999999995x + 1y = 7 1x + 5y = 11 FINAL:
1.297297
1.297297
linear_system
0
sinusoid
1
4
120
53
3.841329
Solve this system for x: 3.8413293319417527x + 1y = 7 1x + 5y = 11 FINAL:
1.3182
1.3182
linear_system
0
sinusoid
1
4
120
54
3.806815
Solve this system for x: 3.806814834742186x + 1y = 7 1x + 5y = 11 FINAL:
1.330814
1.330814
linear_system
0
sinusoid
1
4
120
55
3.801711
Solve this system for x: 3.801711027725238x + 1y = 7 1x + 5y = 11 FINAL:
1.3327
1.3327
linear_system
0
sinusoid
1
4
120
56
3.826795
Solve this system for x: 3.8267949192431123x + 1y = 7 1x + 5y = 11 FINAL:
1.323483
1.323483
linear_system
0
sinusoid
1
4
120
57
3.878248
Solve this system for x: 3.8782477141982556x + 1y = 7 1x + 5y = 11 FINAL:
1.304969
1.304969
linear_system
0
sinusoid
1
4
120
58
3.948236
Solve this system for x: 3.948236190979496x + 1y = 7 1x + 5y = 11 FINAL:
1.280602
1.280602
linear_system
0
sinusoid
1
4
120
59
4.026105
Solve this system for x: 4.026105238444011x + 1y = 7 1x + 5y = 11 FINAL:
1.254539
1.254539
linear_system
0
sinusoid
1
4
120
60
4.1
Solve this system for x: 4.1x + 1y = 7 1x + 5y = 11 FINAL:
1.230769
1.230769
linear_system
0
sinusoid
1
4
120
61
4.158671
Solve this system for x: 4.158670668058247x + 1y = 7 1x + 5y = 11 FINAL:
1.212528
1.212528
linear_system
0
sinusoid
1
4
120
62
4.193185
Solve this system for x: 4.193185165257813x + 1y = 7 1x + 5y = 11 FINAL:
1.202048
1.202048
linear_system
0
sinusoid
1
4
120
63
4.198289
Solve this system for x: 4.198288972274762x + 1y = 7 1x + 5y = 11 FINAL:
1.200514
1.200514
linear_system
0
sinusoid
1
8
120
0
4.173205
Solve this system for x: 4.173205080756888x + 1y = 7 1x + 5y = 11 FINAL:
1.208093
1.208093
linear_system
0
sinusoid
1
8
120
1
4.051764
Solve this system for x: 4.051763809020504x + 1y = 7 1x + 5y = 11 FINAL:
1.246182
1.246182
linear_system
0
sinusoid
1
8
120
2
3.9
Solve this system for x: 3.9x + 1y = 7 1x + 5y = 11 FINAL:
1.297297
1.297297
linear_system
0
sinusoid
1
8
120
3
3.806815
Solve this system for x: 3.806814834742186x + 1y = 7 1x + 5y = 11 FINAL:
1.330814
1.330814
linear_system
0
sinusoid
1
8
120
4
3.826795
Solve this system for x: 3.8267949192431123x + 1y = 7 1x + 5y = 11 FINAL:
1.323483
1.323483
linear_system
0
sinusoid
1
8
120
5
3.948236
Solve this system for x: 3.948236190979496x + 1y = 7 1x + 5y = 11 FINAL:
1.280602
1.280602
linear_system
0
sinusoid
1
8
120
6
4.1
Solve this system for x: 4.1x + 1y = 7 1x + 5y = 11 FINAL:
1.230769
1.230769
linear_system
0
sinusoid
1
8
120
7
4.193185
Solve this system for x: 4.193185165257813x + 1y = 7 1x + 5y = 11 FINAL:
1.202048
1.202048