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
chirp
1
1.234375
null
4
0.081366
Calculate the compound interest: $200 invested at 8.136563225% annual rate for 5 years. FINAL:
295.728248
295.728248
exponential_interest
1
chirp
1
1.292969
null
5
0.073043
Calculate the compound interest: $200 invested at 7.304265121% annual rate for 5 years. FINAL:
284.521388
284.521388
exponential_interest
1
chirp
1
1.351563
null
6
0.082358
Calculate the compound interest: $200 invested at 8.235822897% annual rate for 5 years. FINAL:
297.088002
297.088002
exponential_interest
1
chirp
1
1.410156
null
7
0.082758
Calculate the compound interest: $200 invested at 8.275794428% annual rate for 5 years. FINAL:
297.63698
297.63698
exponential_interest
1
chirp
1
1.46875
null
8
0.07505
Calculate the compound interest: $200 invested at 7.505025253% annual rate for 5 years. FINAL:
287.192982
287.192982
exponential_interest
1
chirp
1
1.527344
null
9
0.08501
Calculate the compound interest: $200 invested at 8.501011578% annual rate for 5 years. FINAL:
300.745357
300.745357
exponential_interest
1
chirp
1
1.585938
null
10
0.077007
Calculate the compound interest: $200 invested at 7.700711435% annual rate for 5 years. FINAL:
289.816332
289.816332
exponential_interest
1
chirp
1
1.644531
null
11
0.07805
Calculate the compound interest: $200 invested at 7.805036217% annual rate for 5 years. FINAL:
291.222714
291.222714
exponential_interest
1
chirp
1
1.703125
null
12
0.086865
Calculate the compound interest: $200 invested at 8.686549696% annual rate for 5 years. FINAL:
303.325559
303.325559
exponential_interest
1
chirp
1
1.761719
null
13
0.077886
Calculate the compound interest: $200 invested at 7.788595835% annual rate for 5 years. FINAL:
291.000723
291.000723
exponential_interest
1
chirp
1
1.820313
null
14
0.073008
Calculate the compound interest: $200 invested at 7.300843181% annual rate for 5 years. FINAL:
284.476024
284.476024
exponential_interest
1
chirp
1
1.878906
null
15
0.076183
Calculate the compound interest: $200 invested at 7.618272508% annual rate for 5 years. FINAL:
288.708837
288.708837
exponential_interest
1
chirp
1
1.9375
null
16
0.08
Calculate the compound interest: $200 invested at 8% annual rate for 5 years. FINAL:
293.865615
293.865615
exponential_interest
1
chirp
1
1.996094
null
17
0.08145
Calculate the compound interest: $200 invested at 8.144977963% annual rate for 5 years. FINAL:
295.843327
295.843327
exponential_interest
1
chirp
1
2.054688
null
18
0.080343
Calculate the compound interest: $200 invested at 8.034347372% annual rate for 5 years. FINAL:
294.333205
294.333205
exponential_interest
1
chirp
1
2.113281
null
19
0.076776
Calculate the compound interest: $200 invested at 7.677622902% annual rate for 5 years. FINAL:
289.505816
289.505816
exponential_interest
1
chirp
1
2.171875
null
20
0.073135
Calculate the compound interest: $200 invested at 7.313450304% annual rate for 5 years. FINAL:
284.643183
284.643183
exponential_interest
1
chirp
1
2.230469
null
21
0.076625
Calculate the compound interest: $200 invested at 7.66247136% annual rate for 5 years. FINAL:
289.302189
289.302189
exponential_interest
1
chirp
1
2.289063
null
22
0.086328
Calculate the compound interest: $200 invested at 8.632792505% annual rate for 5 years. FINAL:
302.576165
302.576165
exponential_interest
1
chirp
1
2.347656
null
23
0.080086
Calculate the compound interest: $200 invested at 8.008590077% annual rate for 5 years. FINAL:
293.982501
293.982501
exponential_interest
1
chirp
1
2.40625
null
24
0.07505
Calculate the compound interest: $200 invested at 7.505025253% annual rate for 5 years. FINAL:
287.192982
287.192982
exponential_interest
1
chirp
1
2.464844
null
25
0.0865
Calculate the compound interest: $200 invested at 8.649954256% annual rate for 5 years. FINAL:
302.815244
302.815244
exponential_interest
1
chirp
1
2.523438
null
26
0.073409
Calculate the compound interest: $200 invested at 7.340919154% annual rate for 5 years. FINAL:
285.007668
285.007668
exponential_interest
1
chirp
1
2.582031
null
27
0.085465
Calculate the compound interest: $200 invested at 8.54651606% annual rate for 5 years. FINAL:
301.376538
301.376538
exponential_interest
1
chirp
1
2.640625
null
28
0.078634
