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
0.5
8
240
8
0.076969
Calculate the compound interest: $200 invested at 7.696891109% annual rate for 5 years. FINAL:
289.764935
289.764935
exponential_interest
1
sinusoid
0.5
8
240
9
0.076619
Calculate the compound interest: $200 invested at 7.661925961% annual rate for 5 years. FINAL:
289.294861
289.294861
exponential_interest
1
sinusoid
0.5
8
240
10
0.07825
Calculate the compound interest: $200 invested at 7.825% annual rate for 5 years. FINAL:
291.492463
291.492463
exponential_interest
1
sinusoid
0.5
8
240
11
0.080906
Calculate the compound interest: $200 invested at 8.090586666% annual rate for 5 years. FINAL:
295.100106
295.100106
exponential_interest
1
sinusoid
0.5
8
240
12
0.083031
Calculate the compound interest: $200 invested at 8.303108891% annual rate for 5 years. FINAL:
298.012591
298.012591
exponential_interest
1
sinusoid
0.5
8
240
13
0.083381
Calculate the compound interest: $200 invested at 8.338074039% annual rate for 5 years. FINAL:
298.493961
298.493961
exponential_interest
1
sinusoid
0.5
8
240
14
0.08175
Calculate the compound interest: $200 invested at 8.175% annual rate for 5 years. FINAL:
296.254199
296.254199
exponential_interest
1
sinusoid
0.5
8
240
15
0.079094
Calculate the compound interest: $200 invested at 7.909413334% annual rate for 5 years. FINAL:
292.635259
292.635259
exponential_interest
1
sinusoid
0.5
8
240
16
0.076969
Calculate the compound interest: $200 invested at 7.696891109% annual rate for 5 years. FINAL:
289.764935
289.764935
exponential_interest
1
sinusoid
0.5
8
240
17
0.076619
Calculate the compound interest: $200 invested at 7.661925961% annual rate for 5 years. FINAL:
289.294861
289.294861
exponential_interest
1
sinusoid
0.5
8
240
18
0.07825
Calculate the compound interest: $200 invested at 7.825% annual rate for 5 years. FINAL:
291.492463
291.492463
exponential_interest
1
sinusoid
0.5
8
240
19
0.080906
Calculate the compound interest: $200 invested at 8.090586666% annual rate for 5 years. FINAL:
295.100106
295.100106
exponential_interest
1
sinusoid
0.5
8
240
20
0.083031
Calculate the compound interest: $200 invested at 8.303108891% annual rate for 5 years. FINAL:
298.012591
298.012591
exponential_interest
1
sinusoid
0.5
8
240
21
0.083381
Calculate the compound interest: $200 invested at 8.338074039% annual rate for 5 years. FINAL:
298.493961
298.493961
exponential_interest
1
sinusoid
0.5
8
240
22
0.08175
Calculate the compound interest: $200 invested at 8.175% annual rate for 5 years. FINAL:
296.254199
296.254199
exponential_interest
1
sinusoid
0.5
8
240
23
0.079094
Calculate the compound interest: $200 invested at 7.909413334% annual rate for 5 years. FINAL:
292.635259
292.635259
exponential_interest
1
sinusoid
0.5
8
240
24
0.076969
Calculate the compound interest: $200 invested at 7.696891109% annual rate for 5 years. FINAL:
289.764935
289.764935
exponential_interest
1
sinusoid
0.5
8
240
25
0.076619
Calculate the compound interest: $200 invested at 7.661925961% annual rate for 5 years. FINAL:
289.294861
289.294861
exponential_interest
1
sinusoid
0.5
8
240
26
0.07825
Calculate the compound interest: $200 invested at 7.825% annual rate for 5 years. FINAL:
291.492463
291.492463
exponential_interest
1
sinusoid
0.5
8
240
27
0.080906
Calculate the compound interest: $200 invested at 8.090586666% annual rate for 5 years. FINAL:
