1. I think all the major known brands like HP, Lenovo, Toshiba etc. have students discounts.
2. How portable? Do you prefer more portability or more gaming power?
The best I can think of under 700$ is the HP dv6z-7000 with Radeon 7730M, A6-4400M CPU, 6GB DDR3 and a very good matte FullHD screen - this screen makes it worth:http://www.gaminglaptopsjunky.com/hp-pavilion-dv6z-7000-15-6-gaming-laptop-radeon-hd-7730m-2gb-ddr3-6gb-ddr3-1600mhz-memory-750gb-hdd-amd-quad-a6-4400m-cpu-550-700-fullhd-screen-upgrade/
it would be 705$.
The screen is also the reason I recommend this laptop so much.
HP has an Xbox 360 4GB coupon - you buy 699$+ laptop and get an Xbox 360 4GB for free. You can then sell it:http://www.gaminglaptopsjunky.com/free-4gb-xbox-for-students-purchase-select-hp-pc-699-coupon-xbox360/