Number theory · Diophantine equations · Modular arithmetic · Cubic residues
Find all integer solutions of the equation
\[ 6x^{3} + 7y^{2} + 8z^{3} = 66\,677\,888. \]
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Serbian Regional Competition (Okruzno takmicenje) 2019, high school grade I, category A, problem 1. Organized by the Mathematical Society of Serbia (DMS). Source