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
2
sinusoid
2.5
1
120
0
0.095155
Calculate the compound interest: $150 invested at 9.515544457% annual rate for 4 years. FINAL:
215.771622
215.771622
exponential_interest
2
sinusoid
2.5
1
120
1
0.094225
Calculate the compound interest: $150 invested at 9.422481698% annual rate for 4 years. FINAL:
215.039133
215.039133
exponential_interest
2
sinusoid
2.5
1
120
2
0.093157
Calculate the compound interest: $150 invested at 9.315719663% annual rate for 4 years. FINAL:
214.201117
214.201117
exponential_interest
2
sinusoid
2.5
1
120
3
0.091963
Calculate the compound interest: $150 invested at 9.196286529% annual rate for 4 years. FINAL:
213.266547
213.266547
exponential_interest
2
sinusoid
2.5
1
120
4
0.090653
Calculate the compound interest: $150 invested at 9.065332501% annual rate for 4 years. FINAL:
212.245343
212.245343
exponential_interest
2
sinusoid
2.5
1
120
5
0.089241
Calculate the compound interest: $150 invested at 8.924118739% annual rate for 4 years. FINAL:
211.148246
211.148246
exponential_interest
2
sinusoid
2.5
1
120
6
0.08774
Calculate the compound interest: $150 invested at 8.774005208% annual rate for 4 years. FINAL:
209.986676
209.986676
exponential_interest
2
sinusoid
2.5
1
120
7
0.086164
Calculate the compound interest: $150 invested at 8.616437584% annual rate for 4 years. FINAL:
208.772589
208.772589
exponential_interest
2
sinusoid
2.5
1
120
8
0.084529
Calculate the compound interest: $150 invested at 8.452933329% annual rate for 4 years. FINAL:
207.518333
207.518333
exponential_interest
2
sinusoid
2.5
1
120
9
0.082851
Calculate the compound interest: $150 invested at 8.285067078% annual rate for 4 years. FINAL:
206.236504
206.236504
exponential_interest
2
sinusoid
2.5
1
120
10
0.081145
Calculate the compound interest: $150 invested at 8.114455476% annual rate for 4 years. FINAL:
204.939806
204.939806
exponential_interest
2
sinusoid
2.5
1
120
11
0.079427
Calculate the compound interest: $150 invested at 7.942741605% annual rate for 4 years. FINAL:
203.640914
203.640914
exponential_interest
2
sinusoid
2.5
1
120
12
0.077716
Calculate the compound interest: $150 invested at 7.771579164% annual rate for 4 years. FINAL:
202.352347
202.352347
exponential_interest
2
sinusoid
2.5
1
120
13
0.076026
Calculate the compound interest: $150 invested at 7.60261654% annual rate for 4 years. FINAL:
201.086348
201.086348
exponential_interest
2
sinusoid
2.5
1
120
14
0.074375
Calculate the compound interest: $150 invested at 7.437480936% annual rate for 4 years. FINAL:
199.854774
199.854774
exponential_interest
2
sinusoid
2.5
1
120
15
0.072778
Calculate the compound interest: $150 invested at 7.277762698% annual rate for 4 years. FINAL:
198.668993
198.668993
exponential_interest
2
sinusoid
2.5
1
120
16
0.07125
Calculate the compound interest: $150 invested at 7.125% annual rate for 4 years. FINAL:
197.539795
197.539795
exponential_interest
2
sinusoid
2.5
1
120
17
0.069807
Calculate the compound interest: $150 invested at 6.98066403% annual rate for 4 years. FINAL:
196.477316
196.477316
exponential_interest
2
sinusoid
2.5
1
120
18
0.068461
Calculate the compound interest: $150 invested at 6.846144824% annual rate for 4 years. FINAL:
195.490963
195.490963
exponential_interest
2
sinusoid
2.5
1
120
19
0.067227
Calculate the compound interest: $150 invested at 6.722737873% annual rate for 4 years. FINAL:
