"deal with problem" is correct and usable in written English.
You can use it when you need to express the idea of addressing or finding a solution to an issue or difficulty. For example, "The team convened to discuss how to deal with the problem."
How do you deal with problem employees?
A Paddy Power spokesman stressed that all staff are trained to deal with problem customers.
WARSAW TO FOLLOW SUIT Second Meeting of European Power Minus Britain, Expected to Deal With Problem.
The central bank is expected to push banks harder to deal with problem loans and rebuild their cash reserves.
In COC-run schools teachers attend monthly training sessions, are constantly evaluated and learn how to deal with problem children.
Relocation is one of the strategies used by conservationists to deal with problem cheetahs in southern Africa.
Investors were poorly informed about how to deal with problem brokers and losses from investment fraud, and most did not understand how margin accounts worked.
CAPE CANAVERAL, Fla., Dec. 8 — NASA will try to launch the space shuttle Atlantis on Sunday under restrictive rules to deal with problem fuel sensors and an unusually tight liftoff schedule.
Matt Zarb-Couspokesmanokesman for the Campaign for Fairer Gambling, said: "The bookmakers have been trying to convince government that they can deal with problem gambling to stave off further regulation.
New Jersey had in fact originally set funds for a program intended to enforce the feeding law, to teach residents how to coexist with bears (as millions of people across the United States do daily without incident) and to deal with problem bears through the use of aversive conditioning methods like chasing them with dogs or using pepper spray.
