Selected strong inhibitors of cytochrome P450, family 3, subfamily A, polypeptide 4 (cytochrome P450 3A4) include azole antifungals, such as fluconazole, voriconazole, itraconazole, ketoconazole, and strong inducers include drugs such as rifampin, phenytoin, phenobarbitol, carbamazepine, and St. Johns wort; the use of these drugs should be avoided with vincristine (vincristine sulfate) Patients must not be receiving any of the following potent cytochrome P450, family 3, subfamily A, polypeptide 4 (CYP3A4) inducers or inhibitors: erythromycin, clarithromycin, azithromycin, ketoconazole, itraconazole, voriconazole, posaconazole, grapefruit juice or St. Johns wort TREATMENT: Eligibility of subjects receiving any medications or substances known to affect or with the potential to affect the activity or pharmacokinetics (i.e., cytochrome P450, family 3, subfamily A, polypeptide 4 [CYP450], P-glycoprotein [PgP]) of any of the study drugs will be determined following review of their cases by the principal investigator (PI); patients on strong and moderate cytochrome P450 system inducers or inhibitors are ineligible; every effort would be made to switch patients off medications that are known substrates of CYP450; if it is medically important for the patient to remain on such medications, these patients can still be eligible to participate based on PI discretion Current use of the following cytochrome P450, family 3, subfamily A, polypeptide 4 (CYP 3A4) inhibitors are not allowed: boceprevir, clarithromycin, cyclosporine (oral), darunavir plus ritonavir, fosamprenavir, fosamprenavir plus ritonavir, gemfibrozil, grapefruit juice > 1 liter per day, itraconazole, lopinavir plus ritonavir, nelfinavir, saquinavir plus ritonavir, telaprevir, tipranavir plus ritonavir Caution should be exercised when dosing navitoclax concurrently with cytochrome P450, family 2, subfamily C, peptide 8 (CYP2C8) and cytochrome P450, family 2, subfamily C, peptide 9 (CYP2C9) substrates; common CYP2C8 substrates include paclitaxel, statins, and glitazones, whereas CYP2C9 substrates include phenytoin; when possible, investigators should switch to alternative medications or monitor the patients closely; cytochrome P450, family 3, subfamily A (CYP3A) inhibitors such as ketoconazole and clarithromycin are not allowed 7 days prior to the first dose of navitoclax or during navitoclax administration Cytochrome P450, family 3, subfamily A, polypeptide 4 (CYP3A4) substrates with narrow therapeutic indices: Patients chronically receiving medications known to be metabolized by CYP3A4 and with narrow therapeutic indices including pimozide, aripiprazole, triazolam, ergotamine and halofantrine are not eligible; the topical use of these medications (if applicable) is allowed Caution should be exercised when dosing navitoclax concurrently with cytochrome P450, family 2, subfamily C, polypeptide 8 (CYP2C8) and cytochrome P450, family 2, subfamily C, polypeptide 9 (CYP2C9) substrates; common CYP2C8 substrates include paclitaxel, statins, and glitazones, whereas CYP2C9 substrates include phenytoin and warfarin; when possible, investigators should switch to alternative medications or monitor the patients closely (particularly in the case of medications that have a narrow therapeutic window such as warfarin; use of warfarin is specifically prohibited while on study); cytochrome P450, family 3, subfamily A (CYP3A) inhibitors such as ketoconazole and clarithromycin are not allowed 7 days prior to the first dose of navitoclax or during navitoclax administration; as part of the enrollment/informed consent procedures, the patient will be counseled on the risk of interactions with other agents, and what to do if new medications need to be prescribed or if the patient is considering a new over-the-counter medicine or herbal product; patient instructions and information of possible drug interactions will be given to all patients upon enrollment in this study Patients who are currently receiving drugs that are strong or moderate inhibitors and/or inducers of cytochrome P450, family 3, subfamily A, polypeptide 4 (CYP3A4) or sensitive CYP3A4 substrates and CYP3A4 substrates with a narrow therapeutic range are not eligible; the use of aprepitant as an antiemetic is prohibited; caution should be exercised with concomitant administration of AZD1755 (MK-1775) and agents that are sensitive substrates of cytochrome P450, family 2, subfamily C, polypeptide 8 (CYP2C8), 2C9 and 2C19, or substrates of this enzyme with narrow therapeutic ranges, as well as agents that are inhibitors or substrates of permeability glycoprotein (P-gp) Patients