194.589361
194.589361
exponential_interest
2
sinusoid
2.5
1
120
20
0.066116
Calculate the compound interest: $150 invested at 6.611631654% annual rate for 4 years. FINAL:
193.780298
193.780298
exponential_interest
2
sinusoid
2.5
1
120
21
0.065139
Calculate the compound interest: $150 invested at 6.513896182% annual rate for 4 years. FINAL:
193.070688
193.070688
exponential_interest
2
sinusoid
2.5
1
120
22
0.064305
Calculate the compound interest: $150 invested at 6.430472702% annual rate for 4 years. FINAL:
192.466533
192.466533
exponential_interest
2
sinusoid
2.5
1
120
23
0.063622
Calculate the compound interest: $150 invested at 6.362164628% annual rate for 4 years. FINAL:
191.972901
191.972901
exponential_interest
2
sinusoid
2.5
1
120
24
0.063096
Calculate the compound interest: $150 invested at 6.309629804% annual rate for 4 years. FINAL:
191.593902
191.593902
exponential_interest
2
sinusoid
2.5
1
120
25
0.062734
Calculate the compound interest: $150 invested at 6.273374169% annual rate for 4 years. FINAL:
191.332672
191.332672
exponential_interest
2
sinusoid
2.5
1
120
26
0.062537
Calculate the compound interest: $150 invested at 6.253746884% annual rate for 4 years. FINAL:
191.191365
191.191365
exponential_interest
2
sinusoid
2.5
1
120
27
0.062509
Calculate the compound interest: $150 invested at 6.250936972% annual rate for 4 years. FINAL:
191.171141
191.171141
exponential_interest
2
sinusoid
2.5
1
120
28
0.06265
Calculate the compound interest: $150 invested at 6.264971493% annual rate for 4 years. FINAL:
191.272167
191.272167
exponential_interest
2
sinusoid
2.5
1
120
29
0.062957
Calculate the compound interest: $150 invested at 6.295715286% annual rate for 4 years. FINAL:
191.493613
191.493613
exponential_interest
2
sinusoid
2.5
1
120
30
0.063429
Calculate the compound interest: $150 invested at 6.342872273% annual rate for 4 years. FINAL:
191.833656
191.833656
exponential_interest
2
sinusoid
2.5
1
120
31
0.06406
Calculate the compound interest: $150 invested at 6.405988306% annual rate for 4 years. FINAL:
192.289486
192.289486
exponential_interest
2
sinusoid
2.5
1
120
32
0.064845
Calculate the compound interest: $150 invested at 6.484455543% annual rate for 4 years. FINAL:
192.857316
192.857316
exponential_interest
2
sinusoid
2.5
1
120
33
0.065775
Calculate the compound interest: $150 invested at 6.577518302% annual rate for 4 years. FINAL:
193.532396
193.532396
exponential_interest
2
sinusoid
2.5
1
120
34
0.066843
Calculate the compound interest: $150 invested at 6.684280337% annual rate for 4 years. FINAL:
194.309031
194.309031
exponential_interest
2
sinusoid
2.5
1
120
35
0.068037
Calculate the compound interest: $150 invested at 6.803713471% annual rate for 4 years. FINAL:
195.18061
195.18061
exponential_interest
2
sinusoid
2.5
1
120
36
0.069347
Calculate the compound interest: $150 invested at 6.934667499% annual rate for 4 years. FINAL:
196.13963
196.13963
exponential_interest
2
sinusoid
2.5
1
120
37
0.070759
Calculate the compound interest: $150 invested at 7.075881261% annual rate for 4 years. FINAL:
197.177742
197.177742
exponential_interest
2
sinusoid
2.5
1
120
38
0.07226
Calculate the compound interest: $150 invested at 7.225994792% annual rate for 4 years. FINAL:
198.285792
198.285792
exponential_interest
2
sinusoid
2.5
1
120
39
0.073836
Calculate the compound interest: $150 invested at 7.383562416% annual rate for 4 years. FINAL:
199.45388
199.45388
exponential_interest
2
sinusoid
2.5
1
120
40
0.075471
Calculate the compound interest: $150 invested at 7.547066671% annual rate for 4 years. FINAL:
200.671426
200.671426
exponential_interest
2
sinusoid
2.5
1
120
41
0.077149
Calculate the compound interest: $150 invested at 7.714932922% annual rate for 4 years. FINAL:
201.927245
201.927245
exponential_interest
2
sinusoid
2.5
1
120
42
0.078855
Calculate the compound interest: $150 invested at 7.885544524% annual rate for 4 years. FINAL:
203.209633
203.209633
exponential_interest
2
sinusoid
2.5
1
120
43
0.080573
Calculate the compound interest: $150 invested at 8.057258395% annual rate for 4 years. FINAL:
204.506463
204.506463
exponential_interest
2
sinusoid
2.5
1
120
44
0.082284
Calculate the compound interest: $150 invested at 8.228420836% annual rate for 4 years. FINAL:
205.805296
205.805296
exponential_interest
2
sinusoid
2.5
1
120
45
0.083974
Calculate the compound interest: $150 invested at 8.39738346% annual rate for 4 years. FINAL:
207.093494
207.093494
exponential_interest
2
sinusoid
2.5
1
120
46
0.085625
Calculate the compound interest: $150 invested at 8.562519064% annual rate for 4 years. FINAL:
208.358349
208.358349
exponential_interest
2
sinusoid
2.5
1
120
47
0.087222
Calculate the compound interest: $150 invested at 8.722237302% annual rate for 4 years. FINAL:
209.587213
209.587213
exponential_interest
2
sinusoid
2.5
1
120
48
0.08875
Calculate the compound interest: $150 invested at 8.875% annual rate for 4 years. FINAL:
210.767639
210.767639
exponential_interest
2
sinusoid
2.5
1
120
49
0.090193
Calculate the compound interest: $150 invested at 9.01933597% annual rate for 4 years. FINAL:
211.887525
211.887525
exponential_interest
2
sinusoid
2.5
1
120
50
0.091539
Calculate the compound interest: $150 invested at 9.153855176% annual rate for 4 years. FINAL:
212.935257
212.935257
exponential_interest
2
sinusoid
2.5
1
120
51
0.092773
Calculate the compound interest: $150 invested at 9.277262127% annual rate for 4 years. FINAL:
213.899851
213.899851
exponential_interest
2
sinusoid
2.5
1
120
52
0.093884
Calculate the compound interest: $150 invested at 9.388368346% annual rate for 4 years. FINAL:
214.771098
214.771098
exponential_interest
2
sinusoid
2.5
1
120
53
0.094861
Calculate the compound interest: $150 invested at 9.486103818% annual rate for 4 years. FINAL:
215.539695
215.539695
exponential_interest
2
sinusoid
2.5
1
120
54
0.095695
Calculate the compound interest: $150 invested at 9.569527298% annual rate for 4 years. FINAL:
216.197372
216.197372
exponential_interest
2
sinusoid
2.5
1
120
55
0.096378
Calculate the compound interest: $150 invested at 9.637835372% annual rate for 4 years. FINAL:
216.737006
216.737006
exponential_interest
2
sinusoid
2.5
1
120
56
0.096904
Calculate the compound interest: $150 invested at 9.690370196% annual rate for 4 years. FINAL:
217.152717
217.152717
exponential_interest
2
sinusoid
2.5
1
120
57
0.097266
Calculate the compound interest: $150 invested at 9.726625831% annual rate for 4 years. FINAL:
217.439959
217.439959
exponential_interest
2
sinusoid
2.5
1
120
58
0.097463
Calculate the compound interest: $150 invested at 9.746253116% annual rate for 4 years. FINAL:
217.595578
217.595578
exponential_interest
2
sinusoid
2.5
1
120
59
0.097491
Calculate the compound interest: $150 invested at 9.749063028% annual rate for 4 years. FINAL:
217.617864
217.617864
exponential_interest
2
sinusoid
2.5
1
120
60
0.09735
Calculate the compound interest: $150 invested at 9.735028507% annual rate for 4 years. FINAL:
217.506571
217.506571
exponential_interest
2
sinusoid
2.5
1
120
61
0.097043
Calculate the compound interest: $150 invested at 9.704284714% annual rate for 4 years. FINAL:
217.262924
217.262924
exponential_interest
2
sinusoid
2.5
1
120
62
0.096571
Calculate the compound interest: $150 invested at 9.657127727% annual rate for 4 years. FINAL:
216.889598
216.889598
exponential_interest
2
sinusoid
2.5
1
120
63
0.09594
Calculate the compound interest: $150 invested at 9.594011694% annual rate for 4 years. FINAL:
216.390683
216.390683
exponential_interest
2
sinusoid
2.5
2
120
0
0.095155
Calculate the compound interest: $150 invested at 9.515544457% annual rate for 4 years. FINAL:
215.771622
215.771622
exponential_interest
2
sinusoid
2.5
2
120
1
0.093157
Calculate the compound interest: $150 invested at 9.315719663% annual rate for 4 years. FINAL:
214.201117
214.201117
exponential_interest
2
sinusoid
2.5
2
120
2
0.090653
Calculate the compound interest: $150 invested at 9.065332501% annual rate for 4 years. FINAL:
212.245343
212.245343
exponential_interest
2
sinusoid
2.5
2
120
3
0.08774
Calculate the compound interest: $150 invested at 8.774005208% annual rate for 4 years. FINAL:
209.986676
209.986676
exponential_interest
2
sinusoid
2.5
2
120
4
0.084529
Calculate the compound interest: $150 invested at 8.452933329% annual rate for 4 years. FINAL:
207.518333
207.518333
exponential_interest
2
sinusoid
2.5
2
120
5
0.081145
Calculate the compound interest: $150 invested at 8.114455476% annual rate for 4 years. FINAL:
204.939806
204.939806
exponential_interest
2
sinusoid
2.5
2
120
6
0.077716
Calculate the compound interest: $150 invested at 7.771579164% annual rate for 4 years. FINAL:
202.352347
202.352347
exponential_interest
2
sinusoid
2.5
2
120
7
0.074375
Calculate the compound interest: $150 invested at 7.437480936% annual rate for 4 years. FINAL:
199.854774
199.854774
exponential_interest
2
sinusoid
2.5
2
120
8
0.07125
Calculate the compound interest: $150 invested at 7.125% annual rate for 4 years. FINAL:
197.539795
197.539795
exponential_interest
2
sinusoid
2.5
2
120
9
0.068461
Calculate the compound interest: $150 invested at 6.846144824% annual rate for 4 years. FINAL:
195.490963
195.490963
exponential_interest
2
sinusoid
2.5
2
120
10
0.066116
Calculate the compound interest: $150 invested at 6.611631654% annual rate for 4 years. FINAL:
193.780298
193.780298
exponential_interest
2
sinusoid
2.5
2
120
11
0.064305
Calculate the compound interest: $150 invested at 6.430472702% annual rate for 4 years. FINAL:
192.466533
192.466533
exponential_interest
2
sinusoid
2.5
2
120
12
0.063096
Calculate the compound interest: $150 invested at 6.309629804% annual rate for 4 years. FINAL:
191.593902
191.593902
exponential_interest
2
sinusoid
2.5
2
120
13
0.062537
Calculate the compound interest: $150 invested at 6.253746884% annual rate for 4 years. FINAL:
191.191365
191.191365
exponential_interest
2
sinusoid
2.5
2
120
14
0.06265
Calculate the compound interest: $150 invested at 6.264971493% annual rate for 4 years. FINAL:
191.272167
191.272167
exponential_interest
2
sinusoid
2.5
2
120
15
0.063429
Calculate the compound interest: $150 invested at 6.342872273% annual rate for 4 years. FINAL:
191.833656
191.833656
