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1987 AIME Problems
14
A complicated fraction
A complicated fraction
Source:
March 16, 2006
Problem Statement
Compute
(
1
0
4
+
324
)
(
2
2
4
+
324
)
(
3
4
4
+
324
)
(
4
6
4
+
324
)
(
5
8
4
+
324
)
(
4
4
+
324
)
(
1
6
4
+
324
)
(
2
8
4
+
324
)
(
4
0
4
+
324
)
(
5
2
4
+
324
)
.
\frac{(10^4+324)(22^4+324)(34^4+324)(46^4+324)(58^4+324)}{(4^4+324)(16^4+324)(28^4+324)(40^4+324)(52^4+324)}.
(
4
4
+
324
)
(
1
6
4
+
324
)
(
2
8
4
+
324
)
(
4
0
4
+
324
)
(
5
2
4
+
324
)
(
1
0
4
+
324
)
(
2
2
4
+
324
)
(
3
4
4
+
324
)
(
4
6
4
+
324
)
(
5
8
4
+
324
)
.
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