The goal of this clinical trial is to determine if FOG-001 is safe and effective in participants with locally advanced or metastatic solid tumors or in participants with familial adenomatous polyposis (FAP).

This phase III trial compares the effect of cabozantinib versus combination dabrafenib and trametinib for the treatment of patients with differentiated thyroid cancer that does not respond to treatment (refractory) and which expresses a BRAF V600E mutation. Cabozantinib is in a class of medications called receptor tyrosine kinase inhibitors. It binds to and blocks the action of several enzymes which are often over-expressed in a variety of tumor cell types. This may help stop or slow the growth of tumor cells and blood vessels the tumor needs to survive. Dabrafenib is an enzyme inhibitor that binds to and inhibits the activity of a protein called B-raf, which may inhibit the proliferation of tumor cells which contain a mutated BRAF gene. Trametinib is also an enzyme inhibitor. It binds to and inhibits the activity of proteins called MEK 1 and 2, which play a key role in activating pathways that regulate cell growth. This may inhibit the growth of tumor cells mediated by these pathways. The usual approach for patients with thyroid cancer is targeted therapy with dabrafenib and trametinib. This trial may help researchers decide which treatment option (cabozantinib alone or dabrafenib in combination with trametinib) is safer and/or more effective in treating patients with refractory BRAF V600E-mutated differentiated thyroid cancer.

High blood pressure (hypertension) is a known side effect of the treatment with fruquintinib. Current research does not provide a clear answer whether minority groups such as Black/African American and/or Hispanic/Latino with refractory metastatic colorectal cancer (mCRC) have a bigger risk of higher blood pressure after treatment with fruquintinib. The main aim of this study is to learn how often adults of a minority group experience hypertension after they have been treated with fruquintinib for refractory mCRC. Other aims are to learn how safe fruquintinib is and how well it is tolerated by participants.

Participants will receive fruquintinib in 4-week treatment cycles until their condition worsens, they do no longer tolerate the treatment or stop the treatment for other reasons. After the last treatment, participants will be checked upon every 3 months until study completion.

This phase I trial tests the safety and effectiveness of indium In 111 panitumumab (111In-panitumumab) for identifying the first lymph nodes to which cancer has spread from the primary tumor (sentinel lymph nodes) in patients with head and neck squamous cell carcinoma (HNSCC) undergoing surgery. The most important factor for survival for many cancer types is the presence of cancer that has spread to the lymph nodes (metastasis). Lymph node metastases in patients with head and neck cancer reduce the 5-year survival by half. Sometimes, the disease is too small to be found on clinical and imaging exams before surgery. 111In-panitumumab is in a class of medications called radioimmunoconjugates. It is composed of a radioactive substance (indium In 111) linked to a monoclonal antibody (panitumumab). Panitumumab binds to EGFR receptors, a receptor that is over-expressed on the surface of many tumor cells and plays a role in tumor cell growth. Once 111In-panitumumab binds to tumor cells, it is able to be seen using an imaging technique called single photon emission computed tomography/computed tomography (SPECT/CT). SPECT/CT can be used to make detailed pictures of the inside of the body and to visualize areas where the radioactive drug has been taken up by the cells. Using 111In-panitumumab with SPECT/CT imaging may improve identification of sentinel lymph nodes in patients with head and neck squamous cell cancer undergoing surgery.

This phase II trial tests how well canakinumab works to prevent progression to cancer in patients with clonal cytopenias of unknown significance (CCUS). CCUS is a blood condition defined by a decrease in blood cells. Blood cells are composed of either red blood cells, white blood cells, or platelets. In patients with CCUS, blood counts have been low for a long period of time. Patients with CCUS also have a mutation in one of the genes that are responsible for helping blood cells develop. The combination of genetic mutations and low blood cell counts puts patients with CCUS at a higher risk to develop blood cancers in the future. This transformation from low blood cell counts to cancer may be caused by inflammation in the body. Canakinumab is a monoclonal antibody that may block inflammation in the body by targeting a specific antibody called the anti-human interleukin-1beta (IL-1beta).

Researchers are looking for new ways to treat types of breast cancer that are both:

* High-risk, which means the cancer may have a higher chance of getting worse or coming back after treatment
* Early-stage, which means the cancer is in the breast or the lymph nodes around the breast The 2 types of breast cancer in this study are triple-negative breast cancer (TNBC) and hormone receptor (HR)-low positive/human epidermal growth factor receptor-2 (HER2) negative breast cancer. These cancers have zero or a low amount of a protein called HER2 and other proteins that attach to the hormones estrogen or progesterone.

Sacituzumab tirumotecan (also known as sac-TMT or MK-2870), the study medicine, is a type of targeted therapy. A targeted therapy is a treatment that works to control how specific types of cancer cells grow and spread.

The main goals of this study are to learn if people who receive sac-TMT, pembrolizumab, and chemotherapy:

* Have fewer cancer cells found in the tumors and lymph nodes removed during surgery compared to those who receive only pembrolizumab and chemotherapy
* Live longer without the cancer growing, spreading, or coming back compared to people who receive only pembrolizumab with chemotherapy

The goal of this study is to test autologous logic-gated Tmod CAR T-cell products in subjects with solid tumors including colorectal cancer (CRC), pancreatic cancer (PANC), non-small cell lung cancer (NSCLC), ovarian cancer (OVCA), mesothelioma (MESO), and other solid tumors that express mesothelin (MSLN) and have lost HLA-A\*02 expression.

The main questions this study aims to answer are:

Phase 1: What is the recommended dose that is safe for patients

Phase 2: Does the recommended dose kill solid tumor cells and protect the patient's healthy cells

Participants will be required to perform study procedures and assessments, and will also receive the following study treatments:

Enrollment and Apheresis in BASECAMP-1 (NCT04981119)

Preconditioning Lymphodepletion (PCLD) Regimen

Tmod CAR T cells at the assigned dose

Researchers are looking for new ways to treat metastatic castration-resistant prostate cancer (mCRPC). Researchers have designed a study medicine called ifinatamab deruxtecan (also called I-DXd or MK-2400) to treat mCRPC. The goal of this study is to learn if people who receive I-DXd live longer overall and live longer without the cancer growing or spreading than people who receive chemotherapy.

Substudy 03C is part of a larger research study that is testing experimental treatments for renal cell carcinoma (RCC). The larger study is the umbrella study (U03).

The goal of substudy 03C is to evaluate the safety and efficacy of experimental combinations of investigational agents in participants with clear cell renal cell carcinoma (ccRCC) who have recurrent disease during or after anti-programmed cell death 1/programmed cell death ligand 1 (PD-\[L\]1) adjuvant therapy.

This substudy will have two phases: a safety lead-in phase and an efficacy phase. The safety lead-in phase will be used to demonstrate a tolerable safety profile for the combination of investigational agents. There will be no hypothesis testing in this study

The purpose of this study is to demonstrate the efficacy of implementing the enhanced recovery after surgery (ERAS) pathway in a prospective manner to patients undergoing surgical treatment for extremity sarcoma.