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
2
sinusoid
0.5
16
120
4
0.083031
Calculate the compound interest: $150 invested at 8.303108891% annual rate for 4 years. FINAL:
206.373986
206.373986
exponential_interest
2
sinusoid
0.5
16
120
5
0.07825
Calculate the compound interest: $150 invested at 7.825% annual rate for 4 years. FINAL:
202.753858
202.753858
exponential_interest
2
sinusoid
0.5
16
120
6
0.076969
Calculate the compound interest: $150 invested at 7.696891109% annual rate for 4 years. FINAL:
201.791991
201.791991
exponential_interest
2
sinusoid
0.5
16
120
7
0.08175
Calculate the compound interest: $150 invested at 8.175% annual rate for 4 years. FINAL:
205.39926
205.39926
exponential_interest
2
sinusoid
0.5
16
120
8
0.083031
Calculate the compound interest: $150 invested at 8.303108891% annual rate for 4 years. FINAL:
206.373986
206.373986
exponential_interest
2
sinusoid
0.5
16
120
9
0.07825
Calculate the compound interest: $150 invested at 7.825% annual rate for 4 years. FINAL:
202.753858
202.753858
exponential_interest
2
sinusoid
0.5
16
120
10
0.076969
Calculate the compound interest: $150 invested at 7.696891109% annual rate for 4 years. FINAL:
201.791991
201.791991
exponential_interest
2
sinusoid
0.5
16
120
11
0.08175
Calculate the compound interest: $150 invested at 8.175% annual rate for 4 years. FINAL:
205.39926
205.39926
exponential_interest
2
sinusoid
0.5
16
120
12
0.083031
Calculate the compound interest: $150 invested at 8.303108891% annual rate for 4 years. FINAL:
206.373986
206.373986
exponential_interest
2
sinusoid
0.5
16
120
13
0.07825
Calculate the compound interest: $150 invested at 7.825% annual rate for 4 years. FINAL:
202.753858
202.753858
exponential_interest
2
sinusoid
0.5
16
120
14
0.076969
Calculate the compound interest: $150 invested at 7.696891109% annual rate for 4 years. FINAL:
201.791991
201.791991
exponential_interest
2
sinusoid
0.5
16
120
15
0.08175
Calculate the compound interest: $150 invested at 8.175% annual rate for 4 years. FINAL:
205.39926
205.39926
exponential_interest
2
sinusoid
0.5
16
120
16
0.083031
Calculate the compound interest: $150 invested at 8.303108891% annual rate for 4 years. FINAL:
206.373986
206.373986
exponential_interest
2
sinusoid
0.5
16
120
17
0.07825
Calculate the compound interest: $150 invested at 7.825% annual rate for 4 years. FINAL:
202.753858
202.753858
exponential_interest
2
sinusoid
0.5
16
120
18
0.076969
Calculate the compound interest: $150 invested at 7.696891109% annual rate for 4 years. FINAL:
201.791991
201.791991
exponential_interest
2
sinusoid
0.5
16
120
19
0.08175
Calculate the compound interest: $150 invested at 8.175% annual rate for 4 years. FINAL:
205.39926
205.39926
exponential_interest
2
sinusoid
0.5
16
120
20
0.083031
Calculate the compound interest: $150 invested at 8.303108891% annual rate for 4 years. FINAL:
206.373986
206.373986
exponential_interest
2
sinusoid
0.5
16
120
21
0.07825
Calculate the compound interest: $150 invested at 7.825% annual rate for 4 years. FINAL:
202.753858
202.753858
exponential_interest
2
sinusoid
0.5
16
120
22
0.076969
Calculate the compound interest: $150 invested at 7.696891109% annual rate for 4 years. FINAL:
201.791991
201.791991
exponential_interest
2
sinusoid
0.5
16
120
23
0.08175
Calculate the compound interest: $150 invested at 8.175% annual rate for 4 years. FINAL:
205.39926
