Eligible patients will receive study treatment consisting of a single weekly paclitaxel infusion (80 mg/m2) on Day 1 of each week and twice daily (BD) 50 mg doses of AZD2014 on the first 3 days each week for 6 weeks [except Group A patients in Week 1 of Cycle 1 who will take 50 mg BD doses of AZD2014 on Days 3, 4 and 5 (or Days 4, 5 and 6) to accommodate PK sampling], followed by a break from treatment when no paclitaxel or AZD2014 will be given. This 7-week schedule composes one cycle of treatment. AZD2014 will be administered as oral tablets to fasted patients (i.e., no food 2 hours before and 1 hour after each dose). Patients will receive up to 6 cycles of paclitaxel, although additional cycles of paclitaxel may be given if deemed appropriate by the Investigator.