2004 Suzuki Eiger cranks and idle but will not take gas

Classic sign of a carb needing cleaned. This is assuming you have a clean air filter and no mods. If a quad runs lean this will happen also. If it runs better with the choke on slightly then you know it is lean. Check for air leaks between the carb and motor. 90% of the time it will be a dirty carb though.

May need to clean the carburetor. Does it run any better or worse when you put the choke on?

Did you check the choke sometimes it
Gets stuck. Be cause if it's on it won't do anything it will die everytime you apply gas. Or the gas change over value on the side of gas tank I hit mine by mistake one time and it wouldn't
Go or do anything.