import sys readline=sys.stdin.readline from collections import defaultdict def Divisors(N): divisors=[] for i in range(1,N+1): if i**2>=N: break elif N%i==0: divisors.append(i) if i**2==N: divisors+=[i]+[N//i for i in divisors[::-1]] else: divisors+=[N//i for i in divisors[::-1]] return divisors def Factorize(N): assert N>=1 factors=defaultdict(int) for p in range(2,N): if p**2>N: break while N%p==0: factors[p]+=1 N//=p if N!=1: factors[N]+=1 return factors T=int(readline()) mod=10**9+7 for t in range(T): N,C=map(int,readline().split()) D=Divisors(N) fact=Factorize(N) cnt=defaultdict(int) for d in D: cnt[d]+=N//d for p in fact: for d in D: if d%p==0: cnt[d//p]-=cnt[d] ans=pow(C,N,mod)*N%mod for d,c in cnt.items(): ans+=pow(C,d*2,mod)*c%mod ans%=mod ans*=pow(2*N,mod-2,mod) ans%=mod print(ans)