295.100106
295.100106
exponential_interest
1
sinusoid
0.5
8
240
28
0.083031
Calculate the compound interest: $200 invested at 8.303108891% annual rate for 5 years. FINAL:
298.012591
298.012591
exponential_interest
1
sinusoid
0.5
8
240
29
0.083381
Calculate the compound interest: $200 invested at 8.338074039% annual rate for 5 years. FINAL:
298.493961
298.493961
exponential_interest
1
sinusoid
0.5
8
240
30
0.08175
Calculate the compound interest: $200 invested at 8.175% annual rate for 5 years. FINAL:
296.254199
296.254199
exponential_interest
1
sinusoid
0.5
8
240
31
0.079094
Calculate the compound interest: $200 invested at 7.909413334% annual rate for 5 years. FINAL:
292.635259
292.635259
exponential_interest
1
sinusoid
0.5
8
240
32
0.076969
Calculate the compound interest: $200 invested at 7.696891109% annual rate for 5 years. FINAL:
289.764935
289.764935
exponential_interest
1
sinusoid
0.5
8
240
33
0.076619
Calculate the compound interest: $200 invested at 7.661925961% annual rate for 5 years. FINAL:
289.294861
289.294861
exponential_interest
1
sinusoid
0.5
8
240
34
0.07825
Calculate the compound interest: $200 invested at 7.825% annual rate for 5 years. FINAL:
291.492463
291.492463
exponential_interest
1
sinusoid
0.5
8
240
35
0.080906
Calculate the compound interest: $200 invested at 8.090586666% annual rate for 5 years. FINAL:
295.100106
295.100106
exponential_interest
1
sinusoid
0.5
8
240
36
0.083031
Calculate the compound interest: $200 invested at 8.303108891% annual rate for 5 years. FINAL:
298.012591
298.012591
exponential_interest
1
sinusoid
0.5
8
240
37
0.083381
Calculate the compound interest: $200 invested at 8.338074039% annual rate for 5 years. FINAL:
298.493961
298.493961
exponential_interest
1
sinusoid
0.5
8
240
38
0.08175
Calculate the compound interest: $200 invested at 8.175% annual rate for 5 years. FINAL:
296.254199
296.254199
exponential_interest
1
sinusoid
0.5
8
240
39
0.079094
Calculate the compound interest: $200 invested at 7.909413334% annual rate for 5 years. FINAL:
292.635259
292.635259
exponential_interest
1
sinusoid
0.5
8
240
40
0.076969
Calculate the compound interest: $200 invested at 7.696891109% annual rate for 5 years. FINAL:
289.764935
289.764935
exponential_interest
1
sinusoid
0.5
8
240
41
0.076619
Calculate the compound interest: $200 invested at 7.661925961% annual rate for 5 years. FINAL:
289.294861
289.294861
exponential_interest
1
sinusoid
0.5
8
240
42
0.07825
Calculate the compound interest: $200 invested at 7.825% annual rate for 5 years. FINAL:
291.492463
291.492463
exponential_interest
1
sinusoid
0.5
8
240
43
0.080906
Calculate the compound interest: $200 invested at 8.090586666% annual rate for 5 years. FINAL:
295.100106
295.100106
exponential_interest
1
sinusoid
0.5
8
240
44
0.083031
Calculate the compound interest: $200 invested at 8.303108891% annual rate for 5 years. FINAL:
298.012591
298.012591
exponential_interest
1
sinusoid
0.5
8
240
45
0.083381
Calculate the compound interest: $200 invested at 8.338074039% annual rate for 5 years. FINAL:
298.493961
298.493961
exponential_interest
1
sinusoid
0.5
8
240
46
0.08175
Calculate the compound interest: $200 invested at 8.175% annual rate for 5 years. FINAL:
296.254199
296.254199
exponential_interest
1
sinusoid
0.5
8
240
47
0.079094
Calculate the compound interest: $200 invested at 7.909413334% annual rate for 5 years. FINAL:
