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: If \(a > 0\) and \(b < 0\), which of the following must be true?
(A)\(a + b = 0\) (B)\(\frac { a } { b } < 0\) (C)\(a + b < 0\) (D)\(a + b > 0\) (E)\(ab > 0\)

SOLUTION: B

PROBLEM: 1. Choose a number between 0 and 9.9. 2. Multiply the number from the previous step by 100. 3. Determine the smallest integer greater than or equal to the number obtained from the previous step. 4. Add 12 to the number found in the previous step. 5. Print the resulting number. If 6.127 is the number chosen in step 1, what is the number printed in step 5?
(A)12 (B)74 (C)624 (D)624.7 (E)625

SOLUTION: E

PROBLEM: Of the following numbers, which is least?
(A)\(2 + \frac{1}{2}\) (B)\(2 - \frac{1}{2}\) (C)\(\frac{1}{2} - 2\) (D)\(2 \times \frac{1}{2}\) (E)\(2 \div \frac{1}{2}\)

SOLUTION:
C