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
0
chirp
1
10.375
null
160
4
Solve for x: 3.9999999999999867x + 3 = 27 FINAL:
6
6
linear_solve
0
chirp
1
10.433594
null
161
4.113146
Solve for x: 4.113146362156703x + 3 = 27 FINAL:
5.834949
5.834949
linear_solve
0
chirp
1
10.492188
null
162
3.85181
Solve for x: 3.851809774928969x + 3 = 27 FINAL:
6.230837
6.230837
linear_solve
0
chirp
1
10.550781
null
163
4.128766
Solve for x: 4.12876630857802x + 3 = 27 FINAL:
5.812874
5.812874
linear_solve
0
chirp
1
10.609375
null
164
3.960982
Solve for x: 3.9609819355967355x + 3 = 27 FINAL:
6.059104
6.059104
linear_solve
0
chirp
1
10.667969
null
165
3.875028
Solve for x: 3.8750281023716155x + 3 = 27 FINAL:
6.193503
6.193503
linear_solve
0
chirp
1
10.726563
null
166
4.188309
Solve for x: 4.188308813036651x + 3 = 27 FINAL:
5.730236
5.730236
linear_solve
0
chirp
1
10.785156
null
167
4.074263
Solve for x: 4.074263438790282x + 3 = 27 FINAL:
5.890635
5.890635
linear_solve
0
chirp
1
10.84375
null
168
3.858579
Solve for x: 3.8585786437626997x + 3 = 27 FINAL:
6.219907
6.219907
linear_solve
0
chirp
1
10.902344
null
169
3.800015
Solve for x: 3.8000150596321713x + 3 = 27 FINAL:
6.315764
6.315764
linear_solve
0
chirp
1
10.960938
null
170
3.819202
Solve for x: 3.8192021413753694x + 3 = 27 FINAL:
6.284035
6.284035
linear_solve
0
chirp
1
11.019531
null
171
3.824786
Solve for x: 3.824785981160932x + 3 = 27 FINAL:
6.274861
6.274861
linear_solve
0
chirp
1
11.078125
null
172
3.803843
Solve for x: 3.8038429439193613x + 3 = 27 FINAL:
6.309409
6.309409
linear_solve
0
chirp
1
11.136719
null
173
3.822472
Solve for x: 3.822472075919435x + 3 = 27 FINAL:
6.278659
6.278659
linear_solve
0
chirp
1
11.195313
null
174
3.990186
Solve for x: 3.9901864651344594x + 3 = 27 FINAL:
6.014757
6.014757
linear_solve
0
chirp
1
11.253906
null
175
4.195663
Solve for x: 4.195663474143912x + 3 = 27 FINAL:
5.720192
5.720192
linear_solve
0
chirp
1
11.3125
null
176
4
Solve for x: 4.0000000000000115x + 3 = 27 FINAL:
6
6
linear_solve
0
chirp
1
11.371094
null
177
3.832355
Solve for x: 3.8323550588889903x + 3 = 27 FINAL:
6.262468
6.262468
linear_solve
0
chirp
1
11.429688
null
178
4.199759
Solve for x: 4.19975909124103x + 3 = 27 FINAL:
5.714614
5.714614
linear_solve
0
chirp
1
11.488281
null
179
3.809339
Solve for x: 3.809338791929169x + 3 = 27 FINAL:
6.300306
6.300306
linear_solve
0
chirp
1
11.546875
null
180
4.196157
Solve for x: 4.196157056080629x + 3 = 27 FINAL:
5.719519
5.719519
linear_solve
0
chirp
1
11.605469
null
181
3.807914
Solve for x: 3.807913896116862x + 3 = 27 FINAL:
6.302664
6.302664
linear_solve
0
chirp
1
11.664063
null
182
4.085511
Solve for x: 4.0855110186860815x + 3 = 27 FINAL:
5.874418
5.874418
linear_solve
0
chirp
1
11.722656
null
183
4.139675
Solve for x: 4.139675249881732x + 3 = 27 FINAL:
5.797556
5.797556
linear_solve
0
chirp
1
11.78125
null
184
3.858579
Solve for x: 3.85857864376263x + 3 = 27 FINAL:
6.219907
6.219907
linear_solve
0
chirp
1
11.839844
null
185
3.816177
Solve for x: 3.816177229661997x + 3 = 27 FINAL:
6.289016
6.289016
linear_solve
0
chirp
1
11.898438
null
186
3.932622
Solve for x: 3.9326220293216294x + 3 = 27 FINAL:
6.102799
6.102799
linear_solve
0
chirp
1
11.957031
null
187
4.022044
Solve for x: 4.022044441458848x + 3 = 27 FINAL:
5.967115
5.967115
linear_solve
0
chirp
1
12.015625
null
188
4.039018
Solve for x: 4.039018064403231x + 3 = 27 FINAL:
5.942038
5.942038
linear_solve
0
chirp
1
12.074219
null
189
3.982841
Solve for x: 3.9828405375311697x + 3 = 27 FINAL:
6.02585
6.02585
linear_solve
0
chirp
1
12.132813
null
190
3.865688
Solve for x: 3.865688209030633x + 3 = 27 FINAL:
6.208468
6.208468
linear_solve
0
chirp
1
12.191406
null
191
3.803379
Solve for x: 3.8033789025137605x + 3 = 27 FINAL:
6.310179
6.310179
linear_solve
0
chirp
1
12.25
null
192
4
Solve for x: 3.9999999999999716x + 3 = 27 FINAL:
6
6
linear_solve
0
chirp
1
12.308594
null
193
4.196621
Solve for x: 4.196621097486246x + 3 = 27 FINAL:
5.718887
5.718887
linear_solve
0
chirp
1
12.367188
null
194
3.865688
Solve for x: 3.8656882090306883x + 3 = 27 FINAL:
6.208468
6.208468
linear_solve
0
chirp
1
12.425781
null
195
4.017159
Solve for x: 4.017159462468718x + 3 = 27 FINAL:
5.974371
5.974371
linear_solve
0
chirp
1
12.484375
null
196
4.039018
Solve for x: 4.039018064403199x + 3 = 27 FINAL:
5.942038
5.942038
linear_solve
0
chirp
1
12.542969
null
197
3.977956
Solve for x: 3.9779555585411464x + 3 = 27 FINAL:
6.03325
6.03325
linear_solve
0
chirp
1
12.601563
null
198
3.932622
Solve for x: 3.9326220293216694x + 3 = 27 FINAL:
6.102799
6.102799
linear_solve
0
chirp
1
12.660156
null
199
4.183823
Solve for x: 4.183822770337971x + 3 = 27 FINAL:
5.736381
5.736381
linear_solve
0
chirp
1
12.71875
null
200
3.858579
Solve for x: 3.8585786437626757x + 3 = 27 FINAL:
6.219907
6.219907
linear_solve
0
chirp
1
12.777344
null
201
3.860325
Solve for x: 3.8603247501183793x + 3 = 27 FINAL:
6.217094
6.217094
linear_solve
0
chirp
1
12.835938
null
202
4.085511
Solve for x: 4.085511018686091x + 3 = 27 FINAL:
5.874418
5.874418
linear_solve
0
chirp
1
12.894531
null
203
4.192086
Solve for x: 4.192086103883152x + 3 = 27 FINAL:
5.725073
5.725073
linear_solve
0
chirp
1
12.953125
null
204
4.196157
Solve for x: 4.1961570560806125x + 3 = 27 FINAL:
5.719519
5.719519
linear_solve
0
chirp
1
13.011719
null
205
4.190661
Solve for x: 4.190661208070794x + 3 = 27 FINAL:
5.72702
5.72702
linear_solve
0
chirp
1
13.070313
null
206
4.199759
Solve for x: 4.199759091241032x + 3 = 27 FINAL:
5.714614
5.714614
linear_solve
0
chirp
1
13.128906
null
207
4.167645
Solve for x: 4.167644941110919x + 3 = 27 FINAL:
5.758648
5.758648
linear_solve
0
chirp
1
13.1875
null
208
4
Solve for x: 4.000000000000065x + 3 = 27 FINAL:
6
6
linear_solve
0
chirp
1
13.246094
null
209
3.804337
Solve for x: 3.804336525856107x + 3 = 27 FINAL:
