# Sine is Boxed

Geometry Level 5

Find the number of solutions in $$p \in \mathbb{R}$$ of the expression below:

$\large \frac{5 p^2-2 p}{6 p-3}= \lfloor \sin p \rfloor$

 Notation: $$\lfloor \cdot \rfloor$$ denotes the floor function.

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