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
2
sinusoid
2.5
4
240
52
0.07125
Calculate the compound interest: $150 invested at 7.125% annual rate for 4 years. FINAL:
197.539795
197.539795
exponential_interest
2
sinusoid
2.5
4
240
53
0.077716
Calculate the compound interest: $150 invested at 7.771579164% annual rate for 4 years. FINAL:
202.352347
202.352347
exponential_interest
2
sinusoid
2.5
4
240
54
0.084529
Calculate the compound interest: $150 invested at 8.452933329% annual rate for 4 years. FINAL:
207.518333
207.518333
exponential_interest
2
sinusoid
2.5
4
240
55
0.090653
Calculate the compound interest: $150 invested at 9.065332501% annual rate for 4 years. FINAL:
212.245343
212.245343
exponential_interest
2
sinusoid
2.5
4
240
56
0.095155
Calculate the compound interest: $150 invested at 9.515544457% annual rate for 4 years. FINAL:
215.771622
215.771622
exponential_interest
2
sinusoid
2.5
4
240
57
0.09735
Calculate the compound interest: $150 invested at 9.735028507% annual rate for 4 years. FINAL:
217.506571
217.506571
exponential_interest
2
sinusoid
2.5
4
240
58
0.096904
Calculate the compound interest: $150 invested at 9.690370196% annual rate for 4 years. FINAL:
217.152717
217.152717
exponential_interest
2
sinusoid
2.5
4
240
59
0.093884
Calculate the compound interest: $150 invested at 9.388368346% annual rate for 4 years. FINAL:
214.771098
214.771098
exponential_interest
2
sinusoid
2.5
4
240
60
0.08875
Calculate the compound interest: $150 invested at 8.875% annual rate for 4 years. FINAL:
210.767639
210.767639
exponential_interest
2
sinusoid
2.5
4
240
61
0.082284
Calculate the compound interest: $150 invested at 8.228420836% annual rate for 4 years. FINAL:
205.805296
205.805296
exponential_interest
2
sinusoid
2.5
4
240
62
0.075471
Calculate the compound interest: $150 invested at 7.547066671% annual rate for 4 years. FINAL:
200.671426
200.671426
exponential_interest
2
sinusoid
2.5
4
240
63
0.069347
Calculate the compound interest: $150 invested at 6.934667499% annual rate for 4 years. FINAL:
196.13963
196.13963
exponential_interest
2
sinusoid
2.5
8
240
0
0.064845
Calculate the compound interest: $150 invested at 6.484455543% annual rate for 4 years. FINAL:
192.857316
192.857316
exponential_interest
2
sinusoid
2.5
8
240
1
0.063096
Calculate the compound interest: $150 invested at 6.309629804% annual rate for 4 years. FINAL:
191.593902
191.593902
exponential_interest
2
sinusoid
2.5
8
240
2
0.07125
Calculate the compound interest: $150 invested at 7.125% annual rate for 4 years. FINAL:
197.539795
197.539795
exponential_interest
2
sinusoid
2.5
8
240
3
0.084529
Calculate the compound interest: $150 invested at 8.452933329% annual rate for 4 years. FINAL:
207.518333
207.518333
exponential_interest
2
sinusoid
2.5
8
240
4
0.095155
Calculate the compound interest: $150 invested at 9.515544457% annual rate for 4 years. FINAL:
215.771622
215.771622
exponential_interest
2
sinusoid
2.5
8
240
5
0.096904
Calculate the compound interest: $150 invested at 9.690370196% annual rate for 4 years. FINAL:
217.152717
217.152717
exponential_interest
2
sinusoid
2.5
8
240
6
0.08875
Calculate the compound interest: $150 invested at 8.875% annual rate for 4 years. FINAL:
210.767639
210.767639
exponential_interest
2
sinusoid
2.5
8
240
7
0.075471
Calculate the compound interest: $150 invested at 7.547066671% annual rate for 4 years. FINAL:
200.671426
200.671426
exponential_interest
2
sinusoid
2.5
8
240
8
0.064845
Calculate the compound interest: $150 invested at 6.484455543% annual rate for 4 years. FINAL:
192.857316
192.857316
exponential_interest
2
sinusoid
2.5
8
240
9
0.063096
Calculate the compound interest: $150 invested at 6.309629804% annual rate for 4 years. FINAL:
191.593902
191.593902
exponential_interest
2
sinusoid
2.5
8
240
10
0.07125
Calculate the compound interest: $150 invested at 7.125% annual rate for 4 years. FINAL:
197.539795
197.539795
exponential_interest
2
sinusoid
2.5
8
240
11
0.084529
Calculate the compound interest: $150 invested at 8.452933329% annual rate for 4 years. FINAL:
207.518333
207.518333
exponential_interest
2
sinusoid
2.5
8
240
12
0.095155
Calculate the compound interest: $150 invested at 9.515544457% annual rate for 4 years. FINAL:
215.771622
215.771622
exponential_interest
2
sinusoid
2.5
8
240
13
0.096904
Calculate the compound interest: $150 invested at 9.690370196% annual rate for 4 years. FINAL:
217.152717
217.152717
exponential_interest
2
sinusoid
2.5
8
240
14
0.08875
Calculate the compound interest: $150 invested at 8.875% annual rate for 4 years. FINAL:
210.767639
210.767639
exponential_interest
2
sinusoid
2.5
8
240
15
0.075471
Calculate the compound interest: $150 invested at 7.547066671% annual rate for 4 years. FINAL:
200.671426
200.671426
exponential_interest
2
sinusoid
2.5
8
240
16
0.064845
Calculate the compound interest: $150 invested at 6.484455543% annual rate for 4 years. FINAL:
192.857316
192.857316
exponential_interest
2
sinusoid
2.5
8
240
17
0.063096
Calculate the compound interest: $150 invested at 6.309629804% annual rate for 4 years. FINAL:
191.593902
191.593902
exponential_interest
2
sinusoid
2.5
8
240
18
0.07125
Calculate the compound interest: $150 invested at 7.125% annual rate for 4 years. FINAL:
197.539795
197.539795
exponential_interest
2
sinusoid
2.5
8
240
19
0.084529
Calculate the compound interest: $150 invested at 8.452933329% annual rate for 4 years. FINAL:
207.518333
207.518333
exponential_interest
2
sinusoid
2.5
8
240
20
0.095155
Calculate the compound interest: $150 invested at 9.515544457% annual rate for 4 years. FINAL:
215.771622
215.771622
exponential_interest
2
sinusoid
2.5
8
240
21
0.096904
Calculate the compound interest: $150 invested at 9.690370196% annual rate for 4 years. FINAL:
217.152717
217.152717
exponential_interest
2
sinusoid
2.5
8
240
22
0.08875
Calculate the compound interest: $150 invested at 8.875% annual rate for 4 years. FINAL:
210.767639
210.767639
exponential_interest
2
sinusoid
2.5
8
240
23
0.075471
Calculate the compound interest: $150 invested at 7.547066671% annual rate for 4 years. FINAL:
200.671426
200.671426
exponential_interest
2
sinusoid
2.5
8
240
24
0.064845
Calculate the compound interest: $150 invested at 6.484455543% annual rate for 4 years. FINAL:
192.857316
192.857316
exponential_interest
2
sinusoid
2.5
8
240
25
0.063096
Calculate the compound interest: $150 invested at 6.309629804% annual rate for 4 years. FINAL:
191.593902
191.593902
exponential_interest
2
sinusoid
2.5
8
240
26
0.07125
Calculate the compound interest: $150 invested at 7.125% annual rate for 4 years. FINAL:
197.539795
197.539795
exponential_interest
2
sinusoid
2.5
8
240
27
0.084529
Calculate the compound interest: $150 invested at 8.452933329% annual rate for 4 years. FINAL:
207.518333
207.518333
exponential_interest
2
sinusoid
2.5
8
240
28
0.095155
Calculate the compound interest: $150 invested at 9.515544457% annual rate for 4 years. FINAL:
215.771622
215.771622
exponential_interest
2
sinusoid
2.5
8
240
29
0.096904
Calculate the compound interest: $150 invested at 9.690370196% annual rate for 4 years. FINAL:
217.152717
217.152717
exponential_interest
2
sinusoid
2.5
8
240
30
0.08875
Calculate the compound interest: $150 invested at 8.875% annual rate for 4 years. FINAL:
210.767639
210.767639
exponential_interest
2
sinusoid
2.5
8
240
31
0.075471
Calculate the compound interest: $150 invested at 7.547066671% annual rate for 4 years. FINAL:
200.671426
200.671426
exponential_interest
2
sinusoid
2.5
8
240
32
0.064845
Calculate the compound interest: $150 invested at 6.484455543% annual rate for 4 years. FINAL:
192.857316
192.857316
exponential_interest
2
sinusoid
2.5
8
240
33
0.063096
Calculate the compound interest: $150 invested at 6.309629804% annual rate for 4 years. FINAL:
191.593902
191.593902
exponential_interest
2
sinusoid
2.5
8
240
34
0.07125
Calculate the compound interest: $150 invested at 7.125% annual rate for 4 years. FINAL:
197.539795
197.539795
exponential_interest
2
sinusoid
2.5
8
240
35
0.084529
Calculate the compound interest: $150 invested at 8.452933329% annual rate for 4 years. FINAL:
207.518333
207.518333
exponential_interest
2
sinusoid
2.5
8
240
36
0.095155
Calculate the compound interest: $150 invested at 9.515544457% annual rate for 4 years. FINAL:
215.771622
215.771622
exponential_interest
2
sinusoid
2.5
8
240
37
0.096904
Calculate the compound interest: $150 invested at 9.690370196% annual rate for 4 years. FINAL:
217.152717
217.152717
exponential_interest
2
sinusoid
2.5
8
240
38
0.08875
Calculate the compound interest: $150 invested at 8.875% annual rate for 4 years. FINAL:
210.767639
210.767639
exponential_interest
2
sinusoid
2.5
8
240
39
0.075471
Calculate the compound interest: $150 invested at 7.547066671% annual rate for 4 years. FINAL:
200.671426
200.671426
exponential_interest
2
sinusoid
2.5
8
240
40
0.064845
Calculate the compound interest: $150 invested at 6.484455543% annual rate for 4 years. FINAL:
192.857316
192.857316
exponential_interest
2
sinusoid
2.5
8
240
41
0.063096
Calculate the compound interest: $150 invested at 6.309629804% annual rate for 4 years. FINAL:
191.593902
191.593902
exponential_interest
2
sinusoid
2.5
8
240
42
0.07125
Calculate the compound interest: $150 invested at 7.125% annual rate for 4 years. FINAL:
197.539795
197.539795
exponential_interest
2
sinusoid
2.5
8
240
43
0.084529
Calculate the compound interest: $150 invested at 8.452933329% annual rate for 4 years. FINAL:
207.518333
207.518333
exponential_interest
2
sinusoid
2.5
8
240
44
0.095155
Calculate the compound interest: $150 invested at 9.515544457% annual rate for 4 years. FINAL:
215.771622
215.771622
exponential_interest
2
sinusoid
2.5
8
240
45
0.096904
Calculate the compound interest: $150 invested at 9.690370196% annual rate for 4 years. FINAL:
217.152717
217.152717
exponential_interest
2
sinusoid
2.5
8
240
46
0.08875
Calculate the compound interest: $150 invested at 8.875% annual rate for 4 years. FINAL:
210.767639
210.767639
exponential_interest
2
sinusoid
2.5
8
240
47
0.075471
Calculate the compound interest: $150 invested at 7.547066671% annual rate for 4 years. FINAL:
200.671426
200.671426
exponential_interest
2
sinusoid
2.5
8
240
48
0.064845
Calculate the compound interest: $150 invested at 6.484455543% annual rate for 4 years. FINAL:
192.857316
192.857316
exponential_interest
2
sinusoid
2.5
8
240
49
0.063096
Calculate the compound interest: $150 invested at 6.309629804% annual rate for 4 years. FINAL:
191.593902
191.593902
exponential_interest
2
sinusoid
2.5
8
240
50
0.07125
Calculate the compound interest: $150 invested at 7.125% annual rate for 4 years. FINAL:
197.539795
197.539795
exponential_interest
2
sinusoid
2.5
8
240
51
0.084529
Calculate the compound interest: $150 invested at 8.452933329% annual rate for 4 years. FINAL:
207.518333
207.518333
exponential_interest
2
sinusoid
2.5
8
240
52
0.095155
Calculate the compound interest: $150 invested at 9.515544457% annual rate for 4 years. FINAL:
215.771622
215.771622
exponential_interest
2
sinusoid
2.5
8
240
53
0.096904
Calculate the compound interest: $150 invested at 9.690370196% annual rate for 4 years. FINAL:
217.152717
217.152717
exponential_interest
2
sinusoid
2.5
8
240
54
0.08875
Calculate the compound interest: $150 invested at 8.875% annual rate for 4 years. FINAL:
210.767639
210.767639
exponential_interest
2
sinusoid
2.5
8
240
55
0.075471
Calculate the compound interest: $150 invested at 7.547066671% annual rate for 4 years. FINAL:
200.671426
200.671426
exponential_interest
2
sinusoid
2.5
8
240
56
0.064845
Calculate the compound interest: $150 invested at 6.484455543% annual rate for 4 years. FINAL:
192.857316
192.857316
exponential_interest
2
sinusoid
2.5
8
240
57
0.063096
Calculate the compound interest: $150 invested at 6.309629804% annual rate for 4 years. FINAL:
191.593902
191.593902
exponential_interest
2
sinusoid
2.5
8
240
58
0.07125
Calculate the compound interest: $150 invested at 7.125% annual rate for 4 years. FINAL:
197.539795
197.539795
exponential_interest
2
sinusoid
2.5
8
240
59
0.084529
Calculate the compound interest: $150 invested at 8.452933329% annual rate for 4 years. FINAL:
207.518333
207.518333
exponential_interest
2
sinusoid
2.5
8
240
60
0.095155
Calculate the compound interest: $150 invested at 9.515544457% annual rate for 4 years. FINAL:
215.771622
215.771622
exponential_interest
2
sinusoid
2.5
8
240
61
0.096904
Calculate the compound interest: $150 invested at 9.690370196% annual rate for 4 years. FINAL:
217.152717
217.152717
exponential_interest
2
sinusoid
2.5
8
240
62
0.08875
Calculate the compound interest: $150 invested at 8.875% annual rate for 4 years. FINAL:
210.767639
210.767639
exponential_interest
2
sinusoid
2.5
8
240
63
0.075471
Calculate the compound interest: $150 invested at 7.547066671% annual rate for 4 years. FINAL:
200.671426
200.671426
exponential_interest
2
sinusoid
2.5
16
240
0
0.064845
Calculate the compound interest: $150 invested at 6.484455543% annual rate for 4 years. FINAL:
192.857316
192.857316
exponential_interest
2
sinusoid
2.5
16
240
1
0.07125
Calculate the compound interest: $150 invested at 7.125% annual rate for 4 years. FINAL:
197.539795
197.539795
exponential_interest
2
sinusoid
2.5
16
240
2
0.095155
Calculate the compound interest: $150 invested at 9.515544457% annual rate for 4 years. FINAL:
215.771622
215.771622
exponential_interest
2
sinusoid
2.5
16
240
3
0.08875
Calculate the compound interest: $150 invested at 8.875% annual rate for 4 years. FINAL:
210.767639
210.767639
exponential_interest
2
sinusoid
2.5
16
240
4
0.064845
Calculate the compound interest: $150 invested at 6.484455543% annual rate for 4 years. FINAL:
192.857316
192.857316
exponential_interest
2
sinusoid
2.5
16
240
5
0.07125
Calculate the compound interest: $150 invested at 7.125% annual rate for 4 years. FINAL:
197.539795
197.539795
exponential_interest
2
sinusoid
2.5
16
240
6
0.095155
Calculate the compound interest: $150 invested at 9.515544457% annual rate for 4 years. FINAL:
215.771622
215.771622
exponential_interest
2
sinusoid
2.5
16
240
7
0.08875
Calculate the compound interest: $150 invested at 8.875% annual rate for 4 years. FINAL:
210.767639
210.767639
exponential_interest
2
sinusoid
2.5
16
240
8
0.064845
Calculate the compound interest: $150 invested at 6.484455543% annual rate for 4 years. FINAL:
192.857316
192.857316
exponential_interest
2
sinusoid
2.5
16
240
9
0.07125
Calculate the compound interest: $150 invested at 7.125% annual rate for 4 years. FINAL:
197.539795
197.539795
exponential_interest
2
sinusoid
2.5
16
240
10
0.095155
Calculate the compound interest: $150 invested at 9.515544457% annual rate for 4 years. FINAL:
215.771622
215.771622
exponential_interest
2
sinusoid
2.5
16
240
11
0.08875
Calculate the compound interest: $150 invested at 8.875% annual rate for 4 years. FINAL:
210.767639
210.767639
exponential_interest
2
sinusoid
2.5
16
240
12
0.064845
Calculate the compound interest: $150 invested at 6.484455543% annual rate for 4 years. FINAL:
192.857316
192.857316
exponential_interest
2
sinusoid
2.5
16
240
13
0.07125
Calculate the compound interest: $150 invested at 7.125% annual rate for 4 years. FINAL:
197.539795
197.539795
exponential_interest
2
sinusoid
2.5
16
240
14
0.095155
Calculate the compound interest: $150 invested at 9.515544457% annual rate for 4 years. FINAL:
215.771622
215.771622
exponential_interest
2
sinusoid
2.5
16
240
15
0.08875
Calculate the compound interest: $150 invested at 8.875% annual rate for 4 years. FINAL:
210.767639
210.767639
exponential_interest
2
sinusoid
2.5
16
240
16
0.064845
Calculate the compound interest: $150 invested at 6.484455543% annual rate for 4 years. FINAL:
192.857316
192.857316
exponential_interest
2
sinusoid
2.5
16
240
17
0.07125
Calculate the compound interest: $150 invested at 7.125% annual rate for 4 years. FINAL:
197.539795
197.539795
exponential_interest
2
sinusoid
2.5
16
240
18
0.095155
Calculate the compound interest: $150 invested at 9.515544457% annual rate for 4 years. FINAL:
215.771622
215.771622
exponential_interest
2
sinusoid
2.5
16
240
19
0.08875
Calculate the compound interest: $150 invested at 8.875% annual rate for 4 years. FINAL:
210.767639
210.767639
exponential_interest
2
sinusoid
2.5
16
240
20
0.064845
Calculate the compound interest: $150 invested at 6.484455543% annual rate for 4 years. FINAL:
192.857316
192.857316
exponential_interest
2
sinusoid
2.5
16
240
21
0.07125
Calculate the compound interest: $150 invested at 7.125% annual rate for 4 years. FINAL:
197.539795
197.539795
exponential_interest
2
sinusoid
2.5
16
240
22
0.095155
Calculate the compound interest: $150 invested at 9.515544457% annual rate for 4 years. FINAL:
215.771622
215.771622
exponential_interest
2
sinusoid
2.5
16
240
23
0.08875
Calculate the compound interest: $150 invested at 8.875% annual rate for 4 years. FINAL:
210.767639
210.767639