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: in 5 football games thus far this season, barry has run for 98, 107, 85, 89, and 91 yards. at a minimum, how many yards m will he need to gain this sunday if he wants to keep his season average above 100 yards ?
Options: a. 101, b. 116, c. m = 130, d. m = 131, e. m = 141

Ex Output:
d


Ex 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

Ex Output:
e


Ex Input:
Problem: if ( 5 + k ) ( 5 - k ) = ( 5 ^ 2 ) - ( 2 ^ 3 ), then what is the value of k ?
Options: a. 1, b. 3, c. 4, d. 2, e. 6

Ex Output:

d