import sys

sys.setrecursionlimit(10**6)
def II(): return int(sys.stdin.buffer.readline())
def LI(): return list(map(int, sys.stdin.buffer.readline().split()))
inf = 10**19
md = 10**9+7

def extgcd(x, md):
    a, b = 1, 0
    while md:
        a, b = b, (a-x//md*b)
        x, md = md, x%md
    return a

def gcd(a, b):
    while b: a, b = b, a%b
    return a

def solve(a, b, s):
    g = gcd(a, b)
    if s%g: return 0
    a, b, s = a//g, b//g, s//g

    x = (s*extgcd(a, b))%b
    y = (s-a*x)//b
    res = y//a+1
    if res < 0: return 0
    return res

mx = 1000005
for _ in range(II()):
    pp = LI()
    y = pp[-1]
    a, b, c = sorted(pp[:3])
    ans = 0
    for i in range(mx):
        if i*c > y: break
        ans += solve(a, b, y-i*c)
        ans %= md

    print(ans)