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
4
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
4
120
33
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
34
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
35
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
36
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
37
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
38
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
39
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
40
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
41
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
42
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
43
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
44
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
45
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
46
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
47
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
48
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
49
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
50
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
51
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
52
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
53
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
54
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
55
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
56
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
57
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
58
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
59
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
60
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
61
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
62
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
63
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
8
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
8
120
1
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
8
120
2
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
8
120
3
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
8
120
4
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
8
120
5
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
8
120
6
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
8
120
7
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
8
120
8
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
8
120
9
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
8
120
10
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
8
120
11
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
8
120
12
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
8
120
13
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
8
120
14
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
8
120
15
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
8
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
8
120
17
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
8
120
18
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
8
120
19
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
8
120
20
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
8
120
21
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
8
120
22
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
8
120
23
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
8
120
24
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
8
120
25
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
8
120
26
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
8
120
27
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
8
120
28
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
8
120
29
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
8
120
30
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
8
120
31
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
8
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
8
120
33
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
8
120
34
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
8
120
35
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
8
120
36
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
8
120
37
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
8
120
38
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
8
120
39
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
8
120
40
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
8
120
41
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
8
120
42
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
8
120
43
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
8
120
44
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
8
120
45
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
8
120
46
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
8
120
47
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
8
120
48
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
8
120
49
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
8
120
50
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
8
120
51
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
8
120
52
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
8
120
53
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
8
120
54
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
8
120
55
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
8
120
56
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
8
120
57
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
8
120
58
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
8
120
59
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
8
120
60
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
8
120
61
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
8
120
62
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
8
120
63
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
16
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
16
120
1
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
16
120
2
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
16
120
3
0.08875
Calculate the compound interest: $200 invested at 8.875% annual rate for 5 years. FINAL:
305.964356
305.964356