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: Consider the sequence 1, 2, 3, 1, 2, 3, 1, 2, 3, ... . What is the sum of the first 100 terms?
(A)100 (B)180 (C)198 (D)199 (E)200

Output: D


Input: Consider Input: \begin{gather*} A = \{\frac{3}{5}, 2, \frac{7}{2}, 4, \frac{15}{3}, 8\} \\ B = \{\frac{3}{5}, \frac{5}{3}, 4, 8\} \end{gather*} If n is a member of both set A and set B above, which of the following must be true? I. n is an integer II. 5n is an integer III. n = 5
(A)II only (B)III only (C)I and II only (D)I and III only (E)I, II, and III

Output: A


Input: Consider Input: Given a sequence of integers where, starting from the first term, every third term is a multiple of 3 and every second term is a multiple of 2, which of the following could be the value of the 144th term in the sequence?
(A)15 (B)44 (C)81 (D)114 (E)206


Output: D