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
4
0
52
0.0975
Calculate the compound interest: $200 invested at 9.75% annual rate for 5 years. FINAL:
318.45835
318.45835
exponential_interest
1
sinusoid
2.5
4
0
53
0.096168
Calculate the compound interest: $200 invested at 9.616789182% annual rate for 5 years. FINAL:
316.530366
316.530366
exponential_interest
1
sinusoid
2.5
4
0
54
0.092374
Calculate the compound interest: $200 invested at 9.237436867% annual rate for 5 years. FINAL:
311.09104
311.09104
exponential_interest
1
sinusoid
2.5
4
0
55
0.086697
Calculate the compound interest: $200 invested at 8.669696007% annual rate for 5 years. FINAL:
303.090453
303.090453
exponential_interest
1
sinusoid
2.5
4
0
56
0.08
Calculate the compound interest: $200 invested at 8% annual rate for 5 years. FINAL:
293.865615
293.865615
exponential_interest
1
sinusoid
2.5
4
0
57
0.073303
Calculate the compound interest: $200 invested at 7.330303993% annual rate for 5 years. FINAL:
284.866771
284.866771
exponential_interest
1
sinusoid
2.5
4
0
58
0.067626
Calculate the compound interest: $200 invested at 6.762563133% annual rate for 5 years. FINAL:
277.411815
277.411815
exponential_interest
1
sinusoid
2.5
4
0
59
0.063832
Calculate the compound interest: $200 invested at 6.383210818% annual rate for 5 years. FINAL:
272.518171
272.518171
exponential_interest
1
sinusoid
2.5
4
0
60
0.0625
Calculate the compound interest: $200 invested at 6.25% annual rate for 5 years. FINAL:
270.816231
270.816231
exponential_interest
1
sinusoid
2.5
4
0
61
0.063832
Calculate the compound interest: $200 invested at 6.383210818% annual rate for 5 years. FINAL:
272.518171
272.518171
exponential_interest
1
sinusoid
2.5
4
0
62
0.067626
Calculate the compound interest: $200 invested at 6.762563133% annual rate for 5 years. FINAL:
277.411815
277.411815
exponential_interest
1
sinusoid
2.5
4
0
63
0.073303
Calculate the compound interest: $200 invested at 7.330303993% annual rate for 5 years. FINAL:
284.866771
284.866771
exponential_interest
1
sinusoid
2.5
8
0
0
0.08
Calculate the compound interest: $200 invested at 8% annual rate for 5 years. FINAL:
293.865615
293.865615
exponential_interest
1
sinusoid
2.5
8
0
1
0.092374
Calculate the compound interest: $200 invested at 9.237436867% annual rate for 5 years. FINAL:
311.09104
311.09104
exponential_interest
1
sinusoid
2.5
8
0
2
0.0975
Calculate the compound interest: $200 invested at 9.75% annual rate for 5 years. FINAL:
318.45835
318.45835
exponential_interest
1
sinusoid
2.5
8
0
3
0.092374
Calculate the compound interest: $200 invested at 9.237436867% annual rate for 5 years. FINAL:
311.09104
311.09104
exponential_interest
1
sinusoid
2.5
8
0
4
0.08
Calculate the compound interest: $200 invested at 8% annual rate for 5 years. FINAL:
293.865615
293.865615
exponential_interest
1
sinusoid
2.5
8
0
5
0.067626
Calculate the compound interest: $200 invested at 6.762563133% annual rate for 5 years. FINAL:
277.411815
277.411815
exponential_interest
1
sinusoid
2.5
8
0
6
0.0625
Calculate the compound interest: $200 invested at 6.25% annual rate for 5 years. FINAL:
270.816231
270.816231
exponential_interest
1
sinusoid
2.5
8
0
7
0.067626
Calculate the compound interest: $200 invested at 6.762563133% annual rate for 5 years. FINAL:
277.411815
277.411815
exponential_interest
1
sinusoid
2.5
8
0
8
0.08
Calculate the compound interest: $200 invested at 8% annual rate for 5 years. FINAL:
293.865615
293.865615
exponential_interest
1
sinusoid
2.5
8
0
9
0.092374
Calculate the compound interest: $200 invested at 9.237436867% annual rate for 5 years. FINAL:
311.09104
311.09104
exponential_interest
1
sinusoid
2.5
8
0
10
0.0975
Calculate the compound interest: $200 invested at 9.75% annual rate for 5 years. FINAL:
318.45835
318.45835
exponential_interest
1
sinusoid
2.5
8
0
11
0.092374
Calculate the compound interest: $200 invested at 9.237436867% annual rate for 5 years. FINAL:
311.09104
311.09104
exponential_interest
1
sinusoid
2.5
8
0
12
0.08
Calculate the compound interest: $200 invested at 8% annual rate for 5 years. FINAL:
