Abstract: We announce proofs of Macdonald's constant term conjectures for the affine root systems $S( F_4 )$ and $S ( F_4 )^\vee$. We also give an algorithm for deciding the conjectures for the remaining root systems $S( E_6 )$, $S( E_7 )$ and $S( E_8 )$ and prove that the constant term in question can be indeed expressed in closed form. Combined with previous work of Zeilberger-Bressoud, Kadell, and Gustafson, our results imply that Macdonald's conjectures are true in form for any root system, and the complete truth of Macdonald's conjectures is a finite number of mips away.