Phase I/II: Patients must have received ? 2 units of RBCs for hemoglobin ? 9.0 g/dL within 8 weeks prior to start of treatment. Phase II only: Patients with a deletion 5q cytogenetic abnormality. ELIGIBILITY CRITERIA - PHASE II (ARM D): ECOG performance status 0-2 RANDOMIZED PHASE II CLINICAL TRIAL: Disease stage IV, metastatic unresectable disease RANDOMIZED PHASE II CLINICAL TRIAL: Patients received up to 2 prior regimens for their metastatic disease RANDOMIZED PHASE II CLINICAL TRIAL: Patients are candidates for chemotherapy with carboplatin and gemcitabine RANDOMIZED PHASE II CLINICAL TRIAL: ECOG performance status 0-2 RANDOMIZED PHASE II CLINICAL TRIAL: Within 10 days of registration: Platelets >= 100,000 / mcL RANDOMIZED PHASE II CLINICAL TRIAL: Patients with tumors that cannot be measured or clinically followed (i.e. evaluable disease) RANDOMIZED PHASE II CLINICAL TRIAL: Patients with baseline grade 2 neuropathy RANDOMIZED PHASE II CLINICAL TRIAL: Life expectancy of less than 3 months RANDOMIZED PHASE II CLINICAL TRIAL: Patients known to be carriers of hepatitis virus B and C RANDOMIZED PHASE II CLINICAL TRIAL: Active infection requiring systemic therapy PHASE II: Patients must have received at least one prior chemotherapy or radiation regimen prior to radiographic progression PHASE II: Tumor must be measurable in at least two dimensions on imaging PHASE II EXCLUSION CRITERIA: Patients who received prior anti-tumoral radionuclide therapy (with unsealed sources) are not eligible for the study PHASE II EXCLUSION CRITERIA: Untreated and uncontrolled second tumor in the past 2 years PHASE II EXCLUSION CRITERIA: Logistical or psychological hindrance to participation in clinical research Phase II only: Measurable disease according to RECIST v1.1 (Section 8) obtained by imaging within 28 days prior to study registration. Phase Ib: subjects may enroll with or without measurable disease. Phase I Extension and Phase II: Male or female patients >/= 65 years of age with previously untreated AML ineligible for receiving standard intensive therapy Phase I extension and Phase II only: Prior treatment with a hypomethylating agent, such as prior treatment for MDS. PHASE II: Patients must have received at least one prior chemotherapy or radiation regimen prior to progression PHASE II: At least 3 months must have elapsed since the last dose of irradiation to the target tumor(s) at the time of enrollment PHASE II PHASE I AND II FOR PHASE II PORTION OF THE STUDY: FOR PHASE II ONLY: PHASE II: ECOG performance status =< 2 Metastatic renal cell carcinoma\r\n* During Phase I - All prior treatments or none are allowed\r\n* During Phase II/Cohort A - No prior treatments are allowed\r\n* During Phase II/Cohort B - Must have at least one prior treatment with a PD1 inhibitor Phase II only: blood EGF level >= pg/mL at baseline (to be determined based on Phase I results) No more than two prior disease relapses to be eligible for the phase I portion of the study and no more than one prior relapse to be eligible for phase II Evaluable disease in the phase I, and measurable disease for the phase II study Central nervous system metastases, including lymphomatous meningitis will be allowed in the phase II study, but will not be allowed in the phase I PHASE II: Patients must have an ECOG performance status of 0-1 PHASE II: Hemoglobin >= 9.0 g/dl Prior chemotherapies more than 2 lines (Phase II part only) . PHASE II SCLC: ECOG performance status =< 2 Randomized phase II: tumor proportional score of PD-L1 >= 1%. PHASE II: Platelets > 100,000/mcl PHASE II: Hemoglobin > 10 g/dL PHASE II: Creatinine < 1.5 x the institutional ULN PHASE II: Bilirubin < 1.5 x ULN PHASE II: ALP < 2.5 x ULN PHASE II: Patients must meet pre-entry requirements as specified PHASE II: Patients who have previously received anti-CTLA-4 antibody therapy Phase II only: patients volunteering for the Phase II part of the protocol must be willing to undergo a research endoscopy for tissue collection on day 8 (+/- 2 days) from the beginning of therapy PHASE II: Patients may only have measurable disease Patients cannot have concurrent enrollment on other phase I, II, or III investigational treatment studies BOTH PHASE I AND PHASE II: PHASE II: Phase II: 0, 1 or 2 RANDOMIZED