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.

Ex Input:
Problem: of all the homes on gotham street, 1 / 3 are termite - ridden, and 4 / 7 of these are collapsing. what fraction of the homes are termite - ridden, but not collapsing ?
Options: a. 1 / 3, b. 1 / 4, c. 1 / 5, d. 1 / 6, e. 1 / 7

Ex Output:
e


Ex Input:
Problem: what is the area of a regular hexagon with sides 1 in. long ?
Options: a. 1.59 square inch, b. 2.59 square inch, c. 3.59 square inch, d. 4.59 square inch, e. 2.69 square inch

Ex Output:
b


Ex Input:
Problem: the toll t, in dollars, for a truck using a certain bridge is given by the formula t = 0.50 + 0.50 ( x − 2 ), where x is the number of axles on the truck. what is the toll for an 18 - wheel truck that has 2 wheels on its front axle and 4 wheels on each of its other axles ?
Options: a. $ 2.00, b. $ 3.00, c. $ 3.50, d. $ 4.00, e. $ 5.00

Ex Output:

a