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
12.953125
null
204
4.196157
Solve this system for x: 4.1961570560806125x + 2y = 8 1x + 3y = 9 FINAL:
0.566654
0.566654
linear_system
1
chirp
1
13.011719
null
205
4.190661
Solve this system for x: 4.190661208070794x + 2y = 8 1x + 3y = 9 FINAL:
0.567538
0.567538
linear_system
1
chirp
1
13.070313
null
206
4.199759
Solve this system for x: 4.199759091241032x + 2y = 8 1x + 3y = 9 FINAL:
0.566076
0.566076
linear_system
1
chirp
1
13.128906
null
207
4.167645
Solve this system for x: 4.167644941110919x + 2y = 8 1x + 3y = 9 FINAL:
0.571269
0.571269
linear_system
1
chirp
1
13.1875
null
208
4
Solve this system for x: 4.000000000000065x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
chirp
1
13.246094
null
209
3.804337
Solve this system for x: 3.804336525856107x + 2y = 8 1x + 3y = 9 FINAL:
0.637416
0.637416
linear_system
1
chirp
1
13.304688
null
210
3.990186
Solve this system for x: 3.990186465134331x + 2y = 8 1x + 3y = 9 FINAL:
0.601772
0.601772
linear_system
1
chirp
1
13.363281
null
211
4.177528
Solve this system for x: 4.177527924080642x + 2y = 8 1x + 3y = 9 FINAL:
0.569661
0.569661
linear_system
1
chirp
1
13.421875
null
212
3.803843
Solve this system for x: 3.8038429439193653x + 2y = 8 1x + 3y = 9 FINAL:
0.637516
0.637516
linear_system
1
chirp
1
13.480469
null
213
4.175214
Solve this system for x: 4.175214018839128x + 2y = 8 1x + 3y = 9 FINAL:
0.570036
0.570036
linear_system
1
chirp
1
13.539063
null
214
3.819202
Solve this system for x: 3.819202141375333x + 2y = 8 1x + 3y = 9 FINAL:
0.63441
0.63441
linear_system
1
chirp
1
13.597656
null
215
4.199985
Solve this system for x: 4.199984940367827x + 2y = 8 1x + 3y = 9 FINAL:
0.56604
0.56604
linear_system
1
chirp
1
13.65625
null
216
3.858579
Solve this system for x: 3.858578643762579x + 2y = 8 1x + 3y = 9 FINAL:
0.626584
0.626584
linear_system
1
chirp
1
13.714844
null
217
3.925737
Solve this system for x: 3.9257365612097432x + 2y = 8 1x + 3y = 9 FINAL:
0.613672
0.613672
linear_system
1
chirp
1
13.773438
null
218
4.188309
Solve this system for x: 4.188308813036611x + 2y = 8 1x + 3y = 9 FINAL:
0.567917
0.567917
linear_system
1
chirp
1
13.832031
null
219
4.124972
Solve this system for x: 4.124971897628305x + 2y = 8 1x + 3y = 9 FINAL:
0.578318
0.578318
linear_system
1
chirp
1
13.890625
null
220
3.960982
Solve this system for x: 3.960981935596778x + 2y = 8 1x + 3y = 9 FINAL:
0.607106
0.607106
linear_system
1
chirp
1
13.949219
null
221
3.871234
Solve this system for x: 3.8712336914219847x + 2y = 8 1x + 3y = 9 FINAL:
0.624109
0.624109
linear_system
1
chirp
1
14.007813
null
222
3.85181
Solve this system for x: 3.8518097749289475x + 2y = 8 1x + 3y = 9 FINAL:
0.627915
0.627915
linear_system
1
chirp
1
14.066406
null
223
3.886854
Solve this system for x: 3.88685363784324x + 2y = 8 1x + 3y = 9 FINAL:
0.621082
0.621082
linear_system
1
chirp
1
14.125
null
224
4
Solve this system for x: 4.000000000000062x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
chirp
1
14.183594
null
225
4.164918
Solve this system for x: 4.16491786055693x + 2y = 8 1x + 3y = 9 FINAL:
0.571714
0.571714
linear_system
1
chirp
1
14.242188
null
226
4.14819
Solve this system for x: 4.14819022507117x + 2y = 8 1x + 3y = 9 FINAL:
0.574461
0.574461
linear_system
1
chirp
1
14.300781
null
227
3.846967
Solve this system for x: 3.846966546875491x + 2y = 8 1x + 3y = 9 FINAL:
0.628872
0.628872
linear_system
1
chirp
1
14.359375
null
228
3.960982
Solve this system for x: 3.9609819355967906x + 2y = 8 1x + 3y = 9 FINAL:
0.607106
0.607106
linear_system
1
chirp
1
14.417969
null
229
4.156147
Solve this system for x: 4.156147445714376x + 2y = 8 1x + 3y = 9 FINAL:
0.573151
0.573151
linear_system
1
chirp
1
14.476563
null
230
3.811691
Solve this system for x: 3.8116911869633348x + 2y = 8 1x + 3y = 9 FINAL:
0.635925
0.635925
linear_system
1
chirp
1
14.535156
null
231
4.185701
Solve this system for x: 4.185701216094645x + 2y = 8 1x + 3y = 9 FINAL:
0.568338
0.568338
linear_system
1
chirp
1
14.59375
null
232
3.858579
Solve this system for x: 3.858578643762597x + 2y = 8 1x + 3y = 9 FINAL:
0.626584
0.626584
linear_system
1
chirp
1
14.652344
null
233
4.002454
Solve this system for x: 4.002454307657341x + 2y = 8 1x + 3y = 9 FINAL:
0.599559
0.599559
linear_system
1
chirp
1
14.710938
null
234
4.180798
Solve this system for x: 4.1807978586246035x + 2y = 8 1x + 3y = 9 FINAL:
0.569131
0.569131
linear_system
1
chirp
1
14.769531
null
235
3.903563
Solve this system for x: 3.903563245584052x + 2y = 8 1x + 3y = 9 FINAL:
0.617876
0.617876
linear_system
1
chirp
1
14.828125
null
236
3.803843
Solve this system for x: 3.8038429439193577x + 2y = 8 1x + 3y = 9 FINAL:
0.637516
0.637516
linear_system
1
chirp
1
14.886719
null
237
3.907892
Solve this system for x: 3.9078922578085313x + 2y = 8 1x + 3y = 9 FINAL:
0.617051
0.617051
linear_system
1
chirp
1
14.945313
null
238
4.009814
Solve this system for x: 4.009813534865442x + 2y = 8 1x + 3y = 9 FINAL:
0.598239
0.598239
linear_system
1
chirp
1
15.003906
null
239
4.041422
Solve this system for x: 4.041422275238459x + 2y = 8 1x + 3y = 9 FINAL:
0.592636
0.592636
linear_system
1
chirp
1
15.0625
null
240
4
Solve this system for x: 4.000000000000012x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
chirp
1
15.121094
null
241
3.890935
Solve this system for x: 3.8909350023155467x + 2y = 8 1x + 3y = 9 FINAL:
0.620296
0.620296
linear_system
1
chirp
1
15.179688
null
242
3.800241
Solve this system for x: 3.8002409087589744x + 2y = 8 1x + 3y = 9 FINAL:
0.638249
0.638249
linear_system
1
chirp
1
15.238281
null
243
3.939599
Solve this system for x: 3.939598810136159x + 2y = 8 1x + 3y = 9 FINAL:
0.611073
0.611073
linear_system
1
chirp
1
15.296875
null
244
4.196157
Solve this system for x: 4.196157056080625x + 2y = 8 1x + 3y = 9 FINAL:
0.566654
0.566654
linear_system
1
chirp
1
15.355469
null
245
3.944296
Solve this system for x: 3.9442960621231427x + 2y = 8 1x + 3y = 9 FINAL:
0.610197
0.610197
linear_system
1
chirp
1
15.414063
null
246
3.914489
Solve this system for x: 3.9144889813138084x + 2y = 8 1x + 3y = 9 FINAL:
0.615797
0.615797
linear_system
1
chirp
1
15.472656
null
247
4.143146
Solve this system for x: 4.143146165056818x + 2y = 8 1x + 3y = 9 FINAL:
0.575295
0.575295
linear_system
1
chirp
1
15.53125
null
248
3.858579
Solve this system for x: 3.8585786437627303x + 2y = 8 1x + 3y = 9 FINAL:
0.626584
0.626584
linear_system
1
chirp
1
15.589844
null
249
4.078798
Solve this system for x: 4.078798408012313x + 2y = 8 1x + 3y = 9 FINAL:
0.586144
0.586144
linear_system
1
chirp
1
15.648438
null
250
4.067378
Solve this system for x: 4.067377970678239x + 2y = 8 1x + 3y = 9 FINAL:
0.588112
0.588112
linear_system
1
chirp
1
15.707031
null
251
3.801219
Solve this system for x: 3.8012186059995576x + 2y = 8 1x + 3y = 9 FINAL:
0.63805
0.63805
linear_system
1
chirp
1
15.765625
null
252
4.039018
Solve this system for x: 4.039018064403467x + 2y = 8 1x + 3y = 9 FINAL:
0.593058
0.593058
linear_system
1
chirp
1
15.824219
null
253
4.199263
Solve this system for x: 4.19926252243657x + 2y = 8 1x + 3y = 9 FINAL:
0.566156
0.566156
linear_system
1
chirp
1
15.882813
null
254
4.134312
Solve this system for x: 4.134311790969384x + 2y = 8 1x + 3y = 9 FINAL:
0.57676
0.57676
linear_system
1
chirp
1
15.941406
null
255
4.036608
Solve this system for x: 4.036607977590843x + 2y = 8 1x + 3y = 9 FINAL:
0.593482
0.593482
linear_system
2
chirp
1
1
null
0
4
Solve this system for x: 4.0x + 1y = 10 2x + 4y = 12 FINAL:
2
2
linear_system
2
chirp
1
1.058594
null
1
4.036608
Solve this system for x: 4.036607977591028x + 1y = 10 2x + 4y = 12 FINAL:
1.979298
1.979298
linear_system
2
chirp
1
1.117188
null
2
4.134312
Solve this system for x: 4.134311790969403x + 1y = 10 2x + 4y = 12 FINAL:
1.926087
1.926087
linear_system
2
chirp
1
1.175781
null
3
4.199263
Solve this system for x: 4.199262522436555x + 1y = 10 2x + 4y = 12 FINAL:
1.892269
1.892269
linear_system
2
chirp
1
1.234375
null
4
4.039018
Solve this system for x: 4.039018064403225x + 1y = 10 2x + 4y = 12 FINAL:
1.97795
1.97795
linear_system
2
chirp
1
1.292969
null
5
3.801219
Solve this system for x: 3.8012186059995288x + 1y = 10 2x + 4y = 12 FINAL:
2.120429
2.120429
linear_system
2
chirp
1
1.351563
null
6
4.067378
Solve this system for x: 4.067377970678444x + 1y = 10 2x + 4y = 12 FINAL:
1.962225
1.962225
linear_system
2
chirp
1
1.410156
null
7
4.078798
Solve this system for x: 4.078798408012211x + 1y = 10 2x + 4y = 12 FINAL:
1.955964
1.955964
linear_system
2
chirp
1
1.46875
null
8
3.858579
Solve this system for x: 3.8585786437626903x + 1y = 10 2x + 4y = 12 FINAL:
2.084215
2.084215
linear_system
2
chirp
1
1.527344
null
9
4.143146
Solve this system for x: 4.143146165056764x + 1y = 10 2x + 4y = 12 FINAL:
1.921416
1.921416
linear_system
2
chirp
1
1.585938
null
10
3.914489
Solve this system for x: 3.9144889813139434x + 1y = 10 2x + 4y = 12 FINAL:
2.050087
2.050087
linear_system
2
chirp
1
1.644531
null
11
3.944296
Solve this system for x: 3.9442960621229903x + 1y = 10 2x + 4y = 12 FINAL:
2.032346
2.032346
linear_system
2
chirp
1
1.703125
null
12
4.196157
Solve this system for x: 4.196157056080646x + 1y = 10 2x + 4y = 12 FINAL:
1.893859
1.893859
linear_system
2
chirp
1
1.761719
null
13
3.939599
Solve this system for x: 3.9395988101361543x + 1y = 10 2x + 4y = 12 FINAL:
2.035121
2.035121
linear_system
2
chirp
1
1.820313
null
14
3.800241
Solve this system for x: 3.8002409087589655x + 1y = 10 2x + 4y = 12 FINAL:
2.121057
2.121057
linear_system
2
chirp
1
1.878906
null
15
3.890935
Solve this system for x: 3.890935002315593x + 1y = 10 2x + 4y = 12 FINAL:
2.064327
2.064327
linear_system
2
chirp
1
1.9375
null
16
4
Solve this system for x: 3.999999999999999x + 1y = 10 2x + 4y = 12 FINAL:
2
2
linear_system
2
chirp
1
1.996094
null
17
4.041422
Solve this system for x: 4.041422275238446x + 1y = 10 2x + 4y = 12 FINAL:
1.976607
1.976607
linear_system
2
chirp
1
2.054688
null
18
4.009814
Solve this system for x: 4.009813534865484x + 1y = 10 2x + 4y = 12 FINAL:
1.994408
1.994408
linear_system
2
chirp
1
2.113281
null
19
3.907892
Solve this system for x: 3.9078922578083515x + 1y = 10 2x + 4y = 12 FINAL:
2.054056
2.054056
linear_system
2
chirp
1
2.171875
null
20
3.803843
Solve this system for x: 3.8038429439193537x + 1y = 10 2x + 4y = 12 FINAL:
2.118745
2.118745
linear_system
2
chirp
1
2.230469
null
21
3.903563
Solve this system for x: 3.903563245584176x + 1y = 10 2x + 4y = 12 FINAL:
2.056668
2.056668
linear_system
2
chirp
1
2.289063
null
22
4.180798
Solve this system for x: 4.180797858624688x + 1y = 10 2x + 4y = 12 FINAL:
1.901762
1.901762
