#include <bits/stdc++.h>
using namespace std;
#define rep(i, n) for(int i = 0; i < n; i++)
#define rep2(i, x, n) for(int i = x; i <= n; i++)
#define rep3(i, x, n) for(int i = x; i >= n; i--)
#define each(e, v) for(auto &e: v)
#define pb push_back
#define eb emplace_back
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
#define sz(x) (int)x.size()
using ll = long long;
using pii = pair<int, int>;
using pil = pair<int, ll>;
using pli = pair<ll, int>;
using pll = pair<ll, ll>;
const int MOD = 1000000007;
//const int MOD = 998244353;
const int inf = (1<<30)-1;
const ll INF = (1LL<<60)-1;
template<typename T> bool chmax(T &x, const T &y) {return (x < y)? (x = y, true) : false;};
template<typename T> bool chmin(T &x, const T &y) {return (x > y)? (x = y, true) : false;};

struct io_setup{
    io_setup(){
        ios_base::sync_with_stdio(false);
        cin.tie(NULL);
        cout << fixed << setprecision(15);
    }
} io_setup;

template<typename T> T gcd(const T &a, const T &b){
    if(b == 0) return a;
    else return gcd(b, a%b);
}

template<typename T> T lcm(const T &a, const T &b) {return a*(b/gcd(a,b));}

template<typename T> T extgcd(const T &a, const T &b, T &x, T &y){
    if(b == 0) {x = 1, y = 0; return a;}
    T g = extgcd(b, a%b, y, x);
    y -= (a/b)*x;
    return g;
}

int mod(const ll &a, const int &m){
    int ret = a%m;
    return ret+(ret < 0? m : 0);
}

int modinv(const int &a, const int &m){ //aとmは互いに素
    int x, y;
    extgcd(a, m, x, y);
    return mod(x, m);
}

template<typename T> T floor_sum(const T &n, const T &m, T a, T b){ //Σ(floor((a*i+b)/m)) (0<=i<n)
    T ret = (a/m)*(n*(n-1)/2)+(b/m)*n;
    a %= m, b %= m;
    T y = (a*n+b)/m;
    if(y == 0) return ret;
    ret += floor_sum(y, a, m, a*n-(m*y-b));
    return ret;
}

template<typename T> pair<T, T> Chinese_reminder_theorem(const T &a1, const T &m1, const T &a2, const T &m2){
    T x, y, g = extgcd(m1, m2, x, y);
    if((a2-a1)%g != 0) return make_pair(0, -1);
    T m = m1*(m2/g);
    T tmp = mod(x*((a2-a1)/g), m2/g);
    T a = (m1*tmp+a1) % m;
    return make_pair(a, m);
}

bool prepare_Garner(vector<int> &a, vector<int> &m){
    int n = sz(a);
    rep(i, n){
        rep(j, i){
            int g = gcd(m[i], m[j]);
            if((a[i]-a[j])%g != 0) return false;
            m[i] /= g, m[j] /= g;
            int gi = gcd(m[i], g), gj = g/gi;
            do{
                g = gcd(gi, gj);
                gi *= g, gj /= g;
            } while(g > 1);
            m[i] *= gi, m[j] *= gj;
        }
    }
    return true;
}

int Garner(vector<int> a, vector<int> m, const int &M){ //mの各要素はそれぞれ互いに素
    m.pb(M);
    vector<ll> coeffs(sz(m), 1);
    vector<ll> constants(sz(m), 0);
    rep(k, sz(a)){
        ll x = a[k]-constants[k], y = modinv(coeffs[k], m[k]);
        ll t = mod(x*y, m[k]);
        rep2(i, k+1, sz(m)-1){
            constants[i] += t*coeffs[i], constants[i] %= m[i];
            coeffs[i] *= m[k], coeffs[i] %= m[i];
        }
    }
    return constants.back();
}

int main(){
    int T;
    cin >> T;
    while(T--){
        vector<ll> A(3);
        ll B;
        rep(i, 3) cin >> A[i];
        cin >> B;
        sort(rall(A));

        ll G = gcd(A[1], A[2]);
        ll a = A[1]/G, b = A[2]/G;

        ll ans = 0;
        ll X, Y;
        extgcd(A[1], A[2], X, Y);

        for(ll i = 0; A[0]*i <= B; i++){
            ll C = B-A[0]*i;
            if(C%G != 0) continue;
            ll x, y;
            
            x = X*(C/G), y = Y*(C/G); 

            ll L, R;
            if(y >= 0) R = y/a;
            else R = -((-y+a-1)/a);

            if(x <= 0) L = (-x+b-1)/b;
            else L = -(x/b);

            ans += (R-L+1), ans %= MOD;
        }

        cout << ans << '\n';
    }
}