292.635259
292.635259
exponential_interest
1
sinusoid
0.5
8
240
48
0.076969
Calculate the compound interest: $200 invested at 7.696891109% annual rate for 5 years. FINAL:
289.764935
289.764935
exponential_interest
1
sinusoid
0.5
8
240
49
0.076619
Calculate the compound interest: $200 invested at 7.661925961% annual rate for 5 years. FINAL:
289.294861
289.294861
exponential_interest
1
sinusoid
0.5
8
240
50
0.07825
Calculate the compound interest: $200 invested at 7.825% annual rate for 5 years. FINAL:
291.492463
291.492463
exponential_interest
1
sinusoid
0.5
8
240
51
0.080906
Calculate the compound interest: $200 invested at 8.090586666% annual rate for 5 years. FINAL:
295.100106
295.100106
exponential_interest
1
sinusoid
0.5
8
240
52
0.083031
Calculate the compound interest: $200 invested at 8.303108891% annual rate for 5 years. FINAL:
298.012591
298.012591
exponential_interest
1
sinusoid
0.5
8
240
53
0.083381
Calculate the compound interest: $200 invested at 8.338074039% annual rate for 5 years. FINAL:
298.493961
298.493961
exponential_interest
1
sinusoid
0.5
8
240
54
0.08175
Calculate the compound interest: $200 invested at 8.175% annual rate for 5 years. FINAL:
296.254199
296.254199
exponential_interest
1
sinusoid
0.5
8
240
55
0.079094
Calculate the compound interest: $200 invested at 7.909413334% annual rate for 5 years. FINAL:
292.635259
292.635259
exponential_interest
1
sinusoid
0.5
8
240
56
0.076969
Calculate the compound interest: $200 invested at 7.696891109% annual rate for 5 years. FINAL:
289.764935
289.764935
exponential_interest
1
sinusoid
0.5
8
240
57
0.076619
Calculate the compound interest: $200 invested at 7.661925961% annual rate for 5 years. FINAL:
289.294861
289.294861
exponential_interest
1
sinusoid
0.5
8
240
58
0.07825
Calculate the compound interest: $200 invested at 7.825% annual rate for 5 years. FINAL:
291.492463
291.492463
exponential_interest
1
sinusoid
0.5
8
240
59
0.080906
Calculate the compound interest: $200 invested at 8.090586666% annual rate for 5 years. FINAL:
295.100106
295.100106
exponential_interest
1
sinusoid
0.5
8
240
60
0.083031
Calculate the compound interest: $200 invested at 8.303108891% annual rate for 5 years. FINAL:
298.012591
298.012591
exponential_interest
1
sinusoid
0.5
8
240
61
0.083381
Calculate the compound interest: $200 invested at 8.338074039% annual rate for 5 years. FINAL:
298.493961
298.493961
exponential_interest
1
sinusoid
0.5
8
240
62
0.08175
Calculate the compound interest: $200 invested at 8.175% annual rate for 5 years. FINAL:
296.254199
296.254199
exponential_interest
1
sinusoid
0.5
8
240
63
0.079094
Calculate the compound interest: $200 invested at 7.909413334% annual rate for 5 years. FINAL:
292.635259
292.635259
exponential_interest
1
sinusoid
0.5
16
240
0
0.076969
Calculate the compound interest: $200 invested at 7.696891109% annual rate for 5 years. FINAL:
289.764935
289.764935
exponential_interest
1
sinusoid
0.5
16
240
1
0.07825
Calculate the compound interest: $200 invested at 7.825% annual rate for 5 years. FINAL:
291.492463
291.492463
exponential_interest
1
sinusoid
0.5
16
240
2
0.083031
Calculate the compound interest: $200 invested at 8.303108891% annual rate for 5 years. FINAL:
298.012591
298.012591
exponential_interest
1
sinusoid
0.5
16
240
3
0.08175
Calculate the compound interest: $200 invested at 8.175% annual rate for 5 years. FINAL:
296.254199
296.254199
exponential_interest
1
sinusoid
0.5
16
240
4
0.076969
Calculate the compound interest: $200 invested at 7.696891109% annual rate for 5 years. FINAL:
289.764935
289.764935
exponential_interest
1
sinusoid
0.5
16
240
5
0.07825
Calculate the compound interest: $200 invested at 7.825% annual rate for 5 years. FINAL:
291.492463
291.492463
exponential_interest
1
sinusoid
0.5
16
240
6
0.083031
Calculate the compound interest: $200 invested at 8.303108891% annual rate for 5 years. FINAL:
298.012591
298.012591
exponential_interest
1
sinusoid
0.5
16
240
7
0.08175
Calculate the compound interest: $200 invested at 8.175% annual rate for 5 years. FINAL:
296.254199
296.254199
exponential_interest
1
sinusoid
0.5
16
240
8
0.076969
Calculate the compound interest: $200 invested at 7.696891109% annual rate for 5 years. FINAL:
289.764935
289.764935
exponential_interest
1
sinusoid
0.5
16
240
9
0.07825
Calculate the compound interest: $200 invested at 7.825% annual rate for 5 years. FINAL:
291.492463
291.492463
exponential_interest
1
sinusoid
0.5
16
240
10
0.083031
Calculate the compound interest: $200 invested at 8.303108891% annual rate for 5 years. FINAL:
298.012591
298.012591
exponential_interest
1
sinusoid
0.5
16
240
11
0.08175
Calculate the compound interest: $200 invested at 8.175% annual rate for 5 years. FINAL:
296.254199
296.254199
exponential_interest
1
sinusoid
0.5
16
240
12
0.076969
Calculate the compound interest: $200 invested at 7.696891109% annual rate for 5 years. FINAL:
289.764935
289.764935
exponential_interest
1
sinusoid
0.5
16
240
13
0.07825
Calculate the compound interest: $200 invested at 7.825% annual rate for 5 years. FINAL:
291.492463
291.492463
exponential_interest
1
sinusoid
0.5
16
240
14
0.083031
Calculate the compound interest: $200 invested at 8.303108891% annual rate for 5 years. FINAL:
298.012591
298.012591
exponential_interest
1
sinusoid
0.5
16
240
15
0.08175
Calculate the compound interest: $200 invested at 8.175% annual rate for 5 years. FINAL:
296.254199
296.254199
exponential_interest
1
sinusoid
0.5
16
240
16
0.076969
Calculate the compound interest: $200 invested at 7.696891109% annual rate for 5 years. FINAL:
289.764935
289.764935
exponential_interest
1
sinusoid
0.5
16
240
17
0.07825
Calculate the compound interest: $200 invested at 7.825% annual rate for 5 years. FINAL:
291.492463
291.492463
exponential_interest
1
sinusoid
0.5
16
240
18
0.083031
Calculate the compound interest: $200 invested at 8.303108891% annual rate for 5 years. FINAL:
298.012591
298.012591
exponential_interest
1
sinusoid
0.5
16
240
19
0.08175
Calculate the compound interest: $200 invested at 8.175% annual rate for 5 years. FINAL:
296.254199
296.254199
exponential_interest
1
sinusoid
0.5
16
240
20
0.076969
Calculate the compound interest: $200 invested at 7.696891109% annual rate for 5 years. FINAL:
289.764935
289.764935
exponential_interest
1
sinusoid
0.5
16
240
21
0.07825
Calculate the compound interest: $200 invested at 7.825% annual rate for 5 years. FINAL:
291.492463
291.492463
exponential_interest
1
sinusoid
0.5
16
240
22
0.083031
Calculate the compound interest: $200 invested at 8.303108891% annual rate for 5 years. FINAL:
298.012591
298.012591
exponential_interest
1
sinusoid
0.5
16
240
23
0.08175
Calculate the compound interest: $200 invested at 8.175% annual rate for 5 years. FINAL:
296.254199