293.865615
293.865615
exponential_interest
1
sinusoid
2.5
8
0
13
0.067626
Calculate the compound interest: $200 invested at 6.762563133% annual rate for 5 years. FINAL:
277.411815
277.411815
exponential_interest
1
sinusoid
2.5
8
0
14
0.0625
Calculate the compound interest: $200 invested at 6.25% annual rate for 5 years. FINAL:
270.816231
270.816231
exponential_interest
1
sinusoid
2.5
8
0
15
0.067626
Calculate the compound interest: $200 invested at 6.762563133% annual rate for 5 years. FINAL:
277.411815
277.411815
exponential_interest
1
sinusoid
2.5
8
0
16
0.08
Calculate the compound interest: $200 invested at 8% annual rate for 5 years. FINAL:
293.865615
293.865615
exponential_interest
1
sinusoid
2.5
8
0
17
0.092374
Calculate the compound interest: $200 invested at 9.237436867% annual rate for 5 years. FINAL:
311.09104
311.09104
exponential_interest
1
sinusoid
2.5
8
0
18
0.0975
Calculate the compound interest: $200 invested at 9.75% annual rate for 5 years. FINAL:
318.45835
318.45835
exponential_interest
1
sinusoid
2.5
8
0
19
0.092374
Calculate the compound interest: $200 invested at 9.237436867% annual rate for 5 years. FINAL:
311.09104
311.09104
exponential_interest
1
sinusoid
2.5
8
0
20
0.08
Calculate the compound interest: $200 invested at 8% annual rate for 5 years. FINAL:
293.865615
293.865615
exponential_interest
1
sinusoid
2.5
8
0
21
0.067626
Calculate the compound interest: $200 invested at 6.762563133% annual rate for 5 years. FINAL:
277.411815
277.411815
exponential_interest
1
sinusoid
2.5
8
0
22
0.0625
Calculate the compound interest: $200 invested at 6.25% annual rate for 5 years. FINAL:
270.816231
270.816231
exponential_interest
1
sinusoid
2.5
8
0
23
0.067626
Calculate the compound interest: $200 invested at 6.762563133% annual rate for 5 years. FINAL:
277.411815
277.411815
exponential_interest
1
sinusoid
2.5
8
0
24
0.08
Calculate the compound interest: $200 invested at 8% annual rate for 5 years. FINAL:
293.865615
293.865615
exponential_interest
1
sinusoid
2.5
8
0
25
0.092374
Calculate the compound interest: $200 invested at 9.237436867% annual rate for 5 years. FINAL:
311.09104
311.09104
exponential_interest
1
sinusoid
2.5
8
0
26
0.0975
Calculate the compound interest: $200 invested at 9.75% annual rate for 5 years. FINAL:
318.45835
318.45835
exponential_interest
1
sinusoid
2.5
8
0
27
0.092374
Calculate the compound interest: $200 invested at 9.237436867% annual rate for 5 years. FINAL:
311.09104
311.09104
exponential_interest
1
sinusoid
2.5
8
0
28
0.08
Calculate the compound interest: $200 invested at 8% annual rate for 5 years. FINAL:
293.865615
293.865615
exponential_interest
1
sinusoid
2.5
8
0
29
0.067626
Calculate the compound interest: $200 invested at 6.762563133% annual rate for 5 years. FINAL:
277.411815
277.411815
exponential_interest
1
sinusoid
2.5
8
0
30
0.0625
Calculate the compound interest: $200 invested at 6.25% annual rate for 5 years. FINAL:
270.816231
270.816231
exponential_interest
1
sinusoid
2.5
8
0
31
0.067626
Calculate the compound interest: $200 invested at 6.762563133% annual rate for 5 years. FINAL:
277.411815
277.411815
exponential_interest
1
sinusoid
2.5
8
0
32
0.08
Calculate the compound interest: $200 invested at 8% annual rate for 5 years. FINAL:
293.865615
293.865615
exponential_interest
1
sinusoid
2.5
8
0
33
0.092374
Calculate the compound interest: $200 invested at 9.237436867% annual rate for 5 years. FINAL:
311.09104
311.09104
exponential_interest
1
sinusoid
2.5
8
0
34
0.0975
Calculate the compound interest: $200 invested at 9.75% annual rate for 5 years. FINAL:
318.45835
318.45835
exponential_interest
1
sinusoid
2.5
8
0
35
0.092374
Calculate the compound interest: $200 invested at 9.237436867% annual rate for 5 years. FINAL:
311.09104
311.09104
exponential_interest
1
sinusoid
2.5
8
0
36
0.08
Calculate the compound interest: $200 invested at 8% annual rate for 5 years. FINAL:
293.865615
293.865615
exponential_interest
1
sinusoid
2.5
8
0
37
0.067626
