#include<bits/stdc++.h>
using namespace std;
#define int long long
#define ii pair <int, int>
#define app push_back
#define all(a) a.begin(), a.end()
#define bp __builtin_popcountll
#define ll long long
#define mp make_pair
#define x first
#define y second
#define Time (double)clock()/CLOCKS_PER_SEC
#define debug(x) std::cout << #x << ": " << x << '\n';
#define FOR(i, n) for (int i = 0; i < n; ++i)
#define pb push_back
#define trav(a, x) for (auto& a : x)
using vi = vector<int>;
template <typename T>
std::ostream& operator <<(std::ostream& output, const pair <T, T> & data)
{
    output << "(" << data.x << "," << data.y << ")";
    return output;
}
template <typename T>
std::ostream& operator <<(std::ostream& output, const std::vector<T>& data)
{
    for (const T& x : data)
        output << x << " ";
    return output;
}
ll div_up(ll a, ll b) { return a/b+((a^b)>0&&a%b); } // divide a by b rounded up
ll div_down(ll a, ll b) { return a/b-((a^b)<0&&a%b); } // divide a by b rounded down 
#define tcT template<class T
#define tcTU tcT, class U
tcT> using V = vector<T>; 
tcT> void re(V<T>& x) { 
    trav(a, x)
        cin >> a;
}
tcT> bool ckmin(T& a, const T& b) {
    return b < a ? a = b, 1 : 0; 
} // set a = min(a,b)
tcT> bool ckmax(T& a, const T& b) {
    return a < b ? a = b, 1 : 0; 
}

//need define int long long
namespace Stuff {
const int MOD = 1e9+7;
int mod(int n) {
    n %= MOD;
    if (n < 0) return n + MOD;
    else return n;
}   
int fp(int a, int p) {
    int ans = 1, c = a;
    for (int i = 0; (1ll << i) <= p; ++i) {
        if ((p >> i) & 1) ans = mod(ans * c);
        c = mod(c * c);
    }   
    return ans;
}   
int dv(int a, int b) { return mod(a * fp(b, MOD - 2)); }
};
struct M {
ll x;
M (int x_) { x = Stuff::mod(x_); }   
M () { x = 0; }
M operator + (M y) {
    int ans = x + y.x;
    if (ans >= Stuff::MOD)
        ans -= Stuff::MOD;
    return M(ans);
}
M operator - (M y) {
    int ans = x - y.x;
    if (ans < 0)
        ans += Stuff::MOD;
    return M(ans);            
}   
M operator * (M y) { return M(x * y.x % Stuff::MOD); }   
M operator / (M y) { return M(x * Stuff::fp(y.x, Stuff::MOD - 2) % Stuff::MOD); }   
M operator + (int y) { return (*this) + M(y); }
M operator - (int y) { return (*this) - M(y); }   
M operator * (int y) { return (*this) * M(y); }   
M operator / (int y) { return (*this) / M(y); }   
M operator ^ (int p) { return M(Stuff::fp(x, p)); }   
void operator += (M y) { *this = *this + y; }   
void operator -= (M y) { *this = *this - y; }   
void operator *= (M y) { *this = *this * y; }
void operator /= (M y) { *this = *this / y; }   
void operator += (int y) { *this = *this + y; }   
void operator -= (int y) { *this = *this - y; }   
void operator *= (int y) { *this = *this * y; }
void operator /= (int y) { *this = *this / y; }   
void operator ^= (int p) { *this = *this ^ p; }
bool operator == (M y) { return x == y.x; }
};  
std::ostream& operator << (std::ostream& o, const M& a)
{
    cout << a.x;
    return o;
}

int gcd (int a, int b, int & x, int & y) {
    if (a == 0) {
        x = 0; y = 1;
        return b;
    }
    int x1, y1;
    int d = gcd (b%a, a, x1, y1);
    x = y1 - (b / a) * x1;
    y = x1;
    return d;
}

signed main() {
    #ifdef HOME
    freopen("input.txt", "r", stdin);
    #else
    #define endl '\n'
    ios_base::sync_with_stdio(0); cin.tie(0);
    #endif
    int t;
    cin >> t;
    while (t--) {
        vi a(3);
        re(a);
        int sum; cin >> sum;
        sort(all(a));

        auto lcm = [&] (int a, int b) {
            return a * b / __gcd(a, b);
        };  

        auto get = [&] (int a, int b, int sum) {
            int d = __gcd(a, b);
            if (sum % d)
                return 0ll;
            a /= d;
            b /= d;

            /*
            debug(a);
            debug(b);
            */

            int x, y;
            gcd(a, b, x, y);

            x *= sum/d;
            y *= sum/d;

            int sx = lcm(a, b) / a;
            int sy = lcm(a, b) / b;
            // x + k * sx >= 0, k >= -x/sx
            // y - k * sy >= 0, k <= y/sy
            
            /*
            debug(x);
            debug(sx);
            debug(y);
            debug(sy);
            */

            int l = div_up(-x, sx);
            int r = div_down(y, sy);

            /*
            debug(l);
            debug(r);
            */

            if (l <= r)
                return r - l + 1;                
            else
                return 0ll;
        };  

        M ans = 0;
        for (int i = 0; i * a.back() <= sum; ++i) {
            ans += get(a[0], a[1], sum - i * a.back());
        }   
        cout << ans << endl;
    }   
}