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
0.5
16
120
24
0.083031
Calculate the compound interest: $100 invested at 8.303108891% annual rate for 6 years. FINAL:
161.37845
161.37845
exponential_interest
0
sinusoid
0.5
16
120
25
0.07825
Calculate the compound interest: $100 invested at 7.825% annual rate for 6 years. FINAL:
157.150874
157.150874
exponential_interest
0
sinusoid
0.5
16
120
26
0.076969
Calculate the compound interest: $100 invested at 7.696891109% annual rate for 6 years. FINAL:
156.033913
156.033913
exponential_interest
0
sinusoid
0.5
16
120
27
0.08175
Calculate the compound interest: $100 invested at 8.175% annual rate for 6 years. FINAL:
160.23649
160.23649
exponential_interest
0
sinusoid
0.5
16
120
28
0.083031
Calculate the compound interest: $100 invested at 8.303108891% annual rate for 6 years. FINAL:
161.37845
161.37845
exponential_interest
0
sinusoid
0.5
16
120
29
0.07825
Calculate the compound interest: $100 invested at 7.825% annual rate for 6 years. FINAL:
157.150874
157.150874
exponential_interest
0
sinusoid
0.5
16
120
30
0.076969
Calculate the compound interest: $100 invested at 7.696891109% annual rate for 6 years. FINAL:
156.033913
156.033913
exponential_interest
0
sinusoid
0.5
16
120
31
0.08175
Calculate the compound interest: $100 invested at 8.175% annual rate for 6 years. FINAL:
160.23649
160.23649
exponential_interest
0
sinusoid
0.5
16
120
32
0.083031
Calculate the compound interest: $100 invested at 8.303108891% annual rate for 6 years. FINAL:
161.37845
161.37845
exponential_interest
0
sinusoid
0.5
16
120
33
0.07825
Calculate the compound interest: $100 invested at 7.825% annual rate for 6 years. FINAL:
157.150874
157.150874
exponential_interest
0
sinusoid
0.5
16
120
34
0.076969
Calculate the compound interest: $100 invested at 7.696891109% annual rate for 6 years. FINAL:
156.033913
156.033913
exponential_interest
0
sinusoid
0.5
16
120
35
0.08175
Calculate the compound interest: $100 invested at 8.175% annual rate for 6 years. FINAL:
160.23649
160.23649
exponential_interest
0
sinusoid
0.5
16
120
36
0.083031
Calculate the compound interest: $100 invested at 8.303108891% annual rate for 6 years. FINAL:
161.37845
161.37845
exponential_interest
0
sinusoid
0.5
16
120
37
0.07825
Calculate the compound interest: $100 invested at 7.825% annual rate for 6 years. FINAL:
157.150874
157.150874
exponential_interest
0
sinusoid
0.5
16
120
38
0.076969
Calculate the compound interest: $100 invested at 7.696891109% annual rate for 6 years. FINAL:
156.033913
156.033913
exponential_interest
0
sinusoid
0.5
16
120
39
0.08175
Calculate the compound interest: $100 invested at 8.175% annual rate for 6 years. FINAL:
160.23649
160.23649
exponential_interest
0
sinusoid
0.5
16
120
40
0.083031
Calculate the compound interest: $100 invested at 8.303108891% annual rate for 6 years. FINAL:
161.37845
161.37845
exponential_interest
0
sinusoid
0.5
16
120
41
0.07825
Calculate the compound interest: $100 invested at 7.825% annual rate for 6 years. FINAL:
157.150874
157.150874
exponential_interest
0
sinusoid
0.5
16
120
42
0.076969
Calculate the compound interest: $100 invested at 7.696891109% annual rate for 6 years. FINAL:
156.033913
156.033913
exponential_interest
0
sinusoid
0.5
16
120
43
0.08175
Calculate the compound interest: $100 invested at 8.175% annual rate for 6 years. FINAL:
160.23649
160.23649
exponential_interest
