That is a recent enough laptop that it should run any distro out there. The standard warning is that not all the hardware might be supported. A laptop is the hardest machine to install to because you are locked into the present hardware. Linux supports a surprising number of devices, but not all. On a desktop you can go get a new hardware modem for $15 but with a laptop you are stuck with whatever is installed. The same is true of the sound card, video card, and wireless.
That being said, Mandriva (not been called Mandrake for a year or two) will be as good as any. You might try a live CD like Knoppix or Mandriva Live first. They do not need to be installed, just booted from the CDROM. If one of them can detect and configure your hardware then you have a good chance to make it work.
Look at http://www.linux-on-laptops.com/dell.html
for additional information.