Number theory · Diophantine equations · Factorisation by grouping · Divisors · Parity
Find all pairs of integers \(a\) and \(b\) satisfying
\[ 4a - 2b + 22ab^2 - 11b^3 = 2024 . \]
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Slovenian High School Mathematics Competition for Vega Awards (MaSSA), odbirno (qualifying) round 2024, 1. letnik, category A, problem 1. Organized by DMFA Slovenije (Society of Mathematicians, Physicists and Astronomers of Slovenia). Source