Question 136
Find all natural numbers $n$ for which
$$
\frac{100 n^{5}-n^{4}-50 n^{3}+2 n^{2}-290 n-2}{n^{2}-2}
$$
is an integer.
(20 points)
$$
\frac{100 n^{5}-n^{4}-50 n^{3}+2 n^{2}-290 n-2}{n^{2}-2}
$$
is an integer.
(20 points)
MathNet 2018-part-05 — 181 problems (EN–VI) Question 136
Math Olympiad Vault · MathNet 2018-part-05 — 181 problems (EN–VI)