question: eligible students can take a look at the list of projects, engage in discussions with mentors and prepare their applications.
Capitalize this past sentence correctly.
A: Eligible students can take a look at the list of projects, engage in discussions with mentors and prepare their applications.

question: first simplify and remove the innermost bracket.
Capitalize this past sentence correctly.
A: First simplify and remove the innermost bracket.

question: you can find here the town hall and a well which dates back to the seventeenth century.
Capitalize this past sentence correctly.
A: You can find here the Town Hall and a well which dates back to the seventeenth century.