0
sinusoid
0.5
16
120
44
0.083031
Calculate the compound interest: $100 invested at 8.303108891% annual rate for 6 years. FINAL:
161.37845
161.37845
exponential_interest
0
sinusoid
0.5
16
120
45
0.07825
Calculate the compound interest: $100 invested at 7.825% annual rate for 6 years. FINAL:
157.150874
157.150874
exponential_interest
0
sinusoid
0.5
16
120
46
0.076969
Calculate the compound interest: $100 invested at 7.696891109% annual rate for 6 years. FINAL:
156.033913
156.033913
exponential_interest
0
sinusoid
0.5
16
120
47
0.08175
Calculate the compound interest: $100 invested at 8.175% annual rate for 6 years. FINAL:
160.23649
160.23649
exponential_interest
0
sinusoid
0.5
16
120
48
0.083031
Calculate the compound interest: $100 invested at 8.303108891% annual rate for 6 years. FINAL:
161.37845
161.37845
exponential_interest
0
sinusoid
0.5
16
120
49
0.07825
Calculate the compound interest: $100 invested at 7.825% annual rate for 6 years. FINAL:
157.150874
157.150874
exponential_interest
0
sinusoid
0.5
16
120
50
0.076969
Calculate the compound interest: $100 invested at 7.696891109% annual rate for 6 years. FINAL:
156.033913
156.033913
exponential_interest
0
sinusoid
0.5
16
120
51
0.08175
Calculate the compound interest: $100 invested at 8.175% annual rate for 6 years. FINAL:
160.23649
160.23649
exponential_interest
0
sinusoid
0.5
16
120
52
0.083031
Calculate the compound interest: $100 invested at 8.303108891% annual rate for 6 years. FINAL:
161.37845
161.37845
exponential_interest
0
sinusoid
0.5
16
120
53
0.07825
Calculate the compound interest: $100 invested at 7.825% annual rate for 6 years. FINAL:
157.150874
157.150874
exponential_interest
0
sinusoid
0.5
16
120
54
0.076969
Calculate the compound interest: $100 invested at 7.696891109% annual rate for 6 years. FINAL:
156.033913
156.033913
exponential_interest
0
sinusoid
0.5
16
120
55
0.08175
Calculate the compound interest: $100 invested at 8.175% annual rate for 6 years. FINAL:
160.23649
160.23649
exponential_interest
0
sinusoid
0.5
16
120
56
0.083031
Calculate the compound interest: $100 invested at 8.303108891% annual rate for 6 years. FINAL:
161.37845
161.37845
exponential_interest
0
sinusoid
0.5
16
120
57
0.07825
Calculate the compound interest: $100 invested at 7.825% annual rate for 6 years. FINAL:
157.150874
157.150874
exponential_interest
0
sinusoid
0.5
16
120
58
0.076969
Calculate the compound interest: $100 invested at 7.696891109% annual rate for 6 years. FINAL:
156.033913
156.033913
exponential_interest
0
sinusoid
0.5
16
120
59
0.08175
Calculate the compound interest: $100 invested at 8.175% annual rate for 6 years. FINAL:
160.23649
160.23649
exponential_interest
0
sinusoid
0.5
16
120
60
0.083031
Calculate the compound interest: $100 invested at 8.303108891% annual rate for 6 years. FINAL:
161.37845
161.37845
exponential_interest
0
sinusoid
0.5
16
120
61
0.07825
Calculate the compound interest: $100 invested at 7.825% annual rate for 6 years. FINAL:
157.150874
157.150874
exponential_interest
0
sinusoid
0.5
16
120
62
0.076969
Calculate the compound interest: $100 invested at 7.696891109% annual rate for 6 years. FINAL:
156.033913
156.033913
exponential_interest
0
sinusoid
0.5
16
120
63
0.08175
Calculate the compound interest: $100 invested at 8.175% annual rate for 6 years. FINAL:
160.23649
160.23649
exponential_interest
0
sinusoid
0.5
1
240
0
