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
2
120
16
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
2
120
17
0.077369
Calculate the compound interest: $100 invested at 7.736856067% annual rate for 6 years. FINAL:
156.381649
156.381649
exponential_interest
0
sinusoid
0.5
2
120
18
0.077869
Calculate the compound interest: $100 invested at 7.7869335% annual rate for 6 years. FINAL:
156.818285
156.818285
exponential_interest
0
sinusoid
0.5
2
120
19
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
2
120
20
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
2
120
21
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
2
120
22
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
2
120
23
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
2
120
24
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
2
120
25
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
2
120
26
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
2
120
27
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
2
120
28
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
2
120
29
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
2
120
30
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
2
120
31
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
2
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
2
120
33
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
2
120
34
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
2
120
35
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
2
120
36
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
2
120
37
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
2
120
38
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
2
120
39
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
2
120
40
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
2
120
41
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
2
120
42
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
2
120
43
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
2
120
44
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
2
120
45
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
2
120
46
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
2
120
47
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
2
120
48
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
2
120
49
0.077369
Calculate the compound interest: $100 invested at 7.736856067% annual rate for 6 years. FINAL:
156.381649
156.381649
exponential_interest
0
sinusoid
0.5
2
120
50
0.077869
Calculate the compound interest: $100 invested at 7.7869335% annual rate for 6 years. FINAL:
156.818285
156.818285
exponential_interest
0
sinusoid
0.5
2
120
51
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
2
120
52
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
2
120
53
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
2
120
54
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
2
120
55
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
2
120
56
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
2
120
57
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
2
120
58
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
2
120
59
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
2
120
60
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
2
120
61
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
2
120
62
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
2
120
63
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
4
120
0
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
4
120
1
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
4
120
2
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
4
120
3
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
4
120
4
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
4
120
5
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
4
120
6
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
4
120
7
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
4
120
8
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
4
120
9
0.077869
Calculate the compound interest: $100 invested at 7.7869335% annual rate for 6 years. FINAL:
156.818285
156.818285
exponential_interest
0
sinusoid
0.5
4
120
10
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
4
120
11
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
4
120
12
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
4
120
13
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
4
120
14
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
4
120
15
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
4
120
16
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
4
120
17
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
4
120
18
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
4
120
19
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
4
120
20
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
4
120
21
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
4
120
22
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
4
120
23
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
4
120
24
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
4
120
25
0.077869
Calculate the compound interest: $100 invested at 7.7869335% annual rate for 6 years. FINAL:
156.818285
156.818285
exponential_interest
0
sinusoid
0.5
4
120
26
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
4
120
27
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
4
120
28
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
4
120
29
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
4
120
30
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
4
120
31
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
4
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
4
120
33
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
4
120
34
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
4
120
35
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
4
120
36
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
4
120
37
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
4
120
38
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
4
120
39
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
4
120
40
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
4
120
41
0.077869
Calculate the compound interest: $100 invested at 7.7869335% annual rate for 6 years. FINAL:
156.818285
156.818285
exponential_interest
0
sinusoid
0.5
4
120
42
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
4
120
43
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
4
120
44
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
4
120
45
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
4
120
46
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
4
120
47
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
4
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
4
120
49
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
4
120
50
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
4
120
51
0.079543
Calculate the compound interest: $100 invested at 7.954315833% annual rate for 6 years. FINAL:
158.285108
158.285108