question: written by cdh. posted on june 2009. filed under installation.
Capitalize this past sentence correctly.
A: Written by cdh. Posted on June 2009. Filed under installation.

question: he restudied and generalised the mathematical theories of kummer fields and of cyclotomic fields from the standpoint of abelian varieties over algebraic number fields.
Capitalize this past sentence correctly.
A: He restudied and generalised the mathematical theories of Kummer fields and of cyclotomic fields from the standpoint of abelian varieties over algebraic number fields.

question: to progress to the next level you need to win your race.
Capitalize this past sentence correctly.
A: To progress to the next level you need to win your race.