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

#define fi first
#define se second
#define all(x) x.begin(), x.end()
#define lch (o << 1)
#define rch (o << 1 | 1)

typedef double db;
typedef long long ll;
typedef unsigned int ui;
typedef pair<int, int> pint;
typedef tuple<int, int, int> tint;

const int MOD = 1e9 + 7;
const int INF = 0x3f3f3f3f;
const ll INF_LL = 0x3f3f3f3f3f3f3f3f;

// Cal(a, b, c, n) = sum[i = 1 -> n]: floor((a * i + b) / c)
ll euclidean(ll a, ll b, ll c, ll n) {
	if (a == 0) return b / c * (n + 1) % MOD;
	if (a >= c || b >= c)
		return (n * (n + 1) / 2 % MOD * (a / c) % MOD + (n + 1) * (b / c) % MOD + euclidean(a % c, b % c, c, n)) % MOD;
	ll m = (a * n + b) / c;
	return (n * m % MOD - euclidean(c, c - b - 1, a, m - 1)) % MOD;
}

ll cal(ll a, ll b, ll p) {
	ll xmax = p / a;
	ll x0 = p - a * xmax;
	ll ret = x0 / b + euclidean(a, x0, b, xmax) + (xmax + 1);
	return ret;
}

void solve() {
	ll a, b, c, s;
	cin >> a >> b >> c >> s;

	if (s / a < s / c) swap(a, c);
	if (s / b < s / c) swap(b, c);

	ll sum = 0;
	ll zUpp = s / c;
	for (ll z = 0; z <= zUpp; z++) {
		ll p = s - z * c;
		if (p == 0)
			sum++;
		else if (p > 0)
			sum += cal(a, b, p) - cal(a, b, p - 1);
	}
	cout << sum % MOD << endl;
}

int main() {
	ios::sync_with_stdio(0);

	int t;
	cin >> t;
	while (t--) solve();

	return 0;
}