PHASE II (ARMS K AND L): ECOG-ACRIN performance status between 0-2 RANDOMIZED PHASE II (ARMS K AND L): ANC >= 1500/mcL (1.5 x 0^9/L), obtained within 2 weeks prior to registration RANDOMIZED PHASE II (ARMS K AND L): Platelets >= 75,000/mcL (75 x 10^9/L), obtained within 2 weeks prior to registration RANDOMIZED PHASE II (ARMS K AND L): Patient must have no current or prior history of CNS involvement RANDOMIZED PHASE II (ARMS K AND L): Patients must not be participating in any other clinical trial or taking any other experimental medications within 21 days prior to registration For Phase II only: Patients must have evidence of FLT3 ITD in their most recent assessment. For Phase I and II: ECOG Performance Status = 9 g/dL PHASE II: Platelets >= 100,000/mcL PHASE II: The patient has consented in writing to participate in one of the imaging research studies PHASE II: PHASE I AND II: PHASE II: ECOG performance status 0 or 1 PHASE II: Platelets >= 100,000/mm^3 PHASE II: Hemoglobin >= 9 g/dL Subjects enrolled in phase II part of the protocol should not have metastatic disease; however, patients with oligometastatic disease that can be treated with localized treatment with definitive intent are eligible Phase II only: at least one line of prior therapy for incurable disease At least a single measurable lesion. Phase II patients only Phase I (Cohorts A through S) and Phase II: Evaluable or measurable disease per RECIST version 1.1 For expansion phase (Phase II) distant metastatic disease only. For expansion phase (Phase II) no prior therapy for pancreatic cancer is allowed except for adjuvant therapy as long as it was completed ? 6 months prior to study treatment start Patients with RAEB-t/non-proliferative AML (as defined by 20-30% BMBL, WBC ? 25,000 x 10^9/L and stable for at least 4 weeks without intervention) are not eligible to participate in the Phase II Part 1 RPTD component of the study and patients with CMML will not be eligible for Phase II Part 2 of the study. Patients cannot have concurrent enrollment on other phase I, II, or III investigational treatment studies for the treatment of prostate cancer Only for patients entering phase Ib dose escalation and phase II cohorts: For Phase II part: PHASE II: GCSF is allowed during screening and therapy for all phase II patients PHASE II: ECOG performance status =< 1 PHASE II: Platelets >= 100,000/mcL PHASE II: Patients with evidence of metastatic disease involvement in viscera or bone PHASE II: Clinically significant malabsorption syndrome PHASE II: Patients may not have received paclitaxel, doxorubicin, or cyclophosphamide as antineoplastic therapy Evaluable disease in the Phase I, and measurable disease for the Phase II Participants who previously received eribulin mesylate are not eligible for enrollment on the phase II portion PHASE II PORTION ELIGIBILITY CRITERIA PHASE II: PHASE I and II: PHASE II PHASE I and II Patients cannot have concurrent enrollment on other phase I, II, or III investigational treatment studies For Phase Ib: patients with HER2 overexpressing disease must have been previously treated with trastuzumab (patients with HER2 overexpressing disease are not eligible for the Phase II trial) In phase II study (PMLBL) patients with CNS involvement are not eligible Non-secretory or oligo-secretory Multiple Myeloma (Phase II only; such disease is permissible in Phase I). Patients cannot have concurrent enrollment on other phase I, II, or III investigational treatment studies Concurrent tumor-specific hormonal therapy or antiestrogens. (Individuals manufactured under CL-PTL 105 (Phase II Ovarian) are not subject to this exclusion). For participation in the Phase II portion, patients must have completed at least one line of prior therapy A core tumor biopsy obtained after progression on the last treatment must be available at study entry for the phase II portion of the study; any available archival tissue (for both phase I and II) will also be collected Patients with ECOG performance status of 2, secondary to the underlying disease, may be enrolled in the Phase II portion of the study For Phase II, patients may have received a maximum of 1 prior line of therapy for recurrent or metastatic disease Patients with swallowing dysfunction who are unable