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
16
120
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
16
120
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
120
6
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
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
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
16
120
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
120
10
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
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
120
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
16
120
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
120
14
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
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
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
16
120
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
120
18
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
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
120
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
16
120
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
120
22
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
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
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
16
120
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
120
26
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
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
120
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
16
120
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
120
30
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
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
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
16
120
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
120
34
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
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
120
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
16
120
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
120
38
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
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
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
16
120
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
120
42
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
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
120
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
16
120
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
120
46
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
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
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
16
120
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
120
50
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
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
120
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
16
120
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
120
54
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
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
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
16
120
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
120
58
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
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
120
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
16
120
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
120
62
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
63
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
1
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
1
240
1
0.06406
Calculate the compound interest: $200 invested at 6.405988306% annual rate for 5 years. FINAL:
272.810037
272.810037
exponential_interest
1
sinusoid
2.5
1
240
2
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
1
240
3
0.062957
Calculate the compound interest: $200 invested at 6.295715286% annual rate for 5 years. FINAL:
271.399341
271.399341
exponential_interest
1
sinusoid
2.5
1
240
4
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
1
240
5
0.062509
Calculate the compound interest: $200 invested at 6.250936972% annual rate for 5 years. FINAL:
270.828172
270.828172
exponential_interest
1
sinusoid
2.5
1
240
6
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
1
240
7
0.062734
Calculate the compound interest: $200 invested at 6.273374169% annual rate for 5 years. FINAL:
271.114249
271.114249
exponential_interest
1
sinusoid
2.5
1
240
8
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
1
240
9
0.063622
Calculate the compound interest: $200 invested at 6.362164628% annual rate for 5 years. FINAL:
272.248711
272.248711
exponential_interest
1
sinusoid
2.5
1
240
10
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
1
240
11
0.065139
Calculate the compound interest: $200 invested at 6.513896182% annual rate for 5 years. FINAL:
274.196149
274.196149
exponential_interest
1
sinusoid
2.5
1
240
12
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
1
240
13
0.067227
Calculate the compound interest: $200 invested at 6.722737873% annual rate for 5 years. FINAL:
276.894791
276.894791
exponential_interest
1
sinusoid
2.5
1
240
14
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
1
240
15
0.069807
Calculate the compound interest: $200 invested at 6.98066403% annual rate for 5 years. FINAL:
280.256983
280.256983
exponential_interest
1
sinusoid
2.5
1
240
16
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
1
240
17
0.072778
Calculate the compound interest: $200 invested at 7.277762698% annual rate for 5 years. FINAL:
284.170201
284.170201
exponential_interest
1
sinusoid
2.5
1
240
18
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
1
240
19
0.076026
Calculate the compound interest: $200 invested at 7.60261654% annual rate for 5 years. FINAL:
288.498896
288.498896
exponential_interest
1
sinusoid
2.5
1
240
20
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
1
240
21
0.079427
Calculate the compound interest: $200 invested at 7.942741605% annual rate for 5 years. FINAL:
293.087447
293.087447
exponential_interest
1
sinusoid
2.5
1
240
22
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
1
240
23
0.082851
Calculate the compound interest: $200 invested at 8.285067078% annual rate for 5 years. FINAL:
297.764449
297.764449
exponential_interest
1
sinusoid
2.5
1
240
24
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
1
240
25
0.086164
Calculate the compound interest: $200 invested at 8.616437584% annual rate for 5 years. FINAL:
302.348466
302.348466
exponential_interest
1
sinusoid
2.5
1
240
26
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
1
240
27
0.089241
Calculate the compound interest: $200 invested at 8.924118739% annual rate for 5 years. FINAL:
306.655155
306.655155
exponential_interest
1
sinusoid
2.5
1
240
28
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
1
240
29
0.091963
Calculate the compound interest: $200 invested at 9.196286529% annual rate for 5 years. FINAL:
310.505533
310.505533
exponential_interest
1
sinusoid
2.5
1
240
30
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
1
240
31
0.094225
Calculate the compound interest: $200 invested at 9.422481698% annual rate for 5 years. FINAL:
313.734875
313.734875
exponential_interest
1
sinusoid
2.5
1
240
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
1
240
33
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
1
240
34
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
240
35
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
240
36
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
240
37
0.097491
Calculate the compound interest: $200 invested at 9.749063028% annual rate for 5 years. FINAL:
318.444756
318.444756
exponential_interest
1
sinusoid
2.5
1
240
38
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
1
240
39
0.097266
Calculate the compound interest: $200 invested at 9.726625831% annual rate for 5 years. FINAL:
318.119373
318.119373