exponential_interest
2
sinusoid
2.5
2
120
16
0.064845
Calculate the compound interest: $150 invested at 6.484455543% annual rate for 4 years. FINAL:
192.857316
192.857316
exponential_interest
2
sinusoid
2.5
2
120
17
0.066843
Calculate the compound interest: $150 invested at 6.684280337% annual rate for 4 years. FINAL:
194.309031
194.309031
exponential_interest
2
sinusoid
2.5
2
120
18
0.069347
Calculate the compound interest: $150 invested at 6.934667499% annual rate for 4 years. FINAL:
196.13963
196.13963
exponential_interest
2
sinusoid
2.5
2
120
19
0.07226
Calculate the compound interest: $150 invested at 7.225994792% annual rate for 4 years. FINAL:
198.285792
198.285792
exponential_interest
2
sinusoid
2.5
2
120
20
0.075471
Calculate the compound interest: $150 invested at 7.547066671% annual rate for 4 years. FINAL:
200.671426
200.671426
exponential_interest
2
sinusoid
2.5
2
120
21
0.078855
Calculate the compound interest: $150 invested at 7.885544524% annual rate for 4 years. FINAL:
203.209633
203.209633
exponential_interest
2
sinusoid
2.5
2
120
22
0.082284
Calculate the compound interest: $150 invested at 8.228420836% annual rate for 4 years. FINAL:
205.805296
205.805296
exponential_interest
2
sinusoid
2.5
2
120
23
0.085625
Calculate the compound interest: $150 invested at 8.562519064% annual rate for 4 years. FINAL:
208.358349
208.358349
exponential_interest
2
sinusoid
2.5
2
120
24
0.08875
Calculate the compound interest: $150 invested at 8.875% annual rate for 4 years. FINAL:
210.767639
210.767639
exponential_interest
2
sinusoid
2.5
2
120
25
0.091539
Calculate the compound interest: $150 invested at 9.153855176% annual rate for 4 years. FINAL:
212.935257
212.935257
exponential_interest
2
sinusoid
2.5
2
120
26
0.093884
Calculate the compound interest: $150 invested at 9.388368346% annual rate for 4 years. FINAL:
214.771098
214.771098
exponential_interest
2
sinusoid
2.5
2
120
27
0.095695
Calculate the compound interest: $150 invested at 9.569527298% annual rate for 4 years. FINAL:
216.197372
216.197372
exponential_interest
2
sinusoid
2.5
2
120
28
0.096904
Calculate the compound interest: $150 invested at 9.690370196% annual rate for 4 years. FINAL:
217.152717
217.152717
exponential_interest
2
sinusoid
2.5
2
120
29
0.097463
Calculate the compound interest: $150 invested at 9.746253116% annual rate for 4 years. FINAL:
217.595578
217.595578
exponential_interest
2
sinusoid
2.5
2
120
30
0.09735
Calculate the compound interest: $150 invested at 9.735028507% annual rate for 4 years. FINAL:
217.506571
217.506571
exponential_interest
2
sinusoid
2.5
2
120
31
0.096571
Calculate the compound interest: $150 invested at 9.657127727% annual rate for 4 years. FINAL:
216.889598
216.889598
exponential_interest
2
sinusoid
2.5
2
120
32
0.095155
Calculate the compound interest: $150 invested at 9.515544457% annual rate for 4 years. FINAL:
215.771622
215.771622
exponential_interest
2
sinusoid
2.5
2
120
33
0.093157
Calculate the compound interest: $150 invested at 9.315719663% annual rate for 4 years. FINAL:
214.201117
214.201117
exponential_interest
2
sinusoid
2.5
2
120
34
0.090653
Calculate the compound interest: $150 invested at 9.065332501% annual rate for 4 years. FINAL:
212.245343
212.245343
exponential_interest
2
sinusoid
2.5
2
120
35
0.08774
Calculate the compound interest: $150 invested at 8.774005208% annual rate for 4 years. FINAL:
209.986676
209.986676