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
120
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
8
120
29
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
120
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
120
31
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
120
32
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
120
33
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
120
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
120
35
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
120
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
8
120
37
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
120
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
120
39
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
120
40
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
120
41
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
120
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
120
43
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
120
44
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
120
45
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
120
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
120
47
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
120
48
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
120
49
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
120
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
120
51
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
120
52
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
120
53
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
120
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
120
55
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
120
56
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
120
57
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
120
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
120
59
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
120
60
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
120
61
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
120
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
120
63
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
16
120
0
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
120
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
120
2
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
120
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
120
4
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
120
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
120
6
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
120
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
120
8
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
120
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
120
10
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
120
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
120
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
16
120
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
120
14
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
120
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
120
16
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
120
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
120
18
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
120
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
120
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
16
120
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
120
22
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
120
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
120
24
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
120
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
120
26
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
120
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
120
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
16
120
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
120
30
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
120
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
120
32
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
120
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
120
34
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
120
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
120
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
16
120
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
120
38
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
120
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
120
40
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
120
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
120
42
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
120
43
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
120
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
16
120
45
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
120
46
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
120
47
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
120
48
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
120
49
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
120
50
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
120
51
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
120
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
16
120
53
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
120
54
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
120
55
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
120
56
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
120
57
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
120
58
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
120
59
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
120
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
16
120
61
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
120
62
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
120
63
0.08175
Calculate the compound interest: $200 invested at 8.175% annual rate for 5 years. FINAL:
296.254199
296.254199