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

def xgcd(a, b):
    x0, y0, x1, y1 = 1, 0, 0, 1
    while b != 0:
        q, a, b = a // b, b, a % b
        x0, x1 = x1, x0 - q * x1
        y0, y1 = y1, y0 - q * y1
    return a, x0, y0

def modinv(a, m):
    g, x, y = xgcd(a, m)
    if g != 1:
        raise Exception('modular inverse does not exist')
    else:
        return x % m

def num(a, b, s):
    g = gcd(a, b)
    if s%g:
        return 0
    if g > 1:
        a //= g
        b //= g
        s //= g
    ini = s*modinv(a,b)%b
    return (s//a-ini)//b+1

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