AZD2014 will be given orally, twice daily at a starting dose of 25 mg per day for 3 days on, 4 days off with a weekly infusion of 80 mg of paclitaxel for 6 weeks followed by a treatment break of one week, therefore each cycle will be 7 weeks long. Cohorts of three patients will be treated at this dose of AZD2014 and then at 50mg and 75 mg providing is it safe to do so. Once we have determined the maximum tolerated dose (MTD) using the 3 days on, 4 days off schedule of AZD2014, patients will be given AZD2014 2 days on, 5 days with their paclitaxel infusion. Patients will be enrolled in cohorts of three to evaluate three escalating doses of AZD2014 to determine the MTD for the 2 days on, 5 days off schedule.