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
8
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
8
240
49
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
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
240
51
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
52
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
53
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
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
240
55
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
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
8
240
57
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
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
240
59
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
60
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
61
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
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
240
63
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
16
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
16
240
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
240
2
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
240
3
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
16
240
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
16
240
5
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
240
6
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
240
7
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
16
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
16
240
9
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
240
10
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
240
11
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
16
240
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
16
240
13
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
240
14
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
240
15
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
16
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
16
240
17
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
240
18
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
240
19
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
16
240
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
16
240
21
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
240
22
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
240
23
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
16
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
16
240
25
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
240
26
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
240
27
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
16
240
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
16
240
29
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
240
30
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
240
31
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
16
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
16
240
33
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
240
34
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
240
35
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
16
240
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
16
240
37
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
240
38
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
240
39
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
16
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
16
240
41
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
240
42
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
240
43
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
16
240
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
16
240
45
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
240
46
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
240
47
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
16
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
16
240
49
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
240
50
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
240
51
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
16
240
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
16
240
53
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
240
54
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
240
55
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
16
240
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
16
240
57
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
240
58
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
240
59
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
16
240
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
16
240
61
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
240
62
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
240
63
0.08875
Calculate the compound interest: $200 invested at 8.875% annual rate for 5 years. FINAL:
305.964356
305.964356
exponential_interest
2
sinusoid
2.5
1
0
0
0.08
Calculate the compound interest: $150 invested at 8% annual rate for 4 years. FINAL:
204.073344
204.073344
exponential_interest
2
sinusoid
2.5
1
0
1
0.081715
Calculate the compound interest: $150 invested at 8.171529996% annual rate for 4 years. FINAL:
205.372906
205.372906
exponential_interest
2
sinusoid
2.5
1
0
2
0.083414
Calculate the compound interest: $150 invested at 8.341408064% annual rate for 4 years. FINAL:
206.666061
206.666061
exponential_interest
2
sinusoid
2.5
1
0
3
0.08508
Calculate the compound interest: $150 invested at 8.507998185% annual rate for 4 years. FINAL:
207.940108
207.940108
exponential_interest
2
sinusoid
2.5
1
0
4
0.086697
Calculate the compound interest: $150 invested at 8.669696007% annual rate for 4 years. FINAL:
209.182364
209.182364
exponential_interest
2
sinusoid
2.5
1
0
5
0.088249
Calculate the compound interest: $150 invested at 8.824944289% annual rate for 4 years. FINAL:
210.380301
210.380301
exponential_interest
2
sinusoid
2.5
1
0
6
0.089722
Calculate the compound interest: $150 invested at 8.972247908% annual rate for 4 years. FINAL:
211.521685
211.521685
exponential_interest
2
sinusoid
2.5
1
0
7
0.091102
Calculate the compound interest: $150 invested at 9.110188247% annual rate for 4 years. FINAL:
212.594723
212.594723
exponential_interest
2
sinusoid
2.5
1
0
8
0.092374
Calculate the compound interest: $150 invested at 9.237436867% annual rate for 4 years. FINAL:
213.588204
213.588204
exponential_interest
2
sinusoid
2.5
1
0
9
0.093528
Calculate the compound interest: $150 invested at 9.352768293% annual rate for 4 years. FINAL:
214.491648
214.491648
exponential_interest
2
sinusoid
2.5
1
0
10
0.094551
Calculate the compound interest: $150 invested at 9.455071822% annual rate for 4 years. FINAL:
215.295434
215.295434
exponential_interest
2
sinusoid
2.5
1
0
11
0.095434
Calculate the compound interest: $150 invested at 9.543362213% annual rate for 4 years. FINAL:
215.990935
215.990935
exponential_interest
2
sinusoid
2.5
1
0
12
0.096168
Calculate the compound interest: $150 invested at 9.616789182% annual rate for 4 years. FINAL:
216.570633
216.570633
exponential_interest
2
sinusoid
2.5
1
0
13
0.096746
Calculate the compound interest: $150 invested at 9.674645588% annual rate for 4 years. FINAL:
217.028225
217.028225
exponential_interest
2
sinusoid
2.5
1
0
14
0.097164
Calculate the compound interest: $150 invested at 9.716374241% annual rate for 4 years. FINAL:
217.35871
217.35871
exponential_interest
2
sinusoid
2.5
1
0
15
0.097416
Calculate the compound interest: $150 invested at 9.741573272% annual rate for 4 years. FINAL:
217.558466
217.558466
exponential_interest
2
sinusoid
2.5
1
0
16
0.0975
Calculate the compound interest: $150 invested at 9.75% annual rate for 4 years. FINAL:
217.625296
217.625296
exponential_interest
2
sinusoid
2.5
1
0
17
0.097416
Calculate the compound interest: $150 invested at 9.741573272% annual rate for 4 years. FINAL:
217.558466
217.558466
exponential_interest
2
sinusoid
2.5
1
0
18
0.097164
Calculate the compound interest: $150 invested at 9.716374241% annual rate for 4 years. FINAL:
217.35871
217.35871
exponential_interest
2
sinusoid
2.5
1
0
19
0.096746
Calculate the compound interest: $150 invested at 9.674645588% annual rate for 4 years. FINAL:
217.028225
217.028225