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
2
0
16
0.08
Calculate the compound interest: $150 invested at 8% annual rate for 4 years. FINAL:
204.073344
204.073344
exponential_interest
2
sinusoid
0.5
2
0
17
0.079317
Calculate the compound interest: $150 invested at 7.931718387% annual rate for 4 years. FINAL:
203.557742
203.557742
exponential_interest
2
sinusoid
0.5
2
0
18
0.078661
Calculate the compound interest: $150 invested at 7.866060799% annual rate for 4 years. FINAL:
203.062877
203.062877
exponential_interest
2
sinusoid
0.5
2
0
19
0.078056
Calculate the compound interest: $150 invested at 7.805550418% annual rate for 4 years. FINAL:
202.607606
202.607606
exponential_interest
2
sinusoid
0.5
2
0
20
0.077525
Calculate the compound interest: $150 invested at 7.752512627% annual rate for 4 years. FINAL:
202.209187
202.209187
exponential_interest
2
sinusoid
0.5
2
0
21
0.07709
Calculate the compound interest: $150 invested at 7.708985636% annual rate for 4 years. FINAL:
201.882653
201.882653
exponential_interest
2
sinusoid
0.5
2
0
22
0.076766
Calculate the compound interest: $150 invested at 7.676642164% annual rate for 4 years. FINAL:
201.640272
201.640272
exponential_interest
2
sinusoid
0.5
2
0
23
0.076567
Calculate the compound interest: $150 invested at 7.656725152% annual rate for 4 years. FINAL:
201.491123
201.491123
exponential_interest
2
sinusoid
0.5
2
0
24
0.0765
Calculate the compound interest: $150 invested at 7.65% annual rate for 4 years. FINAL:
201.440781
201.440781
exponential_interest
2
sinusoid
0.5
2
0
25
0.076567
Calculate the compound interest: $150 invested at 7.656725152% annual rate for 4 years. FINAL:
201.491123
201.491123
exponential_interest
2
sinusoid
0.5
2
0
26
0.076766
Calculate the compound interest: $150 invested at 7.676642164% annual rate for 4 years. FINAL:
201.640272
201.640272
exponential_interest
2
sinusoid
0.5
2
0
27
0.07709
Calculate the compound interest: $150 invested at 7.708985636% annual rate for 4 years. FINAL:
201.882653
201.882653
exponential_interest
2
sinusoid
0.5
2
0
28
0.077525
Calculate the compound interest: $150 invested at 7.752512627% annual rate for 4 years. FINAL:
202.209187
202.209187
exponential_interest
2
sinusoid
0.5
2
0
29
0.078056
Calculate the compound interest: $150 invested at 7.805550418% annual rate for 4 years. FINAL:
202.607606
202.607606
exponential_interest
2
sinusoid
0.5
2
0
30
0.078661
Calculate the compound interest: $150 invested at 7.866060799% annual rate for 4 years. FINAL:
203.062877
203.062877
exponential_interest
2
sinusoid
0.5
2
0
31
0.079317
Calculate the compound interest: $150 invested at 7.931718387% annual rate for 4 years. FINAL:
203.557742
203.557742
exponential_interest
2
sinusoid
0.5
2
0
32
0.08
Calculate the compound interest: $150 invested at 8% annual rate for 4 years. FINAL:
204.073344
204.073344
exponential_interest
2
sinusoid
0.5
2
0
33
0.080683
Calculate the compound interest: $150 invested at 8.068281613% annual rate for 4 years. FINAL:
204.589925
204.589925
exponential_interest
2
sinusoid
0.5
2
0
34
0.081339
Calculate the compound interest: $150 invested at 8.133939201% annual rate for 4 years. FINAL:
205.087578
205.087578
exponential_interest
2
sinusoid
0.5
2
0
35
0.081944
Calculate the compound interest: $150 invested at 8.194449582% annual rate for 4 years. FINAL:
