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
240
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
240
13
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
240
14
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
240
15
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
240
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
4
240
17
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
240
18
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
240
19
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
240
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
240
21
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
240
22
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
240
23
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
240
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
4
240
25
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
240
26
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
240
27
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
240
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
240
29
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
240
30
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
240
31
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
240
32
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
240
33
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
240
34
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
240
35
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
240
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
240
37
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
240
38
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
240
39
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
240
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
4
240
41
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
240
42
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
240
43
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
240
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
240
45
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
240
46
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
240
47
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
240
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
4
240
49
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
240
50
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
240
51
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
240
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
240
53
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
240
54
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
240
55
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
240
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
4
240
57
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
240
58
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
240
59
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
240
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
240
61
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
240
62
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
240
63
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
8
240
0
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
240
1
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
240
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
240
3
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
240
4
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
240
5
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
240
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
240
7
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
240
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
8
240
9
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
240
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
240
11
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
240
12
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
240
13
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
240
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
240
15
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
240
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
8
240
17
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
240
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
240
19
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
240
20
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
240
21
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
240
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
240
23
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
240
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
8
240
25
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
240
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
240
27
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
240
28
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
240
29
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
240
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
240
31
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
240
32
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
240
33
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
240
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
240
35
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
240
36
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
240
37
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
240
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
240
39
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
240
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
8
240
41
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
240
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
240
43
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
240
44
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
240
45
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
240
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
240
47
0.075471
Calculate the compound interest: $200 invested at 7.547066671% annual rate for 5 years. FINAL:
287.754977
287.754977