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
0.06
0.1
prompt
stringlengths
86
96
ground_truth
float64
144
318
symbolic_baseline_answer
float64
144
318
exponential_interest
0
chirp
1
10.375
null
160
0.08
Calculate the compound interest: $100 invested at 8% annual rate for 6 years. FINAL:
158.687432
158.687432
exponential_interest
0
chirp
1
10.433594
null
161
0.08396
Calculate the compound interest: $100 invested at 8.396012268% annual rate for 6 years. FINAL:
162.210825
162.210825
exponential_interest
0
chirp
1
10.492188
null
162
0.074813
Calculate the compound interest: $100 invested at 7.481334212% annual rate for 6 years. FINAL:
154.169439
154.169439
exponential_interest
0
chirp
1
10.550781
null
163
0.084507
Calculate the compound interest: $100 invested at 8.45068208% annual rate for 6 years. FINAL:
162.702313
162.702313
exponential_interest
0
chirp
1
10.609375
null
164
0.078634
Calculate the compound interest: $100 invested at 7.863436775% annual rate for 6 years. FINAL:
157.487295
157.487295
exponential_interest
0
chirp
1
10.667969
null
165
0.075626
Calculate the compound interest: $100 invested at 7.562598358% annual rate for 6 years. FINAL:
154.870146
154.870146
exponential_interest
0
chirp
1
10.726563
null
166
0.086591
Calculate the compound interest: $100 invested at 8.659080846% annual rate for 6 years. FINAL:
164.58724
164.58724
exponential_interest
0
chirp
1
10.785156
null
167
0.082599
Calculate the compound interest: $100 invested at 8.259922036% annual rate for 6 years. FINAL:
160.992728
160.992728
exponential_interest
0
chirp
1
10.84375
null
168
0.07505
Calculate the compound interest: $100 invested at 7.505025253% annual rate for 6 years. FINAL:
154.373444
154.373444
exponential_interest
0
chirp
1
10.902344
null
169
0.073001
Calculate the compound interest: $100 invested at 7.300052709% annual rate for 6 years. FINAL:
152.61584
152.61584
exponential_interest
0
chirp
1
10.960938
null
170
0.073672
Calculate the compound interest: $100 invested at 7.367207495% annual rate for 6 years. FINAL:
153.189834
153.189834
exponential_interest
0
chirp
1
11.019531
null
171
0.073868
Calculate the compound interest: $100 invested at 7.386750934% annual rate for 6 years. FINAL:
153.357216
153.357216
exponential_interest
0
chirp
1
11.078125
null
172
0.073135
Calculate the compound interest: $100 invested at 7.313450304% annual rate for 6 years. FINAL:
152.73021
152.73021
exponential_interest
0
chirp
1
11.136719
null
173
0.073787
Calculate the compound interest: $100 invested at 7.378652266% annual rate for 6 years. FINAL:
153.287836
153.287836
exponential_interest
0
chirp
1
11.195313
null
174
0.079657
Calculate the compound interest: $100 invested at 7.965652628% annual rate for 6 years. FINAL:
158.384868
158.384868
exponential_interest
0
chirp
1
11.253906
null
175
0.086848
Calculate the compound interest: $100 invested at 8.68482216% annual rate for 6 years. FINAL:
164.821322
164.821322
exponential_interest
0
chirp
1
11.3125
null
176
0.08
Calculate the compound interest: $100 invested at 8% annual rate for 6 years. FINAL:
158.687432
158.687432
exponential_interest
0
chirp
1
11.371094
null
177
0.074132
Calculate the compound interest: $100 invested at 7.413242706% annual rate for 6 years. FINAL:
153.584351
153.584351
exponential_interest
0
chirp
1
11.429688
null
178
0.086992
Calculate the compound interest: $100 invested at 8.699156819% annual rate for 6 years. FINAL:
164.951797
164.951797
exponential_interest
0
chirp
1
11.488281
null
179
0.073327
