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
2.5
1
240
40
0.096904
Calculate the compound interest: $200 invested at 9.690370196% annual rate for 5 years. FINAL:
317.594159
317.594159
exponential_interest
1
sinusoid
2.5
1
240
41
0.096378
Calculate the compound interest: $200 invested at 9.637835372% annual rate for 5 years. FINAL:
316.834349
316.834349
exponential_interest
1
sinusoid
2.5
1
240
42
0.095695
Calculate the compound interest: $200 invested at 9.569527298% annual rate for 5 years. FINAL:
315.848585
315.848585
exponential_interest
1
sinusoid
2.5
1
240
43
0.094861
Calculate the compound interest: $200 invested at 9.486103818% annual rate for 5 years. FINAL:
314.648019
314.648019
exponential_interest
1
sinusoid
2.5
1
240
44
0.093884
Calculate the compound interest: $200 invested at 9.388368346% annual rate for 5 years. FINAL:
313.246132
313.246132
exponential_interest
1
sinusoid
2.5
1
240
45
0.092773
Calculate the compound interest: $200 invested at 9.277262127% annual rate for 5 years. FINAL:
311.658534
311.658534
exponential_interest
1
sinusoid
2.5
1
240
46
0.091539
Calculate the compound interest: $200 invested at 9.153855176% annual rate for 5 years. FINAL:
309.902722
309.902722
exponential_interest
1
sinusoid
2.5
1
240
47
0.090193
Calculate the compound interest: $200 invested at 9.01933597% annual rate for 5 years. FINAL:
307.997831
307.997831
exponential_interest
1
sinusoid
2.5
1
240
48
0.08875
Calculate the compound interest: $200 invested at 8.875% annual rate for 5 years. FINAL:
305.964356
305.964356
exponential_interest
1
sinusoid
2.5
1
240
49
0.087222
Calculate the compound interest: $200 invested at 8.722237302% annual rate for 5 years. FINAL:
303.823876
303.823876
exponential_interest
1
sinusoid
2.5
1
240
50
0.085625
Calculate the compound interest: $200 invested at 8.562519064% annual rate for 5 years. FINAL:
301.598763
301.598763
exponential_interest
1
sinusoid
2.5
1
240
51
0.083974
Calculate the compound interest: $200 invested at 8.39738346% annual rate for 5 years. FINAL:
299.311905
299.311905
exponential_interest
1
sinusoid
2.5
1
240
52
0.082284
Calculate the compound interest: $200 invested at 8.228420836% annual rate for 5 years. FINAL:
296.986429
296.986429
exponential_interest
1
sinusoid
2.5
1
240
53
0.080573
Calculate the compound interest: $200 invested at 8.057258395% annual rate for 5 years. FINAL:
294.645436
294.645436
exponential_interest
1
sinusoid
2.5
1
240
54
0.078855
Calculate the compound interest: $200 invested at 7.885544524% annual rate for 5 years. FINAL:
292.311758
292.311758
exponential_interest
1
sinusoid
2.5
1
240
55
0.077149
Calculate the compound interest: $200 invested at 7.714932922% annual rate for 5 years. FINAL:
290.007729
290.007729
exponential_interest
1
sinusoid
2.5
1
240
56
0.075471
Calculate the compound interest: $200 invested at 7.547066671% annual rate for 5 years. FINAL:
287.754977
287.754977
exponential_interest
1
sinusoid
2.5
1
240
57
0.073836
Calculate the compound interest: $200 invested at 7.383562416% annual rate for 5 years. FINAL:
285.574242
285.574242
exponential_interest
1
sinusoid
2.5
1
240
58
0.07226
Calculate the compound interest: $200 invested at 7.225994792% annual rate for 5 years. FINAL:
283.485217
283.485217
exponential_interest
1
sinusoid
2.5
1
240
59
0.070759
Calculate the compound interest: $200 invested at 7.075881261% annual rate for 5 years. FINAL:
281.506406
281.506406
exponential_interest
1
sinusoid
2.5
1
240
60
0.069347
Calculate the compound interest: $200 invested at 6.934667499% annual rate for 5 years. FINAL:
279.655015
279.655015
exponential_interest
1
sinusoid
2.5
1
240
61
0.068037
Calculate the compound interest: $200 invested at 6.803713471% annual rate for 5 years. FINAL:
277.946853
277.946853
exponential_interest
1
sinusoid
2.5
1
240
62
0.066843
Calculate the compound interest: $200 invested at 6.684280337% annual rate for 5 years. FINAL:
276.396256
276.396256
exponential_interest
1
sinusoid
2.5
1
240
63
0.065775
Calculate the compound interest: $200 invested at 6.577518302% annual rate for 5 years. FINAL:
275.016032
275.016032
exponential_interest
1
sinusoid
2.5
2
240
0
0.064845
Calculate the compound interest: $200 invested at 6.484455543% annual rate for 5 years. FINAL:
273.817417
273.817417
exponential_interest
1
sinusoid
2.5
2
240
1
0.063429
Calculate the compound interest: $200 invested at 6.342872273% annual rate for 5 years. FINAL:
272.001893
272.001893
exponential_interest
1
sinusoid
2.5
2
240
2
0.06265
Calculate the compound interest: $200 invested at 6.264971493% annual rate for 5 years. FINAL:
271.007086
271.007086
exponential_interest
1
sinusoid
2.5
2
240
3
0.062537
Calculate the compound interest: $200 invested at 6.253746884% annual rate for 5 years. FINAL:
270.863986
270.863986
exponential_interest
1
sinusoid
2.5
2
240
4
0.063096
Calculate the compound interest: $200 invested at 6.309629804% annual rate for 5 years. FINAL:
271.577024
271.577024
exponential_interest
1
sinusoid
2.5
2
240
5
0.064305
Calculate the compound interest: $200 invested at 6.430472702% annual rate for 5 years. FINAL:
273.124054
273.124054
exponential_interest
1
sinusoid
2.5
2
240
6
0.066116
Calculate the compound interest: $200 invested at 6.611631654% annual rate for 5 years. FINAL:
275.45645
275.45645
exponential_interest
1
sinusoid
2.5
2
240
7
0.068461
Calculate the compound interest: $200 invested at 6.846144824% annual rate for 5 years. FINAL:
278.49941
278.49941
exponential_interest
1
sinusoid
2.5
2
240
8
0.07125
Calculate the compound interest: $200 invested at 7.125% annual rate for 5 years. FINAL:
282.152674
282.152674
exponential_interest
1
sinusoid
2.5
2
240
9
0.074375
Calculate the compound interest: $200 invested at 7.437480936% annual rate for 5 years. FINAL:
286.291913
286.291913
exponential_interest
1
sinusoid
2.5
2
240
10
0.077716
Calculate the compound interest: $200 invested at 7.771579164% annual rate for 5 years. FINAL:
290.771093
290.771093
exponential_interest
1
sinusoid
2.5
2
240
11
0.081145
Calculate the compound interest: $200 invested at 8.114455476% annual rate for 5 years. FINAL:
295.426073
295.426073
exponential_interest
1
sinusoid
2.5
2
240
12
0.084529
Calculate the compound interest: $200 invested at 8.452933329% annual rate for 5 years. FINAL:
300.079626
300.079626
exponential_interest
1
sinusoid
2.5
2
240
13
0.08774
Calculate the compound interest: $200 invested at 8.774005208% annual rate for 5 years. FINAL:
304.547891
304.547891
exponential_interest
1
sinusoid
2.5
2
240
14
0.090653
Calculate the compound interest: $200 invested at 9.065332501% annual rate for 5 years. FINAL:
308.648119
308.648119
exponential_interest
1
sinusoid
2.5
2
240
15
0.093157
Calculate the compound interest: $200 invested at 9.315719663% annual rate for 5 years. FINAL:
312.207324