296.254199
exponential_interest
1
sinusoid
0.5
16
240
24
0.076969
Calculate the compound interest: $200 invested at 7.696891109% annual rate for 5 years. FINAL:
289.764935
289.764935
exponential_interest
1
sinusoid
0.5
16
240
25
0.07825
Calculate the compound interest: $200 invested at 7.825% annual rate for 5 years. FINAL:
291.492463
291.492463
exponential_interest
1
sinusoid
0.5
16
240
26
0.083031
Calculate the compound interest: $200 invested at 8.303108891% annual rate for 5 years. FINAL:
298.012591
298.012591
exponential_interest
1
sinusoid
0.5
16
240
27
0.08175
Calculate the compound interest: $200 invested at 8.175% annual rate for 5 years. FINAL:
296.254199
296.254199
exponential_interest
1
sinusoid
0.5
16
240
28
0.076969
Calculate the compound interest: $200 invested at 7.696891109% annual rate for 5 years. FINAL:
289.764935
289.764935
exponential_interest
1
sinusoid
0.5
16
240
29
0.07825
Calculate the compound interest: $200 invested at 7.825% annual rate for 5 years. FINAL:
291.492463
291.492463
exponential_interest
1
sinusoid
0.5
16
240
30
0.083031
Calculate the compound interest: $200 invested at 8.303108891% annual rate for 5 years. FINAL:
298.012591
298.012591
exponential_interest
1
sinusoid
0.5
16
240
31
0.08175
Calculate the compound interest: $200 invested at 8.175% annual rate for 5 years. FINAL:
296.254199
296.254199
exponential_interest
1
sinusoid
0.5
16
240
32
0.076969
Calculate the compound interest: $200 invested at 7.696891109% annual rate for 5 years. FINAL:
289.764935
289.764935
exponential_interest
1
sinusoid
0.5
16
240
33
0.07825
Calculate the compound interest: $200 invested at 7.825% annual rate for 5 years. FINAL:
291.492463
291.492463
exponential_interest
1
sinusoid
0.5
16
240
34
0.083031
Calculate the compound interest: $200 invested at 8.303108891% annual rate for 5 years. FINAL:
298.012591
298.012591
exponential_interest
1
sinusoid
0.5
16
240
35
0.08175
Calculate the compound interest: $200 invested at 8.175% annual rate for 5 years. FINAL:
296.254199
296.254199
exponential_interest
1
sinusoid
0.5
16
240
36
0.076969
Calculate the compound interest: $200 invested at 7.696891109% annual rate for 5 years. FINAL:
289.764935
289.764935
exponential_interest
1
sinusoid
0.5
16
240
37
0.07825
Calculate the compound interest: $200 invested at 7.825% annual rate for 5 years. FINAL:
291.492463
291.492463
exponential_interest
1
sinusoid
0.5
16
240
38
0.083031
Calculate the compound interest: $200 invested at 8.303108891% annual rate for 5 years. FINAL:
298.012591
298.012591
exponential_interest
1
sinusoid
0.5
16
240
39
0.08175
Calculate the compound interest: $200 invested at 8.175% annual rate for 5 years. FINAL:
296.254199
296.254199
exponential_interest
1
sinusoid
0.5
16
240
40
0.076969
Calculate the compound interest: $200 invested at 7.696891109% annual rate for 5 years. FINAL:
289.764935
289.764935
exponential_interest
1
sinusoid
0.5
16
240
41
0.07825
Calculate the compound interest: $200 invested at 7.825% annual rate for 5 years. FINAL:
291.492463
291.492463
exponential_interest
1
sinusoid
0.5
16
240
42
0.083031
Calculate the compound interest: $200 invested at 8.303108891% annual rate for 5 years. FINAL:
298.012591
298.012591
exponential_interest
1
sinusoid
0.5
16
240
43
0.08175
Calculate the compound interest: $200 invested at 8.175% annual rate for 5 years. FINAL:
296.254199
296.254199