Calculate the compound interest: $200 invested at 6.762563133% annual rate for 5 years. FINAL:
277.411815
277.411815
exponential_interest
1
sinusoid
2.5
8
0
38
0.0625
Calculate the compound interest: $200 invested at 6.25% annual rate for 5 years. FINAL:
270.816231
270.816231
exponential_interest
1
sinusoid
2.5
8
0
39
0.067626
Calculate the compound interest: $200 invested at 6.762563133% annual rate for 5 years. FINAL:
277.411815
277.411815
exponential_interest
1
sinusoid
2.5
8
0
40
0.08
Calculate the compound interest: $200 invested at 8% annual rate for 5 years. FINAL:
293.865615
293.865615
exponential_interest
1
sinusoid
2.5
8
0
41
0.092374
Calculate the compound interest: $200 invested at 9.237436867% annual rate for 5 years. FINAL:
311.09104
311.09104
exponential_interest
1
sinusoid
2.5
8
0
42
0.0975
Calculate the compound interest: $200 invested at 9.75% annual rate for 5 years. FINAL:
318.45835
318.45835
exponential_interest
1
sinusoid
2.5
8
0
43
0.092374
Calculate the compound interest: $200 invested at 9.237436867% annual rate for 5 years. FINAL:
311.09104
311.09104
exponential_interest
1
sinusoid
2.5
8
0
44
0.08
Calculate the compound interest: $200 invested at 8% annual rate for 5 years. FINAL:
293.865615
293.865615
exponential_interest
1
sinusoid
2.5
8
0
45
0.067626
Calculate the compound interest: $200 invested at 6.762563133% annual rate for 5 years. FINAL:
277.411815
277.411815
exponential_interest
1
sinusoid
2.5
8
0
46
0.0625
Calculate the compound interest: $200 invested at 6.25% annual rate for 5 years. FINAL:
270.816231
270.816231
exponential_interest
1
sinusoid
2.5
8
0
47
0.067626
Calculate the compound interest: $200 invested at 6.762563133% annual rate for 5 years. FINAL:
277.411815
277.411815
exponential_interest
1
sinusoid
2.5
8
0
48
0.08
Calculate the compound interest: $200 invested at 8% annual rate for 5 years. FINAL:
293.865615
293.865615
exponential_interest
1
sinusoid
2.5
8
0
49
0.092374
Calculate the compound interest: $200 invested at 9.237436867% annual rate for 5 years. FINAL:
311.09104
311.09104
exponential_interest
1
sinusoid
2.5
8
0
50
0.0975
Calculate the compound interest: $200 invested at 9.75% annual rate for 5 years. FINAL:
318.45835
318.45835
exponential_interest
1
sinusoid
2.5
8
0
51
0.092374
Calculate the compound interest: $200 invested at 9.237436867% annual rate for 5 years. FINAL:
311.09104
311.09104
exponential_interest
1
sinusoid
2.5
8
0
52
0.08
Calculate the compound interest: $200 invested at 8% annual rate for 5 years. FINAL:
293.865615
293.865615
exponential_interest
1
sinusoid
2.5
8
0
53
0.067626
Calculate the compound interest: $200 invested at 6.762563133% annual rate for 5 years. FINAL:
277.411815
277.411815
exponential_interest
1
sinusoid
2.5
8
0
54
0.0625
Calculate the compound interest: $200 invested at 6.25% annual rate for 5 years. FINAL:
270.816231
270.816231
exponential_interest
1
sinusoid
2.5
8
0
55
0.067626
Calculate the compound interest: $200 invested at 6.762563133% annual rate for 5 years. FINAL:
277.411815
277.411815
exponential_interest
1
sinusoid
2.5
8
0
56
0.08
Calculate the compound interest: $200 invested at 8% annual rate for 5 years. FINAL:
293.865615
293.865615
exponential_interest
1
sinusoid
2.5
8
0
57
0.092374
Calculate the compound interest: $200 invested at 9.237436867% annual rate for 5 years. FINAL:
311.09104
311.09104
exponential_interest
1
sinusoid
2.5
8
0
58
0.0975
Calculate the compound interest: $200 invested at 9.75% annual rate for 5 years. FINAL:
318.45835
318.45835
exponential_interest
1
sinusoid
2.5
8
0
59
0.092374
Calculate the compound interest: $200 invested at 9.237436867% annual rate for 5 years. FINAL:
311.09104
311.09104
exponential_interest
1
sinusoid
2.5
8
0
60
0.08
Calculate the compound interest: $200 invested at 8% annual rate for 5 years. FINAL:
293.865615
293.865615
exponential_interest
1
sinusoid
2.5
8
0
61
0.067626
Calculate the compound interest: $200 invested at 6.762563133% annual rate for 5 years. FINAL:
277.411815
277.411815
exponential_interest
1
sinusoid
2.5
8
0
62
0.0625
