# Polynomial mania

Algebra Level 4

Given that $$f (x)=x^{4}+\left \lfloor\frac {2p}{5} \right \rfloor x^{3}+12x^{2}+4qx+r$$ is divisible by $$x^{3}+3x^{2}+9x+r$$ where $$p,q ,r$$ are positive integers with $$0 <r <7$$.

What is the value of $$\left \lfloor \frac {p+q+r-1}{3} \right \rfloor$$?

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