205.547021
205.547021
exponential_interest
2
sinusoid
0.5
2
0
36
0.082475
Calculate the compound interest: $150 invested at 8.247487373% annual rate for 4 years. FINAL:
205.95036
205.95036
exponential_interest
2
sinusoid
0.5
2
0
37
0.08291
Calculate the compound interest: $150 invested at 8.291014364% annual rate for 4 years. FINAL:
206.281816
206.281816
exponential_interest
2
sinusoid
0.5
2
0
38
0.083234
Calculate the compound interest: $150 invested at 8.323357836% annual rate for 4 years. FINAL:
206.528369
206.528369
exponential_interest
2
sinusoid
0.5
2
0
39
0.083433
Calculate the compound interest: $150 invested at 8.343274848% annual rate for 4 years. FINAL:
206.680305
206.680305
exponential_interest
2
sinusoid
0.5
2
0
40
0.0835
Calculate the compound interest: $150 invested at 8.35% annual rate for 4 years. FINAL:
206.731627
206.731627
exponential_interest
2
sinusoid
0.5
2
0
41
0.083433
Calculate the compound interest: $150 invested at 8.343274848% annual rate for 4 years. FINAL:
206.680305
206.680305
exponential_interest
2
sinusoid
0.5
2
0
42
0.083234
Calculate the compound interest: $150 invested at 8.323357836% annual rate for 4 years. FINAL:
206.528369
206.528369
exponential_interest
2
sinusoid
0.5
2
0
43
0.08291
Calculate the compound interest: $150 invested at 8.291014364% annual rate for 4 years. FINAL:
206.281816
206.281816
exponential_interest
2
sinusoid
0.5
2
0
44
0.082475
Calculate the compound interest: $150 invested at 8.247487373% annual rate for 4 years. FINAL:
205.95036
205.95036
exponential_interest
2
sinusoid
0.5
2
0
45
0.081944
Calculate the compound interest: $150 invested at 8.194449582% annual rate for 4 years. FINAL:
205.547021
205.547021
exponential_interest
2
sinusoid
0.5
2
0
46
0.081339
Calculate the compound interest: $150 invested at 8.133939201% annual rate for 4 years. FINAL:
205.087578
205.087578
exponential_interest
2
sinusoid
0.5
2
0
47
0.080683
Calculate the compound interest: $150 invested at 8.068281613% annual rate for 4 years. FINAL:
204.589925
204.589925
exponential_interest
2
sinusoid
0.5
2
0
48
0.08
Calculate the compound interest: $150 invested at 8% annual rate for 4 years. FINAL:
204.073344
204.073344
exponential_interest
2
sinusoid
0.5
2
0
49
0.079317
Calculate the compound interest: $150 invested at 7.931718387% annual rate for 4 years. FINAL:
203.557742
203.557742
exponential_interest
2
sinusoid
0.5
2
0
50
0.078661
Calculate the compound interest: $150 invested at 7.866060799% annual rate for 4 years. FINAL:
203.062877
203.062877
exponential_interest
2
sinusoid
0.5
2
0
51
0.078056
Calculate the compound interest: $150 invested at 7.805550418% annual rate for 4 years. FINAL:
202.607606
202.607606
exponential_interest
2
sinusoid
0.5
2
0
52
0.077525
Calculate the compound interest: $150 invested at 7.752512627% annual rate for 4 years. FINAL:
202.209187
202.209187
exponential_interest
2
sinusoid
0.5
2
0
53
0.07709
Calculate the compound interest: $150 invested at 7.708985636% annual rate for 4 years. FINAL:
201.882653
201.882653
exponential_interest
2
sinusoid
0.5
2
0
54
0.076766
Calculate the compound interest: $150 invested at 7.676642164% annual rate for 4 years. FINAL:
201.640272
201.640272
exponential_interest
2
sinusoid
0.5
2
0
55
0.076567
Calculate the compound interest: $150 invested at 7.656725152% annual rate for 4 years. FINAL:
201.491123
201.491123
exponential_interest
2
sinusoid
0.5
2
0
56
0.0765
Calculate the compound interest: $150 invested at 7.65% annual rate for 4 years. FINAL:
201.440781
201.440781
exponential_interest
2
sinusoid
0.5
2
0
57
0.076567
Calculate the compound interest: $150 invested at 7.656725152% annual rate for 4 years. FINAL:
201.491123
201.491123
exponential_interest
2
sinusoid
0.5
2
0
58
0.076766
Calculate the compound interest: $150 invested at 7.676642164% annual rate for 4 years. FINAL:
201.640272
201.640272
exponential_interest
2
sinusoid
0.5
2
0
59
0.07709
Calculate the compound interest: $150 invested at 7.708985636% annual rate for 4 years. FINAL:
201.882653
201.882653
exponential_interest
2
sinusoid
0.5
2
0
60
0.077525
Calculate the compound interest: $150 invested at 7.752512627% annual rate for 4 years. FINAL:
202.209187
202.209187
exponential_interest
2
sinusoid
0.5
2
0
61
0.078056
Calculate the compound interest: $150 invested at 7.805550418% annual rate for 4 years. FINAL:
202.607606
202.607606
exponential_interest
2
sinusoid
0.5
2
0
62
0.078661
Calculate the compound interest: $150 invested at 7.866060799% annual rate for 4 years. FINAL:
203.062877
203.062877
exponential_interest
2
sinusoid
0.5
2
0
63
0.079317
Calculate the compound interest: $150 invested at 7.931718387% annual rate for 4 years. FINAL:
203.557742
203.557742
exponential_interest
2
sinusoid
0.5
4
0
0
0.08
Calculate the compound interest: $150 invested at 8% annual rate for 4 years. FINAL:
204.073344
204.073344
exponential_interest
2
sinusoid
0.5
4
0
1
0.081339
Calculate the compound interest: $150 invested at 8.133939201% annual rate for 4 years. FINAL:
205.087578
205.087578
exponential_interest
2
sinusoid
0.5
4
0
2
0.082475
Calculate the compound interest: $150 invested at 8.247487373% annual rate for 4 years. FINAL:
205.95036
205.95036
exponential_interest
2
sinusoid
0.5
4
0
3
0.083234
Calculate the compound interest: $150 invested at 8.323357836% annual rate for 4 years. FINAL:
206.528369
206.528369
exponential_interest
2
sinusoid
0.5
4
0
4
0.0835
Calculate the compound interest: $150 invested at 8.35% annual rate for 4 years. FINAL:
206.731627
206.731627
exponential_interest
2
sinusoid
0.5
4
0
5
0.083234
Calculate the compound interest: $150 invested at 8.323357836% annual rate for 4 years. FINAL:
206.528369
206.528369
exponential_interest
2
sinusoid
0.5
4
0
6
0.082475
Calculate the compound interest: $150 invested at 8.247487373% annual rate for 4 years. FINAL:
205.95036
205.95036
exponential_interest
2
sinusoid
0.5
4
0
7
0.081339
Calculate the compound interest: $150 invested at 8.133939201% annual rate for 4 years. FINAL:
205.087578
205.087578
exponential_interest
2
sinusoid
0.5
4
0
8
0.08
Calculate the compound interest: $150 invested at 8% annual rate for 4 years. FINAL:
204.073344
204.073344
exponential_interest
2
sinusoid
0.5
4
0
9
0.078661
Calculate the compound interest: $150 invested at 7.866060799% annual rate for 4 years. FINAL:
203.062877
203.062877
exponential_interest
2
sinusoid
0.5
4
0
10
0.077525
Calculate the compound interest: $150 invested at 7.752512627% annual rate for 4 years. FINAL:
202.209187
202.209187
exponential_interest
2
sinusoid
0.5
4
0
11
0.076766
Calculate the compound interest: $150 invested at 7.676642164% annual rate for 4 years. FINAL:
201.640272
201.640272
exponential_interest
2
sinusoid
0.5
4
0
12
0.0765
Calculate the compound interest: $150 invested at 7.65% annual rate for 4 years. FINAL:
201.440781
201.440781
exponential_interest
2
sinusoid
0.5
4
0
13
0.076766
Calculate the compound interest: $150 invested at 7.676642164% annual rate for 4 years. FINAL:
201.640272
201.640272
exponential_interest
2
sinusoid
0.5
4
0
14
0.077525
Calculate the compound interest: $150 invested at 7.752512627% annual rate for 4 years. FINAL:
202.209187
202.209187
exponential_interest
2
sinusoid
0.5
4
0
15
0.078661
Calculate the compound interest: $150 invested at 7.866060799% annual rate for 4 years. FINAL:
203.062877
203.062877
exponential_interest
2
sinusoid
0.5
4
0
16
0.08
Calculate the compound interest: $150 invested at 8% annual rate for 4 years. FINAL:
204.073344
204.073344
exponential_interest
2
sinusoid
0.5
4
0
17
0.081339
Calculate the compound interest: $150 invested at 8.133939201% annual rate for 4 years. FINAL:
205.087578
205.087578
exponential_interest
2
sinusoid
0.5
4
0
18
0.082475
Calculate the compound interest: $150 invested at 8.247487373% annual rate for 4 years. FINAL:
205.95036
205.95036
exponential_interest
2
sinusoid
0.5
4
0
19
0.083234
Calculate the compound interest: $150 invested at 8.323357836% annual rate for 4 years. FINAL:
206.528369
206.528369
exponential_interest
2
sinusoid
0.5
4
0
20
0.0835
Calculate the compound interest: $150 invested at 8.35% annual rate for 4 years. FINAL:
206.731627
206.731627
exponential_interest
2
sinusoid
0.5
4
0
21
0.083234
Calculate the compound interest: $150 invested at 8.323357836% annual rate for 4 years. FINAL:
206.528369
206.528369
exponential_interest
2
sinusoid
0.5
4
0
22
0.082475
Calculate the compound interest: $150 invested at 8.247487373% annual rate for 4 years. FINAL:
205.95036
205.95036
exponential_interest
2
sinusoid
0.5
4
0
23
0.081339
Calculate the compound interest: $150 invested at 8.133939201% annual rate for 4 years. FINAL:
205.087578
205.087578
exponential_interest
2
sinusoid
0.5
4
0
24
0.08
Calculate the compound interest: $150 invested at 8% annual rate for 4 years. FINAL:
204.073344
204.073344
exponential_interest
2
sinusoid
0.5
4
0
25
0.078661
Calculate the compound interest: $150 invested at 7.866060799% annual rate for 4 years. FINAL:
203.062877
203.062877
exponential_interest
2
sinusoid
0.5
4
0
26
0.077525
Calculate the compound interest: $150 invested at 7.752512627% annual rate for 4 years. FINAL:
202.209187
202.209187
exponential_interest
2
sinusoid
0.5
4
0
27
0.076766
Calculate the compound interest: $150 invested at 7.676642164% annual rate for 4 years. FINAL:
201.640272
201.640272
exponential_interest
2
sinusoid
0.5
4
0
28
0.0765
Calculate the compound interest: $150 invested at 7.65% annual rate for 4 years. FINAL:
201.440781
201.440781
exponential_interest
2
sinusoid
0.5
4
0
29
0.076766
Calculate the compound interest: $150 invested at 7.676642164% annual rate for 4 years. FINAL:
201.640272
201.640272
exponential_interest
2
sinusoid
0.5
4
0
30
0.077525
Calculate the compound interest: $150 invested at 7.752512627% annual rate for 4 years. FINAL:
202.209187
202.209187
exponential_interest
2
sinusoid
0.5
4
0
31
0.078661
Calculate the compound interest: $150 invested at 7.866060799% annual rate for 4 years. FINAL:
