Question: Which university - University of Cincinnati or University of Washington - is a large, public flagship research university established 1861?
Context: The University of Wisconsin–Madison (also known as University of Wisconsin, Wisconsin, UW, or regionally as UW–Madison, or simply Madison) is a public research university in Madison, Wisconsin, United States.  Founded when Wisconsin achieved statehood in 1848, UW–Madison is the official state university of Wisconsin, and the flagship campus of the University of Wisconsin System.  It was the first public university established in Wisconsin and remains the oldest and largest public university in the state.  It became a land-grant institution in 1866.  The 933 acre main campus includes four National Historic Landmarks. The Peking University Shenzhen Graduate School (PKU Shenzhen) is a public research university established as a satellite graduate school of Peking University in 2001 via a joint venture with the Shenzhen Municipal Government.  It is situated inside the University Town of Shenzhen, along with the graduate schools of Tsinghua University and the Harbin Institute of Technology.  The present chancellor of Peking University Shenzhen Graduate School is Dr. Wu Yundong. Auburn University (AU or Auburn) is a public research university in Auburn, Alabama, United States.  With more than 22,000 undergraduate students and a total enrollment of more than 28,000 with 1,260 faculty members, Auburn is the second largest university in Alabama.  Auburn University is one of the state's two public flagship universities. The University of Washington (commonly referred to as UW, simply Washington, or informally "U-Dub") is a large, public flagship research university in Seattle, Washington, established in 1861. The University of Cincinnati (commonly referred to as UC or Cincinnati) is a comprehensive public research university in Cincinnati, in the U.S. state of Ohio, and a part of the University System of Ohio. The University of New Mexico (also referred to as UNM) is a public research university in Albuquerque, New Mexico.  It is New Mexico's flagship research institution, the largest post-secondary institution in the state in total enrollment across all campuses as of 2012, and one of the state's largest employers. Iowa State University of Science and Technology, generally referred to as Iowa State, is a public flagship land-grant and space-grant research university located in Ames, Iowa, United States.  It is the largest university in the state of Iowa and the 3rd largest university in the Big 12 athletic conference.  Iowa State is classified as a Research University with very high research activity (RU/VH) by the Carnegie Foundation for the Advancement of Teaching.  Iowa State is also a member of the Association of American Universities (AAU), which consists of 62 leading research universities in North America.  Iowa State has also been designated an "Innovation and Economic Prosperity University," a designation awarded to only 54 public universities in the U.S. The University of Oregon (also referred to as UO, U of O or Oregon) is a public flagship research university in Eugene, Oregon.  Founded in 1876, the institution's 295-acre campus is situated along the Willamette River.  Since July 2014, UO has been governed by the Board of Trustees of the University of Oregon.  The university has a Carnegie Classification of "highest research activity" and has 19 research centers and institutes.  UO was admitted to the Association of American Universities in 1969. Suez University is an Egyptian public university established by the presidential decree no 193 in 2012 to transfer Suez Canal University branch in Suez to an independent university.  Suez University is the first university established by a presidential decree after the January 25 revolution in Egypt. Khon Kaen University (Thai: มหาวิทยาลัยขอนแก่น ) or KKU (มข.)  is a public research university in Thailand.  It was the first university established in northeastern Thailand and remains the oldest and largest university in the region.  The university is a hub of education in northeast Thailand.  It is widely recognized university in Asia.  KKU offers a wide range of programs: its comprehensive academic program offers 105 undergraduate majors, along with 129 master's degree programs, and 59 doctoral programs.  Khon Kaen University was ranked 21st in Southeast Asia by "Time Higher Education" in 2009, and 4th in Thailand by The Office of Higher Education Commission .
Answer: The University of Washington