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
2
sinusoid
1
16
240
4
0.073938
Calculate the compound interest: $150 invested at 7.393782217% annual rate for 4 years. FINAL:
199.52982
199.52982
exponential_interest
2
sinusoid
1
16
240
5
0.0765
Calculate the compound interest: $150 invested at 7.65% annual rate for 4 years. FINAL:
201.440781
201.440781
exponential_interest
2
sinusoid
1
16
240
6
0.086062
Calculate the compound interest: $150 invested at 8.606217783% annual rate for 4 years. FINAL:
208.694026
208.694026
exponential_interest
2
sinusoid
1
16
240
7
0.0835
Calculate the compound interest: $150 invested at 8.35% annual rate for 4 years. FINAL:
206.731627
206.731627
exponential_interest
2
sinusoid
1
16
240
8
0.073938
Calculate the compound interest: $150 invested at 7.393782217% annual rate for 4 years. FINAL:
199.52982
199.52982
exponential_interest
2
sinusoid
1
16
240
9
0.0765
Calculate the compound interest: $150 invested at 7.65% annual rate for 4 years. FINAL:
201.440781
201.440781
exponential_interest
2
sinusoid
1
16
240
10
0.086062
Calculate the compound interest: $150 invested at 8.606217783% annual rate for 4 years. FINAL:
208.694026
208.694026
exponential_interest
2
sinusoid
1
16
240
11
0.0835
Calculate the compound interest: $150 invested at 8.35% annual rate for 4 years. FINAL:
206.731627
206.731627
exponential_interest
2
sinusoid
1
16
240
12
0.073938
Calculate the compound interest: $150 invested at 7.393782217% annual rate for 4 years. FINAL:
199.52982
199.52982
exponential_interest
2
sinusoid
1
16
240
13
0.0765
Calculate the compound interest: $150 invested at 7.65% annual rate for 4 years. FINAL:
201.440781
201.440781
exponential_interest
2
sinusoid
1
16
240
14
0.086062
Calculate the compound interest: $150 invested at 8.606217783% annual rate for 4 years. FINAL:
208.694026
208.694026
exponential_interest
2
sinusoid
1
16
240
15
0.0835
Calculate the compound interest: $150 invested at 8.35% annual rate for 4 years. FINAL:
206.731627
206.731627
exponential_interest
2
sinusoid
1
16
240
16
0.073938
Calculate the compound interest: $150 invested at 7.393782217% annual rate for 4 years. FINAL:
199.52982
199.52982
exponential_interest
2
sinusoid
1
16
240
17
0.0765
Calculate the compound interest: $150 invested at 7.65% annual rate for 4 years. FINAL:
201.440781
201.440781
exponential_interest
2
sinusoid
1
16
240
18
0.086062
Calculate the compound interest: $150 invested at 8.606217783% annual rate for 4 years. FINAL:
208.694026
208.694026
exponential_interest
2
sinusoid
1
16
240
19
0.0835
Calculate the compound interest: $150 invested at 8.35% annual rate for 4 years. FINAL:
206.731627
206.731627
exponential_interest
2
sinusoid
1
16
240
20
0.073938
Calculate the compound interest: $150 invested at 7.393782217% annual rate for 4 years. FINAL:
199.52982
199.52982
exponential_interest
2
sinusoid
1
16
240
21
0.0765
Calculate the compound interest: $150 invested at 7.65% annual rate for 4 years. FINAL:
201.440781
201.440781
exponential_interest
2
sinusoid
1
16
240
22
0.086062
Calculate the compound interest: $150 invested at 8.606217783% annual rate for 4 years. FINAL:
208.694026
208.694026
exponential_interest
2
sinusoid
1
16
240
23
0.0835
Calculate the compound interest: $150 invested at 8.35% annual rate for 4 years. FINAL:
206.731627
206.731627
exponential_interest
2
sinusoid
1
16
240
24
0.073938
Calculate the compound interest: $150 invested at 7.393782217% annual rate for 4 years. FINAL:
199.52982
199.52982
exponential_interest
2
sinusoid
1
16
240
25
0.0765
Calculate the compound interest: $150 invested at 7.65% annual rate for 4 years. FINAL:
201.440781
201.440781
exponential_interest
2
sinusoid
1
16
240
26
0.086062
Calculate the compound interest: $150 invested at 8.606217783% annual rate for 4 years. FINAL:
208.694026
208.694026
exponential_interest
2
sinusoid
1
16
240
27
0.0835
Calculate the compound interest: $150 invested at 8.35% annual rate for 4 years. FINAL:
206.731627
206.731627
exponential_interest
2
sinusoid
1
16
240
28
0.073938
Calculate the compound interest: $150 invested at 7.393782217% annual rate for 4 years. FINAL:
199.52982
199.52982
exponential_interest
2
sinusoid
1
16
240
29
0.0765
Calculate the compound interest: $150 invested at 7.65% annual rate for 4 years. FINAL:
201.440781
201.440781
exponential_interest
2
sinusoid
1
16
240
30
0.086062
Calculate the compound interest: $150 invested at 8.606217783% annual rate for 4 years. FINAL:
208.694026
208.694026
exponential_interest
2
sinusoid
1
16
240
31
0.0835
Calculate the compound interest: $150 invested at 8.35% annual rate for 4 years. FINAL:
206.731627
206.731627
exponential_interest
2
sinusoid
1
16
240
32
0.073938
