<p>The number of ordered pairs of integers <img alt="$(m,n)$" height="18" src="https://latex.artofproblemsolving.com/7/c/a/7ca10ffe3531cf1faf6222be7eac407c47bef878.png" width="47" /> for which <img alt="$mn \ge 0$" height="15" src="https://latex.artofproblemsolving.com/9/3/9/939bb3c16929be28eb8da189b4d9951064d4beec.png" width="59" /> and <img alt="$m^3 + n^3 + 99mn = 33^3$" height="16" src="https://latex.artofproblemsolving.com/d/6/c/d6c9a24f7b944fbf961ca9635490c43648ee858c.png" width="179" /> is equal to ?</p>

Question No: 232

The number of ordered pairs of integers $(m,n)$ for which $mn \ge 0$ and $m^3 + n^3 + 99mn = 33^3$ is equal to ?

Editorial

Tags: Algebra

Question Details