205.39926
exponential_interest
2
sinusoid
0.5
16
120
24
0.083031
Calculate the compound interest: $150 invested at 8.303108891% annual rate for 4 years. FINAL:
206.373986
206.373986
exponential_interest
2
sinusoid
0.5
16
120
25
0.07825
Calculate the compound interest: $150 invested at 7.825% annual rate for 4 years. FINAL:
202.753858
202.753858
exponential_interest
2
sinusoid
0.5
16
120
26
0.076969
Calculate the compound interest: $150 invested at 7.696891109% annual rate for 4 years. FINAL:
201.791991
201.791991
exponential_interest
2
sinusoid
0.5
16
120
27
0.08175
Calculate the compound interest: $150 invested at 8.175% annual rate for 4 years. FINAL:
205.39926
205.39926
exponential_interest
2
sinusoid
0.5
16
120
28
0.083031
Calculate the compound interest: $150 invested at 8.303108891% annual rate for 4 years. FINAL:
206.373986
206.373986
exponential_interest
2
sinusoid
0.5
16
120
29
0.07825
Calculate the compound interest: $150 invested at 7.825% annual rate for 4 years. FINAL:
202.753858
202.753858
exponential_interest
2
sinusoid
0.5
16
120
30
0.076969
Calculate the compound interest: $150 invested at 7.696891109% annual rate for 4 years. FINAL:
201.791991
201.791991
exponential_interest
2
sinusoid
0.5
16
120
31
0.08175
Calculate the compound interest: $150 invested at 8.175% annual rate for 4 years. FINAL:
205.39926
205.39926
exponential_interest
2
sinusoid
0.5
16
120
32
0.083031
Calculate the compound interest: $150 invested at 8.303108891% annual rate for 4 years. FINAL:
206.373986
206.373986
exponential_interest
2
sinusoid
0.5
16
120
33
0.07825
Calculate the compound interest: $150 invested at 7.825% annual rate for 4 years. FINAL:
202.753858
202.753858
exponential_interest
2
sinusoid
0.5
16
120
34
0.076969
Calculate the compound interest: $150 invested at 7.696891109% annual rate for 4 years. FINAL:
201.791991
201.791991
exponential_interest
2
sinusoid
0.5
16
120
35
0.08175
Calculate the compound interest: $150 invested at 8.175% annual rate for 4 years. FINAL:
205.39926
205.39926
exponential_interest
2
sinusoid
0.5
16
120
36
0.083031
Calculate the compound interest: $150 invested at 8.303108891% annual rate for 4 years. FINAL:
206.373986
206.373986
exponential_interest
2
sinusoid
0.5
16
120
37
0.07825
Calculate the compound interest: $150 invested at 7.825% annual rate for 4 years. FINAL:
202.753858
202.753858
exponential_interest
2
sinusoid
0.5
16
120
38
0.076969
Calculate the compound interest: $150 invested at 7.696891109% annual rate for 4 years. FINAL:
201.791991
201.791991
exponential_interest
2
sinusoid
0.5
16
120
39
0.08175
Calculate the compound interest: $150 invested at 8.175% annual rate for 4 years. FINAL:
205.39926
205.39926
exponential_interest
2
sinusoid
0.5
16
120
40
0.083031
Calculate the compound interest: $150 invested at 8.303108891% annual rate for 4 years. FINAL:
206.373986
206.373986
exponential_interest
2
sinusoid
0.5
16
120
41
0.07825
Calculate the compound interest: $150 invested at 7.825% annual rate for 4 years. FINAL:
202.753858
202.753858
exponential_interest
2
sinusoid
0.5
16
120
42
0.076969
Calculate the compound interest: $150 invested at 7.696891109% annual rate for 4 years. FINAL:
201.791991
201.791991
exponential_interest
2
sinusoid
0.5
16
120
43
0.08175
Calculate the compound interest: $150 invested at 8.175% annual rate for 4 years. FINAL:
205.39926
205.39926
exponential_interest
