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
sinusoid
2.5
1
240
0
0.064845
Calculate the compound interest: $100 invested at 6.484455543% annual rate for 6 years. FINAL:
145.786493
145.786493
exponential_interest
0
sinusoid
2.5
1
240
1
0.06406
Calculate the compound interest: $100 invested at 6.405988306% annual rate for 6 years. FINAL:
145.143108
145.143108
exponential_interest
0
sinusoid
2.5
1
240
2
0.063429
Calculate the compound interest: $100 invested at 6.342872273% annual rate for 6 years. FINAL:
144.627313
144.627313
exponential_interest
0
sinusoid
2.5
1
240
3
0.062957
Calculate the compound interest: $100 invested at 6.295715286% annual rate for 6 years. FINAL:
144.242936
144.242936
exponential_interest
0
sinusoid
2.5
1
240
4
0.06265
Calculate the compound interest: $100 invested at 6.264971493% annual rate for 6 years. FINAL:
143.992801
143.992801
exponential_interest
0
sinusoid
2.5
1
240
5
0.062509
Calculate the compound interest: $100 invested at 6.250936972% annual rate for 6 years. FINAL:
143.878735
143.878735
exponential_interest
0
sinusoid
2.5
1
240
6
0.062537
Calculate the compound interest: $100 invested at 6.253746884% annual rate for 6 years. FINAL:
143.901567
143.901567
exponential_interest
0
sinusoid
2.5
1
240
7
0.062734
Calculate the compound interest: $100 invested at 6.273374169% annual rate for 6 years. FINAL:
144.06113
144.06113
exponential_interest
0
sinusoid
2.5
1
240
8
0.063096
Calculate the compound interest: $100 invested at 6.309629804% annual rate for 6 years. FINAL:
144.356264
144.356264
exponential_interest
0
sinusoid
2.5
1
240
9
0.063622
Calculate the compound interest: $100 invested at 6.362164628% annual rate for 6 years. FINAL:
144.784811
144.784811
exponential_interest
0
sinusoid
2.5
1
240
10
0.064305
Calculate the compound interest: $100 invested at 6.430472702% annual rate for 6 years. FINAL:
145.343611
145.343611
exponential_interest
0
sinusoid
2.5
1
240
11
0.065139
Calculate the compound interest: $100 invested at 6.513896182% annual rate for 6 years. FINAL:
146.028501
146.028501
exponential_interest
0
sinusoid
2.5
1
240
12
0.066116
Calculate the compound interest: $100 invested at 6.611631654% annual rate for 6 years. FINAL:
146.834308
146.834308
exponential_interest
0
sinusoid
2.5
1
240
13
0.067227
Calculate the compound interest: $100 invested at 6.722737873% annual rate for 6 years. FINAL:
147.754851
147.754851
exponential_interest
0
sinusoid
2.5
1
240
14
0.068461
Calculate the compound interest: $100 invested at 6.846144824% annual rate for 6 years. FINAL:
148.782941
148.782941
exponential_interest
0
sinusoid
2.5
1
240
15
0.069807
Calculate the compound interest: $100 invested at 6.98066403% annual rate for 6 years. FINAL:
149.91039
149.91039
exponential_interest
0
sinusoid
2.5
1
240
16
0.07125
Calculate the compound interest: $100 invested at 7.125% annual rate for 6 years. FINAL:
151.128026
151.128026
exponential_interest
0
sinusoid
2.5
1
240
17
0.072778
Calculate the compound interest: $100 invested at 7.277762698% annual rate for 6 years. FINAL:
152.425717
152.425717
exponential_interest
0
sinusoid
2.5
1
240
18
0.074375
Calculate the compound interest: $100 invested at 7.437480936% annual rate for 6 years. FINAL:
153.79241
153.79241
exponential_interest
0
sinusoid
2.5
1
240
19
0.076026
Calculate the compound interest: $100 invested at 7.60261654% annual rate for 6 years. FINAL:
155.216181
