What would make a 2000 oldsmobile intrigue smoke from tail pipe and knock when accelerating?

SOURCE: White smoke

these engines are pron to injector failure !!! white smoke means dumping fuel ! black smoke means lack of air ! blue means burning oil! its not an easy task! by all means not cheap! ull need 7 injectors and one #8 injector call a ford dealer to see the price ! but i would also call an international aka navistar dealer! there sometimes cheaper

SOURCE: white smoke comes out tail pipe

Its perfectly normal.Hot exhaust gases mixing with cold air and by products of the combustion process create the watery substance that you see spit out .Dual fuel (LPG,Hydrogen etc) vehicles do this a lot more noticably.By products of the combustion process are various but water vapour is one of them.Alot of heat is generated by the exhaust so watching a car driving in very cold conditions you can see this effect more clearly

SOURCE: 2000 oldsmobile Intrigue V6

This could be a # of problems but try these: Remove gas cap and carefully inspect it and the fuel filler neck for small cracks and/or distortion/dirt. Under the hood there is a small green cap which is the test port for the evap system, remove it and check the schrader valve to be sure its tight ( left hand threads!!!). Check all hoses attached to this for cracks/breaks.Other than this a diagnostic will have to be ran with a smoke machine to pin point leaks or valve/switch/solenoid/canister failure.

SOURCE: 1993 honda accord burning oil

worn piston rings produce blue smoke all the time especially under acceleration. time for another rebuild or total replacement.. i am not very familiar with metric but thet is still a lot of miles, replace the rings, or replace the engine, or replace the car. it sounds like it is well worn

SOURCE: Where is the Turn Signal relay located on a '00 Intrigue?

It's up under the left side of the dash, attached to the same bracket as the body control module. But sometimes the problem is in the hazard switch - try pressing it when the signals don't work and that often brings them back to life. Also, check the ground wire to the left of the base of the steering column.