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: The lowest integer of a set of consecutive integers is \(-33\). If the sum of these integers is 34, how many integers are in the set?
(A)33 (B)34 (C)66 (D)67 (E)68

Output: E


Input: Consider Input: For any numbers, x and y, \(x \blacksquare y\) is defined as \(x \blacksquare y = x^2 - y\). If \(a \blacksquare b = (a + 2) \blacksquare (b + 2)\), which of the following must be true?
(A)\(a = 0\) (B)\(a = -\frac { 1 } { 2 } \) (C)\(a = -1\) (D)\(b = 0\) (E)\(b = -1\)

Output: B


Input: Consider Input: The least integer of a set of consecutive even integers is \(-30\). If the sum of these integers is 66, how many integers are in the set?
(A)12 (B)14 (C)30 (D)33 (E)35


Output: D