Datasets:
ai-metrology-lab
/
MathBode-LinearSolve

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xet
Community
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
35
50
ground_truth
float64
3.56
10.3
symbolic_baseline_answer
float64
3.56
10.3
linear_solve
1
chirp
1
12.953125
null
204
4.196157
Solve for x: 4.1961570560806125x + 5 = 41 FINAL:
8.579278
8.579278
linear_solve
1
chirp
1
13.011719
null
205
4.190661
Solve for x: 4.190661208070794x + 5 = 41 FINAL:
8.59053
8.59053
linear_solve
1
chirp
1
13.070313
null
206
4.199759
Solve for x: 4.199759091241032x + 5 = 41 FINAL:
8.57192
8.57192
linear_solve
1
chirp
1
13.128906
null
207
4.167645
Solve for x: 4.167644941110919x + 5 = 41 FINAL:
8.637972
8.637972
linear_solve
1
chirp
1
13.1875
null
208
4
Solve for x: 4.000000000000065x + 5 = 41 FINAL:
9
9
linear_solve
1
chirp
1
13.246094
null
209
3.804337
Solve for x: 3.804336525856107x + 5 = 41 FINAL:
9.462885
9.462885
linear_solve
1
chirp
1
13.304688
null
210
3.990186
Solve for x: 3.990186465134331x + 5 = 41 FINAL:
9.022135
9.022135
linear_solve
1
chirp
1
13.363281
null
211
4.177528
Solve for x: 4.177527924080642x + 5 = 41 FINAL:
8.617537
8.617537
linear_solve
1
chirp
1
13.421875
null
212
3.803843
Solve for x: 3.8038429439193653x + 5 = 41 FINAL:
9.464113
9.464113
linear_solve
1
chirp
1
13.480469
null
213
4.175214
Solve for x: 4.175214018839128x + 5 = 41 FINAL:
8.622312
8.622312
linear_solve
1
chirp
1
13.539063
null
214
3.819202
Solve for x: 3.819202141375333x + 5 = 41 FINAL:
9.426053
9.426053
linear_solve
1
chirp
1
13.597656
null
215
4.199985
Solve for x: 4.199984940367827x + 5 = 41 FINAL:
8.571459
8.571459
linear_solve
1
chirp
1
13.65625
null
216
3.858579
Solve for x: 3.858578643762579x + 5 = 41 FINAL:
9.32986
9.32986
linear_solve
1
chirp
1
13.714844
null
217
3.925737
Solve for x: 3.9257365612097432x + 5 = 41 FINAL:
9.170254
9.170254
linear_solve
1
chirp
1
13.773438
null
218
4.188309
Solve for x: 4.188308813036611x + 5 = 41 FINAL:
8.595355
8.595355
linear_solve
1
chirp
1
13.832031
null
219
4.124972
Solve for x: 4.124971897628305x + 5 = 41 FINAL:
8.727332
8.727332
linear_solve
1
chirp
1
13.890625
null
220
3.960982
Solve for x: 3.960981935596778x + 5 = 41 FINAL:
9.088655
9.088655
linear_solve
1
chirp
1
13.949219
null
221
3.871234
Solve for x: 3.8712336914219847x + 5 = 41 FINAL:
9.299361
9.299361
linear_solve
1
chirp
1
14.007813
null
222
3.85181
Solve for x: 3.8518097749289475x + 5 = 41 FINAL:
9.346256
9.346256
linear_solve
1
chirp
1
14.066406
null
223
3.886854
Solve for x: 3.88685363784324x + 5 = 41 FINAL:
9.26199
9.26199
linear_solve
1
chirp
1
14.125
null
224
4
Solve for x: 4.000000000000062x + 5 = 41 FINAL:
9
9
linear_solve
1
chirp
1
14.183594
null
225
4.164918
Solve for x: 4.16491786055693x + 5 = 41 FINAL:
8.643628
8.643628
linear_solve
1
chirp
1
14.242188
null
226
4.14819
Solve for x: 4.14819022507117x + 5 = 41 FINAL:
8.678483
8.678483
linear_solve
1
chirp
1
14.300781
