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
16
240
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
16
240
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
240
46
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
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
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
16
240
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
240
50
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
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
240
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
16
240
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
240
54
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
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
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
16
240
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
240
58
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
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
240
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
16
240
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
240
62
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
63
0.08175
Calculate the compound interest: $200 invested at 8.175% annual rate for 5 years. FINAL:
296.254199
296.254199
exponential_interest
2
sinusoid
0.5
1
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
1
0
1
0.080343
Calculate the compound interest: $150 invested at 8.034305999% annual rate for 4 years. FINAL:
204.332762
204.332762
exponential_interest
2
sinusoid
0.5
1
0
2
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
1
0
3
0.081016
Calculate the compound interest: $150 invested at 8.101599637% annual rate for 4 years. FINAL:
204.842346
204.842346
exponential_interest
2
sinusoid
0.5
1
0
4
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
1
0
5
0.08165
Calculate the compound interest: $150 invested at 8.164988858% annual rate for 4 years. FINAL:
205.323235
205.323235
exponential_interest
2
sinusoid
0.5
1
0
6
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
1
0
7
0.08222
Calculate the compound interest: $150 invested at 8.222037649% annual rate for 4 years. FINAL:
205.756747
205.756747
exponential_interest
2
sinusoid
0.5
1
0
8
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
1
0
9
0.082706
Calculate the compound interest: $150 invested at 8.270553659% annual rate for 4 years. FINAL:
206.125959
206.125959
exponential_interest
2
sinusoid
0.5
1
0
10
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
1
0
11
0.083087
Calculate the compound interest: $150 invested at 8.308672443% annual rate for 4 years. FINAL:
206.416395
206.416395
exponential_interest
2
sinusoid
0.5
1
0
12
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
1
0
13
0.083349
Calculate the compound interest: $150 invested at 8.334929118% annual rate for 4 years. FINAL:
206.61663
206.61663
exponential_interest
2
sinusoid
0.5
1
0
14
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
1
0
15
0.083483
Calculate the compound interest: $150 invested at 8.348314654% annual rate for 4 years. FINAL:
206.718764
206.718764
exponential_interest
2
sinusoid
0.5
1
0
16
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
1
0
17
0.083483
Calculate the compound interest: $150 invested at 8.348314654% annual rate for 4 years. FINAL:
206.718764
206.718764
exponential_interest
2
sinusoid
0.5
1
0
18
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
1
0
19
0.083349
Calculate the compound interest: $150 invested at 8.334929118% annual rate for 4 years. FINAL:
206.61663
206.61663
exponential_interest
2
sinusoid
0.5
1
0
20
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
1
0
21
0.083087
Calculate the compound interest: $150 invested at 8.308672443% annual rate for 4 years. FINAL:
206.416395
206.416395
exponential_interest
2
sinusoid
0.5
1
0
22
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
1
0
23
0.082706
Calculate the compound interest: $150 invested at 8.270553659% annual rate for 4 years. FINAL:
206.125959
206.125959
exponential_interest
2
sinusoid
0.5
1
0
24
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
1
0
25
0.08222
Calculate the compound interest: $150 invested at 8.222037649% annual rate for 4 years. FINAL:
205.756747
205.756747
exponential_interest
2
sinusoid
0.5
1
0
26
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
1
0
27
0.08165
Calculate the compound interest: $150 invested at 8.164988858% annual rate for 4 years. FINAL:
205.323235
205.323235
exponential_interest
2
sinusoid
0.5
1
0
28
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
1
0
29
0.081016
Calculate the compound interest: $150 invested at 8.101599637% annual rate for 4 years. FINAL:
204.842346
204.842346
exponential_interest
2
sinusoid
0.5
1
0
30
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
1
0
31
0.080343
Calculate the compound interest: $150 invested at 8.034305999% annual rate for 4 years. FINAL:
204.332762
204.332762
exponential_interest
2
sinusoid
0.5
1
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
1
0
33
0.079657
Calculate the compound interest: $150 invested at 7.965694001% annual rate for 4 years. FINAL:
203.814173
203.814173
exponential_interest
2
sinusoid
0.5
1
0
34
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
1
0
35
0.078984
Calculate the compound interest: $150 invested at 7.898400363% annual rate for 4 years. FINAL:
203.306509
203.306509
exponential_interest
2
sinusoid
0.5
1
0
36
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
1
0
37
0.07835
Calculate the compound interest: $150 invested at 7.835011142% annual rate for 4 years. FINAL:
202.829168
202.829168
exponential_interest
2
sinusoid
0.5
1
0
38
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
1
0
39
0.07778
Calculate the compound interest: $150 invested at 7.777962351% annual rate for 4 years. FINAL:
202.400291
202.400291
exponential_interest
2
sinusoid
0.5
1
0
40
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
1
0
41
0.077294
Calculate the compound interest: $150 invested at 7.729446341% annual rate for 4 years. FINAL:
202.036097
202.036097
exponential_interest
2
sinusoid
0.5
1
0
42
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
1
0
43
0.076913
Calculate the compound interest: $150 invested at 7.691327557% annual rate for 4 years. FINAL:
201.750297
201.750297
exponential_interest
2
sinusoid
0.5
1
0
44
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
1
0
45
0.076651
Calculate the compound interest: $150 invested at 7.665070882% annual rate for 4 years. FINAL:
201.55361
201.55361
exponential_interest
2
sinusoid
0.5
1
0
46
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
1
0
47
0.076517
Calculate the compound interest: $150 invested at 7.651685346% annual rate for 4 years. FINAL:
201.453396
201.453396
exponential_interest
2
sinusoid
0.5
1
0
48
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
1
0
49
0.076517
Calculate the compound interest: $150 invested at 7.651685346% annual rate for 4 years. FINAL:
201.453396
201.453396
exponential_interest
2
sinusoid
0.5
1
0
50
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
1
0
51
0.076651
Calculate the compound interest: $150 invested at 7.665070882% annual rate for 4 years. FINAL:
201.55361
201.55361
exponential_interest
2
sinusoid
0.5
1
0
52
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
1
0
53
0.076913
Calculate the compound interest: $150 invested at 7.691327557% annual rate for 4 years. FINAL:
201.750297
201.750297
exponential_interest
2
sinusoid
0.5
1
0
54
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
1
0
55
0.077294
Calculate the compound interest: $150 invested at 7.729446341% annual rate for 4 years. FINAL:
202.036097
202.036097
exponential_interest
2
sinusoid
0.5
1
0
56
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
1
0
57
0.07778
Calculate the compound interest: $150 invested at 7.777962351% annual rate for 4 years. FINAL:
202.400291
202.400291
exponential_interest
2
sinusoid
0.5
1
0
58
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
1
0
59
0.07835
Calculate the compound interest: $150 invested at 7.835011142% annual rate for 4 years. FINAL:
202.829168
202.829168
exponential_interest
2
sinusoid
0.5
1
0
60
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
1
0
61
0.078984
Calculate the compound interest: $150 invested at 7.898400363% annual rate for 4 years. FINAL:
203.306509
203.306509
exponential_interest
2
sinusoid
0.5
1
0
62
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
1
0
63
0.079657
Calculate the compound interest: $150 invested at 7.965694001% annual rate for 4 years. FINAL:
203.814173
203.814173
exponential_interest
2
sinusoid
0.5
2
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
2
0
1
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
2
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
3
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
4
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
5
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
6
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
7
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
8
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
9
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
10
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
11
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
12
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
13
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
14
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
15
0.080683
Calculate the compound interest: $150 invested at 8.068281613% annual rate for 4 years. FINAL:
204.589925
204.589925