Calculate the compound interest: $200 invested at 7.863436775% annual rate for 5 years. FINAL:
292.01238
292.01238
exponential_interest
1
chirp
1
2.699219
null
29
0.074644
Calculate the compound interest: $200 invested at 7.464382914% annual rate for 5 years. FINAL:
286.650525
286.650525
exponential_interest
1
chirp
1
2.757813
null
30
0.085187
Calculate the compound interest: $200 invested at 8.518665788% annual rate for 5 years. FINAL:
300.990108
300.990108
exponential_interest
1
chirp
1
2.816406
null
31
0.085772
Calculate the compound interest: $200 invested at 8.577212512% annual rate for 5 years. FINAL:
301.802918
301.802918
exponential_interest
1
chirp
1
2.875
null
32
0.08
Calculate the compound interest: $200 invested at 8% annual rate for 5 years. FINAL:
293.865615
293.865615
exponential_interest
1
chirp
1
2.933594
null
33
0.07604
Calculate the compound interest: $200 invested at 7.603987732% annual rate for 5 years. FINAL:
288.517279
288.517279
exponential_interest
1
chirp
1
2.992188
null
34
0.074813
Calculate the compound interest: $200 invested at 7.481334212% annual rate for 5 years. FINAL:
286.876676
286.876676
exponential_interest
1
chirp
1
3.050781
null
35
0.075493
Calculate the compound interest: $200 invested at 7.54931792% annual rate for 5 years. FINAL:
287.785095
287.785095
exponential_interest
1
chirp
1
3.109375
null
36
0.078634
Calculate the compound interest: $200 invested at 7.863436775% annual rate for 5 years. FINAL:
292.01238
292.01238
exponential_interest
1
chirp
1
3.167969
null
37
0.084374
Calculate the compound interest: $200 invested at 8.437401642% annual rate for 5 years. FINAL:
299.864814
299.864814
exponential_interest
1
chirp
1
3.226563
null
38
0.086591
Calculate the compound interest: $200 invested at 8.659080846% annual rate for 5 years. FINAL:
302.942448
302.942448
exponential_interest
1
chirp
1
3.285156
null
39
0.077401
Calculate the compound interest: $200 invested at 7.740077964% annual rate for 5 years. FINAL:
290.346385
290.346385
exponential_interest
1
chirp
1
3.34375
null
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
chirp
1
3.402344
null
41
0.086999
Calculate the compound interest: $200 invested at 8.699947291% annual rate for 5 years. FINAL:
303.512557
303.512557
exponential_interest
1
chirp
1
3.460938
null
42
0.073672
Calculate the compound interest: $200 invested at 7.367207495% annual rate for 5 years. FINAL:
285.356838
285.356838
exponential_interest
1
chirp
1
3.519531
null
43
0.086132
Calculate the compound interest: $200 invested at 8.613249066% annual rate for 5 years. FINAL:
302.30409
302.30409
exponential_interest
1
chirp
1
3.578125
null
44
0.073135
Calculate the compound interest: $200 invested at 7.313450304% annual rate for 5 years. FINAL:
284.643183
284.643183
exponential_interest
1
chirp
1
3.636719
null
45
0.086213
Calculate the compound interest: $200 invested at 8.621347734% annual rate for 5 years. FINAL:
302.416812
302.416812
exponential_interest
1
chirp
1
3.695313
null
46
0.079657
Calculate the compound interest: $200 invested at 7.965652628% annual rate for 5 years. FINAL:
293.39862
293.39862
exponential_interest
1
chirp
1
3.753906
null
47
0.073152
Calculate the compound interest: $200 invested at 7.31517784% annual rate for 5 years. FINAL:
284.666095
284.666095
exponential_interest
1
chirp
1
3.8125
null
48
0.08
Calculate the compound interest: $200 invested at 8% annual rate for 5 years. FINAL:
293.865615
293.865615
exponential_interest
1
chirp
1
3.871094
null
49
0.085868
Calculate the compound interest: $200 invested at 8.586757294% annual rate for 5 years. FINAL:
301.935596
301.935596
exponential_interest
1
chirp
1
3.929688
null
50
0.086992
Calculate the compound interest: $200 invested at 8.699156819% annual rate for 5 years. FINAL:
303.501521
303.501521
exponential_interest
1
chirp
1
3.988281
null
51
0.086673
Calculate the compound interest: $200 invested at 8.667314228% annual rate for 5 years. FINAL:
303.057239
303.057239
exponential_interest
1
chirp
1
4.046875
null
52
0.086865
Calculate the compound interest: $200 invested at 8.686549696% annual rate for 5 years. FINAL:
303.325559
303.325559
exponential_interest
1
chirp
1
4.105469
null
53
0.086723
Calculate the compound interest: $200 invested at 8.672301364% annual rate for 5 years. FINAL:
303.126787
