mTORC1/2 Inhibitor AZD2014 or the Oral AKT Inhibitor AZD5363 for Recurrent Endometrial and Ovarian

Inclusion Criteria: * Any histologically confirmed locally advanced recurrent endometrial adenocarcinoma (except for carcinosarcoma), recurrent high-grade serous ovarian/primary peritoneal/fallopian tube carcinoma, or deleterious BRCA mutant recurrent ovarian/primary peritoneal/fallopian tube cancer for whom no curative option is available will be eligible; any patient proven to have metastatic triple negative breast cancer, defined from standard pathologic assays as negative for estrogen receptor (ER) and progesterone receptor (PR) (\< 10% tumor staining) will be eligible * Patients may have unlimited prior chemotherapeutic regimens for management of recurrent locally advanced endometrial carcinoma, recurrent ovarian carcinoma, or metastatic triple negative breast cancer; treatment as frontline therapy for metastatic disease is acceptable; patients who have received prior PARP inhibitors, MTOR inhibitors, and/or AKT inhibitors are allowed to participate; patients may have progressed on prior PARP inhibitor, MTOR inhibitor, or AKT inhibitor but they may not have discontinued drug for toxicity * With the exception of alopecia, any unresolved toxicities from prior chemotherapy should be no greater than Common Terminology Criteria for Adverse Events (CTCAE) (version 4.0) grade 1 at the time of starting study treatment * Patients should have measurable disease as defined by Response Evaluation Criteria in Solid Tumors (RECIST) 1.1; if no measurable disease is present, patients s…