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.

Example Input: Problem: the product x of two prime numbers is between 17 and 60. if one of the prime numbers is greater than 2 but less than 6 and the other is greater than 13 but less than 25, then x =
Options: a. 18, b. 29, c. 37, d. 44, e. 57
Example Output: e

Example Input: Problem: find the greatest number which leaves the same remainder when it divides 16, 46 and 82.
Options: a. 18, b. 8, c. 12, d. 16, e. none of these
Example Output: e

Example Input: Problem: the h. c. f of two numbers is 13 and their l. c. m is 2200. if one of the numbers is 286, then the other is ?
Options: a. 85, b. 90, c. 95, d. 100, e. 105
Example Output:
d