2
sinusoid
0.5
16
120
44
0.083031
Calculate the compound interest: $150 invested at 8.303108891% annual rate for 4 years. FINAL:
206.373986
206.373986
exponential_interest
2
sinusoid
0.5
16
120
45
0.07825
Calculate the compound interest: $150 invested at 7.825% annual rate for 4 years. FINAL:
202.753858
202.753858
exponential_interest
2
sinusoid
0.5
16
120
46
0.076969
Calculate the compound interest: $150 invested at 7.696891109% annual rate for 4 years. FINAL:
201.791991
201.791991
exponential_interest
2
sinusoid
0.5
16
120
47
0.08175
Calculate the compound interest: $150 invested at 8.175% annual rate for 4 years. FINAL:
205.39926
205.39926
exponential_interest
2
sinusoid
0.5
16
120
48
0.083031
Calculate the compound interest: $150 invested at 8.303108891% annual rate for 4 years. FINAL:
206.373986
206.373986
exponential_interest
2
sinusoid
0.5
16
120
49
0.07825
Calculate the compound interest: $150 invested at 7.825% annual rate for 4 years. FINAL:
202.753858
202.753858
exponential_interest
2
sinusoid
0.5
16
120
50
0.076969
Calculate the compound interest: $150 invested at 7.696891109% annual rate for 4 years. FINAL:
201.791991
201.791991
exponential_interest
2
sinusoid
0.5
16
120
51
0.08175
Calculate the compound interest: $150 invested at 8.175% annual rate for 4 years. FINAL:
205.39926
205.39926
exponential_interest
2
sinusoid
0.5
16
120
52
0.083031
Calculate the compound interest: $150 invested at 8.303108891% annual rate for 4 years. FINAL:
206.373986
206.373986
exponential_interest
2
sinusoid
0.5
16
120
53
0.07825
Calculate the compound interest: $150 invested at 7.825% annual rate for 4 years. FINAL:
202.753858
202.753858
exponential_interest
2
sinusoid
0.5
16
120
54
0.076969
Calculate the compound interest: $150 invested at 7.696891109% annual rate for 4 years. FINAL:
201.791991
201.791991
exponential_interest
2
sinusoid
0.5
16
120
55
0.08175
Calculate the compound interest: $150 invested at 8.175% annual rate for 4 years. FINAL:
205.39926
205.39926
exponential_interest
2
sinusoid
0.5
16
120
56
0.083031
Calculate the compound interest: $150 invested at 8.303108891% annual rate for 4 years. FINAL:
206.373986
206.373986
exponential_interest
2
sinusoid
0.5
16
120
57
0.07825
Calculate the compound interest: $150 invested at 7.825% annual rate for 4 years. FINAL:
202.753858
202.753858
exponential_interest
2
sinusoid
0.5
16
120
58
0.076969
Calculate the compound interest: $150 invested at 7.696891109% annual rate for 4 years. FINAL:
201.791991
201.791991
exponential_interest
2
sinusoid
0.5
16
120
59
0.08175
Calculate the compound interest: $150 invested at 8.175% annual rate for 4 years. FINAL:
205.39926
205.39926
exponential_interest
2
sinusoid
0.5
16
120
60
0.083031
Calculate the compound interest: $150 invested at 8.303108891% annual rate for 4 years. FINAL:
206.373986
206.373986
exponential_interest
2
sinusoid
0.5
16
120
61
0.07825
Calculate the compound interest: $150 invested at 7.825% annual rate for 4 years. FINAL:
202.753858
202.753858
exponential_interest
2
sinusoid
0.5
16
120
62
0.076969
Calculate the compound interest: $150 invested at 7.696891109% annual rate for 4 years. FINAL:
201.791991
201.791991
exponential_interest
2
sinusoid
0.5
16
120
63
0.08175
Calculate the compound interest: $150 invested at 8.175% annual rate for 4 years. FINAL:
205.39926
205.39926
exponential_interest
2
sinusoid
0.5
1
