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
1
chirp
1
1.234375
null
4
4.039018
Solve this system for x: 4.039018064403225x + 2y = 8 1x + 3y = 9 FINAL:
0.593058
0.593058
linear_system
1
chirp
1
1.292969
null
5
3.801219
Solve this system for x: 3.8012186059995288x + 2y = 8 1x + 3y = 9 FINAL:
0.63805
0.63805
linear_system
1
chirp
1
1.351563
null
6
4.067378
Solve this system for x: 4.067377970678444x + 2y = 8 1x + 3y = 9 FINAL:
0.588112
0.588112
linear_system
1
chirp
1
1.410156
null
7
4.078798
Solve this system for x: 4.078798408012211x + 2y = 8 1x + 3y = 9 FINAL:
0.586144
0.586144
linear_system
1
chirp
1
1.46875
null
8
3.858579
Solve this system for x: 3.8585786437626903x + 2y = 8 1x + 3y = 9 FINAL:
0.626584
0.626584
linear_system
1
chirp
1
1.527344
null
9
4.143146
Solve this system for x: 4.143146165056764x + 2y = 8 1x + 3y = 9 FINAL:
0.575295
0.575295
linear_system
1
chirp
1
1.585938
null
10
3.914489
Solve this system for x: 3.9144889813139434x + 2y = 8 1x + 3y = 9 FINAL:
0.615797
0.615797
linear_system
1
chirp
1
1.644531
null
11
3.944296
Solve this system for x: 3.9442960621229903x + 2y = 8 1x + 3y = 9 FINAL:
0.610197
0.610197
linear_system
1
chirp
1
1.703125
null
12
4.196157
Solve this system for x: 4.196157056080646x + 2y = 8 1x + 3y = 9 FINAL:
0.566654
0.566654
linear_system
1
chirp
1
1.761719
null
13
3.939599
Solve this system for x: 3.9395988101361543x + 2y = 8 1x + 3y = 9 FINAL:
0.611073
0.611073
linear_system
1
chirp
1
1.820313
null
14
3.800241
Solve this system for x: 3.8002409087589655x + 2y = 8 1x + 3y = 9 FINAL:
0.638249
0.638249
linear_system
1
chirp
1
1.878906
null
15
3.890935
Solve this system for x: 3.890935002315593x + 2y = 8 1x + 3y = 9 FINAL:
0.620296
0.620296
linear_system
1
chirp
1
1.9375
null
16
4
Solve this system for x: 3.999999999999999x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
chirp
1
1.996094
null
17
4.041422
Solve this system for x: 4.041422275238446x + 2y = 8 1x + 3y = 9 FINAL:
0.592636
0.592636
linear_system
1
chirp
1
2.054688
null
18
4.009814
Solve this system for x: 4.009813534865484x + 2y = 8 1x + 3y = 9 FINAL:
0.598239
0.598239
linear_system
1
chirp
1
2.113281
null
19
3.907892
Solve this system for x: 3.9078922578083515x + 2y = 8 1x + 3y = 9 FINAL:
0.617051
0.617051
linear_system
1
chirp
1
2.171875
null
20
3.803843
Solve this system for x: 3.8038429439193537x + 2y = 8 1x + 3y = 9 FINAL:
0.637516
0.637516
linear_system
1
chirp
1
2.230469
null
21
3.903563
Solve this system for x: 3.903563245584176x + 2y = 8 1x + 3y = 9 FINAL:
0.617876
0.617876
linear_system
1
chirp
1
2.289063
null
22
4.180798
Solve this system for x: 4.180797858624688x + 2y = 8 1x + 3y = 9 FINAL:
0.569131
0.569131
linear_system
1
chirp
1
2.347656
null
23
4.002454
Solve this system for x: 4.002454307657147x + 2y = 8 1x + 3y = 9 FINAL:
0.599559
0.599559
linear_system
1
chirp
1
2.40625
null
24
3.858579
Solve this system for x: 3.8585786437626903x + 2y = 8 1x + 3y = 9 FINAL:
0.626584
0.626584
linear_system
1
chirp
1
2.464844
null
25
4.185701
Solve this system for x: 4.185701216094644x + 2y = 8 1x + 3y = 9 FINAL:
0.568338
0.568338
linear_system
1
chirp
1
2.523438
null
26
3.811691
Solve this system for x: 3.811691186963395x + 2y = 8 1x + 3y = 9 FINAL:
0.635925
0.635925
linear_system
1
chirp
1
2.582031
null
27
4.156147
Solve this system for x: 4.156147445714423x + 2y = 8 1x + 3y = 9 FINAL:
0.573151
0.573151
linear_system
1
chirp
1
2.640625
null
28
3.960982
Solve this system for x: 3.9609819355967666x + 2y = 8 1x + 3y = 9 FINAL:
