This phase II / III trial tests whether it is possible to decrease the chance of high-grade B-cell lymphomas returning or getting worse by adding a new drug, venetoclax to the usual combination of drugs used for treatment. Venetoclax may stop the growth of cancer cells by blocking a protein called Bcl-2. Drugs used in usual chemotherapy, such as rituximab, cyclophosphamide, doxorubicin, vincristine, prednisone, and etoposide, 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 venetoclax together with usual chemotherapy may work better than usual chemotherapy alone in treating patients with high-grade B-cell lymphomas, and may increase the chance of cancer going into remission and not returning.

This phase II trial studies the effect of duvelisib or CC-486 and usual chemotherapy consisting of cyclophosphamide, doxorubicin, vincristine, etoposide, and prednisone in treating patients with peripheral T-cell lymphoma. Duvelisib may stop the growth of cancer cells by blocking some of the enzymes needed for cell growth. Chemotherapy drugs, such as CC-486, cyclophosphamide, doxorubicin, vincristine, etoposide and prednisone, 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. This trial may help find out if this approach is better or worse than the usual approach for treating peripheral T-cell lymphoma.

This randomized phase II trial studies how well obinutuzumab with or without PI3K-delta inhibitor TGR-1202, lenalidomide, or combination chemotherapy work in treating patients with grade I-IIIa follicular lymphoma that has come back or does not respond to treatment. Monoclonal antibodies, such as obinutuzumab, may interfere with the ability of cancer cells to grow and spread. PI3K-delta inhibitor TGR-1202 may stop the growth of cancer cells by blocking some of the enzymes needed for cell growth. Biological therapies, such as lenalidomide, use substances made from living organisms that may stimulate or suppress the immune system in different ways and stop cancer cells from growing. Drugs used in chemotherapy, such as cyclophosphamide, doxorubicin hydrochloride, vincristine sulfate, and prednisone, 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. It is not yet known whether giving obinutuzumab with or without PI3K-delta inhibitor TGR-1202, lenalidomide, or combination chemotherapy will work better in treating patients with grade I-IIIa follicular lymphoma.

This phase II/III trial compares the side effects and activity of oral azacitidine in combination with the standard drug therapy (reduced dose rituximab-cyclophosphamide, doxorubicin, vincristine, and prednisone [R-miniCHOP]) versus R-miniCHOP alone in treating patients 75 years or older with newly diagnosed diffuse large B cell lymphoma. R-miniCHOP includes a monoclonal antibody (a type of protein), called rituximab, which attaches to the lymphoma cells and may help the immune system kill these cells. R-miniCHOP also includes prednisone which is an anti-inflammatory medication and a combination of 3 chemotherapy drugs, cyclophosphamide, doxorubicin, and vincristine. These 3 chemotherapy drugs, as well as oral azacitidine, 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. Combining oral azacitidine with R-miniCHOP may shrink the cancer or extend the time without disease symptoms coming back or extend patient's survival when compared to R-miniCHOP alone.