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Present rational number in the form of fraction

Source: 51 Polish MO 2000 Second Round - Problem 1

April 23, 2018
algebrarational numberFractionPoland

Problem Statement

Decide, whether every positive rational number can present in the form a2+b3c5+d7\frac{a^2 + b^3}{c^5 + d^7}, where a,b,c,da, b, c, d are positive integers.
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