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 a number is chosen at random from the set \(\lbrace -10, -8, -7, -2, 0, 3, 5, 7, 8, 10 \rbrace\), what is the probability that it is a member of the solution set of \(|x - 2| > 6\) ?
(A)\(\frac { 2 } { 5 } \) (B)\(\frac { 3 } { 5 } \) (C)\(\frac { 1 } { 2 } \) (D)\(\frac { 2 } { 3 } \) (E)\(\frac { 3 } { 4 } \)
Example Output: A

Example Input: If \(x^2 + y^2 = (x - y)^2\), which of the following statements must also be true? I. \(x = 0\) II. \(y = 0\) III. \(xy = 0\)
(A)I only (B)II only (C)III only (D)I and II only (E)I, II, and III only
Example Output: C

Example Input: If a ``sump'' number is defined as one in which the sum of the digits of the number is greater than the product of the digits of the same number, which of the following is a ``sump'' number?
(A)123 (B)234 (C)332 (D)411 (E)521
Example Output:
D

