/**
 *   @FileName	a.cpp
 *   @Author	kanpurin
 *   @Created	2021.01.22 22:45:04
**/

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

template< int MOD >
struct mint {
public:
    long long x;
    mint(long long x = 0) :x((x%MOD+MOD)%MOD) {}
    mint(std::string &s) {
        long long z = 0;
        for (int i = 0; i < s.size(); i++) {
            z *= 10;
            z += s[i] - '0';
            z %= MOD;
        }
        this->x = z;
    }
    mint& operator+=(const mint &a) {
        if ((x += a.x) >= MOD) x -= MOD;
        return *this;
    }
    mint& operator-=(const mint &a) {
        if ((x += MOD - a.x) >= MOD) x -= MOD;
        return *this;
    }
    mint& operator*=(const mint &a) {
        (x *= a.x) %= MOD;
        return *this;
    }
    mint& operator/=(const mint &a) {
        long long n = MOD - 2;
        mint u = 1, b = a;
        while (n > 0) {
            if (n & 1) {
                u *= b;
            }
            b *= b;
            n >>= 1;
        }
        return *this *= u;
    }
    mint operator+(const mint &a) const {
        mint res(*this);
        return res += a;
    }
    mint operator-() const {return mint() -= *this; }
    mint operator-(const mint &a) const {
        mint res(*this);
        return res -= a;
    }
    mint operator*(const mint &a) const {
        mint res(*this);
        return res *= a;
    }
    mint operator/(const mint &a) const {
        mint res(*this);
        return res /= a;
    }
    friend std::ostream& operator<<(std::ostream &os, const mint &n) {
        return os << n.x;
    }
    friend std::istream &operator>>(std::istream &is, mint &n) {
        long long x;
        is >> x;
        n = mint(x);
        return is;
    }
    bool operator==(const mint &a) const {
        return this->x == a.x;
    }
    bool operator!=(const mint &a) const {
        return this->x != a.x;
    }
    mint pow(long long k) const {
        mint ret = 1;
        mint p = this->x;
        while (k > 0) {
            if (k & 1) {
                ret *= p;
            }
            p *= p;
            k >>= 1;
        }
        return ret;
    }
};
constexpr int MOD = 1e9 + 7;


vector< int > euler_phi(int n) {
  vector< int > euler(n + 1);
  for(int i = 0; i <= n; i++) {
    euler[i] = i;
  }
  for(int i = 2; i <= n; i++) {
    if(euler[i] == i) {
      for(int j = i; j <= n; j += i) {
        euler[j] = euler[j] / i * (i - 1);
      }
    }
  }
  return euler;
}

ll powMod(ll k, ll n, ll mod) {
    ll x = 1;
    while (n > 0) {
        if (n & 1) {
            x = x * k % mod;
        }
        k = k * k % mod;
        n >>= 1;
    }
    return x;
}
int main() {
    int t;cin >> t;
    auto phi = euler_phi(1000000);
    while(t--) {
        vector<ll> a(3);
        for (int i = 0; i < 3; i++) {
            cin >> a[i];
        }
        ll y;cin >> y;
        sort(a.rbegin(), a.rend());
        ll g = __gcd(a[1],a[2]);
        a[1] /= g;
        a[2] /= g;
        mint<MOD> ans = 0;
        ll pm = powMod(a[1],phi[a[2]]-1,a[2]);
        for (int i = 0; i*a[0] <= y; i++) {
            ll x = y-i*a[0];
            if (x % g != 0) continue;
            x /= g;
            ll z = pm * x % a[2];
            if (z > x/a[1]) continue;
            ans += (x/a[1]-z)/a[2]+1;
        }
        cout << ans << endl;
    }
    return 0;
}