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
2.5
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
2.5
2
0
17
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
2
0
18
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
2
0
19
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
2
0
20
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
2
0
21
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
2
0
22
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
2
0
23
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
2
0
24
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
2
0
25
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
2
0
26
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
2
0
27
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
2
0
28
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
2
0
29
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
2
0
30
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
2
0
31
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
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
2.5
2
0
33
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
34
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
35
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
36
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
37
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
38
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
39
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
40
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
41
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
42
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
43
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
44
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
45
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
46
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
47
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
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
2.5
2
0
49
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
2
0
50
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
2
0
51
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
2
0
52
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
2
0
53
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
2
0
54
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
2
0
55
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
2
0
56
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
2
0
57
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
2
0
58
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
2
0
59
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
2
0
60
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
2
0
61
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
2
0
62
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
2
0
63
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
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
2.5
4
0
1
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
4
0
2
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
4
0
3
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
4
0
4
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
4
0
5
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
4
0
6
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
4
0
7
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
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
2.5
4
0
9
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
4
0
10
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
4
0
11
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
4
0
12
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
4
0
13
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
4
0
14
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
4
0
15
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
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
2.5
4
0
17
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
4
0
18
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
4
0
19
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
4
0
20
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
4
0
21
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
4
0
22
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
4
0
23
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
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
2.5
4
0
25
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
4
0
26
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
4
0
27
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
4
0
28
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
4
0
29
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
4
0
30
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
4
0
31
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
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
2.5
4
0
33
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
4
0
34
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
4
0
35
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
4
0
36
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
4
0
37
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
4
0
38
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
4
0
39
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
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
2.5
4
0
41
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
4
0
42
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
4
0
43
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
4
0
44
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
4
0
45
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
4
0
46
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
4
0
47
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
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
2.5
4
0
49
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
4
0
50
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
4
0
51
0.096168
Calculate the compound interest: $200 invested at 9.616789182% annual rate for 5 years. FINAL:
316.530366
316.530366