Calculate the compound interest: $100 invested at 7.332685772% annual rate for 6 years. FINAL:
152.894541
152.894541
exponential_interest
0
chirp
1
11.546875
null
180
0.086865
Calculate the compound interest: $100 invested at 8.686549696% annual rate for 6 years. FINAL:
164.837042
164.837042
exponential_interest
0
chirp
1
11.605469
null
181
0.073277
Calculate the compound interest: $100 invested at 7.327698636% annual rate for 6 years. FINAL:
152.851922
152.851922
exponential_interest
0
chirp
1
11.664063
null
182
0.082993
Calculate the compound interest: $100 invested at 8.299288565% annual rate for 6 years. FINAL:
161.344298
161.344298
exponential_interest
0
chirp
1
11.722656
null
183
0.084889
Calculate the compound interest: $100 invested at 8.488863375% annual rate for 6 years. FINAL:
163.046303
163.046303
exponential_interest
0
chirp
1
11.78125
null
184
0.07505
Calculate the compound interest: $100 invested at 7.505025253% annual rate for 6 years. FINAL:
154.373444
154.373444
exponential_interest
0
chirp
1
11.839844
null
185
0.073566
Calculate the compound interest: $100 invested at 7.356620304% annual rate for 6 years. FINAL:
153.099223
153.099223
exponential_interest
0
chirp
1
11.898438
null
186
0.077642
Calculate the compound interest: $100 invested at 7.764177103% annual rate for 6 years. FINAL:
156.619741
156.619741
exponential_interest
0
chirp
1
11.957031
null
187
0.080772
Calculate the compound interest: $100 invested at 8.077155545% annual rate for 6 years. FINAL:
159.368849
159.368849
exponential_interest
0
chirp
1
12.015625
null
188
0.081366
Calculate the compound interest: $100 invested at 8.136563225% annual rate for 6 years. FINAL:
159.895182
159.895182
exponential_interest
0
chirp
1
12.074219
null
189
0.079399
Calculate the compound interest: $100 invested at 7.939941881% annual rate for 6 years. FINAL:
158.158697
158.158697
exponential_interest
0
chirp
1
12.132813
null
190
0.075299
Calculate the compound interest: $100 invested at 7.529908732% annual rate for 6 years. FINAL:
154.587959
154.587959
exponential_interest
0
chirp
1
12.191406
null
191
0.073118
Calculate the compound interest: $100 invested at 7.311826159% annual rate for 6 years. FINAL:
152.716342
152.716342
exponential_interest
0
chirp
1
12.25
null
192
0.08
Calculate the compound interest: $100 invested at 8% annual rate for 6 years. FINAL:
158.687432
158.687432
exponential_interest
0
chirp
1
12.308594
null
193
0.086882
Calculate the compound interest: $100 invested at 8.688173841% annual rate for 6 years. FINAL:
164.851822
164.851822
exponential_interest
0
chirp
1
12.367188
null
194
0.075299
Calculate the compound interest: $100 invested at 7.529908732% annual rate for 6 years. FINAL:
154.587959
154.587959
exponential_interest
0
chirp
1
12.425781
null
195
0.080601
Calculate the compound interest: $100 invested at 8.060058119% annual rate for 6 years. FINAL:
159.217639
159.217639
exponential_interest
0
chirp
1
12.484375
null
196
0.081366
Calculate the compound interest: $100 invested at 8.136563225% annual rate for 6 years. FINAL:
159.895182
159.895182
exponential_interest
0
chirp
1
12.542969
null
197
0.079228
Calculate the compound interest: $100 invested at 7.922844455% annual rate for 6 years. FINAL:
158.008445
158.008445
exponential_interest
0
chirp
1
12.601563
null
198
0.077642
Calculate the compound interest: $100 invested at 7.764177103% annual rate for 6 years. FINAL:
156.619741
156.619741
exponential_interest
0
chirp
1
12.660156
null
199
0.086434
