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
2.5
2
0
56
0.0625
Calculate the compound interest: $150 invested at 6.25% annual rate for 4 years. FINAL:
191.164398
191.164398
exponential_interest
2
sinusoid
2.5
2
0
57
0.062836
Calculate the compound interest: $150 invested at 6.283625759% annual rate for 4 years. FINAL:
191.40651
191.40651
exponential_interest
2
sinusoid
2.5
2
0
58
0.063832
Calculate the compound interest: $150 invested at 6.383210818% annual rate for 4 years. FINAL:
192.124891
192.124891
exponential_interest
2
sinusoid
2.5
2
0
59
0.065449
Calculate the compound interest: $150 invested at 6.544928178% annual rate for 4 years. FINAL:
193.295785
193.295785
exponential_interest
2
sinusoid
2.5
2
0
60
0.067626
Calculate the compound interest: $150 invested at 6.762563133% annual rate for 4 years. FINAL:
194.87998
194.87998
exponential_interest
2
sinusoid
2.5
2
0
61
0.070278
Calculate the compound interest: $150 invested at 7.027752092% annual rate for 4 years. FINAL:
196.823466
196.823466
exponential_interest
2
sinusoid
2.5
2
0
62
0.073303
Calculate the compound interest: $150 invested at 7.330303993% annual rate for 4 years. FINAL:
199.058486
199.058486
exponential_interest
2
sinusoid
2.5
2
0
63
0.076586
Calculate the compound interest: $150 invested at 7.658591936% annual rate for 4 years. FINAL:
201.505099
201.505099
exponential_interest
2
sinusoid
2.5
4
0
0
0.08
Calculate the compound interest: $150 invested at 8% annual rate for 4 years. FINAL:
204.073344
204.073344
exponential_interest
2
sinusoid
2.5
4
0
1
0.086697
Calculate the compound interest: $150 invested at 8.669696007% annual rate for 4 years. FINAL:
209.182364
209.182364
exponential_interest
2
sinusoid
2.5
4
0
2
0.092374
Calculate the compound interest: $150 invested at 9.237436867% annual rate for 4 years. FINAL:
213.588204
213.588204
exponential_interest
2
sinusoid
2.5
4
0
3
0.096168
Calculate the compound interest: $150 invested at 9.616789182% annual rate for 4 years. FINAL:
216.570633
216.570633
exponential_interest
2
sinusoid
2.5
4
0
4
0.0975
Calculate the compound interest: $150 invested at 9.75% annual rate for 4 years. FINAL:
217.625296
217.625296
exponential_interest
2
sinusoid
2.5
4
0
5
0.096168
Calculate the compound interest: $150 invested at 9.616789182% annual rate for 4 years. FINAL:
216.570633
216.570633
exponential_interest
2
sinusoid
2.5
4
0
6
0.092374
Calculate the compound interest: $150 invested at 9.237436867% annual rate for 4 years. FINAL:
213.588204
213.588204
exponential_interest
2
sinusoid
2.5
4
0
7
0.086697
Calculate the compound interest: $150 invested at 8.669696007% annual rate for 4 years. FINAL:
209.182364
209.182364
exponential_interest
2
sinusoid
2.5
4
0
8
0.08
Calculate the compound interest: $150 invested at 8% annual rate for 4 years. FINAL:
204.073344
204.073344
exponential_interest
2
sinusoid
2.5
4
0
9
0.073303
Calculate the compound interest: $150 invested at 7.330303993% annual rate for 4 years. FINAL:
199.058486
199.058486
exponential_interest
2
sinusoid
2.5
4
0
10
0.067626
Calculate the compound interest: $150 invested at 6.762563133% annual rate for 4 years. FINAL:
194.87998
194.87998
exponential_interest
2
sinusoid
2.5
4
0
11
0.063832
Calculate the compound interest: $150 invested at 6.383210818% annual rate for 4 years. FINAL:
192.124891
192.124891
exponential_interest
2
sinusoid
2.5
4
0
12
0.0625
Calculate the compound interest: $150 invested at 6.25% annual rate for 4 years. FINAL:
191.164398
191.164398
exponential_interest
2
sinusoid
2.5
4
0
13
0.063832
Calculate the compound interest: $150 invested at 6.383210818% annual rate for 4 years. FINAL:
192.124891
192.124891
exponential_interest
2
sinusoid
2.5
4
0
14
0.067626
Calculate the compound interest: $150 invested at 6.762563133% annual rate for 4 years. FINAL:
194.87998
194.87998
exponential_interest
2
sinusoid
2.5
4
0
15
0.073303
Calculate the compound interest: $150 invested at 7.330303993% annual rate for 4 years. FINAL:
199.058486
199.058486
exponential_interest
2
sinusoid
2.5
4
0
16
0.08
Calculate the compound interest: $150 invested at 8% annual rate for 4 years. FINAL:
204.073344
204.073344
exponential_interest
2
sinusoid
2.5
4
0
17
0.086697
Calculate the compound interest: $150 invested at 8.669696007% annual rate for 4 years. FINAL:
209.182364
209.182364
exponential_interest
2
sinusoid
2.5
4
0
18
0.092374
Calculate the compound interest: $150 invested at 9.237436867% annual rate for 4 years. FINAL:
213.588204
213.588204
exponential_interest
2
sinusoid
2.5
4
0
19
0.096168
Calculate the compound interest: $150 invested at 9.616789182% annual rate for 4 years. FINAL:
216.570633
216.570633
exponential_interest
2
sinusoid
2.5
4
0
20
0.0975
Calculate the compound interest: $150 invested at 9.75% annual rate for 4 years. FINAL:
217.625296
217.625296
exponential_interest
2
sinusoid
2.5
4
0
21
0.096168
Calculate the compound interest: $150 invested at 9.616789182% annual rate for 4 years. FINAL:
216.570633
216.570633
exponential_interest
2
sinusoid
2.5
4
0
22
0.092374
Calculate the compound interest: $150 invested at 9.237436867% annual rate for 4 years. FINAL:
213.588204
213.588204
exponential_interest
2
sinusoid
2.5
4
0
23
0.086697
Calculate the compound interest: $150 invested at 8.669696007% annual rate for 4 years. FINAL:
209.182364
209.182364
exponential_interest
2
sinusoid
2.5
4
0
24
0.08
Calculate the compound interest: $150 invested at 8% annual rate for 4 years. FINAL:
204.073344
204.073344
exponential_interest
2
sinusoid
2.5
4
0
25
0.073303
Calculate the compound interest: $150 invested at 7.330303993% annual rate for 4 years. FINAL:
199.058486
199.058486
exponential_interest
2
sinusoid
2.5
4
0
26
0.067626
Calculate the compound interest: $150 invested at 6.762563133% annual rate for 4 years. FINAL:
194.87998
194.87998
exponential_interest
2
sinusoid
2.5
4
0
27
0.063832
Calculate the compound interest: $150 invested at 6.383210818% annual rate for 4 years. FINAL:
192.124891
192.124891
exponential_interest
2
sinusoid
2.5
4
0
28
0.0625
Calculate the compound interest: $150 invested at 6.25% annual rate for 4 years. FINAL:
191.164398
191.164398
exponential_interest
2
sinusoid
2.5
4
0
29
0.063832
Calculate the compound interest: $150 invested at 6.383210818% annual rate for 4 years. FINAL:
192.124891
192.124891
exponential_interest
2
sinusoid
2.5
4
0
30
0.067626
Calculate the compound interest: $150 invested at 6.762563133% annual rate for 4 years. FINAL:
194.87998
194.87998
exponential_interest
2
sinusoid
2.5
4
0
31
0.073303
Calculate the compound interest: $150 invested at 7.330303993% annual rate for 4 years. FINAL:
199.058486
199.058486
exponential_interest
2
sinusoid
2.5
4
0
32
0.08
Calculate the compound interest: $150 invested at 8% annual rate for 4 years. FINAL:
204.073344
204.073344
exponential_interest
2
sinusoid
2.5
4
0
33
0.086697
Calculate the compound interest: $150 invested at 8.669696007% annual rate for 4 years. FINAL:
209.182364
209.182364
exponential_interest
2
sinusoid
2.5
4
0
34
0.092374
Calculate the compound interest: $150 invested at 9.237436867% annual rate for 4 years. FINAL:
213.588204
213.588204
exponential_interest
2
sinusoid
2.5
4
0
35
0.096168
Calculate the compound interest: $150 invested at 9.616789182% annual rate for 4 years. FINAL:
216.570633
216.570633
exponential_interest
2
sinusoid
2.5
4
0
36
0.0975
Calculate the compound interest: $150 invested at 9.75% annual rate for 4 years. FINAL:
217.625296
217.625296
exponential_interest
2
sinusoid
2.5
4
0
37
0.096168
Calculate the compound interest: $150 invested at 9.616789182% annual rate for 4 years. FINAL:
216.570633
216.570633
exponential_interest
2
sinusoid
2.5
4
0
38
0.092374
Calculate the compound interest: $150 invested at 9.237436867% annual rate for 4 years. FINAL:
213.588204
213.588204
exponential_interest
2
sinusoid
2.5
4
0
39
0.086697
Calculate the compound interest: $150 invested at 8.669696007% annual rate for 4 years. FINAL:
209.182364
209.182364
exponential_interest
2
sinusoid
2.5
4
0
40
0.08
Calculate the compound interest: $150 invested at 8% annual rate for 4 years. FINAL:
204.073344
204.073344
exponential_interest
2
sinusoid
2.5
4
0
41
0.073303
Calculate the compound interest: $150 invested at 7.330303993% annual rate for 4 years. FINAL:
199.058486
199.058486
exponential_interest
2
sinusoid
2.5
4
0
42
0.067626
Calculate the compound interest: $150 invested at 6.762563133% annual rate for 4 years. FINAL:
194.87998
194.87998
exponential_interest
2
sinusoid
2.5
4
0
43
0.063832
Calculate the compound interest: $150 invested at 6.383210818% annual rate for 4 years. FINAL:
192.124891
192.124891
exponential_interest
2
sinusoid
2.5
4
0
44
0.0625
Calculate the compound interest: $150 invested at 6.25% annual rate for 4 years. FINAL:
191.164398
191.164398
exponential_interest
2
sinusoid
2.5
4
0
45
0.063832
Calculate the compound interest: $150 invested at 6.383210818% annual rate for 4 years. FINAL:
192.124891
192.124891
exponential_interest
2
sinusoid
2.5
4
0
46
0.067626
Calculate the compound interest: $150 invested at 6.762563133% annual rate for 4 years. FINAL:
194.87998
194.87998
exponential_interest
2
sinusoid
2.5
4
0
47
0.073303
Calculate the compound interest: $150 invested at 7.330303993% annual rate for 4 years. FINAL:
199.058486
199.058486
exponential_interest
2
sinusoid
2.5
4
0
48
0.08
Calculate the compound interest: $150 invested at 8% annual rate for 4 years. FINAL:
204.073344
204.073344
exponential_interest
2
sinusoid
2.5
4
0
49
0.086697
Calculate the compound interest: $150 invested at 8.669696007% annual rate for 4 years. FINAL:
209.182364
209.182364
exponential_interest
2
sinusoid
2.5
4
0
50
0.092374
Calculate the compound interest: $150 invested at 9.237436867% annual rate for 4 years. FINAL:
213.588204
213.588204
exponential_interest
2
sinusoid
2.5
4
0
51
0.096168
Calculate the compound interest: $150 invested at 9.616789182% annual rate for 4 years. FINAL:
216.570633
216.570633
exponential_interest
2
sinusoid
2.5
4
0
52
0.0975
Calculate the compound interest: $150 invested at 9.75% annual rate for 4 years. FINAL:
217.625296
217.625296
exponential_interest
2
sinusoid
2.5
4
0
53
0.096168
Calculate the compound interest: $150 invested at 9.616789182% annual rate for 4 years. FINAL:
216.570633
216.570633
exponential_interest
2
sinusoid
2.5
4
0
54
0.092374
Calculate the compound interest: $150 invested at 9.237436867% annual rate for 4 years. FINAL:
213.588204
213.588204
exponential_interest
2
sinusoid
2.5
4
0
55
0.086697
Calculate the compound interest: $150 invested at 8.669696007% annual rate for 4 years. FINAL:
209.182364
209.182364
exponential_interest
2
sinusoid
2.5
4
0
56
0.08
Calculate the compound interest: $150 invested at 8% annual rate for 4 years. FINAL:
204.073344
204.073344
exponential_interest
2
sinusoid
2.5
4
0
57
0.073303
Calculate the compound interest: $150 invested at 7.330303993% annual rate for 4 years. FINAL:
199.058486
199.058486
exponential_interest
2
sinusoid
2.5
4
0
58
0.067626
Calculate the compound interest: $150 invested at 6.762563133% annual rate for 4 years. FINAL:
194.87998
194.87998
exponential_interest
2
sinusoid
2.5
4
0
59
0.063832
Calculate the compound interest: $150 invested at 6.383210818% annual rate for 4 years. FINAL:
192.124891
192.124891
exponential_interest
2
sinusoid
2.5
4
0
60
0.0625
Calculate the compound interest: $150 invested at 6.25% annual rate for 4 years. FINAL:
191.164398
191.164398
exponential_interest
2
sinusoid
2.5
4
0
61
0.063832
Calculate the compound interest: $150 invested at 6.383210818% annual rate for 4 years. FINAL:
192.124891
192.124891
exponential_interest
2
sinusoid
2.5
4
0
62
0.067626
Calculate the compound interest: $150 invested at 6.762563133% annual rate for 4 years. FINAL:
194.87998
194.87998
exponential_interest
2
sinusoid
2.5
4
0
63
0.073303
Calculate the compound interest: $150 invested at 7.330303993% annual rate for 4 years. FINAL:
199.058486
199.058486
exponential_interest
2
sinusoid
2.5
8
0
0
0.08
Calculate the compound interest: $150 invested at 8% annual rate for 4 years. FINAL:
204.073344
204.073344
exponential_interest
2
sinusoid
2.5
8
0
1
0.092374
Calculate the compound interest: $150 invested at 9.237436867% annual rate for 4 years. FINAL:
213.588204
213.588204
exponential_interest
2
sinusoid
2.5
8
0
2
0.0975
Calculate the compound interest: $150 invested at 9.75% annual rate for 4 years. FINAL:
217.625296
217.625296
exponential_interest
2
sinusoid
2.5
8
0
3
0.092374
Calculate the compound interest: $150 invested at 9.237436867% annual rate for 4 years. FINAL:
213.588204
213.588204
exponential_interest
2
sinusoid
2.5
8
0
4
0.08
Calculate the compound interest: $150 invested at 8% annual rate for 4 years. FINAL:
204.073344
204.073344
exponential_interest
2
sinusoid
2.5
8
0
5
0.067626
Calculate the compound interest: $150 invested at 6.762563133% annual rate for 4 years. FINAL:
194.87998
194.87998
exponential_interest
2
sinusoid
2.5
8
0
6
0.0625
Calculate the compound interest: $150 invested at 6.25% annual rate for 4 years. FINAL:
191.164398
191.164398
exponential_interest
2
sinusoid
2.5
8
0
7
0.067626
Calculate the compound interest: $150 invested at 6.762563133% annual rate for 4 years. FINAL:
194.87998
194.87998
exponential_interest
2
sinusoid
2.5
8
0
8
0.08
Calculate the compound interest: $150 invested at 8% annual rate for 4 years. FINAL:
204.073344
204.073344
exponential_interest
2
sinusoid
2.5
8
0
9
0.092374
Calculate the compound interest: $150 invested at 9.237436867% annual rate for 4 years. FINAL:
213.588204
213.588204
exponential_interest
2
sinusoid
2.5
8
0
10
0.0975
Calculate the compound interest: $150 invested at 9.75% annual rate for 4 years. FINAL:
217.625296
217.625296
exponential_interest
2
sinusoid
2.5
8
0
11
0.092374
Calculate the compound interest: $150 invested at 9.237436867% annual rate for 4 years. FINAL:
213.588204
213.588204
exponential_interest
2
sinusoid
2.5
8
0
12
0.08
Calculate the compound interest: $150 invested at 8% annual rate for 4 years. FINAL:
204.073344
204.073344
exponential_interest
2
sinusoid
2.5
8
0
13
0.067626
Calculate the compound interest: $150 invested at 6.762563133% annual rate for 4 years. FINAL:
194.87998
194.87998
exponential_interest
2
sinusoid
2.5
8
0
14
0.0625
Calculate the compound interest: $150 invested at 6.25% annual rate for 4 years. FINAL:
191.164398
191.164398
exponential_interest
2
sinusoid
2.5
8
0
15
0.067626
Calculate the compound interest: $150 invested at 6.762563133% annual rate for 4 years. FINAL:
194.87998
194.87998
exponential_interest
2
sinusoid
2.5
8
0
16
0.08
Calculate the compound interest: $150 invested at 8% annual rate for 4 years. FINAL:
204.073344
204.073344
exponential_interest
2
sinusoid
2.5
8
0
17
0.092374
Calculate the compound interest: $150 invested at 9.237436867% annual rate for 4 years. FINAL:
213.588204
213.588204
exponential_interest
2
sinusoid
2.5
8
0
18
0.0975
Calculate the compound interest: $150 invested at 9.75% annual rate for 4 years. FINAL:
217.625296
217.625296
exponential_interest
2
sinusoid
2.5
8
0
19
0.092374
Calculate the compound interest: $150 invested at 9.237436867% annual rate for 4 years. FINAL:
213.588204
213.588204
exponential_interest
2
sinusoid
2.5
8
0
20
0.08
Calculate the compound interest: $150 invested at 8% annual rate for 4 years. FINAL:
204.073344
204.073344
exponential_interest
2
sinusoid
2.5
8
0
21
0.067626
Calculate the compound interest: $150 invested at 6.762563133% annual rate for 4 years. FINAL:
194.87998
194.87998
exponential_interest
2
sinusoid
2.5
8
0
22
0.0625
Calculate the compound interest: $150 invested at 6.25% annual rate for 4 years. FINAL:
191.164398
191.164398
exponential_interest
2
sinusoid
2.5
8
0
23
0.067626
Calculate the compound interest: $150 invested at 6.762563133% annual rate for 4 years. FINAL:
194.87998
194.87998
exponential_interest
2
sinusoid
2.5
8
0
24
0.08
Calculate the compound interest: $150 invested at 8% annual rate for 4 years. FINAL:
204.073344
204.073344
exponential_interest
2
sinusoid
2.5
8
0
25
0.092374
Calculate the compound interest: $150 invested at 9.237436867% annual rate for 4 years. FINAL:
213.588204
213.588204
exponential_interest
2
sinusoid
2.5
8
0
26
0.0975
Calculate the compound interest: $150 invested at 9.75% annual rate for 4 years. FINAL:
217.625296
217.625296
exponential_interest
2
sinusoid
2.5
8
0
27
0.092374
Calculate the compound interest: $150 invested at 9.237436867% annual rate for 4 years. FINAL:
213.588204
213.588204