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
1
sinusoid
0.5
2
120
56
0.08175
Calculate the compound interest: $200 invested at 8.175% annual rate for 5 years. FINAL:
296.254199
296.254199
exponential_interest
1
sinusoid
0.5
2
120
57
0.082308
Calculate the compound interest: $200 invested at 8.230771035% annual rate for 5 years. FINAL:
297.018676
297.018676
exponential_interest
1
sinusoid
0.5
2
120
58
0.082777
Calculate the compound interest: $200 invested at 8.277673669% annual rate for 5 years. FINAL:
297.66281
297.66281
exponential_interest
1
sinusoid
0.5
2
120
59
0.083139
Calculate the compound interest: $200 invested at 8.31390546% annual rate for 5 years. FINAL:
298.161162
298.161162
exponential_interest
1
sinusoid
0.5
2
120
60
0.083381
Calculate the compound interest: $200 invested at 8.338074039% annual rate for 5 years. FINAL:
298.493961
298.493961
exponential_interest
1
sinusoid
0.5
2
120
61
0.083493
Calculate the compound interest: $200 invested at 8.349250623% annual rate for 5 years. FINAL:
298.647962
298.647962
exponential_interest
1
sinusoid
0.5
2
120
62
0.08347
Calculate the compound interest: $200 invested at 8.347005701% annual rate for 5 years. FINAL:
298.617024
298.617024
exponential_interest
1
sinusoid
0.5
2
120
63
0.083314
Calculate the compound interest: $200 invested at 8.331425545% annual rate for 5 years. FINAL:
298.402382
298.402382
exponential_interest
1
sinusoid
0.5
4
120
0
0.083031
Calculate the compound interest: $200 invested at 8.303108891% annual rate for 5 years. FINAL:
298.012591
298.012591
exponential_interest
1
sinusoid
0.5
4
120
1
0.082131
Calculate the compound interest: $200 invested at 8.2130665% annual rate for 5 years. FINAL:
296.775822
296.775822
exponential_interest
1
sinusoid
0.5
4
120
2
0.080906
Calculate the compound interest: $200 invested at 8.090586666% annual rate for 5 years. FINAL:
295.100106
295.100106
exponential_interest
1
sinusoid
0.5
4
120
3
0.079543
Calculate the compound interest: $200 invested at 7.954315833% annual rate for 5 years. FINAL:
293.244613
293.244613
exponential_interest
1
sinusoid
0.5
4
120
4
0.07825
Calculate the compound interest: $200 invested at 7.825% annual rate for 5 years. FINAL:
291.492463
291.492463
exponential_interest
1
sinusoid
0.5
4
120
5
0.077223
Calculate the compound interest: $200 invested at 7.722326331% annual rate for 5 years. FINAL:
290.107271
290.107271
exponential_interest
1
sinusoid
0.5
4
120
6
0.076619
Calculate the compound interest: $200 invested at 7.661925961% annual rate for 5 years. FINAL:
289.294861
289.294861
exponential_interest
1
sinusoid
0.5
4
120
7
0.07653
Calculate the compound interest: $200 invested at 7.652994299% annual rate for 5 years. FINAL:
289.174881
289.174881
exponential_interest
1
sinusoid
0.5
4
120
8
0.076969
Calculate the compound interest: $200 invested at 7.696891109% annual rate for 5 years. FINAL:
289.764935
289.764935
exponential_interest
1
sinusoid
0.5
4
120
9
0.077869
Calculate the compound interest: $200 invested at 7.7869335% annual rate for 5 years. FINAL:
290.978284
290.978284
exponential_interest
1
sinusoid
0.5
4
120
10
0.079094
Calculate the compound interest: $200 invested at 7.909413334% annual rate for 5 years. FINAL:
292.635259
292.635259
exponential_interest
1
sinusoid
0.5
4
120
11
0.080457
Calculate the compound interest: $200 invested at 8.045684167% annual rate for 5 years. FINAL:
294.487669
294.487669
exponential_interest
1
sinusoid
0.5
4
120
12
0.08175
Calculate the compound interest: $200 invested at 8.175% annual rate for 5 years. FINAL:
296.254199
296.254199
exponential_interest
1
sinusoid
0.5
4
120
13
0.082777
Calculate the compound interest: $200 invested at 8.277673669% annual rate for 5 years. FINAL:
297.66281
297.66281
exponential_interest
1
sinusoid
0.5
4
120
14
0.083381
Calculate the compound interest: $200 invested at 8.338074039% annual rate for 5 years. FINAL:
298.493961
298.493961
exponential_interest
1
sinusoid
0.5
4
120
15
0.08347
Calculate the compound interest: $200 invested at 8.347005701% annual rate for 5 years. FINAL:
298.617024
298.617024
exponential_interest
1
sinusoid
0.5
4
120
16
0.083031
Calculate the compound interest: $200 invested at 8.303108891% annual rate for 5 years. FINAL:
298.012591
298.012591
exponential_interest
1
sinusoid
0.5
4
120
17
0.082131
Calculate the compound interest: $200 invested at 8.2130665% annual rate for 5 years. FINAL:
296.775822
296.775822
exponential_interest
1
sinusoid
0.5
4
120
18
0.080906
Calculate the compound interest: $200 invested at 8.090586666% annual rate for 5 years. FINAL:
295.100106
295.100106
exponential_interest
1
sinusoid
0.5
4
120
19
0.079543
Calculate the compound interest: $200 invested at 7.954315833% annual rate for 5 years. FINAL:
293.244613
293.244613
exponential_interest
1
sinusoid
0.5
4
120
20
0.07825
Calculate the compound interest: $200 invested at 7.825% annual rate for 5 years. FINAL:
291.492463
291.492463
exponential_interest
1
sinusoid
0.5
4
120
21
0.077223
Calculate the compound interest: $200 invested at 7.722326331% annual rate for 5 years. FINAL:
290.107271
290.107271
exponential_interest
1
sinusoid
0.5
4
120
22
0.076619
Calculate the compound interest: $200 invested at 7.661925961% annual rate for 5 years. FINAL:
289.294861
289.294861
exponential_interest
1
sinusoid
0.5
4
120
23
0.07653
Calculate the compound interest: $200 invested at 7.652994299% annual rate for 5 years. FINAL:
289.174881
289.174881
exponential_interest
1
sinusoid
0.5
4
120
24
0.076969
Calculate the compound interest: $200 invested at 7.696891109% annual rate for 5 years. FINAL:
289.764935
289.764935
exponential_interest
1
sinusoid
0.5
4
120
25
0.077869
Calculate the compound interest: $200 invested at 7.7869335% annual rate for 5 years. FINAL:
290.978284
290.978284
exponential_interest
1
sinusoid
0.5
4
120
26
0.079094
Calculate the compound interest: $200 invested at 7.909413334% annual rate for 5 years. FINAL:
292.635259
292.635259
exponential_interest
1
sinusoid
0.5
4
120
27
0.080457
Calculate the compound interest: $200 invested at 8.045684167% annual rate for 5 years. FINAL:
294.487669
294.487669
exponential_interest
1
sinusoid
0.5
4
120
28
0.08175
Calculate the compound interest: $200 invested at 8.175% annual rate for 5 years. FINAL:
296.254199
296.254199
exponential_interest
1
sinusoid
0.5
4
120
29
0.082777
Calculate the compound interest: $200 invested at 8.277673669% annual rate for 5 years. FINAL:
297.66281
297.66281
exponential_interest
1
sinusoid
0.5
4
120
30
0.083381
Calculate the compound interest: $200 invested at 8.338074039% annual rate for 5 years. FINAL:
298.493961
298.493961
exponential_interest
1
sinusoid
0.5
4
120
31
0.08347
Calculate the compound interest: $200 invested at 8.347005701% annual rate for 5 years. FINAL:
298.617024
298.617024
exponential_interest
1
sinusoid
0.5
4
120
32
0.083031
Calculate the compound interest: $200 invested at 8.303108891% annual rate for 5 years. FINAL:
298.012591
298.012591
exponential_interest
1
sinusoid
0.5
4
120
33
0.082131
Calculate the compound interest: $200 invested at 8.2130665% annual rate for 5 years. FINAL:
296.775822
296.775822
exponential_interest
1
sinusoid
0.5
4
120
34
0.080906
Calculate the compound interest: $200 invested at 8.090586666% annual rate for 5 years. FINAL:
295.100106
295.100106
exponential_interest
1
sinusoid
0.5
4
120
35
0.079543
Calculate the compound interest: $200 invested at 7.954315833% annual rate for 5 years. FINAL:
293.244613
293.244613
exponential_interest
1
sinusoid
0.5
4
120
36
0.07825
Calculate the compound interest: $200 invested at 7.825% annual rate for 5 years. FINAL:
291.492463
291.492463
exponential_interest
1
sinusoid
0.5
4
120
37
0.077223
Calculate the compound interest: $200 invested at 7.722326331% annual rate for 5 years. FINAL:
290.107271
290.107271
exponential_interest
1
sinusoid
0.5
4
120
38
0.076619
Calculate the compound interest: $200 invested at 7.661925961% annual rate for 5 years. FINAL:
289.294861
289.294861
exponential_interest
1
sinusoid
0.5
4
120
39
0.07653
Calculate the compound interest: $200 invested at 7.652994299% annual rate for 5 years. FINAL:
289.174881
289.174881
exponential_interest
1
sinusoid
0.5
4
120
40
0.076969
Calculate the compound interest: $200 invested at 7.696891109% annual rate for 5 years. FINAL:
289.764935
289.764935
exponential_interest
1
sinusoid
0.5
4
120
41
0.077869
Calculate the compound interest: $200 invested at 7.7869335% annual rate for 5 years. FINAL:
290.978284
290.978284
exponential_interest
1
sinusoid
0.5
4
120
42
0.079094
Calculate the compound interest: $200 invested at 7.909413334% annual rate for 5 years. FINAL:
292.635259
292.635259
exponential_interest
1
sinusoid
0.5
4
120
43
0.080457
Calculate the compound interest: $200 invested at 8.045684167% annual rate for 5 years. FINAL:
294.487669
294.487669
exponential_interest
1
sinusoid
0.5
4
120
44
0.08175
Calculate the compound interest: $200 invested at 8.175% annual rate for 5 years. FINAL:
296.254199
296.254199
exponential_interest
1
sinusoid
0.5
4
120
45
0.082777
Calculate the compound interest: $200 invested at 8.277673669% annual rate for 5 years. FINAL:
297.66281
297.66281
exponential_interest
1
sinusoid
0.5
4
120
46
0.083381
Calculate the compound interest: $200 invested at 8.338074039% annual rate for 5 years. FINAL:
298.493961
298.493961
exponential_interest
1
sinusoid
0.5
4
120
47
0.08347
Calculate the compound interest: $200 invested at 8.347005701% annual rate for 5 years. FINAL:
298.617024
298.617024
exponential_interest
1
sinusoid
0.5
4
120
48
0.083031
Calculate the compound interest: $200 invested at 8.303108891% annual rate for 5 years. FINAL:
298.012591
298.012591
exponential_interest
1
sinusoid
0.5
4
120
49
0.082131
Calculate the compound interest: $200 invested at 8.2130665% annual rate for 5 years. FINAL:
296.775822
296.775822
exponential_interest
1
sinusoid
0.5
4
120
50
0.080906
Calculate the compound interest: $200 invested at 8.090586666% annual rate for 5 years. FINAL:
295.100106
295.100106
exponential_interest
1
sinusoid
0.5
4
120
51
0.079543
Calculate the compound interest: $200 invested at 7.954315833% annual rate for 5 years. FINAL:
293.244613
293.244613
exponential_interest
1
sinusoid
0.5
4
120
52
0.07825
Calculate the compound interest: $200 invested at 7.825% annual rate for 5 years. FINAL:
291.492463
291.492463
exponential_interest
1
sinusoid
0.5
4
120
53
0.077223
Calculate the compound interest: $200 invested at 7.722326331% annual rate for 5 years. FINAL:
290.107271
290.107271
exponential_interest
1
sinusoid
0.5
4
120
54
0.076619
Calculate the compound interest: $200 invested at 7.661925961% annual rate for 5 years. FINAL:
289.294861
289.294861
exponential_interest
1
sinusoid
0.5
4
120
55
0.07653
Calculate the compound interest: $200 invested at 7.652994299% annual rate for 5 years. FINAL:
289.174881
289.174881
exponential_interest
1
sinusoid
0.5
4
120
56
0.076969
Calculate the compound interest: $200 invested at 7.696891109% annual rate for 5 years. FINAL:
289.764935
289.764935
exponential_interest
1
sinusoid
0.5
4
120
57
0.077869
Calculate the compound interest: $200 invested at 7.7869335% annual rate for 5 years. FINAL:
290.978284
290.978284
exponential_interest
1
sinusoid
0.5
4
120
58
0.079094
Calculate the compound interest: $200 invested at 7.909413334% annual rate for 5 years. FINAL:
292.635259
292.635259
exponential_interest
1
sinusoid
0.5
4
120
59
0.080457
Calculate the compound interest: $200 invested at 8.045684167% annual rate for 5 years. FINAL:
294.487669
294.487669
exponential_interest
1
sinusoid
0.5
4
120
60
0.08175
Calculate the compound interest: $200 invested at 8.175% annual rate for 5 years. FINAL:
296.254199
296.254199
exponential_interest
1
sinusoid
0.5
4
120
61
0.082777
Calculate the compound interest: $200 invested at 8.277673669% annual rate for 5 years. FINAL:
297.66281
297.66281
exponential_interest
1
sinusoid
0.5
4
120
62
0.083381
Calculate the compound interest: $200 invested at 8.338074039% annual rate for 5 years. FINAL:
298.493961
298.493961
exponential_interest
1
sinusoid
0.5
4
120
63
0.08347
Calculate the compound interest: $200 invested at 8.347005701% annual rate for 5 years. FINAL:
298.617024
298.617024
exponential_interest
1
sinusoid
0.5
8
120
0
0.083031
Calculate the compound interest: $200 invested at 8.303108891% annual rate for 5 years. FINAL:
298.012591
298.012591
exponential_interest
1
sinusoid
0.5
8
120
1
0.080906
Calculate the compound interest: $200 invested at 8.090586666% annual rate for 5 years. FINAL:
295.100106
295.100106
exponential_interest
1
sinusoid
0.5
8
120
2
0.07825
Calculate the compound interest: $200 invested at 7.825% annual rate for 5 years. FINAL:
291.492463
291.492463
exponential_interest
1
sinusoid
0.5
8
120
3
0.076619
Calculate the compound interest: $200 invested at 7.661925961% annual rate for 5 years. FINAL:
289.294861
289.294861
exponential_interest
1
sinusoid
0.5
8
120
4
0.076969
Calculate the compound interest: $200 invested at 7.696891109% annual rate for 5 years. FINAL:
289.764935
289.764935
exponential_interest
1
sinusoid
0.5
8
120
5
0.079094
Calculate the compound interest: $200 invested at 7.909413334% annual rate for 5 years. FINAL:
292.635259
292.635259
exponential_interest
1
sinusoid
0.5
8
120
6
0.08175
Calculate the compound interest: $200 invested at 8.175% annual rate for 5 years. FINAL:
296.254199
296.254199
exponential_interest
1
sinusoid
0.5
8
120
7
0.083381
Calculate the compound interest: $200 invested at 8.338074039% annual rate for 5 years. FINAL:
298.493961
