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
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p_value
float64
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prompt
stringlengths
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ground_truth
float64
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symbolic_baseline_answer
float64
0.52
2.33
linear_system
0
sinusoid
1
2
240
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
2
240
17
4.189386
Solve this system for x: 4.189386025899021x + 1y = 7 1x + 5y = 11 FINAL:
1.203193
1.203193
linear_system
0
sinusoid
1
2
240
18
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
240
19
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
240
20
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
240
21
4.179375
Solve this system for x: 4.179374548306538x + 1y = 7 1x + 5y = 11 FINAL:
1.20622
1.20622
linear_system
0
sinusoid
1
2
240
22
4.158671
Solve this system for x: 4.158670668058248x + 1y = 7 1x + 5y = 11 FINAL:
1.212528
1.212528
linear_system
0
sinusoid
1
2
240
23
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
240
24
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
240
25
4.064288
Solve this system for x: 4.064287893060633x + 1y = 7 1x + 5y = 11 FINAL:
1.242143
1.242143
linear_system
0
sinusoid
1
2
240
26
4.026105
Solve this system for x: 4.026105238444011x + 1y = 7 1x + 5y = 11 FINAL:
1.254539
1.254539
linear_system
0
sinusoid
1
2
240
27
3.986919
Solve this system for x: 3.9869193741539717x + 1y = 7 1x + 5y = 11 FINAL:
1.267521
1.267521
linear_system
0
sinusoid
1
2
240
28
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
240
29
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
240
30
3.878248
Solve this system for x: 3.878247714198256x + 1y = 7 1x + 5y = 11 FINAL:
1.304969
1.304969
linear_system
0
sinusoid
1
2
240
31
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
240
32
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
240
33
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
240
34
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
240
35
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
240
36
3.806815
Solve this system for x: 3.806814834742186x + 1y = 7 1x + 5y = 11 FINAL:
1.330814
1.330814
linear_system
0
sinusoid
1
2
240
37
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
240
38
3.841329
Solve this system for x: 3.8413293319417527x + 1y = 7 1x + 5y = 11 FINAL:
1.3182
1.3182
linear_system
0
sinusoid
1
2
240
39
3.868131
Solve this system for x: 3.868130836979986x + 1y = 7 1x + 5y = 11 FINAL:
1.308568
1.308568
linear_system
0
sinusoid
1
2
240
40
3.9
Solve this system for x: 3.9x + 1y = 7 1x + 5y = 11 FINAL:
1.297297
1.297297
linear_system
0
sinusoid
1
2
240
41
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
240
42
3.973895
Solve this system for x: 3.9738947615559894x + 1y = 7 1x + 5y = 11 FINAL:
1.271896
1.271896
linear_system
0
sinusoid
1
2
240
43
4.013081
Solve this system for x: 4.013080625846028x + 1y = 7 1x + 5y = 11 FINAL:
1.258825
1.258825
linear_system
0
sinusoid
1
2
240
44
4.051764
Solve this system for x: 4.051763809020503x + 1y = 7 1x + 5y = 11 FINAL:
1.246182
1.246182
linear_system
0
sinusoid
1
2
240
45
4.088458
Solve this system for x: 4.0884577380438x + 1y = 7 1x + 5y = 11 FINAL:
1.234423
1.234423
linear_system
0
sinusoid
1
2
240
46
4.121752
Solve this system for x: 4.121752285801744x + 1y = 7 1x + 5y = 11 FINAL:
1.223943
1.223943
linear_system
0
sinusoid
1
2
240
47
4.150368
Solve this system for x: 4.150367961495795x + 1y = 7 1x + 5y = 11 FINAL:
1.215077
1.215077
linear_system
0
sinusoid
1
2
240
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
2
240
49
4.189386
Solve this system for x: 4.1893860258990205x + 1y = 7 1x + 5y = 11 FINAL:
1.203193
1.203193
linear_system
0
sinusoid
1
2
240
50
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
240
51
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
240
52
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
240
53
4.179375
Solve this system for x: 4.179374548306538x + 1y = 7 1x + 5y = 11 FINAL:
1.20622
1.20622
linear_system
0
sinusoid
1
2
240
54
4.158671
Solve this system for x: 4.158670668058248x + 1y = 7 1x + 5y = 11 FINAL:
1.212528
1.212528
linear_system
0
sinusoid
1
2
240
55
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
240
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
240
57
4.064288
Solve this system for x: 4.064287893060633x + 1y = 7 1x + 5y = 11 FINAL:
1.242143
1.242143
linear_system
0
sinusoid
1
2
240
58
4.026105
Solve this system for x: 4.026105238444011x + 1y = 7 1x + 5y = 11 FINAL:
1.254539
1.254539
linear_system
0
sinusoid
1
2
240
59
3.986919
