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
0
sinusoid
2.5
8
0
48
0.08
Calculate the compound interest: $100 invested at 8% annual rate for 6 years. FINAL:
158.687432
158.687432
exponential_interest
0
sinusoid
2.5
8
0
49
0.092374
Calculate the compound interest: $100 invested at 9.237436867% annual rate for 6 years. FINAL:
169.913939
169.913939
exponential_interest
0
sinusoid
2.5
8
0
50
0.0975
Calculate the compound interest: $100 invested at 9.75% annual rate for 6 years. FINAL:
174.754019
174.754019
exponential_interest
0
sinusoid
2.5
8
0
51
0.092374
Calculate the compound interest: $100 invested at 9.237436867% annual rate for 6 years. FINAL:
169.913939
169.913939
exponential_interest
0
sinusoid
2.5
8
0
52
0.08
Calculate the compound interest: $100 invested at 8% annual rate for 6 years. FINAL:
158.687432
158.687432
exponential_interest
0
sinusoid
2.5
8
0
53
0.067626
Calculate the compound interest: $100 invested at 6.762563133% annual rate for 6 years. FINAL:
148.085982
148.085982
exponential_interest
0
sinusoid
2.5
8
0
54
0.0625
Calculate the compound interest: $100 invested at 6.25% annual rate for 6 years. FINAL:
143.871123
143.871123
exponential_interest
0
sinusoid
2.5
8
0
55
0.067626
Calculate the compound interest: $100 invested at 6.762563133% annual rate for 6 years. FINAL:
148.085982
148.085982
exponential_interest
0
sinusoid
2.5
8
0
56
0.08
Calculate the compound interest: $100 invested at 8% annual rate for 6 years. FINAL:
158.687432
158.687432
exponential_interest
0
sinusoid
2.5
8
0
57
0.092374
Calculate the compound interest: $100 invested at 9.237436867% annual rate for 6 years. FINAL:
169.913939
169.913939
exponential_interest
0
sinusoid
2.5
8
0
58
0.0975
Calculate the compound interest: $100 invested at 9.75% annual rate for 6 years. FINAL:
174.754019
174.754019
exponential_interest
0
sinusoid
2.5
8
0
59
0.092374
Calculate the compound interest: $100 invested at 9.237436867% annual rate for 6 years. FINAL:
169.913939
169.913939
exponential_interest
0
sinusoid
2.5
8
0
60
0.08
Calculate the compound interest: $100 invested at 8% annual rate for 6 years. FINAL:
158.687432
158.687432
exponential_interest
0
sinusoid
2.5
8
0
61
0.067626
Calculate the compound interest: $100 invested at 6.762563133% annual rate for 6 years. FINAL:
148.085982
148.085982
exponential_interest
0
sinusoid
2.5
8
0
62
0.0625
Calculate the compound interest: $100 invested at 6.25% annual rate for 6 years. FINAL:
143.871123
143.871123
exponential_interest
0
sinusoid
2.5
8
0
63
0.067626
Calculate the compound interest: $100 invested at 6.762563133% annual rate for 6 years. FINAL:
148.085982
148.085982
exponential_interest
0
sinusoid
2.5
16
0
0
0.08
Calculate the compound interest: $100 invested at 8% annual rate for 6 years. FINAL:
158.687432
158.687432
exponential_interest
0
sinusoid
2.5
16
0
1
0.0975
Calculate the compound interest: $100 invested at 9.75% annual rate for 6 years. FINAL:
174.754019
174.754019
exponential_interest
0
sinusoid
2.5
16
0
2
0.08
Calculate the compound interest: $100 invested at 8% annual rate for 6 years. FINAL:
158.687432
158.687432
exponential_interest
0
sinusoid
2.5
16
0
3
0.0625
Calculate the compound interest: $100 invested at 6.25% annual rate for 6 years. FINAL:
143.871123
143.871123
exponential_interest
0
sinusoid
2.5
16
0
4
0.08
Calculate the compound interest: $100 invested at 8% annual rate for 6 years. FINAL:
158.687432
158.687432
exponential_interest
0
sinusoid
2.5
16
0
5
0.0975
Calculate the compound interest: $100 invested at 9.75% annual rate for 6 years. FINAL:
174.754019
174.754019
exponential_interest
0
sinusoid
2.5
16
0
6
0.08
Calculate the compound interest: $100 invested at 8% annual rate for 6 years. FINAL:
158.687432
158.687432
exponential_interest
0
sinusoid
2.5
16
0
7
0.0625
Calculate the compound interest: $100 invested at 6.25% annual rate for 6 years. FINAL:
143.871123
143.871123
exponential_interest
0
sinusoid
2.5
16
0
8
0.08
Calculate the compound interest: $100 invested at 8% annual rate for 6 years. FINAL:
