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
16
240
24
0.073938
Calculate the compound interest: $100 invested at 7.393782217% annual rate for 6 years. FINAL:
153.417473
153.417473
exponential_interest
0
sinusoid
1
16
240
25
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
1
16
240
26
0.086062
Calculate the compound interest: $100 invested at 8.606217783% annual rate for 6 years. FINAL:
164.10739
164.10739
exponential_interest
0
sinusoid
1
16
240
27
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
1
16
240
28
0.073938
Calculate the compound interest: $100 invested at 7.393782217% annual rate for 6 years. FINAL:
153.417473
153.417473
exponential_interest
0
sinusoid
1
16
240
29
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
1
16
240
30
0.086062
Calculate the compound interest: $100 invested at 8.606217783% annual rate for 6 years. FINAL:
164.10739
164.10739
exponential_interest
0
sinusoid
1
16
240
31
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
1
16
240
32
0.073938
Calculate the compound interest: $100 invested at 7.393782217% annual rate for 6 years. FINAL:
153.417473
153.417473
exponential_interest
0
sinusoid
1
16
240
33
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
1
16
240
34
0.086062
Calculate the compound interest: $100 invested at 8.606217783% annual rate for 6 years. FINAL:
164.10739
164.10739
exponential_interest
0
sinusoid
1
16
240
35
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
1
16
240
36
0.073938
Calculate the compound interest: $100 invested at 7.393782217% annual rate for 6 years. FINAL:
153.417473
153.417473
exponential_interest
0
sinusoid
1
16
240
37
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
1
16
240
38
0.086062
Calculate the compound interest: $100 invested at 8.606217783% annual rate for 6 years. FINAL:
164.10739
164.10739
exponential_interest
0
sinusoid
1
16
240
39
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
1
16
240
40
0.073938
Calculate the compound interest: $100 invested at 7.393782217% annual rate for 6 years. FINAL:
153.417473
153.417473
exponential_interest
0
sinusoid
1
16
240
41
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
1
16
240
42
0.086062
Calculate the compound interest: $100 invested at 8.606217783% annual rate for 6 years. FINAL:
164.10739
164.10739
exponential_interest
0
sinusoid
1
16
240
43
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
1
16
240
44
0.073938
Calculate the compound interest: $100 invested at 7.393782217% annual rate for 6 years. FINAL:
153.417473
153.417473
exponential_interest
0
sinusoid
1
16
240
45
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
1
16
240
46
0.086062
Calculate the compound interest: $100 invested at 8.606217783% annual rate for 6 years. FINAL:
164.10739
164.10739
exponential_interest
0
sinusoid
1
16
240
47
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
1
16
240
48
0.073938
Calculate the compound interest: $100 invested at 7.393782217% annual rate for 6 years. FINAL:
153.417473
153.417473
exponential_interest
0
sinusoid
1
16
240
49
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
1
16
240
50
0.086062
Calculate the compound interest: $100 invested at 8.606217783% annual rate for 6 years. FINAL:
164.10739
164.10739
exponential_interest
0
sinusoid
1
16
240
51
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
1
16
240
52
0.073938
Calculate the compound interest: $100 invested at 7.393782217% annual rate for 6 years. FINAL:
153.417473
153.417473
exponential_interest
0
sinusoid
1
16
240
53
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
1
16
240
54
0.086062
Calculate the compound interest: $100 invested at 8.606217783% annual rate for 6 years. FINAL:
164.10739
164.10739
exponential_interest
0
sinusoid
1
16
240
55
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
1
16
240
56
0.073938
Calculate the compound interest: $100 invested at 7.393782217% annual rate for 6 years. FINAL:
153.417473
153.417473
exponential_interest
0
sinusoid
1
16
240
57
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
1
16
240
58
0.086062
Calculate the compound interest: $100 invested at 8.606217783% annual rate for 6 years. FINAL:
164.10739
164.10739
exponential_interest
0
sinusoid
1
16
240
59
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
1
16
240
60
0.073938
Calculate the compound interest: $100 invested at 7.393782217% annual rate for 6 years. FINAL:
153.417473
153.417473
exponential_interest
0
sinusoid
1
16
240
61
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
1
16
240
62
0.086062
Calculate the compound interest: $100 invested at 8.606217783% annual rate for 6 years. FINAL:
164.10739
164.10739
exponential_interest
0
sinusoid
1
16
240
63
0.0835
Calculate the compound interest: $100 invested at 8.35% annual rate for 6 years. FINAL:
161.798129
161.798129
exponential_interest
1
sinusoid
1
1
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
1
0
1
0.080686
Calculate the compound interest: $200 invested at 8.068611998% annual rate for 5 years. FINAL:
294.800261
294.800261
exponential_interest
1
sinusoid
1
1
0
2
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
1
0
3
0.082032
Calculate the compound interest: $200 invested at 8.203199274% annual rate for 5 years. FINAL:
296.640541
296.640541
exponential_interest
1
sinusoid
1
1
0
4
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
1
0
5
0.0833
Calculate the compound interest: $200 invested at 8.329977716% annual rate for 5 years. FINAL:
298.382443
298.382443
exponential_interest
1
sinusoid
1
1
0
6
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
1
0
7
0.084441
Calculate the compound interest: $200 invested at 8.444075299% annual rate for 5 years. FINAL:
299.957099
299.957099
exponential_interest
1
sinusoid
1
1
0
8
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
1
0
9
0.085411
Calculate the compound interest: $200 invested at 8.541107317% annual rate for 5 years. FINAL:
301.301459
301.301459
exponential_interest
1
sinusoid
1
1
0
10
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
1
0
11
0.086173
Calculate the compound interest: $200 invested at 8.617344885% annual rate for 5 years. FINAL:
302.361094
302.361094
exponential_interest
1
sinusoid
1
1
0
12
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
1
0
13
0.086699
Calculate the compound interest: $200 invested at 8.669858235% annual rate for 5 years. FINAL:
303.092715
303.092715
exponential_interest
1
sinusoid
1
1
0
14
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
1
0
15
0.086966
Calculate the compound interest: $200 invested at 8.696629309% annual rate for 5 years. FINAL:
303.466237
303.466237
exponential_interest
1
sinusoid
1
1
0
16
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
1
0
17
0.086966
Calculate the compound interest: $200 invested at 8.696629309% annual rate for 5 years. FINAL:
303.466237
303.466237
exponential_interest
1
sinusoid
1
1
0
18
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
1
0
19
0.086699
Calculate the compound interest: $200 invested at 8.669858235% annual rate for 5 years. FINAL:
303.092715
303.092715
exponential_interest
1
sinusoid
1
1
0
20
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
1
0
21
0.086173
Calculate the compound interest: $200 invested at 8.617344885% annual rate for 5 years. FINAL:
302.361094
302.361094
exponential_interest
1
sinusoid
1
1
0
22
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
1
0
23
0.085411
Calculate the compound interest: $200 invested at 8.541107317% annual rate for 5 years. FINAL:
301.301459
301.301459
exponential_interest
1
sinusoid
1
1
0
24
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
1
0
25
0.084441
Calculate the compound interest: $200 invested at 8.444075299% annual rate for 5 years. FINAL:
299.957099
299.957099
exponential_interest
1
sinusoid
1
1
0
26
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
1
0
27
0.0833
Calculate the compound interest: $200 invested at 8.329977716% annual rate for 5 years. FINAL:
298.382443
298.382443
exponential_interest
1
sinusoid
1
1
0
28
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
1
0
29
0.082032
Calculate the compound interest: $200 invested at 8.203199274% annual rate for 5 years. FINAL:
296.640541
296.640541
exponential_interest
1
sinusoid
1
1
0
30
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
1
0
31
0.080686
Calculate the compound interest: $200 invested at 8.068611998% annual rate for 5 years. FINAL:
294.800261
294.800261
exponential_interest
1
sinusoid
1
1
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
1
0
33
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
1
0
34
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
35
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
36
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
37
0.0767
Calculate the compound interest: $200 invested at 7.670022284% annual rate for 5 years. FINAL:
289.403654
289.403654
exponential_interest
1
sinusoid
1
1
0
38
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
1
0
39
0.075559
Calculate the compound interest: $200 invested at 7.555924701% annual rate for 5 years. FINAL:
287.8735
287.8735
exponential_interest
1
sinusoid
1
1
0
40
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
1
0
41
0.074589
Calculate the compound interest: $200 invested at 7.458892683% annual rate for 5 years. FINAL:
286.577309
286.577309
exponential_interest
1
sinusoid
1
1
0
42
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
1
0
43
0.073827
Calculate the compound interest: $200 invested at 7.382655115% annual rate for 5 years. FINAL:
285.562178
285.562178
exponential_interest
1
sinusoid
1
1
0
44
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
1
0
45
0.073301
Calculate the compound interest: $200 invested at 7.330141765% annual rate for 5 years. FINAL:
284.864618
284.864618
exponential_interest
1
sinusoid
1
1
0
46
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
1
0
47
0.073034
Calculate the compound interest: $200 invested at 7.303370691% annual rate for 5 years. FINAL:
284.50953
284.50953
exponential_interest
1
sinusoid
1
1
0
48
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
1
0
49
0.073034
Calculate the compound interest: $200 invested at 7.303370691% annual rate for 5 years. FINAL:
284.50953
284.50953
exponential_interest
1
sinusoid
1
1
0
50
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
1
0
51
0.073301
Calculate the compound interest: $200 invested at 7.330141765% annual rate for 5 years. FINAL:
284.864618
284.864618
exponential_interest
1
sinusoid
1
1
0
52
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
1
0
53
0.073827
Calculate the compound interest: $200 invested at 7.382655115% annual rate for 5 years. FINAL:
285.562178
285.562178
exponential_interest
1
sinusoid
1
1
0
54
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
1
0
55
0.074589
Calculate the compound interest: $200 invested at 7.458892683% annual rate for 5 years. FINAL:
286.577309
286.577309
exponential_interest
1
sinusoid
1
1
0
56
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
1
0
57
0.075559
Calculate the compound interest: $200 invested at 7.555924701% annual rate for 5 years. FINAL:
287.8735
287.8735
exponential_interest
1
sinusoid
1
1
0
58
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
1
0
59
0.0767
Calculate the compound interest: $200 invested at 7.670022284% annual rate for 5 years. FINAL:
289.403654
289.403654