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MathNet 2022-part-05 — 197 problems (EN–VI) Question 169

Math Olympiad Vault · MathNet 2022-part-05 — 197 problems (EN–VI)

Question 169

When dividing with remainder some four consecutive positive integers by some three-digit integer it turned out, that the sum of these four remainders is equal to $983$. Find the remainder under the division of the smallest of these four numbers by $109$.