312.207324
exponential_interest
1
sinusoid
2.5
2
240
16
0.095155
Calculate the compound interest: $200 invested at 9.515544457% annual rate for 5 years. FINAL:
315.071288
315.071288
exponential_interest
1
sinusoid
2.5
2
240
17
0.096571
Calculate the compound interest: $200 invested at 9.657127727% annual rate for 5 years. FINAL:
317.113204
317.113204
exponential_interest
1
sinusoid
2.5
2
240
18
0.09735
Calculate the compound interest: $200 invested at 9.735028507% annual rate for 5 years. FINAL:
318.241197
318.241197
exponential_interest
1
sinusoid
2.5
2
240
19
0.097463
Calculate the compound interest: $200 invested at 9.746253116% annual rate for 5 years. FINAL:
318.403992
318.403992
exponential_interest
1
sinusoid
2.5
2
240
20
0.096904
Calculate the compound interest: $200 invested at 9.690370196% annual rate for 5 years. FINAL:
317.594159
317.594159
exponential_interest
1
sinusoid
2.5
2
240
21
0.095695
Calculate the compound interest: $200 invested at 9.569527298% annual rate for 5 years. FINAL:
315.848585
315.848585
exponential_interest
1
sinusoid
2.5
2
240
22
0.093884
Calculate the compound interest: $200 invested at 9.388368346% annual rate for 5 years. FINAL:
313.246132
313.246132
exponential_interest
1
sinusoid
2.5
2
240
23
0.091539
Calculate the compound interest: $200 invested at 9.153855176% annual rate for 5 years. FINAL:
309.902722
309.902722
exponential_interest
1
sinusoid
2.5
2
240
24
0.08875
Calculate the compound interest: $200 invested at 8.875% annual rate for 5 years. FINAL:
305.964356
305.964356
exponential_interest
1
sinusoid
2.5
2
240
25
0.085625
Calculate the compound interest: $200 invested at 8.562519064% annual rate for 5 years. FINAL:
301.598763
301.598763
exponential_interest
1
sinusoid
2.5
2
240
26
0.082284
Calculate the compound interest: $200 invested at 8.228420836% annual rate for 5 years. FINAL:
296.986429
296.986429
exponential_interest
1
sinusoid
2.5
2
240
27
0.078855
Calculate the compound interest: $200 invested at 7.885544524% annual rate for 5 years. FINAL:
292.311758
292.311758
exponential_interest
1
sinusoid
2.5
2
240
28
0.075471
Calculate the compound interest: $200 invested at 7.547066671% annual rate for 5 years. FINAL:
287.754977
287.754977
exponential_interest
1
sinusoid
2.5
2
240
29
0.07226
Calculate the compound interest: $200 invested at 7.225994792% annual rate for 5 years. FINAL:
283.485217
283.485217
exponential_interest
1
sinusoid
2.5
2
240
30
0.069347
Calculate the compound interest: $200 invested at 6.934667499% annual rate for 5 years. FINAL:
279.655015
279.655015
exponential_interest
1
sinusoid
2.5
2
240
31
0.066843
Calculate the compound interest: $200 invested at 6.684280337% annual rate for 5 years. FINAL:
276.396256
276.396256
exponential_interest
1
sinusoid
2.5
2
240
32
0.064845
Calculate the compound interest: $200 invested at 6.484455543% annual rate for 5 years. FINAL:
273.817417
273.817417
exponential_interest
1
sinusoid
2.5
2
240
33
0.063429
Calculate the compound interest: $200 invested at 6.342872273% annual rate for 5 years. FINAL:
272.001893
272.001893
exponential_interest
1
sinusoid
2.5
2
240
34
0.06265
Calculate the compound interest: $200 invested at 6.264971493% annual rate for 5 years. FINAL:
271.007086
271.007086
exponential_interest
1
sinusoid
2.5
2
240
35
0.062537
Calculate the compound interest: $200 invested at 6.253746884% annual rate for 5 years. FINAL:
270.863986
270.863986
exponential_interest
1
sinusoid
2.5
2
240
36
0.063096
Calculate the compound interest: $200 invested at 6.309629804% annual rate for 5 years. FINAL:
271.577024
271.577024
exponential_interest
1
sinusoid
2.5
2
240
37
0.064305
Calculate the compound interest: $200 invested at 6.430472702% annual rate for 5 years. FINAL:
273.124054
273.124054
exponential_interest
1
sinusoid
2.5
2
240
38
0.066116
Calculate the compound interest: $200 invested at 6.611631654% annual rate for 5 years. FINAL:
275.45645
275.45645
exponential_interest
1
sinusoid
2.5
2
240
39
0.068461
Calculate the compound interest: $200 invested at 6.846144824% annual rate for 5 years. FINAL:
278.49941
278.49941
exponential_interest
1
sinusoid
2.5
2
240
40
0.07125
Calculate the compound interest: $200 invested at 7.125% annual rate for 5 years. FINAL:
282.152674
282.152674
exponential_interest
1
sinusoid
2.5
2
240
41
0.074375
Calculate the compound interest: $200 invested at 7.437480936% annual rate for 5 years. FINAL:
286.291913
286.291913
exponential_interest
1
sinusoid
2.5
2
240
42
0.077716
Calculate the compound interest: $200 invested at 7.771579164% annual rate for 5 years. FINAL:
290.771093
290.771093
exponential_interest
1
sinusoid
2.5
2
240
43
0.081145
Calculate the compound interest: $200 invested at 8.114455476% annual rate for 5 years. FINAL:
295.426073
295.426073
exponential_interest
1
sinusoid
2.5
2
240
44
0.084529
Calculate the compound interest: $200 invested at 8.452933329% annual rate for 5 years. FINAL:
300.079626
300.079626
exponential_interest
1
sinusoid
2.5
2
240
45
0.08774
Calculate the compound interest: $200 invested at 8.774005208% annual rate for 5 years. FINAL:
304.547891
304.547891
exponential_interest
1
sinusoid
2.5
2
240
46
0.090653
Calculate the compound interest: $200 invested at 9.065332501% annual rate for 5 years. FINAL:
308.648119
308.648119
exponential_interest
1
sinusoid
2.5
2
240
47
0.093157
Calculate the compound interest: $200 invested at 9.315719663% annual rate for 5 years. FINAL:
312.207324
312.207324
exponential_interest
1
sinusoid
2.5
2
240
48
0.095155
Calculate the compound interest: $200 invested at 9.515544457% annual rate for 5 years. FINAL:
315.071288
315.071288
exponential_interest
1
sinusoid
2.5
2
240
49
0.096571
Calculate the compound interest: $200 invested at 9.657127727% annual rate for 5 years. FINAL:
317.113204
317.113204
exponential_interest
1
sinusoid
2.5
2
240
50
0.09735
Calculate the compound interest: $200 invested at 9.735028507% annual rate for 5 years. FINAL:
318.241197
318.241197
exponential_interest
1
sinusoid
2.5
2
240
51
0.097463
Calculate the compound interest: $200 invested at 9.746253116% annual rate for 5 years. FINAL:
318.403992
318.403992
exponential_interest
1
sinusoid
2.5
2
240
52
0.096904
Calculate the compound interest: $200 invested at 9.690370196% annual rate for 5 years. FINAL:
317.594159
317.594159
exponential_interest
1
sinusoid
2.5
2
240
53
0.095695
Calculate the compound interest: $200 invested at 9.569527298% annual rate for 5 years. FINAL:
315.848585
315.848585
exponential_interest
1
sinusoid
2.5
2
240
54
0.093884
Calculate the compound interest: $200 invested at 9.388368346% annual rate for 5 years. FINAL:
313.246132
313.246132
exponential_interest
1
sinusoid
2.5
2
240
55
0.091539
Calculate the compound interest: $200 invested at 9.153855176% annual rate for 5 years. FINAL:
309.902722
309.902722
exponential_interest
1
sinusoid
2.5
2
240
56
0.08875
Calculate the compound interest: $200 invested at 8.875% annual rate for 5 years. FINAL:
305.964356
305.964356
exponential_interest
1
sinusoid
2.5
2
240
57
0.085625
Calculate the compound interest: $200 invested at 8.562519064% annual rate for 5 years. FINAL:
301.598763
301.598763
exponential_interest
1
sinusoid
2.5
2
240
58
0.082284
Calculate the compound interest: $200 invested at 8.228420836% annual rate for 5 years. FINAL:
296.986429
296.986429
exponential_interest
1
sinusoid
2.5
2
240
59
0.078855
Calculate the compound interest: $200 invested at 7.885544524% annual rate for 5 years. FINAL:
292.311758
292.311758
exponential_interest
1
sinusoid
2.5
2
240
60
0.075471
Calculate the compound interest: $200 invested at 7.547066671% annual rate for 5 years. FINAL:
287.754977
287.754977
exponential_interest
1
sinusoid
2.5
2
240
61
0.07226
Calculate the compound interest: $200 invested at 7.225994792% annual rate for 5 years. FINAL:
283.485217
283.485217
exponential_interest
1
sinusoid
2.5
2
240
62
0.069347
Calculate the compound interest: $200 invested at 6.934667499% annual rate for 5 years. FINAL:
279.655015
279.655015
exponential_interest
1
sinusoid
2.5
2
240
63
0.066843
Calculate the compound interest: $200 invested at 6.684280337% annual rate for 5 years. FINAL:
276.396256
276.396256
exponential_interest
1
sinusoid
2.5
4
240
0
0.064845
Calculate the compound interest: $200 invested at 6.484455543% annual rate for 5 years. FINAL:
273.817417
273.817417
exponential_interest
1
sinusoid
2.5
4
240
1
0.06265
Calculate the compound interest: $200 invested at 6.264971493% annual rate for 5 years. FINAL:
271.007086
271.007086
exponential_interest
1
sinusoid
2.5
4
240
2
0.063096
Calculate the compound interest: $200 invested at 6.309629804% annual rate for 5 years. FINAL:
271.577024
271.577024
exponential_interest
1
sinusoid
2.5
4
240
3
0.066116
Calculate the compound interest: $200 invested at 6.611631654% annual rate for 5 years. FINAL:
275.45645
275.45645
exponential_interest
1
sinusoid
2.5
4
240
4
0.07125
Calculate the compound interest: $200 invested at 7.125% annual rate for 5 years. FINAL:
282.152674
282.152674
exponential_interest
1
sinusoid
2.5
4
240
5
0.077716
Calculate the compound interest: $200 invested at 7.771579164% annual rate for 5 years. FINAL:
290.771093
290.771093
exponential_interest
1
sinusoid
2.5
4
240
6
0.084529
Calculate the compound interest: $200 invested at 8.452933329% annual rate for 5 years. FINAL:
300.079626
300.079626
exponential_interest
1
sinusoid
2.5
4
240
7
0.090653
Calculate the compound interest: $200 invested at 9.065332501% annual rate for 5 years. FINAL:
308.648119
308.648119
exponential_interest
1
sinusoid
2.5
4
240
8
0.095155
Calculate the compound interest: $200 invested at 9.515544457% annual rate for 5 years. FINAL:
315.071288
315.071288
exponential_interest
1
sinusoid
2.5
4
240
9
0.09735
Calculate the compound interest: $200 invested at 9.735028507% annual rate for 5 years. FINAL:
318.241197
318.241197
exponential_interest
1
sinusoid
2.5
4
240
10
0.096904
Calculate the compound interest: $200 invested at 9.690370196% annual rate for 5 years. FINAL:
317.594159
317.594159
exponential_interest
1
sinusoid
2.5
4
240
11
0.093884
Calculate the compound interest: $200 invested at 9.388368346% annual rate for 5 years. FINAL:
313.246132
313.246132