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

tuple<long long, long long, long long> extgcd(long long a, long long b) {
    if (b == 0) return {a, 1, 0};
    auto [d, x, y] = extgcd(b, a % b);
    return {d, y, x - a / b * y};
}

long long floordiv(long long a, long long b) {
    assert(b != 0);
    if (b < 0) a = -a, b = -b;
    if (a >= 0) return a / b;
    else return (a - b + 1) / b;
}

long long ceildiv(long long a, long long b) {
    assert(b != 0);
    if (b < 0) a = -a, b = -b;
    if (a >= 0) return (a + b - 1) / b;
    else return a / b;
}

const int MOD = 1000000007;

void solve() {
    vector<long long> a(3);
    for (int i = 0; i < 3; ++i) cin >> a[i];
    long long y;
    cin >> y;

    sort(a.begin(), a.end());
    auto [g, s, t] = extgcd(a[0], a[1]);
    a[0] /= g;
    a[1] /= g;
    
    long long ans = 0;
    for (int z = 0; z <= 1000000; ++z) {
        long long ny = y - a[2] * z;
        if (ny < 0) break;
        if (ny % g != 0) continue;
        ny /= g;
        long long lower = ceildiv(-s * ny, a[1]), upper = floordiv(t * ny, a[0]);
        ans += upper - lower + 1;
        ans %= MOD;
    }
    cout << ans << '\n';
}

int main() {
    int t;
    cin >> t;
    for (int i = 0; i < t; ++i) solve();
}