This randomized phase III trial studies how well imatinib mesylate works in combination with two different chemotherapy regimens in treating patients with newly diagnosed Philadelphia chromosome positive acute lymphoblastic leukemia (ALL). Imatinib mesylate has been shown to improve outcomes in children and adolescents with Philadelphia chromosome positive (Ph+) ALL when given with strong chemotherapy, but the combination has many side effects. This trial is testing whether a different chemotherapy regimen may work as well as the stronger one but have fewer side effects when given with imatinib. The trial is also testing how well the combination of chemotherapy and imatinib works in another group of patients with a type of ALL that is similar to Ph+ ALL. This type of ALL is called ABL-class fusion positive ALL", and because it is similar to Ph+ ALL, is thought it will respond well to the combination of agents used to treat Ph+ ALL.

This phase III trial studies rituximab after stem cell transplant and to see how well it works compared with rituximab alone in treating patients with in minimal residual disease-negative mantle cell lymphoma in first complete remission. Immunotherapy with rituximab, may induce changes in bodys immune system and may interfere with the ability of tumor cells to grow and spread. Giving chemotherapy before a stem cell transplant helps kill any cancer cells that are in the body and helps make room in the patients bone marrow for new blood-forming cells (stem cells) to grow. After treatment, stem cells are collected from the patient's blood and stored. More chemotherapy is then given to prepare the bone marrow for the stem cell transplant. The stem cells are then returned to the patient to replace the blood-forming cells that were destroyed by the chemotherapy. Giving rituximab with or without stem cell transplant may work better in treating patients with mantle cell lymphoma.

This phase III trial compare the effects of adding definitive treatment (either radiation therapy or prostate removal surgery) to standard systemic therapy in treating patients with prostate cancer that has spread to other places in the body (advanced). Removing the prostate by either surgery or radiation therapy in addition to standard systemic therapy for prostate cancer may lower the chance of the cancer growing or spreading.

This phase II trial studies how well ruxolitinib before surgery works in preventing breast cancer in patients with high risk and precancerous breast conditions. Ruxolitinib may changes the breast cell when administered to participants with precancerous breast conditions. Ruxolitinib may stop the growth of cells by blocking some of the enzymes needed for cell growth.

This phase III trial studies how well chemotherapy and radiation therapy work with or without atezolizumab in treating patients with localized muscle invasive bladder cancer. Radiation therapy uses high energy rays to kill tumor cells and shrink tumors. Chemotherapy drugs, such as gemcitabine, cisplatin, fluorouracil and mitomycin-C, 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 chemotherapy with radiation therapy may kill more tumor cells. Immunotherapy with monoclonal antibodies, such as atezolizumab, may help the body's immune system attack the cancer, and may interfere with the ability of tumor cells to grow and spread. Giving atezolizumab with radiation therapy and chemotherapy may work better in treating patients with localized muscle invasive bladder cancer compared to radiation therapy and chemotherapy without atezolizumab.

This phase III trial studies whether inotuzumab ozogamicin added to post-induction chemotherapy for patients with High-Risk B-cell Acute Lymphoblastic Leukemia (B-ALL) improves outcomes. This trial also studies the outcomes of patients with mixed phenotype acute leukemia (MPAL), and B-lymphoblastic lymphoma (B-LLy) when treated with ALL therapy without inotuzumab ozogamicin. Inotuzumab ozogamicin is a monoclonal antibody, called inotuzumab, linked to a type of chemotherapy called calicheamicin. Inotuzumab attaches to cancer cells in a targeted way and delivers calicheamicin to kill them. Other drugs used in the chemotherapy regimen, such as cyclophosphamide, cytarabine, dexamethasone, doxorubicin, daunorubicin, methotrexate, leucovorin, mercaptopurine, prednisone, thioguanine, vincristine, and pegaspargase or calaspargase pegol 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 will also study the outcomes of patients with mixed phenotype acute leukemia (MPAL) and disseminated B lymphoblastic lymphoma (B-LLy) when treated with high-risk ALL chemotherapy.

The overall goal of this study is to understand if adding inotuzumab ozogamicin to standard of care chemotherapy maintains or improves outcomes in High Risk B-cell Acute Lymphoblastic Leukemia (HR B-ALL). The first part of the study includes the first two phases of therapy: Induction and Consolidation. This part will collect information on the leukemia, as well as the effects of the initial treatment, in order to classify patients into post-consolidation treatment groups. On the second part of this study, patients will receive the remainder of the chemotherapy cycles (interim maintenance I, delayed intensification, interim maintenance II, maintenance), with some patients randomized to receive inotuzumab. Other aims of this study include investigating whether treating both males and females with the same duration of chemotherapy maintains outcomes for males who have previously been treated for an additional year compared to girls, as well as to evaluate the best ways to help patients adhere to oral chemotherapy regimens. Finally, this study will be the first to track the outcomes of subjects with disseminated B-cell Lymphoblastic Leukemia (B-LLy) or Mixed Phenotype Acute Leukemia (MPAL) when treated with B-ALL chemotherapy.