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
1
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
1
8
0
29
0.07505
Calculate the compound interest: $100 invested at 7.505025253% annual rate for 6 years. FINAL:
154.373444
154.373444
exponential_interest
0
sinusoid
1
8
0
30
0.073
Calculate the compound interest: $100 invested at 7.3% annual rate for 6 years. FINAL:
152.61539
152.61539
exponential_interest
0
sinusoid
1
8
0
31
0.07505
Calculate the compound interest: $100 invested at 7.505025253% annual rate for 6 years. FINAL:
154.373444
154.373444
exponential_interest
0
sinusoid
1
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
1
8
0
33
0.08495
Calculate the compound interest: $100 invested at 8.494974747% annual rate for 6 years. FINAL:
163.101419
163.101419
exponential_interest
0
sinusoid
1
8
0
34
0.087
Calculate the compound interest: $100 invested at 8.7% annual rate for 6 years. FINAL:
164.959475
164.959475
exponential_interest
0
sinusoid
1
8
0
35
0.08495
Calculate the compound interest: $100 invested at 8.494974747% annual rate for 6 years. FINAL:
163.101419
163.101419
exponential_interest
0
sinusoid
1
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
1
8
0
37
0.07505
Calculate the compound interest: $100 invested at 7.505025253% annual rate for 6 years. FINAL:
154.373444
154.373444
exponential_interest
0
sinusoid
1
8
0
38
0.073
Calculate the compound interest: $100 invested at 7.3% annual rate for 6 years. FINAL:
152.61539
152.61539
exponential_interest
0
sinusoid
1
8
0
39
0.07505
Calculate the compound interest: $100 invested at 7.505025253% annual rate for 6 years. FINAL:
154.373444
154.373444
exponential_interest
0
sinusoid
1
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
1
8
0
41
0.08495
Calculate the compound interest: $100 invested at 8.494974747% annual rate for 6 years. FINAL:
163.101419
163.101419
exponential_interest
0
sinusoid
1
8
0
42
0.087
Calculate the compound interest: $100 invested at 8.7% annual rate for 6 years. FINAL:
164.959475
164.959475
exponential_interest
0
sinusoid
1
8
0
43
0.08495
Calculate the compound interest: $100 invested at 8.494974747% annual rate for 6 years. FINAL:
163.101419
163.101419
exponential_interest
0
sinusoid
1
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
1
8
0
45
0.07505
Calculate the compound interest: $100 invested at 7.505025253% annual rate for 6 years. FINAL:
154.373444
154.373444
exponential_interest
0
sinusoid
1
8
0
46
0.073
Calculate the compound interest: $100 invested at 7.3% annual rate for 6 years. FINAL:
152.61539
152.61539
exponential_interest
0
sinusoid
1
8
0
47
0.07505
Calculate the compound interest: $100 invested at 7.505025253% annual rate for 6 years. FINAL:
154.373444
154.373444
exponential_interest
0
sinusoid
1
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
1
8
0
49
0.08495
Calculate the compound interest: $100 invested at 8.494974747% annual rate for 6 years. FINAL:
163.101419
163.101419
exponential_interest
0
sinusoid
1
8
0
50
0.087
Calculate the compound interest: $100 invested at 8.7% annual rate for 6 years. FINAL:
164.959475
164.959475
exponential_interest
0
sinusoid
1
8
0
51
0.08495
Calculate the compound interest: $100 invested at 8.494974747% annual rate for 6 years. FINAL:
163.101419
163.101419
exponential_interest
0
sinusoid
1
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
1
8
0
53
0.07505
Calculate the compound interest: $100 invested at 7.505025253% annual rate for 6 years. FINAL:
154.373444
154.373444
exponential_interest
0
sinusoid
1
8
0
54
0.073
Calculate the compound interest: $100 invested at 7.3% annual rate for 6 years. FINAL:
152.61539
152.61539
exponential_interest
0
sinusoid
1
8
0
55
0.07505
Calculate the compound interest: $100 invested at 7.505025253% annual rate for 6 years. FINAL:
154.373444
154.373444
exponential_interest
0
sinusoid
1
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
1
8
0
57
0.08495
Calculate the compound interest: $100 invested at 8.494974747% annual rate for 6 years. FINAL:
163.101419
163.101419
exponential_interest
0
sinusoid
1
8
0
58
0.087
Calculate the compound interest: $100 invested at 8.7% annual rate for 6 years. FINAL:
164.959475
164.959475
exponential_interest
0
sinusoid
1
8
0
59
0.08495
Calculate the compound interest: $100 invested at 8.494974747% annual rate for 6 years. FINAL:
163.101419
163.101419
exponential_interest
0
sinusoid
1
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
1
8
0
61
0.07505
Calculate the compound interest: $100 invested at 7.505025253% annual rate for 6 years. FINAL:
154.373444
154.373444
exponential_interest
0
sinusoid
1
8
0
62
0.073
Calculate the compound interest: $100 invested at 7.3% annual rate for 6 years. FINAL:
152.61539
152.61539
exponential_interest
0
sinusoid
1
8
0
63
0.07505
Calculate the compound interest: $100 invested at 7.505025253% annual rate for 6 years. FINAL:
154.373444
154.373444
exponential_interest
0
sinusoid
1
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
1
16
0
1
0.087
Calculate the compound interest: $100 invested at 8.7% annual rate for 6 years. FINAL:
164.959475
164.959475
exponential_interest
0
sinusoid
1
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
1
16
0
3
0.073
Calculate the compound interest: $100 invested at 7.3% annual rate for 6 years. FINAL:
152.61539
152.61539
exponential_interest
0
sinusoid
1
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
1
16
0
5
0.087
Calculate the compound interest: $100 invested at 8.7% annual rate for 6 years. FINAL:
164.959475
164.959475
exponential_interest
0
sinusoid
1
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
1
16
0
7
0.073
Calculate the compound interest: $100 invested at 7.3% annual rate for 6 years. FINAL:
152.61539
152.61539
exponential_interest
0
sinusoid
1
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
1
