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: If in a certain sequence the first term is 8 and every subsequent term is determined by adding 15 to the previous term, what is the value of the 50th term?
(A)743 (B)750 (C)753 (D)758 (E)773

Output: A


Input: Consider Input: For positive integers \(x\) and \(y\), \(x + y = 20\). Which of the following cannot be a possible value of \(x - y\) ?
(A)-8 (B)-2 (C)3 (D)4 (E)8

Output: C


Input: Consider Input: If a number is increased by 45 and the result is multiplied by 2, the result is 18 less than the original number. In which of the following equations does \(x\) represent the number?
(A)\(x + 2 \times 45 = 18 - x\) (B)\(2x + 45 = x - 18\) (C)\(2(x + 45) = x + 18\) (D)\(2(x - 45) = x - 18\) (E)\(2(x + 45) = x - 18\)


Output: E