ARM A (PHASE I, DOSE LEVEL 1): Patients receive paclitaxel albumin-stabilized nanoparticle formulation intravenously (IV) over 30 minutes and gemcitabine hydrochloride IV over 30 minutes on days 1, 8, and 15. Patients also receive WEE1 inhibitor MK-1775 orally (PO) daily on days 1, 2, 8, 9, 15, and 16.