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
2.5
16
240
44
0.064845
Calculate the compound interest: $100 invested at 6.484455543% annual rate for 6 years. FINAL:
145.786493
145.786493
exponential_interest
0
sinusoid
2.5
16
240
45
0.07125
Calculate the compound interest: $100 invested at 7.125% annual rate for 6 years. FINAL:
151.128026
151.128026
exponential_interest
0
sinusoid
2.5
16
240
46
0.095155
Calculate the compound interest: $100 invested at 9.515544457% annual rate for 6 years. FINAL:
172.526018
172.526018
exponential_interest
0
sinusoid
2.5
16
240
47
0.08875
Calculate the compound interest: $100 invested at 8.875% annual rate for 6 years. FINAL:
166.559346
166.559346
exponential_interest
0
sinusoid
2.5
16
240
48
0.064845
Calculate the compound interest: $100 invested at 6.484455543% annual rate for 6 years. FINAL:
145.786493
145.786493
exponential_interest
0
sinusoid
2.5
16
240
49
0.07125
Calculate the compound interest: $100 invested at 7.125% annual rate for 6 years. FINAL:
151.128026
151.128026
exponential_interest
0
sinusoid
2.5
16
240
50
0.095155
Calculate the compound interest: $100 invested at 9.515544457% annual rate for 6 years. FINAL:
172.526018
172.526018
exponential_interest
0
sinusoid
2.5
16
240
51
0.08875
Calculate the compound interest: $100 invested at 8.875% annual rate for 6 years. FINAL:
166.559346
166.559346
exponential_interest
0
sinusoid
2.5
16
240
52
0.064845
Calculate the compound interest: $100 invested at 6.484455543% annual rate for 6 years. FINAL:
145.786493
145.786493
exponential_interest
0
sinusoid
2.5
16
240
53
0.07125
Calculate the compound interest: $100 invested at 7.125% annual rate for 6 years. FINAL:
151.128026
151.128026
exponential_interest
0
sinusoid
2.5
16
240
54
0.095155
Calculate the compound interest: $100 invested at 9.515544457% annual rate for 6 years. FINAL:
172.526018
172.526018
exponential_interest
0
sinusoid
2.5
16
240
55
0.08875
Calculate the compound interest: $100 invested at 8.875% annual rate for 6 years. FINAL:
166.559346
166.559346
exponential_interest
0
sinusoid
2.5
16
240
56
0.064845
Calculate the compound interest: $100 invested at 6.484455543% annual rate for 6 years. FINAL:
145.786493
145.786493
exponential_interest
0
sinusoid
2.5
16
240
57
0.07125
Calculate the compound interest: $100 invested at 7.125% annual rate for 6 years. FINAL:
151.128026
151.128026
exponential_interest
0
sinusoid
2.5
16
240
58
0.095155
Calculate the compound interest: $100 invested at 9.515544457% annual rate for 6 years. FINAL:
172.526018
172.526018
exponential_interest
0
sinusoid
2.5
16
240
59
0.08875
Calculate the compound interest: $100 invested at 8.875% annual rate for 6 years. FINAL:
166.559346
166.559346
exponential_interest
0
sinusoid
2.5
16
240
60
0.064845
Calculate the compound interest: $100 invested at 6.484455543% annual rate for 6 years. FINAL:
145.786493
145.786493
exponential_interest
0
sinusoid
2.5
16
240
61
0.07125
Calculate the compound interest: $100 invested at 7.125% annual rate for 6 years. FINAL:
151.128026
151.128026
exponential_interest
0
sinusoid
2.5
16
240
62
0.095155
Calculate the compound interest: $100 invested at 9.515544457% annual rate for 6 years. FINAL:
172.526018
172.526018
exponential_interest
0
sinusoid
2.5
16
240
63
0.08875
Calculate the compound interest: $100 invested at 8.875% annual rate for 6 years. FINAL:
166.559346
166.559346
exponential_interest
1
sinusoid
2.5
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
2.5
1
0
1
0.081715
Calculate the compound interest: $200 invested at 8.171529996% annual rate for 5 years. FINAL:
296.206687
296.206687
exponential_interest
1
sinusoid
2.5
1
0
2
0.083414
Calculate the compound interest: $200 invested at 8.341408064% annual rate for 5 years. FINAL:
298.539894
298.539894
exponential_interest
1
sinusoid
2.5
1
0
3
0.08508
Calculate the compound interest: $200 invested at 8.507998185% annual rate for 5 years. FINAL:
300.842198
300.842198
exponential_interest
1
sinusoid
2.5
1
0
4
0.086697
Calculate the compound interest: $200 invested at 8.669696007% annual rate for 5 years. FINAL:
303.090453
303.090453
