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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