Testing a New Anti-cancer Drug Combination, Entinostat and GSK525762C, for Advanced and Refractory Solid Tumors and Lymphomas

PRIMARY OBJECTIVES: I. To determine the maximum tolerated dose (MTD) of GSK525762C and entinostat in combination in patients with advanced and refractory solid tumors and lymphomas based on dose limiting toxicities (DLTs) of the combination of GSK525762C and entinostat. SECONDARY OBJECTIVES: I. To describe the safety profile of GSK525762C and entinostat in advanced and refractory solid tumors and lymphomas. II. To determine the overall response rate (ORR) of GSK525762C and entinostat in advanced and refractory solid tumors and lymphomas. III. To determine the progression-free survival (PFS), duration of response (DOR), and overall survival (OS) of GSK525762C and entinostat in this patient population. EXPLORATORY OBJECTIVES: I. To assess the effect of GSK525762C and entinostat therapy on apoptosis, as measured by an apoptosis multiplex immunoassay. II. To assess the effect of GSK525762C and entinostat therapy on c-MYC and YAP1 as measured by ribonucleic acid (RNA) and protein expression. III. To assess the effect of GSK525762C and entinostat therapy on tumor burden and gene expression patterns as measured by whole exome sequencing (WES) and RNA sequencing (RNASeq) on circulating tumor deoxyribonucleic acid (DNA) (ctDNA) specimens. OUTLINE: This is a dose-escalation study. Patients receive entinostat orally (PO) on days 1, 8, 15, and 22, and molibresib PO once daily (QD) on days 1-28. Cycles repeat every 28 days in the absence of disease progression or unacceptable toxicity. After completion of study treatment, patients are followed up for 4 weeks.