6.30859
6.30859
linear_solve
0
chirp
1
13.304688
null
210
3.990186
Solve for x: 3.990186465134331x + 3 = 27 FINAL:
6.014757
6.014757
linear_solve
0
chirp
1
13.363281
null
211
4.177528
Solve for x: 4.177527924080642x + 3 = 27 FINAL:
5.745024
5.745024
linear_solve
0
chirp
1
13.421875
null
212
3.803843
Solve for x: 3.8038429439193653x + 3 = 27 FINAL:
6.309409
6.309409
linear_solve
0
chirp
1
13.480469
null
213
4.175214
Solve for x: 4.175214018839128x + 3 = 27 FINAL:
5.748208
5.748208
linear_solve
0
chirp
1
13.539063
null
214
3.819202
Solve for x: 3.819202141375333x + 3 = 27 FINAL:
6.284035
6.284035
linear_solve
0
chirp
1
13.597656
null
215
4.199985
Solve for x: 4.199984940367827x + 3 = 27 FINAL:
5.714306
5.714306
linear_solve
0
chirp
1
13.65625
null
216
3.858579
Solve for x: 3.858578643762579x + 3 = 27 FINAL:
6.219907
6.219907
linear_solve
0
chirp
1
13.714844
null
217
3.925737
Solve for x: 3.9257365612097432x + 3 = 27 FINAL:
6.113502
6.113502
linear_solve
0
chirp
1
13.773438
null
218
4.188309
Solve for x: 4.188308813036611x + 3 = 27 FINAL:
5.730236
5.730236
linear_solve
0
chirp
1
13.832031
null
219
4.124972
Solve for x: 4.124971897628305x + 3 = 27 FINAL:
5.818221
5.818221
linear_solve
0
chirp
1
13.890625
null
220
3.960982
Solve for x: 3.960981935596778x + 3 = 27 FINAL:
6.059104
6.059104
linear_solve
0
chirp
1
13.949219
null
221
3.871234
Solve for x: 3.8712336914219847x + 3 = 27 FINAL:
6.199574
6.199574
linear_solve
0
chirp
1
14.007813
null
222
3.85181
Solve for x: 3.8518097749289475x + 3 = 27 FINAL:
6.230837
6.230837
linear_solve
0
chirp
1
14.066406
null
223
3.886854
Solve for x: 3.88685363784324x + 3 = 27 FINAL:
6.17466
6.17466
linear_solve
0
chirp
1
14.125
null
224
4
Solve for x: 4.000000000000062x + 3 = 27 FINAL:
6
6
linear_solve
0
chirp
1
14.183594
null
225
4.164918
Solve for x: 4.16491786055693x + 3 = 27 FINAL:
5.762419
5.762419
linear_solve
0
chirp
1
14.242188
null
226
4.14819
Solve for x: 4.14819022507117x + 3 = 27 FINAL:
5.785656
5.785656
linear_solve
0
chirp
1
14.300781
null
227
3.846967
Solve for x: 3.846966546875491x + 3 = 27 FINAL:
6.238682
6.238682
linear_solve
0
chirp
1
14.359375
null
228
3.960982
Solve for x: 3.9609819355967906x + 3 = 27 FINAL:
6.059104
6.059104
linear_solve
0
chirp
1
14.417969
null
229
4.156147
Solve for x: 4.156147445714376x + 3 = 27 FINAL:
5.774579
5.774579
linear_solve
0
chirp
1
14.476563
null
230
3.811691
Solve for x: 3.8116911869633348x + 3 = 27 FINAL:
6.296418
6.296418
linear_solve
0
chirp
1
14.535156
null
231
4.185701
Solve for x: 4.185701216094645x + 3 = 27 FINAL:
5.733806
5.733806
linear_solve
0
chirp
1
14.59375
null
232
3.858579
Solve for x: 3.858578643762597x + 3 = 27 FINAL:
6.219907
6.219907
linear_solve
0
chirp
1
14.652344
null
233
4.002454
Solve for x: 4.002454307657341x + 3 = 27 FINAL:
5.996321
5.996321
linear_solve
0
chirp
1
14.710938
null
234
4.180798
Solve for x: 4.1807978586246035x + 3 = 27 FINAL:
5.740531
5.740531
linear_solve
0
chirp
1
14.769531
null
235
3.903563
Solve for x: 3.903563245584052x + 3 = 27 FINAL:
6.148229
6.148229
linear_solve
0
chirp
1
14.828125
null
236
3.803843
Solve for x: 3.8038429439193577x + 3 = 27 FINAL:
6.309409
6.309409
linear_solve
0
chirp
1
14.886719
null
237
3.907892
Solve for x: 3.9078922578085313x + 3 = 27 FINAL:
6.141418
6.141418
linear_solve
0
chirp
1
14.945313
null
238
4.009814
Solve for x: 4.009813534865442x + 3 = 27 FINAL:
5.985316
5.985316
linear_solve
0
chirp
1
15.003906
null
239
4.041422
Solve for x: 4.041422275238459x + 3 = 27 FINAL:
5.938503
5.938503
linear_solve
0
chirp
1
15.0625
null
240
4
Solve for x: 4.000000000000012x + 3 = 27 FINAL:
6
6
linear_solve
0
chirp
1
15.121094
null
241
3.890935
Solve for x: 3.8909350023155467x + 3 = 27 FINAL:
6.168183
6.168183
linear_solve
0
chirp
1
15.179688
null
242
3.800241
Solve for x: 3.8002409087589744x + 3 = 27 FINAL:
6.315389
6.315389
linear_solve
0
chirp
1
15.238281
null
243
3.939599
Solve for x: 3.939598810136159x + 3 = 27 FINAL:
6.091991
6.091991
linear_solve
0
chirp
1
15.296875
null
244
4.196157
Solve for x: 4.196157056080625x + 3 = 27 FINAL:
5.719519
5.719519
linear_solve
0
chirp
1
15.355469
null
245
3.944296
Solve for x: 3.9442960621231427x + 3 = 27 FINAL:
6.084736
6.084736
linear_solve
0
chirp
1
15.414063
null
246
3.914489
Solve for x: 3.9144889813138084x + 3 = 27 FINAL:
6.131068
6.131068
linear_solve
0
chirp
1
15.472656
null
247
4.143146
Solve for x: 4.143146165056818x + 3 = 27 FINAL:
5.792699
5.792699
linear_solve
0
chirp
1
15.53125
null
248
3.858579
Solve for x: 3.8585786437627303x + 3 = 27 FINAL:
6.219907
6.219907
linear_solve
0
chirp
1
15.589844
null
249
4.078798
Solve for x: 4.078798408012313x + 3 = 27 FINAL:
5.884086
5.884086
linear_solve
0
chirp
1
15.648438
null
250
4.067378
Solve for x: 4.067377970678239x + 3 = 27 FINAL:
5.900607
5.900607
linear_solve
0
chirp
1
15.707031
null
251
3.801219
Solve for x: 3.8012186059995576x + 3 = 27 FINAL:
6.313765
6.313765
linear_solve
0
chirp
1
15.765625
null
252
4.039018
Solve for x: 4.039018064403467x + 3 = 27 FINAL:
5.942038
5.942038
linear_solve
0
chirp
1
15.824219
null
253
4.199263
Solve for x: 4.19926252243657x + 3 = 27 FINAL:
5.715289
5.715289
linear_solve
0
chirp
1
15.882813
null
254
4.134312
Solve for x: 4.134311790969384x + 3 = 27 FINAL:
5.805077
5.805077
linear_solve
0
chirp
1
15.941406
null
255
4.036608
Solve for x: 4.036607977590843x + 3 = 27 FINAL:
5.945586
5.945586
linear_solve
1
chirp
1
1
null
0
4
Solve for x: 4.0x + 5 = 41 FINAL:
9
9
linear_solve
1
chirp
1
1.058594
null
1
4.036608
Solve for x: 4.036607977591028x + 5 = 41 FINAL:
8.918379
8.918379
linear_solve
1
chirp
1
1.117188
null
2
4.134312
Solve for x: 4.134311790969403x + 5 = 41 FINAL:
8.707616
8.707616
linear_solve
1
chirp
1
1.175781
null
3
4.199263
Solve for x: 4.199262522436555x + 5 = 41 FINAL:
8.572934
8.572934