0.076969
Calculate the compound interest: $100 invested at 7.696891109% annual rate for 6 years. FINAL:
156.033913
156.033913
exponential_interest
0
sinusoid
0.5
1
240
1
0.076812
Calculate the compound interest: $100 invested at 7.681197661% annual rate for 6 years. FINAL:
155.89754
155.89754
exponential_interest
0
sinusoid
0.5
1
240
2
0.076686
Calculate the compound interest: $100 invested at 7.668574455% annual rate for 6 years. FINAL:
155.78792
155.78792
exponential_interest
0
sinusoid
0.5
1
240
3
0.076591
Calculate the compound interest: $100 invested at 7.659143057% annual rate for 6 years. FINAL:
155.706059
155.706059
exponential_interest
0
sinusoid
0.5
1
240
4
0.07653
Calculate the compound interest: $100 invested at 7.652994299% annual rate for 6 years. FINAL:
155.652709
155.652709
exponential_interest
0
sinusoid
0.5
1
240
5
0.076502
Calculate the compound interest: $100 invested at 7.650187394% annual rate for 6 years. FINAL:
155.62836
155.62836
exponential_interest
0
sinusoid
0.5
1
240
6
0.076507
Calculate the compound interest: $100 invested at 7.650749377% annual rate for 6 years. FINAL:
155.633235
155.633235
exponential_interest
0
sinusoid
0.5
1
240
7
0.076547
Calculate the compound interest: $100 invested at 7.654674834% annual rate for 6 years. FINAL:
155.667289
155.667289
exponential_interest
0
sinusoid
0.5
1
240
8
0.076619
Calculate the compound interest: $100 invested at 7.661925961% annual rate for 6 years. FINAL:
155.730209
155.730209
exponential_interest
0
sinusoid
0.5
1
240
9
0.076724
Calculate the compound interest: $100 invested at 7.672432926% annual rate for 6 years. FINAL:
155.82142
155.82142
exponential_interest
0
sinusoid
0.5
1
240
10
0.076861
Calculate the compound interest: $100 invested at 7.68609454% annual rate for 6 years. FINAL:
155.940083
155.940083
exponential_interest
0
sinusoid
0.5
1
240
11
0.077028
Calculate the compound interest: $100 invested at 7.702779236% annual rate for 6 years. FINAL:
156.085105
156.085105
exponential_interest
0
sinusoid
0.5
1
240
12
0.077223
Calculate the compound interest: $100 invested at 7.722326331% annual rate for 6 years. FINAL:
156.255151
156.255151
exponential_interest
0
sinusoid
0.5
1
240
13
0.077445
Calculate the compound interest: $100 invested at 7.744547575% annual rate for 6 years. FINAL:
156.448647
156.448647
exponential_interest
0
sinusoid
0.5
1
240
14
0.077692
Calculate the compound interest: $100 invested at 7.769228965% annual rate for 6 years. FINAL:
156.663799
156.663799
exponential_interest
0
sinusoid
0.5
1
240
15
0.077961
Calculate the compound interest: $100 invested at 7.796132806% annual rate for 6 years. FINAL:
156.898606
156.898606
exponential_interest
0
sinusoid
0.5
1
240
16
0.07825
Calculate the compound interest: $100 invested at 7.825% annual rate for 6 years. FINAL:
157.150874
157.150874
exponential_interest
0
sinusoid
0.5
1
240
17
0.078556
Calculate the compound interest: $100 invested at 7.85555254% annual rate for 6 years. FINAL:
157.418238
157.418238
exponential_interest
0
sinusoid
0.5
1
240
18
0.078875
Calculate the compound interest: $100 invested at 7.887496187% annual rate for 6 years. FINAL:
157.698182
157.698182
exponential_interest
0
sinusoid
0.5
1
240
19
0.079205
Calculate the compound interest: $100 invested at 7.920523308% annual rate for 6 years. FINAL:
157.988056
157.988056
exponential_interest
0
sinusoid
0.5
1
240
