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
2
sinusoid
0.5
8
240
48
0.076969
Calculate the compound interest: $150 invested at 7.696891109% annual rate for 4 years. FINAL:
201.791991
201.791991
exponential_interest
2
sinusoid
0.5
8
240
49
0.076619
Calculate the compound interest: $150 invested at 7.661925961% annual rate for 4 years. FINAL:
201.530062
201.530062
exponential_interest
2
sinusoid
0.5
8
240
50
0.07825
Calculate the compound interest: $150 invested at 7.825% annual rate for 4 years. FINAL:
202.753858
202.753858
exponential_interest
2
sinusoid
0.5
8
240
51
0.080906
Calculate the compound interest: $150 invested at 8.090586666% annual rate for 4 years. FINAL:
204.758885
204.758885
exponential_interest
2
sinusoid
0.5
8
240
52
0.083031
Calculate the compound interest: $150 invested at 8.303108891% annual rate for 4 years. FINAL:
206.373986
206.373986
exponential_interest
2
sinusoid
0.5
8
240
53
0.083381
Calculate the compound interest: $150 invested at 8.338074039% annual rate for 4 years. FINAL:
206.640623
206.640623
exponential_interest
2
sinusoid
0.5
8
240
54
0.08175
Calculate the compound interest: $150 invested at 8.175% annual rate for 4 years. FINAL:
205.39926
205.39926
exponential_interest
2
sinusoid
0.5
8
240
55
0.079094
Calculate the compound interest: $150 invested at 7.909413334% annual rate for 4 years. FINAL:
203.389526
203.389526
exponential_interest
2
sinusoid
0.5
8
240
56
0.076969
Calculate the compound interest: $150 invested at 7.696891109% annual rate for 4 years. FINAL:
201.791991
201.791991
exponential_interest
2
sinusoid
0.5
8
240
57
0.076619
Calculate the compound interest: $150 invested at 7.661925961% annual rate for 4 years. FINAL:
201.530062
201.530062
exponential_interest
2
sinusoid
0.5
8
240
58
0.07825
Calculate the compound interest: $150 invested at 7.825% annual rate for 4 years. FINAL:
202.753858
202.753858
exponential_interest
2
sinusoid
0.5
8
240
59
0.080906
Calculate the compound interest: $150 invested at 8.090586666% annual rate for 4 years. FINAL:
204.758885
204.758885
exponential_interest
2
sinusoid
0.5
8
240
60
0.083031
Calculate the compound interest: $150 invested at 8.303108891% annual rate for 4 years. FINAL:
206.373986
206.373986
exponential_interest
2
sinusoid
0.5
8
240
61
0.083381
Calculate the compound interest: $150 invested at 8.338074039% annual rate for 4 years. FINAL:
206.640623
206.640623
exponential_interest
2
sinusoid
0.5
8
240
62
0.08175
Calculate the compound interest: $150 invested at 8.175% annual rate for 4 years. FINAL:
205.39926
205.39926
exponential_interest
2
sinusoid
0.5
8
240
63
0.079094
Calculate the compound interest: $150 invested at 7.909413334% annual rate for 4 years. FINAL:
203.389526
203.389526
exponential_interest
2
sinusoid
0.5
16
240
0
0.076969
Calculate the compound interest: $150 invested at 7.696891109% annual rate for 4 years. FINAL:
201.791991
201.791991
exponential_interest
2
sinusoid
0.5
16
240
1
0.07825
Calculate the compound interest: $150 invested at 7.825% annual rate for 4 years. FINAL:
202.753858
202.753858
exponential_interest
2
sinusoid
0.5
16
240
2
0.083031
Calculate the compound interest: $150 invested at 8.303108891% annual rate for 4 years. FINAL:
206.373986
206.373986
exponential_interest
2
sinusoid
0.5
16
240
3
0.08175
Calculate the compound interest: $150 invested at 8.175% annual rate for 4 years. FINAL:
205.39926
205.39926
exponential_interest
2
sinusoid
0.5
16
240
4
0.076969
Calculate the compound interest: $150 invested at 7.696891109% annual rate for 4 years. FINAL:
201.791991
201.791991
exponential_interest
2
sinusoid
0.5
16
240
5
0.07825
Calculate the compound interest: $150 invested at 7.825% annual rate for 4 years. FINAL:
202.753858
202.753858
exponential_interest
2
sinusoid
0.5
16
240
6
0.083031
Calculate the compound interest: $150 invested at 8.303108891% annual rate for 4 years. FINAL:
206.373986
206.373986
exponential_interest
2
sinusoid
0.5
16
240
7
0.08175
Calculate the compound interest: $150 invested at 8.175% annual rate for 4 years. FINAL:
205.39926
205.39926
exponential_interest
2
sinusoid
0.5
16
240
8
