Let [t] denote the greatest integer ≤ t. If the constant term in the expansion of (3 x^2-1/(2 x^5))^7 is α, then [α] is equal to ____.

Let $\displaystyle [t]$ denote the greatest integer $\displaystyle \leq t$. If the constant term in the expansion of $\displaystyle \left(3 x^2-\frac{1}{2 x^5}\right)^7$ is $\displaystyle \alpha$, then $\displaystyle [\alpha]$ is equal to $\displaystyle \_\_\_\_$.