155.216181
exponential_interest
0
sinusoid
2.5
1
240
20
0.077716
Calculate the compound interest: $100 invested at 7.771579164% annual rate for 6 years. FINAL:
156.684299
156.684299
exponential_interest
0
sinusoid
2.5
1
240
21
0.079427
Calculate the compound interest: $100 invested at 7.942741605% annual rate for 6 years. FINAL:
158.183313
158.183313
exponential_interest
0
sinusoid
2.5
1
240
22
0.081145
Calculate the compound interest: $100 invested at 8.114455476% annual rate for 6 years. FINAL:
159.699145
159.699145
exponential_interest
0
sinusoid
2.5
1
240
23
0.082851
Calculate the compound interest: $100 invested at 8.285067078% annual rate for 6 years. FINAL:
161.217217
161.217217
exponential_interest
0
sinusoid
2.5
1
240
24
0.084529
Calculate the compound interest: $100 invested at 8.452933329% annual rate for 6 years. FINAL:
162.722578
162.722578
exponential_interest
0
sinusoid
2.5
1
240
25
0.086164
Calculate the compound interest: $100 invested at 8.616437584% annual rate for 6 years. FINAL:
164.200066
164.200066
exponential_interest
0
sinusoid
2.5
1
240
26
0.08774
Calculate the compound interest: $100 invested at 8.774005208% annual rate for 6 years. FINAL:
165.634469
165.634469
exponential_interest
0
sinusoid
2.5
1
240
27
0.089241
Calculate the compound interest: $100 invested at 8.924118739% annual rate for 6 years. FINAL:
167.010713
167.010713
exponential_interest
0
sinusoid
2.5
1
240
28
0.090653
Calculate the compound interest: $100 invested at 9.065332501% annual rate for 6 years. FINAL:
168.314048
168.314048
exponential_interest
0
sinusoid
2.5
1
240
29
0.091963
Calculate the compound interest: $100 invested at 9.196286529% annual rate for 6 years. FINAL:
169.530256
169.530256
exponential_interest
0
sinusoid
2.5
1
240
30
0.093157
Calculate the compound interest: $100 invested at 9.315719663% annual rate for 6 years. FINAL:
170.645842
170.645842
exponential_interest
0
sinusoid
2.5
1
240
31
0.094225
Calculate the compound interest: $100 invested at 9.422481698% annual rate for 6 years. FINAL:
171.648243
171.648243
exponential_interest
0
sinusoid
2.5
1
240
32
0.095155
Calculate the compound interest: $100 invested at 9.515544457% annual rate for 6 years. FINAL:
172.526018
172.526018
exponential_interest
0
sinusoid
2.5
1
240
33
0.09594
Calculate the compound interest: $100 invested at 9.594011694% annual rate for 6 years. FINAL:
173.269031
173.269031
exponential_interest
0
sinusoid
2.5
1
240
34
0.096571
Calculate the compound interest: $100 invested at 9.657127727% annual rate for 6 years. FINAL:
173.868616
173.868616
exponential_interest
0
sinusoid
2.5
1
240
35
0.097043
Calculate the compound interest: $100 invested at 9.704284714% annual rate for 6 years. FINAL:
174.317722
174.317722
exponential_interest
0
sinusoid
2.5
1
240
36
0.09735
Calculate the compound interest: $100 invested at 9.735028507% annual rate for 6 years. FINAL:
174.611034
174.611034
exponential_interest
0
sinusoid
2.5
1
240
37
0.097491
Calculate the compound interest: $100 invested at 9.749063028% annual rate for 6 years. FINAL:
174.745068
174.745068
exponential_interest
0
sinusoid
2.5
1
240
38
0.097463
Calculate the compound interest: $100 invested at 9.746253116% annual rate for 6 years. FINAL:
174.718226
174.718226
exponential_interest
0
sinusoid
2.5
1
240
39
0.097266
Calculate the compound interest: $100 invested at 9.726625831% annual rate for 6 years. FINAL:
