Y by Davi-8191, ImSh95, HWenslawski, megarnie, Adventure10, Mango247
Find all functions
such that
for all rational numbers
that form an arithmetic progression. (
is the set of all rational numbers.)

![\[f(x)+f(t)=f(y)+f(z)\]](http://latex.artofproblemsolving.com/7/e/c/7ecb395c1e56e6d9726fc45f1bc7a66d98333da2.png)


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