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
1
240
0
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
1
240
1
0.076812
Calculate the compound interest: $200 invested at 7.681197661% annual rate for 5 years. FINAL:
289.553875
289.553875
exponential_interest
1
sinusoid
0.5
1
240
2
0.076686
Calculate the compound interest: $200 invested at 7.668574455% annual rate for 5 years. FINAL:
289.384197
289.384197
exponential_interest
1
sinusoid
0.5
1
240
3
0.076591
Calculate the compound interest: $200 invested at 7.659143057% annual rate for 5 years. FINAL:
289.257474
289.257474
exponential_interest
1
sinusoid
0.5
1
240
4
0.07653
Calculate the compound interest: $200 invested at 7.652994299% annual rate for 5 years. FINAL:
289.174881
289.174881
exponential_interest
1
sinusoid
0.5
1
240
5
0.076502
Calculate the compound interest: $200 invested at 7.650187394% annual rate for 5 years. FINAL:
289.137184
289.137184
exponential_interest
1
sinusoid
0.5
1
240
6
0.076507
Calculate the compound interest: $200 invested at 7.650749377% annual rate for 5 years. FINAL:
289.144731
289.144731
exponential_interest
1
sinusoid
0.5
1
240
7
0.076547
Calculate the compound interest: $200 invested at 7.654674834% annual rate for 5 years. FINAL:
289.197453
289.197453
exponential_interest
1
sinusoid
0.5
1
240
8
0.076619
Calculate the compound interest: $200 invested at 7.661925961% annual rate for 5 years. FINAL:
289.294861
289.294861
exponential_interest
1
sinusoid
0.5
1
240
9
0.076724
Calculate the compound interest: $200 invested at 7.672432926% annual rate for 5 years. FINAL:
289.436053
289.436053
exponential_interest
1
sinusoid
0.5
1
240
10
0.076861
Calculate the compound interest: $200 invested at 7.68609454% annual rate for 5 years. FINAL:
289.61972
289.61972
exponential_interest
1
sinusoid
0.5
1
240
11
0.077028
Calculate the compound interest: $200 invested at 7.702779236% annual rate for 5 years. FINAL:
289.844155
289.844155
exponential_interest
1
sinusoid
0.5
1
240
12
0.077223
Calculate the compound interest: $200 invested at 7.722326331% annual rate for 5 years. FINAL:
290.107271
290.107271
exponential_interest
1
sinusoid
0.5
1
240
13
0.077445
Calculate the compound interest: $200 invested at 7.744547575% annual rate for 5 years. FINAL:
290.406615
290.406615
exponential_interest
1
sinusoid
0.5
1
240
14
0.077692
Calculate the compound interest: $200 invested at 7.769228965% annual rate for 5 years. FINAL:
290.73939
290.73939
exponential_interest
1
sinusoid
0.5
1
240
15
0.077961
Calculate the compound interest: $200 invested at 7.796132806% annual rate for 5 years. FINAL:
291.102476
291.102476
exponential_interest
1
sinusoid
0.5
1
240
16
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
1
240
17
0.078556
Calculate the compound interest: $200 invested at 7.85555254% annual rate for 5 years. FINAL:
291.905673
291.905673
exponential_interest
1
sinusoid
0.5
1
240
18
0.078875
Calculate the compound interest: $200 invested at 7.887496187% annual rate for 5 years. FINAL:
292.338199
292.338199
exponential_interest
1
sinusoid
0.5
1
240
19
0.079205
Calculate the compound interest: $200 invested at 7.920523308% annual rate for 5 years. FINAL:
292.785934
292.785934
exponential_interest
1
sinusoid
0.5
1
240
20
0.079543
Calculate the compound interest: $200 invested at 7.954315833% annual rate for 5 years. FINAL:
293.244613
293.244613
exponential_interest
1
sinusoid
0.5
1
240
21
0.079885
Calculate the compound interest: $200 invested at 7.988548321% annual rate for 5 years. FINAL:
293.70985
293.70985
exponential_interest
1
sinusoid
0.5
1
240
22
0.080229
Calculate the compound interest: $200 invested at 8.022891095% annual rate for 5 years. FINAL:
294.177178
294.177178
exponential_interest
1
sinusoid
0.5
1
240
23
0.08057
Calculate the compound interest: $200 invested at 8.057013416% annual rate for 5 years. FINAL:
294.642096
294.642096
exponential_interest
1
sinusoid
0.5
1
240
24
0.080906
Calculate the compound interest: $200 invested at 8.090586666% annual rate for 5 years. FINAL:
