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
1
1
0
20
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
21
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
22
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
23
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
24
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
25
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
26
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
27
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
28
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
29
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
30
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
31
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
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
1
1
0
33
0.079314
Calculate the compound interest: $100 invested at 7.931388002% annual rate for 6 years. FINAL:
158.083511
158.083511
exponential_interest
0
sinusoid
1
1
0
34
0.078634
Calculate the compound interest: $100 invested at 7.863436775% annual rate for 6 years. FINAL:
157.487295
157.487295
exponential_interest
0
sinusoid
1
1
0
35
0.077968
Calculate the compound interest: $100 invested at 7.796800726% annual rate for 6 years. FINAL:
156.904439
156.904439
exponential_interest
0
sinusoid
1
1
0
36
0.077321
Calculate the compound interest: $100 invested at 7.732121597% annual rate for 6 years. FINAL:
156.34042
156.34042
exponential_interest
0
sinusoid
1
1
0
37
0.0767
Calculate the compound interest: $100 invested at 7.670022284% annual rate for 6 years. FINAL:
155.800489
155.800489
exponential_interest
0
sinusoid
1
1
0
38
0.076111
Calculate the compound interest: $100 invested at 7.611100837% annual rate for 6 years. FINAL:
155.289626
155.289626
exponential_interest
0
sinusoid
1
1
0
39
0.075559
Calculate the compound interest: $100 invested at 7.555924701% annual rate for 6 years. FINAL:
154.812502
154.812502
exponential_interest
0
sinusoid
1
1
0
40
0.07505
Calculate the compound interest: $100 invested at 7.505025253% annual rate for 6 years. FINAL:
154.373444
154.373444
exponential_interest
0
sinusoid
1
1
0
41
0.074589
Calculate the compound interest: $100 invested at 7.458892683% annual rate for 6 years. FINAL:
153.976402
153.976402
exponential_interest
0
sinusoid
1
1
0
42
0.07418
Calculate the compound interest: $100 invested at 7.417971271% annual rate for 6 years. FINAL:
153.624922
153.624922
exponential_interest
0
sinusoid
1
1
0
43
0.073827
Calculate the compound interest: $100 invested at 7.382655115% annual rate for 6 years. FINAL:
153.322124
153.322124
exponential_interest
0
sinusoid
1
1
0
44
0.073533
Calculate the compound interest: $100 invested at 7.353284327% annual rate for 6 years. FINAL:
153.070681
153.070681
exponential_interest
0
sinusoid
1
1
0
45
0.073301
Calculate the compound interest: $100 invested at 7.330141765% annual rate for 6 years. FINAL:
152.872799
152.872799
exponential_interest
0
sinusoid
1
1
0
46
0.073135
Calculate the compound interest: $100 invested at 7.313450304% annual rate for 6 years. FINAL:
152.73021
152.73021
exponential_interest
0
sinusoid
1
1
0
47
0.073034
Calculate the compound interest: $100 invested at 7.303370691% annual rate for 6 years. FINAL:
152.644158
152.644158
exponential_interest
0
sinusoid
1
1
0
48
0.073
Calculate the compound interest: $100 invested at 7.3% annual rate for 6 years. FINAL:
152.61539
152.61539
exponential_interest
0
sinusoid
1
1
0
49
0.073034
Calculate the compound interest: $100 invested at 7.303370691% annual rate for 6 years. FINAL:
152.644158
152.644158
exponential_interest
0
sinusoid
1
1
0
50
0.073135
Calculate the compound interest: $100 invested at 7.313450304% annual rate for 6 years. FINAL:
152.73021
152.73021
exponential_interest
0
sinusoid
1
1
0
51
0.073301
Calculate the compound interest: $100 invested at 7.330141765% annual rate for 6 years. FINAL:
152.872799
152.872799
exponential_interest
0
sinusoid
1
1
0
52
0.073533
Calculate the compound interest: $100 invested at 7.353284327% annual rate for 6 years. FINAL:
153.070681
153.070681
exponential_interest
0
sinusoid
1
1
0
53
0.073827
Calculate the compound interest: $100 invested at 7.382655115% annual rate for 6 years. FINAL:
153.322124
153.322124
exponential_interest
0
sinusoid
1
1
0
54
0.07418
Calculate the compound interest: $100 invested at 7.417971271% annual rate for 6 years. FINAL:
153.624922
153.624922
exponential_interest
0
sinusoid
1
1
0
55
0.074589
Calculate the compound interest: $100 invested at 7.458892683% annual rate for 6 years. FINAL:
153.976402
153.976402
exponential_interest
0
sinusoid
1
1
0
56
0.07505
Calculate the compound interest: $100 invested at 7.505025253% annual rate for 6 years. FINAL:
154.373444
154.373444
exponential_interest
0
sinusoid
1
1
0
57
0.075559
Calculate the compound interest: $100 invested at 7.555924701% annual rate for 6 years. FINAL:
154.812502
154.812502
exponential_interest
0
sinusoid
1
1
0
58
0.076111
Calculate the compound interest: $100 invested at 7.611100837% annual rate for 6 years. FINAL:
155.289626
155.289626
exponential_interest
0
sinusoid
1
1
0
59
0.0767
Calculate the compound interest: $100 invested at 7.670022284% annual rate for 6 years. FINAL:
155.800489
155.800489
exponential_interest
0
sinusoid
1
1
0
60
0.077321
Calculate the compound interest: $100 invested at 7.732121597% annual rate for 6 years. FINAL:
156.34042
156.34042
exponential_interest
0
sinusoid
1
1
0
61
0.077968
Calculate the compound interest: $100 invested at 7.796800726% annual rate for 6 years. FINAL:
156.904439
156.904439
exponential_interest
0
sinusoid
1
1
0
62
0.078634
Calculate the compound interest: $100 invested at 7.863436775% annual rate for 6 years. FINAL:
157.487295
157.487295
exponential_interest
0
sinusoid
1
1
0
63
0.079314
