Let $d(n)$ denote the number of divisors of $n$ including $1$ and itself. Then, $d(225)$, $d(1125)$, and $d(640)$ are

The number of terms in the expansion of $(x+y+z)^{10}$ is

In the expansion of $(x-2y+3z)^5$,if the total number of terms is $p$ and the coefficient of $x^2yz^2$ is $q$,then $\frac{q}{p}=$

Three players play a total of $9$ games. In each game,one person wins and the other two lose; the winner gets $2$ points and the losers get $-1$ each. The number of ways in which they can play all the $9$ games and finish each with a zero score is

The number of integers $q$,$1 \leq q \leq 2021$,such that $\sqrt{q}$ is rational and $\frac{1}{q}$ has a terminating decimal expansion,is

The number of positive integers $n$ such that $n+3$ divides $n^3-3$ is