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
4
0
12
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
4
0
13
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
4
0
14
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
15
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
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
4
0
17
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
18
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
19
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
20
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
21
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
22
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
23
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
24
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
25
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
26
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
27
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
4
0
28
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
4
0
29
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
4
0
30
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
31
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
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
4
0
33
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
34
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
35
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
36
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
37
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
38
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
39
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
40
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
41
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
42
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
43
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
4
0
44
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
4
0
45
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
4
0
46
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
47
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
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
4
0
49
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
50
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
51
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
52
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
53
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
54
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
55
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
56
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
57
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
58
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
59
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
4
0
60
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
4
0
61
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
4
0
62
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
63
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
8
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
8
0
1
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
8
0
2
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
8
0
3
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
8
0
4
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
8
0
5
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
8
0
6
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
8
0
7
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
8
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
8
0
9
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
8
0
10
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
8
0
11
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
8
0
12
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
8
0
13
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
8
0
14
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
8
0
15
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
8
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
8
0
17
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
8
0
18
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
8
0
19
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
8
0
20
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
8
0
21
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
8
0
22
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
8
0
23
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
8
0
24
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
8
0
25
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
8
0
26
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
8
0
27
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
8
0
28
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
8
0
29
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
8
0
30
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
8
0
31
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
8
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
8
0
33
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
8
0
34
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
8
0
35
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
8
0
36
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
8
0
37
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
8
0
38
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
8
0
39
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
8
0
40
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
8
0
41
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
8
0
42
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
8
0
43
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
8
0
44
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
8
0
45
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
8
0
46
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
8
0
47
0.077525
Calculate the compound interest: $200 invested at 7.752512627% annual rate for 5 years. FINAL:
290.513973
290.513973