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: A gas tank with a capacity of \(g\) gallons is empty. A pump can deliver \(h\) gallons of gas every \(t\) seconds. In terms of \(g\), \(h\) and \(t\), how many seconds will it take this pump to fill the tank?
(A)\(\frac { g } { ht } \) (B)\(\frac { t } { gh } \) (C)\(\frac { gh } { t } \) (D)\(\frac { gt } { h } \) (E)\(\frac { h } { gt } \)

SOLUTION: D

PROBLEM: Nora has 10 fewer than twice the number of CDs that Deborah has. If n represents the number of Nora's CDs, and d represents the number of Deborah's CDs, which of the following is a correct equation relating n and d ?
(A)\(n = 2d - 10\) (B)\(n = 2(d - 10)\) (C)\(n = 10 - 2d\) (D)\(n = 2(10 - d)\) (E)\(n = 10 - (d +2)\)

SOLUTION: A

PROBLEM: The population density of a region is the number of people living in the region per square mile. Jackson County is a rectangle whose length is \(l\) miles and whose width is \(w\) miles. How many people live in Jackson County if its population density is \(d\)?
(A)\(dlw\) (B)\(\frac { lw } { d } \) (C)\(\frac { d } { lw } \) (D)\(\frac { 2(l + w) } { d } \) (E)\(\frac { l + w } { 2d } \)

SOLUTION:
A