0.076969
Calculate the compound interest: $150 invested at 7.696891109% annual rate for 4 years. FINAL:
201.791991
201.791991
exponential_interest
2
sinusoid
0.5
16
240
9
0.07825
Calculate the compound interest: $150 invested at 7.825% annual rate for 4 years. FINAL:
202.753858
202.753858
exponential_interest
2
sinusoid
0.5
16
240
10
0.083031
Calculate the compound interest: $150 invested at 8.303108891% annual rate for 4 years. FINAL:
206.373986
206.373986
exponential_interest
2
sinusoid
0.5
16
240
11
0.08175
Calculate the compound interest: $150 invested at 8.175% annual rate for 4 years. FINAL:
205.39926
205.39926
exponential_interest
2
sinusoid
0.5
16
240
12
0.076969
Calculate the compound interest: $150 invested at 7.696891109% annual rate for 4 years. FINAL:
201.791991
201.791991
exponential_interest
2
sinusoid
0.5
16
240
13
0.07825
Calculate the compound interest: $150 invested at 7.825% annual rate for 4 years. FINAL:
202.753858
202.753858
exponential_interest
2
sinusoid
0.5
16
240
14
0.083031
Calculate the compound interest: $150 invested at 8.303108891% annual rate for 4 years. FINAL:
206.373986
206.373986
exponential_interest
2
sinusoid
0.5
16
240
15
0.08175
Calculate the compound interest: $150 invested at 8.175% annual rate for 4 years. FINAL:
205.39926
205.39926
exponential_interest
2
sinusoid
0.5
16
240
16
0.076969
Calculate the compound interest: $150 invested at 7.696891109% annual rate for 4 years. FINAL:
201.791991
201.791991
exponential_interest
2
sinusoid
0.5
16
240
17
0.07825
Calculate the compound interest: $150 invested at 7.825% annual rate for 4 years. FINAL:
202.753858
202.753858
exponential_interest
2
sinusoid
0.5
16
240
18
0.083031
Calculate the compound interest: $150 invested at 8.303108891% annual rate for 4 years. FINAL:
206.373986
206.373986
exponential_interest
2
sinusoid
0.5
16
240
19
0.08175
Calculate the compound interest: $150 invested at 8.175% annual rate for 4 years. FINAL:
205.39926
205.39926
exponential_interest
2
sinusoid
0.5
16
240
20
0.076969
Calculate the compound interest: $150 invested at 7.696891109% annual rate for 4 years. FINAL:
201.791991
201.791991
exponential_interest
2
sinusoid
0.5
16
240
21
0.07825
Calculate the compound interest: $150 invested at 7.825% annual rate for 4 years. FINAL:
202.753858
202.753858
exponential_interest
2
sinusoid
0.5
16
240
22
0.083031
Calculate the compound interest: $150 invested at 8.303108891% annual rate for 4 years. FINAL:
206.373986
206.373986
exponential_interest
2
sinusoid
0.5
16
240
23
0.08175
Calculate the compound interest: $150 invested at 8.175% annual rate for 4 years. FINAL:
205.39926
205.39926
exponential_interest
2
sinusoid
0.5
16
240
24
0.076969
Calculate the compound interest: $150 invested at 7.696891109% annual rate for 4 years. FINAL:
201.791991
201.791991
exponential_interest
2
sinusoid
0.5
16
240
25
0.07825
Calculate the compound interest: $150 invested at 7.825% annual rate for 4 years. FINAL:
202.753858
202.753858
exponential_interest
2
sinusoid
0.5
16
240
26
0.083031
Calculate the compound interest: $150 invested at 8.303108891% annual rate for 4 years. FINAL:
206.373986
206.373986
exponential_interest
2
sinusoid
0.5
16
240
27
0.08175
Calculate the compound interest: $150 invested at 8.175% annual rate for 4 years. FINAL:
205.39926
205.39926
exponential_interest
2
sinusoid
0.5
16
240
28
0.076969
Calculate the compound interest: $150 invested at 7.696891109% annual rate for 4 years. FINAL:
201.791991
201.791991
exponential_interest
2
sinusoid
0.5
16
240
29
0.07825
Calculate the compound interest: $150 invested at 7.825% annual rate for 4 years. FINAL:
202.753858
202.753858
exponential_interest
2
sinusoid
0.5
16
240
30
0.083031
Calculate the compound interest: $150 invested at 8.303108891% annual rate for 4 years. FINAL:
206.373986
206.373986
exponential_interest
2
sinusoid
0.5
16
240
31
0.08175
Calculate the compound interest: $150 invested at 8.175% annual rate for 4 years. FINAL:
205.39926
205.39926
exponential_interest
2
sinusoid
0.5
16
240
32
0.076969
Calculate the compound interest: $150 invested at 7.696891109% annual rate for 4 years. FINAL:
