Datasets:
ai-metrology-lab
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MathBode-LinearSystem

Dataset card Data Studio Files
xet
Community
1
family
stringclasses
1 value
question_id
int64
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2
signal_type
stringclasses
2 values
amplitude_scale
float64
0.5
2.5
frequency_cycles
float64
1
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phase_deg
float64
0
240
⌀
time_step
int64
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255
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
2
sinusoid
1
1
240
60
3.878248
Solve this system for x: 3.878247714198256x + 1y = 10 2x + 4y = 12 FINAL:
2.07208
2.07208
linear_system
2
sinusoid
1
1
240
61
3.863282
Solve this system for x: 3.863281539595426x + 1y = 10 2x + 4y = 12 FINAL:
2.081301
2.081301
linear_system
2
sinusoid
1
1
240
62
3.849632
Solve this system for x: 3.8496320385042044x + 1y = 10 2x + 4y = 12 FINAL:
2.089782
2.089782
linear_system
2
sinusoid
1
1
240
63
3.837431
Solve this system for x: 3.837430663081677x + 1y = 10 2x + 4y = 12 FINAL:
2.097422
2.097422
linear_system
2
sinusoid
1
2
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
2
240
1
3.810614
Solve this system for x: 3.810613974100979x + 1y = 10 2x + 4y = 12 FINAL:
2.114411
2.114411
linear_system
2
sinusoid
1
2
240
2
3.801711
Solve this system for x: 3.801711027725238x + 1y = 10 2x + 4y = 12 FINAL:
2.120113
2.120113
linear_system
2
sinusoid
1
2
240
3
3.800428
Solve this system for x: 3.8004282153522793x + 1y = 10 2x + 4y = 12 FINAL:
2.120937
2.120937
linear_system
2
sinusoid
1
2
240
4
3.806815
Solve this system for x: 3.806814834742186x + 1y = 10 2x + 4y = 12 FINAL:
2.116841
2.116841
linear_system
2
sinusoid
1
2
240
5
3.820625
Solve this system for x: 3.8206254516934623x + 1y = 10 2x + 4y = 12 FINAL:
2.108037
2.108037
linear_system
2
sinusoid
1
2
240
6
3.841329
Solve this system for x: 3.841329331941753x + 1y = 10 2x + 4y = 12 FINAL:
2.094975
2.094975
linear_system
2
sinusoid
1
2
240
7
3.868131
Solve this system for x: 3.868130836979986x + 1y = 10 2x + 4y = 12 FINAL:
2.078304
2.078304
linear_system
2
sinusoid
1
2
240
8
3.9
Solve this system for x: 3.9x + 1y = 10 2x + 4y = 12 FINAL:
2.058824
2.058824
linear_system
2
sinusoid
1
2
240
9
3.935712
Solve this system for x: 3.9357121069393677x + 1y = 10 2x + 4y = 12 FINAL:
2.037423
2.037423
linear_system
2
sinusoid
1
2
240
10
3.973895
Solve this system for x: 3.9738947615559894x + 1y = 10 2x + 4y = 12 FINAL:
2.015029
2.015029
linear_system
2
sinusoid
1
2
240
11
4.013081
Solve this system for x: 4.013080625846029x + 1y = 10 2x + 4y = 12 FINAL:
1.992553
1.992553
linear_system
2
sinusoid
1
2
240
12
4.051764
Solve this system for x: 4.051763809020504x + 1y = 10 2x + 4y = 12 FINAL:
1.970852
1.970852
linear_system
2
sinusoid
1
2
240
13
4.088458
Solve this system for x: 4.0884577380438x + 1y = 10 2x + 4y = 12 FINAL:
1.950699
1.950699
linear_system
2
sinusoid
1
2
240
14
4.121752
Solve this system for x: 4.121752285801744x + 1y = 10 2x + 4y = 12 FINAL:
1.932766
1.932766
linear_system
2
sinusoid
1
2
240
15
4.150368
Solve this system for x: 4.150367961495795x + 1y = 10 2x + 4y = 12 FINAL:
1.917615
1.917615
linear_system
2
sinusoid
1
2
240
16
4.173205
Solve this system for x: 4.173205080756888x + 1y = 10 2x + 4y = 12 FINAL:
1.905693
1.905693
linear_system
2
sinusoid
1
2
240
17
4.189386
Solve this system for x: 4.189386025899021x + 1y = 10 2x + 4y = 12 FINAL:
1.897335
1.897335
linear_system
2
sinusoid
1
2
240
18
4.198289
Solve this system for x: 4.198288972274762x + 1y = 10 2x + 4y = 12 FINAL:
1.892767
1.892767
linear_system
2
sinusoid
1
2
240
19
4.199572
Solve this system for x: 4.199571784647721x + 1y = 10 2x + 4y = 12 FINAL:
1.892111
1.892111
linear_system
2
sinusoid
1
2
240
20
4.193185
Solve this system for x: 4.193185165257813x + 1y = 10 2x + 4y = 12 FINAL:
1.895383
1.895383
linear_system
2
sinusoid
1
2
240
21
4.179375
Solve this system for x: 4.179374548306538x + 1y = 10 2x + 4y = 12 FINAL:
1.902497
1.902497
linear_system
2
sinusoid
1
2
240
22
4.158671
Solve this system for x: 4.158670668058248x + 1y = 10 2x + 4y = 12 FINAL:
1.913263
1.913263
linear_system
2
sinusoid
1
2
240
23
4.131869
Solve this system for x: 4.1318691630200135x + 1y = 10 2x + 4y = 12 FINAL:
1.927382
1.927382
linear_system
2
sinusoid
1
2
240
24
4.1
Solve this system for x: 4.1x + 1y = 10 2x + 4y = 12 FINAL:
1.944444
1.944444
linear_system
2
sinusoid
1
2
240
25
4.064288
Solve this system for x: 4.064287893060633x + 1y = 10 2x + 4y = 12 FINAL:
1.963927
1.963927
linear_system
2
sinusoid
1
2
240
26
4.026105
Solve this system for x: 4.026105238444011x + 1y = 10 2x + 4y = 12 FINAL:
1.985193
1.985193
linear_system
2
sinusoid
1
2
240
27
3.986919
Solve this system for x: 3.9869193741539717x + 1y = 10 2x + 4y = 12 FINAL:
2.007503
2.007503
linear_system
2
sinusoid
1
2
240
28
3.948236
Solve this system for x: 3.948236190979496x + 1y = 10 2x + 4y = 12 FINAL:
2.030023
2.030023
linear_system
2
sinusoid
1
2
240
29
3.911542
Solve this system for x: 3.9115422619561997x + 1y = 10 2x + 4y = 12 FINAL:
2.051858
2.051858
linear_system
2
sinusoid
1
2
240
30
3.878248
Solve this system for x: 3.878247714198256x + 1y = 10 2x + 4y = 12 FINAL:
2.07208
2.07208
linear_system
2
sinusoid
1
2
240
31
3.849632
Solve this system for x: 3.8496320385042044x + 1y = 10 2x + 4y = 12 FINAL:
2.089782
2.089782
linear_system
2
sinusoid
1
2
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
2
240
33
3.810614
Solve this system for x: 3.810613974100979x + 1y = 10 2x + 4y = 12 FINAL:
2.114411
2.114411
linear_system
2
sinusoid
1
2
240
34
3.801711
Solve this system for x: 3.8017110277252377x + 1y = 10 2x + 4y = 12 FINAL:
2.120113
2.120113
linear_system
2
sinusoid
1
2
240
35
3.800428
Solve this system for x: 3.8004282153522793x + 1y = 10 2x + 4y = 12 FINAL:
2.120937
2.120937
linear_system
2
sinusoid
1
2
240
36
3.806815
Solve this system for x: 3.806814834742186x + 1y = 10 2x + 4y = 12 FINAL:
2.116841
2.116841
linear_system
2
sinusoid
1
2
240
37
3.820625
Solve this system for x: 3.8206254516934623x + 1y = 10 2x + 4y = 12 FINAL:
2.108037
2.108037
linear_system
2
sinusoid
1
2
240
38
3.841329
Solve this system for x: 3.8413293319417527x + 1y = 10 2x + 4y = 12 FINAL:
2.094975
2.094975
linear_system
2
sinusoid
1
2
240
39
3.868131
Solve this system for x: 3.868130836979986x + 1y = 10 2x + 4y = 12 FINAL:
2.078304
2.078304
linear_system
2
sinusoid
1
2
240
40
3.9
Solve this system for x: 3.9x + 1y = 10 2x + 4y = 12 FINAL:
2.058824
2.058824
linear_system
2
sinusoid
1
2
240
41
3.935712
Solve this system for x: 3.9357121069393677x + 1y = 10 2x + 4y = 12 FINAL:
2.037423
2.037423
linear_system
2
sinusoid
1
2
240
42
3.973895
Solve this system for x: 3.9738947615559894x + 1y = 10 2x + 4y = 12 FINAL:
2.015029
2.015029
linear_system
2
sinusoid
1
2
240
43
4.013081
Solve this system for x: 4.013080625846028x + 1y = 10 2x + 4y = 12 FINAL:
1.992553
1.992553
linear_system
2
sinusoid
1
2
240
44
4.051764
Solve this system for x: 4.051763809020503x + 1y = 10 2x + 4y = 12 FINAL:
1.970852
1.970852
linear_system
2
sinusoid
1
2
240
45
4.088458
Solve this system for x: 4.0884577380438x + 1y = 10 2x + 4y = 12 FINAL:
1.950699
1.950699
linear_system
2
sinusoid
1
2
240
46
4.121752
Solve this system for x: 4.121752285801744x + 1y = 10 2x + 4y = 12 FINAL:
1.932766
1.932766
linear_system
2
sinusoid
1
2
240
47
4.150368
Solve this system for x: 4.150367961495795x + 1y = 10 2x + 4y = 12 FINAL:
1.917615
1.917615
linear_system
2
sinusoid
1
2
240
48
4.173205
Solve this system for x: 4.173205080756888x + 1y = 10 2x + 4y = 12 FINAL:
1.905693
1.905693
linear_system
2
sinusoid
1
2
240
49
4.189386
Solve this system for x: 4.1893860258990205x + 1y = 10 2x + 4y = 12 FINAL:
1.897335
1.897335
linear_system
2
sinusoid
1
2
240
50
4.198289
Solve this system for x: 4.198288972274762x + 1y = 10 2x + 4y = 12 FINAL:
1.892767
1.892767
linear_system
2
sinusoid
1
2
240
51
4.199572