158.687432
158.687432
exponential_interest
0
sinusoid
2.5
16
0
9
0.0975
Calculate the compound interest: $100 invested at 9.75% annual rate for 6 years. FINAL:
174.754019
174.754019
exponential_interest
0
sinusoid
2.5
16
0
10
0.08
Calculate the compound interest: $100 invested at 8% annual rate for 6 years. FINAL:
158.687432
158.687432
exponential_interest
0
sinusoid
2.5
16
0
11
0.0625
Calculate the compound interest: $100 invested at 6.25% annual rate for 6 years. FINAL:
143.871123
143.871123
exponential_interest
0
sinusoid
2.5
16
0
12
0.08
Calculate the compound interest: $100 invested at 8% annual rate for 6 years. FINAL:
158.687432
158.687432
exponential_interest
0
sinusoid
2.5
16
0
13
0.0975
Calculate the compound interest: $100 invested at 9.75% annual rate for 6 years. FINAL:
174.754019
174.754019
exponential_interest
0
sinusoid
2.5
16
0
14
0.08
Calculate the compound interest: $100 invested at 8% annual rate for 6 years. FINAL:
158.687432
158.687432
exponential_interest
0
sinusoid
2.5
16
0
15
0.0625
Calculate the compound interest: $100 invested at 6.25% annual rate for 6 years. FINAL:
143.871123
143.871123
exponential_interest
0
sinusoid
2.5
16
0
16
0.08
Calculate the compound interest: $100 invested at 8% annual rate for 6 years. FINAL:
158.687432
158.687432
exponential_interest
0
sinusoid
2.5
16
0
17
0.0975
Calculate the compound interest: $100 invested at 9.75% annual rate for 6 years. FINAL:
174.754019
174.754019
exponential_interest
0
sinusoid
2.5
16
0
18
0.08
Calculate the compound interest: $100 invested at 8% annual rate for 6 years. FINAL:
158.687432
158.687432
exponential_interest
0
sinusoid
2.5
16
0
19
0.0625
Calculate the compound interest: $100 invested at 6.25% annual rate for 6 years. FINAL:
143.871123
143.871123
exponential_interest
0
sinusoid
2.5
16
0
20
0.08
Calculate the compound interest: $100 invested at 8% annual rate for 6 years. FINAL:
158.687432
158.687432
exponential_interest
0
sinusoid
2.5
16
0
21
0.0975
Calculate the compound interest: $100 invested at 9.75% annual rate for 6 years. FINAL:
174.754019
174.754019
exponential_interest
0
sinusoid
2.5
16
0
22
0.08
Calculate the compound interest: $100 invested at 8% annual rate for 6 years. FINAL:
158.687432
158.687432
exponential_interest
0
sinusoid
2.5
16
0
23
0.0625
Calculate the compound interest: $100 invested at 6.25% annual rate for 6 years. FINAL:
143.871123
143.871123
exponential_interest
0
sinusoid
2.5
16
0
24
0.08
Calculate the compound interest: $100 invested at 8% annual rate for 6 years. FINAL:
158.687432
158.687432
exponential_interest
0
sinusoid
2.5
16
0
25
0.0975
Calculate the compound interest: $100 invested at 9.75% annual rate for 6 years. FINAL:
174.754019
174.754019
exponential_interest
0
sinusoid
2.5
16
0
26
0.08
Calculate the compound interest: $100 invested at 8% annual rate for 6 years. FINAL:
158.687432
158.687432
exponential_interest
0
sinusoid
2.5
16
0
27
0.0625
Calculate the compound interest: $100 invested at 6.25% annual rate for 6 years. FINAL:
143.871123
143.871123
exponential_interest
0
sinusoid
2.5
16
0
28
0.08
Calculate the compound interest: $100 invested at 8% annual rate for 6 years. FINAL:
158.687432
158.687432
exponential_interest
0
sinusoid
2.5
16
0
29
0.0975
Calculate the compound interest: $100 invested at 9.75% annual rate for 6 years. FINAL:
174.754019
174.754019
exponential_interest
0
sinusoid
2.5
16
0
30
0.08
Calculate the compound interest: $100 invested at 8% annual rate for 6 years. FINAL:
158.687432
158.687432
exponential_interest
0
sinusoid
2.5
16
0
31
0.0625
Calculate the compound interest: $100 invested at 6.25% annual rate for 6 years. FINAL:
143.871123
143.871123
exponential_interest
0
sinusoid
2.5
16
0
32
0.08
Calculate the compound interest: $100 invested at 8% annual rate for 6 years. FINAL:
158.687432
158.687432
exponential_interest
0
sinusoid
2.5
16
0
33
0.0975
Calculate the compound interest: $100 invested at 9.75% annual rate for 6 years. FINAL:
174.754019
174.754019
exponential_interest
0
sinusoid
2.5
16
0
34
0.08
