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.
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Question: \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

Answer: E


Question: Which of the following is the equivalent of the statement that three-fourths of the cube of a plus b divided by the square of c equals a ?
(A)\((-a)^3 + b - c^2 = a\) (B)\(\frac{3}{4}a^2 + \frac{b}{c} = a\) (C)\(\frac{3a^3}{4} + \frac{b}{c^2} = a\) (D)\(\frac{3}{4}a^3 + \frac{b}{c} = a\) (E)\(\frac{3}{4}a^3 + bc^2 = a\)

Answer: C


Question: If \(a^3 = 4\), what is the value of \(a^6\) ?
(A)8 (B)10 (C)12 (D)16 (E)64

Answer:
D