null
227
3.846967
Solve for x: 3.846966546875491x + 5 = 41 FINAL:
9.358023
9.358023
linear_solve
1
chirp
1
14.359375
null
228
3.960982
Solve for x: 3.9609819355967906x + 5 = 41 FINAL:
9.088655
9.088655
linear_solve
1
chirp
1
14.417969
null
229
4.156147
Solve for x: 4.156147445714376x + 5 = 41 FINAL:
8.661868
8.661868
linear_solve
1
chirp
1
14.476563
null
230
3.811691
Solve for x: 3.8116911869633348x + 5 = 41 FINAL:
9.444627
9.444627
linear_solve
1
chirp
1
14.535156
null
231
4.185701
Solve for x: 4.185701216094645x + 5 = 41 FINAL:
8.600709
8.600709
linear_solve
1
chirp
1
14.59375
null
232
3.858579
Solve for x: 3.858578643762597x + 5 = 41 FINAL:
9.32986
9.32986
linear_solve
1
chirp
1
14.652344
null
233
4.002454
Solve for x: 4.002454307657341x + 5 = 41 FINAL:
8.994481
8.994481
linear_solve
1
chirp
1
14.710938
null
234
4.180798
Solve for x: 4.1807978586246035x + 5 = 41 FINAL:
8.610797
8.610797
linear_solve
1
chirp
1
14.769531
null
235
3.903563
Solve for x: 3.903563245584052x + 5 = 41 FINAL:
9.222343
9.222343
linear_solve
1
chirp
1
14.828125
null
236
3.803843
Solve for x: 3.8038429439193577x + 5 = 41 FINAL:
9.464113
9.464113
linear_solve
1
chirp
1
14.886719
null
237
3.907892
Solve for x: 3.9078922578085313x + 5 = 41 FINAL:
9.212127
9.212127
linear_solve
1
chirp
1
14.945313
null
238
4.009814
Solve for x: 4.009813534865442x + 5 = 41 FINAL:
8.977974
8.977974
linear_solve
1
chirp
1
15.003906
null
239
4.041422
Solve for x: 4.041422275238459x + 5 = 41 FINAL:
8.907755
8.907755
linear_solve
1
chirp
1
15.0625
null
240
4
Solve for x: 4.000000000000012x + 5 = 41 FINAL:
9
9
linear_solve
1
chirp
1
15.121094
null
241
3.890935
Solve for x: 3.8909350023155467x + 5 = 41 FINAL:
9.252275
9.252275
linear_solve
1
chirp
1
15.179688
null
242
3.800241
Solve for x: 3.8002409087589744x + 5 = 41 FINAL:
9.473084
9.473084
linear_solve
1
chirp
1
15.238281
null
243
3.939599
Solve for x: 3.939598810136159x + 5 = 41 FINAL:
9.137986
9.137986
linear_solve
1
chirp
1
15.296875
null
244
4.196157
Solve for x: 4.196157056080625x + 5 = 41 FINAL:
8.579278
8.579278
linear_solve
1
chirp
1
15.355469
null
245
3.944296
Solve for x: 3.9442960621231427x + 5 = 41 FINAL:
9.127104
9.127104
linear_solve
1
chirp
1
15.414063
null
246
3.914489
Solve for x: 3.9144889813138084x + 5 = 41 FINAL:
9.196603
9.196603
linear_solve
1
chirp
1
15.472656
null
247
4.143146
Solve for x: 4.143146165056818x + 5 = 41 FINAL:
8.689049
8.689049
linear_solve
1
chirp
1
15.53125
null
248
3.858579
Solve for x: 3.8585786437627303x + 5 = 41 FINAL:
9.32986
9.32986
linear_solve
1
chirp
1
15.589844
null
249
4.078798
Solve for x: 4.078798408012313x + 5 = 41 FINAL:
8.826129
8.826129
linear_solve
1
chirp
1
15.648438
null
250
4.067378
Solve for x: 4.067377970678239x + 5 = 41 FINAL:
8.850911
8.850911
linear_solve
1
chirp
1
15.707031
null
251
3.801219
Solve for x: 3.8012186059995576x + 5 = 41 FINAL:
9.470647
9.470647
linear_solve
1
chirp
1
15.765625
null
252
4.039018