to swallow BYL719 whole tablets and are not using feeding tubes for study drug administration can participate in the Phase Ib Arm B. For the Phase II, these patients with swallowing dysfunction may participate if able to drink the suspension and results of Arm B confirm the use of this method. Patients with swallowing dysfunction requiring G tube (G/PEG tube) for study drug administration may participate in Phase II if Arm C confirms dispersible tablet via G tube administration is permitted if the administration of drinkable suspension of BYL719 is allowed to be used in Phase II. For patients in the Phase II portion of the study, must have measurable disease defined by at least 1 of the following 3 measurements: PHASE II SPECIFIC: Measurable disease (only for the phase II portion) No more than one prior chemotherapy regimen for recurrent or metastatic ESCC (for Phase II only). Prior hypersensitivity to triptan derivatives (Phase I and II) PHASE II: All patients will be required to have measurable disease During Phase II enrollment: prior therapy with cisplatin with the exception of when given concurrently with radiation therapy (cisplatin will be allowed as prior therapy during Phase I enrollment) No prior treatment with temsirolimus or everolimus in the phase II component of the study. NOTE: Prior treatment with these agents is permitted in the phase I component of the study. Male or female for phase I and female for phase II and any race Prior cytotoxic chemotherapy for recurrent or metastatic breast cancer (phase II portion) PHASE II: Completed primary surgery, chemotherapy, and radiation PHASE II: Within 12 months of beginning AET PHASE II: At least 18 months of AET recommended PHASE II: Any diagnosis of cancer prior to age 21 PHASE II: Off treatment for at least 6 months PHASE II: Significant developmental delay per patient, parent, or physician report COHORT A OVERVIEW: patients age less than 60 with untreated stage III or IV classical Hodgkin lymphoma will be eligible for cohort A; in phase I, patients may enroll onto cohort A if they have a baseline IPS ? 3 OR if their PET scan after 2 cycles of ABVD is positive (Deauville 4 or 5); enrollment onto phase I has now ceased and enrollment will begin for phase II; in phase II, patients less than 60 years of age with stage III or IV HL are eligible; patients may enroll anytime within the first 2 cycles of ABVD or after PET-2 Phase II: Not completing participation in phase I of the study Phase II: Myeloma diagnosis Phase II: From 3–24 months post-surgical treatment Cancer survivors will be partnered, cohabiting women with a diagnosis of non-metastatic breast cancer (stages I-III), and a body mass index (BMI) >= 30 who are healthy enough to participate in a home-based walking program (per medical provider clearance; Phase I, part B and Phase II only) Survivors will have completed adjuvant chemotherapy and/or radiation treatment, with those participating in phase I within 5 years of completing treatment and those participating in phase II within three years (36 months) of completing treatment Partners will be cohabiting with the cancer survivor and have a BMI >= 25, be healthy enough to participate in a home-based walking program (per medical provider clearance; Phase I, part B and Phase II only) EXCLUSION CRITERIA FOR PILOT TESTING (PHASE II) PHASE II: Did not participate in phase 1 Participants must not have already made a decision to participate in the phase II or III therapeutic clinical trial for which they were informed of their eligibility Phase II: Self-identify as Hispanic/Latino Phase II: Prefer to receive health information in Spanish Phase II: Only patients who are not up-to-date with screening and are attending regularly scheduled clinic visits will participate PHASE II: Use of IT at least 25 times in the past year Completed the 1-year phase II low-fat fish oil study Phase II: PHASE II: PHASE II: Women who do not have capacity to participate PHASE II: women who state that there are still deciding on breast cancer treatment PHASE II: Pregnant women will be eligible to participate For phase II only: Patients who received more than 2 prior systemic regimens for recurrent and/or metastatic disease (no restriction in the phase Ib part of the trial).