0.607106
0.607106
linear_system
1
chirp
1
2.699219
null
29
3.846967
Solve this system for x: 3.8469665468755103x + 2y = 8 1x + 3y = 9 FINAL:
0.628872
0.628872
linear_system
1
chirp
1
2.757813
null
30
4.14819
Solve this system for x: 4.148190225070995x + 2y = 8 1x + 3y = 9 FINAL:
0.574461
0.574461
linear_system
1
chirp
1
2.816406
null
31
4.164918
Solve this system for x: 4.164917860557003x + 2y = 8 1x + 3y = 9 FINAL:
0.571714
0.571714
linear_system
1
chirp
1
2.875
null
32
4
Solve this system for x: 3.9999999999999942x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
chirp
1
2.933594
null
33
3.886854
Solve this system for x: 3.8868536378432736x + 2y = 8 1x + 3y = 9 FINAL:
0.621082
0.621082
linear_system
1
chirp
1
2.992188
null
34
3.85181
Solve this system for x: 3.8518097749290092x + 2y = 8 1x + 3y = 9 FINAL:
0.627915
0.627915
linear_system
1
chirp
1
3.050781
null
35
3.871234
Solve this system for x: 3.871233691422043x + 2y = 8 1x + 3y = 9 FINAL:
0.624109
0.624109
linear_system
1
chirp
1
3.109375
null
36
3.960982
Solve this system for x: 3.9609819355967697x + 2y = 8 1x + 3y = 9 FINAL:
0.607106
0.607106
linear_system
1
chirp
1
3.167969
null
37
4.124972
Solve this system for x: 4.124971897628472x + 2y = 8 1x + 3y = 9 FINAL:
0.578318
0.578318
linear_system
1
chirp
1
3.226563
null
38
4.188309
Solve this system for x: 4.188308813036605x + 2y = 8 1x + 3y = 9 FINAL:
0.567917
0.567917
linear_system
1
chirp
1
3.285156
null
39
3.925737
Solve this system for x: 3.925736561209639x + 2y = 8 1x + 3y = 9 FINAL:
0.613672
0.613672
linear_system
1
chirp
1
3.34375
null
40
3.858579
Solve this system for x: 3.8585786437626868x + 2y = 8 1x + 3y = 9 FINAL:
0.626584
0.626584
linear_system
1
chirp
1
3.402344
null
41
4.199985
Solve this system for x: 4.199984940367829x + 2y = 8 1x + 3y = 9 FINAL:
0.56604
0.56604
linear_system
1
chirp
1
3.460938
null
42
3.819202
Solve this system for x: 3.8192021413753108x + 2y = 8 1x + 3y = 9 FINAL:
0.63441
0.63441
linear_system
1
chirp
1
3.519531
null
43
4.175214
Solve this system for x: 4.1752140188390845x + 2y = 8 1x + 3y = 9 FINAL:
0.570036
0.570036
linear_system
1
chirp
1
3.578125
null
44
3.803843
Solve this system for x: 3.803842943919353x + 2y = 8 1x + 3y = 9 FINAL:
0.637516
0.637516
linear_system
1
chirp
1
3.636719
null
45
4.177528
Solve this system for x: 4.1775279240805725x + 2y = 8 1x + 3y = 9 FINAL:
0.569661
0.569661
linear_system
1
chirp
1
3.695313
null
46
3.990186
Solve this system for x: 3.9901864651345216x + 2y = 8 1x + 3y = 9 FINAL:
0.601772
0.601772
linear_system
1
chirp
1
3.753906
null
47
3.804337
Solve this system for x: 3.804336525856078x + 2y = 8 1x + 3y = 9 FINAL:
0.637416
0.637416
linear_system
1
chirp
1
3.8125
null
48
4
Solve this system for x: 3.999999999999998x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
chirp
1
3.871094
null
49
4.167645
Solve this system for x: 4.167644941110972x + 2y = 8 1x + 3y = 9 FINAL:
0.571269
0.571269
linear_system
1
chirp
1
3.929688
null
50
4.199759
Solve this system for x: 4.1997590912410345x + 2y = 8 1x + 3y = 9 FINAL:
0.566076
0.566076
linear_system
1
chirp
1
3.988281
null
51
4.190661
Solve this system for x: 4.190661208070837x + 2y = 8 1x + 3y = 9 FINAL:
0.567538
0.567538
linear_system
1
chirp
1
4.046875
null
52
4.196157
Solve this system for x: 4.196157056080644x + 2y = 8 1x + 3y = 9 FINAL:
0.566654
0.566654
linear_system
1
chirp
1
4.105469
null
53
4.192086
Solve this system for x: 4.192086103883114x + 2y = 8 1x + 3y = 9 FINAL:
0.567308
0.567308
linear_system
1
chirp
1
4.164063
null
54
4.085511
Solve this system for x: 4.085511018686058x + 2y = 8 1x + 3y = 9 FINAL:
0.584993
0.584993
linear_system
1
chirp
1
4.222656
null
55
3.860325
Solve this system for x: 3.8603247501182105x + 2y = 8 1x + 3y = 9 FINAL:
0.626241
0.626241
linear_system
1
chirp
1
4.28125
null
56
3.858579
Solve this system for x: 3.858578643762678x + 2y = 8 1x + 3y = 9 FINAL:
0.626584
0.626584
linear_system
1
chirp
1
4.339844
null
57
4.183823
Solve this system for x: 4.183822770338007x + 2y = 8 1x + 3y = 9 FINAL:
0.568641
0.568641
linear_system
1
chirp
1
4.398438
null
58
3.932622
Solve this system for x: 3.932622029321569x + 2y = 8 1x + 3y = 9 FINAL:
0.612378
0.612378
linear_system
1
chirp
1
4.457031
null
59
3.977956
Solve this system for x: 3.9779555585412245x + 2y = 8 1x + 3y = 9 FINAL:
0.603994
0.603994
linear_system
1
chirp
1
4.515625
null
60
4.039018
Solve this system for x: 4.039018064403216x + 2y = 8 1x + 3y = 9 FINAL:
0.593058
0.593058
linear_system
1
chirp
1
4.574219
null
61
4.017159
Solve this system for x: 4.0171594624689x + 2y = 8 1x + 3y = 9 FINAL:
0.596927
0.596927
linear_system
1
chirp
1
4.632813
null
62
3.865688
Solve this system for x: 3.8656882090306075x + 2y = 8 1x + 3y = 9 FINAL:
0.625191
0.625191
linear_system
1
chirp
1
4.691406
null
63
4.196621
Solve this system for x: 4.196621097486248x + 2y = 8 1x + 3y = 9 FINAL:
0.56658
0.56658
linear_system
1
chirp
1
4.75
null
64
4
Solve this system for x: 3.9999999999999796x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
chirp
1
4.808594
null
65
3.803379
Solve this system for x: 3.803378902513757x + 2y = 8 1x + 3y = 9 FINAL:
0.63761
0.63761
linear_system
1
chirp
1
4.867188
null
66
3.865688
Solve this system for x: 3.865688209030601x + 2y = 8 1x + 3y = 9 FINAL:
0.625191
0.625191
linear_system
1
chirp
1
4.925781
null
67
3.982841
Solve this system for x: 3.9828405375311093x + 2y = 8 1x + 3y = 9 FINAL:
0.603105
0.603105
linear_system
1
chirp
1
4.984375
null
68
4.039018
Solve this system for x: 4.039018064403243x + 2y = 8 1x + 3y = 9 FINAL:
0.593058
0.593058
linear_system
1
chirp
1
5.042969
null
69
4.022044
Solve this system for x: 4.022044441458799x + 2y = 8 1x + 3y = 9 FINAL:
0.596058
0.596058
linear_system
1
chirp
1
5.101563
null
70
3.932622
Solve this system for x: 3.932622029321565x + 2y = 8 1x + 3y = 9 FINAL:
0.612378
0.612378
linear_system
1
chirp
1
5.160156
null
71
3.816177
Solve this system for x: 3.816177229661999x + 2y = 8 1x + 3y = 9 FINAL:
0.635019
0.635019
linear_system
1
chirp
1
5.21875
null
72
3.858579
Solve this system for x: 3.8585786437626712x + 2y = 8 1x + 3y = 9 FINAL:
0.626584
0.626584
linear_system
1
chirp
1
5.277344
null
73
4.139675
Solve this system for x: 4.139675249881786x + 2y = 8 1x + 3y = 9 FINAL:
0.57587
0.57587
linear_system
1
chirp
1
5.335938
null
74
4.085511
Solve this system for x: 4.08551101868608x + 2y = 8 1x + 3y = 9 FINAL:
0.584993
0.584993
linear_system
1
chirp
1
5.394531
null
75
3.807914
Solve this system for x: 3.8079138961168804x + 2y = 8 1x + 3y = 9 FINAL:
0.63669
0.63669
linear_system
1
chirp
1
5.453125
null
76
4.196157
Solve this system for x: 4.196157056080645x + 2y = 8 1x + 3y = 9 FINAL:
0.566654
0.566654
linear_system
1
chirp
1
5.511719
null
77
3.809339
Solve this system for x: 3.8093387919291657x + 2y = 8 1x + 3y = 9 FINAL:
0.636401
0.636401
linear_system
1
chirp
1
5.570313
null
78
4.199759
Solve this system for x: 4.199759091241034x + 2y = 8 1x + 3y = 9 FINAL:
0.566076
0.566076
linear_system
1
chirp
1
5.628906
null
79
3.832355
Solve this system for x: 3.8323550588890147x + 2y = 8 1x + 3y = 9 FINAL:
0.631774
0.631774
linear_system
1
chirp
1
5.6875
null
80
4
Solve this system for x: 3.999999999999994x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
chirp
1
5.746094
null
81
4.195663
Solve this system for x: 4.195663474143919x + 2y = 8 1x + 3y = 9 FINAL:
0.566733
0.566733
linear_system
1
chirp
1
5.804688
null
82
3.990186
Solve this system for x: 3.990186465134512x + 2y = 8 1x + 3y = 9 FINAL:
0.601772
0.601772
linear_system
1
chirp
1
5.863281
null
83
3.822472
Solve this system for x: 3.8224720759194253x + 2y = 8 1x + 3y = 9 FINAL:
0.633753
0.633753
linear_system
1
chirp
1
5.921875
null
84
3.803843
Solve this system for x: 3.8038429439193533x + 2y = 8 1x + 3y = 9 FINAL:
0.637516
0.637516
linear_system
1
chirp
1
5.980469
null
85
3.824786
Solve this system for x: 3.824785981160925x + 2y = 8 1x + 3y = 9 FINAL:
0.633288
0.633288
linear_system
1
chirp
1
6.039063
null
86
3.819202
Solve this system for x: 3.819202141375317x + 2y = 8 1x + 3y = 9 FINAL:
0.63441
0.63441
linear_system
1
chirp
1
6.097656
null
87
3.800015
Solve this system for x: 3.800015059632171x + 2y = 8 1x + 3y = 9 FINAL:
0.638295
0.638295
linear_system
1
chirp
1
6.15625
null
88
3.858579
Solve this system for x: 3.858578643762683x + 2y = 8 1x + 3y = 9 FINAL:
0.626584
0.626584
linear_system
1
chirp
1
6.214844
null
89
4.074263
Solve this system for x: 4.074263438790361x + 2y = 8 1x + 3y = 9 FINAL:
0.586924
0.586924
linear_system
1
chirp
1
6.273438
null
90
4.188309
Solve this system for x: 4.1883088130366x + 2y = 8 1x + 3y = 9 FINAL:
0.567917
0.567917
linear_system
1
chirp
1
6.332031
null
91
3.875028
Solve this system for x: 3.8750281023715214x + 2y = 8 1x + 3y = 9 FINAL:
0.623371
0.623371
linear_system
1
chirp
1
6.390625
null
92
3.960982
Solve this system for x: 3.9609819355967373x + 2y = 8 1x + 3y = 9 FINAL:
0.607106
0.607106
linear_system
1
chirp
1
6.449219
null
93
4.128766
Solve this system for x: 4.12876630857797x + 2y = 8 1x + 3y = 9 FINAL:
0.577684
0.577684
linear_system
1
chirp
1
6.507813
null
94
3.85181
Solve this system for x: 3.8518097749289932x + 2y = 8 1x + 3y = 9 FINAL:
0.627915
0.627915
linear_system
1
chirp
1
6.566406
null
95
4.113146
Solve this system for x: 4.113146362156771x + 2y = 8 1x + 3y = 9 FINAL:
0.580302
0.580302
linear_system
1
chirp
1
6.625
null
96
4
Solve this system for x: 3.999999999999968x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
chirp
1
6.683594
null
97
3.835082
Solve this system for x: 3.8350821394430152x + 2y = 8 1x + 3y = 9 FINAL:
0.63123
0.63123
linear_system
1
chirp
1
6.742188
null
98
4.14819
Solve this system for x: 4.148190225070977x + 2y = 8 1x + 3y = 9 FINAL:
0.574461
0.574461
linear_system
1
chirp
1
6.800781
null
99
4.153033
Solve this system for x: 4.153033453124467x + 2y = 8 1x + 3y = 9 FINAL:
0.573663
0.573663
linear_system
1
chirp
1
6.859375
null
100
3.960982
Solve this system for x: 3.960981935596736x + 2y = 8 1x + 3y = 9 FINAL:
0.607106
0.607106
linear_system
1
chirp
1
6.917969
null
101
3.843853
Solve this system for x: 3.8438525542855952x + 2y = 8 1x + 3y = 9 FINAL:
0.629488
0.629488
linear_system
1
chirp
1
6.976563
null
102
3.811691
Solve this system for x: 3.8116911869633836x + 2y = 8 1x + 3y = 9 FINAL:
0.635925
0.635925
linear_system
1
chirp
1
7.035156
null
103
3.814299
Solve this system for x: 3.8142987839053446x + 2y = 8 1x + 3y = 9 FINAL:
0.635398
0.635398