Join the USAMO Guide Discord Server. Regular updates are posted there!
From module Symmetric Cubic Identity
The number of ordered pairs of integers (m,n)(m, n)(m,n) for which mn≥0mn \geq 0mn≥0 and m3+n3+99mn=333m^3 + n^3 + 99mn = 33^3m3+n3+99mn=333 is equal to
← Back to all problems