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
4
240
32
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
240
33
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
240
34
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
240
35
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
240
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
240
37
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
240
38
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
240
39
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
240
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
4
240
41
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
240
42
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
240
43
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
240
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
240
45
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
240
46
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
240
47
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
240
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
4
240
49
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
240
50
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
240
51
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
240
52
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
240
53
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
240
54
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
240
55
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
240
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
4
240
57
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
240
58
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
240
59
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
240
60
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
240
61
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
240
62
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
240
63
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
8
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
8
240
1
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
8
240
2
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
8
240
3
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
8
240
4
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
8
240
5
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
8
240
6
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
8
240
7
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
8
240
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
8
240
9
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
8
240
10
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
8
240
11
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
8
240
12
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
8
240
13
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
8
240
14
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
8
240
15
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
8
240
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
8
240
17
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
8
240
18
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
8
240
19
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
8
240
20
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
8
240
21
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
8
240
22
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
8
240
23
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
8
240
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
8
240
25
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
8
240
26
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
8
240
27
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
8
240
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
8
240
29
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
8
240
30
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
8
240
31
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
8
240
32
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
8
240
33
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
8
240
34
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
8
240
35
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
8
240
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
8
240
37
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
8
240
38
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
8
240
39
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
8
240
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
8
240
41
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
8
240
42
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
8
240
43
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
8
240
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
8
240
45
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
8
240
46
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
8
240
47
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
8
240
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
8
240
49
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
8
240
50
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
8
240
51
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
8
240
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
8
240
53
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
8
240
54
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
8
240
55
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
8
240
56
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
8
240
57
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
8
240
58
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
8
240
59
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
8
240
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
8
240
61
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
8
240
62
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
8
240
63
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
16
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
16
240
1
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
240
2
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
240
3
0.08175
Calculate the compound interest: $100 invested at 8.175% annual rate for 6 years. FINAL:
160.23649
160.23649