olymmath

INMO 2004 Problem 6

    Prove that the number of 5 -tuples of positive integers (a,b,c,d,e)(a, b, c, d, e) satisfying the equation

    abcde=5(bcde+acde+abde+abce+abcd)a b c d e=5(b c d e+a c d e+a b d e+a b c e+a b c d)

    is an odd integer.

    Dataset text NuminaMath olympiads. Quoted with source.

    Solutions

    No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.

    Add a solution

    Locator in-inmo/2004/p6 · Tag X92M1VSTV3 · Edit this page on GitHub · Keys: j next, k previous