taking the following prescription or non-prescription drugs or other products (i.e. grapefruit juice) are ineligible: sensitive cytochrome P450 family 3, subfamily A, polypeptide 4 (CYP3A4) substrates, CYP3A4 substrates with a narrow therapeutic index, moderate to potent inhibitors/inducers of CYP3A4; patients would be eligible if the medications can be discontinued two weeks prior to day 1 of dosing and withheld throughout the study until 2 weeks after the last dose of study medication Concomitant use of known potent cytochrome P450, family 3, subfamily A, polypeptide 4 (CYP3A4) inhibitors such as ketoconazole, itraconazole, ritonavir, indinavir, saquinavir, telithromycin, clarithromycin and nelfinavir Current use of strong CYP3A inhibitors such as ketoconazole, itraconazole, voriconazole, posaconazole, nefazodone, and clarithromycin are prohibited; NOTE: moderate inhibitors of CYP3A4 should be used with caution; navitoclax is a moderate inhibitor of CYP2C8 and a strong inhibitor of CYP2C9; caution should be exercised when dosing navitoclax concurrently with CYP2C8 and CYP2C9 substrates; common CYP2C8 substrates include paclitaxel, statins and repaglinide; CYP2C9 substrates include celecoxib, phenytoin and warfarin; when possible, investigators should switch to alternative medications or monitor the patients closely CYTOCHROME P450 3A4 (CYP3A4) substrates WITH narrow therapeutic indices: patients chronically receiving medications known to be metabolized by CYP3A4 and with narrow therapeutic indices within 7 days prior to study enrollment, including but not limited to pimozide, aripiprazole, triazolam, ergotamine and halofantrine are not eligible; Note: the use of fentanyl is permitted No use of medications, herbals, or foods that are known potent cytochrome P450, subfamily 3A, polypeptide 4 (CYP3A4) inhibitors or inducers, included but not limited to those outlined Patients on any moderate or strong cytochrome P450 family 2, subfamily C, polypeptide 9 (CYP2C9) inducer (e.g., carbamazepine, rifampin) or inhibitor (e.g., amiodarone, fluconazole) are ineligible; CYP2C9 poor metabolizers will not be excluded Patients on narrow-therapeutic drugs that are substrates for cytochrome P450 family 1, subfamily A, polypeptide 2 (CYP1A2), CYP2C9, cytochrome P450 family 2, subfamily C, polypeptide 19 (CYP2C19), and cytochrome P450 family 3, subfamily A, polypeptide 4 (CYP3A4) are ineligible (e.g., alfentanil, cyclosporine, dihydroergotamine, ergotamine, fentanyl, phenytoin, pimozide, quinidine, sirolimus, tacrolimus, theophylline, tizanidine, warfarin) Patients receiving any medications or substances that are strong inducers/inhibitors or substrates of cytochrome P450, family 3, subfamily A, polypeptide 4 (CYP3A4)/5, cytochrome P450, family 2, subfamily C, polypeptide 9 (CYP2C9), CYP2C8, or CYP2C19 are ineligible; as part of the enrollment/informed consent procedures, the patient will be counseled on the risk of interactions with other agents, and what to do if new medications need to be prescribed or if the patient is considering a new over-the-counter medicine or herbal product Inability to discontinue drugs that are strong cytochrome P450 3A4 (CYP3A4) or P450 3A5 (CYP3A5), cytochrome P450 2C19 (CYP2C19), and cytochrome P450 2C9 (CYP 2C9) inhibitors and/or inducers; and substrates of CYP 3A4/5 or CYP1A2 that are sensitive or have a narrow therapeutic window at least three weeks prior to study registration Patients currently receiving (or unable to stop use at least 1 week prior to receiving the 1st dose of AZD9291) medications or herbal supplements known to be potent inhibitors of cytochrome P450, family 2, subfamily C, polypeptide 8 (CYP2C8) and potent inhibitors or inducers of cytochrome P450, family 3, subfamily A, polypeptide 4 (CYP3A4) are ineligible; patients are eligible if they stop use of these compounds at least 1 week prior to receiving any treatment on this protocol Patients receiving any medications or substances that are strong inhibitors or inducers of cytochrome P450, family 1, subfamily A, polypeptide 2 (CYP1A2), CYP1A3, cytochrome P450, family 2, subfamily C, polypeptide 9 (CYP2C9), CYP2C19, cytochrome P450, family 3, subfamily A, polypeptide 4 (CYP3A4), UDP glycosyltransferase 1 family, polypeptide A1 (UGT1A1), P-glycoprotein, or breakpoint cluster region pseudogene (BCRP) are ineligible; as part of the enrollment/informed consent procedures, the patient will be counseled on the risk of interactions with other agents, and what to do if new medications need to be prescribed or if the patient is considering a new over-the-counter medicine or herbal product