Question: The 1905-1904 college basketball team lead by G.W. Leach represented a university founded in what year?

Context paragraphs:
1904 Cornell Big Red football team: The 1904 Cornell Big Red football team was an American football team that represented Cornell University during the 1904 college football season.  In their third, non-consecutive season under head coach Glenn Scobey Warner, the Big Red compiled a 7–3 record and outscored all opponents by a combined total of 226 to 92.  No Cornell players received honors on the 1904 College Football All-America Team.

1904 North Carolina Tar Heels football team: The 1904 North Carolina Tar Heels football team represented the University of North Carolina at Chapel Hill in the 1904 college football season.  The team captain for the 1904 season was R. S. Stewart.

1905–06 Bucknell Bison men's basketball team: The 1905–06 Bucknell Bison men's basketball team represented Bucknell University during the 1905–06 NCAA men's basketball season.  The Bison's team captain of the 1905–06 season was G.W. Leach.

1904 Baylor football team: The 1904 Baylor football team represented Baylor University during the 1904 college football season.  1904 was the first year in which Baylor's first six football games were at home.

Magnus Mainland: Magnus Mainland (1878 – September 4, 1959) was a college football lineman and college basketball player and founding coach for The University of Texas at Austin.  Mainland was a native of Scotland.  Mainland was a nationally known basketball player as an undergraduate student at Wheaton College (Illinois).  His Wheaton team was able to compete in the college basketball competition in the 1904 Summer Olympics in St. Louis, the first Olympic Games featuring the young sport (although only as a demonstration sport).  Wheaton placed second out of the three competing college basketball teams.  Following his graduation from Wheaton, Mainland enrolled in engineering courses at The University of Texas.  While a student there, he was able to convince University officials to permit him to organize, coach, and play on the University's first varsity basketball team.  The Longhorns took the court for the first time on March 10, 1906, defeating the Baylor Bears 27–17 at outdoor Clark Field.  Texas won seven of the eight games scheduled in its inaugural season.  Mainland's second and final season as head coach resulted in a 4–4 overall record.  Due to inadequate funding, the University Athletics Council canceled the basketball program after two seasons, leaving Texas without a basketball team for 1908.  The program was reinstated in 1909 under the direction of UT German studies faculty member and previous Longhorn football head coach (1907–08) W. E. Metzenthin, who had supported students in their efforts to have the program revived.

1904 Connecticut Aggies football team: The 1904 Connecticut Aggies football team represented Connecticut Agricultural College, now the University of Connecticut, in the 1904 college football season.  This was the ninth year that the school fielded a football team.  The Aggies were led by third year head coach Edwin O. Smith, and completed the season with a record of 5–3–1.

Bucknell University: Bucknell University is a private liberal arts college located alongside the West Branch Susquehanna River in the town of Lewisburg, in central Pennsylvania, United States.  The university consists of the College of Arts and Sciences, College of Management, and the College of Engineering.  Bucknell was founded in 1846, and features programs in the arts, humanities, sciences, social sciences, engineering, management, education, and music, as well as programs and pre-professional advising that prepare students for study in law and medicine.  It offers nearly 50 majors and over 60 minors.

1904 Florida State College football team: The 1904 Florida State College football team represented the Florida State College in the sport of American football during the 1904 college football season.  This was not the modern Florida State Seminoles of Florida State University, which began play in 1947, but its pre-Buckman Act predecessor institution.  The team posted a 2–3 record, but were state champions with a defeat of Stetson and the University of Florida.

James N. Ashmore: James Newton Ashmore (November 11, 1878 – April 27, 1944) was an American football, basketball and baseball coach.  He served as the head football coach at the Washington Agricultural College and School of Science—now known as Washington State University—(1903), Millikin University (1904–1906, 1909–1913), Western Maryland College—now known as McDaniel College–(1907–1908), and DePauw University (1922–1924), compiling a career college football record of 61–46–9.  Ashmore was also the head basketball coach at Washington Agricultural (1904–1905), Millikin (1905–1907, 1909–1914), the University of Colorado at Boulder (1914–1917), the University of Iowa (1920–1922), DePauw (1923–1924) and the University of North Carolina at Chapel Hill (1926–1931), tallying a career college basketball mark of 178–117.  In addition, he was the head baseball coach at Washington Agricultural (1904), Millikin (1905–1906, 1910–1914, 1940), Colorado, (1915–1917), Iowa (1920–1922), DePauw (1923–1924) and North Carolina (1927–1931).

1904 Princeton Tigers football team: The 1904 Princeton Tigers football team represented Princeton University in the 1904 college football season.  The team finished with an 8–2 record under second-year head coach Art Hillebrand and outscored its opponents by a total of 181 to 34.  Princeton tackle James Cooney was selected as a consensus first-team honoree on the 1904 College Football All-America Team.

Supporting paragraphs: 1905–06 Bucknell Bison men's basketball team Bucknell University
Answer: 1846