Question 70
Find all integers $n$ for which
$$
f(n) = \frac{9n(n-5)^{2013} - n^2 - 7}{n^2 - 9n + 21}
$$
is an integer.
$$
f(n) = \frac{9n(n-5)^{2013} - n^2 - 7}{n^2 - 9n + 21}
$$
is an integer.
MathNet 2026 — Part 05 Question 70
Math Olympiad Vault · MathNet 2026 — Part 05