Okay, what kind of games? Though you can get a gaming laptop a good one worth its money will cost more than what your budget is.
If you want to PC game then stick to your desktop or go console.
* Also, tell us what you will need it for/want it for -- besides gaming.
Do you have your eyes on anything in particular? Can you link us to some models that catch your eye or are we starting from scratch?
For games get a PC..
Look people, there are such things as gaming laptops, now there are gateways, asus and if i recall alien ware made some. Now out of all the laptops you can get a good one that is for school and also good for gaming from asus, but you will have to make your buget go up by 200-500$ more. If you wanna know if the laptop can run a certain game, go on the laptop and go to http://cyri.systemrequirementslab.com/CYRI/
The ASUS G51JX-X3 is the one i would strongly recommend out of those 3. The toshiba's come in too often at my work. Lenovo i have never seen one in for repair i think but its not as well known of a brand as asus and also asus is the company that makes the best motherboard suited for gamers. Hope we were all of use.