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
0.5
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
0.5
1
0
1
0.080343
Calculate the compound interest: $100 invested at 8.034305999% annual rate for 6 years. FINAL:
158.990113
158.990113
exponential_interest
0
sinusoid
0.5
1
0
2
0.080683
Calculate the compound interest: $100 invested at 8.068281613% annual rate for 6 years. FINAL:
159.290353
159.290353
exponential_interest
0
sinusoid
0.5
1
0
3
0.081016
Calculate the compound interest: $100 invested at 8.101599637% annual rate for 6 years. FINAL:
159.585241
159.585241
exponential_interest
0
sinusoid
0.5
1
0
4
0.081339
Calculate the compound interest: $100 invested at 8.133939201% annual rate for 6 years. FINAL:
159.871903
159.871903
exponential_interest
0
sinusoid
0.5
1
0
5
0.08165
Calculate the compound interest: $100 invested at 8.164988858% annual rate for 6 years. FINAL:
160.147535
160.147535
exponential_interest
0
sinusoid
0.5
1
0
6
0.081944
Calculate the compound interest: $100 invested at 8.194449582% annual rate for 6 years. FINAL:
160.409428
160.409428
exponential_interest
0
sinusoid
0.5
1
0
7
0.08222
Calculate the compound interest: $100 invested at 8.222037649% annual rate for 6 years. FINAL:
160.654998
160.654998
exponential_interest
0
sinusoid
0.5
1
0
8
0.082475
Calculate the compound interest: $100 invested at 8.247487373% annual rate for 6 years. FINAL:
160.881811
160.881811
exponential_interest
0
sinusoid
0.5
1
0
9
0.082706
Calculate the compound interest: $100 invested at 8.270553659% annual rate for 6 years. FINAL:
161.087613
161.087613
exponential_interest
0
sinusoid
0.5
1
0
10
0.08291
Calculate the compound interest: $100 invested at 8.291014364% annual rate for 6 years. FINAL:
161.270351
161.270351
exponential_interest
0
sinusoid
0.5
1
0
11
0.083087
Calculate the compound interest: $100 invested at 8.308672443% annual rate for 6 years. FINAL:
161.428197
161.428197
exponential_interest
0
sinusoid
0.5
1
0
12
0.083234
Calculate the compound interest: $100 invested at 8.323357836% annual rate for 6 years. FINAL:
161.559568
161.559568
exponential_interest
0
sinusoid
0.5
1
0
13
0.083349
Calculate the compound interest: $100 invested at 8.334929118% annual rate for 6 years. FINAL:
161.663144
161.663144
exponential_interest
0
sinusoid
0.5
1
0
14
0.083433
Calculate the compound interest: $100 invested at 8.343274848% annual rate for 6 years. FINAL:
161.737882
161.737882
exponential_interest
0
sinusoid
0.5
1
0
15
0.083483
Calculate the compound interest: $100 invested at 8.348314654% annual rate for 6 years. FINAL:
161.783029
161.783029
exponential_interest
0
sinusoid
0.5
1
0
16
0.0835
Calculate the compound interest: $100 invested at 8.35% annual rate for 6 years. FINAL:
161.798129
161.798129
exponential_interest
0
sinusoid
0.5
1
0
17
0.083483
Calculate the compound interest: $100 invested at 8.348314654% annual rate for 6 years. FINAL:
161.783029
161.783029
exponential_interest
0
sinusoid
0.5
1
0
18
0.083433
Calculate the compound interest: $100 invested at 8.343274848% annual rate for 6 years. FINAL:
161.737882
161.737882
exponential_interest
0
sinusoid
0.5
1
0
19
0.083349
Calculate the compound interest: $100 invested at 8.334929118% annual rate for 6 years. FINAL:
161.663144
161.663144
exponential_interest
0
sinusoid
0.5
1
0
20
0.083234
Calculate the compound interest: $100 invested at 8.323357836% annual rate for 6 years. FINAL:
161.559568
161.559568
exponential_interest
0
sinusoid
0.5
1
0
21
0.083087
Calculate the compound interest: $100 invested at 8.308672443% annual rate for 6 years. FINAL:
161.428197
161.428197
exponential_interest
0
sinusoid
0.5
1
0
22
0.08291
Calculate the compound interest: $100 invested at 8.291014364% annual rate for 6 years. FINAL:
161.270351
161.270351
exponential_interest
0
sinusoid
0.5
1
0
23
0.082706
Calculate the compound interest: $100 invested at 8.270553659% annual rate for 6 years. FINAL:
161.087613
161.087613
exponential_interest
0
sinusoid
0.5
1
0
24
0.082475
Calculate the compound interest: $100 invested at 8.247487373% annual rate for 6 years. FINAL:
160.881811
160.881811
exponential_interest
0
sinusoid
0.5
1
0
25
0.08222
Calculate the compound interest: $100 invested at 8.222037649% annual rate for 6 years. FINAL:
160.654998
160.654998
exponential_interest
0
sinusoid
0.5
1
0
26
0.081944
Calculate the compound interest: $100 invested at 8.194449582% annual rate for 6 years. FINAL:
160.409428
160.409428
exponential_interest
0
sinusoid
0.5
1
0
27
0.08165
Calculate the compound interest: $100 invested at 8.164988858% annual rate for 6 years. FINAL:
160.147535
160.147535
exponential_interest
0
sinusoid
0.5
1
0
28
0.081339
Calculate the compound interest: $100 invested at 8.133939201% annual rate for 6 years. FINAL:
159.871903
159.871903
exponential_interest
0
sinusoid
0.5
1
0
29
0.081016
Calculate the compound interest: $100 invested at 8.101599637% annual rate for 6 years. FINAL:
159.585241
159.585241
exponential_interest
0
sinusoid
0.5
1
0
30
0.080683
Calculate the compound interest: $100 invested at 8.068281613% annual rate for 6 years. FINAL:
159.290353
159.290353
exponential_interest
0
sinusoid
0.5
1
0
31
0.080343
Calculate the compound interest: $100 invested at 8.034305999% annual rate for 6 years. FINAL:
158.990113
158.990113
exponential_interest
0
sinusoid
0.5
1
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
0.5
1
0
33
0.079657
Calculate the compound interest: $100 invested at 7.965694001% annual rate for 6 years. FINAL:
158.385232
158.385232
exponential_interest
0
sinusoid
0.5
1
0
34
0.079317
Calculate the compound interest: $100 invested at 7.931718387% annual rate for 6 years. FINAL:
158.086414
158.086414
exponential_interest
0
sinusoid
0.5
1
0
35
0.078984
Calculate the compound interest: $100 invested at 7.898400363% annual rate for 6 years. FINAL:
157.793837
157.793837
exponential_interest
0
sinusoid
0.5
1
0
36
0.078661
Calculate the compound interest: $100 invested at 7.866060799% annual rate for 6 years. FINAL:
157.510283
157.510283
exponential_interest
0
sinusoid
0.5
1
0
37
0.07835
Calculate the compound interest: $100 invested at 7.835011142% annual rate for 6 years. FINAL:
157.23844
157.23844
exponential_interest
0
sinusoid
0.5
1
0
38
0.078056
Calculate the compound interest: $100 invested at 7.805550418% annual rate for 6 years. FINAL:
156.980869
156.980869
exponential_interest
0
sinusoid
0.5
1
0
39
0.07778
Calculate the compound interest: $100 invested at 7.777962351% annual rate for 6 years. FINAL:
156.739989
156.739989
exponential_interest
0
sinusoid
0.5
1
0
40
0.077525
Calculate the compound interest: $100 invested at 7.752512627% annual rate for 6 years. FINAL:
156.518053
156.518053
exponential_interest
0
sinusoid
0.5
1
0
41
0.077294
Calculate the compound interest: $100 invested at 7.729446341% annual rate for 6 years. FINAL:
156.317128
156.317128
exponential_interest
0
sinusoid
0.5
1
0
42
0.07709
Calculate the compound interest: $100 invested at 7.708985636% annual rate for 6 years. FINAL:
156.13908
156.13908
exponential_interest
0
sinusoid
0.5
1
0
43
0.076913
Calculate the compound interest: $100 invested at 7.691327557% annual rate for 6 years. FINAL:
155.985556
155.985556
exponential_interest
0
sinusoid
0.5
1
0
44
0.076766
Calculate the compound interest: $100 invested at 7.676642164% annual rate for 6 years. FINAL:
155.857973
155.857973
exponential_interest
0
sinusoid
0.5
1
0
45
0.076651
Calculate the compound interest: $100 invested at 7.665070882% annual rate for 6 years. FINAL:
155.757506
155.757506
exponential_interest
0
sinusoid
0.5
1
0
46
0.076567
Calculate the compound interest: $100 invested at 7.656725152% annual rate for 6 years. FINAL:
155.685078
155.685078
exponential_interest
0
sinusoid
0.5
1
0
47
0.076517
Calculate the compound interest: $100 invested at 7.651685346% annual rate for 6 years. FINAL:
155.641354
155.641354
exponential_interest
0
sinusoid
0.5
1
0
48
0.0765
Calculate the compound interest: $100 invested at 7.65% annual rate for 6 years. FINAL:
155.626735
155.626735
exponential_interest
0
sinusoid
0.5
1
0
49
0.076517
Calculate the compound interest: $100 invested at 7.651685346% annual rate for 6 years. FINAL:
155.641354
155.641354
exponential_interest
0
sinusoid
0.5
1
0
50
0.076567
Calculate the compound interest: $100 invested at 7.656725152% annual rate for 6 years. FINAL:
155.685078
155.685078
exponential_interest
0
sinusoid
0.5
1
0
51
0.076651
Calculate the compound interest: $100 invested at 7.665070882% annual rate for 6 years. FINAL:
155.757506
155.757506
exponential_interest
0
sinusoid
0.5
1
0
52
0.076766
Calculate the compound interest: $100 invested at 7.676642164% annual rate for 6 years. FINAL:
155.857973
155.857973
exponential_interest
0
sinusoid
0.5
1
0
53
0.076913
Calculate the compound interest: $100 invested at 7.691327557% annual rate for 6 years. FINAL:
155.985556
155.985556
exponential_interest
0
sinusoid
0.5
1
0
54
0.07709
Calculate the compound interest: $100 invested at 7.708985636% annual rate for 6 years. FINAL:
156.13908
156.13908
exponential_interest
0
sinusoid
0.5
1
0
55
0.077294
Calculate the compound interest: $100 invested at 7.729446341% annual rate for 6 years. FINAL:
156.317128
156.317128
exponential_interest
0
sinusoid
0.5
1
0
56
0.077525
Calculate the compound interest: $100 invested at 7.752512627% annual rate for 6 years. FINAL:
156.518053
156.518053
exponential_interest
0
sinusoid
0.5
1
0
57
0.07778
Calculate the compound interest: $100 invested at 7.777962351% annual rate for 6 years. FINAL:
156.739989
156.739989
exponential_interest
0
sinusoid
0.5
1
0
58
0.078056
Calculate the compound interest: $100 invested at 7.805550418% annual rate for 6 years. FINAL:
156.980869
156.980869
exponential_interest
0
sinusoid
0.5
1
0
59
0.07835
Calculate the compound interest: $100 invested at 7.835011142% annual rate for 6 years. FINAL:
157.23844
157.23844
exponential_interest
0
sinusoid
0.5
1
0
60
0.078661
Calculate the compound interest: $100 invested at 7.866060799% annual rate for 6 years. FINAL:
157.510283
157.510283
exponential_interest
0
sinusoid
0.5
1
0
61
0.078984
Calculate the compound interest: $100 invested at 7.898400363% annual rate for 6 years. FINAL:
157.793837
157.793837
exponential_interest
0
sinusoid
0.5
1
0
62
0.079317
Calculate the compound interest: $100 invested at 7.931718387% annual rate for 6 years. FINAL:
158.086414
158.086414
exponential_interest
0
sinusoid
0.5
1
0
63
0.079657
Calculate the compound interest: $100 invested at 7.965694001% annual rate for 6 years. FINAL:
158.385232
158.385232
exponential_interest
0
sinusoid
0.5
2
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
0.5
2
0
1
0.080683
Calculate the compound interest: $100 invested at 8.068281613% annual rate for 6 years. FINAL:
159.290353
159.290353
exponential_interest
0
sinusoid
0.5
2
0
2
0.081339
Calculate the compound interest: $100 invested at 8.133939201% annual rate for 6 years. FINAL:
159.871903
159.871903
exponential_interest
0
sinusoid
0.5
2
0
3
0.081944
Calculate the compound interest: $100 invested at 8.194449582% annual rate for 6 years. FINAL:
160.409428
160.409428
exponential_interest
0
sinusoid
0.5
2
0
4
0.082475
Calculate the compound interest: $100 invested at 8.247487373% annual rate for 6 years. FINAL:
160.881811
160.881811
exponential_interest
0
sinusoid
0.5
2
0
5
0.08291
Calculate the compound interest: $100 invested at 8.291014364% annual rate for 6 years. FINAL:
161.270351
161.270351
exponential_interest
0
sinusoid
0.5
2
0
6
0.083234
Calculate the compound interest: $100 invested at 8.323357836% annual rate for 6 years. FINAL:
161.559568
161.559568
exponential_interest
0
sinusoid
0.5
2
0
7
0.083433
Calculate the compound interest: $100 invested at 8.343274848% annual rate for 6 years. FINAL:
161.737882
161.737882
exponential_interest
0
sinusoid
0.5
2
0
8
0.0835
Calculate the compound interest: $100 invested at 8.35% annual rate for 6 years. FINAL:
161.798129
161.798129
exponential_interest
0
sinusoid
0.5
2
0
9
0.083433
Calculate the compound interest: $100 invested at 8.343274848% annual rate for 6 years. FINAL:
161.737882
161.737882
exponential_interest
0
sinusoid
0.5
2
0
10
0.083234
