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
16
240
4
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
5
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
6
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
7
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
16
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
16
240
9
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
10
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
11
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
16
240
12
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
13
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
14
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
15
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
16
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
16
240
17
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
18
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
19
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
16
240
20
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
21
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
22
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
23
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
16
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
16
240
25
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
26
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
27
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
16
240
28
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
29
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
30
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
31
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
16
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
16
240
33
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
34
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
35
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
16
240
36
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
37
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
38
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
39
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
16
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
16
240
41
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
42
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
43
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
16
240
44
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
45
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
46
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
47
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
16
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
16
240
49
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
50
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
51
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
16
240
52
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
53
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
54
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
55
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
16
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
16
240
57
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
58
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
59
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
16
240
60
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
61
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
62
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
63
0.08175
Calculate the compound interest: $100 invested at 8.175% annual rate for 6 years. FINAL:
160.23649
160.23649
exponential_interest
1
sinusoid
0.5
1
0
0
0.08
Calculate the compound interest: $200 invested at 8% annual rate for 5 years. FINAL:
293.865615
293.865615
exponential_interest
1
sinusoid
0.5
1
0
1
0.080343
Calculate the compound interest: $200 invested at 8.034305999% annual rate for 5 years. FINAL:
294.332641
294.332641
exponential_interest
1
sinusoid
0.5
1
0
2
0.080683
Calculate the compound interest: $200 invested at 8.068281613% annual rate for 5 years. FINAL:
294.795755
294.795755
exponential_interest
1
sinusoid
0.5
1
0
3
0.081016
Calculate the compound interest: $200 invested at 8.101599637% annual rate for 5 years. FINAL:
295.25047
295.25047
exponential_interest
1
sinusoid
0.5
1
0
4
0.081339
Calculate the compound interest: $200 invested at 8.133939201% annual rate for 5 years. FINAL:
295.692369
295.692369
exponential_interest
1
sinusoid
0.5
1
0
5
0.08165
Calculate the compound interest: $200 invested at 8.164988858% annual rate for 5 years. FINAL:
296.117139
296.117139
exponential_interest
1
sinusoid
0.5
1
0
6
0.081944
Calculate the compound interest: $200 invested at 8.194449582% annual rate for 5 years. FINAL:
296.520624
296.520624
exponential_interest
1
sinusoid
0.5
1
0
7
0.08222
Calculate the compound interest: $200 invested at 8.222037649% annual rate for 5 years. FINAL:
296.89886
296.89886
exponential_interest
1
sinusoid
0.5
1
0
8
0.082475
Calculate the compound interest: $200 invested at 8.247487373% annual rate for 5 years. FINAL:
297.248121
297.248121
exponential_interest
1
sinusoid
0.5
