This study is for subjects that have cancer that has spread or that cannot be cured by surgery, drugs, or any other known treatments. The main purpose of this study is to test the safety of a new experimental drug called CC-122, a Pleiotropic Pathway Modulator (PPM). Pleiotropy refers to a case where one gene may influence several other characteristics or may have multiple effects in numerous tissues. CC-122 belongs to a new class of drugs called “PPMs.” These drugs affect how the immune system works, slow the growth of tumor cells and block blood vessel growth in tumors. Approximately 100 people will take part in this study. The goal of this study is to test the highest, and/or the near-highest tolerated dose level. It may be necessary to test more than one dose level. This study will take place in the United States and in countries in Europe. This study will take about 18 to 24 months to complete. This study is only open to certain types of cancer including: (1) locally advanced (including inflammatory) breast cancer (LABC), (2) hepatocellular carcinoma (HCC), (3) certain types of brain tumor called glioblastoma multiforme (GBM), (4) multiple myeloma (MM), and (5) diffuse large B-cell lymphoma (DLBCL).