Calculate the compound interest: $100 invested at 8% annual rate for 6 years. FINAL:
158.687432
158.687432
exponential_interest
0
sinusoid
2.5
16
0
35
0.0625
Calculate the compound interest: $100 invested at 6.25% annual rate for 6 years. FINAL:
143.871123
143.871123
exponential_interest
0
sinusoid
2.5
16
0
36
0.08
Calculate the compound interest: $100 invested at 8% annual rate for 6 years. FINAL:
158.687432
158.687432
exponential_interest
0
sinusoid
2.5
16
0
37
0.0975
Calculate the compound interest: $100 invested at 9.75% annual rate for 6 years. FINAL:
174.754019
174.754019
exponential_interest
0
sinusoid
2.5
16
0
38
0.08
Calculate the compound interest: $100 invested at 8% annual rate for 6 years. FINAL:
158.687432
158.687432
exponential_interest
0
sinusoid
2.5
16
0
39
0.0625
Calculate the compound interest: $100 invested at 6.25% annual rate for 6 years. FINAL:
143.871123
143.871123
exponential_interest
0
sinusoid
2.5
16
0
40
0.08
Calculate the compound interest: $100 invested at 8% annual rate for 6 years. FINAL:
158.687432
158.687432
exponential_interest
0
sinusoid
2.5
16
0
41
0.0975
Calculate the compound interest: $100 invested at 9.75% annual rate for 6 years. FINAL:
174.754019
174.754019
exponential_interest
0
sinusoid
2.5
16
0
42
0.08
Calculate the compound interest: $100 invested at 8% annual rate for 6 years. FINAL:
158.687432
158.687432
exponential_interest
0
sinusoid
2.5
16
0
43
0.0625
Calculate the compound interest: $100 invested at 6.25% annual rate for 6 years. FINAL:
143.871123
143.871123
exponential_interest
0
sinusoid
2.5
16
0
44
0.08
Calculate the compound interest: $100 invested at 8% annual rate for 6 years. FINAL:
158.687432
158.687432
exponential_interest
0
sinusoid
2.5
16
0
45
0.0975
Calculate the compound interest: $100 invested at 9.75% annual rate for 6 years. FINAL:
174.754019
174.754019
exponential_interest
0
sinusoid
2.5
16
0
46
0.08
Calculate the compound interest: $100 invested at 8% annual rate for 6 years. FINAL:
158.687432
158.687432
exponential_interest
0
sinusoid
2.5
16
0
47
0.0625
Calculate the compound interest: $100 invested at 6.25% annual rate for 6 years. FINAL:
143.871123
143.871123
exponential_interest
0
sinusoid
2.5
16
0
48
0.08
Calculate the compound interest: $100 invested at 8% annual rate for 6 years. FINAL:
158.687432
158.687432
exponential_interest
0
sinusoid
2.5
16
0
49
0.0975
Calculate the compound interest: $100 invested at 9.75% annual rate for 6 years. FINAL:
174.754019
174.754019
exponential_interest
0
sinusoid
2.5
16
0
50
0.08
Calculate the compound interest: $100 invested at 8% annual rate for 6 years. FINAL:
158.687432
158.687432
exponential_interest
0
sinusoid
2.5
16
0
51
0.0625
Calculate the compound interest: $100 invested at 6.25% annual rate for 6 years. FINAL:
143.871123
143.871123
exponential_interest
0
sinusoid
2.5
16
0
52
0.08
Calculate the compound interest: $100 invested at 8% annual rate for 6 years. FINAL:
158.687432
158.687432
exponential_interest
0
sinusoid
2.5
16
0
53
0.0975
Calculate the compound interest: $100 invested at 9.75% annual rate for 6 years. FINAL:
174.754019
174.754019
exponential_interest
0
sinusoid
2.5
16
0
54
0.08
Calculate the compound interest: $100 invested at 8% annual rate for 6 years. FINAL:
158.687432
158.687432
exponential_interest
0
sinusoid
2.5
16
0
55
0.0625
Calculate the compound interest: $100 invested at 6.25% annual rate for 6 years. FINAL:
143.871123
143.871123
exponential_interest
0
sinusoid
2.5
16
0
56
0.08
Calculate the compound interest: $100 invested at 8% annual rate for 6 years. FINAL:
158.687432
158.687432
exponential_interest
0
sinusoid
2.5
16
0
57
0.0975
Calculate the compound interest: $100 invested at 9.75% annual rate for 6 years. FINAL:
174.754019
174.754019
exponential_interest
0
sinusoid
2.5
16
0
58
0.08
Calculate the compound interest: $100 invested at 8% annual rate for 6 years. FINAL:
158.687432
158.687432
exponential_interest
0
sinusoid
2.5
16
0
59
0.0625
Calculate the compound interest: $100 invested at 6.25% annual rate for 6 years. FINAL:
143.871123
