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
0.5
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
0.5
8
0
9
0.082475
Calculate the compound interest: $100 invested at 8.247487373% annual rate for 6 years. FINAL:
160.881811
160.881811
exponential_interest
0
sinusoid
0.5
8
0
10
0.0835
Calculate the compound interest: $100 invested at 8.35% annual rate for 6 years. FINAL:
161.798129
161.798129
exponential_interest
0
sinusoid
0.5
8
0
11
0.082475
Calculate the compound interest: $100 invested at 8.247487373% annual rate for 6 years. FINAL:
160.881811
160.881811
exponential_interest
0
sinusoid
0.5
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
0.5
8
0
13
0.077525
Calculate the compound interest: $100 invested at 7.752512627% annual rate for 6 years. FINAL:
156.518053
156.518053
exponential_interest
0
sinusoid
0.5
8
0
14
0.0765
Calculate the compound interest: $100 invested at 7.65% annual rate for 6 years. FINAL:
155.626735
155.626735
exponential_interest
0
sinusoid
0.5
8
0
15
0.077525
Calculate the compound interest: $100 invested at 7.752512627% annual rate for 6 years. FINAL:
156.518053
156.518053
exponential_interest
0
sinusoid
0.5
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
0.5
8
0
17
0.082475
Calculate the compound interest: $100 invested at 8.247487373% annual rate for 6 years. FINAL:
160.881811
160.881811
exponential_interest
0
sinusoid
0.5
8
0
18
0.0835
Calculate the compound interest: $100 invested at 8.35% annual rate for 6 years. FINAL:
161.798129
161.798129
exponential_interest
0
sinusoid
0.5
8
0
19
0.082475
Calculate the compound interest: $100 invested at 8.247487373% annual rate for 6 years. FINAL:
160.881811
160.881811
exponential_interest
0
sinusoid
0.5
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
0.5
8
0
21
0.077525
Calculate the compound interest: $100 invested at 7.752512627% annual rate for 6 years. FINAL:
156.518053
156.518053
exponential_interest
0
sinusoid
0.5
8
0
22
0.0765
Calculate the compound interest: $100 invested at 7.65% annual rate for 6 years. FINAL:
155.626735
155.626735
exponential_interest
0
sinusoid
0.5
8
0
23
0.077525
Calculate the compound interest: $100 invested at 7.752512627% annual rate for 6 years. FINAL:
156.518053
156.518053
exponential_interest
0
sinusoid
0.5
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
0.5
8
0
25
0.082475
Calculate the compound interest: $100 invested at 8.247487373% annual rate for 6 years. FINAL:
160.881811
160.881811
exponential_interest
0
sinusoid
0.5
8
0
26
0.0835
Calculate the compound interest: $100 invested at 8.35% annual rate for 6 years. FINAL:
161.798129
161.798129
exponential_interest
0
sinusoid
0.5
8
0
27
0.082475
Calculate the compound interest: $100 invested at 8.247487373% annual rate for 6 years. FINAL:
160.881811
160.881811
exponential_interest
0
sinusoid
0.5
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
0.5
8
0
29
0.077525
Calculate the compound interest: $100 invested at 7.752512627% annual rate for 6 years. FINAL:
156.518053
156.518053
exponential_interest
0
sinusoid
0.5
8
0
30
0.0765
Calculate the compound interest: $100 invested at 7.65% annual rate for 6 years. FINAL:
155.626735
155.626735
exponential_interest
0
sinusoid
0.5
8
0
31
0.077525
Calculate the compound interest: $100 invested at 7.752512627% annual rate for 6 years. FINAL:
156.518053
156.518053
exponential_interest
0
sinusoid
0.5
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
0.5
8
0
33
0.082475
Calculate the compound interest: $100 invested at 8.247487373% annual rate for 6 years. FINAL:
160.881811
160.881811
exponential_interest
0
sinusoid
0.5
8
0
34
0.0835
Calculate the compound interest: $100 invested at 8.35% annual rate for 6 years. FINAL:
161.798129
161.798129
exponential_interest
0
sinusoid
0.5
8
0
35
0.082475
Calculate the compound interest: $100 invested at 8.247487373% annual rate for 6 years. FINAL:
160.881811
160.881811
exponential_interest
0
sinusoid
0.5
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
0.5
8
0
37
0.077525
Calculate the compound interest: $100 invested at 7.752512627% annual rate for 6 years. FINAL:
156.518053
156.518053
exponential_interest
0
sinusoid
0.5
8
0
38
0.0765