240
0
0.076969
Calculate the compound interest: $150 invested at 7.696891109% annual rate for 4 years. FINAL:
201.791991
201.791991
exponential_interest
2
sinusoid
0.5
1
240
1
0.076812
Calculate the compound interest: $150 invested at 7.681197661% annual rate for 4 years. FINAL:
201.674397
201.674397
exponential_interest
2
sinusoid
0.5
1
240
2
0.076686
Calculate the compound interest: $150 invested at 7.668574455% annual rate for 4 years. FINAL:
201.579847
201.579847
exponential_interest
2
sinusoid
0.5
1
240
3
0.076591
Calculate the compound interest: $150 invested at 7.659143057% annual rate for 4 years. FINAL:
201.509225
201.509225
exponential_interest
2
sinusoid
0.5
1
240
4
0.07653
Calculate the compound interest: $150 invested at 7.652994299% annual rate for 4 years. FINAL:
201.463194
201.463194
exponential_interest
2
sinusoid
0.5
1
240
5
0.076502
Calculate the compound interest: $150 invested at 7.650187394% annual rate for 4 years. FINAL:
201.442183
201.442183
exponential_interest
2
sinusoid
0.5
1
240
6
0.076507
Calculate the compound interest: $150 invested at 7.650749377% annual rate for 4 years. FINAL:
201.44639
201.44639
exponential_interest
2
sinusoid
0.5
1
240
7
0.076547
Calculate the compound interest: $150 invested at 7.654674834% annual rate for 4 years. FINAL:
201.475774
201.475774
exponential_interest
2
sinusoid
0.5
1
240
8
0.076619
Calculate the compound interest: $150 invested at 7.661925961% annual rate for 4 years. FINAL:
201.530062
201.530062
exponential_interest
2
sinusoid
0.5
1
240
9
0.076724
Calculate the compound interest: $150 invested at 7.672432926% annual rate for 4 years. FINAL:
201.608744
201.608744
exponential_interest
2
sinusoid
0.5
1
240
10
0.076861
Calculate the compound interest: $150 invested at 7.68609454% annual rate for 4 years. FINAL:
201.711085
201.711085
exponential_interest
2
sinusoid
0.5
1
240
11
0.077028
Calculate the compound interest: $150 invested at 7.702779236% annual rate for 4 years. FINAL:
201.836125
201.836125
exponential_interest
2
sinusoid
0.5
1
240
12
0.077223
Calculate the compound interest: $150 invested at 7.722326331% annual rate for 4 years. FINAL:
201.982691
201.982691
exponential_interest
2
sinusoid
0.5
1
240
13
0.077445
Calculate the compound interest: $150 invested at 7.744547575% annual rate for 4 years. FINAL:
202.149405
202.149405
exponential_interest
2
sinusoid
0.5
1
240
14
0.077692
Calculate the compound interest: $150 invested at 7.769228965% annual rate for 4 years. FINAL:
202.334696
202.334696
exponential_interest
2
sinusoid
0.5
1
240
15
0.077961
Calculate the compound interest: $150 invested at 7.796132806% annual rate for 4 years. FINAL:
202.536818
202.536818
exponential_interest
2
sinusoid
0.5
1
240
16
0.07825
Calculate the compound interest: $150 invested at 7.825% annual rate for 4 years. FINAL:
202.753858
202.753858
exponential_interest
2
sinusoid
0.5
1
240
17
0.078556
Calculate the compound interest: $150 invested at 7.85555254% annual rate for 4 years. FINAL:
202.983759
202.983759
exponential_interest
2
sinusoid
0.5
1
240
18
0.078875
Calculate the compound interest: $150 invested at 7.887496187% annual rate for 4 years. FINAL:
203.224337
203.224337
exponential_interest
2
sinusoid
0.5
1
240
19
0.079205
Calculate the compound interest: $150 invested at 7.920523308% annual rate for 4 years. FINAL:
203.4733
203.4733
exponential_interest
2