20
0.079543
Calculate the compound interest: $100 invested at 7.954315833% annual rate for 6 years. FINAL:
158.285108
158.285108
exponential_interest
0
sinusoid
0.5
1
240
21
0.079885
Calculate the compound interest: $100 invested at 7.988548321% annual rate for 6 years. FINAL:
158.586501
158.586501
exponential_interest
0
sinusoid
0.5
1
240
22
0.080229
Calculate the compound interest: $100 invested at 8.022891095% annual rate for 6 years. FINAL:
158.889346
158.889346
exponential_interest
0
sinusoid
0.5
1
240
23
0.08057
Calculate the compound interest: $100 invested at 8.057013416% annual rate for 6 years. FINAL:
159.190725
159.190725
exponential_interest
0
sinusoid
0.5
1
240
24
0.080906
Calculate the compound interest: $100 invested at 8.090586666% annual rate for 6 years. FINAL:
159.487718
159.487718
exponential_interest
0
sinusoid
0.5
1
240
25
0.081233
Calculate the compound interest: $100 invested at 8.123287517% annual rate for 6 years. FINAL:
159.777438
159.777438
exponential_interest
0
sinusoid
0.5
1
240
26
0.081548
Calculate the compound interest: $100 invested at 8.154801042% annual rate for 6 years. FINAL:
160.057053
160.057053
exponential_interest
0
sinusoid
0.5
1
240
27
0.081848
Calculate the compound interest: $100 invested at 8.184823748% annual rate for 6 years. FINAL:
160.32382
160.32382
exponential_interest
0
sinusoid
0.5
1
240
28
0.082131
Calculate the compound interest: $100 invested at 8.2130665% annual rate for 6 years. FINAL:
160.575109
160.575109
exponential_interest
0
sinusoid
0.5
1
240
29
0.082393
Calculate the compound interest: $100 invested at 8.239257306% annual rate for 6 years. FINAL:
160.808434
160.808434
exponential_interest
0
sinusoid
0.5
1
240
30
0.082631
Calculate the compound interest: $100 invested at 8.263143933% annual rate for 6 years. FINAL:
161.021478
161.021478
exponential_interest
0
sinusoid
0.5
1
240
31
0.082845
Calculate the compound interest: $100 invested at 8.28449634% annual rate for 6 years. FINAL:
161.212119
161.212119
exponential_interest
0
sinusoid
0.5
1
240
32
0.083031
Calculate the compound interest: $100 invested at 8.303108891% annual rate for 6 years. FINAL:
161.37845
161.37845
exponential_interest
0
sinusoid
0.5
1
240
33
0.083188
Calculate the compound interest: $100 invested at 8.318802339% annual rate for 6 years. FINAL:
161.518806
161.518806
exponential_interest
0
sinusoid
0.5
1
240
34
0.083314
Calculate the compound interest: $100 invested at 8.331425545% annual rate for 6 years. FINAL:
161.631777
161.631777
exponential_interest
0
sinusoid
0.5
1
240
35
0.083409
Calculate the compound interest: $100 invested at 8.340856943% annual rate for 6 years. FINAL:
161.716226
161.716226
exponential_interest
0
sinusoid
0.5
1
240
36
0.08347
Calculate the compound interest: $100 invested at 8.347005701% annual rate for 6 years. FINAL:
161.771302
161.771302
exponential_interest
0
sinusoid
0.5
1
240
37
0.083498
Calculate the compound interest: $100 invested at 8.349812606% annual rate for 6 years. FINAL:
161.79645
161.79645
exponential_interest
0
sinusoid
0.5
1
240
38
0.083493
Calculate the compound interest: $100 invested at 8.349250623% annual rate for 6 years. FINAL:
161.791414
161.791414
exponential_interest
0
sinusoid
0.5
1
240
39
0.083453
Calculate the compound interest: $100 invested at 8.345325166% annual rate for 6 years. FINAL:
161.756248
161.756248
exponential_interest
