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: a train traveled the first d miles of its journey it an average speed of 50 miles per hour, the next d miles of its journey at an average speed of y miles per hour, and the final d miles of its journey at an average speed of 160 miles per hour. if the train ’ s average speed over the total distance was 96 miles per hour, what is the value of y ?
Options: a. 68, b. 84, c. 90, d. 120, e. 160

Ex Output:
e


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: in the first 10 overs of a cricket game, the run rate was only 4.2. what should be the run rate in the remaining 40 overs to reach the target of 282 runs ?
Options: a. 6.25, b. 6.5, c. 6.75, d. 7, e. 6

Ex Output:

e