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
1
0
40
0.077525
Calculate the compound interest: $200 invested at 7.752512627% annual rate for 5 years. FINAL:
290.513973
290.513973
exponential_interest
1
sinusoid
0.5
1
0
41
0.077294
Calculate the compound interest: $200 invested at 7.729446341% annual rate for 5 years. FINAL:
290.203159
290.203159
exponential_interest
1
sinusoid
0.5
1
0
42
0.07709
Calculate the compound interest: $200 invested at 7.708985636% annual rate for 5 years. FINAL:
289.927676
289.927676
exponential_interest
1
sinusoid
0.5
1
0
43
0.076913
Calculate the compound interest: $200 invested at 7.691327557% annual rate for 5 years. FINAL:
289.690097
289.690097
exponential_interest
1
sinusoid
0.5
1
0
44
0.076766
Calculate the compound interest: $200 invested at 7.676642164% annual rate for 5 years. FINAL:
289.492632
289.492632
exponential_interest
1
sinusoid
0.5
1
0
45
0.076651
Calculate the compound interest: $200 invested at 7.665070882% annual rate for 5 years. FINAL:
289.337116
289.337116
exponential_interest
1
sinusoid
0.5
1
0
46
0.076567
Calculate the compound interest: $200 invested at 7.656725152% annual rate for 5 years. FINAL:
289.224993
289.224993
exponential_interest
1
sinusoid
0.5
1
0
47
0.076517
Calculate the compound interest: $200 invested at 7.651685346% annual rate for 5 years. FINAL:
289.157301
289.157301
exponential_interest
1
sinusoid
0.5
1
0
48
0.0765
Calculate the compound interest: $200 invested at 7.65% annual rate for 5 years. FINAL:
289.134667
289.134667
exponential_interest
1
sinusoid
0.5
1
0
49
0.076517
Calculate the compound interest: $200 invested at 7.651685346% annual rate for 5 years. FINAL:
289.157301
289.157301
exponential_interest
1
sinusoid
0.5
1
0
50
0.076567
Calculate the compound interest: $200 invested at 7.656725152% annual rate for 5 years. FINAL:
289.224993
289.224993
exponential_interest
1
sinusoid
0.5
1
0
51
0.076651
Calculate the compound interest: $200 invested at 7.665070882% annual rate for 5 years. FINAL:
289.337116
289.337116
exponential_interest
1
sinusoid
0.5
1
0
52
0.076766
Calculate the compound interest: $200 invested at 7.676642164% annual rate for 5 years. FINAL:
289.492632
289.492632
exponential_interest
1
sinusoid
0.5
1
0
53
0.076913
Calculate the compound interest: $200 invested at 7.691327557% annual rate for 5 years. FINAL:
289.690097
289.690097
exponential_interest
1
sinusoid
0.5
1
0
54
0.07709
Calculate the compound interest: $200 invested at 7.708985636% annual rate for 5 years. FINAL:
289.927676
289.927676
exponential_interest
1
sinusoid
0.5
1
0
55
0.077294
Calculate the compound interest: $200 invested at 7.729446341% annual rate for 5 years. FINAL:
290.203159
290.203159
exponential_interest
1
sinusoid
0.5
1
0
56
0.077525
Calculate the compound interest: $200 invested at 7.752512627% annual rate for 5 years. FINAL:
290.513973
290.513973
exponential_interest
1
sinusoid
0.5
1
0
57
0.07778
Calculate the compound interest: $200 invested at 7.777962351% annual rate for 5 years. FINAL:
290.857213
290.857213
exponential_interest
1
sinusoid
0.5
1
0
58
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
59
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
60
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
61
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
62
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
63
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
2
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
2
0
1
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
2
0
2
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
2
0
3
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
2
0
4
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
2
0
5
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
2
0
6
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
2
0
7
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
2
0
8
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
2
0
9
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
2
0
10
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
2
0
11
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
2
0
12
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
2
0
13
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
2
0
14
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
2
0
15
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
2
0
16
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
2
0
17
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
2
0
18
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
2
0
19
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
2
0
20
0.077525
Calculate the compound interest: $200 invested at 7.752512627% annual rate for 5 years. FINAL:
290.513973
290.513973
exponential_interest
1
sinusoid
0.5
2
0
21
0.07709
Calculate the compound interest: $200 invested at 7.708985636% annual rate for 5 years. FINAL:
289.927676
289.927676
exponential_interest
1
sinusoid
0.5
2
0
22
0.076766
Calculate the compound interest: $200 invested at 7.676642164% annual rate for 5 years. FINAL:
289.492632
289.492632
exponential_interest
1
sinusoid
0.5
2
0
23
0.076567
Calculate the compound interest: $200 invested at 7.656725152% annual rate for 5 years. FINAL:
289.224993
289.224993
exponential_interest
1
sinusoid
0.5
2
0
24
0.0765
Calculate the compound interest: $200 invested at 7.65% annual rate for 5 years. FINAL:
289.134667
289.134667
exponential_interest
1
sinusoid
0.5
2
0
25
0.076567
Calculate the compound interest: $200 invested at 7.656725152% annual rate for 5 years. FINAL:
289.224993
289.224993
exponential_interest
1
sinusoid
0.5
2
0
26
0.076766
Calculate the compound interest: $200 invested at 7.676642164% annual rate for 5 years. FINAL:
289.492632
289.492632
exponential_interest
1
sinusoid
0.5
2
0
27
0.07709
Calculate the compound interest: $200 invested at 7.708985636% annual rate for 5 years. FINAL:
289.927676
289.927676
exponential_interest
1
sinusoid
0.5
2
0
28
0.077525
Calculate the compound interest: $200 invested at 7.752512627% annual rate for 5 years. FINAL:
290.513973
290.513973
exponential_interest
1
sinusoid
0.5
2
0
29
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
2
0
30
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
2
0
31
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
2
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
2
0
33
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
2
0
34
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
2
0
35
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
2
0
36
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
2
0
37
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
2
0
38
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
2
0
39
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
2
0
40
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
2
0
41
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
2
0
42
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
2
0
43
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
2
0
44
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
2
0
45
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
2
0
46
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
2
0
47
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
2
0
48
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
2
0
49
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
2
0
50
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
2
0
51
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
2
0
52
0.077525
Calculate the compound interest: $200 invested at 7.752512627% annual rate for 5 years. FINAL:
290.513973
290.513973
exponential_interest
1
sinusoid
0.5
2
0
53
0.07709
Calculate the compound interest: $200 invested at 7.708985636% annual rate for 5 years. FINAL:
289.927676
289.927676
exponential_interest
1
sinusoid
0.5
2
0
54
0.076766
Calculate the compound interest: $200 invested at 7.676642164% annual rate for 5 years. FINAL:
289.492632
289.492632
exponential_interest
1
sinusoid
0.5
2
0
55
0.076567
Calculate the compound interest: $200 invested at 7.656725152% annual rate for 5 years. FINAL:
289.224993
289.224993
exponential_interest
1
sinusoid
0.5
2
0
56
0.0765
Calculate the compound interest: $200 invested at 7.65% annual rate for 5 years. FINAL:
289.134667
289.134667
exponential_interest
1
sinusoid
0.5
2
0
57
0.076567
Calculate the compound interest: $200 invested at 7.656725152% annual rate for 5 years. FINAL:
289.224993
289.224993
exponential_interest
1
sinusoid
0.5
2
0
58
0.076766
Calculate the compound interest: $200 invested at 7.676642164% annual rate for 5 years. FINAL:
289.492632
289.492632
exponential_interest
1
sinusoid
0.5
2
0
59
0.07709
Calculate the compound interest: $200 invested at 7.708985636% annual rate for 5 years. FINAL:
289.927676
289.927676
exponential_interest
1
sinusoid
0.5
2
0
60
0.077525
Calculate the compound interest: $200 invested at 7.752512627% annual rate for 5 years. FINAL:
290.513973
290.513973
exponential_interest
1
sinusoid
0.5
2
0
61
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
2
0
62
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
2
0
63
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
4
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
4
0
1
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
4
0
2
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
4
0
3
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
4
0
4
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
4
0
5
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
4
0
6
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
4
0
7
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
4
0
8
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
4
0
9
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
4
0
10
0.077525
Calculate the compound interest: $200 invested at 7.752512627% annual rate for 5 years. FINAL:
290.513973
290.513973
exponential_interest
1
sinusoid
0.5
4
0
11
0.076766
Calculate the compound interest: $200 invested at 7.676642164% annual rate for 5 years. FINAL:
289.492632
289.492632