Toyota corolla dies while driving it will restart after 10-15 minutes

possible oil on the gearbox fly wheel.

bobbin (coil) tankairiation

Clogged catalytic converter. remove the front O2 sensor, if it doesn't die, replace the converter. Bad coil.

I would check my camshaft and crankshaft sensors something is definetely over heating

Did you do the timing belt and water pump?

Have you had the charging system tested by another shop ?

Call the dealer the tow should be free, there is a recall to solve that problem.

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this may be a few things, the most common is a bad ignition coil,this looses spark and car dies, then after cranking a few times it will start to work again, the problem can also be a fuelpump doing the same thing, the best thing would be to check for spark when it dies but you would need someone to spin the engine while you were to see if the sparkplug wire was sparking,another common thing is the distributor itself or the cap, see this can go on and on without a good diagnoses you can throw parts at this car all day, it would be cheaper to have someone test it, they would need to drive it until it stalled and then do some quick testing before it started and this may take a few days because you said after a few times it will run fine,

http://www.toyota.com/recall/corolla-matrix.html

The steering is powered by the crank by a v-belt, so, this only works with the engine turned on. Check all the gas supply lines (and fuel pump) and the electrical power from the distributor.