0
sinusoid
0.5
1
240
40
0.083381
Calculate the compound interest: $100 invested at 8.338074039% annual rate for 6 years. FINAL:
161.691304
161.691304
exponential_interest
0
sinusoid
0.5
1
240
41
0.083276
Calculate the compound interest: $100 invested at 8.327567074% annual rate for 6 years. FINAL:
161.597239
161.597239
exponential_interest
0
sinusoid
0.5
1
240
42
0.083139
Calculate the compound interest: $100 invested at 8.31390546% annual rate for 6 years. FINAL:
161.475
161.475
exponential_interest
0
sinusoid
0.5
1
240
43
0.082972
Calculate the compound interest: $100 invested at 8.297220764% annual rate for 6 years. FINAL:
161.325815
161.325815
exponential_interest
0
sinusoid
0.5
1
240
44
0.082777
Calculate the compound interest: $100 invested at 8.277673669% annual rate for 6 years. FINAL:
161.151183
161.151183
exponential_interest
0
sinusoid
0.5
1
240
45
0.082555
Calculate the compound interest: $100 invested at 8.255452425% annual rate for 6 years. FINAL:
160.952852
160.952852
exponential_interest
0
sinusoid
0.5
1
240
46
0.082308
Calculate the compound interest: $100 invested at 8.230771035% annual rate for 6 years. FINAL:
160.732801
160.732801
exponential_interest
0
sinusoid
0.5
1
240
47
0.082039
Calculate the compound interest: $100 invested at 8.203867194% annual rate for 6 years. FINAL:
160.493222
160.493222
exponential_interest
0
sinusoid
0.5
1
240
48
0.08175
Calculate the compound interest: $100 invested at 8.175% annual rate for 6 years. FINAL:
160.23649
160.23649
exponential_interest
0
sinusoid
0.5
1
240
49
0.081444
Calculate the compound interest: $100 invested at 8.14444746% annual rate for 6 years. FINAL:
159.965142
159.965142
exponential_interest
0
sinusoid
0.5
1
240
50
0.081125
Calculate the compound interest: $100 invested at 8.112503813% annual rate for 6 years. FINAL:
159.681849
159.681849
exponential_interest
0
sinusoid
0.5
1
240
51
0.080795
Calculate the compound interest: $100 invested at 8.079476692% annual rate for 6 years. FINAL:
159.389387
159.389387
exponential_interest
0
sinusoid
0.5
1
240
52
0.080457
Calculate the compound interest: $100 invested at 8.045684167% annual rate for 6 years. FINAL:
159.090609
159.090609
exponential_interest
0
sinusoid
0.5
1
240
53
0.080115
Calculate the compound interest: $100 invested at 8.011451679% annual rate for 6 years. FINAL:
158.788417
158.788417
exponential_interest
0
sinusoid
0.5
1
240
54
0.079771
Calculate the compound interest: $100 invested at 7.977108905% annual rate for 6 years. FINAL:
158.485732
158.485732
exponential_interest
0
sinusoid
0.5
1
240
55
0.07943
Calculate the compound interest: $100 invested at 7.942986584% annual rate for 6 years. FINAL:
158.185467
158.185467
exponential_interest
0
sinusoid
0.5
1
240
56
0.079094
Calculate the compound interest: $100 invested at 7.909413334% annual rate for 6 years. FINAL:
157.890496
157.890496
exponential_interest
0
sinusoid
0.5
1
240
57
0.078767
Calculate the compound interest: $100 invested at 7.876712483% annual rate for 6 years. FINAL:
157.603631
157.603631
exponential_interest
0
sinusoid
0.5
1
240
58
0.078452
Calculate the compound interest: $100 invested at 7.845198958% annual rate for 6 years. FINAL:
157.327592
157.327592
exponential_interest
0
sinusoid
0.5
1
240
59
0.078152
Calculate the compound interest: $100 invested at 7.815176252% annual rate for 6 years. FINAL:
157.064987
157.064987