ZX7 stopping when hot - any ideas

[Little Mick]

Agree with Bob, Bill.
Similar to the fuel filter issue but with the air. Also listen far vacuum when you open tank. You should be able to do this in the driveway/ locally

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[chicken16]

Please forgive my lack of knowledge of all things mechanical but is the breather a tube attached to the bottom of the tank? My guru, Rick, is away for a couple of weeks so I'll have to self help on this one.