#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:
        N, K, H, Y = N//h, K//h, H//h, Y//h
        rev = pow(K,-1, H)
        if g > 1:
            ini = Y*pow(N, -1, g)%g
            ans = 0
            while N*ini <= Y:
                ans += ((Y-i*N)//K-rev*(Y-i*N)%H)//H+1
                ans %= mod
                ini += g
            print(ans)
        if g == 1:
            ans = sum(((Y-i*N)//K-rev*(Y-i*N)%H)//H+1 for i in range(Y//N+1))
            print(ans)