Question 56
Determine all functions $f: \mathbb{Z} \to \mathbb{Z}$ satisfying
$$
f(f(m) + n) + f(m) = f(n) + f(3m) + 2014
$$
for all integers $m$ and $n$.
$$
f(f(m) + n) + f(m) = f(n) + f(3m) + 2014
$$
for all integers $m$ and $n$.
MathNet 2014 Question 56
Math Olympiad Vault · MathNet 2014