Calculate the compound interest: $100 invested at 7.931388002% annual rate for 6 years. FINAL:
158.083511
158.083511
exponential_interest
0
sinusoid
1
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
1
2
0
1
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
2
0
2
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
2
0
3
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
2
0
4
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
2
0
5
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
2
0
6
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
2
0
7
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
2
0
8
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
2
0
9
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
2
0
10
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
2
0
11
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
2
0
12
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
2
0
13
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
2
0
14
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
2
0
15
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
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
1
2
0
17
0.078634
Calculate the compound interest: $100 invested at 7.863436775% annual rate for 6 years. FINAL:
157.487295
157.487295
exponential_interest
0
sinusoid
1
2
0
18
0.077321
Calculate the compound interest: $100 invested at 7.732121597% annual rate for 6 years. FINAL:
156.34042
156.34042
exponential_interest
0
sinusoid
1
2
0
19
0.076111
Calculate the compound interest: $100 invested at 7.611100837% annual rate for 6 years. FINAL:
155.289626
155.289626
exponential_interest
0
sinusoid
1
2
0
20
0.07505
Calculate the compound interest: $100 invested at 7.505025253% annual rate for 6 years. FINAL:
154.373444
154.373444
exponential_interest
0
sinusoid
1
2
0
21
0.07418
Calculate the compound interest: $100 invested at 7.417971271% annual rate for 6 years. FINAL:
153.624922
153.624922
exponential_interest
0
sinusoid
1
2
0
22
0.073533
Calculate the compound interest: $100 invested at 7.353284327% annual rate for 6 years. FINAL:
153.070681
153.070681
exponential_interest
0
sinusoid
1
2
0
23
0.073135
Calculate the compound interest: $100 invested at 7.313450304% annual rate for 6 years. FINAL:
152.73021
152.73021
exponential_interest
0
sinusoid
1
2
0
24
0.073
Calculate the compound interest: $100 invested at 7.3% annual rate for 6 years. FINAL:
152.61539
152.61539
exponential_interest
0
sinusoid
1
2
0
25
0.073135
Calculate the compound interest: $100 invested at 7.313450304% annual rate for 6 years. FINAL:
152.73021
152.73021
exponential_interest
0
sinusoid
1
2
0
26
0.073533
Calculate the compound interest: $100 invested at 7.353284327% annual rate for 6 years. FINAL:
153.070681
153.070681
exponential_interest
0
sinusoid
1
2
0
27
0.07418
Calculate the compound interest: $100 invested at 7.417971271% annual rate for 6 years. FINAL:
153.624922
153.624922
exponential_interest
0
sinusoid
1
2
0
28
0.07505
Calculate the compound interest: $100 invested at 7.505025253% annual rate for 6 years. FINAL:
154.373444
154.373444
exponential_interest
0
sinusoid
1
2
0
29
0.076111
Calculate the compound interest: $100 invested at 7.611100837% annual rate for 6 years. FINAL:
155.289626
155.289626
exponential_interest
0
sinusoid
1
2
0
30
0.077321
Calculate the compound interest: $100 invested at 7.732121597% annual rate for 6 years. FINAL:
156.34042
156.34042
exponential_interest
0
sinusoid
1
2
0
31
0.078634
Calculate the compound interest: $100 invested at 7.863436775% annual rate for 6 years. FINAL:
157.487295
157.487295
exponential_interest
0
sinusoid
1
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
1
2
0
33
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
2
0
34
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
2
0
35
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
2
0
36
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
2
0
37
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
2
0
38
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
2
0
39
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
2
0
40
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
2
0
41
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
2
0
42
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
2
0
43
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
2
0
44
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
2
0
45
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
2
0
46
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
2
0
47
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
2
0
48
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
2
0
49
0.078634
Calculate the compound interest: $100 invested at 7.863436775% annual rate for 6 years. FINAL:
157.487295
157.487295
exponential_interest
0
sinusoid
1
2
0
50
0.077321
Calculate the compound interest: $100 invested at 7.732121597% annual rate for 6 years. FINAL:
156.34042
156.34042
exponential_interest
0
sinusoid
1
2
0
51
0.076111
Calculate the compound interest: $100 invested at 7.611100837% annual rate for 6 years. FINAL:
155.289626
155.289626
exponential_interest
0
sinusoid
1
2
0
52
0.07505
Calculate the compound interest: $100 invested at 7.505025253% annual rate for 6 years. FINAL:
154.373444
154.373444
exponential_interest
0
sinusoid
1
2
0
53
0.07418
Calculate the compound interest: $100 invested at 7.417971271% annual rate for 6 years. FINAL:
153.624922
153.624922
exponential_interest
0
sinusoid
1
2
0
54
0.073533
Calculate the compound interest: $100 invested at 7.353284327% annual rate for 6 years. FINAL:
153.070681
153.070681
exponential_interest
0
sinusoid
1
2
0
55
0.073135
Calculate the compound interest: $100 invested at 7.313450304% annual rate for 6 years. FINAL:
152.73021
152.73021