Let $A$ and $B$ be two $3 \times 3$ real matrices such that $A^{2}B^{2}$ is an invertible matrix. If $A^{5} = -B^{5}$ and $A^{3}B^{2} = -A^{2}B^{3}$, then the value of the determinant of the matrix $A^{3} + B^{3}$ is equal to: