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
1
0
20
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
1
0
21
0.095434
Calculate the compound interest: $150 invested at 9.543362213% annual rate for 4 years. FINAL:
215.990935
215.990935
exponential_interest
2
sinusoid
2.5
1
0
22
0.094551
Calculate the compound interest: $150 invested at 9.455071822% annual rate for 4 years. FINAL:
215.295434
215.295434
exponential_interest
2
sinusoid
2.5
1
0
23
0.093528
Calculate the compound interest: $150 invested at 9.352768293% annual rate for 4 years. FINAL:
214.491648
214.491648
exponential_interest
2
sinusoid
2.5
1
0
24
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
1
0
25
0.091102
Calculate the compound interest: $150 invested at 9.110188247% annual rate for 4 years. FINAL:
212.594723
212.594723
exponential_interest
2
sinusoid
2.5
1
0
26
0.089722
Calculate the compound interest: $150 invested at 8.972247908% annual rate for 4 years. FINAL:
211.521685
211.521685
exponential_interest
2
sinusoid
2.5
1
0
27
0.088249
Calculate the compound interest: $150 invested at 8.824944289% annual rate for 4 years. FINAL:
210.380301
210.380301
exponential_interest
2
sinusoid
2.5
1
0
28
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
1
0
29
0.08508
Calculate the compound interest: $150 invested at 8.507998185% annual rate for 4 years. FINAL:
207.940108
207.940108
exponential_interest
2
sinusoid
2.5
1
0
30
0.083414
Calculate the compound interest: $150 invested at 8.341408064% annual rate for 4 years. FINAL:
206.666061
206.666061
exponential_interest
2
sinusoid
2.5
1
0
31
0.081715
Calculate the compound interest: $150 invested at 8.171529996% annual rate for 4 years. FINAL:
205.372906
205.372906
exponential_interest
2
sinusoid
2.5
1
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
1
0
33
0.078285
Calculate the compound interest: $150 invested at 7.828470004% annual rate for 4 years. FINAL:
202.779959
202.779959
exponential_interest
2
sinusoid
2.5
1
0
34
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
1
0
35
0.07492
Calculate the compound interest: $150 invested at 7.492001815% annual rate for 4 years. FINAL:
200.260761
200.260761
exponential_interest
2
sinusoid
2.5
1
0
36
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
1
0
37
0.071751
Calculate the compound interest: $150 invested at 7.175055711% annual rate for 4 years. FINAL:
197.909267
197.909267
exponential_interest
2
sinusoid
2.5
1
0
38
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
1
0
39
0.068898
Calculate the compound interest: $150 invested at 6.889811753% annual rate for 4 years. FINAL:
195.81074
195.81074
exponential_interest
2
sinusoid
2.5
1
0
40
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
1
0
41
0.066472
Calculate the compound interest: $150 invested at 6.647231707% annual rate for 4 years. FINAL:
194.039258
194.039258
exponential_interest
2
sinusoid
2.5
1
0
42
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
1
0
43
0.064566
Calculate the compound interest: $150 invested at 6.456637787% annual rate for 4 years. FINAL:
192.655868
192.655868
exponential_interest
2
sinusoid
2.5
1
0
44
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
1
0
45
0.063254
Calculate the compound interest: $150 invested at 6.325354412% annual rate for 4 years. FINAL:
191.707284
191.707284
exponential_interest
2
sinusoid
2.5
1
0
46
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
1
0
47
0.062584
Calculate the compound interest: $150 invested at 6.258426728% annual rate for 4 years. FINAL:
191.225051
191.225051
exponential_interest
2
sinusoid
2.5
1
0
48
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
1
0
49
0.062584
Calculate the compound interest: $150 invested at 6.258426728% annual rate for 4 years. FINAL:
191.225051
191.225051
exponential_interest
2
sinusoid
2.5
1
0
50
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
1
0
51
0.063254
Calculate the compound interest: $150 invested at 6.325354412% annual rate for 4 years. FINAL:
191.707284
191.707284
exponential_interest
2
sinusoid
2.5
1
0
52
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
1
0
53
0.064566
Calculate the compound interest: $150 invested at 6.456637787% annual rate for 4 years. FINAL:
192.655868
192.655868
exponential_interest
2
sinusoid
2.5
1
0
54
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
1
0
55
0.066472
Calculate the compound interest: $150 invested at 6.647231707% annual rate for 4 years. FINAL:
194.039258
194.039258
exponential_interest
2
sinusoid
2.5
1
0
56
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
1
0
57
0.068898
Calculate the compound interest: $150 invested at 6.889811753% annual rate for 4 years. FINAL:
195.81074
195.81074
exponential_interest
2
sinusoid
2.5
1
0
58
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
1
0
59
0.071751
Calculate the compound interest: $150 invested at 7.175055711% annual rate for 4 years. FINAL:
197.909267
197.909267
exponential_interest
2
sinusoid
2.5
1
0
60
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
1
0
61
0.07492
Calculate the compound interest: $150 invested at 7.492001815% annual rate for 4 years. FINAL:
200.260761
200.260761
exponential_interest
2
sinusoid
2.5
1
0
62
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
1
0
63
