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
1
0
40
0.067626
Calculate the compound interest: $100 invested at 6.762563133% annual rate for 6 years. FINAL:
148.085982
148.085982
exponential_interest
0
sinusoid
2.5
1
0
41
0.066472
Calculate the compound interest: $100 invested at 6.647231707% annual rate for 6 years. FINAL:
147.128742
147.128742
exponential_interest
0
sinusoid
2.5
1
0
42
0.065449
Calculate the compound interest: $100 invested at 6.544928178% annual rate for 6 years. FINAL:
146.283952
146.283952
exponential_interest
0
sinusoid
2.5
1
0
43
0.064566
Calculate the compound interest: $100 invested at 6.456637787% annual rate for 6 years. FINAL:
145.558132
145.558132
exponential_interest
0
sinusoid
2.5
1
0
44
0.063832
Calculate the compound interest: $100 invested at 6.383210818% annual rate for 6 years. FINAL:
144.95679
144.95679
exponential_interest
0
sinusoid
2.5
1
0
45
0.063254
Calculate the compound interest: $100 invested at 6.325354412% annual rate for 6 years. FINAL:
144.484425
144.484425
exponential_interest
0
sinusoid
2.5
1
0
46
0.062836
Calculate the compound interest: $100 invested at 6.283625759% annual rate for 6 years. FINAL:
144.144531
144.144531
exponential_interest
0
sinusoid
2.5
1
0
47
0.062584
Calculate the compound interest: $100 invested at 6.258426728% annual rate for 6 years. FINAL:
143.939599
143.939599
exponential_interest
0
sinusoid
2.5
1
0
48
0.0625
Calculate the compound interest: $100 invested at 6.25% annual rate for 6 years. FINAL:
143.871123
143.871123
exponential_interest
0
sinusoid
2.5
1
0
49
0.062584
Calculate the compound interest: $100 invested at 6.258426728% annual rate for 6 years. FINAL:
143.939599
143.939599
exponential_interest
0
sinusoid
2.5
1
0
50
0.062836
Calculate the compound interest: $100 invested at 6.283625759% annual rate for 6 years. FINAL:
144.144531
144.144531
exponential_interest
0
sinusoid
2.5
1
0
51
0.063254
Calculate the compound interest: $100 invested at 6.325354412% annual rate for 6 years. FINAL:
144.484425
144.484425
exponential_interest
0
sinusoid
2.5
1
0
52
0.063832
Calculate the compound interest: $100 invested at 6.383210818% annual rate for 6 years. FINAL:
144.95679
144.95679
exponential_interest
0
sinusoid
2.5
1
0
53
0.064566
Calculate the compound interest: $100 invested at 6.456637787% annual rate for 6 years. FINAL:
145.558132
145.558132
exponential_interest
0
sinusoid
2.5
1
0
54
0.065449
Calculate the compound interest: $100 invested at 6.544928178% annual rate for 6 years. FINAL:
146.283952
146.283952
exponential_interest
0
sinusoid
2.5
1
0
55
0.066472
Calculate the compound interest: $100 invested at 6.647231707% annual rate for 6 years. FINAL:
147.128742
147.128742
exponential_interest
0
sinusoid
2.5
1
0
56
0.067626
Calculate the compound interest: $100 invested at 6.762563133% annual rate for 6 years. FINAL:
148.085982
148.085982
exponential_interest
0
sinusoid
2.5
1
0
57
0.068898
Calculate the compound interest: $100 invested at 6.889811753% annual rate for 6 years. FINAL:
149.148151
149.148151
exponential_interest
0
sinusoid
2.5
1
0
58
0.070278
Calculate the compound interest: $100 invested at 7.027752092% annual rate for 6 years. FINAL:
150.306729
150.306729
exponential_interest
0
sinusoid
2.5
1
0
59
0.071751
Calculate the compound interest: $100 invested at 7.175055711% annual rate for 6 years. FINAL:
151.552222
151.552222
exponential_interest
0
sinusoid
2.5
1
0
60
0.073303
Calculate the compound interest: $100 invested at 7.330303993% annual rate for 6 years. FINAL:
152.874186
152.874186
exponential_interest
0
sinusoid
2.5
1
0
61
0.07492
Calculate the compound interest: $100 invested at 7.492001815% annual rate for 6 years. FINAL:
154.261271
154.261271
exponential_interest
0
sinusoid
2.5
1
0
62
0.076586
Calculate the compound interest: $100 invested at 7.658591936% annual rate for 6 years. FINAL:
155.701276
155.701276
exponential_interest
0
sinusoid
2.5
1
0
63
0.078285
Calculate the compound interest: $100 invested at 7.828470004% annual rate for 6 years. FINAL:
157.181221
157.181221
exponential_interest
0
sinusoid
2.5
2
0
0
0.08
Calculate the compound interest: $100 invested at 8% annual rate for 6 years. FINAL:
158.687432
158.687432
exponential_interest
0
sinusoid
2.5
2
0
1
0.083414
Calculate the compound interest: $100 invested at 8.341408064% annual rate for 6 years. FINAL:
161.721162
161.721162
exponential_interest
0
sinusoid
2.5
2
0
2
0.086697
Calculate the compound interest: $100 invested at 8.669696007% annual rate for 6 years. FINAL:
164.683737
164.683737
exponential_interest
0
sinusoid
2.5
2
0
3
0.089722
Calculate the compound interest: $100 invested at 8.972247908% annual rate for 6 years. FINAL:
167.453974
167.453974
exponential_interest
0
sinusoid
2.5
2
0
4
0.092374
Calculate the compound interest: $100 invested at 9.237436867% annual rate for 6 years. FINAL:
169.913939
169.913939
exponential_interest
0
sinusoid
2.5
2
0
5
0.094551
Calculate the compound interest: $100 invested at 9.455071822% annual rate for 6 years. FINAL:
171.955211
171.955211
exponential_interest
0
sinusoid
2.5
2
0
6
0.096168
Calculate the compound interest: $100 invested at 9.616789182% annual rate for 6 years. FINAL:
173.485212
173.485212
exponential_interest
0
sinusoid
2.5
2
0
7
0.097164
Calculate the compound interest: $100 invested at 9.716374241% annual rate for 6 years. FINAL:
174.433013
174.433013
exponential_interest
0
sinusoid
2.5
2
0
8
0.0975
Calculate the compound interest: $100 invested at 9.75% annual rate for 6 years. FINAL:
174.754019
174.754019
exponential_interest
0
sinusoid
2.5
2
0
9
0.097164
Calculate the compound interest: $100 invested at 9.716374241% annual rate for 6 years. FINAL:
174.433013
174.433013
exponential_interest
0
sinusoid
2.5
2
0
10
0.096168
Calculate the compound interest: $100 invested at 9.616789182% annual rate for 6 years. FINAL:
173.485212
173.485212
exponential_interest
0
sinusoid
2.5
2
0
11
0.094551
Calculate the compound interest: $100 invested at 9.455071822% annual rate for 6 years. FINAL:
171.955211
171.955211
exponential_interest
0
sinusoid
2.5
2
0
12
0.092374
Calculate the compound interest: $100 invested at 9.237436867% annual rate for 6 years. FINAL:
169.913939
169.913939
exponential_interest
0
sinusoid
2.5
2
0
13
0.089722
Calculate the compound interest: $100 invested at 8.972247908% annual rate for 6 years. FINAL:
167.453974
167.453974
exponential_interest
0
sinusoid
2.5
2
0
14
0.086697
Calculate the compound interest: $100 invested at 8.669696007% annual rate for 6 years. FINAL:
164.683737
164.683737
exponential_interest
0
sinusoid
2.5
2
0
15
0.083414
Calculate the compound interest: $100 invested at 8.341408064% annual rate for 6 years. FINAL:
161.721162
161.721162
exponential_interest
0
sinusoid
2.5
2
0
16
0.08
Calculate the compound interest: $100 invested at 8% annual rate for 6 years. FINAL:
158.687432
158.687432
exponential_interest
0
sinusoid
2.5
2
0
17
0.076586
Calculate the compound interest: $100 invested at 7.658591936% annual rate for 6 years. FINAL:
155.701276
155.701276
exponential_interest
0
sinusoid
2.5
2
0
18
0.073303
Calculate the compound interest: $100 invested at 7.330303993% annual rate for 6 years. FINAL:
152.874186
152.874186
exponential_interest
0
sinusoid
2.5
2
0
19
0.070278
Calculate the compound interest: $100 invested at 7.027752092% annual rate for 6 years. FINAL:
150.306729
150.306729
exponential_interest
0
sinusoid
2.5
2
0
20
0.067626
Calculate the compound interest: $100 invested at 6.762563133% annual rate for 6 years. FINAL:
148.085982
148.085982
exponential_interest
0
sinusoid
2.5
2
0
21
0.065449
Calculate the compound interest: $100 invested at 6.544928178% annual rate for 6 years. FINAL:
146.283952
146.283952
exponential_interest
0
sinusoid
2.5
2
0
22
0.063832
Calculate the compound interest: $100 invested at 6.383210818% annual rate for 6 years. FINAL:
144.95679
144.95679
exponential_interest
0
sinusoid
2.5
2
0
23
0.062836
Calculate the compound interest: $100 invested at 6.283625759% annual rate for 6 years. FINAL:
144.144531
144.144531
exponential_interest
0
sinusoid
2.5
2
0
24
0.0625
Calculate the compound interest: $100 invested at 6.25% annual rate for 6 years. FINAL:
143.871123
143.871123
exponential_interest
0
sinusoid
2.5
2
0
25
0.062836
Calculate the compound interest: $100 invested at 6.283625759% annual rate for 6 years. FINAL:
144.144531
144.144531
exponential_interest
0
sinusoid
2.5
2
0
26
0.063832
Calculate the compound interest: $100 invested at 6.383210818% annual rate for 6 years. FINAL:
144.95679
144.95679
exponential_interest
0
sinusoid
2.5
2
0
27
0.065449
Calculate the compound interest: $100 invested at 6.544928178% annual rate for 6 years. FINAL:
146.283952
146.283952
exponential_interest
0
sinusoid
2.5
2
0
28
0.067626
Calculate the compound interest: $100 invested at 6.762563133% annual rate for 6 years. FINAL:
148.085982
148.085982
exponential_interest
0
sinusoid
2.5
2
0
29
0.070278
Calculate the compound interest: $100 invested at 7.027752092% annual rate for 6 years. FINAL:
150.306729
150.306729
exponential_interest
0
sinusoid
2.5
2
0
30
0.073303
Calculate the compound interest: $100 invested at 7.330303993% annual rate for 6 years. FINAL:
152.874186
152.874186
exponential_interest
0
sinusoid
2.5
2
0
31
0.076586
Calculate the compound interest: $100 invested at 7.658591936% annual rate for 6 years. FINAL:
155.701276
155.701276
exponential_interest
0
sinusoid
2.5
2
0
32
0.08
Calculate the compound interest: $100 invested at 8% annual rate for 6 years. FINAL:
158.687432
158.687432
exponential_interest
0
sinusoid
2.5
2
0
33
0.083414
Calculate the compound interest: $100 invested at 8.341408064% annual rate for 6 years. FINAL:
161.721162
161.721162
exponential_interest
0
sinusoid
2.5
2
0
34
0.086697
Calculate the compound interest: $100 invested at 8.669696007% annual rate for 6 years. FINAL:
164.683737
164.683737
exponential_interest
0
sinusoid
2.5
2
0
35
0.089722
Calculate the compound interest: $100 invested at 8.972247908% annual rate for 6 years. FINAL:
167.453974
167.453974
exponential_interest
0
sinusoid
2.5
2
0
36
0.092374
Calculate the compound interest: $100 invested at 9.237436867% annual rate for 6 years. FINAL:
169.913939
169.913939
exponential_interest
0
sinusoid
2.5
2
0
37
0.094551
Calculate the compound interest: $100 invested at 9.455071822% annual rate for 6 years. FINAL:
171.955211
171.955211
exponential_interest
0
sinusoid
2.5
2
0
38
0.096168
Calculate the compound interest: $100 invested at 9.616789182% annual rate for 6 years. FINAL:
173.485212
173.485212
exponential_interest
0
sinusoid
2.5
2
0
39
0.097164
Calculate the compound interest: $100 invested at 9.716374241% annual rate for 6 years. FINAL:
174.433013
174.433013
exponential_interest
0
sinusoid
2.5
2
0
40
0.0975
Calculate the compound interest: $100 invested at 9.75% annual rate for 6 years. FINAL:
174.754019
174.754019
exponential_interest
0
sinusoid
2.5
2
0
41
0.097164
Calculate the compound interest: $100 invested at 9.716374241% annual rate for 6 years. FINAL:
174.433013
174.433013
exponential_interest
0
sinusoid
2.5
2
0
42
0.096168
Calculate the compound interest: $100 invested at 9.616789182% annual rate for 6 years. FINAL:
173.485212
173.485212
exponential_interest
0
sinusoid
2.5
2
0
43
0.094551
Calculate the compound interest: $100 invested at 9.455071822% annual rate for 6 years. FINAL:
171.955211
171.955211
exponential_interest
0
sinusoid
2.5
2
0
44
0.092374
Calculate the compound interest: $100 invested at 9.237436867% annual rate for 6 years. FINAL:
169.913939
169.913939
exponential_interest
0
sinusoid
2.5
2
0
45
0.089722
Calculate the compound interest: $100 invested at 8.972247908% annual rate for 6 years. FINAL:
167.453974
167.453974
exponential_interest
0
sinusoid
2.5
2
0
46
0.086697
Calculate the compound interest: $100 invested at 8.669696007% annual rate for 6 years. FINAL:
164.683737
164.683737
exponential_interest
0
sinusoid
2.5
2
0
47
0.083414
Calculate the compound interest: $100 invested at 8.341408064% annual rate for 6 years. FINAL:
161.721162
161.721162
exponential_interest
0
sinusoid
2.5
2
0
48
0.08
Calculate the compound interest: $100 invested at 8% annual rate for 6 years. FINAL:
158.687432
158.687432
exponential_interest
0
sinusoid
2.5
2
0
49
0.076586
Calculate the compound interest: $100 invested at 7.658591936% annual rate for 6 years. FINAL:
155.701276
155.701276
exponential_interest
0
sinusoid
2.5
2
0
50
0.073303
Calculate the compound interest: $100 invested at 7.330303993% annual rate for 6 years. FINAL:
152.874186
152.874186
exponential_interest
0
sinusoid
2.5
2
0
51
0.070278
Calculate the compound interest: $100 invested at 7.027752092% annual rate for 6 years. FINAL:
150.306729
150.306729
exponential_interest
0
sinusoid
2.5
2
0
52
0.067626
Calculate the compound interest: $100 invested at 6.762563133% annual rate for 6 years. FINAL:
148.085982
148.085982
exponential_interest
0
sinusoid
2.5
2
0
53
0.065449
Calculate the compound interest: $100 invested at 6.544928178% annual rate for 6 years. FINAL:
146.283952
146.283952
exponential_interest
0
sinusoid
2.5
2
0
54
0.063832
Calculate the compound interest: $100 invested at 6.383210818% annual rate for 6 years. FINAL:
144.95679
144.95679
exponential_interest
0
sinusoid
2.5
2
0
55
0.062836
Calculate the compound interest: $100 invested at 6.283625759% annual rate for 6 years. FINAL:
144.144531
144.144531
exponential_interest
0
sinusoid
2.5
2
0
56
0.0625
Calculate the compound interest: $100 invested at 6.25% annual rate for 6 years. FINAL:
143.871123
143.871123
exponential_interest
0
sinusoid
2.5
2
0
57
0.062836
Calculate the compound interest: $100 invested at 6.283625759% annual rate for 6 years. FINAL:
144.144531
144.144531
exponential_interest
0
sinusoid
2.5
2
0
58
0.063832
Calculate the compound interest: $100 invested at 6.383210818% annual rate for 6 years. FINAL:
144.95679
144.95679
exponential_interest
0
sinusoid
2.5
2
0
59
0.065449
Calculate the compound interest: $100 invested at 6.544928178% annual rate for 6 years. FINAL:
146.283952
146.283952
exponential_interest
0
sinusoid
2.5
2
0
60
0.067626
Calculate the compound interest: $100 invested at 6.762563133% annual rate for 6 years. FINAL:
148.085982
148.085982
exponential_interest
0
sinusoid
2.5
2
0
61
0.070278
Calculate the compound interest: $100 invested at 7.027752092% annual rate for 6 years. FINAL:
150.306729
150.306729
exponential_interest
0
sinusoid
2.5
2
0
62
0.073303
Calculate the compound interest: $100 invested at 7.330303993% annual rate for 6 years. FINAL:
152.874186
152.874186
exponential_interest
0
sinusoid
2.5
2
0
63
0.076586
Calculate the compound interest: $100 invested at 7.658591936% annual rate for 6 years. FINAL:
155.701276
155.701276
exponential_interest
0
sinusoid
2.5
4
0
0
0.08
Calculate the compound interest: $100 invested at 8% annual rate for 6 years. FINAL:
158.687432
158.687432
exponential_interest
0
sinusoid
2.5
4
0
1
0.086697
Calculate the compound interest: $100 invested at 8.669696007% annual rate for 6 years. FINAL:
164.683737
164.683737
exponential_interest
0
sinusoid
2.5
4
0
2
0.092374
Calculate the compound interest: $100 invested at 9.237436867% annual rate for 6 years. FINAL:
169.913939
169.913939
exponential_interest
0
sinusoid
2.5
4
0
3
0.096168
Calculate the compound interest: $100 invested at 9.616789182% annual rate for 6 years. FINAL:
173.485212
173.485212
exponential_interest
0
sinusoid
2.5
4
0
4
0.0975
Calculate the compound interest: $100 invested at 9.75% annual rate for 6 years. FINAL:
174.754019
174.754019
exponential_interest
0
sinusoid
2.5
4
0
5
0.096168
Calculate the compound interest: $100 invested at 9.616789182% annual rate for 6 years. FINAL:
173.485212
173.485212
exponential_interest
0
sinusoid
2.5
4
0
6
0.092374
Calculate the compound interest: $100 invested at 9.237436867% annual rate for 6 years. FINAL:
169.913939
169.913939
exponential_interest
0
sinusoid
2.5
4
0
7
0.086697
Calculate the compound interest: $100 invested at 8.669696007% annual rate for 6 years. FINAL:
164.683737
164.683737
exponential_interest
0
sinusoid
2.5
4
0
8
0.08
Calculate the compound interest: $100 invested at 8% annual rate for 6 years. FINAL:
158.687432
158.687432
exponential_interest
0
sinusoid
2.5
4
0
9
0.073303
Calculate the compound interest: $100 invested at 7.330303993% annual rate for 6 years. FINAL:
152.874186
152.874186
exponential_interest
0
sinusoid
2.5
4
0
10
0.067626
Calculate the compound interest: $100 invested at 6.762563133% annual rate for 6 years. FINAL:
148.085982
148.085982
exponential_interest
0
sinusoid
2.5
4
0
11
0.063832
Calculate the compound interest: $100 invested at 6.383210818% annual rate for 6 years. FINAL:
144.95679
144.95679