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- Let $x$ be a real number such that $\csc{x} + \cot{x} = 3$. Evaluate $\csc x − \cot x$
- Let $k$ be a positive real number such that
- Let $f$ be a function such that $f(2 − 3x) = 4 − x$. Find the value of $\Sigma^{12}_{i=1}f(i)$
- Let $a, b$, and $c$ be nonnegative real numbers such that $a + b + c = 1$.
- Let $x, y, z \in \mathbb{R}$ such that $6x^2 + y^2 + z^2 = 2x(y + 2z)$. What is $x + y + z$?

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