This phase II trial tests whether adding nivolumab to the usual treatment (encorafenib and cetuximab) works better than the usual treatment alone to shrink tumors in patients with colorectal cancer that has spread to other places in the body (metastatic) or that cannot be removed by surgery (unresectable) and whose tumor has a mutation in a gene called BRAF. Encorafenib is in a class of medications called kinase inhibitors. It is used in patients whose cancer has a certain mutation (change) in the BRAF gene. It works by blocking the action of mutated BRAF that signals cancer cells to multiply. This helps to stop or slow the spread of cancer cells. Cetuximab is in a class of medications called monoclonal antibodies. It binds to a protein called EGFR, which is found on some types of cancer cells. This may help keep cancer cells from growing. Immunotherapy with monoclonal antibodies, such as nivolumab, may help the body's immune system attack the cancer, and may interfere with the ability of tumor cells to grow and spread. Giving nivolumab in combination with encorafenib and cetuximab may be more effective than encorafenib and cetuximab alone at stopping tumor growth and spreading in patients with metastatic or unresectable BRAF-mutant colorectal cancer.

This phase II trial investigates evolutionary inspired therapy in treating fusion positive rhabdomyosarcoma that is newly diagnosed and has spread to other places in the body (metastatic). Chemotherapy drugs, such as vinorelbine, vincristine sulfate, and actinomycin D, work in different ways to stop the growth of tumor cells, either by killing the cells, by stopping them from dividing, or by stopping them from spreading. Cyclophosphamide is used to decrease the body's immune response and may inhibit DNA replication and initiate cell death. This study is being done to determine which of 4 different therapeutic treatments will have the best chance of the disease not worsening or coming back.

This phase II trial studies how well atezolizumab or atezolizumab plus bevacizumab works in treating patients with alveolar soft part sarcoma that has not been treated, has spread from where it started to other places in the body (advanced) and cannot be removed by surgery (unresectable). Atezolizumab works by unblocking the immune system, allowing the immune system cells to recognize and then attack tumor cells. Bevacizumab works by controlling the growth of new blood vessels. Giving atezolizumab alone or atezolizumab with bevacizumab may shrink the cancer.

This phase II trial studies the effect of hormonal therapy given after (adjuvant) combination pertuzumab/trastuzumab in treating patients with hormone receptor positive, HER2 positive breast cancer. The drugs trastuzumab and pertuzumab are both monoclonal antibodies, which are disease-fighting proteins made by cloned immune cells. Estrogen can cause the growth of breast cancer cells. Hormonal therapy, such as letrozole, anastrozole, exemestane, and tamoxifen, block the use of estrogen by the tumor cells. Giving hormonal therapy after pertuzumab and trastuzumab may kill any remaining tumor cells in patients with breast cancer.

This phase II trial compares the effect of usual treatment approach alone (FOLFOX or CAPOX after chemoradiation) with using FOLFIRINOX after chemoradiation in patients with stage II-III rectal cancer. Combination chemotherapy regiments, such as FOLFIRINOX [folinic acid (leucovorin), fluorouracil, irinotecan, and oxaliplatin], FOLFOX (leucovorin, fluorouracil, and oxaliplatin), or CAPOX (capecitabin and oxaliplatin) use more than one anticancer drug that work in different ways to stop the growth of tumor cells, either by killing the cells, by stopping them from dividing, or by stopping them from spreading. FOLFOX or CAPOX are used after chemoradiation as usual treatment for rectal cancer. Giving FOLFIRINOX after chemoradiation may increase the response rate for the primary rectal tumor and lead to higher rates of clinical complete response (and thus a chance to avoid surgery) compared to FOLFOX or CAPOX after chemoradiation in patients with locally advanced rectal cancer.

This phase II trial studies how well lower-dose chemotherapy plus radiation (chemoradiation) therapy works in comparison to standard-dose chemoradiation in treating patients with early-stage anal cancer. Drugs used in chemotherapy, such as mitomycin, fluorouracil, and capecitabine, work in different ways to stop the growth of tumor cells, either by killing the cells, by stopping them from dividing, or by stopping them from spreading. Radiation therapy uses high-energy x-rays to kill tumor cells and shrink tumors. Giving chemotherapy with radiation therapy may kill more tumor cells. This study may help doctors find out if lower-dose chemoradiation is as effective and has fewer side effects than standard-dose chemoradiation, which is the usual approach for treatment of this cancer type.