exponential_interest
1
sinusoid
2.5
1
0
5
0.088249
Calculate the compound interest: $200 invested at 8.824944289% annual rate for 5 years. FINAL:
305.261661
305.261661
exponential_interest
1
sinusoid
2.5
1
0
6
0.089722
Calculate the compound interest: $200 invested at 8.972247908% annual rate for 5 years. FINAL:
307.333247
307.333247
exponential_interest
1
sinusoid
2.5
1
0
7
0.091102
Calculate the compound interest: $200 invested at 9.110188247% annual rate for 5 years. FINAL:
309.283336
309.283336
exponential_interest
1
sinusoid
2.5
1
0
8
0.092374
Calculate the compound interest: $200 invested at 9.237436867% annual rate for 5 years. FINAL:
311.09104
311.09104
exponential_interest
1
sinusoid
2.5
1
0
9
0.093528
Calculate the compound interest: $200 invested at 9.352768293% annual rate for 5 years. FINAL:
312.73674
312.73674
exponential_interest
1
sinusoid
2.5
1
0
10
0.094551
Calculate the compound interest: $200 invested at 9.455071822% annual rate for 5 years. FINAL:
314.202363
314.202363
exponential_interest
1
sinusoid
2.5
1
0
11
0.095434
Calculate the compound interest: $200 invested at 9.543362213% annual rate for 5 years. FINAL:
315.471644
315.471644
exponential_interest
1
sinusoid
2.5
1
0
12
0.096168
Calculate the compound interest: $200 invested at 9.616789182% annual rate for 5 years. FINAL:
316.530366
316.530366
exponential_interest
1
sinusoid
2.5
1
0
13
0.096746
Calculate the compound interest: $200 invested at 9.674645588% annual rate for 5 years. FINAL:
317.366582
317.366582
exponential_interest
1
sinusoid
2.5
1
0
14
0.097164
Calculate the compound interest: $200 invested at 9.716374241% annual rate for 5 years. FINAL:
317.970794
317.970794
exponential_interest
1
sinusoid
2.5
1
0
15
0.097416
Calculate the compound interest: $200 invested at 9.741573272% annual rate for 5 years. FINAL:
318.336111
318.336111
exponential_interest
1
sinusoid
2.5
1
0
16
0.0975
Calculate the compound interest: $200 invested at 9.75% annual rate for 5 years. FINAL:
318.45835
318.45835
exponential_interest
1
sinusoid
2.5
1
0
17
0.097416
Calculate the compound interest: $200 invested at 9.741573272% annual rate for 5 years. FINAL:
318.336111
318.336111
exponential_interest
1
sinusoid
2.5
1
0
18
0.097164
Calculate the compound interest: $200 invested at 9.716374241% annual rate for 5 years. FINAL:
317.970794
317.970794
exponential_interest
1
sinusoid
2.5
1
0
19
0.096746
Calculate the compound interest: $200 invested at 9.674645588% annual rate for 5 years. FINAL:
317.366582
317.366582
exponential_interest
1
sinusoid
2.5
1
0
20
0.096168
Calculate the compound interest: $200 invested at 9.616789182% annual rate for 5 years. FINAL:
316.530366
316.530366
exponential_interest
1
sinusoid
2.5
1
0
21
0.095434
Calculate the compound interest: $200 invested at 9.543362213% annual rate for 5 years. FINAL:
315.471644
315.471644
exponential_interest
1
sinusoid
2.5
1
0
22
0.094551
Calculate the compound interest: $200 invested at 9.455071822% annual rate for 5 years. FINAL:
314.202363
314.202363
exponential_interest
1
sinusoid
2.5
1
0
23
0.093528
Calculate the compound interest: $200 invested at 9.352768293% annual rate for 5 years. FINAL:
312.73674
312.73674
exponential_interest
1
sinusoid
2.5
1
0
24
0.092374
Calculate the compound interest: $200 invested at 9.237436867% annual rate for 5 years. FINAL:
311.09104
311.09104
exponential_interest
1
sinusoid
2.5
1
0
25
0.091102
Calculate the compound interest: $200 invested at 9.110188247% annual rate for 5 years. FINAL:
309.283336
309.283336
exponential_interest
1
sinusoid
2.5
1
0
26
0.089722
Calculate the compound interest: $200 invested at 8.972247908% annual rate for 5 years. FINAL:
307.333247
307.333247
exponential_interest
1
sinusoid
2.5
1
0
27
0.088249
Calculate the compound interest: $200 invested at 8.824944289% annual rate for 5 years. FINAL:
305.261661
305.261661
exponential_interest
1
sinusoid
2.5
1
0
28
0.086697
Calculate the compound interest: $200 invested at 8.669696007% annual rate for 5 years. FINAL:
303.090453
303.090453
exponential_interest
1
sinusoid
2.5
1
0
29
0.08508