201.791991
201.791991
exponential_interest
2
sinusoid
0.5
16
240
33
0.07825
Calculate the compound interest: $150 invested at 7.825% annual rate for 4 years. FINAL:
202.753858
202.753858
exponential_interest
2
sinusoid
0.5
16
240
34
0.083031
Calculate the compound interest: $150 invested at 8.303108891% annual rate for 4 years. FINAL:
206.373986
206.373986
exponential_interest
2
sinusoid
0.5
16
240
35
0.08175
Calculate the compound interest: $150 invested at 8.175% annual rate for 4 years. FINAL:
205.39926
205.39926
exponential_interest
2
sinusoid
0.5
16
240
36
0.076969
Calculate the compound interest: $150 invested at 7.696891109% annual rate for 4 years. FINAL:
201.791991
201.791991
exponential_interest
2
sinusoid
0.5
16
240
37
0.07825
Calculate the compound interest: $150 invested at 7.825% annual rate for 4 years. FINAL:
202.753858
202.753858
exponential_interest
2
sinusoid
0.5
16
240
38
0.083031
Calculate the compound interest: $150 invested at 8.303108891% annual rate for 4 years. FINAL:
206.373986
206.373986
exponential_interest
2
sinusoid
0.5
16
240
39
0.08175
Calculate the compound interest: $150 invested at 8.175% annual rate for 4 years. FINAL:
205.39926
205.39926
exponential_interest
2
sinusoid
0.5
16
240
40
0.076969
Calculate the compound interest: $150 invested at 7.696891109% annual rate for 4 years. FINAL:
201.791991
201.791991
exponential_interest
2
sinusoid
0.5
16
240
41
0.07825
Calculate the compound interest: $150 invested at 7.825% annual rate for 4 years. FINAL:
202.753858
202.753858
exponential_interest
2
sinusoid
0.5
16
240
42
0.083031
Calculate the compound interest: $150 invested at 8.303108891% annual rate for 4 years. FINAL:
206.373986
206.373986
exponential_interest
2
sinusoid
0.5
16
240
43
0.08175
Calculate the compound interest: $150 invested at 8.175% annual rate for 4 years. FINAL:
205.39926
205.39926
exponential_interest
2
sinusoid
0.5
16
240
44
0.076969
Calculate the compound interest: $150 invested at 7.696891109% annual rate for 4 years. FINAL:
201.791991
201.791991
exponential_interest
2
sinusoid
0.5
16
240
45
0.07825
Calculate the compound interest: $150 invested at 7.825% annual rate for 4 years. FINAL:
202.753858
202.753858
exponential_interest
2
sinusoid
0.5
16
240
46
0.083031
Calculate the compound interest: $150 invested at 8.303108891% annual rate for 4 years. FINAL:
206.373986
206.373986
exponential_interest
2
sinusoid
0.5
16
240
47
0.08175
Calculate the compound interest: $150 invested at 8.175% annual rate for 4 years. FINAL:
205.39926
205.39926
exponential_interest
2
sinusoid
0.5
16
240
48
0.076969
Calculate the compound interest: $150 invested at 7.696891109% annual rate for 4 years. FINAL:
201.791991
201.791991
exponential_interest
2
sinusoid
0.5
16
240
49
0.07825
Calculate the compound interest: $150 invested at 7.825% annual rate for 4 years. FINAL:
202.753858
202.753858
exponential_interest
2
sinusoid
0.5
16
240
50
0.083031
Calculate the compound interest: $150 invested at 8.303108891% annual rate for 4 years. FINAL:
206.373986
206.373986
exponential_interest
2
sinusoid
0.5
16
240
51
0.08175
Calculate the compound interest: $150 invested at 8.175% annual rate for 4 years. FINAL:
205.39926
205.39926
exponential_interest
2
sinusoid
0.5
16
240
52
0.076969
Calculate the compound interest: $150 invested at 7.696891109% annual rate for 4 years. FINAL:
201.791991
201.791991
exponential_interest
2
sinusoid
0.5
16
240
53
0.07825
Calculate the compound interest: $150 invested at 7.825% annual rate for 4 years. FINAL:
202.753858
202.753858
exponential_interest
2
sinusoid
0.5
16
240
54
0.083031
Calculate the compound interest: $150 invested at 8.303108891% annual rate for 4 years. FINAL:
206.373986
206.373986
exponential_interest
2
sinusoid
0.5
16
240
55
0.08175
Calculate the compound interest: $150 invested at 8.175% annual rate for 4 years. FINAL:
205.39926
205.39926
exponential_interest
2
sinusoid
0.5
16
240
56
0.076969
Calculate the compound interest: $150 invested at 7.696891109% annual rate for 4 years. FINAL:
201.791991
201.791991
exponential_interest
2
sinusoid
0.5
16
240
57
0.07825
