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
1
sinusoid
2.5
1
120
60
0.09735
Calculate the compound interest: $200 invested at 9.735028507% annual rate for 5 years. FINAL:
318.241197
318.241197
exponential_interest
1
sinusoid
2.5
1
120
61
0.097043
Calculate the compound interest: $200 invested at 9.704284714% annual rate for 5 years. FINAL:
317.795649
317.795649
exponential_interest
1
sinusoid
2.5
1
120
62
0.096571
Calculate the compound interest: $200 invested at 9.657127727% annual rate for 5 years. FINAL:
317.113204
317.113204
exponential_interest
1
sinusoid
2.5
1
120
63
0.09594
Calculate the compound interest: $200 invested at 9.594011694% annual rate for 5 years. FINAL:
316.20164
316.20164
exponential_interest
1
sinusoid
2.5
2
120
0
0.095155
Calculate the compound interest: $200 invested at 9.515544457% annual rate for 5 years. FINAL:
315.071288
315.071288
exponential_interest
1
sinusoid
2.5
2
120
1
0.093157
Calculate the compound interest: $200 invested at 9.315719663% annual rate for 5 years. FINAL:
312.207324
312.207324
exponential_interest
1
sinusoid
2.5
2
120
2
0.090653
Calculate the compound interest: $200 invested at 9.065332501% annual rate for 5 years. FINAL:
308.648119
308.648119
exponential_interest
1
sinusoid
2.5
2
120
3
0.08774
Calculate the compound interest: $200 invested at 8.774005208% annual rate for 5 years. FINAL:
304.547891
304.547891
exponential_interest
1
sinusoid
2.5
2
120
4
0.084529
Calculate the compound interest: $200 invested at 8.452933329% annual rate for 5 years. FINAL:
300.079626
300.079626
exponential_interest
1
sinusoid
2.5
2
120
5
0.081145
Calculate the compound interest: $200 invested at 8.114455476% annual rate for 5 years. FINAL:
295.426073
295.426073
exponential_interest
1
sinusoid
2.5
2
120
6
0.077716
Calculate the compound interest: $200 invested at 7.771579164% annual rate for 5 years. FINAL:
290.771093
290.771093
exponential_interest
1
sinusoid
2.5
2
120
7
0.074375
Calculate the compound interest: $200 invested at 7.437480936% annual rate for 5 years. FINAL:
286.291913
286.291913
exponential_interest
1
sinusoid
2.5
2
120
8
0.07125
Calculate the compound interest: $200 invested at 7.125% annual rate for 5 years. FINAL:
282.152674
282.152674
exponential_interest
1
sinusoid
2.5
2
120
9
0.068461
Calculate the compound interest: $200 invested at 6.846144824% annual rate for 5 years. FINAL:
278.49941
278.49941
exponential_interest
1
sinusoid
2.5
2
120
10
0.066116
Calculate the compound interest: $200 invested at 6.611631654% annual rate for 5 years. FINAL:
275.45645
275.45645
exponential_interest
1
sinusoid
2.5
2
120
11
0.064305
Calculate the compound interest: $200 invested at 6.430472702% annual rate for 5 years. FINAL:
273.124054
273.124054
exponential_interest
1
sinusoid
2.5
2
120
12
0.063096
Calculate the compound interest: $200 invested at 6.309629804% annual rate for 5 years. FINAL:
271.577024
271.577024
exponential_interest
1
sinusoid
2.5
2
120
13
0.062537
Calculate the compound interest: $200 invested at 6.253746884% annual rate for 5 years. FINAL:
270.863986
270.863986
exponential_interest
1
sinusoid
2.5
2
120
14
0.06265
Calculate the compound interest: $200 invested at 6.264971493% annual rate for 5 years. FINAL:
271.007086
271.007086
exponential_interest
1
sinusoid
2.5
2
120
15
0.063429
Calculate the compound interest: $200 invested at 6.342872273% annual rate for 5 years. FINAL:
