SMF has (either built-in or as a "mod") a graphical CAPTCHA test to minimize the chances of a spambot signing up as a member. You do restrict posting privileges to members (not guests), don't you?

I'm an idiot! Thank you. And please let this be an example to everyone thinking that we out here can't be this stupid!
The other forum I mentioned, lets guests post. And they don't have this issue. Plus, I figured, these spammers would just create a fake account, and post anyway. But either way, I was in the wrong for letting guests post, when I'm the one having this problem.
I'm also acting on wektech's post. Any, and all, advice is greatly appreciated. Thanks!!