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
1
sinusoid
1
8
120
48
0.086062
Calculate the compound interest: $200 invested at 8.606217783% annual rate for 5 years. FINAL:
302.206251
302.206251
exponential_interest
1
sinusoid
1
8
120
49
0.081812
Calculate the compound interest: $200 invested at 8.181173332% annual rate for 5 years. FINAL:
296.338742
296.338742
exponential_interest
1
sinusoid
1
8
120
50
0.0765
Calculate the compound interest: $200 invested at 7.65% annual rate for 5 years. FINAL:
289.134667
289.134667
exponential_interest
1
sinusoid
1
8
120
51
0.073239
Calculate the compound interest: $200 invested at 7.323851922% annual rate for 5 years. FINAL:
284.781159
284.781159
exponential_interest
1
sinusoid
1
8
120
52
0.073938
Calculate the compound interest: $200 invested at 7.393782217% annual rate for 5 years. FINAL:
285.71016
285.71016
exponential_interest
1
sinusoid
1
8
120
53
0.078188
Calculate the compound interest: $200 invested at 7.818826668% annual rate for 5 years. FINAL:
291.409028
291.409028
exponential_interest
1
sinusoid
1
8
120
54
0.0835
Calculate the compound interest: $200 invested at 8.35% annual rate for 5 years. FINAL:
298.65829
298.65829
exponential_interest
1
sinusoid
1
8
120
55
0.086761
Calculate the compound interest: $200 invested at 8.676148078% annual rate for 5 years. FINAL:
303.180441
303.180441
exponential_interest
1
sinusoid
1
8
120
56
0.086062
Calculate the compound interest: $200 invested at 8.606217783% annual rate for 5 years. FINAL:
302.206251
302.206251
exponential_interest
1
sinusoid
1
8
120
57
0.081812
Calculate the compound interest: $200 invested at 8.181173332% annual rate for 5 years. FINAL:
296.338742
296.338742
exponential_interest
1
sinusoid
1
8
120
58
0.0765
Calculate the compound interest: $200 invested at 7.65% annual rate for 5 years. FINAL:
289.134667
289.134667
exponential_interest
1
sinusoid
1
8
120
59
0.073239
Calculate the compound interest: $200 invested at 7.323851922% annual rate for 5 years. FINAL:
284.781159
284.781159
exponential_interest
1
sinusoid
1
8
120
60
0.073938
Calculate the compound interest: $200 invested at 7.393782217% annual rate for 5 years. FINAL:
285.71016
285.71016
exponential_interest
1
sinusoid
1
8
120
61
0.078188
Calculate the compound interest: $200 invested at 7.818826668% annual rate for 5 years. FINAL:
291.409028
291.409028
exponential_interest
1
sinusoid
1
8
120
62
0.0835
Calculate the compound interest: $200 invested at 8.35% annual rate for 5 years. FINAL:
298.65829
298.65829
exponential_interest
1
sinusoid
1
8
120
63
0.086761
Calculate the compound interest: $200 invested at 8.676148078% annual rate for 5 years. FINAL:
303.180441
303.180441
exponential_interest
1
sinusoid
1
16
120
0
0.086062
Calculate the compound interest: $200 invested at 8.606217783% annual rate for 5 years. FINAL:
302.206251
302.206251
exponential_interest
1
sinusoid
1
16
120
1
0.0765
Calculate the compound interest: $200 invested at 7.65% annual rate for 5 years. FINAL:
289.134667
289.134667
exponential_interest
1
sinusoid
1
16
120
2
0.073938
Calculate the compound interest: $200 invested at 7.393782217% annual rate for 5 years. FINAL:
285.71016
285.71016
exponential_interest
1
sinusoid
1
16
120
3
0.0835
Calculate the compound interest: $200 invested at 8.35% annual rate for 5 years. FINAL:
298.65829
298.65829
exponential_interest
1
sinusoid
1
16
120
4
0.086062
Calculate the compound interest: $200 invested at 8.606217783% annual rate for 5 years. FINAL:
302.206251
302.206251
exponential_interest
1
sinusoid
1
16
120
5
0.0765
Calculate the compound interest: $200 invested at 7.65% annual rate for 5 years. FINAL:
289.134667
289.134667
exponential_interest
1
sinusoid
1
16
120
6
0.073938
Calculate the compound interest: $200 invested at 7.393782217% annual rate for 5 years. FINAL:
285.71016
285.71016
exponential_interest
1
sinusoid
1
16
120
7
0.0835
Calculate the compound interest: $200 invested at 8.35% annual rate for 5 years. FINAL:
298.65829
298.65829
exponential_interest
1
sinusoid
1
16
120
8
0.086062
Calculate the compound interest: $200 invested at 8.606217783% annual rate for 5 years. FINAL:
302.206251
302.206251
exponential_interest
1
sinusoid
1
16
120
9
0.0765
Calculate the compound interest: $200 invested at 7.65% annual rate for 5 years. FINAL:
289.134667
289.134667
exponential_interest
1
sinusoid
1
16
120
10
0.073938
Calculate the compound interest: $200 invested at 7.393782217% annual rate for 5 years. FINAL:
285.71016
285.71016
exponential_interest
1
sinusoid
1
16
120
11
0.0835
Calculate the compound interest: $200 invested at 8.35% annual rate for 5 years. FINAL:
298.65829
298.65829
exponential_interest
1
sinusoid
1
16
120
12
0.086062
Calculate the compound interest: $200 invested at 8.606217783% annual rate for 5 years. FINAL:
302.206251
302.206251
exponential_interest
1
sinusoid
1
16
120
13
0.0765
Calculate the compound interest: $200 invested at 7.65% annual rate for 5 years. FINAL:
289.134667
289.134667
exponential_interest
1
sinusoid
1
16
120
14
0.073938
Calculate the compound interest: $200 invested at 7.393782217% annual rate for 5 years. FINAL:
285.71016
285.71016
exponential_interest
1
sinusoid
1
16
120
15
0.0835
Calculate the compound interest: $200 invested at 8.35% annual rate for 5 years. FINAL:
298.65829
298.65829
exponential_interest
1
sinusoid
1
16
120
16
0.086062
Calculate the compound interest: $200 invested at 8.606217783% annual rate for 5 years. FINAL:
302.206251
302.206251
exponential_interest
1
sinusoid
1
16
120
17
0.0765
Calculate the compound interest: $200 invested at 7.65% annual rate for 5 years. FINAL:
289.134667
289.134667
exponential_interest
1
sinusoid
1
16
120
18
0.073938
Calculate the compound interest: $200 invested at 7.393782217% annual rate for 5 years. FINAL:
285.71016
285.71016
exponential_interest
1
sinusoid
1
16
120
19
0.0835
Calculate the compound interest: $200 invested at 8.35% annual rate for 5 years. FINAL:
298.65829
298.65829
exponential_interest
1
sinusoid
1
16
120
20
0.086062
Calculate the compound interest: $200 invested at 8.606217783% annual rate for 5 years. FINAL:
302.206251
302.206251
exponential_interest
1
sinusoid
1
16
120
21
0.0765
Calculate the compound interest: $200 invested at 7.65% annual rate for 5 years. FINAL:
289.134667
289.134667
exponential_interest
1
sinusoid
1
16
120
22
0.073938
Calculate the compound interest: $200 invested at 7.393782217% annual rate for 5 years. FINAL:
285.71016
285.71016
exponential_interest
1
sinusoid
1
16
120
23
0.0835
Calculate the compound interest: $200 invested at 8.35% annual rate for 5 years. FINAL:
298.65829
298.65829
exponential_interest
1
sinusoid
1
16
120
24
0.086062
Calculate the compound interest: $200 invested at 8.606217783% annual rate for 5 years. FINAL:
302.206251
302.206251
exponential_interest
1
sinusoid
1
16
120
25
0.0765
Calculate the compound interest: $200 invested at 7.65% annual rate for 5 years. FINAL:
289.134667
289.134667
exponential_interest
1
sinusoid
1
16
120
26
0.073938
Calculate the compound interest: $200 invested at 7.393782217% annual rate for 5 years. FINAL:
285.71016
285.71016
exponential_interest
1
sinusoid
1
16
120
27
0.0835
Calculate the compound interest: $200 invested at 8.35% annual rate for 5 years. FINAL:
298.65829
298.65829
exponential_interest
1
sinusoid
1
16
120
28
0.086062
Calculate the compound interest: $200 invested at 8.606217783% annual rate for 5 years. FINAL:
302.206251
302.206251
exponential_interest
1
sinusoid
1
16
120
29
0.0765
Calculate the compound interest: $200 invested at 7.65% annual rate for 5 years. FINAL:
289.134667
289.134667
exponential_interest
1
sinusoid
1
16
120
30
0.073938
Calculate the compound interest: $200 invested at 7.393782217% annual rate for 5 years. FINAL:
285.71016
285.71016
exponential_interest
1
sinusoid
1
16
120
31
0.0835
Calculate the compound interest: $200 invested at 8.35% annual rate for 5 years. FINAL:
298.65829
298.65829
exponential_interest
1
sinusoid
1
16
120
32
0.086062
Calculate the compound interest: $200 invested at 8.606217783% annual rate for 5 years. FINAL:
302.206251
302.206251
exponential_interest
1
sinusoid
1
16
120
33
0.0765
Calculate the compound interest: $200 invested at 7.65% annual rate for 5 years. FINAL:
289.134667
289.134667
