#include "bits/stdc++.h"
using namespace std;

using ll = long long;
using P = pair<ll, ll>;
const ll INF = (1LL << 61);
ll mod = (ll)1e9 + 7;
ll gcd(ll a, ll b) {
	if (b == 0)return a;
	return gcd(b, a % b);
}
ll extgcd(ll a, ll b, ll& x, ll& y) {
	ll d = a;
	if (b != 0) {
		d = extgcd(b, a % b, y, x);
		y -= (a / b)*x;
	}
	else {
		x = 1; y = 0;
	}
	return d;
}
signed main() {
	ios::sync_with_stdio(false);
	cin.tie(0);
	int T; cin >> T;
	for (int _ = 0; _ < T; _++) {
		ll N, K, H, Y; cin >> N >> K >> H >> Y;
		if (N < K)swap(N, K);
		if (N < H)swap(N, H);
		ll g = gcd(K, H);
		ll p = 0, q = 0;
		K /= g; H /= g;
		extgcd(K, H, p, q);
		
		ll ans = 0;
		for (int x = 0; x <= Y / N; x++) {
			ll T = Y - N * x;
			if (T % g != 0)continue;
			ll right = (T / g * q) / K;
			if ((T / g * q) % K < 0)right--;
			ll left = (-(T / g) * p + (H - 1)) / H;
			if ((-(T / g)*p + (H - 1)) % H < 0)left--;
			ans += right - left + 1;
			ans %= mod;
		}
		cout << ans << endl;
	}
	return 0;
}