I found the following problem from the 10th Iranian Mathematical Olympiad in Crux Magazine.

Find all integer solutions of $$frac{1}{m}+frac{1}{n}-frac{1}{mn^2}=frac{3}{4}$$

Initially it looked …

Find all integer solutions of $$frac{1}{m}+frac{1}{n}-frac{1}{mn^2}=frac{3}{4}$$

Initially it looked …