16
0
9
0.087
Calculate the compound interest: $100 invested at 8.7% annual rate for 6 years. FINAL:
164.959475
164.959475
exponential_interest
0
sinusoid
1
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
1
16
0
11
0.073
Calculate the compound interest: $100 invested at 7.3% annual rate for 6 years. FINAL:
152.61539
152.61539
exponential_interest
0
sinusoid
1
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
1
16
0
13
0.087
Calculate the compound interest: $100 invested at 8.7% annual rate for 6 years. FINAL:
164.959475
164.959475
exponential_interest
0
sinusoid
1
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
1
16
0
15
0.073
Calculate the compound interest: $100 invested at 7.3% annual rate for 6 years. FINAL:
152.61539
152.61539
exponential_interest
0
sinusoid
1
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
1
16
0
17
0.087
Calculate the compound interest: $100 invested at 8.7% annual rate for 6 years. FINAL:
164.959475
164.959475
exponential_interest
0
sinusoid
1
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
1
16
0
19
0.073
Calculate the compound interest: $100 invested at 7.3% annual rate for 6 years. FINAL:
152.61539
152.61539
exponential_interest
0
sinusoid
1
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
1
16
0
21
0.087
Calculate the compound interest: $100 invested at 8.7% annual rate for 6 years. FINAL:
164.959475
164.959475
exponential_interest
0
sinusoid
1
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
1
16
0
23
0.073
Calculate the compound interest: $100 invested at 7.3% annual rate for 6 years. FINAL:
152.61539
152.61539
exponential_interest
0
sinusoid
1
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
1
16
0
25
0.087
Calculate the compound interest: $100 invested at 8.7% annual rate for 6 years. FINAL:
164.959475
164.959475
exponential_interest
0
sinusoid
1
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
1
16
0
27
0.073
Calculate the compound interest: $100 invested at 7.3% annual rate for 6 years. FINAL:
152.61539
152.61539
exponential_interest
0
sinusoid
1
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
1
16
0
29
0.087
Calculate the compound interest: $100 invested at 8.7% annual rate for 6 years. FINAL:
164.959475
164.959475
exponential_interest
0
sinusoid
1
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
1
16
0
31
0.073
Calculate the compound interest: $100 invested at 7.3% annual rate for 6 years. FINAL:
152.61539
152.61539
exponential_interest
0
sinusoid
1
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
1
16
0
33
0.087
Calculate the compound interest: $100 invested at 8.7% annual rate for 6 years. FINAL:
164.959475
164.959475
exponential_interest
0
sinusoid
1
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
1
16
0
35
0.073
Calculate the compound interest: $100 invested at 7.3% annual rate for 6 years. FINAL:
152.61539
152.61539
exponential_interest
0
sinusoid
1
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
1
16
0
37
0.087
Calculate the compound interest: $100 invested at 8.7% annual rate for 6 years. FINAL:
164.959475
164.959475
exponential_interest
0
sinusoid
1
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
1
16
0
39
0.073
Calculate the compound interest: $100 invested at 7.3% annual rate for 6 years. FINAL:
152.61539
152.61539
exponential_interest
0
sinusoid
1
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
1
16
0
41
0.087
Calculate the compound interest: $100 invested at 8.7% annual rate for 6 years. FINAL:
164.959475
164.959475
exponential_interest
0
sinusoid
1
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
1
16
0
43
0.073
Calculate the compound interest: $100 invested at 7.3% annual rate for 6 years. FINAL:
152.61539
152.61539
exponential_interest
0
sinusoid
1
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
1
16
0
45
0.087
Calculate the compound interest: $100 invested at 8.7% annual rate for 6 years. FINAL:
164.959475
164.959475
exponential_interest
0
sinusoid
1
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
1
16
0
47
0.073
Calculate the compound interest: $100 invested at 7.3% annual rate for 6 years. FINAL:
152.61539
152.61539
exponential_interest
0
sinusoid
1
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
1
16
0
49
0.087
Calculate the compound interest: $100 invested at 8.7% annual rate for 6 years. FINAL:
164.959475
164.959475
exponential_interest
0
sinusoid
1
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
1
16
0
51
0.073
Calculate the compound interest: $100 invested at 7.3% annual rate for 6 years. FINAL:
152.61539
152.61539
exponential_interest
0
sinusoid
1
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
1
16
0
53
0.087
Calculate the compound interest: $100 invested at 8.7% annual rate for 6 years. FINAL:
164.959475
164.959475
exponential_interest
0
sinusoid
1
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
1
16
0
55
0.073
Calculate the compound interest: $100 invested at 7.3% annual rate for 6 years. FINAL:
152.61539
152.61539
exponential_interest
0
sinusoid
1
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
1
16
0
57
0.087
Calculate the compound interest: $100 invested at 8.7% annual rate for 6 years. FINAL:
164.959475
164.959475
exponential_interest
0
sinusoid
1
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
1
16
0
59
0.073
Calculate the compound interest: $100 invested at 7.3% annual rate for 6 years. FINAL:
152.61539
152.61539
exponential_interest
0
sinusoid
1
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
1
16
0
61
0.087
Calculate the compound interest: $100 invested at 8.7% annual rate for 6 years. FINAL:
164.959475
164.959475
exponential_interest
0
sinusoid
1
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
1
16
0
63
0.073
Calculate the compound interest: $100 invested at 7.3% annual rate for 6 years. FINAL:
152.61539
152.61539