Calculate the compound interest: $150 invested at 7.393782217% annual rate for 4 years. FINAL:
199.52982
199.52982
exponential_interest
2
sinusoid
1
16
240
33
0.0765
Calculate the compound interest: $150 invested at 7.65% annual rate for 4 years. FINAL:
201.440781
201.440781
exponential_interest
2
sinusoid
1
16
240
34
0.086062
Calculate the compound interest: $150 invested at 8.606217783% annual rate for 4 years. FINAL:
208.694026
208.694026
exponential_interest
2
sinusoid
1
16
240
35
0.0835
Calculate the compound interest: $150 invested at 8.35% annual rate for 4 years. FINAL:
206.731627
206.731627
exponential_interest
2
sinusoid
1
16
240
36
0.073938
Calculate the compound interest: $150 invested at 7.393782217% annual rate for 4 years. FINAL:
199.52982
199.52982
exponential_interest
2
sinusoid
1
16
240
37
0.0765
Calculate the compound interest: $150 invested at 7.65% annual rate for 4 years. FINAL:
201.440781
201.440781
exponential_interest
2
sinusoid
1
16
240
38
0.086062
Calculate the compound interest: $150 invested at 8.606217783% annual rate for 4 years. FINAL:
208.694026
208.694026
exponential_interest
2
sinusoid
1
16
240
39
0.0835
Calculate the compound interest: $150 invested at 8.35% annual rate for 4 years. FINAL:
206.731627
206.731627
exponential_interest
2
sinusoid
1
16
240
40
0.073938
Calculate the compound interest: $150 invested at 7.393782217% annual rate for 4 years. FINAL:
199.52982
199.52982
exponential_interest
2
sinusoid
1
16
240
41
0.0765
Calculate the compound interest: $150 invested at 7.65% annual rate for 4 years. FINAL:
201.440781
201.440781
exponential_interest
2
sinusoid
1
16
240
42
0.086062
Calculate the compound interest: $150 invested at 8.606217783% annual rate for 4 years. FINAL:
208.694026
208.694026
exponential_interest
2
sinusoid
1
16
240
43
0.0835
Calculate the compound interest: $150 invested at 8.35% annual rate for 4 years. FINAL:
206.731627
206.731627
exponential_interest
2
sinusoid
1
16
240
44
0.073938
Calculate the compound interest: $150 invested at 7.393782217% annual rate for 4 years. FINAL:
199.52982
199.52982
exponential_interest
2
sinusoid
1
16
240
45
0.0765
Calculate the compound interest: $150 invested at 7.65% annual rate for 4 years. FINAL:
201.440781
201.440781
exponential_interest
2
sinusoid
1
16
240
46
0.086062
Calculate the compound interest: $150 invested at 8.606217783% annual rate for 4 years. FINAL:
208.694026
208.694026
exponential_interest
2
sinusoid
1
16
240
47
0.0835
Calculate the compound interest: $150 invested at 8.35% annual rate for 4 years. FINAL:
206.731627
206.731627
exponential_interest
2
sinusoid
1
16
240
48
0.073938
Calculate the compound interest: $150 invested at 7.393782217% annual rate for 4 years. FINAL:
199.52982
199.52982
exponential_interest
2
sinusoid
1
16
240
49
0.0765
Calculate the compound interest: $150 invested at 7.65% annual rate for 4 years. FINAL:
201.440781
201.440781
exponential_interest
2
sinusoid
1
16
240
50
0.086062
Calculate the compound interest: $150 invested at 8.606217783% annual rate for 4 years. FINAL:
208.694026
208.694026
exponential_interest
2
sinusoid
1
16
240
51
0.0835
Calculate the compound interest: $150 invested at 8.35% annual rate for 4 years. FINAL:
206.731627
206.731627
exponential_interest
2
sinusoid
1
16
240
52
0.073938
Calculate the compound interest: $150 invested at 7.393782217% annual rate for 4 years. FINAL:
199.52982
199.52982
exponential_interest
2
sinusoid
1
16
240
53
0.0765
Calculate the compound interest: $150 invested at 7.65% annual rate for 4 years. FINAL:
201.440781
201.440781
exponential_interest
2
sinusoid
1
16
240
54
0.086062
Calculate the compound interest: $150 invested at 8.606217783% annual rate for 4 years. FINAL:
208.694026
208.694026
exponential_interest
2
sinusoid
1
16
240
55
0.0835
Calculate the compound interest: $150 invested at 8.35% annual rate for 4 years. FINAL:
206.731627
206.731627
exponential_interest
2
sinusoid
1
16
240
56
0.073938
Calculate the compound interest: $150 invested at 7.393782217% annual rate for 4 years. FINAL:
199.52982
199.52982
exponential_interest
2
sinusoid
1
16
240
57
0.0765
Calculate the compound interest: $150 invested at 7.65% annual rate for 4 years. FINAL:
201.440781
201.440781
exponential_interest
2
sinusoid
1
16
240
58
0.086062
Calculate the compound interest: $150 invested at 8.606217783% annual rate for 4 years. FINAL:
208.694026
208.694026
exponential_interest
2
sinusoid
1
16
240
59
0.0835
Calculate the compound interest: $150 invested at 8.35% annual rate for 4 years. FINAL:
206.731627
206.731627
exponential_interest
2
sinusoid
1
16
240
60
0.073938
Calculate the compound interest: $150 invested at 7.393782217% annual rate for 4 years. FINAL:
199.52982
199.52982