Calculate the compound interest: $100 invested at 8.643379696% annual rate for 6 years. FINAL:
164.444595
164.444595
exponential_interest
0
chirp
1
12.71875
null
200
0.07505
Calculate the compound interest: $100 invested at 7.505025253% annual rate for 6 years. FINAL:
154.373444
154.373444
exponential_interest
0
chirp
1
12.777344
null
201
0.075111
Calculate the compound interest: $100 invested at 7.511136625% annual rate for 6 years. FINAL:
154.426106
154.426106
exponential_interest
0
chirp
1
12.835938
null
202
0.082993
Calculate the compound interest: $100 invested at 8.299288565% annual rate for 6 years. FINAL:
161.344298
161.344298
exponential_interest
0
chirp
1
12.894531
null
203
0.086723
Calculate the compound interest: $100 invested at 8.672301364% annual rate for 6 years. FINAL:
164.707428
164.707428
exponential_interest
0
chirp
1
12.953125
null
204
0.086865
Calculate the compound interest: $100 invested at 8.686549696% annual rate for 6 years. FINAL:
164.837042
164.837042
exponential_interest
0
chirp
1
13.011719
null
205
0.086673
Calculate the compound interest: $100 invested at 8.667314228% annual rate for 6 years. FINAL:
164.662081
164.662081
exponential_interest
0
chirp
1
13.070313
null
206
0.086992
Calculate the compound interest: $100 invested at 8.699156819% annual rate for 6 years. FINAL:
164.951797
164.951797
exponential_interest
0
chirp
1
13.128906
null
207
0.085868
Calculate the compound interest: $100 invested at 8.586757294% annual rate for 6 years. FINAL:
163.931036
163.931036
exponential_interest
0
chirp
1
13.1875
null
208
0.08
Calculate the compound interest: $100 invested at 8% annual rate for 6 years. FINAL:
158.687432
158.687432
exponential_interest
0
chirp
1
13.246094
null
209
0.073152
Calculate the compound interest: $100 invested at 7.31517784% annual rate for 6 years. FINAL:
152.744963
152.744963
exponential_interest
0
chirp
1
13.304688
null
210
0.079657
Calculate the compound interest: $100 invested at 7.965652628% annual rate for 6 years. FINAL:
158.384868
158.384868
exponential_interest
0
chirp
1
13.363281
null
211
0.086213
Calculate the compound interest: $100 invested at 8.621347734% annual rate for 6 years. FINAL:
164.244609
164.244609
exponential_interest
0
chirp
1
13.421875
null
212
0.073135
Calculate the compound interest: $100 invested at 7.313450304% annual rate for 6 years. FINAL:
152.73021
152.73021
exponential_interest
0
chirp
1
13.480469
null
213
0.086132
Calculate the compound interest: $100 invested at 8.613249066% annual rate for 6 years. FINAL:
164.171147
164.171147
exponential_interest
0
chirp
1
13.539063
null
214
0.073672
Calculate the compound interest: $100 invested at 7.367207495% annual rate for 6 years. FINAL:
153.189834
153.189834
exponential_interest
0
chirp
1
13.597656
null
215
0.086999
Calculate the compound interest: $100 invested at 8.699947291% annual rate for 6 years. FINAL:
164.958995
164.958995
exponential_interest
0
chirp
1
13.65625
null
216
0.07505
Calculate the compound interest: $100 invested at 7.505025253% annual rate for 6 years. FINAL:
154.373444
154.373444
exponential_interest
0
chirp
1
13.714844
null
217
0.077401
Calculate the compound interest: $100 invested at 7.740077964% annual rate for 6 years. FINAL:
156.409711
156.409711
exponential_interest
0
chirp
1
13.773438
null
218
0.086591
Calculate the compound interest: $100 invested at 8.659080846% annual rate for 6 years. FINAL:
164.58724
164.58724
exponential_interest
0
chirp
1
13.832031
null
219
0.084374
