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
0
44
0.08
Calculate the compound interest: $150 invested at 8% annual rate for 4 years. FINAL:
204.073344
204.073344
exponential_interest
2
sinusoid
1
16
0
45
0.087
Calculate the compound interest: $150 invested at 8.7% annual rate for 4 years. FINAL:
209.415795
209.415795
exponential_interest
2
sinusoid
1
16
0
46
0.08
Calculate the compound interest: $150 invested at 8% annual rate for 4 years. FINAL:
204.073344
204.073344
exponential_interest
2
sinusoid
1
16
0
47
0.073
Calculate the compound interest: $150 invested at 7.3% annual rate for 4 years. FINAL:
198.83377
198.83377
exponential_interest
2
sinusoid
1
16
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
1
16
0
49
0.087
Calculate the compound interest: $150 invested at 8.7% annual rate for 4 years. FINAL:
209.415795
209.415795
exponential_interest
2
sinusoid
1
16
0
50
0.08
Calculate the compound interest: $150 invested at 8% annual rate for 4 years. FINAL:
204.073344
204.073344
exponential_interest
2
sinusoid
1
16
0
51
0.073
Calculate the compound interest: $150 invested at 7.3% annual rate for 4 years. FINAL:
198.83377
198.83377
exponential_interest
2
sinusoid
1
16
0
52
0.08
Calculate the compound interest: $150 invested at 8% annual rate for 4 years. FINAL:
204.073344
204.073344
exponential_interest
2
sinusoid
1
16
0
53
0.087
Calculate the compound interest: $150 invested at 8.7% annual rate for 4 years. FINAL:
209.415795
209.415795
exponential_interest
2
sinusoid
1
16
0
54
0.08
Calculate the compound interest: $150 invested at 8% annual rate for 4 years. FINAL:
204.073344
204.073344
exponential_interest
2
sinusoid
1
16
0
55
0.073
Calculate the compound interest: $150 invested at 7.3% annual rate for 4 years. FINAL:
198.83377
198.83377
exponential_interest
2
sinusoid
1
16
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
1
16
0
57
0.087
Calculate the compound interest: $150 invested at 8.7% annual rate for 4 years. FINAL:
209.415795
209.415795
exponential_interest
2
sinusoid
1
16
0
58
0.08
Calculate the compound interest: $150 invested at 8% annual rate for 4 years. FINAL:
204.073344
204.073344
exponential_interest
2
sinusoid
1
16
0
59
0.073
Calculate the compound interest: $150 invested at 7.3% annual rate for 4 years. FINAL:
198.83377
198.83377
exponential_interest
2
sinusoid
1
16
0
60
0.08
Calculate the compound interest: $150 invested at 8% annual rate for 4 years. FINAL:
204.073344
204.073344
exponential_interest
2
sinusoid
1
16
0
61
0.087
Calculate the compound interest: $150 invested at 8.7% annual rate for 4 years. FINAL:
209.415795
209.415795
exponential_interest
2
sinusoid
1
16
0
62
0.08
Calculate the compound interest: $150 invested at 8% annual rate for 4 years. FINAL:
204.073344
204.073344
exponential_interest
2
sinusoid
1
16
0
63
0.073
Calculate the compound interest: $150 invested at 7.3% annual rate for 4 years. FINAL:
198.83377
198.83377
exponential_interest
2
sinusoid
1
1
120
0
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
1
120
1
0.08569
Calculate the compound interest: $150 invested at 8.568992679% annual rate for 4 years. FINAL:
208.408051
208.408051
exponential_interest
2
sinusoid
1
1
120
2
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
1
120
3
0.084785
Calculate the compound interest: $150 invested at 8.478514611% annual rate for 4 years. FINAL:
207.714196
207.714196
exponential_interest
2
sinusoid
1
1
120
4
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
1
120
5
0.083696
Calculate the compound interest: $150 invested at 8.369647495% annual rate for 4 years. FINAL:
206.881617
206.881617
exponential_interest
2
sinusoid
1
1
120
6
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
1
120
7
0.082466
Calculate the compound interest: $150 invested at 8.246575034% annual rate for 4 years. FINAL:
205.943417
205.943417
exponential_interest
2
sinusoid
1
1
120
8
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
1
120
9
0.08114
Calculate the compound interest: $150 invested at 8.114026831% annual rate for 4 years. FINAL:
204.936556
204.936556
exponential_interest
2
sinusoid
1
1
120
10
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
1
120
11
0.079771
Calculate the compound interest: $150 invested at 7.977096642% annual rate for 4 years. FINAL:
203.900289
203.900289
exponential_interest
2
sinusoid
1
1
120
12
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
1
120
13
0.07841
Calculate the compound interest: $150 invested at 7.841046616% annual rate for 4 years. FINAL:
202.874581
202.874581
exponential_interest
2
sinusoid
1
1
120
14
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
1
120
15
0.077111
Calculate the compound interest: $150 invested at 7.711105079% annual rate for 4 years. FINAL:
201.898543
201.898543
exponential_interest
2
sinusoid
1
1
120
16
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
1
120
17
0.075923
Calculate the compound interest: $150 invested at 7.592265612% annual rate for 4 years. FINAL:
201.008985
201.008985
exponential_interest
2
sinusoid
1
1
120
18
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
1
120
19
0.074891
Calculate the compound interest: $150 invested at 7.489095149% annual rate for 4 years. FINAL:
200.239101
200.239101
exponential_interest
2
sinusoid
1
1
120
20
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
1
120
21
0.074056
Calculate the compound interest: $150 invested at 7.405558473% annual rate for 4 years. FINAL:
199.617352
199.617352
exponential_interest
2
sinusoid
1
1
120
22
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
1
120
23
0.073449
