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So I'm thinking about making a multiclass Tetori/Alchemist (for fun, not actually battlefield-ready) and I was wondering if Vestigial Arm affects CMB/CMD in any way, shape, or form.

Also, I ran into the "throwing" problem again, this time on a ship. I'd honestly like to question why one cannot do, say, a "tomoe nage" (opponent grappled, pulled off balance, thrown with foot) to make someone go aerial. Maybe in the next major book, that problem can be addressed? As a Tetori, I don't get a lot of chances to do cool and flashy yet effective stuff like my spellcaster and barbarian friends.

Snark as necessary, and thanks in advance :D

1. I am in a PFS game. I have a +27 to my CMB, and the opponent has below 28 CMD. I use Grab after a successful attack roll and say it auto-grapples, my DM says it has to be a non-1 to successfully grapple. Who's right?

2. I am on a natural bridge and want to throw a Small creature off of it. I have 24 Strength, easily enough to bench press it. How would I go about throwing it without it having a chance to grab the side and climb back up? I haven't found any explanation in any book.