exponential_interest
1
sinusoid
1
16
120
34
0.073938
Calculate the compound interest: $200 invested at 7.393782217% annual rate for 5 years. FINAL:
285.71016
285.71016
exponential_interest
1
sinusoid
1
16
120
35
0.0835
Calculate the compound interest: $200 invested at 8.35% annual rate for 5 years. FINAL:
298.65829
298.65829
exponential_interest
1
sinusoid
1
16
120
36
0.086062
Calculate the compound interest: $200 invested at 8.606217783% annual rate for 5 years. FINAL:
302.206251
302.206251
exponential_interest
1
sinusoid
1
16
120
37
0.0765
Calculate the compound interest: $200 invested at 7.65% annual rate for 5 years. FINAL:
289.134667
289.134667
exponential_interest
1
sinusoid
1
16
120
38
0.073938
Calculate the compound interest: $200 invested at 7.393782217% annual rate for 5 years. FINAL:
285.71016
285.71016
exponential_interest
1
sinusoid
1
16
120
39
0.0835
Calculate the compound interest: $200 invested at 8.35% annual rate for 5 years. FINAL:
298.65829
298.65829
exponential_interest
1
sinusoid
1
16
120
40
0.086062
Calculate the compound interest: $200 invested at 8.606217783% annual rate for 5 years. FINAL:
302.206251
302.206251
exponential_interest
1
sinusoid
1
16
120
41
0.0765
Calculate the compound interest: $200 invested at 7.65% annual rate for 5 years. FINAL:
289.134667
289.134667
exponential_interest
1
sinusoid
1
16
120
42
0.073938
Calculate the compound interest: $200 invested at 7.393782217% annual rate for 5 years. FINAL:
285.71016
285.71016
exponential_interest
1
sinusoid
1
16
120
43
0.0835
Calculate the compound interest: $200 invested at 8.35% annual rate for 5 years. FINAL:
298.65829
298.65829
exponential_interest
1
sinusoid
1
16
120
44
0.086062
Calculate the compound interest: $200 invested at 8.606217783% annual rate for 5 years. FINAL:
302.206251
302.206251
exponential_interest
1
sinusoid
1
16
120
45
0.0765
Calculate the compound interest: $200 invested at 7.65% annual rate for 5 years. FINAL:
289.134667
289.134667
exponential_interest
1
sinusoid
1
16
120
46
0.073938
Calculate the compound interest: $200 invested at 7.393782217% annual rate for 5 years. FINAL:
285.71016
285.71016
exponential_interest
1
sinusoid
1
16
120
47
0.0835
Calculate the compound interest: $200 invested at 8.35% annual rate for 5 years. FINAL:
298.65829
298.65829
exponential_interest
1
sinusoid
1
16
120
48
0.086062
Calculate the compound interest: $200 invested at 8.606217783% annual rate for 5 years. FINAL:
302.206251
302.206251
exponential_interest
1
sinusoid
1
16
120
49
0.0765
Calculate the compound interest: $200 invested at 7.65% annual rate for 5 years. FINAL:
289.134667
289.134667
exponential_interest
1
sinusoid
1
16
120
50
0.073938
Calculate the compound interest: $200 invested at 7.393782217% annual rate for 5 years. FINAL:
285.71016
285.71016
exponential_interest
1
sinusoid
1
16
120
51
0.0835
Calculate the compound interest: $200 invested at 8.35% annual rate for 5 years. FINAL:
298.65829
298.65829
exponential_interest
1
sinusoid
1
16
120
52
0.086062
Calculate the compound interest: $200 invested at 8.606217783% annual rate for 5 years. FINAL:
302.206251
302.206251
exponential_interest
1
sinusoid
1
16
120
53
0.0765
Calculate the compound interest: $200 invested at 7.65% annual rate for 5 years. FINAL:
289.134667
289.134667
exponential_interest
1
sinusoid
1
16
120
54
0.073938
Calculate the compound interest: $200 invested at 7.393782217% annual rate for 5 years. FINAL:
285.71016
285.71016
exponential_interest
1
sinusoid
1
16
120
55
0.0835
Calculate the compound interest: $200 invested at 8.35% annual rate for 5 years. FINAL:
298.65829
298.65829
exponential_interest
1
sinusoid
1
16
120
56
0.086062
Calculate the compound interest: $200 invested at 8.606217783% annual rate for 5 years. FINAL:
302.206251
302.206251
exponential_interest
1
sinusoid
1
16
120
57
0.0765
Calculate the compound interest: $200 invested at 7.65% annual rate for 5 years. FINAL:
289.134667
289.134667
exponential_interest
1
sinusoid
1
16
120
58
0.073938
Calculate the compound interest: $200 invested at 7.393782217% annual rate for 5 years. FINAL:
285.71016
285.71016
exponential_interest
1
sinusoid
