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
8
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
8
0
49
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
50
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
51
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
52
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
53
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
54
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
55
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
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
8
0
57
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
58
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
59
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
60
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
61
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
62
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
63
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
16
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
16
0
1
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
16
0
2
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
16
0
3
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
16
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
16
0
5
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
16
0
6
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
16
0
7
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
16
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
16
0
9
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
16
0
10
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
16
0
11
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
16
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
16
0
13
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
16
0
14
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
16
0
15
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
16
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
16
0
17
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
16
0
18
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
16
0
19
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
16
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
16
0
21
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
16
0
22
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
16
0
23
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
16
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
16
0
25
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
16
0
26
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
16
0
27
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
16
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
16
0
29
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
16
0
30
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
16
0
31
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
16
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
16
0
33
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
16
0
34
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
16
0
35
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
16
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
16
0
37
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
16
0
38
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
16
0
39
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
16
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
16
0
41
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
16
0
42
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
16
0
43
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
16
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
16
0
45
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
16
0
46
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
16
0
47
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
16
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
16
0
49
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
16
0
50
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
16
0
51
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
16
0
52
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
16
0
53
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
16
0
54
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
16
0
55
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
16
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
16
0
57
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
16
0
58
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
16
0
59
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
16
0
60
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
16
0
61
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
16
0
62
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
16
0
63
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
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
1
120
1
0.082845
Calculate the compound interest: $200 invested at 8.28449634% annual rate for 5 years. FINAL:
297.756602
297.756602
exponential_interest
1
sinusoid
0.5
1
120
2
0.082631
Calculate the compound interest: $200 invested at 8.263143933% annual rate for 5 years. FINAL:
297.463148
297.463148
exponential_interest
1
sinusoid
0.5
1
120
3
0.082393
Calculate the compound interest: $200 invested at 8.239257306% annual rate for 5 years. FINAL:
297.135139
297.135139
exponential_interest
1
sinusoid
0.5
1
120
4
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
1
120
5
0.081848
Calculate the compound interest: $200 invested at 8.184823748% annual rate for 5 years. FINAL:
296.388743
296.388743
exponential_interest
1
sinusoid
0.5
1
120
6
0.081548
Calculate the compound interest: $200 invested at 8.154801042% annual rate for 5 years. FINAL:
295.977712
295.977712
exponential_interest
1
sinusoid
0.5
1
120
7
0.081233
Calculate the compound interest: $200 invested at 8.123287517% annual rate for 5 years. FINAL:
295.546762
295.546762
exponential_interest
1
sinusoid
0.5
1
120
8
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
1
120
9
0.08057
Calculate the compound interest: $200 invested at 8.057013416% annual rate for 5 years. FINAL:
294.642096
294.642096
exponential_interest
1
sinusoid
0.5
1
120
10
0.080229
Calculate the compound interest: $200 invested at 8.022891095% annual rate for 5 years. FINAL:
294.177178
294.177178
exponential_interest
1
sinusoid
0.5
1
120
11
0.079885
Calculate the compound interest: $200 invested at 7.988548321% annual rate for 5 years. FINAL:
293.70985
293.70985
exponential_interest
1
sinusoid
0.5
1
120
12
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
1
120
13
0.079205
Calculate the compound interest: $200 invested at 7.920523308% annual rate for 5 years. FINAL:
292.785934
292.785934
exponential_interest
1
sinusoid
0.5
1
120
14
0.078875
Calculate the compound interest: $200 invested at 7.887496187% annual rate for 5 years. FINAL:
292.338199
292.338199
exponential_interest
1
sinusoid
0.5
1
120
15
0.078556
Calculate the compound interest: $200 invested at 7.85555254% annual rate for 5 years. FINAL:
291.905673
291.905673
exponential_interest
1
sinusoid
0.5
1
120
16
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
1
120
17
0.077961
Calculate the compound interest: $200 invested at 7.796132806% annual rate for 5 years. FINAL:
291.102476
291.102476
exponential_interest
1
sinusoid
0.5
1
120
18
0.077692
Calculate the compound interest: $200 invested at 7.769228965% annual rate for 5 years. FINAL:
290.73939
290.73939
exponential_interest
1
sinusoid
0.5
1
120
19
0.077445
Calculate the compound interest: $200 invested at 7.744547575% annual rate for 5 years. FINAL:
290.406615
290.406615