Calculate the compound interest: $150 invested at 7.344865851% annual rate for 4 years. FINAL:
199.166536
199.166536
exponential_interest
2
sinusoid
1
1
120
24
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
1
120
25
0.073093
Calculate the compound interest: $150 invested at 7.309349668% annual rate for 4 years. FINAL:
198.903081
198.903081
exponential_interest
2
sinusoid
1
1
120
26
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
1
120
27
0.073004
Calculate the compound interest: $150 invested at 7.300374789% annual rate for 4 years. FINAL:
198.836548
198.836548
exponential_interest
2
sinusoid
1
1
120
28
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
1
120
29
0.073183
Calculate the compound interest: $150 invested at 7.318286115% annual rate for 4 years. FINAL:
198.969346
198.969346
exponential_interest
2
sinusoid
1
1
120
30
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
1
120
31
0.073624
Calculate the compound interest: $150 invested at 7.362395323% annual rate for 4 years. FINAL:
199.296664
199.296664
exponential_interest
2
sinusoid
1
1
120
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
1
120
33
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
1
120
34
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
120
35
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
120
36
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
120
37
0.076304
Calculate the compound interest: $150 invested at 7.630352505% annual rate for 4 years. FINAL:
201.293759
201.293759
exponential_interest
2
sinusoid
1
1
120
38
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
1
120
39
0.077534
Calculate the compound interest: $150 invested at 7.753424966% annual rate for 4 years. FINAL:
202.216036
202.216036
exponential_interest
2
sinusoid
1
1
120
40
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
1
120
41
0.07886
Calculate the compound interest: $150 invested at 7.885973169% annual rate for 4 years. FINAL:
203.212862
203.212862
exponential_interest
2
sinusoid
1
1
120
42
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
1
120
43
0.080229
Calculate the compound interest: $150 invested at 8.022903358% annual rate for 4 years. FINAL:
204.246509
204.246509
exponential_interest
2
sinusoid
1
1
120
44
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
1
120
45
0.08159
Calculate the compound interest: $150 invested at 8.158953384% annual rate for 4 years. FINAL:
205.277412
205.277412
exponential_interest
2
sinusoid
1
1
120
46
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
1
120
47
0.082889
Calculate the compound interest: $150 invested at 8.288894921% annual rate for 4 years. FINAL:
206.265667
206.265667
exponential_interest
2
sinusoid
1
1
120
48
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
1
120
49
0.084077
Calculate the compound interest: $150 invested at 8.407734388% annual rate for 4 years. FINAL:
207.172607
207.172607
exponential_interest
2
sinusoid
1
1
120
50
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
1
120
51
0.085109
Calculate the compound interest: $150 invested at 8.510904851% annual rate for 4 years. FINAL:
207.96239
207.96239
exponential_interest
2
sinusoid
1
1
120
52
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
1
120
53
0.085944
Calculate the compound interest: $150 invested at 8.594441527% annual rate for 4 years. FINAL:
208.603525
208.603525
exponential_interest
2
sinusoid
1
1
120
54
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
1
120
55
0.086551
Calculate the compound interest: $150 invested at 8.655134149% annual rate for 4 years. FINAL:
209.070264
209.070264
exponential_interest
2
sinusoid
1
1
120
56
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
1
120
57
0.086907
Calculate the compound interest: $150 invested at 8.690650332% annual rate for 4 years. FINAL:
209.343754
209.343754
exponential_interest
2
sinusoid
1
1
120
58
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
1
120
59
0.086996
Calculate the compound interest: $150 invested at 8.699625211% annual rate for 4 years. FINAL:
209.412907
209.412907
exponential_interest
2
sinusoid
1
1
120
60
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
1
120
61
0.086817
Calculate the compound interest: $150 invested at 8.681713885% annual rate for 4 years. FINAL:
209.274914
209.274914
exponential_interest
2
sinusoid
1
1
120
62
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
1
120
63
0.086376
Calculate the compound interest: $150 invested at 8.637604677% annual rate for 4 years. FINAL:
208.935379
208.935379
exponential_interest
2
sinusoid
1
2
120
0
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
120
1
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
120
2
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
120
3
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
120
4
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
120
5
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
120
6
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
120
7
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
120
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
120
9
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
120
10
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
120
11
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
120
12
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
120
13
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
120
14
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
120
15
0.073371
Calculate the compound interest: $150 invested at 7.337148909% annual rate for 4 years. FINAL:
199.10927
199.10927