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Front of the engine screwed to the carburetor
Clean out the carburetor with gas, the reason it wont keep running is its not getting enough gas through the carburetor.
it may not have one. If it does it will be located on the fuel line between the fuel tank and the carburetor.
check your coil out
Clean the carburetor with special attention to the high speed jet and fuel passage.
mower carbs built since around the mid nineties are non adjustable, except for idle speed,
Three things you want to look for: dirty/clogged ful filter; faulty spark plug; carburetor setting.
You didn't say what engine model or carburetor you have, but you can go to http://outdoorpowerinfo.com/repairs/ and see if any of the pictures there look like yours.
how to Change oil on a Briggs and Stratton 6.75 HP
were can i find a wiring diagram for a 18 hp briggs and stratton engine
You need to either adjust your carburetor richer or leaner while at full throttle.
12.5 hp Briggs And Stratton blows fuse when u crank it