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: 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

Output: e

Input: Consider Input: Problem: if x + y = 260, x - y = 200, for integers of x and y, y = ?
Options: a. 200, b. 230, c. 50, d. 115, e. 150

Output: b

Input: Consider Input: Problem: the average ( arithmetic mean ) of the integers from 100 to 400, inclusive, is how much greater than the average of the integers from 50 to 250, inclusive ?
Options: a. 100, b. 175, c. 200, d. 125, e. 300
Output: a