Starting, waiting, then stalling.

[Hiccups]

Recently my supra began stalling. When I go to start it first thing in the morning, fine, it starts. IT ONLY STALLS AFTER ITS BEEN DRIVEN.

So basically, I start it up fine when it hasn't been driven in the last few hours. However, If I got somewhere 10-20 minutes away, go in the store, when I come back it STALLS. Every time. It will attempt to start (makes the noise) and turns over. (Theres no spark tho, and its not the plugs)

BUT It starts after I wait and fool around for about 10 minutes. Its happening every time I run it.

Again, after it stalls, when i screw with it and wait it starts after about 10-15 minutes.

Please give me some input or if you've had this problem, how do i fix it?

I know its in the distributor, I just am not sure if this is a common problem or not. PLEASE comment, and thanks in advance.