303.126787
exponential_interest
1
chirp
1
4.164063
null
54
0.082993
Calculate the compound interest: $200 invested at 8.299288565% annual rate for 5 years. FINAL:
297.960033
297.960033
exponential_interest
1
chirp
1
4.222656
null
55
0.075111
Calculate the compound interest: $200 invested at 7.511136625% annual rate for 5 years. FINAL:
287.274622
287.274622
exponential_interest
1
chirp
1
4.28125
null
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
chirp
1
4.339844
null
57
0.086434
Calculate the compound interest: $200 invested at 8.643379696% annual rate for 5 years. FINAL:
302.723637
302.723637
exponential_interest
1
chirp
1
4.398438
null
58
0.077642
Calculate the compound interest: $200 invested at 7.764177103% annual rate for 5 years. FINAL:
290.671251
290.671251
exponential_interest
1
chirp
1
4.457031
null
59
0.079228
Calculate the compound interest: $200 invested at 7.922844455% annual rate for 5 years. FINAL:
292.817421
292.817421
exponential_interest
1
chirp
1
4.515625
null
60
0.081366
Calculate the compound interest: $200 invested at 8.136563225% annual rate for 5 years. FINAL:
295.728248
295.728248
exponential_interest
1
chirp
1
4.574219
null
61
0.080601
Calculate the compound interest: $200 invested at 8.060058119% annual rate for 5 years. FINAL:
294.683609
294.683609
exponential_interest
1
chirp
1
4.632813
null
62
0.075299
Calculate the compound interest: $200 invested at 7.529908732% annual rate for 5 years. FINAL:
287.525509
287.525509
exponential_interest
1
chirp
1
4.691406
null
63
0.086882
Calculate the compound interest: $200 invested at 8.688173841% annual rate for 5 years. FINAL:
303.348223
303.348223
exponential_interest
1
chirp
1
4.75
null
64
0.08
Calculate the compound interest: $200 invested at 8% annual rate for 5 years. FINAL:
293.865615
293.865615
exponential_interest
1
chirp
1
4.808594
null
65
0.073118
Calculate the compound interest: $200 invested at 7.311826159% annual rate for 5 years. FINAL:
284.621644
284.621644
exponential_interest
1
chirp
1
4.867188
null
66
0.075299
Calculate the compound interest: $200 invested at 7.529908732% annual rate for 5 years. FINAL:
287.525509
287.525509
exponential_interest
1
chirp
1
4.925781
null
67
0.079399
Calculate the compound interest: $200 invested at 7.939941881% annual rate for 5 years. FINAL:
293.04944
293.04944
exponential_interest
1
chirp
1
4.984375
null
68
0.081366
Calculate the compound interest: $200 invested at 8.136563225% annual rate for 5 years. FINAL:
295.728248
295.728248
exponential_interest
1
chirp
1
5.042969
null
69
0.080772
Calculate the compound interest: $200 invested at 8.077155545% annual rate for 5 years. FINAL:
294.916809
294.916809
exponential_interest
1
chirp
1
5.101563
null
70
0.077642
Calculate the compound interest: $200 invested at 7.764177103% annual rate for 5 years. FINAL:
290.671251
290.671251
exponential_interest
1
chirp
1
5.160156
null
71
0.073566
Calculate the compound interest: $200 invested at 7.356620304% annual rate for 5 years. FINAL:
285.216175
285.216175
exponential_interest
1
chirp
1
5.21875
null
72
0.07505
Calculate the compound interest: $200 invested at 7.505025253% annual rate for 5 years. FINAL:
287.192982
287.192982
exponential_interest
1
chirp
1
5.277344
null
73
0.084889
Calculate the compound interest: $200 invested at 8.488863375% annual rate for 5 years. FINAL:
300.577032
300.577032
exponential_interest
1
chirp
1
5.335938
null
74
0.082993
Calculate the compound interest: $200 invested at 8.299288565% annual rate for 5 years. FINAL:
297.960033
297.960033
exponential_interest
1
chirp
1
5.394531
null
75
0.073277
Calculate the compound interest: $200 invested at 7.327698636% annual rate for 5 years. FINAL:
284.832198
284.832198
exponential_interest
1
chirp
1
5.453125
null
76
0.086865
Calculate the compound interest: $200 invested at 8.686549696% annual rate for 5 years. FINAL:
303.325559
303.325559
exponential_interest
1
chirp
1
5.511719
null
77
0.073327
Calculate the compound interest: $200 invested at 7.332685772% annual rate for 5 years. FINAL:
284.89838
284.89838
exponential_interest
1
chirp
1
5.570313
null
78
0.086992
Calculate the compound interest: $200 invested at 8.699156819% annual rate for 5 years. FINAL:
303.501521
303.501521
exponential_interest
1
chirp
1
