TASK DEFINITION: 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.
PROBLEM: Let the function f be defined by \(f(t) = 6t\) for all numbers t. Which of the following is equivalent to \(f(t - r)\)?
(A)\(\frac{t - r}{6}\) (B)\(6t - r\) (C)\(6t - 6r\) (D)\(12(t - r)\) (E)36tr

SOLUTION: C

PROBLEM: The integer 90 can be expressed as the sum of \(z\) consecutive integers. The value of z could be any of the following EXCEPT
(A)3 (B)4 (C)5 (D)6 (E)9

SOLUTION: D

PROBLEM: If x and y are integers such that \(x^2 = 81\) and \(2y^3 = 54\), which of the following could be true? I. \(x = 9\) II. \(y = -3\) III. \(x + y = -6\)
(A)I only (B)II only (C)I and III only (D)II and III only (E)I, II, and III

SOLUTION:
C