#yuki-1358
from math import gcd
mod = 10**9+7
T = int(input())  #20以下

#testcases
for _ in range(T):
    N, K, H, Y = map(int, input().split())
    g = gcd(K, H)
    h = gcd(N, g)
    if Y%h:
        print(0)
    else:
        if h-1:
            N, K, H, Y, g = N//h, K//h, H//h, Y//h, g//h
        rev = pow(K//g,-1, H//g)
        ans = 0
        if g-1:
            i = Y*pow(N, -1, g)%g
            while N*i <= Y:
                ans += ((Y-i*N)//K-(rev*(Y-i*N))//h%(H//h))//H+1
                ans %= mod
                i += g
            print(ans)
        else:
            i = 0
            while i*N <= Y:
                ans += ((Y-i*N)//K-rev*(Y-i*N)%H)//H+1
                ans %= mod
                i += 1
            print(ans)