You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option.

Ex Input:
Question: Working alone at its constant rate, machine K took 3 hours to produce 1/5 of the units produced last Friday. Then machine M started working and the two machines, working simultaneously at their respective constant rates, took 6 hours to produce the rest of the units produced last Friday. How many hours would it have taken machine M, working alone at its constant rate, to produce all of the units produced last Friday?

 Option A: 10

 Option B: 12

 Option C: 15

 Option D: 25

 Option E: 30

Ex Output:
Option C


Ex Input:
Question: If -5 < x < 7 and -6 < y < 3, which of the following specifies all the possible values of xy?

 Option A: -42 < xy < 30

 Option B: -42 < xy < 24

 Option C: -28 < xy < 18

 Option D: -24 < xy < 21

 Option E: -24 < xy < 24

Ex Output:
Option A


Ex Input:
Question: How many real roots does the equation x^3y+16xy+64y=0 have if y < 0?

 Option A: 0

 Option B: 1

 Option C: 2

 Option D: 3

 Option E: Infinite

Ex Output:

Option B