5.628906
null
79
0.074132
Calculate the compound interest: $200 invested at 7.413242706% annual rate for 5 years. FINAL:
285.969117
285.969117
exponential_interest
1
chirp
1
5.6875
null
80
0.08
Calculate the compound interest: $200 invested at 8% annual rate for 5 years. FINAL:
293.865615
293.865615
exponential_interest
1
chirp
1
5.746094
null
81
0.086848
Calculate the compound interest: $200 invested at 8.68482216% annual rate for 5 years. FINAL:
303.301453
303.301453
exponential_interest
1
chirp
1
5.804688
null
82
0.079657
Calculate the compound interest: $200 invested at 7.965652628% annual rate for 5 years. FINAL:
293.39862
293.39862
exponential_interest
1
chirp
1
5.863281
null
83
0.073787
Calculate the compound interest: $200 invested at 7.378652266% annual rate for 5 years. FINAL:
285.508958
285.508958
exponential_interest
1
chirp
1
5.921875
null
84
0.073135
Calculate the compound interest: $200 invested at 7.313450304% annual rate for 5 years. FINAL:
284.643183
284.643183
exponential_interest
1
chirp
1
5.980469
null
85
0.073868
Calculate the compound interest: $200 invested at 7.386750934% annual rate for 5 years. FINAL:
285.616642
285.616642
exponential_interest
1
chirp
1
6.039063
null
86
0.073672
Calculate the compound interest: $200 invested at 7.367207495% annual rate for 5 years. FINAL:
285.356838
285.356838
exponential_interest
1
chirp
1
6.097656
null
87
0.073001
Calculate the compound interest: $200 invested at 7.300052709% annual rate for 5 years. FINAL:
284.465546
284.465546
exponential_interest
1
chirp
1
6.15625
null
88
0.07505
Calculate the compound interest: $200 invested at 7.505025253% annual rate for 5 years. FINAL:
287.192982
287.192982
exponential_interest
1
chirp
1
6.214844
null
89
0.082599
Calculate the compound interest: $200 invested at 8.259922036% annual rate for 5 years. FINAL:
297.418888
297.418888
exponential_interest
1
chirp
1
6.273438
null
90
0.086591
Calculate the compound interest: $200 invested at 8.659080846% annual rate for 5 years. FINAL:
302.942448
302.942448
exponential_interest
1
chirp
1
6.332031
null
91
0.075626
Calculate the compound interest: $200 invested at 7.562598358% annual rate for 5 years. FINAL:
287.962821
287.962821
exponential_interest
1
chirp
1
6.390625
null
92
0.078634
Calculate the compound interest: $200 invested at 7.863436775% annual rate for 5 years. FINAL:
292.01238
292.01238
exponential_interest
1
chirp
1
6.449219
null
93
0.084507
Calculate the compound interest: $200 invested at 8.45068208% annual rate for 5 years. FINAL:
300.048482
300.048482
exponential_interest
1
chirp
1
6.507813
null
94
0.074813
Calculate the compound interest: $200 invested at 7.481334212% annual rate for 5 years. FINAL:
286.876676
286.876676
exponential_interest
1
chirp
1
6.566406
null
95
0.08396
Calculate the compound interest: $200 invested at 8.396012268% annual rate for 5 years. FINAL:
299.292975
299.292975
exponential_interest
1
chirp
1
6.625
null
96
0.08
Calculate the compound interest: $200 invested at 8% annual rate for 5 years. FINAL:
293.865615
293.865615
exponential_interest
1
chirp
1
6.683594
null
97
0.074228
Calculate the compound interest: $200 invested at 7.422787488% annual rate for 5 years. FINAL:
286.096196
286.096196
exponential_interest
1
chirp
1
6.742188
null
98
0.085187
Calculate the compound interest: $200 invested at 8.518665788% annual rate for 5 years. FINAL:
300.990108
300.990108
exponential_interest
1
chirp
1
6.800781
null
99
0.085356
Calculate the compound interest: $200 invested at 8.535617086% annual rate for 5 years. FINAL:
301.225265
301.225265
exponential_interest
1
chirp
1
6.859375
null
100
0.078634
Calculate the compound interest: $200 invested at 7.863436775% annual rate for 5 years. FINAL:
292.01238
292.01238
exponential_interest
1
chirp
1
6.917969
null
101
0.074535
Calculate the compound interest: $200 invested at 7.45348394% annual rate for 5 years. FINAL:
286.505195
286.505195
exponential_interest
1
chirp
1
6.976563
null
102
0.073409
Calculate the compound interest: $200 invested at 7.340919154% annual rate for 5 years. FINAL:
285.007668
285.007668
exponential_interest
1
chirp
1
7.035156
null
103
0.0735
Calculate the compound interest: $200 invested at 7.350045744% annual rate for 5 years. FINAL:
285.128852
285.128852