Solve for x: 4.039018064403467x + 5 = 41 FINAL:
8.913057
8.913057
linear_solve
1
chirp
1
15.824219
null
253
4.199263
Solve for x: 4.19926252243657x + 5 = 41 FINAL:
8.572934
8.572934
linear_solve
1
chirp
1
15.882813
null
254
4.134312
Solve for x: 4.134311790969384x + 5 = 41 FINAL:
8.707616
8.707616
linear_solve
1
chirp
1
15.941406
null
255
4.036608
Solve for x: 4.036607977590843x + 5 = 41 FINAL:
8.918379
8.918379
linear_solve
2
chirp
1
1
null
0
4
Solve for x: 4.0x + 2 = 18 FINAL:
4
4
linear_solve
2
chirp
1
1.058594
null
1
4.036608
Solve for x: 4.036607977591028x + 2 = 18 FINAL:
3.963724
3.963724
linear_solve
2
chirp
1
1.117188
null
2
4.134312
Solve for x: 4.134311790969403x + 2 = 18 FINAL:
3.870052
3.870052
linear_solve
2
chirp
1
1.175781
null
3
4.199263
Solve for x: 4.199262522436555x + 2 = 18 FINAL:
3.810193
3.810193
linear_solve
2
chirp
1
1.234375
null
4
4.039018
Solve for x: 4.039018064403225x + 2 = 18 FINAL:
3.961359
3.961359
linear_solve
2
chirp
1
1.292969
null
5
3.801219
Solve for x: 3.8012186059995288x + 2 = 18 FINAL:
4.209176
4.209176
linear_solve
2
chirp
1
1.351563
null
6
4.067378
Solve for x: 4.067377970678444x + 2 = 18 FINAL:
3.933738
3.933738
linear_solve
2
chirp
1
1.410156
null
7
4.078798
Solve for x: 4.078798408012211x + 2 = 18 FINAL:
3.922724
3.922724
linear_solve
2
chirp
1
1.46875
null
8
3.858579
Solve for x: 3.8585786437626903x + 2 = 18 FINAL:
4.146605
4.146605
linear_solve
2
chirp
1
1.527344
null
9
4.143146
Solve for x: 4.143146165056764x + 2 = 18 FINAL:
3.8618
3.8618
linear_solve
2
chirp
1
1.585938
null
10
3.914489
Solve for x: 3.9144889813139434x + 2 = 18 FINAL:
4.087379
4.087379
linear_solve
2
chirp
1
1.644531
null
11
3.944296
Solve for x: 3.9442960621229903x + 2 = 18 FINAL:
4.056491
4.056491
linear_solve
2
chirp
1
1.703125
null
12
4.196157
Solve for x: 4.196157056080646x + 2 = 18 FINAL:
3.813013
3.813013
linear_solve
2
chirp
1
1.761719
null
13
3.939599
Solve for x: 3.9395988101361543x + 2 = 18 FINAL:
4.061327
4.061327
linear_solve
2
chirp
1
1.820313
null
14
3.800241
Solve for x: 3.8002409087589655x + 2 = 18 FINAL:
4.210259
4.210259
linear_solve
2
chirp
1
1.878906
null
15
3.890935
Solve for x: 3.890935002315593x + 2 = 18 FINAL:
4.112122
4.112122
linear_solve
2
chirp
1
1.9375
null
16
4
Solve for x: 3.999999999999999x + 2 = 18 FINAL:
4
4
linear_solve
2
chirp
1
1.996094
null
17
4.041422
Solve for x: 4.041422275238446x + 2 = 18 FINAL:
3.959002
3.959002
linear_solve
2
chirp
1
2.054688
null
18
4.009814
Solve for x: 4.009813534865484x + 2 = 18 FINAL:
3.99021
3.99021
linear_solve
2
chirp
1
2.113281
null
19
3.907892
Solve for x: 3.9078922578083515x + 2 = 18 FINAL:
4.094279
4.094279
linear_solve
2
chirp
1
2.171875
null
20
3.803843
Solve for x: 3.8038429439193537x + 2 = 18 FINAL:
4.206273
4.206273
linear_solve
2
chirp
1
2.230469
null
21
3.903563
Solve for x: 3.903563245584176x + 2 = 18 FINAL:
4.098819
4.098819
linear_solve
2
chirp
1
2.289063
null
22
4.180798
