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
1
1
0
60
0.077321
Calculate the compound interest: $200 invested at 7.732121597% annual rate for 5 years. FINAL:
290.239194
290.239194
exponential_interest
1
sinusoid
1
1
0
61
0.077968
Calculate the compound interest: $200 invested at 7.796800726% annual rate for 5 years. FINAL:
291.111495
291.111495
exponential_interest
1
sinusoid
1
1
0
62
0.078634
Calculate the compound interest: $200 invested at 7.863436775% annual rate for 5 years. FINAL:
292.01238
292.01238
exponential_interest
1
sinusoid
1
1
0
63
0.079314
Calculate the compound interest: $200 invested at 7.931388002% annual rate for 5 years. FINAL:
292.933342
292.933342
exponential_interest
1
sinusoid
1
2
0
0
0.08
Calculate the compound interest: $200 invested at 8% annual rate for 5 years. FINAL:
293.865615
293.865615
exponential_interest
1
sinusoid
1
2
0
1
0.081366
Calculate the compound interest: $200 invested at 8.136563225% annual rate for 5 years. FINAL:
295.728248
295.728248
exponential_interest
1
sinusoid
1
2
0
2
0.082679
Calculate the compound interest: $200 invested at 8.267878403% annual rate for 5 years. FINAL:
297.528195
297.528195
exponential_interest
1
sinusoid
1
2
0
3
0.083889
Calculate the compound interest: $200 invested at 8.388899163% annual rate for 5 years. FINAL:
299.194787
299.194787
exponential_interest
1
sinusoid
1
2
0
4
0.08495
Calculate the compound interest: $200 invested at 8.494974747% annual rate for 5 years. FINAL:
300.661702
300.661702
exponential_interest
1
sinusoid
1
2
0
5
0.08582
Calculate the compound interest: $200 invested at 8.582028729% annual rate for 5 years. FINAL:
301.869861
301.869861
exponential_interest
1
sinusoid
1
2
0
6
0.086467
Calculate the compound interest: $200 invested at 8.646715673% annual rate for 5 years. FINAL:
302.770116
302.770116
exponential_interest
1
sinusoid
1
2
0
7
0.086865
Calculate the compound interest: $200 invested at 8.686549696% annual rate for 5 years. FINAL:
303.325559
303.325559
exponential_interest
1
sinusoid
1
2
0
8
0.087
Calculate the compound interest: $200 invested at 8.7% annual rate for 5 years. FINAL:
303.513293
303.513293
exponential_interest
1
sinusoid
1
2
0
9
0.086865
Calculate the compound interest: $200 invested at 8.686549696% annual rate for 5 years. FINAL:
303.325559
303.325559
exponential_interest
1
sinusoid
1
2
0
10
0.086467
Calculate the compound interest: $200 invested at 8.646715673% annual rate for 5 years. FINAL:
302.770116
302.770116
exponential_interest
1
sinusoid
1
2
0
11
0.08582
Calculate the compound interest: $200 invested at 8.582028729% annual rate for 5 years. FINAL:
301.869861
301.869861
exponential_interest
1
sinusoid
1
2
0
12
0.08495
Calculate the compound interest: $200 invested at 8.494974747% annual rate for 5 years. FINAL:
300.661702
300.661702
exponential_interest
1
sinusoid
1
2
0
13
0.083889
Calculate the compound interest: $200 invested at 8.388899163% annual rate for 5 years. FINAL:
299.194787
299.194787
exponential_interest
1
sinusoid
1
2
0
14
0.082679
Calculate the compound interest: $200 invested at 8.267878403% annual rate for 5 years. FINAL:
297.528195
297.528195
exponential_interest
1
sinusoid
1
2
0
15
0.081366
Calculate the compound interest: $200 invested at 8.136563225% annual rate for 5 years. FINAL:
295.728248
295.728248
exponential_interest
1
sinusoid
1
2
0
16
0.08
Calculate the compound interest: $200 invested at 8% annual rate for 5 years. FINAL:
293.865615
293.865615
exponential_interest
1
sinusoid
1
2
0
17
0.078634
Calculate the compound interest: $200 invested at 7.863436775% annual rate for 5 years. FINAL:
292.01238
292.01238
exponential_interest
1
sinusoid
1
2
0
18
0.077321
Calculate the compound interest: $200 invested at 7.732121597% annual rate for 5 years. FINAL:
290.239194
290.239194
exponential_interest
1
sinusoid
1
2
0
19
0.076111
Calculate the compound interest: $200 invested at 7.611100837% annual rate for 5 years. FINAL:
288.612653
288.612653
exponential_interest
1
sinusoid
1
2
0
20
0.07505
Calculate the compound interest: $200 invested at 7.505025253% annual rate for 5 years. FINAL:
287.192982
287.192982
exponential_interest
1
sinusoid
1
2
0
21
0.07418
Calculate the compound interest: $200 invested at 7.417971271% annual rate for 5 years. FINAL:
286.032067
286.032067
exponential_interest
1
sinusoid
1
2
0
22
0.073533
Calculate the compound interest: $200 invested at 7.353284327% annual rate for 5 years. FINAL:
285.171864
285.171864
exponential_interest
1
sinusoid
1
2
0
23
0.073135
Calculate the compound interest: $200 invested at 7.313450304% annual rate for 5 years. FINAL:
284.643183
284.643183
exponential_interest
1
sinusoid
1
2
0
24
0.073
Calculate the compound interest: $200 invested at 7.3% annual rate for 5 years. FINAL:
284.464847
284.464847
exponential_interest
1
sinusoid
1
2
0
25
0.073135
Calculate the compound interest: $200 invested at 7.313450304% annual rate for 5 years. FINAL:
284.643183
284.643183
exponential_interest
1
sinusoid
1
2
0
26
0.073533
Calculate the compound interest: $200 invested at 7.353284327% annual rate for 5 years. FINAL:
285.171864
285.171864
exponential_interest
1
sinusoid
1
2
0
27
0.07418
Calculate the compound interest: $200 invested at 7.417971271% annual rate for 5 years. FINAL:
286.032067
286.032067
exponential_interest
1
sinusoid
1
2
0
28
0.07505
Calculate the compound interest: $200 invested at 7.505025253% annual rate for 5 years. FINAL:
287.192982
287.192982
exponential_interest
1
sinusoid
1
2
0
29
0.076111
Calculate the compound interest: $200 invested at 7.611100837% annual rate for 5 years. FINAL:
288.612653
288.612653
exponential_interest
1
sinusoid
1
2
0
30
0.077321
Calculate the compound interest: $200 invested at 7.732121597% annual rate for 5 years. FINAL:
290.239194
290.239194
exponential_interest
1
sinusoid
1
2
0
31
0.078634
Calculate the compound interest: $200 invested at 7.863436775% annual rate for 5 years. FINAL:
292.01238
292.01238
exponential_interest
1
sinusoid
1
2
0
32
0.08
Calculate the compound interest: $200 invested at 8% annual rate for 5 years. FINAL:
293.865615
293.865615
exponential_interest
1
sinusoid
1
2
0
33
0.081366
Calculate the compound interest: $200 invested at 8.136563225% annual rate for 5 years. FINAL:
295.728248
295.728248
exponential_interest
1
sinusoid
1
2
0
34
0.082679
Calculate the compound interest: $200 invested at 8.267878403% annual rate for 5 years. FINAL:
297.528195
297.528195
exponential_interest
1
sinusoid
1
2
0
35
0.083889
Calculate the compound interest: $200 invested at 8.388899163% annual rate for 5 years. FINAL:
299.194787
299.194787
exponential_interest
1
sinusoid
1
2
0
36
0.08495
Calculate the compound interest: $200 invested at 8.494974747% annual rate for 5 years. FINAL:
300.661702
300.661702
exponential_interest
1
sinusoid
1
2
0
37
0.08582
Calculate the compound interest: $200 invested at 8.582028729% annual rate for 5 years. FINAL:
301.869861
301.869861
exponential_interest
1
sinusoid
1
2
0
38
0.086467
Calculate the compound interest: $200 invested at 8.646715673% annual rate for 5 years. FINAL:
302.770116
302.770116
exponential_interest
1
sinusoid
1
2
0
39
0.086865
Calculate the compound interest: $200 invested at 8.686549696% annual rate for 5 years. FINAL:
303.325559
303.325559
exponential_interest
1
sinusoid
1
2
0
40
0.087
Calculate the compound interest: $200 invested at 8.7% annual rate for 5 years. FINAL:
303.513293
303.513293
exponential_interest
1
sinusoid
1
2
0
41
0.086865
Calculate the compound interest: $200 invested at 8.686549696% annual rate for 5 years. FINAL:
303.325559
303.325559
exponential_interest
1
sinusoid
1
2
0
42
0.086467
Calculate the compound interest: $200 invested at 8.646715673% annual rate for 5 years. FINAL:
302.770116
302.770116
exponential_interest
1
sinusoid
1
2
0
43
0.08582
Calculate the compound interest: $200 invested at 8.582028729% annual rate for 5 years. FINAL:
301.869861
301.869861
exponential_interest
1
sinusoid
1
2
0
44
0.08495
Calculate the compound interest: $200 invested at 8.494974747% annual rate for 5 years. FINAL:
300.661702
300.661702
exponential_interest
1
sinusoid
1
2
0
45
0.083889
Calculate the compound interest: $200 invested at 8.388899163% annual rate for 5 years. FINAL:
299.194787
299.194787
exponential_interest
1
sinusoid
1
2
0
46
0.082679
Calculate the compound interest: $200 invested at 8.267878403% annual rate for 5 years. FINAL:
297.528195
297.528195
exponential_interest
1
sinusoid
1
2
0
47
0.081366
Calculate the compound interest: $200 invested at 8.136563225% annual rate for 5 years. FINAL:
295.728248
295.728248
exponential_interest
1
sinusoid
1
2
0
48
0.08
Calculate the compound interest: $200 invested at 8% annual rate for 5 years. FINAL:
293.865615
293.865615
exponential_interest
1
sinusoid
1
2
0
49
0.078634
Calculate the compound interest: $200 invested at 7.863436775% annual rate for 5 years. FINAL:
292.01238
292.01238
exponential_interest
1
sinusoid
1
2
0
50
0.077321
Calculate the compound interest: $200 invested at 7.732121597% annual rate for 5 years. FINAL:
290.239194
290.239194
exponential_interest
1
sinusoid
1
2
0
51
0.076111
Calculate the compound interest: $200 invested at 7.611100837% annual rate for 5 years. FINAL:
288.612653
288.612653
exponential_interest
1
sinusoid
1
2
0
52
0.07505
Calculate the compound interest: $200 invested at 7.505025253% annual rate for 5 years. FINAL:
287.192982
287.192982
exponential_interest
1
sinusoid
1
2
0
53
0.07418
Calculate the compound interest: $200 invested at 7.417971271% annual rate for 5 years. FINAL:
286.032067
286.032067
exponential_interest
1
sinusoid
1
2
0
54
0.073533
Calculate the compound interest: $200 invested at 7.353284327% annual rate for 5 years. FINAL:
285.171864
285.171864
exponential_interest
1
sinusoid
1
2
0
55
0.073135
Calculate the compound interest: $200 invested at 7.313450304% annual rate for 5 years. FINAL:
284.643183
284.643183
exponential_interest
1
sinusoid
1
2
0
56
0.073
Calculate the compound interest: $200 invested at 7.3% annual rate for 5 years. FINAL:
284.464847
284.464847
exponential_interest
1
sinusoid
1
2
0
57
0.073135
Calculate the compound interest: $200 invested at 7.313450304% annual rate for 5 years. FINAL:
284.643183
284.643183
exponential_interest
1
sinusoid
1
2
0
58
0.073533
Calculate the compound interest: $200 invested at 7.353284327% annual rate for 5 years. FINAL:
285.171864
285.171864
exponential_interest
1
sinusoid
1
2
0
59
0.07418
Calculate the compound interest: $200 invested at 7.417971271% annual rate for 5 years. FINAL:
286.032067
286.032067
exponential_interest
1
sinusoid
1
2
0
60
0.07505
Calculate the compound interest: $200 invested at 7.505025253% annual rate for 5 years. FINAL:
287.192982
287.192982
exponential_interest
1
sinusoid
1
2
0
61
0.076111
Calculate the compound interest: $200 invested at 7.611100837% annual rate for 5 years. FINAL:
288.612653
288.612653
exponential_interest
1
sinusoid
1
2
0
62
0.077321
Calculate the compound interest: $200 invested at 7.732121597% annual rate for 5 years. FINAL:
290.239194
290.239194
exponential_interest
1
sinusoid
1
2
0
63
0.078634
Calculate the compound interest: $200 invested at 7.863436775% annual rate for 5 years. FINAL:
292.01238
292.01238
exponential_interest
1
sinusoid
1
4
0
0
0.08
Calculate the compound interest: $200 invested at 8% annual rate for 5 years. FINAL:
293.865615
293.865615
exponential_interest
1
sinusoid
1
4
0
1
0.082679
Calculate the compound interest: $200 invested at 8.267878403% annual rate for 5 years. FINAL:
297.528195
297.528195
exponential_interest
1
sinusoid
1
4
0
2
0.08495
Calculate the compound interest: $200 invested at 8.494974747% annual rate for 5 years. FINAL:
300.661702
300.661702
exponential_interest
1
sinusoid
1
4
0
3
0.086467
Calculate the compound interest: $200 invested at 8.646715673% annual rate for 5 years. FINAL:
302.770116
302.770116
exponential_interest
1
sinusoid
1
4
0
4
0.087
Calculate the compound interest: $200 invested at 8.7% annual rate for 5 years. FINAL:
303.513293
303.513293
exponential_interest
1
sinusoid
1
4
0
5
0.086467
Calculate the compound interest: $200 invested at 8.646715673% annual rate for 5 years. FINAL:
302.770116
302.770116
exponential_interest
1
sinusoid
1
4
0
6
0.08495
Calculate the compound interest: $200 invested at 8.494974747% annual rate for 5 years. FINAL:
300.661702
300.661702
exponential_interest
1
sinusoid
1
4
0
7
0.082679
Calculate the compound interest: $200 invested at 8.267878403% annual rate for 5 years. FINAL:
297.528195
297.528195
exponential_interest
1
sinusoid
1
4
0
8
0.08
Calculate the compound interest: $200 invested at 8% annual rate for 5 years. FINAL:
293.865615
293.865615
exponential_interest
1
sinusoid
1
4
0
9
0.077321
Calculate the compound interest: $200 invested at 7.732121597% annual rate for 5 years. FINAL:
290.239194
290.239194
exponential_interest
1
sinusoid
1
4
0
10
0.07505
Calculate the compound interest: $200 invested at 7.505025253% annual rate for 5 years. FINAL:
287.192982
287.192982
exponential_interest
1
sinusoid
1
4
0
11
0.073533
Calculate the compound interest: $200 invested at 7.353284327% annual rate for 5 years. FINAL:
285.171864
285.171864
exponential_interest
1
sinusoid
1
4
0
12
0.073
Calculate the compound interest: $200 invested at 7.3% annual rate for 5 years. FINAL:
284.464847
284.464847
exponential_interest
1
sinusoid
1
4
0
13
0.073533
Calculate the compound interest: $200 invested at 7.353284327% annual rate for 5 years. FINAL:
285.171864
285.171864
exponential_interest
1
sinusoid
1
4
0
14
0.07505
Calculate the compound interest: $200 invested at 7.505025253% annual rate for 5 years. FINAL:
287.192982
287.192982
exponential_interest
1
sinusoid
1
4
0
15
0.077321
Calculate the compound interest: $200 invested at 7.732121597% annual rate for 5 years. FINAL:
290.239194
290.239194
exponential_interest
1
sinusoid
1
4
0
16
0.08
Calculate the compound interest: $200 invested at 8% annual rate for 5 years. FINAL:
293.865615
293.865615
exponential_interest
1
sinusoid
1
4
0
17
0.082679
Calculate the compound interest: $200 invested at 8.267878403% annual rate for 5 years. FINAL:
297.528195
297.528195
exponential_interest
1
sinusoid
1
4
0
18
0.08495
Calculate the compound interest: $200 invested at 8.494974747% annual rate for 5 years. FINAL:
300.661702
300.661702
exponential_interest
1
sinusoid
1
4
0
19
0.086467
Calculate the compound interest: $200 invested at 8.646715673% annual rate for 5 years. FINAL:
302.770116
302.770116
exponential_interest
1
sinusoid
1
4
0
20
0.087
Calculate the compound interest: $200 invested at 8.7% annual rate for 5 years. FINAL:
303.513293
303.513293
exponential_interest
1
sinusoid
1
4
0
21
0.086467
Calculate the compound interest: $200 invested at 8.646715673% annual rate for 5 years. FINAL:
302.770116
302.770116
exponential_interest
1
sinusoid
1
4
0
22
0.08495
Calculate the compound interest: $200 invested at 8.494974747% annual rate for 5 years. FINAL:
300.661702
300.661702
exponential_interest
1
sinusoid
1
4
0
23
0.082679
Calculate the compound interest: $200 invested at 8.267878403% annual rate for 5 years. FINAL:
297.528195
297.528195
exponential_interest
1
sinusoid
1
4
0
24
0.08
Calculate the compound interest: $200 invested at 8% annual rate for 5 years. FINAL:
293.865615
293.865615
exponential_interest
1
sinusoid
1
4
0
25
0.077321
Calculate the compound interest: $200 invested at 7.732121597% annual rate for 5 years. FINAL:
290.239194
290.239194
exponential_interest
1
sinusoid
1
4
0
26
0.07505
Calculate the compound interest: $200 invested at 7.505025253% annual rate for 5 years. FINAL:
287.192982
287.192982
exponential_interest
1
sinusoid
1
4
0
27
0.073533
Calculate the compound interest: $200 invested at 7.353284327% annual rate for 5 years. FINAL:
285.171864
285.171864
exponential_interest
1
sinusoid
1
4
0
28
0.073
Calculate the compound interest: $200 invested at 7.3% annual rate for 5 years. FINAL:
284.464847
284.464847
exponential_interest
1
sinusoid
1
4
0
29
0.073533
Calculate the compound interest: $200 invested at 7.353284327% annual rate for 5 years. FINAL:
285.171864
285.171864
exponential_interest
1
sinusoid
1
4
0
30
0.07505
Calculate the compound interest: $200 invested at 7.505025253% annual rate for 5 years. FINAL:
287.192982
287.192982
exponential_interest
1
sinusoid
1
4
0
31
0.077321
Calculate the compound interest: $200 invested at 7.732121597% annual rate for 5 years. FINAL:
290.239194
290.239194