1. A custom operation is defined as $p \oplus q = 3p + 2q$. What is the value of $6 \oplus 4$? The value is ___.
2. The operation $\#$ is defined by the rule $a \# b = a^2 - b$. What is the value of $7 \# 10$?
3. Let the operation $\&$ be defined as $m \& n = \frac{m+n}{5}$. Find the value of $13 \& 17$. The value is ___.
4. A custom operation is defined as $x \star y = (x+y)(x-y)$. Which expression is equivalent to $x \star y$?
5. The operation $\diamond$ is defined by the rule $a \diamond b = 2(a^2 + b)$. What is the value of $3 \diamond 5$? The value is ___.
6. Given the operation $x \star y = xy + x + y$, what is the value of $(2 \star 1) \star 3$? The value is ___.
7. A custom operation is defined as $a \# b = ab - a + b$. What is the result of evaluating $5 \# (3 \# 2)$?
8. For the operation $m \& n = \frac{m}{n} + \frac{n}{m}$, calculate the value of $1 \& (2 \& 1)$. The value is ___.
9. For the nested operation $x \# (y \# z)$, which part of the expression must be calculated first according to the standard order of operations?
10. An operation is defined by $p \@ q = 2p + 3q$. Find the value of $(1 \@ 2) \@ 3$. The value is ___.