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
2
240
16
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
240
17
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
240
18
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
240
19
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
240
20
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
240
21
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
240
22
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
240
23
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
240
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
240
25
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
240
26
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
240
27
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
240
28
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
240
29
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
240
30
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
240
31
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
240
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
2
240
33
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
240
34
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
240
35
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
240
36
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
240
37
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
240
38
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
240
39
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
240
40
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
240
41
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
240
42
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
240
43
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
240
44
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
240
45
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
240
46
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
240
47
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
240
48
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
240
49
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
240
50
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
240
51
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
240
52
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
240
53
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
240
54
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
240
55
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
240
56
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
240
57
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
240
58
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
240
59
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
240
60
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
240
61
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
240
62
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
240
63
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
4
240
0
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
4
240
1
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
4
240
2
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
4
240
3
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
4
240
4
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
4
240
5
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
4
240
6
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
4
240
7
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
4
240
8
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
4
240
9
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
4
240
10
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
4
240
11
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
4
240
12
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
4
240
13
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
4
240
14
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
4
240
15
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
4
240
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
4
240
17
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
4
240
18
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
4
240
19
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
4
240
20
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
4
240
21
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
4
240
22
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
4
240
23
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
4
240
24
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
4
240
25
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
4
240
26
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
4
240
27
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
4
240
28
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
4
240
29
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
4
240
30
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
4
240
31
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
4
240
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
4
240
33
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
4
240
34
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
4
240
35
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
4
240
36
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
4
240
37
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
4
240
38
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
4
240
39
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
4
240
40
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
4
240
41
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
4
240
42
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
4
240
43
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
4
240
44
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
4
240
45
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
4
240
46
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
4
240
47
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
4
240
48
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
4
240
49
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
4
240
50
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
4
240
51
0.066116
Calculate the compound interest: $150 invested at 6.611631654% annual rate for 4 years. FINAL:
193.780298
193.780298