Toyota sold a quarter of a million Corollas in the States last year but very few left the factory spec’d like this. Most shoppers are here for the car’s renowned reliability, affordability and up to 50 MPG. But this crazy thing appeals to a different kind of customer – 300 turbocharged horses, a 6-speed manual, and an adjustable all-wheel drive system – this is a $40,000 Corolla that needs premium gas and returns a demure 24 MPG. The GR stands for Gazoo Racing and it’s every bit as nutty as it looks and sounds.