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IMAS 2025-2026 Junior Division - First Round Question 14

IMAS · IMAS 2025-2026 Junior Division - First Round

Question 14

Let the number $N$ be $\frac{1^4+2024^4+2025^4}{1^2+2024^2+2025^2}$. What is the remainder when $N$ is divided by 2026?
  1. $0$
  2. $3$
  3. $8$
  4. $2024$
  5. $2025$