Solve for x: 4.180797858624688x + 2 = 18 FINAL:
3.827021
3.827021
linear_solve
2
chirp
1
2.347656
null
23
4.002454
Solve for x: 4.002454307657147x + 2 = 18 FINAL:
3.997547
3.997547
linear_solve
2
chirp
1
2.40625
null
24
3.858579
Solve for x: 3.8585786437626903x + 2 = 18 FINAL:
4.146605
4.146605
linear_solve
2
chirp
1
2.464844
null
25
4.185701
Solve for x: 4.185701216094644x + 2 = 18 FINAL:
3.822538
3.822538
linear_solve
2
chirp
1
2.523438
null
26
3.811691
Solve for x: 3.811691186963395x + 2 = 18 FINAL:
4.197612
4.197612
linear_solve
2
chirp
1
2.582031
null
27
4.156147
Solve for x: 4.156147445714423x + 2 = 18 FINAL:
3.849719
3.849719
linear_solve
2
chirp
1
2.640625
null
28
3.960982
Solve for x: 3.9609819355967666x + 2 = 18 FINAL:
4.039402
4.039402
linear_solve
2
chirp
1
2.699219
null
29
3.846967
Solve for x: 3.8469665468755103x + 2 = 18 FINAL:
4.159121
4.159121
linear_solve
2
chirp
1
2.757813
null
30
4.14819
Solve for x: 4.148190225070995x + 2 = 18 FINAL:
3.857104
3.857104
linear_solve
2
chirp
1
2.816406
null
31
4.164918
Solve for x: 4.164917860557003x + 2 = 18 FINAL:
3.841612
3.841612
linear_solve
2
chirp
1
2.875
null
32
4
Solve for x: 3.9999999999999942x + 2 = 18 FINAL:
4
4
linear_solve
2
chirp
1
2.933594
null
33
3.886854
Solve for x: 3.8868536378432736x + 2 = 18 FINAL:
4.11644
4.11644
linear_solve
2
chirp
1
2.992188
null
34
3.85181
Solve for x: 3.8518097749290092x + 2 = 18 FINAL:
4.153892
4.153892
linear_solve
2
chirp
1
3.050781
null
35
3.871234
Solve for x: 3.871233691422043x + 2 = 18 FINAL:
4.133049
4.133049
linear_solve
2
chirp
1
3.109375
null
36
3.960982
Solve for x: 3.9609819355967697x + 2 = 18 FINAL:
4.039402
4.039402
linear_solve
2
chirp
1
3.167969
null
37
4.124972
Solve for x: 4.124971897628472x + 2 = 18 FINAL:
3.878814
3.878814
linear_solve
2
chirp
1
3.226563
null
38
4.188309
Solve for x: 4.188308813036605x + 2 = 18 FINAL:
3.820158
3.820158
linear_solve
2
chirp
1
3.285156
null
39
3.925737
Solve for x: 3.925736561209639x + 2 = 18 FINAL:
4.075668
4.075668
linear_solve
2
chirp
1
3.34375
null
40
3.858579
Solve for x: 3.8585786437626868x + 2 = 18 FINAL:
4.146605
4.146605
linear_solve
2
chirp
1
3.402344
null
41
4.199985
Solve for x: 4.199984940367829x + 2 = 18 FINAL:
3.809537
3.809537
linear_solve
2
chirp
1
3.460938
null
42
3.819202
Solve for x: 3.8192021413753108x + 2 = 18 FINAL:
4.189357
4.189357
linear_solve
2
chirp
1
3.519531
null
43
4.175214
Solve for x: 4.1752140188390845x + 2 = 18 FINAL:
3.832139
3.832139
linear_solve
2
chirp
1
3.578125
null
44
3.803843
Solve for x: 3.803842943919353x + 2 = 18 FINAL:
4.206273
4.206273
linear_solve
2
chirp
1
3.636719
null
45
4.177528
Solve for x: 4.1775279240805725x + 2 = 18 FINAL:
3.830016
3.830016
linear_solve
2
chirp
1
3.695313
null
46
3.990186
Solve for x: 3.9901864651345216x + 2 = 18 FINAL:
4.009838
4.009838
linear_solve
2
chirp
1
3.753906
null
47
3.804337
Solve for x: 3.804336525856078x + 2 = 18 FINAL:
4.205727
4.205727