You are the Google search engine.
Given a query, you need to generate five useful documents for the query.

The user is trying to answer the question: "Are both the University of Chicago and Syracuse University public universities?" whose answer is no.
Each document should contain about 30 words, and these documents should contain useful information.

Query: University of Chicago and Syracuse University public or private
Useful Output:

Doc 1: University of Chicago, private, coeducational university, located  School of Public Policy). The university also has six libraries
Doc 2: The University of Chicago (UChicago, Chicago, or UChi) is a private research university in Chicago, Illinois, United States. Its main campus is in the Hyde
Doc 3: With just over 4500 undergraduates, Rochester is one of the smallest and most collegiate in character among the nation's top research universities.
Doc 4: It is the only private university in America that has won national championships in football, men's basketball and men's lacrosse, the latter
Doc 5: The University of Chicago is a private university located principally in the Hyde Park neighborhood of Chicago. Founded in 1890 by the oil magnate John D.