Calculate the compound interest: $100 invested at 7.65% annual rate for 6 years. FINAL:
155.626735
155.626735
exponential_interest
0
sinusoid
0.5
8
0
39
0.077525
Calculate the compound interest: $100 invested at 7.752512627% annual rate for 6 years. FINAL:
156.518053
156.518053
exponential_interest
0
sinusoid
0.5
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
0.5
8
0
41
0.082475
Calculate the compound interest: $100 invested at 8.247487373% annual rate for 6 years. FINAL:
160.881811
160.881811
exponential_interest
0
sinusoid
0.5
8
0
42
0.0835
Calculate the compound interest: $100 invested at 8.35% annual rate for 6 years. FINAL:
161.798129
161.798129
exponential_interest
0
sinusoid
0.5
8
0
43
0.082475
Calculate the compound interest: $100 invested at 8.247487373% annual rate for 6 years. FINAL:
160.881811
160.881811
exponential_interest
0
sinusoid
0.5
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
0.5
8
0
45
0.077525
Calculate the compound interest: $100 invested at 7.752512627% annual rate for 6 years. FINAL:
156.518053
156.518053
exponential_interest
0
sinusoid
0.5
8
0
46
0.0765
Calculate the compound interest: $100 invested at 7.65% annual rate for 6 years. FINAL:
155.626735
155.626735
exponential_interest
0
sinusoid
0.5
8
0
47
0.077525
Calculate the compound interest: $100 invested at 7.752512627% annual rate for 6 years. FINAL:
156.518053
156.518053
exponential_interest
0
sinusoid
0.5
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
0.5
8
0
49
0.082475
Calculate the compound interest: $100 invested at 8.247487373% annual rate for 6 years. FINAL:
160.881811
160.881811
exponential_interest
0
sinusoid
0.5
8
0
50
0.0835
Calculate the compound interest: $100 invested at 8.35% annual rate for 6 years. FINAL:
161.798129
161.798129
exponential_interest
0
sinusoid
0.5
8
0
51
0.082475
Calculate the compound interest: $100 invested at 8.247487373% annual rate for 6 years. FINAL:
160.881811
160.881811
exponential_interest
0
sinusoid
0.5
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
0.5
8
0
53
0.077525
Calculate the compound interest: $100 invested at 7.752512627% annual rate for 6 years. FINAL:
156.518053
156.518053
exponential_interest
0
sinusoid
0.5
8
0
54
0.0765
Calculate the compound interest: $100 invested at 7.65% annual rate for 6 years. FINAL:
155.626735
155.626735
exponential_interest
0
sinusoid
0.5
8
0
55
0.077525
Calculate the compound interest: $100 invested at 7.752512627% annual rate for 6 years. FINAL:
156.518053
156.518053
exponential_interest
0
sinusoid
0.5
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
0.5
8
0
57
0.082475
Calculate the compound interest: $100 invested at 8.247487373% annual rate for 6 years. FINAL:
160.881811
160.881811
exponential_interest
0
sinusoid
0.5
8
0
58
0.0835
Calculate the compound interest: $100 invested at 8.35% annual rate for 6 years. FINAL:
161.798129
161.798129
exponential_interest
0
sinusoid
0.5
8
0
59
0.082475
Calculate the compound interest: $100 invested at 8.247487373% annual rate for 6 years. FINAL:
160.881811
160.881811
exponential_interest
0
sinusoid
0.5
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
0.5
8
0
61
0.077525
Calculate the compound interest: $100 invested at 7.752512627% annual rate for 6 years. FINAL:
156.518053
156.518053
exponential_interest
0
sinusoid
0.5
8
0
62
0.0765
Calculate the compound interest: $100 invested at 7.65% annual rate for 6 years. FINAL:
155.626735
155.626735
exponential_interest
0
sinusoid
0.5
8
0
63
0.077525
Calculate the compound interest: $100 invested at 7.752512627% annual rate for 6 years. FINAL:
156.518053
156.518053
exponential_interest
0
sinusoid
0.5
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
0.5
16
0
1
0.0835
Calculate the compound interest: $100 invested at 8.35% annual rate for 6 years. FINAL:
161.798129
161.798129
exponential_interest
0
sinusoid
0.5
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
0.5
16
0
3
0.0765
Calculate the compound interest: $100 invested at 7.65% annual rate for 6 years. FINAL:
155.626735
155.626735
exponential_interest
0
sinusoid
0.5
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
0.5
16
0
5
0.0835
Calculate the compound interest: $100 invested at 8.35% annual rate for 6 years. FINAL:
161.798129
161.798129
exponential_interest
0
sinusoid
0.5
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
0.5
16
0
7
0.0765
Calculate the compound interest: $100 invested at 7.65% annual rate for 6 years. FINAL:
155.626735
155.626735
exponential_interest
0
sinusoid
0.5
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
0.5
16
0
9
0.0835
Calculate the compound interest: $100 invested at 8.35% annual rate for 6 years. FINAL:
161.798129
161.798129
exponential_interest
0
sinusoid
0.5
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
0.5
16
0
11
0.0765
Calculate the compound interest: $100 invested at 7.65% annual rate for 6 years. FINAL:
155.626735
155.626735
exponential_interest
0
sinusoid
0.5
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
0.5
16
0
13
0.0835
Calculate the compound interest: $100 invested at 8.35% annual rate for 6 years. FINAL:
161.798129
161.798129
exponential_interest
0
sinusoid
0.5
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
0.5
16
0
15
0.0765
Calculate the compound interest: $100 invested at 7.65% annual rate for 6 years. FINAL:
155.626735
155.626735
exponential_interest
0
sinusoid
0.5
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
0.5
16
0
17
0.0835
Calculate the compound interest: $100 invested at 8.35% annual rate for 6 years. FINAL:
161.798129
161.798129
exponential_interest
0
sinusoid
0.5
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
0.5
16
0
19
0.0765
Calculate the compound interest: $100 invested at 7.65% annual rate for 6 years. FINAL:
155.626735
155.626735
exponential_interest
0
sinusoid
0.5
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
0.5
16
0
21
0.0835
Calculate the compound interest: $100 invested at 8.35% annual rate for 6 years. FINAL:
161.798129
161.798129
exponential_interest
0
sinusoid
0.5
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
0.5
16
0
23
0.0765
Calculate the compound interest: $100 invested at 7.65% annual rate for 6 years. FINAL:
155.626735
155.626735
exponential_interest
0
sinusoid
0.5
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
0.5
16
0
25
0.0835
Calculate the compound interest: $100 invested at 8.35% annual rate for 6 years. FINAL:
161.798129
161.798129
exponential_interest
0
sinusoid
0.5
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
0.5
16
0
27
0.0765
Calculate the compound interest: $100 invested at 7.65% annual rate for 6 years. FINAL:
155.626735
155.626735
exponential_interest
0
sinusoid
0.5
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
0.5
16
0
29
0.0835
Calculate the compound interest: $100 invested at 8.35% annual rate for 6 years. FINAL:
161.798129
161.798129
exponential_interest
0
sinusoid
0.5
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
0.5
16
0
31
0.0765
Calculate the compound interest: $100 invested at 7.65% annual rate for 6 years. FINAL:
155.626735
155.626735
exponential_interest
0
sinusoid
0.5
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
0.5
16
0
33
0.0835
Calculate the compound interest: $100 invested at 8.35% annual rate for 6 years. FINAL:
161.798129
161.798129
exponential_interest
0
sinusoid
0.5
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
0.5
16
0
35
0.0765
Calculate the compound interest: $100 invested at 7.65% annual rate for 6 years. FINAL:
155.626735
155.626735
exponential_interest
0
sinusoid
0.5
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
0.5
16
0
37
0.0835
Calculate the compound interest: $100 invested at 8.35% annual rate for 6 years. FINAL:
161.798129
161.798129
exponential_interest
0
sinusoid
0.5
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
0.5
16
0
39
0.0765
Calculate the compound interest: $100 invested at 7.65% annual rate for 6 years. FINAL:
155.626735
155.626735
exponential_interest
0
sinusoid
0.5
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
0.5
16
0
41
0.0835
Calculate the compound interest: $100 invested at 8.35% annual rate for 6 years. FINAL:
161.798129
161.798129
exponential_interest
0
sinusoid
0.5
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
0.5
16
0
43
0.0765
Calculate the compound interest: $100 invested at 7.65% annual rate for 6 years. FINAL:
155.626735
155.626735