1
0
9
0.082706
Calculate the compound interest: $200 invested at 8.270553659% annual rate for 5 years. FINAL:
297.564956
297.564956
exponential_interest
1
sinusoid
0.5
1
0
10
0.08291
Calculate the compound interest: $200 invested at 8.291014364% annual rate for 5 years. FINAL:
297.846228
297.846228
exponential_interest
1
sinusoid
0.5
1
0
11
0.083087
Calculate the compound interest: $200 invested at 8.308672443% annual rate for 5 years. FINAL:
298.089143
298.089143
exponential_interest
1
sinusoid
0.5
1
0
12
0.083234
Calculate the compound interest: $200 invested at 8.323357836% annual rate for 5 years. FINAL:
298.291285
298.291285
exponential_interest
1
sinusoid
0.5
1
0
13
0.083349
Calculate the compound interest: $200 invested at 8.334929118% annual rate for 5 years. FINAL:
298.450639
298.450639
exponential_interest
1
sinusoid
0.5
1
0
14
0.083433
Calculate the compound interest: $200 invested at 8.343274848% annual rate for 5 years. FINAL:
298.565615
298.565615
exponential_interest
1
sinusoid
0.5
1
0
15
0.083483
Calculate the compound interest: $200 invested at 8.348314654% annual rate for 5 years. FINAL:
298.635063
298.635063
exponential_interest
1
sinusoid
0.5
1
0
16
0.0835
Calculate the compound interest: $200 invested at 8.35% annual rate for 5 years. FINAL:
298.65829
298.65829
exponential_interest
1
sinusoid
0.5
1
0
17
0.083483
Calculate the compound interest: $200 invested at 8.348314654% annual rate for 5 years. FINAL:
298.635063
298.635063
exponential_interest
1
sinusoid
0.5
1
0
18
0.083433
Calculate the compound interest: $200 invested at 8.343274848% annual rate for 5 years. FINAL:
298.565615
298.565615
exponential_interest
1
sinusoid
0.5
1
0
19
0.083349
Calculate the compound interest: $200 invested at 8.334929118% annual rate for 5 years. FINAL:
298.450639
298.450639
exponential_interest
1
sinusoid
0.5
1
0
20
0.083234
Calculate the compound interest: $200 invested at 8.323357836% annual rate for 5 years. FINAL:
298.291285
298.291285
exponential_interest
1
sinusoid
0.5
1
0
21
0.083087
Calculate the compound interest: $200 invested at 8.308672443% annual rate for 5 years. FINAL:
298.089143
298.089143
exponential_interest
1
sinusoid
0.5
1
0
22
0.08291
Calculate the compound interest: $200 invested at 8.291014364% annual rate for 5 years. FINAL:
297.846228
297.846228
exponential_interest
1
sinusoid
0.5
1
0
23
0.082706
Calculate the compound interest: $200 invested at 8.270553659% annual rate for 5 years. FINAL:
297.564956
297.564956
exponential_interest
1
sinusoid
0.5
1
0
24
0.082475
Calculate the compound interest: $200 invested at 8.247487373% annual rate for 5 years. FINAL:
297.248121
297.248121
exponential_interest
1
sinusoid
0.5
1
0
25
0.08222
Calculate the compound interest: $200 invested at 8.222037649% annual rate for 5 years. FINAL:
296.89886
296.89886
exponential_interest
1
sinusoid
0.5
1
0
26
0.081944
Calculate the compound interest: $200 invested at 8.194449582% annual rate for 5 years. FINAL:
296.520624
296.520624
exponential_interest
1
sinusoid
0.5
1
0
27
0.08165
Calculate the compound interest: $200 invested at 8.164988858% annual rate for 5 years. FINAL:
296.117139
296.117139
exponential_interest
1
sinusoid
0.5
1
0
28
0.081339
Calculate the compound interest: $200 invested at 8.133939201% annual rate for 5 years. FINAL:
295.692369
295.692369
exponential_interest
1
sinusoid
0.5
1
0
29
0.081016
Calculate the compound interest: $200 invested at 8.101599637% annual rate for 5 years. FINAL:
295.25047
295.25047
exponential_interest
1
sinusoid
0.5
1
0
30
0.080683
Calculate the compound interest: $200 invested at 8.068281613% annual rate for 5 years. FINAL:
294.795755
294.795755
exponential_interest
1
sinusoid
0.5
1
0
31
0.080343
Calculate the compound interest: $200 invested at 8.034305999% annual rate for 5 years. FINAL:
294.332641
294.332641
exponential_interest
1
sinusoid
0.5
1
0
32
0.08
Calculate the compound interest: $200 invested at 8% annual rate for 5 years. FINAL:
293.865615
293.865615
exponential_interest
1
sinusoid
0.5
1
0
33
0.079657
Calculate the compound interest: $200 invested at 7.965694001% annual rate for 5 years. FINAL:
293.399182
293.399182
exponential_interest
1
sinusoid
0.5
1
0
34
0.079317
Calculate the compound interest: $200 invested at 7.931718387% annual rate for 5 years. FINAL:
292.937825
292.937825
exponential_interest
1
sinusoid
0.5
1
0
35
0.078984
Calculate the compound interest: $200 invested at 7.898400363% annual rate for 5 years. FINAL:
292.485962
292.485962
exponential_interest
1
sinusoid
0.5
1
0
36
0.078661
Calculate the compound interest: $200 invested at 7.866060799% annual rate for 5 years. FINAL:
292.047901
292.047901
exponential_interest
1
sinusoid
0.5
1
0
37
0.07835
Calculate the compound interest: $200 invested at 7.835011142% annual rate for 5 years. FINAL:
291.627808
291.627808
exponential_interest
1
sinusoid
0.5
1
0
38
0.078056
Calculate the compound interest: $200 invested at 7.805550418% annual rate for 5 years. FINAL:
291.229659
291.229659
exponential_interest
1
sinusoid
0.5
1
0
39
0.07778
Calculate the compound interest: $200 invested at 7.777962351% annual rate for 5 years. FINAL:
290.857213
290.857213