Question: The 1905 Michigan Agricultural Aggies football team represented Michigan Agricultural College (MAC) in the 1905 college football season, in their third year, they were under which head coach, and was an American football, basketball, baseball, and track and field coach and athletic director?

Context paragraphs:
1917 Michigan Agricultural Aggies football team: The 1917 Michigan Agricultural Aggies football team represented Michigan Agricultural College (MAC) in the 1917 college football season.  In their ninth non-consecutive year under head coach Chester Brewer (Brewer previously coached the Aggies from 1903 to 1910), the Aggies compiled a 0–9 record and were outscored by their opponents 179 to 23.

1899 Michigan Agricultural Aggies football team: The 1899 Michigan Agricultural Aggies football team represented Michigan Agricultural College (MAC) in the 1899 college football season.  In their first year under head coach Charles Bemies, the Aggies compiled a 2–4–1 record and outscored their opponents 142 to 127.  Bemies was the first professional coach to lead the MAC football team.  In the third game in the Michigan State–Notre Dame football rivalry, Notre Dame won the game at South Bend, Indiana, by 40 to 0 score as Notre Dame's captain McDonald scored five touchdowns.

1905 Michigan Agricultural Aggies football team: The 1905 Michigan Agricultural Aggies football team represented Michigan Agricultural College (MAC) in the 1905 college football season.  In their third year under head coach Chester Brewer, the Aggies compiled a 10–2 record and outscored their opponents 349 to 75.

Chester Brewer: Chester Leland Brewer (November 26, 1875 – April 16, 1953) was an American football, basketball, baseball, and track and field coach and athletic director.  He served as the head football coach at Albion College (1899–1902), Michigan Agricultural College, now Michigan State University, (1903–1910, 1917, 1919), the University of Missouri (1911–1913), and the University Farm, now the University of California, Davis, (1922), compiling a career record of 97–51–4.  Brewer was also the head basketball coach at Michigan Agricultural (1903–1910), Missouri (1910–1911) and the University Farm (1922–1923), tallying a mark of 84–36, and the head baseball coach at Michigan Agricultural (1904–1910, 1918–1920) and Missouri (1911, 1914–1917, 1933–1934), amassing a record of 148–93–4.

1920 Michigan Agricultural Aggies football team: The 1920 Michigan Agricultural Aggies football team represented Michigan Agricultural College (MAC) in the 1920 college football season.  In their first and only year under head coach Potsy Clark, the Aggies compiled a 4–6 record and outscored their opponents 270 to 166, including a 109 to 0 victory over Olivet College on October 30, 1920.

1919 Michigan Agricultural Aggies football team: The 1919 Michigan Agricultural Aggies football team represented Michigan Agricultural College (MAC) in the 1919 college football season.  In their tenth non-consecutive year under head coach Chester Brewer (Brewer previously coached the Aggies from 1903 to 1910 and in 1917), the Aggies compiled a 4–4–1 record and outscored their opponents 132 to 99.

1913 Michigan Agricultural Aggies football team: The 1913 Michigan Agricultural Aggies football team represented Michigan Agricultural College (MAC) in the 1913 college football season.  In their third year under head coach John Macklin, the Aggies compiled a 7–0 record and outscored their opponents 180 to 28.

1924 Michigan Agricultural Aggies football team: The 1924 Michigan Agricultural Aggies football team represented Michigan Agricultural College (MAC) in the 1924 college football season.  In their second year under head coach Ralph H. Young, the Aggies compiled a 5–3 record and outscored their opponents 210 to 48.

1904 Michigan Agricultural Aggies football team: The 1904 Michigan Agricultural Aggies football team represented Michigan Agricultural College (MAC) in the 1904 college football season.  In their second year under head coach Chester Brewer, the Aggies compiled a 8–1 record and outscored their opponents 380 to 16, including a 104 to 0 victory over Hillsdale College.

1896 Michigan Agricultural Aggies football team: The 1896 Michigan Agricultural Aggies football team represented Michigan Agricultural College (MAC) in the 1896 college football season.  The Aggies compiled a 1–2–1 record.  Although teams representing MAC had played two games against nearby Alma College a decade earlier in 1886, the 1896 season was the first in which MAC fielded a varsity football team for a full season of play.

Supporting paragraphs: 1905 Michigan Agricultural Aggies football team Chester Brewer
Answer: Chester Leland Brewer