This phase II trial compares the effect of usual treatment of docetaxel chemotherapy plus trastuzumab, to ado-emtansine (T-DM1) in patients with HER2-positive salivary gland cancer that has come back (recurrent), that has spread from where it first started (primary site) to other places in the body, or cannot be removed by surgery (unresectable). Trastuzumab is a form of targeted therapy because it works by attaching itself to specific molecules (receptors) on the surface of cancer cells, known as HER2 receptors. When trastuzumab attaches to HER2 receptors, the signals that tell the cells to grow are blocked and the cancer cell may be marked for destruction by body's immune system. Trastuzumab emtansine contains trastuzumab, linked to a chemotherapy drug called emtansine. Trastuzumab attaches to HER2 positive cancer cells in a targeted way and delivers emtansine to kill them. Docetaxel is in a class of medications called taxanes. It stops cancer cells from growing and dividing and may kill them. Trastuzumab emtansine may work better compared to usual treatment of chemotherapy with docetaxel and trastuzumab in treating patients with recurrent, metastatic or unresectable salivary gland cancer.

This phase II Pediatric MATCH trial studies how well ensartinib works in treating patients with solid tumors, non-Hodgkin lymphoma, or histiocytic disorders with ALK or ROS1 genomic alterations that have come back (recurrent) or does not respond to treatment (refractory) and may have spread from where it first started to nearby tissue, lymph nodes, or distant parts of the body (advanced). Ensartinib may stop the growth of tumor cells by blocking some of the enzymes needed for cell growth.

This phase II trial studies how well combination chemotherapy works in treating patients with newly diagnosed stage II-IV diffuse anaplastic Wilms tumors (DAWT) or favorable histology Wilms tumors (FHWT) that have come back (relapsed). Drugs used in chemotherapy regimens such as UH-3 (vincristine, doxorubicin, cyclophosphamide, carboplatin, etoposide, and irinotecan) and ICE/Cyclo/Topo (ifosfamide, carboplatin, etoposide, cyclophosphamide, and topotecan) work in different ways to stop the growth of tumor cells, either by killing the cells, by stopping them from dividing, or by stopping them from spreading. This trial may help doctors find out what effects, good and/or bad, regimen UH-3 has on patients with newly diagnosed DAWT and standard risk relapsed FHWT (those treated with only 2 drugs for the initial WT) and regimen ICE/Cyclo/Topo has on patients with high and very high risk relapsed FHWT (those treated with 3 or more drugs for the initial WT).

This phase II trial studies the best approach to combine chemotherapy and radiation therapy (RT) based on the patients response to induction chemotherapy in patients with non-germinomatous germ cell tumors (NGGCT) that have not spread to other parts of the brain or body (localized). This study has 2 goals: 1) optimizing radiation for patients who respond well to induction chemotherapy to diminish spinal cord relapses, 2) utilizing higher dose chemotherapy followed by conventional RT in patients who did not respond to induction chemotherapy. Chemotherapy drugs, such as carboplatin, etoposide, ifosfamide, and thiotepa, work in different ways to stop the growth of tumor cells, either by killing the cells, by stopping them from dividing, or by stopping them from spreading. Radiation therapy uses high energy x-rays or high-energy protons to kill tumor cells and shrink tumors. Studies have shown that patients with newly-diagnosed localized NGGCT, whose disease responds well to chemotherapy before receiving radiation therapy, are more likely to be free of the disease for a longer time than are patients for whom the chemotherapy does not efficiently eliminate or reduce the size of the tumor. The purpose of this study is to see how well the tumors respond to induction chemotherapy to decide what treatment to give next. Some patients will be given RT to the spine and a portion of the brain. Others will be given high dose chemotherapy and a stem cell transplant before RT to the whole brain and spine. Giving treatment based on the response to induction chemotherapy may lower the side effects of radiation in some patients and adjust the therapy to a more efficient one for other patients with localized NGGCT.