1
16
120
59
0.0835
Calculate the compound interest: $200 invested at 8.35% annual rate for 5 years. FINAL:
298.65829
298.65829
exponential_interest
1
sinusoid
1
16
120
60
0.086062
Calculate the compound interest: $200 invested at 8.606217783% annual rate for 5 years. FINAL:
302.206251
302.206251
exponential_interest
1
sinusoid
1
16
120
61
0.0765
Calculate the compound interest: $200 invested at 7.65% annual rate for 5 years. FINAL:
289.134667
289.134667
exponential_interest
1
sinusoid
1
16
120
62
0.073938
Calculate the compound interest: $200 invested at 7.393782217% annual rate for 5 years. FINAL:
285.71016
285.71016
exponential_interest
1
sinusoid
1
16
120
63
0.0835
Calculate the compound interest: $200 invested at 8.35% annual rate for 5 years. FINAL:
298.65829
298.65829
exponential_interest
1
sinusoid
1
1
240
0
0.073938
Calculate the compound interest: $200 invested at 7.393782217% annual rate for 5 years. FINAL:
285.71016
285.71016
exponential_interest
1
sinusoid
1
1
240
1
0.073624
Calculate the compound interest: $200 invested at 7.362395323% annual rate for 5 years. FINAL:
285.292896
285.292896
exponential_interest
1
sinusoid
1
1
240
2
0.073371
Calculate the compound interest: $200 invested at 7.337148909% annual rate for 5 years. FINAL:
284.957618
284.957618
exponential_interest
1
sinusoid
1
1
240
3
0.073183
Calculate the compound interest: $200 invested at 7.318286115% annual rate for 5 years. FINAL:
284.707323
284.707323
exponential_interest
1
sinusoid
1
1
240
4
0.07306
Calculate the compound interest: $200 invested at 7.305988597% annual rate for 5 years. FINAL:
284.544238
284.544238
exponential_interest
1
sinusoid
1
1
240
5
0.073004
Calculate the compound interest: $200 invested at 7.300374789% annual rate for 5 years. FINAL:
284.469815
284.469815
exponential_interest
1
sinusoid
1
1
240
6
0.073015
Calculate the compound interest: $200 invested at 7.301498754% annual rate for 5 years. FINAL:
284.484714
284.484714
exponential_interest
1
sinusoid
1
1
240
7
0.073093
Calculate the compound interest: $200 invested at 7.309349668% annual rate for 5 years. FINAL:
284.588804
284.588804
exponential_interest
1
sinusoid
1
1
240
8
0.073239
Calculate the compound interest: $200 invested at 7.323851922% annual rate for 5 years. FINAL:
284.781159
284.781159
exponential_interest
1
sinusoid
1
1
240
9
0.073449
Calculate the compound interest: $200 invested at 7.344865851% annual rate for 5 years. FINAL:
285.060068
285.060068
exponential_interest
1
sinusoid
1
1
240
10
0.073722
Calculate the compound interest: $200 invested at 7.372189081% annual rate for 5 years. FINAL:
285.423044
285.423044
exponential_interest
1
sinusoid
1
1
240
11
0.074056
Calculate the compound interest: $200 invested at 7.405558473% annual rate for 5 years. FINAL:
285.866842
285.866842
exponential_interest
1
sinusoid
1
1
240
12
0.074447
Calculate the compound interest: $200 invested at 7.444652662% annual rate for 5 years. FINAL:
286.387479
286.387479
exponential_interest
1
sinusoid
1
1
240
13
0.074891
Calculate the compound interest: $200 invested at 7.489095149% annual rate for 5 years. FINAL:
286.980264
286.980264
exponential_interest
1
sinusoid
1
1
240
14
0.075385
Calculate the compound interest: $200 invested at 7.538457929% annual rate for 5 years. FINAL:
287.639827
287.639827
exponential_interest
1
sinusoid
1
1
240
15
0.075923
Calculate the compound interest: $200 invested at 7.592265612% annual rate for 5 years. FINAL:
288.360161
288.360161
exponential_interest
1
sinusoid
1
1
240
16
0.0765
Calculate the compound interest: $200 invested at 7.65% annual rate for 5 years. FINAL:
289.134667
289.134667
exponential_interest
1
sinusoid
1
1
240
17
0.077111
Calculate the compound interest: $200 invested at 7.711105079% annual rate for 5 years. FINAL:
289.956203
289.956203
exponential_interest
1
sinusoid
1
1
240
18
0.07775
Calculate the compound interest: $200 invested at 7.774992374% annual rate for 5 years. FINAL:
290.81714
290.81714
exponential_interest
1
sinusoid
1
1
240
19
0.07841
Calculate the compound interest: $200 invested at 7.841046616% annual rate for 5 years. FINAL:
291.709428
291.709428