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
1
240
60
0.075739
Calculate the compound interest: $150 invested at 7.573867% annual rate for 4 years. FINAL:
200.871527
200.871527
exponential_interest
2
sinusoid
1
1
240
61
0.075215
Calculate the compound interest: $150 invested at 7.521485389% annual rate for 4 years. FINAL:
200.480566
200.480566
exponential_interest
2
sinusoid
1
1
240
62
0.074737
Calculate the compound interest: $150 invested at 7.473712135% annual rate for 4 years. FINAL:
200.124499
200.124499
exponential_interest
2
sinusoid
1
1
240
63
0.07431
Calculate the compound interest: $150 invested at 7.431007321% annual rate for 4 years. FINAL:
199.80661
199.80661
exponential_interest
2
sinusoid
1
2
240
0
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
2
240
1
0.073371
Calculate the compound interest: $150 invested at 7.337148909% annual rate for 4 years. FINAL:
199.10927
199.10927
exponential_interest
2
sinusoid
1
2
240
2
0.07306
Calculate the compound interest: $150 invested at 7.305988597% annual rate for 4 years. FINAL:
198.878163
198.878163
exponential_interest
2
sinusoid
1
2
240
3
0.073015
Calculate the compound interest: $150 invested at 7.301498754% annual rate for 4 years. FINAL:
198.844879
198.844879
exponential_interest
2
sinusoid
1
2
240
4
0.073239
Calculate the compound interest: $150 invested at 7.323851922% annual rate for 4 years. FINAL:
199.010625
199.010625
exponential_interest
2
sinusoid
1
2
240
5
0.073722
Calculate the compound interest: $150 invested at 7.372189081% annual rate for 4 years. FINAL:
199.369394
199.369394
exponential_interest
2
sinusoid
1
2
240
6
0.074447
Calculate the compound interest: $150 invested at 7.444652662% annual rate for 4 years. FINAL:
199.908143
199.908143
exponential_interest
2
sinusoid
1
2
240
7
0.075385
Calculate the compound interest: $150 invested at 7.538457929% annual rate for 4 years. FINAL:
200.607182
200.607182
exponential_interest
2
sinusoid
1
2
240
8
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
2
240
9
0.07775
Calculate the compound interest: $150 invested at 7.774992374% annual rate for 4 years. FINAL:
202.377983
202.377983
exponential_interest
2
sinusoid
1
2
240
10
0.079086
Calculate the compound interest: $150 invested at 7.908631665% annual rate for 4 years. FINAL:
203.383633
203.383633
exponential_interest
2
sinusoid
1
2
240
11
0.080458
Calculate the compound interest: $150 invested at 8.04578219% annual rate for 4 years. FINAL:
204.419598
204.419598
exponential_interest
2
sinusoid
1
2
240
12
0.081812
Calculate the compound interest: $150 invested at 8.181173332% annual rate for 4 years. FINAL:
205.446151
205.446151
exponential_interest
2
sinusoid
1
2
240
13
0.083096
Calculate the compound interest: $150 invested at 8.309602083% annual rate for 4 years. FINAL:
206.423482
206.423482
exponential_interest
2
sinusoid
1
2
240
14
0.084261
Calculate the compound interest: $150 invested at 8.426133% annual rate for 4 years. FINAL:
207.313286
207.313286
exponential_interest
2
sinusoid
1
2
240
15
0.085263
Calculate the compound interest: $150 invested at 8.526287865% annual rate for 4 years. FINAL:
208.080342
208.080342
exponential_interest
2
sinusoid
1
2
240
16
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
2
240
17
0.086629
Calculate the compound interest: $150 invested at 8.662851091% annual rate for 4 years. FINAL:
209.129665
209.129665
exponential_interest
2
sinusoid
1
2
240
18
0.08694
Calculate the compound interest: $150 invested at 8.694011403% annual rate for 4 years. FINAL:
209.36965
209.36965
exponential_interest
2
sinusoid
1
2
240
19
0.086985
Calculate the compound interest: $150 invested at 8.698501246% annual rate for 4 years. FINAL:
209.404246
209.404246
exponential_interest
2
sinusoid
1
2
240
20
0.086761
