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
4
0
12
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
4
0
13
0.063832
Calculate the compound interest: $100 invested at 6.383210818% annual rate for 6 years. FINAL:
144.95679
144.95679
exponential_interest
0
sinusoid
2.5
4
0
14
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
4
0
15
0.073303
Calculate the compound interest: $100 invested at 7.330303993% annual rate for 6 years. FINAL:
152.874186
152.874186
exponential_interest
0
sinusoid
2.5
4
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
4
0
17
0.086697
Calculate the compound interest: $100 invested at 8.669696007% annual rate for 6 years. FINAL:
164.683737
164.683737
exponential_interest
0
sinusoid
2.5
4
0
18
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
4
0
19
0.096168
Calculate the compound interest: $100 invested at 9.616789182% annual rate for 6 years. FINAL:
173.485212
173.485212
exponential_interest
0
sinusoid
2.5
4
0
20
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
4
0
21
0.096168
Calculate the compound interest: $100 invested at 9.616789182% annual rate for 6 years. FINAL:
173.485212
173.485212
exponential_interest
0
sinusoid
2.5
4
0
22
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
4
0
23
0.086697
Calculate the compound interest: $100 invested at 8.669696007% annual rate for 6 years. FINAL:
164.683737
164.683737
exponential_interest
0
sinusoid
2.5
4
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
4
0
25
0.073303
Calculate the compound interest: $100 invested at 7.330303993% annual rate for 6 years. FINAL:
152.874186
152.874186
exponential_interest
0
sinusoid
2.5
4
0
26
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
4
0
27
0.063832
Calculate the compound interest: $100 invested at 6.383210818% annual rate for 6 years. FINAL:
144.95679
144.95679
exponential_interest
0
sinusoid
2.5
4
0
28
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
4
0
29
0.063832
Calculate the compound interest: $100 invested at 6.383210818% annual rate for 6 years. FINAL:
144.95679
144.95679
exponential_interest
0
sinusoid
2.5
4
0
30
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
4
0
31
0.073303
Calculate the compound interest: $100 invested at 7.330303993% annual rate for 6 years. FINAL:
152.874186
152.874186
exponential_interest
0
sinusoid
2.5
4
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
4
0
33
0.086697
Calculate the compound interest: $100 invested at 8.669696007% annual rate for 6 years. FINAL:
164.683737
164.683737
exponential_interest
0
sinusoid
2.5
4
0
34
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
4
0
35
0.096168
Calculate the compound interest: $100 invested at 9.616789182% annual rate for 6 years. FINAL:
173.485212
173.485212
exponential_interest
0
sinusoid
2.5
4
0
36
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
4
0
37
0.096168
Calculate the compound interest: $100 invested at 9.616789182% annual rate for 6 years. FINAL:
173.485212
173.485212
exponential_interest
0
sinusoid
2.5
4
0
38
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
4
0
39
0.086697
Calculate the compound interest: $100 invested at 8.669696007% annual rate for 6 years. FINAL:
164.683737
164.683737
exponential_interest
0
sinusoid
2.5
4
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
4
0
41
0.073303
Calculate the compound interest: $100 invested at 7.330303993% annual rate for 6 years. FINAL:
152.874186
152.874186
exponential_interest
0
sinusoid
2.5
4
0
42
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
4
0
43
0.063832
Calculate the compound interest: $100 invested at 6.383210818% annual rate for 6 years. FINAL:
144.95679
144.95679
exponential_interest
0
sinusoid
2.5
4
0
44
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
4
0
45
0.063832
Calculate the compound interest: $100 invested at 6.383210818% annual rate for 6 years. FINAL:
144.95679
144.95679
exponential_interest
0
sinusoid
2.5
4
0
46
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
4
0
47
0.073303
Calculate the compound interest: $100 invested at 7.330303993% annual rate for 6 years. FINAL:
152.874186
152.874186
exponential_interest
0
sinusoid
2.5
4
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
4
0
49
0.086697
Calculate the compound interest: $100 invested at 8.669696007% annual rate for 6 years. FINAL:
164.683737
164.683737
exponential_interest
0
sinusoid
2.5
4
0
50
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
4
0
51
0.096168
Calculate the compound interest: $100 invested at 9.616789182% annual rate for 6 years. FINAL:
173.485212
173.485212
exponential_interest
0
sinusoid
2.5
4
0
52
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
4
0
53
0.096168
Calculate the compound interest: $100 invested at 9.616789182% annual rate for 6 years. FINAL:
173.485212
173.485212
exponential_interest
0
sinusoid
2.5
4
0
54
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
4
0
55
0.086697
Calculate the compound interest: $100 invested at 8.669696007% annual rate for 6 years. FINAL:
164.683737
164.683737
exponential_interest
0
sinusoid
2.5
4
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
4
0
57
0.073303
Calculate the compound interest: $100 invested at 7.330303993% annual rate for 6 years. FINAL:
152.874186
152.874186
exponential_interest
0
sinusoid
2.5
4
0
58
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
4
0
59
0.063832
Calculate the compound interest: $100 invested at 6.383210818% annual rate for 6 years. FINAL:
144.95679
144.95679
exponential_interest
0
sinusoid
2.5
4
0
60
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
4
0
61
0.063832
Calculate the compound interest: $100 invested at 6.383210818% annual rate for 6 years. FINAL:
144.95679
144.95679
exponential_interest
0
sinusoid
2.5
4
0
62
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
4
0
63
0.073303
Calculate the compound interest: $100 invested at 7.330303993% annual rate for 6 years. FINAL:
152.874186
152.874186
exponential_interest
0
sinusoid
2.5
8
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
8
0
1
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
2
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
3
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
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
8
0
5
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
6
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
7
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
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
8
0
9
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
10
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
11
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
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
8
0
13
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
14
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
15
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
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
8
0
17
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
18
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
19
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
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
8
0
21
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
22
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
23
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
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
8
0
25
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
26
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
27
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
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
8
0
29
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
30
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
31
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
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
8
0
33
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
34
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
35
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
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
8
0
37
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
38
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
39
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
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
8
0
41
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
42
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
43
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
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
8
0
45
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
46
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
47
0.067626
Calculate the compound interest: $100 invested at 6.762563133% annual rate for 6 years. FINAL:
148.085982
148.085982