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
0
chirp
1
10.375
null
160
4
Solve this system for x: 3.9999999999999867x + 1y = 7 1x + 5y = 11 FINAL:
1.263158
1.263158
linear_system
0
chirp
1
10.433594
null
161
4.113146
Solve this system for x: 4.113146362156703x + 1y = 7 1x + 5y = 11 FINAL:
1.226634
1.226634
linear_system
0
chirp
1
10.492188
null
162
3.85181
Solve this system for x: 3.851809774928969x + 1y = 7 1x + 5y = 11 FINAL:
1.314417
1.314417
linear_system
0
chirp
1
10.550781
null
163
4.128766
Solve this system for x: 4.12876630857802x + 1y = 7 1x + 5y = 11 FINAL:
1.221758
1.221758
linear_system
0
chirp
1
10.609375
null
164
3.960982
Solve this system for x: 3.9609819355967355x + 1y = 7 1x + 5y = 11 FINAL:
1.276262
1.276262
linear_system
0
chirp
1
10.667969
null
165
3.875028
Solve this system for x: 3.8750281023716155x + 1y = 7 1x + 5y = 11 FINAL:
1.306112
1.306112
linear_system
0
chirp
1
10.726563
null
166
4.188309
Solve this system for x: 4.188308813036651x + 1y = 7 1x + 5y = 11 FINAL:
1.203518
1.203518
linear_system
0
chirp
1
10.785156
null
167
4.074263
Solve this system for x: 4.074263438790282x + 1y = 7 1x + 5y = 11 FINAL:
1.238945
1.238945
linear_system
0
chirp
1
10.84375
null
168
3.858579
Solve this system for x: 3.8585786437626997x + 1y = 7 1x + 5y = 11 FINAL:
1.311985
1.311985
linear_system
0
chirp
1
10.902344
null
169
3.800015
Solve this system for x: 3.8000150596321713x + 1y = 7 1x + 5y = 11 FINAL:
1.333328
1.333328
linear_system
0
chirp
1
10.960938
null
170
3.819202
Solve this system for x: 3.8192021413753694x + 1y = 7 1x + 5y = 11 FINAL:
1.326259
1.326259
linear_system
0
chirp
1
11.019531
null
171
3.824786
Solve this system for x: 3.824785981160932x + 1y = 7 1x + 5y = 11 FINAL:
1.324216
1.324216
linear_system
0
chirp
1
11.078125
null
172
3.803843
Solve this system for x: 3.8038429439193613x + 1y = 7 1x + 5y = 11 FINAL:
1.331912
1.331912
linear_system
0
chirp
1
11.136719
null
173
3.822472
Solve this system for x: 3.822472075919435x + 1y = 7 1x + 5y = 11 FINAL:
1.325062
1.325062
linear_system
0
chirp
1
11.195313
null
174
3.990186
Solve this system for x: 3.9901864651344594x + 1y = 7 1x + 5y = 11 FINAL:
1.266428
1.266428
linear_system
0
chirp
1
11.253906
null
175
4.195663
Solve this system for x: 4.195663474143912x + 1y = 7 1x + 5y = 11 FINAL:
1.201302
1.201302
linear_system
0
chirp
1
11.3125
null
176
4
Solve this system for x: 4.0000000000000115x + 1y = 7 1x + 5y = 11 FINAL:
1.263158
1.263158
linear_system
0
chirp
1
11.371094
null
177
3.832355
Solve this system for x: 3.8323550588889903x + 1y = 7 1x + 5y = 11 FINAL:
1.321457
1.321457
linear_system
0
chirp
1
11.429688
null
178
4.199759
Solve this system for x: 4.19975909124103x + 1y = 7 1x + 5y = 11 FINAL:
1.200072
1.200072
linear_system
0
chirp
1
11.488281
null
179
3.809339
Solve this system for x: 3.809338791929169x + 1y = 7 1x + 5y = 11 FINAL:
1.329883
1.329883
linear_system
0
chirp
1
11.546875
null
180
4.196157
Solve this system for x: 4.196157056080629x + 1y = 7 1x + 5y = 11 FINAL:
1.201154
1.201154
linear_system
0
chirp
1
11.605469
null
181
3.807914
Solve this system for x: 3.807913896116862x + 1y = 7 1x + 5y = 11 FINAL:
1.330409
1.330409
linear_system
0
chirp
1
11.664063
null
182
4.085511
Solve this system for x: 4.0855110186860815x + 1y = 7 1x + 5y = 11 FINAL:
1.235359
1.235359
linear_system
0
chirp
1
11.722656
null
183
4.139675
Solve this system for x: 4.139675249881732x + 1y = 7 1x + 5y = 11 FINAL:
1.218375
1.218375
linear_system
0
chirp
1
11.78125
null
184
3.858579
Solve this system for x: 3.85857864376263x + 1y = 7 1x + 5y = 11 FINAL:
1.311985
1.311985
linear_system
0
chirp
1
11.839844
null
185
3.816177
Solve this system for x: 3.816177229661997x + 1y = 7 1x + 5y = 11 FINAL:
1.327369
1.327369
linear_system
0
chirp
1
11.898438
null
186
3.932622
Solve this system for x: 3.9326220293216294x + 1y = 7 1x + 5y = 11 FINAL:
1.285959
1.285959
linear_system
0
chirp
1
11.957031
null
187
4.022044
Solve this system for x: 4.022044441458848x + 1y = 7 1x + 5y = 11 FINAL:
1.255872
1.255872
linear_system
0
chirp
1
12.015625
null
188
4.039018
Solve this system for x: 4.039018064403231x + 1y = 7 1x + 5y = 11 FINAL:
1.25032
1.25032
linear_system
0
chirp
1
12.074219
null
189
3.982841
Solve this system for x: 3.9828405375311697x + 1y = 7 1x + 5y = 11 FINAL:
1.268888
1.268888
linear_system
0
chirp
1
12.132813
null
190
3.865688
Solve this system for x: 3.865688209030633x + 1y = 7 1x + 5y = 11 FINAL:
1.30944
1.30944
linear_system
0
chirp
1
12.191406
null
191
3.803379
Solve this system for x: 3.8033789025137605x + 1y = 7 1x + 5y = 11 FINAL:
1.332083
1.332083
linear_system
0
chirp
1
12.25
null
192
4
Solve this system for x: 3.9999999999999716x + 1y = 7 1x + 5y = 11 FINAL:
1.263158
1.263158
linear_system
0
chirp
1
12.308594
null
193
4.196621
Solve this system for x: 4.196621097486246x + 1y = 7 1x + 5y = 11 FINAL:
1.201015
1.201015
linear_system
0
chirp
1
12.367188
null
194
3.865688
Solve this system for x: 3.8656882090306883x + 1y = 7 1x + 5y = 11 FINAL:
1.30944
1.30944
linear_system
0
chirp
1
12.425781
null
195
4.017159
Solve this system for x: 4.017159462468718x + 1y = 7 1x + 5y = 11 FINAL:
1.25748
1.25748
linear_system
0
chirp
1
12.484375
null
196
4.039018
Solve this system for x: 4.039018064403199x + 1y = 7 1x + 5y = 11 FINAL:
1.25032
1.25032
linear_system
0
chirp
1
12.542969
null
197
3.977956
Solve this system for x: 3.9779555585411464x + 1y = 7 1x + 5y = 11 FINAL:
1.270528
1.270528
linear_system
0
chirp
1
12.601563
null
198
3.932622
Solve this system for x: 3.9326220293216694x + 1y = 7 1x + 5y = 11 FINAL:
1.285959
1.285959
linear_system
0
chirp
1
12.660156
null
199
4.183823
Solve this system for x: 4.183822770337971x + 1y = 7 1x + 5y = 11 FINAL:
1.204873
1.204873
linear_system
0
chirp
1
12.71875
null
200
3.858579
Solve this system for x: 3.8585786437626757x + 1y = 7 1x + 5y = 11 FINAL:
1.311985
1.311985
linear_system
0
chirp
1
12.777344
null
201
3.860325
Solve this system for x: 3.8603247501183793x + 1y = 7 1x + 5y = 11 FINAL:
1.311359
1.311359
linear_system
0
chirp
1
12.835938
null
202
4.085511
Solve this system for x: 4.085511018686091x + 1y = 7 1x + 5y = 11 FINAL:
1.235359
1.235359
linear_system
0
chirp
1
12.894531
null
203
4.192086
Solve this system for x: 4.192086103883152x + 1y = 7 1x + 5y = 11 FINAL:
1.202379
1.202379
linear_system
0
chirp
1
12.953125
null
204
4.196157
Solve this system for x: 4.1961570560806125x + 1y = 7 1x + 5y = 11 FINAL:
1.201154
1.201154
linear_system
0
chirp
1
13.011719
null
205
4.190661
Solve this system for x: 4.190661208070794x + 1y = 7 1x + 5y = 11 FINAL:
1.202808
1.202808
linear_system
0
chirp
1
13.070313
null
206
4.199759
Solve this system for x: 4.199759091241032x + 1y = 7 1x + 5y = 11 FINAL:
1.200072
1.200072
linear_system
0
chirp
1
13.128906
null
207
4.167645
Solve this system for x: 4.167644941110919x + 1y = 7 1x + 5y = 11 FINAL:
1.209786
1.209786
linear_system
0
chirp
1
13.1875
null
208
4
Solve this system for x: 4.000000000000065x + 1y = 7 1x + 5y = 11 FINAL:
1.263158
1.263158
linear_system
0
chirp
1
13.246094
null
209
3.804337
Solve this system for x: 3.804336525856107x + 1y = 7 1x + 5y = 11 FINAL:
1.331729
1.331729
linear_system
0
chirp
1
13.304688
null
210
3.990186
Solve this system for x: 3.990186465134331x + 1y = 7 1x + 5y = 11 FINAL:
1.266428
1.266428
linear_system
0
chirp
1
13.363281
null
211
4.177528
Solve this system for x: 4.177527924080642x + 1y = 7 1x + 5y = 11 FINAL:
1.20678
1.20678
linear_system
0
chirp
1
13.421875
null
212
3.803843
Solve this system for x: 3.8038429439193653x + 1y = 7 1x + 5y = 11 FINAL:
1.331912
1.331912
linear_system
0
chirp
1
13.480469
null
213
4.175214
Solve this system for x: 4.175214018839128x + 1y = 7 1x + 5y = 11 FINAL:
1.207482
1.207482
linear_system
0
chirp
1
13.539063
null
214
3.819202
Solve this system for x: 3.819202141375333x + 1y = 7 1x + 5y = 11 FINAL:
1.326259
1.326259
linear_system
0
chirp
1
13.597656
null
215
4.199985
Solve this system for x: 4.199984940367827x + 1y = 7 1x + 5y = 11 FINAL:
1.200005
1.200005
linear_system
0
chirp
1
13.65625
null
216
3.858579
Solve this system for x: 3.858578643762579x + 1y = 7 1x + 5y = 11 FINAL:
1.311985
1.311985
linear_system
0
chirp
1
13.714844
null
217
3.925737
Solve this system for x: 3.9257365612097432x + 1y = 7 1x + 5y = 11 FINAL:
1.288336
1.288336
linear_system
0
chirp
1
13.773438
null
218
4.188309
Solve this system for x: 4.188308813036611x + 1y = 7 1x + 5y = 11 FINAL:
1.203518
1.203518
linear_system
0
chirp
1
13.832031
null
219
4.124972
Solve this system for x: 4.124971897628305x + 1y = 7 1x + 5y = 11 FINAL:
1.222939
1.222939
linear_system
0
chirp
1
13.890625
null
220
3.960982
Solve this system for x: 3.960981935596778x + 1y = 7 1x + 5y = 11 FINAL:
1.276262
1.276262
linear_system
0
chirp
1
13.949219
null
221
3.871234
Solve this system for x: 3.8712336914219847x + 1y = 7 1x + 5y = 11 FINAL:
1.307462
1.307462
linear_system
0
chirp
1
14.007813
null
222
3.85181
Solve this system for x: 3.8518097749289475x + 1y = 7 1x + 5y = 11 FINAL:
1.314417
1.314417
linear_system
0
chirp
1
14.066406
null
223
3.886854
Solve this system for x: 3.88685363784324x + 1y = 7 1x + 5y = 11 FINAL:
1.301923
1.301923
linear_system
0
chirp
1
14.125
null
224
4
Solve this system for x: 4.000000000000062x + 1y = 7 1x + 5y = 11 FINAL:
1.263158
1.263158
linear_system
0
chirp
1
14.183594
null
225
4.164918
Solve this system for x: 4.16491786055693x + 1y = 7 1x + 5y = 11 FINAL:
1.210618
1.210618
linear_system
0
chirp
1
14.242188
null
226
4.14819
Solve this system for x: 4.14819022507117x + 1y = 7 1x + 5y = 11 FINAL:
1.215747
1.215747
linear_system
0
chirp
1
14.300781
null
227
3.846967
Solve this system for x: 3.846966546875491x + 1y = 7 1x + 5y = 11 FINAL:
1.316162
1.316162
linear_system
0
chirp
1
14.359375
null
228
3.960982
Solve this system for x: 3.9609819355967906x + 1y = 7 1x + 5y = 11 FINAL:
1.276262
1.276262
linear_system
0
chirp
1
14.417969
null
229
4.156147
Solve this system for x: 4.156147445714376x + 1y = 7 1x + 5y = 11 FINAL:
1.213302
1.213302
linear_system
0
chirp
1
14.476563
null
230
3.811691
Solve this system for x: 3.8116911869633348x + 1y = 7 1x + 5y = 11 FINAL:
1.329017
1.329017
linear_system
0
chirp
1
14.535156
null
231
4.185701
Solve this system for x: 4.185701216094645x + 1y = 7 1x + 5y = 11 FINAL:
1.204305
1.204305
linear_system
0
chirp
1
14.59375
null
232
3.858579
Solve this system for x: 3.858578643762597x + 1y = 7 1x + 5y = 11 FINAL:
1.311985
1.311985
linear_system
0
chirp
1
14.652344
null
233
4.002454
Solve this system for x: 4.002454307657341x + 1y = 7 1x + 5y = 11 FINAL:
1.262343
1.262343
linear_system
0
chirp
1
14.710938
null
234
4.180798
Solve this system for x: 4.1807978586246035x + 1y = 7 1x + 5y = 11 FINAL:
1.205788
1.205788
linear_system
0
chirp
1
14.769531
null
235
3.903563
Solve this system for x: 3.903563245584052x + 1y = 7 1x + 5y = 11 FINAL:
1.296049
1.296049
linear_system
0
chirp
1
14.828125
null
236
3.803843
Solve this system for x: 3.8038429439193577x + 1y = 7 1x + 5y = 11 FINAL:
1.331912
1.331912
linear_system
0
chirp
1
14.886719
null
237
3.907892
Solve this system for x: 3.9078922578085313x + 1y = 7 1x + 5y = 11 FINAL:
1.294536
1.294536
linear_system
0
chirp
1
14.945313
null
238
4.009814
Solve this system for x: 4.009813534865442x + 1y = 7 1x + 5y = 11 FINAL:
1.259904
1.259904
linear_system
0
chirp
1
15.003906
null
239
4.041422
Solve this system for x: 4.041422275238459x + 1y = 7 1x + 5y = 11 FINAL:
1.249537
1.249537
linear_system
0
chirp
1
15.0625
null
240
4
Solve this system for x: 4.000000000000012x + 1y = 7 1x + 5y = 11 FINAL:
1.263158
1.263158
linear_system
0
chirp
1
15.121094
null
241
3.890935
Solve this system for x: 3.8909350023155467x + 1y = 7 1x + 5y = 11 FINAL:
1.300483
1.300483
linear_system
0
chirp
1
15.179688
null
242
3.800241
Solve this system for x: 3.8002409087589744x + 1y = 7 1x + 5y = 11 FINAL:
1.333244
1.333244
linear_system
0
chirp
1
15.238281
null
243
3.939599
Solve this system for x: 3.939598810136159x + 1y = 7 1x + 5y = 11 FINAL:
1.28356
1.28356
linear_system
0
chirp
1
15.296875
null
244
4.196157
Solve this system for x: 4.196157056080625x + 1y = 7 1x + 5y = 11 FINAL:
1.201154
1.201154
linear_system
0
chirp
1
15.355469
null
245
3.944296
Solve this system for x: 3.9442960621231427x + 1y = 7 1x + 5y = 11 FINAL:
1.28195
1.28195
linear_system
0
chirp
1
15.414063
null
246
3.914489
Solve this system for x: 3.9144889813138084x + 1y = 7 1x + 5y = 11 FINAL:
1.292237
1.292237
linear_system
0
chirp
1
15.472656
null
247
4.143146
Solve this system for x: 4.143146165056818x + 1y = 7 1x + 5y = 11 FINAL:
1.217302
1.217302
linear_system
0
chirp
1
15.53125
null
248
3.858579
Solve this system for x: 3.8585786437627303x + 1y = 7 1x + 5y = 11 FINAL:
1.311985
1.311985
linear_system
0
chirp
1
15.589844
null
249
4.078798
Solve this system for x: 4.078798408012313x + 1y = 7 1x + 5y = 11 FINAL:
1.237497
1.237497
linear_system
0
chirp
1
15.648438
null
250
4.067378
Solve this system for x: 4.067377970678239x + 1y = 7 1x + 5y = 11 FINAL:
1.241151
1.241151
linear_system
0
chirp
1
15.707031
null
251
3.801219
Solve this system for x: 3.8012186059995576x + 1y = 7 1x + 5y = 11 FINAL:
1.332882
1.332882
linear_system
0
chirp
1
15.765625
null
252
4.039018
Solve this system for x: 4.039018064403467x + 1y = 7 1x + 5y = 11 FINAL:
1.25032
1.25032
linear_system
0
chirp
1
15.824219
null
253
4.199263
Solve this system for x: 4.19926252243657x + 1y = 7 1x + 5y = 11 FINAL:
1.200221
1.200221
linear_system
0
chirp
1
15.882813
null
254
4.134312
Solve this system for x: 4.134311790969384x + 1y = 7 1x + 5y = 11 FINAL:
1.220035
1.220035
linear_system
0
chirp
1
15.941406
null
255
4.036608
Solve this system for x: 4.036607977590843x + 1y = 7 1x + 5y = 11 FINAL:
1.251105
1.251105
linear_system
1
chirp
1
1
null
0
4
Solve this system for x: 4.0x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
chirp
1
1.058594
null
1
4.036608
Solve this system for x: 4.036607977591028x + 2y = 8 1x + 3y = 9 FINAL:
0.593482
0.593482
linear_system
1
chirp
1
1.117188
null
2
4.134312
Solve this system for x: 4.134311790969403x + 2y = 8 1x + 3y = 9 FINAL:
0.57676
0.57676
linear_system
1
chirp
1
1.175781
null
3
4.199263
Solve this system for x: 4.199262522436555x + 2y = 8 1x + 3y = 9 FINAL:
0.566156
0.566156