Calculate the compound interest: $150 invested at 8.676148078% annual rate for 4 years. FINAL:
209.232048
209.232048
exponential_interest
2
sinusoid
1
2
240
21
0.086278
Calculate the compound interest: $150 invested at 8.627810919% annual rate for 4 years. FINAL:
208.860046
208.860046
exponential_interest
2
sinusoid
1
2
240
22
0.085553
Calculate the compound interest: $150 invested at 8.555347338% annual rate for 4 years. FINAL:
208.303297
208.303297
exponential_interest
2
sinusoid
1
2
240
23
0.084615
Calculate the compound interest: $150 invested at 8.461542071% annual rate for 4 years. FINAL:
207.58423
207.58423
exponential_interest
2
sinusoid
1
2
240
24
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
2
240
25
0.08225
Calculate the compound interest: $150 invested at 8.225007626% annual rate for 4 years. FINAL:
205.779335
205.779335
exponential_interest
2
sinusoid
1
2
240
26
0.080914
Calculate the compound interest: $150 invested at 8.091368335% annual rate for 4 years. FINAL:
204.764808
204.764808
exponential_interest
2
sinusoid
1
2
240
27
0.079542
Calculate the compound interest: $150 invested at 7.95421781% annual rate for 4 years. FINAL:
203.72753
203.72753
exponential_interest
2
sinusoid
1
2
240
28
0.078188
Calculate the compound interest: $150 invested at 7.818826668% annual rate for 4 years. FINAL:
202.707429
202.707429
exponential_interest
2
sinusoid
1
2
240
29
0.076904
Calculate the compound interest: $150 invested at 7.690397917% annual rate for 4 years. FINAL:
201.74333
201.74333
exponential_interest
2
sinusoid
1
2
240
30
0.075739
Calculate the compound interest: $150 invested at 7.573867% annual rate for 4 years. FINAL:
200.871527
200.871527
exponential_interest
2
sinusoid
1
2
240
31
0.074737
Calculate the compound interest: $150 invested at 7.473712135% annual rate for 4 years. FINAL:
200.124499
200.124499
exponential_interest
2
sinusoid
1
2
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
2
240
33
0.073371
Calculate the compound interest: $150 invested at 7.337148909% annual rate for 4 years. FINAL:
199.10927
199.10927
exponential_interest
2
sinusoid
1
2
240
34
0.07306
Calculate the compound interest: $150 invested at 7.305988597% annual rate for 4 years. FINAL:
198.878163
198.878163
exponential_interest
2
sinusoid
1
2
240
35
0.073015
Calculate the compound interest: $150 invested at 7.301498754% annual rate for 4 years. FINAL:
198.844879
198.844879
exponential_interest
2
sinusoid
1
2
240
36
0.073239
Calculate the compound interest: $150 invested at 7.323851922% annual rate for 4 years. FINAL:
199.010625
199.010625
exponential_interest
2
sinusoid
1
2
240
37
0.073722
Calculate the compound interest: $150 invested at 7.372189081% annual rate for 4 years. FINAL:
199.369394
199.369394
exponential_interest
2
sinusoid
1
2
240
38
0.074447
Calculate the compound interest: $150 invested at 7.444652662% annual rate for 4 years. FINAL:
199.908143
199.908143
exponential_interest
2
sinusoid
1
2
240
39
0.075385
Calculate the compound interest: $150 invested at 7.538457929% annual rate for 4 years. FINAL:
200.607182
200.607182
exponential_interest
2
sinusoid
1
2
240
40
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
2
240
41
0.07775
Calculate the compound interest: $150 invested at 7.774992374% annual rate for 4 years. FINAL:
202.377983
202.377983
exponential_interest
2
sinusoid
1
2
240
42
0.079086
Calculate the compound interest: $150 invested at 7.908631665% annual rate for 4 years. FINAL:
203.383633
203.383633
exponential_interest
2
sinusoid
1
2
240
43
0.080458
Calculate the compound interest: $150 invested at 8.04578219% annual rate for 4 years. FINAL:
204.419598
204.419598
exponential_interest
2
sinusoid
1
2
240
44
0.081812
Calculate the compound interest: $150 invested at 8.181173332% annual rate for 4 years. FINAL:
205.446151
205.446151
exponential_interest
2
sinusoid
1
2
240
45
0.083096
Calculate the compound interest: $150 invested at 8.309602083% annual rate for 4 years. FINAL:
206.423482
206.423482
exponential_interest
2
sinusoid
1
2
240
46
0.084261
Calculate the compound interest: $150 invested at 8.426133% annual rate for 4 years. FINAL:
207.313286
207.313286
exponential_interest
2
sinusoid
1
2
240
47
0.085263
Calculate the compound interest: $150 invested at 8.526287865% annual rate for 4 years. FINAL:
208.080342
208.080342
exponential_interest
2
sinusoid
1
2
240
48
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
2
240
49
0.086629
Calculate the compound interest: $150 invested at 8.662851091% annual rate for 4 years. FINAL:
209.129665
209.129665
exponential_interest
2
sinusoid
1
2
240
50
0.08694
Calculate the compound interest: $150 invested at 8.694011403% annual rate for 4 years. FINAL:
209.36965
209.36965
exponential_interest
2
sinusoid
1
2
240
51
0.086985
Calculate the compound interest: $150 invested at 8.698501246% annual rate for 4 years. FINAL:
209.404246
209.404246
exponential_interest
2
sinusoid
1
2
240
52
0.086761
Calculate the compound interest: $150 invested at 8.676148078% annual rate for 4 years. FINAL:
209.232048
209.232048
exponential_interest
2
sinusoid
1
2
240
53
0.086278
Calculate the compound interest: $150 invested at 8.627810919% annual rate for 4 years. FINAL:
208.860046
208.860046
exponential_interest
2
sinusoid
1
2
240
54
0.085553
Calculate the compound interest: $150 invested at 8.555347338% annual rate for 4 years. FINAL:
208.303297
208.303297
exponential_interest
2
sinusoid
1
2
240
55
0.084615
Calculate the compound interest: $150 invested at 8.461542071% annual rate for 4 years. FINAL:
207.58423
207.58423
exponential_interest
2
sinusoid
1
2
240
56
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
2
240
57
0.08225
Calculate the compound interest: $150 invested at 8.225007626% annual rate for 4 years. FINAL:
205.779335
205.779335
exponential_interest
2
sinusoid
1
2
240
58
0.080914
Calculate the compound interest: $150 invested at 8.091368335% annual rate for 4 years. FINAL:
204.764808
204.764808
exponential_interest
2
sinusoid
1
2
240
59
0.079542
Calculate the compound interest: $150 invested at 7.95421781% annual rate for 4 years. FINAL:
203.72753
203.72753
exponential_interest
2
sinusoid
1
2
240
60
0.078188
Calculate the compound interest: $150 invested at 7.818826668% annual rate for 4 years. FINAL:
202.707429
202.707429
exponential_interest
2
sinusoid
1
2
240
61
0.076904
Calculate the compound interest: $150 invested at 7.690397917% annual rate for 4 years. FINAL:
201.74333
201.74333
exponential_interest
2
sinusoid
1
2
240
62
0.075739
Calculate the compound interest: $150 invested at 7.573867% annual rate for 4 years. FINAL:
200.871527
200.871527
exponential_interest
2
sinusoid
1
2
240
63
0.074737
Calculate the compound interest: $150 invested at 7.473712135% annual rate for 4 years. FINAL:
200.124499
200.124499
exponential_interest
2
sinusoid
1
4
240
0
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
4
240
1
0.07306
Calculate the compound interest: $150 invested at 7.305988597% annual rate for 4 years. FINAL:
198.878163
198.878163
exponential_interest
2
sinusoid
1
4
240
2
0.073239
Calculate the compound interest: $150 invested at 7.323851922% annual rate for 4 years. FINAL:
199.010625
199.010625
exponential_interest
2
sinusoid
1
4
240
3
0.074447
Calculate the compound interest: $150 invested at 7.444652662% annual rate for 4 years. FINAL:
199.908143
199.908143
exponential_interest
2
sinusoid
1
4
240
4
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
4
240
5
0.079086
Calculate the compound interest: $150 invested at 7.908631665% annual rate for 4 years. FINAL:
203.383633
203.383633
exponential_interest
2
sinusoid
1
4
240
6
0.081812
Calculate the compound interest: $150 invested at 8.181173332% annual rate for 4 years. FINAL:
205.446151
205.446151
exponential_interest
2
sinusoid
1
4
240
7
0.084261
Calculate the compound interest: $150 invested at 8.426133% annual rate for 4 years. FINAL:
207.313286
207.313286
exponential_interest
2
sinusoid
1
4
240
8
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
4
240
9
0.08694
Calculate the compound interest: $150 invested at 8.694011403% annual rate for 4 years. FINAL:
209.36965
209.36965
exponential_interest
2
sinusoid
1
4
240
10
0.086761
Calculate the compound interest: $150 invested at 8.676148078% annual rate for 4 years. FINAL:
209.232048
209.232048
exponential_interest
2
sinusoid
1
4
240
11
0.085553
Calculate the compound interest: $150 invested at 8.555347338% annual rate for 4 years. FINAL:
208.303297
208.303297
exponential_interest
2
sinusoid
1
4
240
12
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
4
240
13
0.080914
Calculate the compound interest: $150 invested at 8.091368335% annual rate for 4 years. FINAL:
204.764808
204.764808
exponential_interest
2
sinusoid
1
4
240
14
0.078188
Calculate the compound interest: $150 invested at 7.818826668% annual rate for 4 years. FINAL:
202.707429
202.707429
exponential_interest
2
sinusoid
1
4
240
15
0.075739
Calculate the compound interest: $150 invested at 7.573867% annual rate for 4 years. FINAL:
200.871527
200.871527
exponential_interest
2
sinusoid
1
4
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
4
240
17
0.07306
Calculate the compound interest: $150 invested at 7.305988597% annual rate for 4 years. FINAL:
198.878163
198.878163
exponential_interest
2
sinusoid
1
4
240
18
0.073239
Calculate the compound interest: $150 invested at 7.323851922% annual rate for 4 years. FINAL:
199.010625
199.010625
exponential_interest
2
sinusoid
1
4
240
19
0.074447
Calculate the compound interest: $150 invested at 7.444652662% annual rate for 4 years. FINAL:
199.908143
199.908143
exponential_interest
2
sinusoid
1
4
240
20
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
4
240
21
0.079086
Calculate the compound interest: $150 invested at 7.908631665% annual rate for 4 years. FINAL:
203.383633
203.383633
exponential_interest
2
sinusoid
1
4
240
22
0.081812
Calculate the compound interest: $150 invested at 8.181173332% annual rate for 4 years. FINAL:
205.446151
205.446151
exponential_interest
2
sinusoid
1
4
240
23
0.084261
Calculate the compound interest: $150 invested at 8.426133% annual rate for 4 years. FINAL:
207.313286
207.313286
exponential_interest
2
sinusoid
1
4
240
24
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
4
240
25
0.08694
Calculate the compound interest: $150 invested at 8.694011403% annual rate for 4 years. FINAL:
209.36965
209.36965
exponential_interest
2
sinusoid
1
4
240
26
0.086761
Calculate the compound interest: $150 invested at 8.676148078% annual rate for 4 years. FINAL:
209.232048
209.232048
exponential_interest
2
sinusoid
1
4
240
27
0.085553
Calculate the compound interest: $150 invested at 8.555347338% annual rate for 4 years. FINAL:
208.303297
208.303297
exponential_interest
2
sinusoid
1
4
240
28
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
4
240
29
0.080914
Calculate the compound interest: $150 invested at 8.091368335% annual rate for 4 years. FINAL:
204.764808
204.764808
exponential_interest
2
sinusoid
1
4
240
30
0.078188
Calculate the compound interest: $150 invested at 7.818826668% annual rate for 4 years. FINAL:
202.707429
202.707429
exponential_interest
2
sinusoid
1
4
240
31
0.075739
Calculate the compound interest: $150 invested at 7.573867% annual rate for 4 years. FINAL:
200.871527
200.871527