295.100106
295.100106
exponential_interest
1
sinusoid
0.5
1
240
25
0.081233
Calculate the compound interest: $200 invested at 8.123287517% annual rate for 5 years. FINAL:
295.546762
295.546762
exponential_interest
1
sinusoid
0.5
1
240
26
0.081548
Calculate the compound interest: $200 invested at 8.154801042% annual rate for 5 years. FINAL:
295.977712
295.977712
exponential_interest
1
sinusoid
0.5
1
240
27
0.081848
Calculate the compound interest: $200 invested at 8.184823748% annual rate for 5 years. FINAL:
296.388743
296.388743
exponential_interest
1
sinusoid
0.5
1
240
28
0.082131
Calculate the compound interest: $200 invested at 8.2130665% annual rate for 5 years. FINAL:
296.775822
296.775822
exponential_interest
1
sinusoid
0.5
1
240
29
0.082393
Calculate the compound interest: $200 invested at 8.239257306% annual rate for 5 years. FINAL:
297.135139
297.135139
exponential_interest
1
sinusoid
0.5
1
240
30
0.082631
Calculate the compound interest: $200 invested at 8.263143933% annual rate for 5 years. FINAL:
297.463148
297.463148
exponential_interest
1
sinusoid
0.5
1
240
31
0.082845
Calculate the compound interest: $200 invested at 8.28449634% annual rate for 5 years. FINAL:
297.756602
297.756602
exponential_interest
1
sinusoid
0.5
1
240
32
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
1
240
33
0.083188
Calculate the compound interest: $200 invested at 8.318802339% annual rate for 5 years. FINAL:
298.228568
298.228568
exponential_interest
1
sinusoid
0.5
1
240
34
0.083314
Calculate the compound interest: $200 invested at 8.331425545% annual rate for 5 years. FINAL:
298.402382
298.402382
exponential_interest
1
sinusoid
0.5
1
240
35
0.083409
Calculate the compound interest: $200 invested at 8.340856943% annual rate for 5 years. FINAL:
298.532301
298.532301
exponential_interest
1
sinusoid
0.5
1
240
36
0.08347
Calculate the compound interest: $200 invested at 8.347005701% annual rate for 5 years. FINAL:
298.617024
298.617024
exponential_interest
1
sinusoid
0.5
1
240
37
0.083498
Calculate the compound interest: $200 invested at 8.349812606% annual rate for 5 years. FINAL:
298.655707
298.655707
exponential_interest
1
sinusoid
0.5
1
240
38
0.083493
Calculate the compound interest: $200 invested at 8.349250623% annual rate for 5 years. FINAL:
298.647962
298.647962
exponential_interest
1
sinusoid
0.5
1
240
39
0.083453
Calculate the compound interest: $200 invested at 8.345325166% annual rate for 5 years. FINAL:
298.593866
298.593866
exponential_interest
1
sinusoid
0.5
1
240
40
0.083381
Calculate the compound interest: $200 invested at 8.338074039% annual rate for 5 years. FINAL:
298.493961
298.493961
exponential_interest
1
sinusoid
0.5
1
240
41
0.083276
Calculate the compound interest: $200 invested at 8.327567074% annual rate for 5 years. FINAL:
298.349245
298.349245
exponential_interest
1
sinusoid
0.5
1
240
42
0.083139
Calculate the compound interest: $200 invested at 8.31390546% annual rate for 5 years. FINAL:
298.161162
298.161162
exponential_interest
1
sinusoid
0.5
1
240
43
0.082972
Calculate the compound interest: $200 invested at 8.297220764% annual rate for 5 years. FINAL:
297.931589
297.931589
exponential_interest
1
sinusoid
0.5
1
240
44
0.082777
Calculate the compound interest: $200 invested at 8.277673669% annual rate for 5 years. FINAL:
297.66281
297.66281
exponential_interest
1
sinusoid
0.5
1
240
45
0.082555
Calculate the compound interest: $200 invested at 8.255452425% annual rate for 5 years. FINAL:
297.357497
297.357497
exponential_interest
1
sinusoid
0.5
1
240
46
0.082308
Calculate the compound interest: $200 invested at 8.230771035% annual rate for 5 years. FINAL:
297.018676
297.018676
exponential_interest
1
sinusoid
0.5
1
240
47
0.082039
Calculate the compound interest: $200 invested at 8.203867194% annual rate for 5 years. FINAL:
296.649697
296.649697
exponential_interest
1
sinusoid
0.5
1
240
48
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
1
240
49
0.081444
Calculate the compound interest: $200 invested at 8.14444746% annual rate for 5 years. FINAL:
295.836071
295.836071
exponential_interest
1
sinusoid
0.5
1
240
50
0.081125
Calculate the compound interest: $200 invested at 8.112503813% annual rate for 5 years. FINAL:
295.399409
295.399409
exponential_interest
1
sinusoid
0.5
1
240
51
0.080795
Calculate the compound interest: $200 invested at 8.079476692% annual rate for 5 years. FINAL:
294.94848
294.94848
exponential_interest
1
sinusoid
0.5
1
240
52
0.080457
Calculate the compound interest: $200 invested at 8.045684167% annual rate for 5 years. FINAL:
294.487669
294.487669
exponential_interest
1
sinusoid
0.5
1
240
53
0.080115
Calculate the compound interest: $200 invested at 8.011451679% annual rate for 5 years. FINAL:
294.021447
294.021447
exponential_interest
1
sinusoid
0.5
1
240
54
0.079771
Calculate the compound interest: $200 invested at 7.977108905% annual rate for 5 years. FINAL:
293.554317
293.554317
exponential_interest
1
sinusoid
0.5
1
240
55
0.07943
Calculate the compound interest: $200 invested at 7.942986584% annual rate for 5 years. FINAL:
293.090773
293.090773
exponential_interest
1
sinusoid
0.5
1
240
56
0.079094
Calculate the compound interest: $200 invested at 7.909413334% annual rate for 5 years. FINAL:
292.635259
292.635259
exponential_interest
1
sinusoid
0.5
1
240
57
0.078767
Calculate the compound interest: $200 invested at 7.876712483% annual rate for 5 years. FINAL:
292.192127
292.192127
exponential_interest
1
sinusoid
0.5
1
240
58
0.078452
Calculate the compound interest: $200 invested at 7.845198958% annual rate for 5 years. FINAL:
291.765593
291.765593
exponential_interest
1
sinusoid
0.5
1
240
59
0.078152
Calculate the compound interest: $200 invested at 7.815176252% annual rate for 5 years. FINAL:
291.3597
291.3597
exponential_interest
1
sinusoid
0.5
1
240
60
0.077869
Calculate the compound interest: $200 invested at 7.7869335% annual rate for 5 years. FINAL:
290.978284
290.978284
exponential_interest
1
sinusoid
0.5
1
240
61
0.077607
Calculate the compound interest: $200 invested at 7.760742694% annual rate for 5 years. FINAL:
290.624936
290.624936
exponential_interest
1
sinusoid
0.5
1
240
62
0.077369
Calculate the compound interest: $200 invested at 7.736856067% annual rate for 5 years. FINAL:
290.302974
290.302974
exponential_interest
1
sinusoid
0.5
1
240
63
0.077155
Calculate the compound interest: $200 invested at 7.71550366% annual rate for 5 years. FINAL:
290.015412
290.015412
exponential_interest
1
sinusoid
0.5
2
240
0
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
2
240
1
0.076686
Calculate the compound interest: $200 invested at 7.668574455% annual rate for 5 years. FINAL:
289.384197
289.384197
exponential_interest
1
sinusoid
0.5
2
240
2
0.07653
Calculate the compound interest: $200 invested at 7.652994299% annual rate for 5 years. FINAL:
289.174881
289.174881
exponential_interest
1
sinusoid
0.5
2
240
3
0.076507
Calculate the compound interest: $200 invested at 7.650749377% annual rate for 5 years. FINAL:
289.144731
289.144731
exponential_interest
1
sinusoid
0.5
2
240
4
0.076619
Calculate the compound interest: $200 invested at 7.661925961% annual rate for 5 years. FINAL:
289.294861
289.294861
exponential_interest
1
sinusoid
0.5
2
240
5
0.076861
Calculate the compound interest: $200 invested at 7.68609454% annual rate for 5 years. FINAL:
289.61972
289.61972
exponential_interest
1
sinusoid
0.5
2
240
6
0.077223
Calculate the compound interest: $200 invested at 7.722326331% annual rate for 5 years. FINAL:
290.107271
290.107271
exponential_interest
1
sinusoid
0.5
2
240
7
0.077692
Calculate the compound interest: $200 invested at 7.769228965% annual rate for 5 years. FINAL:
290.73939
290.73939
exponential_interest
1
sinusoid
0.5
2
240
8
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
2
240
9
0.078875
Calculate the compound interest: $200 invested at 7.887496187% annual rate for 5 years. FINAL:
292.338199
292.338199
exponential_interest
1
sinusoid
0.5
2
240
10
0.079543
