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.

Input: Consider Input: \begin { gather* } a^2 - b^2 = 12 \\ a + b > 4 \end { gather* } If \(a\) and \(b\) are positive integers in the inequalities above and \(a > b\), what is the value of \(a\)?
(A)1 (B)2 (C)3 (D)4 (E)5

Output: D


Input: Consider 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

Output: E


Input: Consider Input: \begin { gather* } 4, 11, 18, 25, ...\end { gather* } The first four terms in a sequence are shown above. Each term after the first is found by adding 7 to the preceding term. Which term in the sequence is equal to \(4 + 40 \times 7\) ?
(A)The 18th (B)The 36th (C)The 39th (D)The 40th (E)The 41st


Output: E