174.530827
174.530827
exponential_interest
0
sinusoid
2.5
1
240
40
0.096904
Calculate the compound interest: $100 invested at 9.690370196% annual rate for 6 years. FINAL:
174.185104
174.185104
exponential_interest
0
sinusoid
2.5
1
240
41
0.096378
Calculate the compound interest: $100 invested at 9.637835372% annual rate for 6 years. FINAL:
173.685161
173.685161
exponential_interest
0
sinusoid
2.5
1
240
42
0.095695
Calculate the compound interest: $100 invested at 9.569527298% annual rate for 6 years. FINAL:
173.036901
173.036901
exponential_interest
0
sinusoid
2.5
1
240
43
0.094861
Calculate the compound interest: $100 invested at 9.486103818% annual rate for 6 years. FINAL:
172.247928
172.247928
exponential_interest
0
sinusoid
2.5
1
240
44
0.093884
Calculate the compound interest: $100 invested at 9.388368346% annual rate for 6 years. FINAL:
171.327417
171.327417
exponential_interest
0
sinusoid
2.5
1
240
45
0.092773
Calculate the compound interest: $100 invested at 9.277262127% annual rate for 6 years. FINAL:
170.285956
170.285956
exponential_interest
0
sinusoid
2.5
1
240
46
0.091539
Calculate the compound interest: $100 invested at 9.153855176% annual rate for 6 years. FINAL:
169.135384
169.135384
exponential_interest
0
sinusoid
2.5
1
240
47
0.090193
Calculate the compound interest: $100 invested at 9.01933597% annual rate for 6 years. FINAL:
167.888595
167.888595
exponential_interest
0
sinusoid
2.5
1
240
48
0.08875
Calculate the compound interest: $100 invested at 8.875% annual rate for 6 years. FINAL:
166.559346
166.559346
exponential_interest
0
sinusoid
2.5
1
240
49
0.087222
Calculate the compound interest: $100 invested at 8.722237302% annual rate for 6 years. FINAL:
165.162058
165.162058
exponential_interest
0
sinusoid
2.5
1
240
50
0.085625
Calculate the compound interest: $100 invested at 8.562519064% annual rate for 6 years. FINAL:
163.711607
163.711607
exponential_interest
0
sinusoid
2.5
1
240
51
0.083974
Calculate the compound interest: $100 invested at 8.39738346% annual rate for 6 years. FINAL:
162.223137
162.223137
exponential_interest
0
sinusoid
2.5
1
240
52
0.082284
Calculate the compound interest: $100 invested at 8.228420836% annual rate for 6 years. FINAL:
160.711861
160.711861
exponential_interest
0
sinusoid
2.5
1
240
53
0.080573
Calculate the compound interest: $100 invested at 8.057258395% annual rate for 6 years. FINAL:
159.19289
159.19289
exponential_interest
0
sinusoid
2.5
1
240
54
0.078855
Calculate the compound interest: $100 invested at 7.885544524% annual rate for 6 years. FINAL:
157.681066
157.681066
exponential_interest
0
sinusoid
2.5
1
240
55
0.077149
Calculate the compound interest: $100 invested at 7.714932922% annual rate for 6 years. FINAL:
156.190815
156.190815
exponential_interest
0
sinusoid
2.5
1
240
56
0.075471
Calculate the compound interest: $100 invested at 7.547066671% annual rate for 6 years. FINAL:
154.736018
154.736018
exponential_interest
0
sinusoid
2.5
1
240
57
0.073836
Calculate the compound interest: $100 invested at 7.383562416% annual rate for 6 years. FINAL:
153.329897
153.329897
exponential_interest
0
sinusoid
2.5
1
240
58
0.07226
Calculate the compound interest: $100 invested at 7.225994792% annual rate for 6 years. FINAL:
151.984922
151.984922
exponential_interest
0
sinusoid
2.5
1
240
59
0.070759
Calculate the compound interest: $100 invested at 7.075881261% annual rate for 6 years. FINAL:
150.712733
150.712733
exponential_interest
0
sinusoid
2.5
1
240
60
0.069347
Calculate the compound interest: $100 invested at 6.934667499% annual rate for 6 years. FINAL:
149.52408
149.52408
exponential_interest
0
sinusoid
2.5
1
240
61
0.068037
Calculate the compound interest: $100 invested at 6.803713471% annual rate for 6 years. FINAL:
148.42878
148.42878
exponential_interest
0
sinusoid
2.5
1
240
62
0.066843
Calculate the compound interest: $100 invested at 6.684280337% annual rate for 6 years. FINAL:
147.435678
147.435678
exponential_interest
0
sinusoid
2.5
1
240
63
0.065775
Calculate the compound interest: $100 invested at 6.577518302% annual rate for 6 years. FINAL:
146.552631
146.552631
exponential_interest
0
sinusoid
2.5
2
240
0
0.064845
Calculate the compound interest: $100 invested at 6.484455543% annual rate for 6 years. FINAL:
145.786493
145.786493
exponential_interest
0
sinusoid
2.5
2
240
1
0.063429
Calculate the compound interest: $100 invested at 6.342872273% annual rate for 6 years. FINAL:
144.627313
144.627313
exponential_interest
0
sinusoid
2.5
2
240
2
0.06265
Calculate the compound interest: $100 invested at 6.264971493% annual rate for 6 years. FINAL:
143.992801
143.992801
exponential_interest
0
sinusoid
2.5
2
240
3
0.062537
Calculate the compound interest: $100 invested at 6.253746884% annual rate for 6 years. FINAL:
143.901567
143.901567
exponential_interest
0
sinusoid
2.5
2
240
4
0.063096
Calculate the compound interest: $100 invested at 6.309629804% annual rate for 6 years. FINAL:
144.356264
144.356264
exponential_interest
0
sinusoid
2.5
2
240
5
0.064305
Calculate the compound interest: $100 invested at 6.430472702% annual rate for 6 years. FINAL:
145.343611
145.343611
exponential_interest
0
sinusoid
2.5
2
240
6
0.066116
Calculate the compound interest: $100 invested at 6.611631654% annual rate for 6 years. FINAL:
146.834308
146.834308
exponential_interest
0
sinusoid
2.5
2
240
7
0.068461
Calculate the compound interest: $100 invested at 6.846144824% annual rate for 6 years. FINAL:
148.782941
148.782941
exponential_interest
0
sinusoid
2.5
2
240
8
0.07125
Calculate the compound interest: $100 invested at 7.125% annual rate for 6 years. FINAL:
151.128026
151.128026
exponential_interest
0
sinusoid
2.5
2
240
9
0.074375
Calculate the compound interest: $100 invested at 7.437480936% annual rate for 6 years. FINAL:
153.79241
153.79241
exponential_interest
0
sinusoid
2.5
2
240
10
0.077716
Calculate the compound interest: $100 invested at 7.771579164% annual rate for 6 years. FINAL:
156.684299
156.684299
exponential_interest
0
sinusoid
2.5
2
240
11
0.081145
Calculate the compound interest: $100 invested at 8.114455476% annual rate for 6 years. FINAL:
159.699145
159.699145
exponential_interest
0
sinusoid
2.5
2
240
12
0.084529
Calculate the compound interest: $100 invested at 8.452933329% annual rate for 6 years. FINAL:
162.722578
162.722578
exponential_interest
0
sinusoid
2.5
2
240
13
0.08774
Calculate the compound interest: $100 invested at 8.774005208% annual rate for 6 years. FINAL:
165.634469
165.634469
exponential_interest
0
sinusoid
2.5
2
240
14
0.090653
Calculate the compound interest: $100 invested at 9.065332501% annual rate for 6 years. FINAL:
168.314048
168.314048
exponential_interest
0
sinusoid
2.5
2
240
15
0.093157
Calculate the compound interest: $100 invested at 9.315719663% annual rate for 6 years. FINAL:
170.645842
170.645842
