This year Diane intends to file a married$-$joint return. Diane received $$189,700$ of salary and paid $$8,350$ of interest on loans used to pay qualified tuition costs for her dependent daughter, Deb. This year Diane has also paid moving expenses of $$5,100$ and $$29,400$ of alimony to her ex$-$spouse, Jack, who she divorced in $2013.$

a$.$ What is Diane's adjusted gross income?

b$.$ Suppose that Diane also reported income of $$12,850$ from a half share of profits from a partnership. Dis regard any potential self$-$employment taxes on this income. What AGI would Diane repot under these circumstances?