 This phase I trial studies the side effects and best dose of pevonedistat when giving together with irinotecan hydrochloride and temozolomide in treating patients with solid tumors or lymphoma that have come back after a period of improvement or that do not respond to treatment. Pevonedistat and irinotecan hydrochloride may stop the growth of cancer cells by blocking some of the enzymes needed for cell growth. Drugs used in chemotherapy, such as temozolomide, work in different ways to stop the growth of cancer cells, either by killing the cells, by stopping them from dividing, or by stopping them from spreading. Giving pevonedistat, irinotecan hydrochloride, and temozolomide may work better in treating patients with solid tumors or lymphoma. 