Solve this system for x: 3.9869193741539717x + 1y = 7 1x + 5y = 11 FINAL:
1.267521
1.267521
linear_system
0
sinusoid
1
2
240
60
3.948236
Solve this system for x: 3.9482361909794963x + 1y = 7 1x + 5y = 11 FINAL:
1.280602
1.280602
linear_system
0
sinusoid
1
2
240
61
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
240
62
3.878248
Solve this system for x: 3.878247714198256x + 1y = 7 1x + 5y = 11 FINAL:
1.304969
1.304969
linear_system
0
sinusoid
1
2
240
63
3.849632
Solve this system for x: 3.849632038504205x + 1y = 7 1x + 5y = 11 FINAL:
1.315201
1.315201
linear_system
0
sinusoid
1
4
240
0
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
240
1
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
240
2
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
240
3
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
240
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
240
5
3.973895
Solve this system for x: 3.9738947615559894x + 1y = 7 1x + 5y = 11 FINAL:
1.271896
1.271896
linear_system
0
sinusoid
1
4
240
6
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
240
7
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
240
8
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
240
9
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
240
10
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
240
11
4.158671
Solve this system for x: 4.158670668058248x + 1y = 7 1x + 5y = 11 FINAL:
1.212528
1.212528
linear_system
0
sinusoid
1
4
240
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
240
13
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
240
14
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
240
15
3.878248
Solve this system for x: 3.878247714198256x + 1y = 7 1x + 5y = 11 FINAL:
1.304969
1.304969
linear_system
0
sinusoid
1
4
240
16
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
240
17
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
240
18
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
240
19
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
240
20
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
240
21
3.973895
Solve this system for x: 3.9738947615559894x + 1y = 7 1x + 5y = 11 FINAL:
1.271896
1.271896
linear_system
0
sinusoid
1
4
240
22
4.051764
Solve this system for x: 4.051763809020503x + 1y = 7 1x + 5y = 11 FINAL:
1.246182
1.246182
linear_system
0
sinusoid
1
4
240
23
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
240
24
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
240
25
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
240
26
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
240
27
4.158671
Solve this system for x: 4.158670668058248x + 1y = 7 1x + 5y = 11 FINAL:
1.212528
1.212528
linear_system
0
sinusoid
1
4
240
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
240
29
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
240
30
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
240
31
3.878248
Solve this system for x: 3.878247714198256x + 1y = 7 1x + 5y = 11 FINAL:
1.304969
1.304969
linear_system
0
sinusoid
1
4
240
32
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
240
33
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
240
34
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
240
35
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
240
36
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
240
37
3.973895
Solve this system for x: 3.9738947615559894x + 1y = 7 1x + 5y = 11 FINAL:
1.271896
1.271896
linear_system
0
sinusoid
1
4
240
38
4.051764
Solve this system for x: 4.051763809020503x + 1y = 7 1x + 5y = 11 FINAL:
1.246182
1.246182
linear_system
0
sinusoid
1
4
240
39
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
240
40
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
240
41
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
240
42
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
240
43
4.158671
Solve this system for x: 4.158670668058248x + 1y = 7 1x + 5y = 11 FINAL:
1.212528
1.212528
linear_system
0
sinusoid
1
4
240
44
4.1
Solve this system for x: 4.1000000000000005x + 1y = 7 1x + 5y = 11 FINAL:
1.230769
1.230769
linear_system
0
sinusoid
1
4
240
45
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
240
46
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
240
47
3.878248
Solve this system for x: 3.878247714198256x + 1y = 7 1x + 5y = 11 FINAL:
1.304969
1.304969
linear_system
0
sinusoid
1
4
240
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
4
240
49
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
240
50
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
240
51
3.841329
Solve this system for x: 3.8413293319417527x + 1y = 7 1x + 5y = 11 FINAL:
1.3182
1.3182