298.493961
exponential_interest
1
sinusoid
0.5
8
120
8
0.083031
Calculate the compound interest: $200 invested at 8.303108891% annual rate for 5 years. FINAL:
298.012591
298.012591
exponential_interest
1
sinusoid
0.5
8
120
9
0.080906
Calculate the compound interest: $200 invested at 8.090586666% annual rate for 5 years. FINAL:
295.100106
295.100106
exponential_interest
1
sinusoid
0.5
8
120
10
0.07825
Calculate the compound interest: $200 invested at 7.825% annual rate for 5 years. FINAL:
291.492463
291.492463
exponential_interest
1
sinusoid
0.5
8
120
11
0.076619
Calculate the compound interest: $200 invested at 7.661925961% annual rate for 5 years. FINAL:
289.294861
289.294861
exponential_interest
1
sinusoid
0.5
8
120
12
0.076969
Calculate the compound interest: $200 invested at 7.696891109% annual rate for 5 years. FINAL:
289.764935
289.764935
exponential_interest
1
sinusoid
0.5
8
120
13
0.079094
Calculate the compound interest: $200 invested at 7.909413334% annual rate for 5 years. FINAL:
292.635259
292.635259
exponential_interest
1
sinusoid
0.5
8
120
14
0.08175
Calculate the compound interest: $200 invested at 8.175% annual rate for 5 years. FINAL:
296.254199
296.254199
exponential_interest
1
sinusoid
0.5
8
120
15
0.083381
Calculate the compound interest: $200 invested at 8.338074039% annual rate for 5 years. FINAL:
298.493961
298.493961
exponential_interest
1
sinusoid
0.5
8
120
16
0.083031
Calculate the compound interest: $200 invested at 8.303108891% annual rate for 5 years. FINAL:
298.012591
298.012591
exponential_interest
1
sinusoid
0.5
8
120
17
0.080906
Calculate the compound interest: $200 invested at 8.090586666% annual rate for 5 years. FINAL:
295.100106
295.100106
exponential_interest
1
sinusoid
0.5
8
120
18
0.07825
Calculate the compound interest: $200 invested at 7.825% annual rate for 5 years. FINAL:
291.492463
291.492463
exponential_interest
1
sinusoid
0.5
8
120
19
0.076619
Calculate the compound interest: $200 invested at 7.661925961% annual rate for 5 years. FINAL:
289.294861
289.294861
exponential_interest
1
sinusoid
0.5
8
120
20
0.076969
Calculate the compound interest: $200 invested at 7.696891109% annual rate for 5 years. FINAL:
289.764935
289.764935
exponential_interest
1
sinusoid
0.5
8
120
21
0.079094
Calculate the compound interest: $200 invested at 7.909413334% annual rate for 5 years. FINAL:
292.635259
292.635259
exponential_interest
1
sinusoid
0.5
8
120
22
0.08175
Calculate the compound interest: $200 invested at 8.175% annual rate for 5 years. FINAL:
296.254199
296.254199
exponential_interest
1
sinusoid
0.5
8
120
23
0.083381
Calculate the compound interest: $200 invested at 8.338074039% annual rate for 5 years. FINAL:
298.493961
298.493961
exponential_interest
1
sinusoid
0.5
8
120
24
0.083031
Calculate the compound interest: $200 invested at 8.303108891% annual rate for 5 years. FINAL:
298.012591
298.012591
exponential_interest
1
sinusoid
0.5
8
120
25
0.080906
Calculate the compound interest: $200 invested at 8.090586666% annual rate for 5 years. FINAL:
295.100106
295.100106
exponential_interest
1
sinusoid
0.5
8
120
26
0.07825
Calculate the compound interest: $200 invested at 7.825% annual rate for 5 years. FINAL:
291.492463
291.492463
exponential_interest
1
sinusoid
0.5
8
120
27
0.076619
Calculate the compound interest: $200 invested at 7.661925961% annual rate for 5 years. FINAL:
289.294861
289.294861