203.062877
203.062877
exponential_interest
2
sinusoid
0.5
4
0
32
0.08
Calculate the compound interest: $150 invested at 8% annual rate for 4 years. FINAL:
204.073344
204.073344
exponential_interest
2
sinusoid
0.5
4
0
33
0.081339
Calculate the compound interest: $150 invested at 8.133939201% annual rate for 4 years. FINAL:
205.087578
205.087578
exponential_interest
2
sinusoid
0.5
4
0
34
0.082475
Calculate the compound interest: $150 invested at 8.247487373% annual rate for 4 years. FINAL:
205.95036
205.95036
exponential_interest
2
sinusoid
0.5
4
0
35
0.083234
Calculate the compound interest: $150 invested at 8.323357836% annual rate for 4 years. FINAL:
206.528369
206.528369
exponential_interest
2
sinusoid
0.5
4
0
36
0.0835
Calculate the compound interest: $150 invested at 8.35% annual rate for 4 years. FINAL:
206.731627
206.731627
exponential_interest
2
sinusoid
0.5
4
0
37
0.083234
Calculate the compound interest: $150 invested at 8.323357836% annual rate for 4 years. FINAL:
206.528369
206.528369
exponential_interest
2
sinusoid
0.5
4
0
38
0.082475
Calculate the compound interest: $150 invested at 8.247487373% annual rate for 4 years. FINAL:
205.95036
205.95036
exponential_interest
2
sinusoid
0.5
4
0
39
0.081339
Calculate the compound interest: $150 invested at 8.133939201% annual rate for 4 years. FINAL:
205.087578
205.087578
exponential_interest
2
sinusoid
0.5
4
0
40
0.08
Calculate the compound interest: $150 invested at 8% annual rate for 4 years. FINAL:
204.073344
204.073344
exponential_interest
2
sinusoid
0.5
4
0
41
0.078661
Calculate the compound interest: $150 invested at 7.866060799% annual rate for 4 years. FINAL:
203.062877
203.062877
exponential_interest
2
sinusoid
0.5
4
0
42
0.077525
Calculate the compound interest: $150 invested at 7.752512627% annual rate for 4 years. FINAL:
202.209187
202.209187
exponential_interest
2
sinusoid
0.5
4
0
43
0.076766
Calculate the compound interest: $150 invested at 7.676642164% annual rate for 4 years. FINAL:
201.640272
201.640272
exponential_interest
2
sinusoid
0.5
4
0
44
0.0765
Calculate the compound interest: $150 invested at 7.65% annual rate for 4 years. FINAL:
201.440781
201.440781
exponential_interest
2
sinusoid
0.5
4
0
45
0.076766
Calculate the compound interest: $150 invested at 7.676642164% annual rate for 4 years. FINAL:
201.640272
201.640272
exponential_interest
2
sinusoid
0.5
4
0
46
0.077525
Calculate the compound interest: $150 invested at 7.752512627% annual rate for 4 years. FINAL:
202.209187
202.209187
exponential_interest
2
sinusoid
0.5
4
0
47
0.078661
Calculate the compound interest: $150 invested at 7.866060799% annual rate for 4 years. FINAL:
203.062877
203.062877
exponential_interest
2
sinusoid
0.5
4
0
48
0.08
Calculate the compound interest: $150 invested at 8% annual rate for 4 years. FINAL:
204.073344
204.073344
exponential_interest
2
sinusoid
0.5
4
0
49
0.081339
Calculate the compound interest: $150 invested at 8.133939201% annual rate for 4 years. FINAL:
205.087578
205.087578
exponential_interest
2
sinusoid
0.5
4
0
50
0.082475
Calculate the compound interest: $150 invested at 8.247487373% annual rate for 4 years. FINAL:
205.95036
205.95036
exponential_interest
2
sinusoid
0.5
4
0
51
0.083234
Calculate the compound interest: $150 invested at 8.323357836% annual rate for 4 years. FINAL:
206.528369
206.528369