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Romania NMO 2023 Grade 5 P1

Source: Romania National Olympiad 2023

April 14, 2023
number theoryDivisibility

Problem Statement

The non-zero natural number n is a perfect square. By dividing 20232023 by nn, we obtain the remainder 22332n223- \frac{3}{2} \cdot n. Find the quotient of the division.