You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. You are also given 4 or 5 answer options (associated with "A", "B", "C", "D", "E"). Do not generate anything else apart from one of the following characters: 'A', 'B, 'C', 'D', 'E'. LaTeX mathematical format (the standard way to express mathematical expressions in the typesetting software known as LaTeX) is used to express equations. Each question is solvable with high school math knowledge. Give only one answer for each question.

Example Input: If \(abcd = 3\) and \(abce = 0\), which of the following must be true?
(A)\(e = 0\) (B)\(c = 0\) (C)\(a > 0\) (D)\(b < 0\) (E)\(b > 3\)
Example Output: A

Example Input: \begin{gather*} A = \{\frac{3}{5}, 2, \frac{7}{2}, 4, \frac{15}{3}, 8\} \\ B = \{\frac{3}{5}, \frac{5}{3}, 4, 8\} \end{gather*} If n is a member of both set A and set B above, which of the following must be true? I. n is an integer II. 5n is an integer III. n = 5
(A)II only (B)III only (C)I and II only (D)I and III only (E)I, II, and III
Example Output: A

Example Input: \begin { gather* } A = \{ n|n = multiple of 3 \} \\ B = \{ n|n = multiple of 8 \} \\ C = \{ n|n = not divisible by 16 \} \end { gather* }  If n is a member of all of the sets \(A\), \(B\), and \(C\) above, which of the following could be the value of \(n\)?
(A)28 (B)36 (C)48 (D)72 (E)96
Example Output:
D

