You are given a mathematical question described with an open-ended vocabulary. Questions in this task involve real-world situations, describing a mathematical problem. 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 number of turtles in Mosquito Pond has doubled every three years since the pond was discovered. The number of turtles in the pond can be described as \(n = (x)2^{\frac{t}{3}}\), where t is the number of years since the pond was discovered, n is the number of turtles in the pond at time t, and x is the number of turtles in the pond when it was discovered. If there were 160 turtles in Mosquito Pond nine years after it was discovered, then how many turtles lived in the pond the year it was discovered?
(A)2 (B)10 (C)20 (D)40 (E)160

Output: C


Input: Consider Input: A bag of candy contains chocolate hearts, vanilla hearts and gumballs. The number of pieces of heart-shaped candy is 5 times the number of gumballs. If one piece of candy is to be chosen at random from the bag, the probability that a vanilla heart is chosen is 4 times the probability that a chocolate heart will be chosen. If there are 16 vanilla hearts in the bagm what is the total number of pieces of candy in the bag?
(A)48 (B)44 (C)36 (D)24 (E)20

Output: D


Input: Consider Input: When the average (arithmetic mean) of a list of prices is multiplied by the number of prices, the result is n. What does n represent?
(A)The average of the prices (B)The number of prices (C)Half of the number of prices (D)The sum of the prices (E)Half of the sum of the prices


Output: D