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
120
20
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
1
120
21
0.077028
Calculate the compound interest: $200 invested at 7.702779236% annual rate for 5 years. FINAL:
289.844155
289.844155
exponential_interest
1
sinusoid
0.5
1
120
22
0.076861
Calculate the compound interest: $200 invested at 7.68609454% annual rate for 5 years. FINAL:
289.61972
289.61972
exponential_interest
1
sinusoid
0.5
1
120
23
0.076724
Calculate the compound interest: $200 invested at 7.672432926% annual rate for 5 years. FINAL:
289.436053
289.436053
exponential_interest
1
sinusoid
0.5
1
120
24
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
1
120
25
0.076547
Calculate the compound interest: $200 invested at 7.654674834% annual rate for 5 years. FINAL:
289.197453
289.197453
exponential_interest
1
sinusoid
0.5
1
120
26
0.076507
Calculate the compound interest: $200 invested at 7.650749377% annual rate for 5 years. FINAL:
289.144731
289.144731
exponential_interest
1
sinusoid
0.5
1
120
27
0.076502
Calculate the compound interest: $200 invested at 7.650187394% annual rate for 5 years. FINAL:
289.137184
289.137184
exponential_interest
1
sinusoid
0.5
1
120
28
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
1
120
29
0.076591
Calculate the compound interest: $200 invested at 7.659143057% annual rate for 5 years. FINAL:
289.257474
289.257474
exponential_interest
1
sinusoid
0.5
1
120
30
0.076686
Calculate the compound interest: $200 invested at 7.668574455% annual rate for 5 years. FINAL:
289.384197
289.384197
exponential_interest
1
sinusoid
0.5
1
120
31
0.076812
Calculate the compound interest: $200 invested at 7.681197661% annual rate for 5 years. FINAL:
289.553875
289.553875
exponential_interest
1
sinusoid
0.5
1
120
32
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
1
120
33
0.077155
Calculate the compound interest: $200 invested at 7.71550366% annual rate for 5 years. FINAL:
290.015412
290.015412
exponential_interest
1
sinusoid
0.5
1
120
34
0.077369
Calculate the compound interest: $200 invested at 7.736856067% annual rate for 5 years. FINAL:
290.302974
290.302974
exponential_interest
1
sinusoid
0.5
1
120
35
0.077607
Calculate the compound interest: $200 invested at 7.760742694% annual rate for 5 years. FINAL:
290.624936
290.624936
exponential_interest
1
sinusoid
0.5
1
120
36
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
1
120
37
0.078152
Calculate the compound interest: $200 invested at 7.815176252% annual rate for 5 years. FINAL:
291.3597
291.3597
exponential_interest
1
sinusoid
0.5
1
120
38
0.078452
Calculate the compound interest: $200 invested at 7.845198958% annual rate for 5 years. FINAL:
291.765593
291.765593
exponential_interest
1
sinusoid
0.5
1
120
39
0.078767
Calculate the compound interest: $200 invested at 7.876712483% annual rate for 5 years. FINAL:
292.192127
292.192127
exponential_interest
1
sinusoid
0.5
1
120
40
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
1
120
41
0.07943
Calculate the compound interest: $200 invested at 7.942986584% annual rate for 5 years. FINAL:
293.090773
293.090773
exponential_interest
1
sinusoid
0.5
1
120
42
0.079771
Calculate the compound interest: $200 invested at 7.977108905% annual rate for 5 years. FINAL:
293.554317
293.554317
exponential_interest
1
sinusoid
0.5
1
120
43
0.080115
Calculate the compound interest: $200 invested at 8.011451679% annual rate for 5 years. FINAL:
294.021447
294.021447
exponential_interest
1
sinusoid
0.5
1
120
44
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
1
120
45
0.080795
Calculate the compound interest: $200 invested at 8.079476692% annual rate for 5 years. FINAL:
294.94848
294.94848
exponential_interest
1
sinusoid
0.5
1
120
46
0.081125
Calculate the compound interest: $200 invested at 8.112503813% annual rate for 5 years. FINAL:
295.399409
295.399409
exponential_interest
1
sinusoid
0.5
1
120
47
0.081444
Calculate the compound interest: $200 invested at 8.14444746% annual rate for 5 years. FINAL:
295.836071
295.836071
exponential_interest
1
sinusoid
0.5
1
120
48
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
1
120
49
0.082039
Calculate the compound interest: $200 invested at 8.203867194% annual rate for 5 years. FINAL:
296.649697
296.649697
exponential_interest
1
sinusoid
0.5
1
120
50
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
1
120
51
0.082555
Calculate the compound interest: $200 invested at 8.255452425% annual rate for 5 years. FINAL:
297.357497
297.357497
exponential_interest
1
sinusoid
0.5
1
120
52
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
1
120
53
0.082972
Calculate the compound interest: $200 invested at 8.297220764% annual rate for 5 years. FINAL:
297.931589
297.931589
exponential_interest
1
sinusoid
0.5
1
120
54
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
1
120
55
0.083276
Calculate the compound interest: $200 invested at 8.327567074% annual rate for 5 years. FINAL:
298.349245
298.349245
exponential_interest
1
sinusoid
0.5
1
120
56
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
1
120
57
0.083453
Calculate the compound interest: $200 invested at 8.345325166% annual rate for 5 years. FINAL:
298.593866
298.593866
exponential_interest
1
sinusoid
0.5
1
120
58
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
1
120
59
0.083498
Calculate the compound interest: $200 invested at 8.349812606% annual rate for 5 years. FINAL:
298.655707
298.655707
exponential_interest
1
sinusoid
0.5
1
120
60
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
1
120
61
0.083409
Calculate the compound interest: $200 invested at 8.340856943% annual rate for 5 years. FINAL:
298.532301
298.532301
exponential_interest
1
sinusoid
0.5
1
120
62
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
1
120
63
0.083188
Calculate the compound interest: $200 invested at 8.318802339% annual rate for 5 years. FINAL:
298.228568
298.228568
exponential_interest
1
sinusoid
0.5
2
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
2
120
1
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
2
120
2
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
2
120
3
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
2
120
4
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
2
120
5
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
2
120
6
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
2
120
7
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
2
120
8
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
2
120
9
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
2
120
10
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
2
120
11
0.076861
Calculate the compound interest: $200 invested at 7.68609454% annual rate for 5 years. FINAL:
289.61972
289.61972
exponential_interest
1
sinusoid
0.5
2
120
12
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
2
120
13
0.076507
Calculate the compound interest: $200 invested at 7.650749377% annual rate for 5 years. FINAL:
289.144731
289.144731
exponential_interest
1
sinusoid
0.5
2
120
14
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
2
120
15
0.076686
Calculate the compound interest: $200 invested at 7.668574455% annual rate for 5 years. FINAL:
289.384197
289.384197
exponential_interest
1
sinusoid
0.5
2
120
16
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
2
120
17
0.077369
Calculate the compound interest: $200 invested at 7.736856067% annual rate for 5 years. FINAL:
290.302974
290.302974
exponential_interest
1
sinusoid
0.5
2
120
18
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
2
120
19
0.078452
Calculate the compound interest: $200 invested at 7.845198958% annual rate for 5 years. FINAL:
291.765593
291.765593
exponential_interest
1
sinusoid
0.5
2
120
20
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
2
120
21
0.079771
Calculate the compound interest: $200 invested at 7.977108905% annual rate for 5 years. FINAL:
293.554317
293.554317
exponential_interest
1
sinusoid
0.5
2
120
22
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
2
120
23
0.081125
Calculate the compound interest: $200 invested at 8.112503813% annual rate for 5 years. FINAL:
295.399409
295.399409
exponential_interest
1
sinusoid
0.5
2
120
24
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
25
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
26
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
27
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
28
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
29
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
30
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
31
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
2
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
2
120
33
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
2
120
34
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
2
120
35
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
2
120
36
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
2
120
37
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
2
120
38
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
2
120
39
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
2
120
40
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
2
120
41
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
2
120
42
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
2
120
43
0.076861
Calculate the compound interest: $200 invested at 7.68609454% annual rate for 5 years. FINAL:
289.61972
289.61972
exponential_interest
1
sinusoid
0.5
2
120
44
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
2
120
45
0.076507
Calculate the compound interest: $200 invested at 7.650749377% annual rate for 5 years. FINAL:
289.144731
289.144731
exponential_interest
1
sinusoid
0.5
2
120
46
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
2
120
47
0.076686
Calculate the compound interest: $200 invested at 7.668574455% annual rate for 5 years. FINAL:
289.384197
289.384197
exponential_interest
1
sinusoid
0.5
2
120
48
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
2
120
49
0.077369
Calculate the compound interest: $200 invested at 7.736856067% annual rate for 5 years. FINAL:
290.302974
290.302974
exponential_interest
1
sinusoid
0.5
2
120
50
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
2
120
51
0.078452
Calculate the compound interest: $200 invested at 7.845198958% annual rate for 5 years. FINAL:
291.765593
291.765593
exponential_interest
1
sinusoid
0.5
2
120
52
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
2
120
53
0.079771
Calculate the compound interest: $200 invested at 7.977108905% annual rate for 5 years. FINAL:
293.554317
293.554317
exponential_interest
1
sinusoid
0.5
2
120
54
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
2
120
55
0.081125
Calculate the compound interest: $200 invested at 8.112503813% annual rate for 5 years. FINAL:
295.399409
295.399409