exponential_interest
2
sinusoid
1
16
240
61
0.0765
Calculate the compound interest: $150 invested at 7.65% annual rate for 4 years. FINAL:
201.440781
201.440781
exponential_interest
2
sinusoid
1
16
240
62
0.086062
Calculate the compound interest: $150 invested at 8.606217783% annual rate for 4 years. FINAL:
208.694026
208.694026
exponential_interest
2
sinusoid
1
16
240
63
0.0835
Calculate the compound interest: $150 invested at 8.35% annual rate for 4 years. FINAL:
206.731627
206.731627
exponential_interest
0
sinusoid
2.5
1
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
1
0
1
0.081715
Calculate the compound interest: $100 invested at 8.171529996% annual rate for 6 years. FINAL:
160.205652
160.205652
exponential_interest
0
sinusoid
2.5
1
0
2
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
1
0
3
0.08508
Calculate the compound interest: $100 invested at 8.507998185% annual rate for 6 years. FINAL:
163.218923
163.218923
exponential_interest
0
sinusoid
2.5
1
0
4
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
1
0
5
0.088249
Calculate the compound interest: $100 invested at 8.824944289% annual rate for 6 years. FINAL:
166.100416
166.100416
exponential_interest
0
sinusoid
2.5
1
0
6
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
1
0
7
0.091102
Calculate the compound interest: $100 invested at 9.110188247% annual rate for 6 years. FINAL:
168.729815
168.729815
exponential_interest
0
sinusoid
2.5
1
0
8
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
1
0
9
0.093528
Calculate the compound interest: $100 invested at 9.352768293% annual rate for 6 years. FINAL:
170.993141
170.993141
exponential_interest
0
sinusoid
2.5
1
0
10
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
1
0
11
0.095434
Calculate the compound interest: $100 invested at 9.543362213% annual rate for 6 years. FINAL:
172.789123
172.789123
exponential_interest
0
sinusoid
2.5
1
0
12
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
1
0
13
0.096746
Calculate the compound interest: $100 invested at 9.674645588% annual rate for 6 years. FINAL:
174.035337
174.035337
exponential_interest
0
sinusoid
2.5
1
0
14
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
1
0
15
0.097416
Calculate the compound interest: $100 invested at 9.741573272% annual rate for 6 years. FINAL:
174.673528
174.673528
exponential_interest
0
sinusoid
2.5
1
0
16
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
1
0
17
0.097416
Calculate the compound interest: $100 invested at 9.741573272% annual rate for 6 years. FINAL:
174.673528
174.673528
exponential_interest
0
sinusoid
2.5
1
0
18
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
1
0
19
0.096746
Calculate the compound interest: $100 invested at 9.674645588% annual rate for 6 years. FINAL:
174.035337
174.035337
exponential_interest
0
sinusoid
2.5
1
0
20
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
1
0
21
0.095434
Calculate the compound interest: $100 invested at 9.543362213% annual rate for 6 years. FINAL:
172.789123
172.789123
exponential_interest
0
sinusoid
2.5
1
0
22
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
1
0
23
0.093528
Calculate the compound interest: $100 invested at 9.352768293% annual rate for 6 years. FINAL:
170.993141
170.993141
exponential_interest
0
sinusoid
2.5
1
0
24
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
1
0
25
0.091102
Calculate the compound interest: $100 invested at 9.110188247% annual rate for 6 years. FINAL:
168.729815
168.729815
exponential_interest
0
sinusoid
2.5
1
0
26
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
1
0
27
0.088249
Calculate the compound interest: $100 invested at 8.824944289% annual rate for 6 years. FINAL:
166.100416
166.100416
exponential_interest
0
sinusoid
2.5
1
0
28
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
1
0
29
0.08508
Calculate the compound interest: $100 invested at 8.507998185% annual rate for 6 years. FINAL:
163.218923
163.218923
exponential_interest
0
sinusoid
2.5
1
0
30
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
1
0
31
0.081715
Calculate the compound interest: $100 invested at 8.171529996% annual rate for 6 years. FINAL:
160.205652
160.205652
exponential_interest
0
sinusoid
2.5
1
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
1
0
33
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
1
0
34
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
35
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
36
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
37
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
38
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
39
0.068898
Calculate the compound interest: $100 invested at 6.889811753% annual rate for 6 years. FINAL:
149.148151
149.148151