What are some good sample queries to try YouAgent with?

Complicated queries that involve calculation, or are related to STEM subjects are generally good fits for YouAgent. Some example queries are:

• Example 1: @agent What will my monthly mortgage payment be if I borrow $301,000 at a 7.76% interest rate for 30 years?

• Example 2: @agent Find the maximum and minimum values of $f(x, y)=81 x^2+y^2$ subject to the constraint $4 x^2+y^2=9$

• Example 3: @agent If $x$ and $y$ are integers such that $3 x+2 y \equiv 5(\bmod 13)$ and $x+7 y \equiv 1(\bmod 13)$, then $5 x+3 y$ is congruent modulo 13 to (A) 2. (B) 5. (C) 7. (D) 10. (E) 11.