\[ \left(-17 v^{4} z^{3}+12 v^{2} z\right) \div\left(-2 v^{4} z^{3}\right) \] Simplify your answer as much as possible.

To simplify the expression \[ \left(-17 v^{4} z^{3}+12 v^{2} z\right) \div\left(-2 v^{4} z^{3}\right), \] we can start by splitting the division across the two terms in the numerator: \[ \frac{-17 v^{4} z^{3}}{-2 v^{4} z^{3}} + \frac{12 v^{2} z}{-2 v^{4} z^{3}}. \] Now, simplifying the first term: \[ \frac{-17 v^{4} z^{3}}{-2 v^{4} z^{3}} = \frac{17}{2}. \] For the second term, we simplify: \[ \frac{12 v^{2} z}{-2 v^{4} z^{3}} = \frac{12}{-2} \cdot \frac{v^{2}}{v^{4}} \cdot \frac{z}{z^{3}} = -6 \cdot \frac{1}{v^{2}} \cdot \frac{1}{z^{2}} = -\frac{6}{v^{2} z^{2}}. \] Combining the results, we have: \[ \frac{17}{2} - \frac{6}{v^{2} z^{2}}. \] Thus, the simplified expression is: \[ \frac{17}{2} - \frac{6}{v^{2} z^{2}}. \]