Calculate the compound interest: $100 invested at 8.323357836% annual rate for 6 years. FINAL:
161.559568
161.559568
exponential_interest
0
sinusoid
0.5
2
0
11
0.08291
Calculate the compound interest: $100 invested at 8.291014364% annual rate for 6 years. FINAL:
161.270351
161.270351
exponential_interest
0
sinusoid
0.5
2
0
12
0.082475
Calculate the compound interest: $100 invested at 8.247487373% annual rate for 6 years. FINAL:
160.881811
160.881811
exponential_interest
0
sinusoid
0.5
2
0
13
0.081944
Calculate the compound interest: $100 invested at 8.194449582% annual rate for 6 years. FINAL:
160.409428
160.409428
exponential_interest
0
sinusoid
0.5
2
0
14
0.081339
Calculate the compound interest: $100 invested at 8.133939201% annual rate for 6 years. FINAL:
159.871903
159.871903
exponential_interest
0
sinusoid
0.5
2
0
15
0.080683
Calculate the compound interest: $100 invested at 8.068281613% annual rate for 6 years. FINAL:
159.290353
159.290353
exponential_interest
0
sinusoid
0.5
2
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
0.5
2
0
17
0.079317
Calculate the compound interest: $100 invested at 7.931718387% annual rate for 6 years. FINAL:
158.086414
158.086414
exponential_interest
0
sinusoid
0.5
2
0
18
0.078661
Calculate the compound interest: $100 invested at 7.866060799% annual rate for 6 years. FINAL:
157.510283
157.510283
exponential_interest
0
sinusoid
0.5
2
0
19
0.078056
Calculate the compound interest: $100 invested at 7.805550418% annual rate for 6 years. FINAL:
156.980869
156.980869
exponential_interest
0
sinusoid
0.5
2
0
20
0.077525
Calculate the compound interest: $100 invested at 7.752512627% annual rate for 6 years. FINAL:
156.518053
156.518053
exponential_interest
0
sinusoid
0.5
2
0
21
0.07709
Calculate the compound interest: $100 invested at 7.708985636% annual rate for 6 years. FINAL:
156.13908
156.13908
exponential_interest
0
sinusoid
0.5
2
0
22
0.076766
Calculate the compound interest: $100 invested at 7.676642164% annual rate for 6 years. FINAL:
155.857973
155.857973
exponential_interest
0
sinusoid
0.5
2
0
23
0.076567
Calculate the compound interest: $100 invested at 7.656725152% annual rate for 6 years. FINAL:
155.685078
155.685078
exponential_interest
0
sinusoid
0.5
2
0
24
0.0765
Calculate the compound interest: $100 invested at 7.65% annual rate for 6 years. FINAL:
155.626735
155.626735
exponential_interest
0
sinusoid
0.5
2
0
25
0.076567
Calculate the compound interest: $100 invested at 7.656725152% annual rate for 6 years. FINAL:
155.685078
155.685078
exponential_interest
0
sinusoid
0.5
2
0
26
0.076766
Calculate the compound interest: $100 invested at 7.676642164% annual rate for 6 years. FINAL:
155.857973
155.857973
exponential_interest
0
sinusoid
0.5
2
0
27
0.07709
Calculate the compound interest: $100 invested at 7.708985636% annual rate for 6 years. FINAL:
156.13908
156.13908
exponential_interest
0
sinusoid
0.5
2
0
28
0.077525
Calculate the compound interest: $100 invested at 7.752512627% annual rate for 6 years. FINAL:
156.518053
156.518053
exponential_interest
0
sinusoid
0.5
2
0
29
0.078056
Calculate the compound interest: $100 invested at 7.805550418% annual rate for 6 years. FINAL:
156.980869
156.980869
exponential_interest
0
sinusoid
0.5
2
0
30
0.078661
Calculate the compound interest: $100 invested at 7.866060799% annual rate for 6 years. FINAL:
157.510283
157.510283
exponential_interest
0
sinusoid
0.5
2
0
31
0.079317
Calculate the compound interest: $100 invested at 7.931718387% annual rate for 6 years. FINAL:
158.086414
158.086414
exponential_interest
0
sinusoid
0.5
2
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
0.5
2
0
33
0.080683
Calculate the compound interest: $100 invested at 8.068281613% annual rate for 6 years. FINAL:
159.290353
159.290353
exponential_interest
0
sinusoid
0.5
2
0
34
0.081339
Calculate the compound interest: $100 invested at 8.133939201% annual rate for 6 years. FINAL:
159.871903
159.871903
exponential_interest
0
sinusoid
0.5
2
0
35
0.081944
Calculate the compound interest: $100 invested at 8.194449582% annual rate for 6 years. FINAL:
160.409428
160.409428