Calculate the compound interest: $100 invested at 8.437401642% annual rate for 6 years. FINAL:
162.582806
162.582806
exponential_interest
0
chirp
1
13.890625
null
220
0.078634
Calculate the compound interest: $100 invested at 7.863436775% annual rate for 6 years. FINAL:
157.487295
157.487295
exponential_interest
0
chirp
1
13.949219
null
221
0.075493
Calculate the compound interest: $100 invested at 7.54931792% annual rate for 6 years. FINAL:
154.755454
154.755454
exponential_interest
0
chirp
1
14.007813
null
222
0.074813
Calculate the compound interest: $100 invested at 7.481334212% annual rate for 6 years. FINAL:
154.169439
154.169439
exponential_interest
0
chirp
1
14.066406
null
223
0.07604
Calculate the compound interest: $100 invested at 7.603987732% annual rate for 6 years. FINAL:
155.228049
155.228049
exponential_interest
0
chirp
1
14.125
null
224
0.08
Calculate the compound interest: $100 invested at 8% annual rate for 6 years. FINAL:
158.687432
158.687432
exponential_interest
0
chirp
1
14.183594
null
225
0.085772
Calculate the compound interest: $100 invested at 8.577212512% annual rate for 6 years. FINAL:
163.844598
163.844598
exponential_interest
0
chirp
1
14.242188
null
226
0.085187
Calculate the compound interest: $100 invested at 8.518665788% annual rate for 6 years. FINAL:
163.315225
163.315225
exponential_interest
0
chirp
1
14.300781
null
227
0.074644
Calculate the compound interest: $100 invested at 7.464382914% annual rate for 6 years. FINAL:
154.023609
154.023609
exponential_interest
0
chirp
1
14.359375
null
228
0.078634
Calculate the compound interest: $100 invested at 7.863436775% annual rate for 6 years. FINAL:
157.487295
157.487295
exponential_interest
0
chirp
1
14.417969
null
229
0.085465
Calculate the compound interest: $100 invested at 8.54651606% annual rate for 6 years. FINAL:
163.566866
163.566866
exponential_interest
0
chirp
1
14.476563
null
230
0.073409
Calculate the compound interest: $100 invested at 7.340919154% annual rate for 6 years. FINAL:
152.964925
152.964925
exponential_interest
0
chirp
1
14.535156
null
231
0.0865
Calculate the compound interest: $100 invested at 8.649954256% annual rate for 6 years. FINAL:
164.504312
164.504312
exponential_interest
0
chirp
1
14.59375
null
232
0.07505
Calculate the compound interest: $100 invested at 7.505025253% annual rate for 6 years. FINAL:
154.373444
154.373444
exponential_interest
0
chirp
1
14.652344
null
233
0.080086
Calculate the compound interest: $100 invested at 8.008590077% annual rate for 6 years. FINAL:
158.763177
158.763177
exponential_interest
0
chirp
1
14.710938
null
234
0.086328
Calculate the compound interest: $100 invested at 8.632792505% annual rate for 6 years. FINAL:
164.348469
164.348469
exponential_interest
0
chirp
1
14.769531
null
235
0.076625
Calculate the compound interest: $100 invested at 7.66247136% annual rate for 6 years. FINAL:
155.734943
155.734943
exponential_interest
0
chirp
1
14.828125
null
236
0.073135
Calculate the compound interest: $100 invested at 7.313450304% annual rate for 6 years. FINAL:
152.73021
152.73021
exponential_interest
0
chirp
1
14.886719
null
237
0.076776
Calculate the compound interest: $100 invested at 7.677622902% annual rate for 6 years. FINAL:
155.86649
155.86649
exponential_interest
0
chirp
1
14.945313
null
238
0.080343
Calculate the compound interest: $100 invested at 8.034347372% annual rate for 6 years. FINAL:
158.990478
158.990478
exponential_interest
0
chirp
1
15.003906
null
239
0.08145
Calculate the compound interest: $100 invested at 8.144977963% annual rate for 6 years. FINAL:
159.96985
159.96985
exponential_interest
0
chirp
1
15.0625
null
240
0.08
Calculate the compound interest: $100 invested at 8% annual rate for 6 years. FINAL:
158.687432
158.687432
exponential_interest
0
chirp
1
15.121094
null
241
0.076183
Calculate the compound interest: $100 invested at 7.618272508% annual rate for 6 years. FINAL:
155.351732
155.351732
exponential_interest
0
chirp
1
15.179688
null
242
0.073008
Calculate the compound interest: $100 invested at 7.300843181% annual rate for 6 years. FINAL:
152.622586
152.622586
exponential_interest
0
chirp
1
15.238281
null
243
0.077886
Calculate the compound interest: $100 invested at 7.788595835% annual rate for 6 years. FINAL:
156.832796
156.832796
exponential_interest
0
chirp
1
15.296875
null
244
0.086865
Calculate the compound interest: $100 invested at 8.686549696% annual rate for 6 years. FINAL:
164.837042
164.837042
exponential_interest
0
chirp
1
15.355469
null
245
0.07805
Calculate the compound interest: $100 invested at 7.805036217% annual rate for 6 years. FINAL:
156.976376
156.976376
exponential_interest
0
chirp
1
15.414063
null
246
0.077007
Calculate the compound interest: $100 invested at 7.700711435% annual rate for 6 years. FINAL:
156.067126
156.067126
exponential_interest
0
chirp
1
15.472656
null
247
0.08501
Calculate the compound interest: $100 invested at 8.501011578% annual rate for 6 years. FINAL:
163.155877
163.155877
exponential_interest
0
chirp
1
15.53125
null
248
0.07505
Calculate the compound interest: $100 invested at 7.505025253% annual rate for 6 years. FINAL:
154.373444
154.373444
exponential_interest
0
chirp
1
15.589844
null
249
0.082758
Calculate the compound interest: $100 invested at 8.275794428% annual rate for 6 years. FINAL:
161.134403
161.134403
exponential_interest
0
chirp
1
15.648438
null
250
0.082358
Calculate the compound interest: $100 invested at 8.235822897% annual rate for 6 years. FINAL:
160.777822
160.777822
exponential_interest
0
chirp
1
15.707031
null
251
0.073043
Calculate the compound interest: $100 invested at 7.304265121% annual rate for 6 years. FINAL:
152.651792
152.651792
exponential_interest
0
chirp
1
15.765625
null
252
0.081366
Calculate the compound interest: $100 invested at 8.136563225% annual rate for 6 years. FINAL:
159.895182
159.895182
exponential_interest
0
chirp
1
15.824219
null
253
0.086974
Calculate the compound interest: $100 invested at 8.697418829% annual rate for 6 years. FINAL:
164.935973
164.935973
exponential_interest
0
chirp
1
15.882813
null
254
0.084701
Calculate the compound interest: $100 invested at 8.470091268% annual rate for 6 years. FINAL:
162.877102
162.877102
exponential_interest
0
chirp
1
15.941406
null
255
0.081281
Calculate the compound interest: $100 invested at 8.128127922% annual rate for 6 years. FINAL:
159.82036
159.82036
exponential_interest
1
chirp
1
1
null
0
0.08
Calculate the compound interest: $200 invested at 8% annual rate for 5 years. FINAL:
293.865615
293.865615
exponential_interest
1
chirp
1
1.058594
null
1
0.081281
Calculate the compound interest: $200 invested at 8.128127922% annual rate for 5 years. FINAL:
295.612923
295.612923
exponential_interest
1
chirp
1
1.117188
null
2
0.084701
Calculate the compound interest: $200 invested at 8.470091268% annual rate for 5 years. FINAL:
300.317074
300.317074
exponential_interest
1
chirp
1
1.175781
null
3
0.086974
Calculate the compound interest: $200 invested at 8.697418829% annual rate for 5 years. FINAL:
303.477258
303.477258