Patient description: The patient is a 37-year-old woman who came to the clinic for a routine Pap smear. The test revealed stage 1B of cervical cancer. The patient tested positive for HPV 16. She has three sexual partners and four children. She underwent tubal ligation. She smokes 30 packs/year and drinks alcohol frequently. She is otherwise healthy. She was offered a radical hysterectomy.

Clinical trial eligibility criteria: eligible ages (years): 18.0-999.0,  BRCA1 Mutation Carrier BRCA2 Mutation Carrier Endometrial Adenocarcinoma Estrogen Receptor Negative HER2/Neu Negative High Grade Ovarian Serous Adenocarcinoma Progesterone Receptor Negative Recurrent Breast Carcinoma Recurrent Fallopian Tube Carcinoma Recurrent Ovarian Carcinoma Recurrent Primary Peritoneal Carcinoma Recurrent Uterine Corpus Carcinoma Stage III Uterine Corpus Cancer AJCC v7 Stage IV Breast Cancer AJCC v6 and v7 Stage IV Uterine Corpus Cancer AJCC v7 Triple-Negative Breast Carcinoma 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 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 in Solid Tumors (RECIST) 1.1; if no measurable disease is present, patients should have assessable disease such as pleural effusion, ascites, with cancer antigen 125 (CA125) Gynecological Cancer Intergroup (GCIG) Patients must have an Eastern Cooperative Oncology Group (ECOG) performance status of 0 or 1 Women of child-bearing potential and their partners must agree to use contraception (hormonal or barrier method of birth control; abstinence) from study entry until 30 days after last dose of study drug; male partners should be instructed to use contraception during the study period; women of child-bearing potential (intact uterus) should have a negative serum pregnancy test; if a woman becomes pregnant or suspects she is pregnant while on study, she should tell her treating physician immediately; female patients must have evidence of non-child-bearing potential by fulfilling 1 of the following at screening: a) post-menopausal defined as > 50 years old and amenorrheic for >= 12 consecutive months following cessation of all exogenous hormonal treatments; b) documentation of irreversible surgical sterilization by hysterectomy, bilateral oophorectomy or bilateral salpingectomy, but not tubal ligation Women must not breast-feed while taking the study medications Absolute neutrophil count >= 1,500/mcL (measured within 28 days prior to entry/randomization) Hemoglobin >= 10 gm/dL (measured within 28 days prior to entry/randomization) Platelets >= 100,000/mcL (measured within 28 days prior to entry/randomization)  Patients receiving any other investigational agents or any additional anti-cancer agents Patients who have endometrial carcinosarcoma; patients with ovarian cancer who have histology other than high-grade serous in the absence of a deleterious BRCA mutation; if the patient has a deleterious BRCA mutation, any histology will be accepted Patients who have recurrences that are amenable to potentially curative treatment with radiation therapy or surgery Patients who have a history of other malignancies except for basal cell or squamous cell skin cancer, in situ cervical cancer, unless they have been disease-free for at least five years; patients may have dual primaries of endometrial, ovarian or breast cancer Patients who have a history of myelodysplastic syndrome Patients who have symptomatic, uncontrolled spinal cord compression and/or brain metastases; a scan to confirm absence of brain metastasis is not required; patients can receive a stable dose of corticosteroids (except those prohibited per protocol) before/during study if these were started at least 28 days prior to entry Patients who have had prior chemotherapy, biological therapy, radiation therapy, androgens, thalidomide, immunotherapy, other anticancer agents, and any investigational agents within 28 days of starting study treatment (not including palliative radiotherapy at focal sites), or corticosteroids that are prohibited per protocol within 14 days of starting study treatment Patients who have had major surgery within 28 days prior to entry into the study or be recovering from any effects of surgery; patients who have had minor surgery within 2 weeks prior to entry into the study Patients who have a resting electrocardiogram (ECG) with a Fridericia corrected QT (QTcF) interval of >= 470 msec at 2 or more time points within a 24 hour period or a family history of long QT syndrome Patients who have required a blood transfusion within 28 days prior to study start