Cleaning the crud out of the die may do the trick but sometimes, brass will "weld" itself onto the die and cause scrtaches. It may take more than cleaner to get it out. At the bottom of the die, there is a radius before the land (straight part) of the die that is sometimes sharp and causes brass to stick there. You will find out soon enough. I polish mine out in a lathe and break down that sharp edge a bit. Not enough to change anything but just a bit. If, after cleaning the die out, you find that there are still scratches on your brass, you can try taking the inards out of the die and with very fine polishing cloth, clean out the welded metal by pushing the polishing cloth in with a finger and spinning the die. I'm talking very fine metal cloth, not wood sandpaper. Sort of along the line of 1200 or 1500 wet sanding paper.
Bob