272.001893
272.001893
exponential_interest
1
sinusoid
2.5
2
120
16
0.064845
Calculate the compound interest: $200 invested at 6.484455543% annual rate for 5 years. FINAL:
273.817417
273.817417
exponential_interest
1
sinusoid
2.5
2
120
17
0.066843
Calculate the compound interest: $200 invested at 6.684280337% annual rate for 5 years. FINAL:
276.396256
276.396256
exponential_interest
1
sinusoid
2.5
2
120
18
0.069347
Calculate the compound interest: $200 invested at 6.934667499% annual rate for 5 years. FINAL:
279.655015
279.655015
exponential_interest
1
sinusoid
2.5
2
120
19
0.07226
Calculate the compound interest: $200 invested at 7.225994792% annual rate for 5 years. FINAL:
283.485217
283.485217
exponential_interest
1
sinusoid
2.5
2
120
20
0.075471
Calculate the compound interest: $200 invested at 7.547066671% annual rate for 5 years. FINAL:
287.754977
287.754977
exponential_interest
1
sinusoid
2.5
2
120
21
0.078855
Calculate the compound interest: $200 invested at 7.885544524% annual rate for 5 years. FINAL:
292.311758
292.311758
exponential_interest
1
sinusoid
2.5
2
120
22
0.082284
Calculate the compound interest: $200 invested at 8.228420836% annual rate for 5 years. FINAL:
296.986429
296.986429
exponential_interest
1
sinusoid
2.5
2
120
23
0.085625
Calculate the compound interest: $200 invested at 8.562519064% annual rate for 5 years. FINAL:
301.598763
301.598763
exponential_interest
1
sinusoid
2.5
2
120
24
0.08875
Calculate the compound interest: $200 invested at 8.875% annual rate for 5 years. FINAL:
305.964356
305.964356
exponential_interest
1
sinusoid
2.5
2
120
25
0.091539
Calculate the compound interest: $200 invested at 9.153855176% annual rate for 5 years. FINAL:
309.902722
309.902722
exponential_interest
1
sinusoid
2.5
2
120
26
0.093884
Calculate the compound interest: $200 invested at 9.388368346% annual rate for 5 years. FINAL:
313.246132
313.246132
exponential_interest
1
sinusoid
2.5
2
120
27
0.095695
Calculate the compound interest: $200 invested at 9.569527298% annual rate for 5 years. FINAL:
315.848585
315.848585
exponential_interest
1
sinusoid
2.5
2
120
28
0.096904
Calculate the compound interest: $200 invested at 9.690370196% annual rate for 5 years. FINAL:
317.594159
317.594159
exponential_interest
1
sinusoid
2.5
2
120
29
0.097463
Calculate the compound interest: $200 invested at 9.746253116% annual rate for 5 years. FINAL:
318.403992
318.403992
exponential_interest
1
sinusoid
2.5
2
120
30
0.09735
Calculate the compound interest: $200 invested at 9.735028507% annual rate for 5 years. FINAL:
318.241197
318.241197
exponential_interest
1
sinusoid
2.5
2
120
31
0.096571
Calculate the compound interest: $200 invested at 9.657127727% annual rate for 5 years. FINAL:
317.113204
317.113204
exponential_interest
1
sinusoid
2.5
2
120
32
0.095155
Calculate the compound interest: $200 invested at 9.515544457% annual rate for 5 years. FINAL:
315.071288
315.071288
exponential_interest
1
sinusoid
2.5
2
120
33
0.093157
Calculate the compound interest: $200 invested at 9.315719663% annual rate for 5 years. FINAL:
312.207324
312.207324
exponential_interest
1
sinusoid
2.5
2
120
34
0.090653
Calculate the compound interest: $200 invested at 9.065332501% annual rate for 5 years. FINAL:
308.648119
308.648119
exponential_interest
1
sinusoid
2.5
2
120
35
0.08774
Calculate the compound interest: $200 invested at 8.774005208% annual rate for 5 years. FINAL:
304.547891
304.547891
exponential_interest
1
sinusoid
2.5
2
120
36
0.084529
Calculate the compound interest: $200 invested at 8.452933329% annual rate for 5 years. FINAL:
300.079626
300.079626
exponential_interest
1
sinusoid
2.5
2
120
37
0.081145
Calculate the compound interest: $200 invested at 8.114455476% annual rate for 5 years. FINAL:
295.426073
295.426073
exponential_interest
1
sinusoid
2.5
2
120
38
0.077716
Calculate the compound interest: $200 invested at 7.771579164% annual rate for 5 years. FINAL:
290.771093
290.771093
exponential_interest
1
sinusoid
2.5
2
120
39
0.074375
Calculate the compound interest: $200 invested at 7.437480936% annual rate for 5 years. FINAL:
286.291913
286.291913
exponential_interest
1
sinusoid
2.5
2
120
40
0.07125
Calculate the compound interest: $200 invested at 7.125% annual rate for 5 years. FINAL:
282.152674
282.152674
exponential_interest
1
sinusoid
2.5
2
120
41
0.068461
Calculate the compound interest: $200 invested at 6.846144824% annual rate for 5 years. FINAL:
278.49941
278.49941
exponential_interest
1
sinusoid
2.5
2
120
42
0.066116
Calculate the compound interest: $200 invested at 6.611631654% annual rate for 5 years. FINAL:
275.45645
275.45645
exponential_interest
1
sinusoid
2.5
2
120
43
0.064305
Calculate the compound interest: $200 invested at 6.430472702% annual rate for 5 years. FINAL:
273.124054
273.124054
exponential_interest
1
sinusoid
2.5
2
120
44
0.063096
Calculate the compound interest: $200 invested at 6.309629804% annual rate for 5 years. FINAL:
271.577024
271.577024
exponential_interest
1
sinusoid
2.5
2
120
45
0.062537
Calculate the compound interest: $200 invested at 6.253746884% annual rate for 5 years. FINAL:
270.863986
270.863986
exponential_interest
1
sinusoid
2.5
2
120
46
0.06265
Calculate the compound interest: $200 invested at 6.264971493% annual rate for 5 years. FINAL:
271.007086
271.007086
exponential_interest
1
sinusoid
2.5
2
120
47
0.063429
Calculate the compound interest: $200 invested at 6.342872273% annual rate for 5 years. FINAL:
272.001893
272.001893
exponential_interest
1
sinusoid
2.5
2
120
48
0.064845
Calculate the compound interest: $200 invested at 6.484455543% annual rate for 5 years. FINAL:
273.817417
273.817417
exponential_interest
1
sinusoid
2.5
2
120
49
0.066843
Calculate the compound interest: $200 invested at 6.684280337% annual rate for 5 years. FINAL:
276.396256
276.396256
exponential_interest
1
sinusoid
2.5
2
120
50
0.069347
Calculate the compound interest: $200 invested at 6.934667499% annual rate for 5 years. FINAL:
279.655015
279.655015
exponential_interest
1
sinusoid
2.5
2
120
51
0.07226
Calculate the compound interest: $200 invested at 7.225994792% annual rate for 5 years. FINAL:
283.485217
283.485217
exponential_interest
1
sinusoid
2.5
2
120
52
0.075471
Calculate the compound interest: $200 invested at 7.547066671% annual rate for 5 years. FINAL:
287.754977
287.754977
exponential_interest
1
sinusoid
2.5
2
120
53
0.078855
Calculate the compound interest: $200 invested at 7.885544524% annual rate for 5 years. FINAL:
292.311758
292.311758
exponential_interest
1
sinusoid
2.5
2
120
54
0.082284
Calculate the compound interest: $200 invested at 8.228420836% annual rate for 5 years. FINAL:
296.986429
296.986429
exponential_interest
1
sinusoid
2.5
2
120
55
0.085625
Calculate the compound interest: $200 invested at 8.562519064% annual rate for 5 years. FINAL:
301.598763
301.598763
exponential_interest
1
sinusoid
2.5
2
120
56
0.08875
Calculate the compound interest: $200 invested at 8.875% annual rate for 5 years. FINAL:
305.964356
305.964356
exponential_interest
1
sinusoid
2.5
2
120
57
0.091539
Calculate the compound interest: $200 invested at 9.153855176% annual rate for 5 years. FINAL:
309.902722
309.902722
exponential_interest
1
sinusoid
2.5
2
120
58
0.093884
Calculate the compound interest: $200 invested at 9.388368346% annual rate for 5 years. FINAL:
313.246132
313.246132
exponential_interest
1
sinusoid
2.5
2
120
59
0.095695
Calculate the compound interest: $200 invested at 9.569527298% annual rate for 5 years. FINAL:
315.848585
315.848585
exponential_interest
1
sinusoid
2.5
2
120
60
0.096904
Calculate the compound interest: $200 invested at 9.690370196% annual rate for 5 years. FINAL:
317.594159
317.594159
exponential_interest
1
sinusoid
2.5
2
120
61
0.097463
Calculate the compound interest: $200 invested at 9.746253116% annual rate for 5 years. FINAL:
318.403992
318.403992
exponential_interest
1
sinusoid
2.5
2
120
62
0.09735
Calculate the compound interest: $200 invested at 9.735028507% annual rate for 5 years. FINAL:
318.241197
318.241197
exponential_interest
1
sinusoid
2.5
2
120
63
0.096571
Calculate the compound interest: $200 invested at 9.657127727% annual rate for 5 years. FINAL:
317.113204
317.113204
exponential_interest
1
sinusoid
2.5
4
120
0
0.095155
Calculate the compound interest: $200 invested at 9.515544457% annual rate for 5 years. FINAL:
315.071288
315.071288
exponential_interest
1
sinusoid
2.5
4
120
1
0.090653
Calculate the compound interest: $200 invested at 9.065332501% annual rate for 5 years. FINAL:
308.648119
308.648119
exponential_interest
1
sinusoid
2.5
4
120
2
0.084529
Calculate the compound interest: $200 invested at 8.452933329% annual rate for 5 years. FINAL:
300.079626
300.079626
exponential_interest
1
sinusoid
2.5
4
120
3
0.077716
Calculate the compound interest: $200 invested at 7.771579164% annual rate for 5 years. FINAL:
290.771093
290.771093
exponential_interest
1
sinusoid
2.5
4
120
4
0.07125
Calculate the compound interest: $200 invested at 7.125% annual rate for 5 years. FINAL:
282.152674
282.152674
exponential_interest
1
sinusoid
2.5
4
120
5
0.066116
Calculate the compound interest: $200 invested at 6.611631654% annual rate for 5 years. FINAL:
275.45645
275.45645
exponential_interest
1
sinusoid
2.5
4
120
6
0.063096
Calculate the compound interest: $200 invested at 6.309629804% annual rate for 5 years. FINAL:
271.577024
271.577024
exponential_interest
1
sinusoid
2.5
4
120
7
0.06265
Calculate the compound interest: $200 invested at 6.264971493% annual rate for 5 years. FINAL:
271.007086
271.007086
exponential_interest
1
sinusoid
2.5
4
120
8
0.064845
Calculate the compound interest: $200 invested at 6.484455543% annual rate for 5 years. FINAL:
273.817417
273.817417
exponential_interest
1
sinusoid
2.5
4
120
9
0.069347
Calculate the compound interest: $200 invested at 6.934667499% annual rate for 5 years. FINAL:
279.655015
279.655015
exponential_interest
1
sinusoid
2.5
4
120
10
0.075471
Calculate the compound interest: $200 invested at 7.547066671% annual rate for 5 years. FINAL:
287.754977
287.754977
exponential_interest
1
sinusoid
2.5
4
120
11
0.082284
Calculate the compound interest: $200 invested at 8.228420836% annual rate for 5 years. FINAL:
296.986429