exponential_interest
0
sinusoid
2.5
2
240
16
0.095155
Calculate the compound interest: $100 invested at 9.515544457% annual rate for 6 years. FINAL:
172.526018
172.526018
exponential_interest
0
sinusoid
2.5
2
240
17
0.096571
Calculate the compound interest: $100 invested at 9.657127727% annual rate for 6 years. FINAL:
173.868616
173.868616
exponential_interest
0
sinusoid
2.5
2
240
18
0.09735
Calculate the compound interest: $100 invested at 9.735028507% annual rate for 6 years. FINAL:
174.611034
174.611034
exponential_interest
0
sinusoid
2.5
2
240
19
0.097463
Calculate the compound interest: $100 invested at 9.746253116% annual rate for 6 years. FINAL:
174.718226
174.718226
exponential_interest
0
sinusoid
2.5
2
240
20
0.096904
Calculate the compound interest: $100 invested at 9.690370196% annual rate for 6 years. FINAL:
174.185104
174.185104
exponential_interest
0
sinusoid
2.5
2
240
21
0.095695
Calculate the compound interest: $100 invested at 9.569527298% annual rate for 6 years. FINAL:
173.036901
173.036901
exponential_interest
0
sinusoid
2.5
2
240
22
0.093884
Calculate the compound interest: $100 invested at 9.388368346% annual rate for 6 years. FINAL:
171.327417
171.327417
exponential_interest
0
sinusoid
2.5
2
240
23
0.091539
Calculate the compound interest: $100 invested at 9.153855176% annual rate for 6 years. FINAL:
169.135384
169.135384
exponential_interest
0
sinusoid
2.5
2
240
24
0.08875
Calculate the compound interest: $100 invested at 8.875% annual rate for 6 years. FINAL:
166.559346
166.559346
exponential_interest
0
sinusoid
2.5
2
240
25
0.085625
Calculate the compound interest: $100 invested at 8.562519064% annual rate for 6 years. FINAL:
163.711607
163.711607
exponential_interest
0
sinusoid
2.5
2
240
26
0.082284
Calculate the compound interest: $100 invested at 8.228420836% annual rate for 6 years. FINAL:
160.711861
160.711861
exponential_interest
0
sinusoid
2.5
2
240
27
0.078855
Calculate the compound interest: $100 invested at 7.885544524% annual rate for 6 years. FINAL:
157.681066
157.681066
exponential_interest
0
sinusoid
2.5
2
240
28
0.075471
Calculate the compound interest: $100 invested at 7.547066671% annual rate for 6 years. FINAL:
154.736018
154.736018
exponential_interest
0
sinusoid
2.5
2
240
29
0.07226
Calculate the compound interest: $100 invested at 7.225994792% annual rate for 6 years. FINAL:
151.984922
151.984922
exponential_interest
0
sinusoid
2.5
2
240
30
0.069347
Calculate the compound interest: $100 invested at 6.934667499% annual rate for 6 years. FINAL:
149.52408
149.52408
exponential_interest
0
sinusoid
2.5
2
240
31
0.066843
Calculate the compound interest: $100 invested at 6.684280337% annual rate for 6 years. FINAL:
147.435678
147.435678
exponential_interest
0
sinusoid
2.5
2
240
32
0.064845
Calculate the compound interest: $100 invested at 6.484455543% annual rate for 6 years. FINAL:
145.786493
145.786493
exponential_interest
0
sinusoid
2.5
2
240
33
0.063429
Calculate the compound interest: $100 invested at 6.342872273% annual rate for 6 years. FINAL:
144.627313
144.627313
exponential_interest
0
sinusoid
2.5
2
240
34
0.06265
Calculate the compound interest: $100 invested at 6.264971493% annual rate for 6 years. FINAL:
143.992801
143.992801
exponential_interest
0
sinusoid
2.5
2
240
35
0.062537
Calculate the compound interest: $100 invested at 6.253746884% annual rate for 6 years. FINAL:
143.901567
143.901567