Solve this system for x: 4.199571784647721x + 1y = 10 2x + 4y = 12 FINAL:
1.892111
1.892111
linear_system
2
sinusoid
1
2
240
52
4.193185
Solve this system for x: 4.193185165257813x + 1y = 10 2x + 4y = 12 FINAL:
1.895383
1.895383
linear_system
2
sinusoid
1
2
240
53
4.179375
Solve this system for x: 4.179374548306538x + 1y = 10 2x + 4y = 12 FINAL:
1.902497
1.902497
linear_system
2
sinusoid
1
2
240
54
4.158671
Solve this system for x: 4.158670668058248x + 1y = 10 2x + 4y = 12 FINAL:
1.913263
1.913263
linear_system
2
sinusoid
1
2
240
55
4.131869
Solve this system for x: 4.1318691630200135x + 1y = 10 2x + 4y = 12 FINAL:
1.927382
1.927382
linear_system
2
sinusoid
1
2
240
56
4.1
Solve this system for x: 4.1x + 1y = 10 2x + 4y = 12 FINAL:
1.944444
1.944444
linear_system
2
sinusoid
1
2
240
57
4.064288
Solve this system for x: 4.064287893060633x + 1y = 10 2x + 4y = 12 FINAL:
1.963927
1.963927
linear_system
2
sinusoid
1
2
240
58
4.026105
Solve this system for x: 4.026105238444011x + 1y = 10 2x + 4y = 12 FINAL:
1.985193
1.985193
linear_system
2
sinusoid
1
2
240
59
3.986919
Solve this system for x: 3.9869193741539717x + 1y = 10 2x + 4y = 12 FINAL:
2.007503
2.007503
linear_system
2
sinusoid
1
2
240
60
3.948236
Solve this system for x: 3.9482361909794963x + 1y = 10 2x + 4y = 12 FINAL:
2.030023
2.030023
linear_system
2
sinusoid
1
2
240
61
3.911542
Solve this system for x: 3.9115422619561997x + 1y = 10 2x + 4y = 12 FINAL:
2.051858
2.051858
linear_system
2
sinusoid
1
2
240
62
3.878248
Solve this system for x: 3.878247714198256x + 1y = 10 2x + 4y = 12 FINAL:
2.07208
2.07208
linear_system
2
sinusoid
1
2
240
63
3.849632
Solve this system for x: 3.849632038504205x + 1y = 10 2x + 4y = 12 FINAL:
2.089782
2.089782
linear_system
2
sinusoid
1
4
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
4
240
1
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
2
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
3
3.841329
Solve this system for x: 3.841329331941753x + 1y = 10 2x + 4y = 12 FINAL:
2.094975
2.094975
linear_system
2
sinusoid
1
4
240
4
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
5
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
6
4.051764
Solve this system for x: 4.051763809020504x + 1y = 10 2x + 4y = 12 FINAL:
1.970852
1.970852
linear_system
2
sinusoid
1
4
240
7
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
8
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
9
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
10
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
11
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
12
4.1
Solve this system for x: 4.1x + 1y = 10 2x + 4y = 12 FINAL:
1.944444
1.944444
linear_system
2
sinusoid
1
4
240
13
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
14
3.948236
Solve this system for x: 3.948236190979496x + 1y = 10 2x + 4y = 12 FINAL:
2.030023
2.030023
linear_system
2
sinusoid
1
4
240
15
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
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
4
240
17
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
18
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
19
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
20
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
21
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
22
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
23
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
24
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
25
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
26
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
27
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
28
4.1
Solve this system for x: 4.1x + 1y = 10 2x + 4y = 12 FINAL:
1.944444
1.944444
linear_system
2
sinusoid
1
4
240
29
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
30
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
31
3.878248
Solve this system for x: 3.878247714198256x + 1y = 10 2x + 4y = 12 FINAL:
2.07208
2.07208