296.986429
exponential_interest
1
sinusoid
2.5
4
120
12
0.08875
Calculate the compound interest: $200 invested at 8.875% annual rate for 5 years. FINAL:
305.964356
305.964356
exponential_interest
1
sinusoid
2.5
4
120
13
0.093884
Calculate the compound interest: $200 invested at 9.388368346% annual rate for 5 years. FINAL:
313.246132
313.246132
exponential_interest
1
sinusoid
2.5
4
120
14
0.096904
Calculate the compound interest: $200 invested at 9.690370196% annual rate for 5 years. FINAL:
317.594159
317.594159
exponential_interest
1
sinusoid
2.5
4
120
15
0.09735
Calculate the compound interest: $200 invested at 9.735028507% annual rate for 5 years. FINAL:
318.241197
318.241197
exponential_interest
1
sinusoid
2.5
4
120
16
0.095155
Calculate the compound interest: $200 invested at 9.515544457% annual rate for 5 years. FINAL:
315.071288
315.071288
exponential_interest
1
sinusoid
2.5
4
120
17
0.090653
Calculate the compound interest: $200 invested at 9.065332501% annual rate for 5 years. FINAL:
308.648119
308.648119
exponential_interest
1
sinusoid
2.5
4
120
18
0.084529
Calculate the compound interest: $200 invested at 8.452933329% annual rate for 5 years. FINAL:
300.079626
300.079626
exponential_interest
1
sinusoid
2.5
4
120
19
0.077716
Calculate the compound interest: $200 invested at 7.771579164% annual rate for 5 years. FINAL:
290.771093
290.771093
exponential_interest
1
sinusoid
2.5
4
120
20
0.07125
Calculate the compound interest: $200 invested at 7.125% annual rate for 5 years. FINAL:
282.152674
282.152674
exponential_interest
1
sinusoid
2.5
4
120
21
0.066116
Calculate the compound interest: $200 invested at 6.611631654% annual rate for 5 years. FINAL:
275.45645
275.45645
exponential_interest
1
sinusoid
2.5
4
120
22
0.063096
Calculate the compound interest: $200 invested at 6.309629804% annual rate for 5 years. FINAL:
271.577024
271.577024
exponential_interest
1
sinusoid
2.5
4
120
23
0.06265
Calculate the compound interest: $200 invested at 6.264971493% annual rate for 5 years. FINAL:
271.007086
271.007086
exponential_interest
1
sinusoid
2.5
4
120
24
0.064845
Calculate the compound interest: $200 invested at 6.484455543% annual rate for 5 years. FINAL:
273.817417
273.817417
exponential_interest
1
sinusoid
2.5
4
120
25
0.069347
Calculate the compound interest: $200 invested at 6.934667499% annual rate for 5 years. FINAL:
279.655015
279.655015
exponential_interest
1
sinusoid
2.5
4
120
26
0.075471
Calculate the compound interest: $200 invested at 7.547066671% annual rate for 5 years. FINAL:
287.754977
287.754977
exponential_interest
1
sinusoid
2.5
4
120
27
0.082284
Calculate the compound interest: $200 invested at 8.228420836% annual rate for 5 years. FINAL:
296.986429
296.986429
exponential_interest
1
sinusoid
2.5
4
120
28
0.08875
Calculate the compound interest: $200 invested at 8.875% annual rate for 5 years. FINAL:
305.964356
305.964356
exponential_interest
1
sinusoid
2.5
4
120
29
0.093884
Calculate the compound interest: $200 invested at 9.388368346% annual rate for 5 years. FINAL:
313.246132
313.246132
exponential_interest
1
sinusoid
2.5
4
120
30
0.096904
Calculate the compound interest: $200 invested at 9.690370196% annual rate for 5 years. FINAL:
317.594159
317.594159
exponential_interest
1
sinusoid
2.5
4
120
31
0.09735
Calculate the compound interest: $200 invested at 9.735028507% annual rate for 5 years. FINAL:
318.241197
318.241197