sinusoid
0.5
1
240
20
0.079543
Calculate the compound interest: $150 invested at 7.954315833% annual rate for 4 years. FINAL:
203.72827
203.72827
exponential_interest
2
sinusoid
0.5
1
240
21
0.079885
Calculate the compound interest: $150 invested at 7.988548321% annual rate for 4 years. FINAL:
203.986803
203.986803
exponential_interest
2
sinusoid
0.5
1
240
22
0.080229
Calculate the compound interest: $150 invested at 8.022891095% annual rate for 4 years. FINAL:
204.246416
204.246416
exponential_interest
2
sinusoid
0.5
1
240
23
0.08057
Calculate the compound interest: $150 invested at 8.057013416% annual rate for 4 years. FINAL:
204.504608
204.504608
exponential_interest
2
sinusoid
0.5
1
240
24
0.080906
Calculate the compound interest: $150 invested at 8.090586666% annual rate for 4 years. FINAL:
204.758885
204.758885
exponential_interest
2
sinusoid
0.5
1
240
25
0.081233
Calculate the compound interest: $150 invested at 8.123287517% annual rate for 4 years. FINAL:
205.006781
205.006781
exponential_interest
2
sinusoid
0.5
1
240
26
0.081548
Calculate the compound interest: $150 invested at 8.154801042% annual rate for 4 years. FINAL:
205.24589
205.24589
exponential_interest
2
sinusoid
0.5
1
240
27
0.081848
Calculate the compound interest: $150 invested at 8.184823748% annual rate for 4 years. FINAL:
205.473882
205.473882
exponential_interest
2
sinusoid
0.5
1
240
28
0.082131
Calculate the compound interest: $150 invested at 8.2130665% annual rate for 4 years. FINAL:
205.68853
205.68853
exponential_interest
2
sinusoid
0.5
1
240
29
0.082393
Calculate the compound interest: $150 invested at 8.239257306% annual rate for 4 years. FINAL:
205.887734
205.887734
exponential_interest
2
sinusoid
0.5
1
240
30
0.082631
Calculate the compound interest: $150 invested at 8.263143933% annual rate for 4 years. FINAL:
206.069538
206.069538
exponential_interest
2
sinusoid
0.5
1
240
31
0.082845
Calculate the compound interest: $150 invested at 8.28449634% annual rate for 4 years. FINAL:
206.232156
206.232156
exponential_interest
2
sinusoid
0.5
1
240
32
0.083031
Calculate the compound interest: $150 invested at 8.303108891% annual rate for 4 years. FINAL:
206.373986
206.373986
exponential_interest
2
sinusoid
0.5
1
240
33
0.083188
Calculate the compound interest: $150 invested at 8.318802339% annual rate for 4 years. FINAL:
206.493629
206.493629
exponential_interest
2
sinusoid
0.5
1
240
34
0.083314
Calculate the compound interest: $150 invested at 8.331425545% annual rate for 4 years. FINAL:
206.589903
206.589903
exponential_interest
2
sinusoid
0.5
1
240
35
0.083409
Calculate the compound interest: $150 invested at 8.340856943% annual rate for 4 years. FINAL:
206.661856
206.661856
exponential_interest
2
sinusoid
0.5
1
240
36
0.08347
Calculate the compound interest: $150 invested at 8.347005701% annual rate for 4 years. FINAL:
206.708775
206.708775
exponential_interest
2
sinusoid
0.5
1
240
37
0.083498
Calculate the compound interest: $150 invested at 8.349812606% annual rate for 4 years. FINAL:
206.730196
206.730196
exponential_interest
2
sinusoid
0.5
1
240
38
0.083493
Calculate the compound interest: $150 invested at 8.349250623% annual rate for 4 years. FINAL:
206.725907
206.725907
exponential_interest
2
sinusoid
0.5
1
240
39
0.083453
Calculate the compound interest: $150 invested at 8.345325166% annual rate for 4 years. FINAL:
206.695951
206.695951