Calculate the compound interest: $200 invested at 8.507998185% annual rate for 5 years. FINAL:
300.842198
300.842198
exponential_interest
1
sinusoid
2.5
1
0
30
0.083414
Calculate the compound interest: $200 invested at 8.341408064% annual rate for 5 years. FINAL:
298.539894
298.539894
exponential_interest
1
sinusoid
2.5
1
0
31
0.081715
Calculate the compound interest: $200 invested at 8.171529996% annual rate for 5 years. FINAL:
296.206687
296.206687
exponential_interest
1
sinusoid
2.5
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
2.5
1
0
33
0.078285
Calculate the compound interest: $200 invested at 7.828470004% annual rate for 5 years. FINAL:
291.53937
291.53937
exponential_interest
1
sinusoid
2.5
1
0
34
0.076586
Calculate the compound interest: $200 invested at 7.658591936% annual rate for 5 years. FINAL:
289.25007
289.25007
exponential_interest
1
sinusoid
2.5
1
0
35
0.07492
Calculate the compound interest: $200 invested at 7.492001815% annual rate for 5 years. FINAL:
287.019068
287.019068
exponential_interest
1
sinusoid
2.5
1
0
36
0.073303
Calculate the compound interest: $200 invested at 7.330303993% annual rate for 5 years. FINAL:
284.866771
284.866771
exponential_interest
1
sinusoid
2.5
1
0
37
0.071751
Calculate the compound interest: $200 invested at 7.175055711% annual rate for 5 years. FINAL:
282.81249
282.81249
exponential_interest
1
sinusoid
2.5
1
0
38
0.070278
Calculate the compound interest: $200 invested at 7.027752092% annual rate for 5 years. FINAL:
280.874308
280.874308
exponential_interest
1
sinusoid
2.5
1
0
39
0.068898
Calculate the compound interest: $200 invested at 6.889811753% annual rate for 5 years. FINAL:
279.068975
279.068975
exponential_interest
1
sinusoid
2.5
1
0
40
0.067626
Calculate the compound interest: $200 invested at 6.762563133% annual rate for 5 years. FINAL:
277.411815
277.411815
exponential_interest
1
sinusoid
2.5
1
0
41
0.066472
Calculate the compound interest: $200 invested at 6.647231707% annual rate for 5 years. FINAL:
275.916663
275.916663
exponential_interest
1
sinusoid
2.5
1
0
42
0.065449
Calculate the compound interest: $200 invested at 6.544928178% annual rate for 5 years. FINAL:
274.595806
274.595806
exponential_interest
1
sinusoid
2.5
1
0
43
0.064566
Calculate the compound interest: $200 invested at 6.456637787% annual rate for 5 years. FINAL:
273.459946
273.459946
exponential_interest
1
sinusoid
2.5
1
0
44
0.063832
Calculate the compound interest: $200 invested at 6.383210818% annual rate for 5 years. FINAL:
272.518171
272.518171
exponential_interest
1
sinusoid
2.5
1
0
45
0.063254
Calculate the compound interest: $200 invested at 6.325354412% annual rate for 5 years. FINAL:
271.777933
271.777933
exponential_interest
1
sinusoid
2.5
1
0
46
0.062836
Calculate the compound interest: $200 invested at 6.283625759% annual rate for 5 years. FINAL:
271.245039
271.245039
exponential_interest
1
sinusoid
2.5
1
0
47
0.062584
Calculate the compound interest: $200 invested at 6.258426728% annual rate for 5 years. FINAL:
270.923641
270.923641
exponential_interest
1
sinusoid
2.5
1
0
48
0.0625
Calculate the compound interest: $200 invested at 6.25% annual rate for 5 years. FINAL:
270.816231
270.816231
exponential_interest
1
sinusoid
2.5
1
0
49
0.062584
Calculate the compound interest: $200 invested at 6.258426728% annual rate for 5 years. FINAL:
270.923641
270.923641
exponential_interest
1
sinusoid
2.5
1
0
50
0.062836
Calculate the compound interest: $200 invested at 6.283625759% annual rate for 5 years. FINAL:
271.245039
271.245039
exponential_interest
1
sinusoid
2.5
1
0
51
0.063254
Calculate the compound interest: $200 invested at 6.325354412% annual rate for 5 years. FINAL:
271.777933
271.777933
exponential_interest
1
sinusoid
2.5
1
0
52
0.063832
Calculate the compound interest: $200 invested at 6.383210818% annual rate for 5 years. FINAL:
272.518171
272.518171
exponential_interest
1
sinusoid
2.5
1
0
53
0.064566
Calculate the compound interest: $200 invested at 6.456637787% annual rate for 5 years. FINAL:
273.459946
273.459946
exponential_interest
1
sinusoid
2.5
1
0
54
0.065449
Calculate the compound interest: $200 invested at 6.544928178% annual rate for 5 years. FINAL:
274.595806
274.595806
exponential_interest
1
sinusoid
2.5
1
0
55
0.066472
Calculate the compound interest: $200 invested at 6.647231707% annual rate for 5 years. FINAL:
275.916663
275.916663
exponential_interest
1
sinusoid
2.5
1
0
56
0.067626
Calculate the compound interest: $200 invested at 6.762563133% annual rate for 5 years. FINAL:
277.411815
277.411815
exponential_interest
1
sinusoid
2.5
1
0
57
0.068898
Calculate the compound interest: $200 invested at 6.889811753% annual rate for 5 years. FINAL:
279.068975
279.068975
exponential_interest
1
sinusoid
2.5
1
0
58
0.070278
Calculate the compound interest: $200 invested at 7.027752092% annual rate for 5 years. FINAL:
280.874308
280.874308
exponential_interest
1
sinusoid
2.5
1
0
59
0.071751
Calculate the compound interest: $200 invested at 7.175055711% annual rate for 5 years. FINAL:
282.81249
282.81249
exponential_interest
1
sinusoid
2.5
1
0
60
0.073303
Calculate the compound interest: $200 invested at 7.330303993% annual rate for 5 years. FINAL:
284.866771
284.866771
exponential_interest
1
sinusoid
2.5
1
0
61
0.07492
Calculate the compound interest: $200 invested at 7.492001815% annual rate for 5 years. FINAL:
287.019068
287.019068
exponential_interest
1
sinusoid
2.5
1
0
62
0.076586
Calculate the compound interest: $200 invested at 7.658591936% annual rate for 5 years. FINAL:
289.25007
289.25007
exponential_interest
1
sinusoid
2.5
1
0
63
0.078285
Calculate the compound interest: $200 invested at 7.828470004% annual rate for 5 years. FINAL:
291.53937
291.53937
exponential_interest
1
sinusoid
2.5
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
2.5
2
0
1
0.083414
Calculate the compound interest: $200 invested at 8.341408064% annual rate for 5 years. FINAL:
298.539894
298.539894
exponential_interest
1
sinusoid
2.5
2
0
2
0.086697
Calculate the compound interest: $200 invested at 8.669696007% annual rate for 5 years. FINAL:
303.090453
303.090453
exponential_interest
1
sinusoid
2.5
2
0
3
0.089722
Calculate the compound interest: $200 invested at 8.972247908% annual rate for 5 years. FINAL:
307.333247
307.333247
exponential_interest
1
sinusoid
2.5
2
0
4
0.092374
Calculate the compound interest: $200 invested at 9.237436867% annual rate for 5 years. FINAL:
311.09104
311.09104
exponential_interest
1
sinusoid
2.5
2
0
5
0.094551
Calculate the compound interest: $200 invested at 9.455071822% annual rate for 5 years. FINAL:
314.202363
314.202363
exponential_interest
1
sinusoid
2.5
2
0
6
0.096168
Calculate the compound interest: $200 invested at 9.616789182% annual rate for 5 years. FINAL:
316.530366
316.530366
exponential_interest
1
sinusoid
2.5
2
0
7
0.097164
Calculate the compound interest: $200 invested at 9.716374241% annual rate for 5 years. FINAL:
317.970794
317.970794
exponential_interest
1
sinusoid
2.5
2
0
8
0.0975
Calculate the compound interest: $200 invested at 9.75% annual rate for 5 years. FINAL:
318.45835
318.45835
exponential_interest
1
sinusoid
2.5
2
0
9
0.097164
Calculate the compound interest: $200 invested at 9.716374241% annual rate for 5 years. FINAL:
317.970794
317.970794
exponential_interest
1
sinusoid
2.5
2
0
10
0.096168
Calculate the compound interest: $200 invested at 9.616789182% annual rate for 5 years. FINAL:
316.530366
316.530366
exponential_interest
1
sinusoid
2.5
2
0
11
0.094551
Calculate the compound interest: $200 invested at 9.455071822% annual rate for 5 years. FINAL:
314.202363
314.202363
exponential_interest
1
sinusoid
2.5
2
0
12
0.092374
Calculate the compound interest: $200 invested at 9.237436867% annual rate for 5 years. FINAL:
311.09104
311.09104
exponential_interest
1
sinusoid
2.5
2
0
13
0.089722
Calculate the compound interest: $200 invested at 8.972247908% annual rate for 5 years. FINAL:
307.333247
307.333247
exponential_interest
1
sinusoid
2.5
2
0
14
0.086697
Calculate the compound interest: $200 invested at 8.669696007% annual rate for 5 years. FINAL:
303.090453
303.090453
exponential_interest
1
sinusoid
2.5
2
0
15
0.083414
Calculate the compound interest: $200 invested at 8.341408064% annual rate for 5 years. FINAL:
298.539894
298.539894