Fasting triglycerides =< 300 mg/dL Within less than or equal to 14 days prior to registration: Fasting triglycerides =< 300 mg/dL Fasting triglycerides =< 300 mg/dL Uncontrolled hypertriglyceridemia (triglycerides > 450 mg/dL) Triglycerides < 250 mg/dL Uncontrolled hypertriglyceridemia (triglycerides > 450 mg/dL); if a patient is excluded solely based upon a non-fasting triglyceride level, a fasting test should be performed to determine eligibility Metabolic status: HbA1c < 7.0%, fasting serum glucose ? 130 mg/dL, and fasting triglycerides ? 300 mg/dL. Fasting triglycerides =< 1.5 x upper limit of normal (ULN) Fasting triglycerides =< 300 mg/dL Fasting triglycerides =< 300 mg/dL. Uncontrolled hypertriglyceridemia (triglycerides > 450 mg/dL). Uncontrolled hypertriglyceridemia (triglycerides > 450mg/dL). Only for subjects enrolled in Arm 1 - Neratinib and everolimus: fasting lipid profile: cholesterol less than or equal to 350 mg/dL and triglycerides less than or equal to 400 mg/dL. Fasting serum glucose < 130 milligram per deciliter (mg/dL) and fasting triglycerides <= 300 mg/dL. Fasting triglycerides =< 300 mg/dL Fasting triglycerides =< 300 mg/dL Fasting triglycerides =< 300 mg/dL Metabolic: fasting triglycerides =< 300 mg/dL Fasting triglycerides =< 300 mg/dL Fasting triglycerides =< 300 mg/dL Have uncontrolled hypertriglyceridemia (triglycerides > 450 mg/dL) Serum triglycerides < 300mg/dL fasting or on a random plasma test Fasting triglycerides =< 300 mg/dL Uncontrolled hypertriglyceridemia (triglycerides > 450 mg/dL) Fasting cholesterol less than or equal to 300 mg/dl; fasting triglycerides less than or equal to 300 mg/dl Metabolic: fasting serum glucose (=< 130 mg/dL) and fasting triglycerides =< 300 mg/dL Baseline cholesterol must be < 350 mg/dL and triglycerides < 300 mg/dL (with or without the use of antihyperlipidemic medications) Uncontrolled hyperlipidemia (total cholesterol > 350 or triglycerides > 300) Fasting triglycerides =< 300 mg/dL or =< 1.71 mmol/L Patients must not have uncontrolled hyperlipidemia (fasting serum cholesterol > 300 mg/dL AND fasting triglycerides > 2.5 x ULN) obtained within 28 days prior to registration; optimal lipid control must be achieved before registration and monitored during protocol treatment Fasting triglycerides =< 5 x time the upper limit of normal; patients above this level may be eligible with permission of the study chair; triglycerides may be \normalized\ prior to study entry with use of an antilipemic agent (atorvastatin, fenofibrate) Screening fasting lipid panel: LDL cholesterol < 190 mg/dL, triglycerides < 300 mg/dL Glycosylated hemoglobin (HbA1c) less than (<) 7.0%, fasting serum glucose <=130 milligram per deciliter (mg/dL), and fasting triglycerides <=300 mg/dL. Fasting triglycerides less than or equal to 300 mg/ Fasting triglycerides =< 300 mg/dL Triglycerides level =< 400 mg/dl; fasting is not required before testing, but if elevated without fasting, repetition with fasting can be performed to determine eligibility Fasting serum cholesterol less than or equal to 300 mg/dL OR less than or equal to 7.75 mmol/L AND fasting triglycerides less than or equal to 2.5 x ULN Normal fasting cholesterol and triglycerides PART B: Uncontrolled hypertriglyceridemia (triglycerides > 450 mg/dL) Fasting serum cholesterol =< 300 mg/dl OR =< 7.75 mmol/l AND fasting triglycerides =< 2.5 times ULN* Cholesterol > 300 mg/dl or triglycerides > 400 mg/dl despite treatment Known uncontrolled hyperlipidemia defined as LDL-C >= 190 mg/dL or triglycerides >= 500 mg/dL Triglycerides =< 400 mg/dL (sirolimus and hydroxychloroquine only) Have uncontrolled hypertriglyceridemia (triglycerides >450 mg/dL) Fasting triglycerides =< 2.5 x ULN Uncontrolled (? Grade 2) hypertriglyceridemia (fasting triglycerides > 300 mg/dL (3.42 mmol/L)) fasting serum cholesterol ?300 mg/dL OR ?7.75 mmol/L AND fasting triglycerides ?2.5 x ULN. Fasting triglycerides =< 300 mg/dl Elevated triglycerides Elevated triglycerides Fasting triglycerides =< 300 mg/dL Obtained =< 30 days prior to registration: Triglycerides < 500 mg/dL Fasting triglycerides =< 300 mg/dL (3.42 mmol/L) Triglycerides =< 150 mg/dl Triglycerides (fasting) >= 400 Fasting triglycerides =< 1.5 x upper limit of normal (ULN) Have plasma triglycerides < 200 mg/dL Have plasma total cholesterol > 200 mg/dL or plasma triglycerides > 200 mg/dL Fasting triglycerides > 300 mg/dL Fasting serum glucose ?130 mg/dL and fasting triglycerides ?300 mg/dL.