#!/usr/bin/ruby
gets.to_i.times{
	n,m=gets.split.map &:to_i
	a=0
	((n+1..m-b=1).each{|n|b=b*n%m};a=1+n=m-2;(a=a*b%m if n%2>0;b=b*b%m;n/=2)while n>0) if (2..Math.sqrt(m)).each{|b|
		(n.downto(a=1){|n|a=a*n%m}if n<b+m/b;break)if m%b<1
	}&&n<m
	p a
}