2003 AIME I Problem 10

Triangle ABC is isosceles with AC = BC and \angle ACB = 106^\circ. Point M is in the interior of the triangle so that \angle MAC = 7^\circ and \angle MCA = 23^\circ. Find the number of degrees in \angle CMB.

Leading zeroes must be inputted, so if your answer is 34, then input 034

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.