143.871123
exponential_interest
0
sinusoid
2.5
16
0
60
0.08
Calculate the compound interest: $100 invested at 8% annual rate for 6 years. FINAL:
158.687432
158.687432
exponential_interest
0
sinusoid
2.5
16
0
61
0.0975
Calculate the compound interest: $100 invested at 9.75% annual rate for 6 years. FINAL:
174.754019
174.754019
exponential_interest
0
sinusoid
2.5
16
0
62
0.08
Calculate the compound interest: $100 invested at 8% annual rate for 6 years. FINAL:
158.687432
158.687432
exponential_interest
0
sinusoid
2.5
16
0
63
0.0625
Calculate the compound interest: $100 invested at 6.25% annual rate for 6 years. FINAL:
143.871123
143.871123
exponential_interest
0
sinusoid
2.5
1
120
0
0.095155
Calculate the compound interest: $100 invested at 9.515544457% annual rate for 6 years. FINAL:
172.526018
172.526018
exponential_interest
0
sinusoid
2.5
1
120
1
0.094225
Calculate the compound interest: $100 invested at 9.422481698% annual rate for 6 years. FINAL:
171.648243
171.648243
exponential_interest
0
sinusoid
2.5
1
120
2
0.093157
Calculate the compound interest: $100 invested at 9.315719663% annual rate for 6 years. FINAL:
170.645842
170.645842
exponential_interest
0
sinusoid
2.5
1
120
3
0.091963
Calculate the compound interest: $100 invested at 9.196286529% annual rate for 6 years. FINAL:
169.530256
169.530256
exponential_interest
0
sinusoid
2.5
1
120
4
0.090653
Calculate the compound interest: $100 invested at 9.065332501% annual rate for 6 years. FINAL:
168.314048
168.314048
exponential_interest
0
sinusoid
2.5
1
120
5
0.089241
Calculate the compound interest: $100 invested at 8.924118739% annual rate for 6 years. FINAL:
167.010713
167.010713
exponential_interest
0
sinusoid
2.5
1
120
6
0.08774
Calculate the compound interest: $100 invested at 8.774005208% annual rate for 6 years. FINAL:
165.634469
165.634469
exponential_interest
0
sinusoid
2.5
1
120
7
0.086164
Calculate the compound interest: $100 invested at 8.616437584% annual rate for 6 years. FINAL:
164.200066
164.200066
exponential_interest
0
sinusoid
2.5
1
120
8
0.084529
Calculate the compound interest: $100 invested at 8.452933329% annual rate for 6 years. FINAL:
162.722578
162.722578
exponential_interest
0
sinusoid
2.5
1
120
9
0.082851
Calculate the compound interest: $100 invested at 8.285067078% annual rate for 6 years. FINAL:
161.217217
161.217217
exponential_interest
0
sinusoid
2.5
1
120
10
0.081145
Calculate the compound interest: $100 invested at 8.114455476% annual rate for 6 years. FINAL:
159.699145
159.699145
exponential_interest
0
sinusoid
2.5
1
120
11
0.079427
Calculate the compound interest: $100 invested at 7.942741605% annual rate for 6 years. FINAL:
158.183313
158.183313
exponential_interest
0
sinusoid
2.5
1
120
12
0.077716
Calculate the compound interest: $100 invested at 7.771579164% annual rate for 6 years. FINAL:
156.684299
156.684299
exponential_interest
0
sinusoid
2.5
1
120
13
0.076026
Calculate the compound interest: $100 invested at 7.60261654% annual rate for 6 years. FINAL:
155.216181
155.216181
exponential_interest
0
sinusoid
2.5
1
120
14
0.074375
Calculate the compound interest: $100 invested at 7.437480936% annual rate for 6 years. FINAL:
153.79241
153.79241
exponential_interest
0
sinusoid
2.5
1
120
15
0.072778
Calculate the compound interest: $100 invested at 7.277762698% annual rate for 6 years. FINAL:
152.425717
152.425717
exponential_interest
0
sinusoid
2.5
1
120
16
0.07125
Calculate the compound interest: $100 invested at 7.125% annual rate for 6 years. FINAL:
151.128026
151.128026
exponential_interest
0
sinusoid
2.5
1
120
17
0.069807
Calculate the compound interest: $100 invested at 6.98066403% annual rate for 6 years. FINAL:
149.91039
149.91039
exponential_interest
0
sinusoid
2.5
1
120
18
0.068461
Calculate the compound interest: $100 invested at 6.846144824% annual rate for 6 years. FINAL:
148.782941
148.782941
exponential_interest
0
sinusoid
2.5
1
120
19
0.067227
Calculate the compound interest: $100 invested at 6.722737873% annual rate for 6 years. FINAL:
147.754851
147.754851