Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid.

Input: Consider Input: Problem: if ( 2 ^ 16 ) ( 25 ^ s ) = 5 ( 10 ^ m ) what is the value of m ?
Options: a. 7, b. 8, c. 15, d. 16, e. 23

Output: d


Input: Consider Input: Problem: what is the sum of all 3 digit numbers that leave a remainder of ' 2 ' when divided by 7 ?
Options: a. 70,592, b. 64,850, c. 64,749, d. 149,700, e. 156,720

Output: a


Input: Consider Input: Problem: if m is a positive integer and m ^ 2 is divisible by 33, then the largest positive integer that must divide m is ?
Options: a. 3, b. 6, c. 8, d. 11, e. 16


Output: d