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
1
240
40
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
240
41
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
240
42
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
240
43
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
240
44
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
240
45
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
240
46
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
240
47
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
240
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
240
49
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
240
50
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
240
51
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
240
52
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
240
53
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
240
54
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
240
55
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
240
56
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
240
57
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
240
58
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
240
59
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
240
60
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
240
61
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
240
62
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
240
63
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
2
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
2
240
1
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
2
240
2
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
2
240
3
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
2
240
4
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
2
240
5
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
2
240
6
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
2
240
7
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
2
240
8
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
2
240
9
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
2
240
10
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
2
240
11
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
2
240
12
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
2
240
13
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
2
240
14
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
2
240
15
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
2
240
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
2
240
17
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
2
240
18
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
2
240
19
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
2
240
20
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
2
240
21
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
2
240
22
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
2
240
23
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
2
240
24
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
2
240
25
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
2
240
26
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
2
240
27
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
2
240
28
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
2
240
29
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
2
240
30
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
2
240
31
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
2
240
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
2
240
33
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
2
240
34
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
2
240
35
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
2
240
36
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
2
240
37
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
2
240
38
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
2
240
39
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
2
240
40
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
2
240
41
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
2
240
42
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
2
240
43
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
2
240
44
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
2
240
45
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
2
240
46
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
2
240
47
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
2
240
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
2
240
49
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
2
240
50
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
2
240
51
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
2
240
52
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
2
240
53
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
2
240
54
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
2
240
55
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
2
240
56
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
2
240
57
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
2
240
58
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
2
240
59
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
2
240
60
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
2
240
61
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
2
240
62
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
2
240
63
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
4
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
4
240
1
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
4
240
2
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
4
240
3
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
4
240
4
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
4
240
5
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
4
240
6
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
4
240
7
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
4
240
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
4
240
9
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
4
240
10
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
4
240
11
0.082777
Calculate the compound interest: $150 invested at 8.277673669% annual rate for 4 years. FINAL:
206.180185
206.180185