Calculate the compound interest: $200 invested at 7.954315833% annual rate for 5 years. FINAL:
293.244613
293.244613
exponential_interest
1
sinusoid
0.5
2
240
11
0.080229
Calculate the compound interest: $200 invested at 8.022891095% annual rate for 5 years. FINAL:
294.177178
294.177178
exponential_interest
1
sinusoid
0.5
2
240
12
0.080906
Calculate the compound interest: $200 invested at 8.090586666% annual rate for 5 years. FINAL:
295.100106
295.100106
exponential_interest
1
sinusoid
0.5
2
240
13
0.081548
Calculate the compound interest: $200 invested at 8.154801042% annual rate for 5 years. FINAL:
295.977712
295.977712
exponential_interest
1
sinusoid
0.5
2
240
14
0.082131
Calculate the compound interest: $200 invested at 8.2130665% annual rate for 5 years. FINAL:
296.775822
296.775822
exponential_interest
1
sinusoid
0.5
2
240
15
0.082631
Calculate the compound interest: $200 invested at 8.263143933% annual rate for 5 years. FINAL:
297.463148
297.463148
exponential_interest
1
sinusoid
0.5
2
240
16
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
2
240
17
0.083314
Calculate the compound interest: $200 invested at 8.331425545% annual rate for 5 years. FINAL:
298.402382
298.402382
exponential_interest
1
sinusoid
0.5
2
240
18
0.08347
Calculate the compound interest: $200 invested at 8.347005701% annual rate for 5 years. FINAL:
298.617024
298.617024
exponential_interest
1
sinusoid
0.5
2
240
19
0.083493
Calculate the compound interest: $200 invested at 8.349250623% annual rate for 5 years. FINAL:
298.647962
298.647962
exponential_interest
1
sinusoid
0.5
2
240
20
0.083381
Calculate the compound interest: $200 invested at 8.338074039% annual rate for 5 years. FINAL:
298.493961
298.493961
exponential_interest
1
sinusoid
0.5
2
240
21
0.083139
Calculate the compound interest: $200 invested at 8.31390546% annual rate for 5 years. FINAL:
298.161162
298.161162
exponential_interest
1
sinusoid
0.5
2
240
22
0.082777
Calculate the compound interest: $200 invested at 8.277673669% annual rate for 5 years. FINAL:
297.66281
297.66281
exponential_interest
1
sinusoid
0.5
2
240
23
0.082308
Calculate the compound interest: $200 invested at 8.230771035% annual rate for 5 years. FINAL:
297.018676
297.018676
exponential_interest
1
sinusoid
0.5
2
240
24
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
2
240
25
0.081125
Calculate the compound interest: $200 invested at 8.112503813% annual rate for 5 years. FINAL:
295.399409
295.399409
exponential_interest
1
sinusoid
0.5
2
240
26
0.080457
Calculate the compound interest: $200 invested at 8.045684167% annual rate for 5 years. FINAL:
294.487669
294.487669
exponential_interest
1
sinusoid
0.5
2
240
27
0.079771
Calculate the compound interest: $200 invested at 7.977108905% annual rate for 5 years. FINAL:
293.554317
293.554317
exponential_interest
1
sinusoid
0.5
2
240
28
0.079094
Calculate the compound interest: $200 invested at 7.909413334% annual rate for 5 years. FINAL:
292.635259
292.635259
exponential_interest
1
sinusoid
0.5
2
240
29
0.078452
Calculate the compound interest: $200 invested at 7.845198958% annual rate for 5 years. FINAL:
291.765593
291.765593
exponential_interest
1
sinusoid
0.5
2
240
30
0.077869
Calculate the compound interest: $200 invested at 7.7869335% annual rate for 5 years. FINAL:
290.978284
290.978284
exponential_interest
1
sinusoid
0.5
2
240
31
0.077369
Calculate the compound interest: $200 invested at 7.736856067% annual rate for 5 years. FINAL:
290.302974
290.302974
exponential_interest
1
sinusoid
0.5
2
240
32
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
2
240
33
0.076686
Calculate the compound interest: $200 invested at 7.668574455% annual rate for 5 years. FINAL:
289.384197
289.384197
exponential_interest
1
sinusoid
0.5
2
240
34
0.07653
Calculate the compound interest: $200 invested at 7.652994299% annual rate for 5 years. FINAL:
289.174881
289.174881
exponential_interest
1
sinusoid
0.5
2
240
35
0.076507
Calculate the compound interest: $200 invested at 7.650749377% annual rate for 5 years. FINAL:
289.144731
289.144731