Calculate the compound interest: $200 invested at 6.25% annual rate for 5 years. FINAL:
270.816231
270.816231
exponential_interest
1
sinusoid
2.5
8
0
63
0.067626
Calculate the compound interest: $200 invested at 6.762563133% annual rate for 5 years. FINAL:
277.411815
277.411815
exponential_interest
1
sinusoid
2.5
16
0
0
0.08
Calculate the compound interest: $200 invested at 8% annual rate for 5 years. FINAL:
293.865615
293.865615
exponential_interest
1
sinusoid
2.5
16
0
1
0.0975
Calculate the compound interest: $200 invested at 9.75% annual rate for 5 years. FINAL:
318.45835
318.45835
exponential_interest
1
sinusoid
2.5
16
0
2
0.08
Calculate the compound interest: $200 invested at 8% annual rate for 5 years. FINAL:
293.865615
293.865615
exponential_interest
1
sinusoid
2.5
16
0
3
0.0625
Calculate the compound interest: $200 invested at 6.25% annual rate for 5 years. FINAL:
270.816231
270.816231
exponential_interest
1
sinusoid
2.5
16
0
4
0.08
Calculate the compound interest: $200 invested at 8% annual rate for 5 years. FINAL:
293.865615
293.865615
exponential_interest
1
sinusoid
2.5
16
0
5
0.0975
Calculate the compound interest: $200 invested at 9.75% annual rate for 5 years. FINAL:
318.45835
318.45835
exponential_interest
1
sinusoid
2.5
16
0
6
0.08
Calculate the compound interest: $200 invested at 8% annual rate for 5 years. FINAL:
293.865615
293.865615
exponential_interest
1
sinusoid
2.5
16
0
7
0.0625
Calculate the compound interest: $200 invested at 6.25% annual rate for 5 years. FINAL:
270.816231
270.816231
exponential_interest
1
sinusoid
2.5
16
0
8
0.08
Calculate the compound interest: $200 invested at 8% annual rate for 5 years. FINAL:
293.865615
293.865615
exponential_interest
1
sinusoid
2.5
16
0
9
0.0975
Calculate the compound interest: $200 invested at 9.75% annual rate for 5 years. FINAL:
318.45835
318.45835
exponential_interest
1
sinusoid
2.5
16
0
10
0.08
Calculate the compound interest: $200 invested at 8% annual rate for 5 years. FINAL:
293.865615
293.865615
exponential_interest
1
sinusoid
2.5
16
0
11
0.0625
Calculate the compound interest: $200 invested at 6.25% annual rate for 5 years. FINAL:
270.816231
270.816231
exponential_interest
1
sinusoid
2.5
16
0
12
0.08
Calculate the compound interest: $200 invested at 8% annual rate for 5 years. FINAL:
293.865615
293.865615
exponential_interest
1
sinusoid
2.5
16
0
13
0.0975
Calculate the compound interest: $200 invested at 9.75% annual rate for 5 years. FINAL:
318.45835
318.45835
exponential_interest
1
sinusoid
2.5
16
0
14
0.08
Calculate the compound interest: $200 invested at 8% annual rate for 5 years. FINAL:
293.865615
293.865615
exponential_interest
1
sinusoid
2.5
16
0
15
0.0625
Calculate the compound interest: $200 invested at 6.25% annual rate for 5 years. FINAL:
270.816231
270.816231
exponential_interest
1
sinusoid
2.5
16
0
16
0.08
Calculate the compound interest: $200 invested at 8% annual rate for 5 years. FINAL:
293.865615
293.865615
exponential_interest
1
sinusoid
2.5
16
0
17
0.0975
Calculate the compound interest: $200 invested at 9.75% annual rate for 5 years. FINAL:
318.45835
318.45835
exponential_interest
1
sinusoid
2.5
16
0
18
0.08
Calculate the compound interest: $200 invested at 8% annual rate for 5 years. FINAL:
293.865615
293.865615
exponential_interest
1
sinusoid
2.5
16
0
19
0.0625
Calculate the compound interest: $200 invested at 6.25% annual rate for 5 years. FINAL:
270.816231
270.816231
exponential_interest
1
sinusoid
2.5
16
0
20
0.08
Calculate the compound interest: $200 invested at 8% annual rate for 5 years. FINAL:
293.865615
293.865615
exponential_interest
1
sinusoid
2.5
16
0
21
0.0975
Calculate the compound interest: $200 invested at 9.75% annual rate for 5 years. FINAL:
318.45835
318.45835
exponential_interest
1
sinusoid
2.5
16
0
22
0.08
Calculate the compound interest: $200 invested at 8% annual rate for 5 years. FINAL:
293.865615
293.865615
exponential_interest
1
sinusoid
2.5
16
0
23
0.0625
Calculate the compound interest: $200 invested at 6.25% annual rate for 5 years. FINAL:
270.816231
270.816231