0.078285
Calculate the compound interest: $150 invested at 7.828470004% annual rate for 4 years. FINAL:
202.779959
202.779959
exponential_interest
2
sinusoid
2.5
2
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
2
0
1
0.083414
Calculate the compound interest: $150 invested at 8.341408064% annual rate for 4 years. FINAL:
206.666061
206.666061
exponential_interest
2
sinusoid
2.5
2
0
2
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
2
0
3
0.089722
Calculate the compound interest: $150 invested at 8.972247908% annual rate for 4 years. FINAL:
211.521685
211.521685
exponential_interest
2
sinusoid
2.5
2
0
4
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
2
0
5
0.094551
Calculate the compound interest: $150 invested at 9.455071822% annual rate for 4 years. FINAL:
215.295434
215.295434
exponential_interest
2
sinusoid
2.5
2
0
6
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
2
0
7
0.097164
Calculate the compound interest: $150 invested at 9.716374241% annual rate for 4 years. FINAL:
217.35871
217.35871
exponential_interest
2
sinusoid
2.5
2
0
8
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
2
0
9
0.097164
Calculate the compound interest: $150 invested at 9.716374241% annual rate for 4 years. FINAL:
217.35871
217.35871
exponential_interest
2
sinusoid
2.5
2
0
10
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
2
0
11
0.094551
Calculate the compound interest: $150 invested at 9.455071822% annual rate for 4 years. FINAL:
215.295434
215.295434
exponential_interest
2
sinusoid
2.5
2
0
12
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
2
0
13
0.089722
Calculate the compound interest: $150 invested at 8.972247908% annual rate for 4 years. FINAL:
211.521685
211.521685
exponential_interest
2
sinusoid
2.5
2
0
14
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
2
0
15
0.083414
Calculate the compound interest: $150 invested at 8.341408064% annual rate for 4 years. FINAL:
206.666061
206.666061
exponential_interest
2
sinusoid
2.5
2
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
2
0
17
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
2
0
18
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
19
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
20
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
21
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
22
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
23
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
24
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
25
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
26
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
27
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
28
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
29
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
30
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
31
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
2
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
2
0
33
0.083414
Calculate the compound interest: $150 invested at 8.341408064% annual rate for 4 years. FINAL:
206.666061
206.666061
exponential_interest
2
sinusoid
2.5
2
0
34
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
2
0
35
0.089722
Calculate the compound interest: $150 invested at 8.972247908% annual rate for 4 years. FINAL:
211.521685
211.521685
exponential_interest
2
sinusoid
2.5
2
0
36
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
2
0
37
0.094551
Calculate the compound interest: $150 invested at 9.455071822% annual rate for 4 years. FINAL:
215.295434
215.295434
exponential_interest
2
sinusoid
2.5
2
0
38
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
2
0
39
0.097164
Calculate the compound interest: $150 invested at 9.716374241% annual rate for 4 years. FINAL:
217.35871
217.35871
exponential_interest
2
sinusoid
2.5
2
0
40
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
2
0
41
0.097164
Calculate the compound interest: $150 invested at 9.716374241% annual rate for 4 years. FINAL:
217.35871
217.35871
exponential_interest
2
sinusoid
2.5
2
0
42
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
2
0
43
0.094551
Calculate the compound interest: $150 invested at 9.455071822% annual rate for 4 years. FINAL:
215.295434
215.295434
exponential_interest
2
sinusoid
2.5
2
0
44
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
2
0
45
0.089722
Calculate the compound interest: $150 invested at 8.972247908% annual rate for 4 years. FINAL:
211.521685
211.521685
exponential_interest
2
sinusoid
2.5
2
0
46
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
2
0
47
0.083414
Calculate the compound interest: $150 invested at 8.341408064% annual rate for 4 years. FINAL:
206.666061
206.666061
exponential_interest
2
sinusoid
2.5
2
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
2
0
49
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
2
0
50
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
51
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
52
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
53
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
54
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
55
0.062836
Calculate the compound interest: $150 invested at 6.283625759% annual rate for 4 years. FINAL:
191.40651
191.40651