Calculate the compound interest: $150 invested at 7.825% annual rate for 4 years. FINAL:
202.753858
202.753858
exponential_interest
2
sinusoid
0.5
16
240
58
0.083031
Calculate the compound interest: $150 invested at 8.303108891% annual rate for 4 years. FINAL:
206.373986
206.373986
exponential_interest
2
sinusoid
0.5
16
240
59
0.08175
Calculate the compound interest: $150 invested at 8.175% annual rate for 4 years. FINAL:
205.39926
205.39926
exponential_interest
2
sinusoid
0.5
16
240
60
0.076969
Calculate the compound interest: $150 invested at 7.696891109% annual rate for 4 years. FINAL:
201.791991
201.791991
exponential_interest
2
sinusoid
0.5
16
240
61
0.07825
Calculate the compound interest: $150 invested at 7.825% annual rate for 4 years. FINAL:
202.753858
202.753858
exponential_interest
2
sinusoid
0.5
16
240
62
0.083031
Calculate the compound interest: $150 invested at 8.303108891% annual rate for 4 years. FINAL:
206.373986
206.373986
exponential_interest
2
sinusoid
0.5
16
240
63
0.08175
Calculate the compound interest: $150 invested at 8.175% annual rate for 4 years. FINAL:
205.39926
205.39926
exponential_interest
0
sinusoid
1
1
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
1
0
1
0.080686
Calculate the compound interest: $100 invested at 8.068611998% annual rate for 6 years. FINAL:
159.293275
159.293275
exponential_interest
0
sinusoid
1
1
0
2
0.081366
Calculate the compound interest: $100 invested at 8.136563225% annual rate for 6 years. FINAL:
159.895182
159.895182
exponential_interest
0
sinusoid
1
1
0
3
0.082032
Calculate the compound interest: $100 invested at 8.203199274% annual rate for 6 years. FINAL:
160.487278
160.487278
exponential_interest
0
sinusoid
1
1
0
4
0.082679
Calculate the compound interest: $100 invested at 8.267878403% annual rate for 6 years. FINAL:
161.063732
161.063732
exponential_interest
0
sinusoid
1
1
0
5
0.0833
Calculate the compound interest: $100 invested at 8.329977716% annual rate for 6 years. FINAL:
161.618817
161.618817
exponential_interest
0
sinusoid
1
1
0
6
0.083889
Calculate the compound interest: $100 invested at 8.388899163% annual rate for 6 years. FINAL:
162.146968
162.146968
exponential_interest
0
sinusoid
1
1
0
7
0.084441
Calculate the compound interest: $100 invested at 8.444075299% annual rate for 6 years. FINAL:
162.642851
162.642851
exponential_interest
0
sinusoid
1
1
0
8
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
1
0
9
0.085411
Calculate the compound interest: $100 invested at 8.541107317% annual rate for 6 years. FINAL:
163.51797
163.51797
exponential_interest
0
sinusoid
1
1
0
10
0.08582
Calculate the compound interest: $100 invested at 8.582028729% annual rate for 6 years. FINAL:
163.888209
163.888209
exponential_interest
0
sinusoid
1
1
0
11
0.086173
Calculate the compound interest: $100 invested at 8.617344885% annual rate for 6 years. FINAL:
164.208296
164.208296
exponential_interest
0
sinusoid
1
1
0
12
0.086467
Calculate the compound interest: $100 invested at 8.646715673% annual rate for 6 years. FINAL:
164.474894
164.474894
exponential_interest
0
sinusoid
1
1
0
13
0.086699
Calculate the compound interest: $100 invested at 8.669858235% annual rate for 6 years. FINAL:
164.685212
164.685212
exponential_interest
0
sinusoid
1
1
0
14
0.086865
Calculate the compound interest: $100 invested at 8.686549696% annual rate for 6 years. FINAL:
164.837042
164.837042
exponential_interest
0
sinusoid
1
1
0
15
0.086966
Calculate the compound interest: $100 invested at 8.696629309% annual rate for 6 years. FINAL:
164.928785
164.928785
exponential_interest
0
sinusoid
1
1
0
16
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
1
0
17
0.086966
Calculate the compound interest: $100 invested at 8.696629309% annual rate for 6 years. FINAL:
164.928785
164.928785
exponential_interest
0
sinusoid
1
1
0
18
0.086865
Calculate the compound interest: $100 invested at 8.686549696% annual rate for 6 years. FINAL:
164.837042
164.837042
exponential_interest
0
sinusoid
1
1
0
19
0.086699
Calculate the compound interest: $100 invested at 8.669858235% annual rate for 6 years. FINAL:
164.685212
164.685212