Simplify the expression completely: (-5 z^12 -20 z^9 -20 z^5)/(5 z^3)
In general: za/zb = za-b so you will be left with:
-z12-3 - 4z9-3 - 4z5-3 → -z9 - 4z6 -4z2
You could also write this as -z2(z7 + 4z4 + 4)
.