Question 4
Determine all functions $f: \mathbb{Z} \rightarrow \mathbb{Z}$ satisfying
$$
f(f(m)+n)+f(m)=f(n)+f(3 m)+2014
$$
for all integers $m$ and $n$.
$$
f(f(m)+n)+f(m)=f(n)+f(3 m)+2014
$$
for all integers $m$ and $n$.
IMO 2014 — Complete Shortlist Question 4
IMO Shortlist · IMO 2014 — Complete Shortlist