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
0
24
0.08
Calculate the compound interest: $150 invested at 8% annual rate for 4 years. FINAL:
204.073344
204.073344
exponential_interest
2
sinusoid
0.5
16
0
25
0.0835
Calculate the compound interest: $150 invested at 8.35% annual rate for 4 years. FINAL:
206.731627
206.731627
exponential_interest
2
sinusoid
0.5
16
0
26
0.08
Calculate the compound interest: $150 invested at 8% annual rate for 4 years. FINAL:
204.073344
204.073344
exponential_interest
2
sinusoid
0.5
16
0
27
0.0765
Calculate the compound interest: $150 invested at 7.65% annual rate for 4 years. FINAL:
201.440781
201.440781
exponential_interest
2
sinusoid
0.5
16
0
28
0.08
Calculate the compound interest: $150 invested at 8% annual rate for 4 years. FINAL:
204.073344
204.073344
exponential_interest
2
sinusoid
0.5
16
0
29
0.0835
Calculate the compound interest: $150 invested at 8.35% annual rate for 4 years. FINAL:
206.731627
206.731627
exponential_interest
2
sinusoid
0.5
16
0
30
0.08
Calculate the compound interest: $150 invested at 8% annual rate for 4 years. FINAL:
204.073344
204.073344
exponential_interest
2
sinusoid
0.5
16
0
31
0.0765
Calculate the compound interest: $150 invested at 7.65% annual rate for 4 years. FINAL:
201.440781
201.440781
exponential_interest
2
sinusoid
0.5
16
0
32
0.08
Calculate the compound interest: $150 invested at 8% annual rate for 4 years. FINAL:
204.073344
204.073344
exponential_interest
2
sinusoid
0.5
16
0
33
0.0835
Calculate the compound interest: $150 invested at 8.35% annual rate for 4 years. FINAL:
206.731627
206.731627
exponential_interest
2
sinusoid
0.5
16
0
34
0.08
Calculate the compound interest: $150 invested at 8% annual rate for 4 years. FINAL:
204.073344
204.073344
exponential_interest
2
sinusoid
0.5
16
0
35
0.0765
Calculate the compound interest: $150 invested at 7.65% annual rate for 4 years. FINAL:
201.440781
201.440781
exponential_interest
2
sinusoid
0.5
16
0
36
0.08
Calculate the compound interest: $150 invested at 8% annual rate for 4 years. FINAL:
204.073344
204.073344
exponential_interest
2
sinusoid
0.5
16
0
37
0.0835
Calculate the compound interest: $150 invested at 8.35% annual rate for 4 years. FINAL:
206.731627
206.731627
exponential_interest
2
sinusoid
0.5
16
0
38
0.08
Calculate the compound interest: $150 invested at 8% annual rate for 4 years. FINAL:
204.073344
204.073344
exponential_interest
2
sinusoid
0.5
16
0
39
0.0765
Calculate the compound interest: $150 invested at 7.65% annual rate for 4 years. FINAL:
201.440781
201.440781
exponential_interest
2
sinusoid
0.5
16
0
40
0.08
Calculate the compound interest: $150 invested at 8% annual rate for 4 years. FINAL:
204.073344
204.073344
exponential_interest
2
sinusoid
0.5
16
0
41
0.0835
Calculate the compound interest: $150 invested at 8.35% annual rate for 4 years. FINAL:
206.731627
206.731627
exponential_interest
2
sinusoid
0.5
16
0
42
0.08
Calculate the compound interest: $150 invested at 8% annual rate for 4 years. FINAL:
204.073344
204.073344
exponential_interest
2
sinusoid
0.5
16
0
43
0.0765
Calculate the compound interest: $150 invested at 7.65% annual rate for 4 years. FINAL:
201.440781
201.440781
exponential_interest
2
sinusoid
0.5
16
0
44
0.08
Calculate the compound interest: $150 invested at 8% annual rate for 4 years. FINAL:
204.073344
204.073344
exponential_interest
2
sinusoid
0.5
16
0
45
0.0835
Calculate the compound interest: $150 invested at 8.35% annual rate for 4 years. FINAL:
206.731627
206.731627
exponential_interest
2
sinusoid
0.5
16
0
46
0.08
Calculate the compound interest: $150 invested at 8% annual rate for 4 years. FINAL:
204.073344
204.073344
exponential_interest
2
sinusoid
0.5
16
0
47
0.0765
Calculate the compound interest: $150 invested at 7.65% annual rate for 4 years. FINAL:
201.440781
201.440781
exponential_interest
2
sinusoid
0.5
16
0
48
0.08
Calculate the compound interest: $150 invested at 8% annual rate for 4 years. FINAL:
204.073344
204.073344
exponential_interest
2
sinusoid
0.5
16
0
49
0.0835
Calculate the compound interest: $150 invested at 8.35% annual rate for 4 years. FINAL:
206.731627
206.731627
exponential_interest
2
sinusoid
0.5
16
0
50
0.08
Calculate the compound interest: $150 invested at 8% annual rate for 4 years. FINAL:
204.073344
204.073344
exponential_interest
2
sinusoid
0.5
16
0
51
0.0765
Calculate the compound interest: $150 invested at 7.65% annual rate for 4 years. FINAL:
201.440781
201.440781
exponential_interest
2
sinusoid
0.5
16
0
52
0.08
Calculate the compound interest: $150 invested at 8% annual rate for 4 years. FINAL:
204.073344
204.073344
exponential_interest
2
sinusoid
0.5
16
0
53
0.0835
Calculate the compound interest: $150 invested at 8.35% annual rate for 4 years. FINAL:
206.731627
206.731627
exponential_interest
2
sinusoid
0.5
16
0
54
0.08
Calculate the compound interest: $150 invested at 8% annual rate for 4 years. FINAL:
204.073344
204.073344
exponential_interest
2
sinusoid
0.5
16
0
55
0.0765
Calculate the compound interest: $150 invested at 7.65% annual rate for 4 years. FINAL:
201.440781
201.440781
exponential_interest
2
sinusoid
0.5
16
0
56
0.08
Calculate the compound interest: $150 invested at 8% annual rate for 4 years. FINAL:
204.073344
204.073344
exponential_interest
2
sinusoid
0.5
16
0
57
0.0835
Calculate the compound interest: $150 invested at 8.35% annual rate for 4 years. FINAL:
206.731627
206.731627
exponential_interest
2
sinusoid
0.5
16
0
58
0.08
Calculate the compound interest: $150 invested at 8% annual rate for 4 years. FINAL:
204.073344
204.073344
exponential_interest
2
sinusoid
0.5
16
0
59
0.0765
Calculate the compound interest: $150 invested at 7.65% annual rate for 4 years. FINAL:
201.440781
201.440781
exponential_interest
2
sinusoid
0.5
16
0
60
0.08
Calculate the compound interest: $150 invested at 8% annual rate for 4 years. FINAL:
204.073344
204.073344
exponential_interest
2
sinusoid
0.5
16
0
61
0.0835
Calculate the compound interest: $150 invested at 8.35% annual rate for 4 years. FINAL:
206.731627
206.731627
exponential_interest
2
sinusoid
0.5
16
0
62
0.08
Calculate the compound interest: $150 invested at 8% annual rate for 4 years. FINAL:
204.073344
204.073344
exponential_interest
2
sinusoid
0.5
16
0
63
0.0765
Calculate the compound interest: $150 invested at 7.65% annual rate for 4 years. FINAL:
201.440781
201.440781
exponential_interest
2
sinusoid
0.5
1
120
0
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
120
1
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
120
2
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
120
3
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
120
4
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
120
5
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
120
6
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
120
7
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
120
8
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
120
9
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
120
10
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
120
11
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
120
12
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
120
13
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
120
14
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
120
15
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
120
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
120
17
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
120
18
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
120
19
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
120
20
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
120
21
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
120
22
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
120
23
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
120
24
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
120
25
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
120
26
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
120
27
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
120
28
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
120
29
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
120
30
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
120
31
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
120
32
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
120
33
0.077155
Calculate the compound interest: $150 invested at 7.71550366% annual rate for 4 years. FINAL:
201.931525
201.931525
exponential_interest
2
sinusoid
0.5
1
120
34
0.077369
Calculate the compound interest: $150 invested at 7.736856067% annual rate for 4 years. FINAL:
202.091688
202.091688
exponential_interest
2
sinusoid
0.5
1
120
35
0.077607
Calculate the compound interest: $150 invested at 7.760742694% annual rate for 4 years. FINAL:
202.270973
202.270973
exponential_interest
2
sinusoid
0.5
1
120
36
0.077869
Calculate the compound interest: $150 invested at 7.7869335% annual rate for 4 years. FINAL:
202.467689
202.467689
exponential_interest
2
sinusoid
0.5
1
120
37
0.078152
Calculate the compound interest: $150 invested at 7.815176252% annual rate for 4 years. FINAL:
202.679978
202.679978
exponential_interest
2
sinusoid
0.5
1
120
38
0.078452
Calculate the compound interest: $150 invested at 7.845198958% annual rate for 4 years. FINAL:
202.905829
202.905829
exponential_interest
2
sinusoid
0.5
1
120
39
0.078767
Calculate the compound interest: $150 invested at 7.876712483% annual rate for 4 years. FINAL:
203.143098
203.143098
exponential_interest
2
sinusoid
0.5
1
120
40
0.079094
Calculate the compound interest: $150 invested at 7.909413334% annual rate for 4 years. FINAL:
203.389526
203.389526
exponential_interest
2
sinusoid
0.5
1
120
41
0.07943
Calculate the compound interest: $150 invested at 7.942986584% annual rate for 4 years. FINAL:
203.642762
203.642762
exponential_interest
2
sinusoid
0.5
1
120
42
0.079771
Calculate the compound interest: $150 invested at 7.977108905% annual rate for 4 years. FINAL:
203.900382
203.900382
exponential_interest
2
sinusoid
0.5
1
120
43
0.080115
Calculate the compound interest: $150 invested at 8.011451679% annual rate for 4 years. FINAL:
204.159913
204.159913
exponential_interest
2
sinusoid
0.5
1
120
44
0.080457
Calculate the compound interest: $150 invested at 8.045684167% annual rate for 4 years. FINAL:
204.418857
204.418857
exponential_interest
2
sinusoid
0.5
1
120
45
0.080795
Calculate the compound interest: $150 invested at 8.079476692% annual rate for 4 years. FINAL:
204.674714
204.674714
exponential_interest
2
sinusoid
0.5
1
120
46
0.081125
Calculate the compound interest: $150 invested at 8.112503813% annual rate for 4 years. FINAL:
204.925008
204.925008
exponential_interest
2
sinusoid
0.5
1
120
47
0.081444
Calculate the compound interest: $150 invested at 8.14444746% annual rate for 4 years. FINAL:
205.167309
205.167309
exponential_interest
2
sinusoid
0.5
1
120
48
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
120
49
0.082039
Calculate the compound interest: $150 invested at 8.203867194% annual rate for 4 years. FINAL:
205.618596
205.618596
exponential_interest
2
sinusoid
0.5
1
120
50
0.082308
Calculate the compound interest: $150 invested at 8.230771035% annual rate for 4 years. FINAL:
205.823173
205.823173
exponential_interest
2
sinusoid
0.5
1
120
51
0.082555
Calculate the compound interest: $150 invested at 8.255452425% annual rate for 4 years. FINAL:
206.010984
206.010984
exponential_interest
2
sinusoid
0.5
1
120
52
0.082777
Calculate the compound interest: $150 invested at 8.277673669% annual rate for 4 years. FINAL:
206.180185
206.180185
exponential_interest
2
sinusoid
0.5
1
120
53
0.082972
Calculate the compound interest: $150 invested at 8.297220764% annual rate for 4 years. FINAL:
206.32911
206.32911
exponential_interest
2
sinusoid
0.5
1
120
54
0.083139
Calculate the compound interest: $150 invested at 8.31390546% annual rate for 4 years. FINAL:
206.456291
206.456291
exponential_interest
2
sinusoid
0.5
1
120
55
0.083276
Calculate the compound interest: $150 invested at 8.327567074% annual rate for 4 years. FINAL:
206.560472
206.560472
exponential_interest
2
sinusoid
0.5
1
120
56
0.083381
Calculate the compound interest: $150 invested at 8.338074039% annual rate for 4 years. FINAL:
206.640623
206.640623
exponential_interest
2
sinusoid
0.5
1
120
57
0.083453
Calculate the compound interest: $150 invested at 8.345325166% annual rate for 4 years. FINAL:
206.695951
206.695951
exponential_interest
2
sinusoid
0.5
1
120
58
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
120
59
0.083498
Calculate the compound interest: $150 invested at 8.349812606% annual rate for 4 years. FINAL:
206.730196
206.730196