What's mean late valve timing in toyota Celica 97 1.8L I have this problem.

Your shop manual should have a photo or picture of this.

Same question posted twice?

check your idle air control valve or for possible vacuum leaks.

Air fuel mixture may be it. Also it could be a bad catalytic converter. Also the timing may be the culprit.

yes it would it would bend the valves and possibly a hole in a piston

Double check coolant to make sure you don't have oil floating on top. It's either an exterior leak, which would mean head gasket or valve cover gasket or it's an internal leak which would also mean head gasket. It it was burning that much oil in that a time, it would run poorly and you'd most likely get a check engine light.

right under the air filter. remove air filter housing completely, there it will be

The Toyota Celica Supra has the 5M-GE engine which is NON-interference motor. The worst a broken belt will do is leave you stranded.

well hold on there cowboy, first consult your service manual if your cars engine is an interference type. it means that if ever your timing belt breaks the valves that were stranded shall be hammered by up moving piston. eventually bending and warping of some of the valves would be a result. sometimes a damaged piston could also happen. timing belt breakage is a very serious matter and should not be taken likely. if you do not have a manual, what i do is removing the whole cyclinder head and inspect it. its better to be sure than sorry. in other cases you could see the warped valves by turning the crankshaft from tdc to 90 deg. and after which try turning the camshaft all the way around and carefully feeling the ease or difficulty in turning it and also the lift and rest of the rocker arms. any deviations you from the standard filler guage clearances would mean a bent or broken valves. hope this helps.

Your diagnosis is correct. The check valve in the fuel pump is letting the gas drain out of the line from the injector rail, and cranking for a long time then starting is indicative of this. Replace the fuel pump.