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 area of one square is x ^ 2 + 4 x + 4 and the area of another square is 4 x ^ 2 − 12 x + 9. if the sum of the perimeters of both squares is 32, what is the value of x ?
Options: a. 0, b. 2, c. 2.5, d. 4.67, e. 3

Output: e


Input: Consider Input: Problem: the mean proportional between 4 and 16 is ?
Options: a. 12, b. 13, c. 14, d. 15, e. 16

Output: e


Input: Consider Input: Problem: at 1: 00 pm, a truck left city p and headed toward city q at a constant speed of 36 km / h. one hour later, a car left city q and headed toward city p along the same road at a constant speed of 48 km / h. if the distance between city p and city q is 330 km, at what time will the truck and the car meet each other ?
Options: a. 4: 30, b. 4: 45, c. 5: 00, d. 5: 15, e. 5: 30


Output: e