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: \begin { gather* } 8, 10, x, 12, 8, 10, 8, 10, 10 \end { gather* } If the set of numbers above has both a median and a single mode of 10, then each of the number below could be the value of x EXCEPT
(A)4 (B)5 (C)6 (D)7 (E)8
Example Output: E

Example Input: If r is a multiple of both 12 and 18, which of the following must be a factor of r ?
(A)8 (B)24 (C)27 (D)30 (E)36
Example Output: E

Example Input: \begin { gather* } y = -3x + 2 \end { gather* }  According to the equation above, if the value of x increases by 10, which of the following statements is true?
(A)The value of \(y\) will increase by 30. (B)The value of \(y\) will increase by 28. (C)The value of \(y\) will decrease by 28. (D)The value of \(y\) will decrease by 30 (E)The value of \(y\) will decrease by2.
Example Output:
D