linear_system
2
chirp
1
2.347656
null
23
4.002454
Solve this system for x: 4.002454307657147x + 1y = 10 2x + 4y = 12 FINAL:
1.998599
1.998599
linear_system
2
chirp
1
2.40625
null
24
3.858579
Solve this system for x: 3.8585786437626903x + 1y = 10 2x + 4y = 12 FINAL:
2.084215
2.084215
linear_system
2
chirp
1
2.464844
null
25
4.185701
Solve this system for x: 4.185701216094644x + 1y = 10 2x + 4y = 12 FINAL:
1.899232
1.899232
linear_system
2
chirp
1
2.523438
null
26
3.811691
Solve this system for x: 3.811691186963395x + 1y = 10 2x + 4y = 12 FINAL:
2.113724
2.113724
linear_system
2
chirp
1
2.582031
null
27
4.156147
Solve this system for x: 4.156147445714423x + 1y = 10 2x + 4y = 12 FINAL:
1.914584
1.914584
linear_system
2
chirp
1
2.640625
null
28
3.960982
Solve this system for x: 3.9609819355967666x + 1y = 10 2x + 4y = 12 FINAL:
2.022547
2.022547
linear_system
2
chirp
1
2.699219
null
29
3.846967
Solve this system for x: 3.8469665468755103x + 1y = 10 2x + 4y = 12 FINAL:
2.091446
2.091446
linear_system
2
chirp
1
2.757813
null
30
4.14819
Solve this system for x: 4.148190225070995x + 1y = 10 2x + 4y = 12 FINAL:
1.91876
1.91876
linear_system
2
chirp
1
2.816406
null
31
4.164918
Solve this system for x: 4.164917860557003x + 1y = 10 2x + 4y = 12 FINAL:
1.910002
1.910002
linear_system
2
chirp
1
2.875
null
32
4
Solve this system for x: 3.9999999999999942x + 1y = 10 2x + 4y = 12 FINAL:
2
2
linear_system
2
chirp
1
2.933594
null
33
3.886854
Solve this system for x: 3.8868536378432736x + 1y = 10 2x + 4y = 12 FINAL:
2.066815
2.066815
linear_system
2
chirp
1
2.992188
null
34
3.85181
Solve this system for x: 3.8518097749290092x + 1y = 10 2x + 4y = 12 FINAL:
2.088424
2.088424
linear_system
2
chirp
1
3.050781
null
35
3.871234
Solve this system for x: 3.871233691422043x + 1y = 10 2x + 4y = 12 FINAL:
2.076391
2.076391
linear_system
2
chirp
1
3.109375
null
36
3.960982
Solve this system for x: 3.9609819355967697x + 1y = 10 2x + 4y = 12 FINAL:
2.022547
2.022547
linear_system
2
chirp
1
3.167969
null
37
4.124972
Solve this system for x: 4.124971897628472x + 1y = 10 2x + 4y = 12 FINAL:
1.931049
1.931049
linear_system
2
chirp
1
3.226563
null
38
4.188309
Solve this system for x: 4.188308813036605x + 1y = 10 2x + 4y = 12 FINAL:
1.897889
1.897889
linear_system
2
chirp
1
3.285156
null
39
3.925737
Solve this system for x: 3.925736561209639x + 1y = 10 2x + 4y = 12 FINAL:
2.043356
2.043356
linear_system
2
chirp
1
3.34375
null
40
3.858579
Solve this system for x: 3.8585786437626868x + 1y = 10 2x + 4y = 12 FINAL:
2.084215
2.084215
linear_system
2
chirp
1
3.402344
null
41
4.199985
Solve this system for x: 4.199984940367829x + 1y = 10 2x + 4y = 12 FINAL:
1.8919
1.8919
linear_system
2
chirp
1
3.460938
null
42
3.819202
Solve this system for x: 3.8192021413753108x + 1y = 10 2x + 4y = 12 FINAL:
2.108941
2.108941
linear_system
2
chirp
1
3.519531
null
43
4.175214
Solve this system for x: 4.1752140188390845x + 1y = 10 2x + 4y = 12 FINAL:
1.904651
1.904651
linear_system
2
chirp
1
3.578125
null
44
3.803843
Solve this system for x: 3.803842943919353x + 1y = 10 2x + 4y = 12 FINAL:
2.118745
2.118745
linear_system
2
chirp
1
3.636719
null
45
4.177528
Solve this system for x: 4.1775279240805725x + 1y = 10 2x + 4y = 12 FINAL:
1.903453
1.903453
linear_system
2
chirp
1
3.695313
null
46
3.990186
Solve this system for x: 3.9901864651345216x + 1y = 10 2x + 4y = 12 FINAL:
2.005624
2.005624
linear_system
2
chirp
1
3.753906
null
47
3.804337
Solve this system for x: 3.804336525856078x + 1y = 10 2x + 4y = 12 FINAL:
2.118428
2.118428