Question: What  is a large, public flagship research university in Seattle, Washington, established in 1861,  University of Florida or University of Washington?

Context paragraphs:
Chuo University: Chuo University (中央大学 , Chūō Daigaku ) , commonly referred to as Chuo (中央 ) or Chu-Dai (中大 ) , is a private flagship research university in Tokyo, Japan.  Founded in 1885 as Igirisu Horitsu Gakko (the English Law School), Chuo is one of the oldest and most prestigious institutions in the country.

RMIT Global Cities Research Institute: The RMIT Global Cities Research Institute was a major research institute of RMIT University.  It was formed in 2006 as one of the four flagship research bodies at the university crossing all the disciplines from the humanities and social sciences to applied science and engineering.  It has 200 staff, affiliated with seven programs.

University of Arkansas: The University of Arkansas (often shortened to U of A, UARK, or just UA) is a public, co-educational, land-grant, space-grant, research university in Fayetteville, in the U.S. state of Arkansas.  It is the flagship campus of the University of Arkansas System which comprises six main campuses within the state – the University of Arkansas at Little Rock, the University of Arkansas at Monticello, the University of Arkansas at Pine Bluff, the University of Arkansas at Fort Smith, and the University of Arkansas for Medical Sciences.  More than 26,000 students are enrolled in over 188 undergraduate, graduate, and professional programs.  It is classified by the Carnegie Foundation as a research university with highest research activity.  Founded as Arkansas Industrial University in 1871, its present name was adopted in 1899 and classes were first held on January 22, 1872.  It is noted for its strong architecture, agriculture (particularly animal science and poultry science), business, communication disorders, creative writing, history, law, and Middle Eastern studies programs. <ref name="dailyheadlines.uark.edu/5292.htm"> </ref>

Iowa State University: 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.

University of New Mexico: 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.

University of Washington: 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.

Auburn University: 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.

Florida International University: Florida International University (FIU) is an American metropolitan public research university in Greater Miami, Florida, United States.  FIU has two major campuses in Miami-Dade County, with its main campus in University Park.  Florida International University is classified as a research university with highest research activity by the Carnegie Foundation and a research university by the Florida Legislature.

University of Oregon: 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.

University of Florida: The University of Florida (commonly referred to as Florida or UF) is an American public land-grant, sea-grant, and space-grant research university on a 2000 acre campus in Gainesville, Florida.  It is a senior member of the State University System of Florida and traces its origins to 1853, and has operated continuously on its Gainesville campus since September 1906.

Supporting paragraphs: University of Florida University of Washington
Answer: The University of Washington