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1987 AIME Question 14

AIME · 1987 AIME

Question 14

Compute $$
\frac{\begin{gathered}(10^4+324)(22^4+324)\\{}\cdot(34^4+324)(46^4+324)\\{}\cdot(58^4+324)\end{gathered}}{\begin{gathered}(4^4+324)(16^4+324)\\{}\cdot(28^4+324)(40^4+324)\\{}\cdot(52^4+324)\end{gathered}}.
$$