TASK DEFINITION: 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.
PROBLEM: After selling \(\frac { 1 } { 3 } \) of the muffins he made for the school bake sale, Alan then sold an additional 10 muffins, leaving him with \(\frac { 1 } { 2 } \) of the number of muffins he started with. How many muffins did Alan start with?
(A)30 (B)42 (C)50 (D)60 (E)75

SOLUTION: D

PROBLEM: During the 2000 fiscal year, a company made of \(\frac{1}{7}\) its profits in the first quarter, \(\frac{1}{3}\) of its profits in the second quarter, \(\frac{1}{2}\) of its profits in the third quarter, and the remaining $2 million in the fourth quarter. What were the total profits for the fiscal year?
(A)\$18 million (B)\$36 million (C)\$63 million (D)\$84 million (E)\$126 million

SOLUTION: D

PROBLEM: Beth has twice as many baseball cards as Bruce. If Beth has \(b\) cards, how many cards does Bruce have?
(A)\(2b\) (B)\(b^2\) (C)\(\frac { b } { 2 } \) (D)\(\frac { 2 } { b } \) (E)\(b + 2\)

SOLUTION:
C