#pragma GCC optimize("O3")
#include<bits/stdc++.h> 
using namespace std;
using ll=long long;
using P=pair<ll,ll>;
template<class T> using V=vector<T>; 
#define fi first
#define se second
#define all(v) (v).begin(),(v).end()
const ll inf=(1e18);
//const ll mod=998244353;
const ll mod=1000000007;
const vector<int> dy={-1,0,1,0},dx={0,-1,0,1};
ll GCD(ll a,ll b) {return b ? GCD(b,a%b):a;}
ll LCM(ll c,ll d){return c/GCD(c,d)*d;}
struct __INIT{__INIT(){cin.tie(0);ios::sync_with_stdio(false);cout<<fixed<<setprecision(15);}} __init;
template<class T> bool chmax(T &a, const T &b) { if (a<b) { a=b; return 1; } return 0; }
template<class T> bool chmin(T &a, const T &b) { if (a>b) { a=b; return 1; } return 0; }
template<class T>void debag(const vector<T> &a){cerr<<"debag :";for(auto v:a)cerr<<v<<" ";cerr<<"\n";}
template<class T>void print(const vector<T> &a){for(auto v:a)cout<<v<<" ";cout<<"\n";}
template<class T> 
T extgcd(T a,T b,T &x,T &y){
    if(b==0){
        x=1;y=0;
        return a;
    }
    T d=extgcd(b,a%b,y,x);
    y-=a/b*x;
    return d;
}
void solve(){
    V<ll> d(3);
    for(int i=0;i<3;i++)cin>>d[i];
    ll n;
    cin>>n;
    sort(all(d),greater<ll>());
    ll g=GCD(d[1],d[2]),v,x,y;
    extgcd(d[1],d[2],x,y);
    d[1]/=g;d[2]/=g;
    ll ans=0;
    for(ll i=0;i<=1000000;i++){
          if(i*d[0]>n)break;
          v=n-i*d[0];
          if(v%g!=0)continue;
          v/=g;
        if(y>=0)ans+=y*v/d[1]+(x*v-d[2]+1)/d[2]+1;
        else ans+=(x*v)/d[2]+(y*v-d[1]+1)/d[1]+1;
          if(ans>=mod)ans%=mod;
    }
    cout<<ans<<"\n";
}
int main(){
    int t;
    cin>>t;
    while(t--)solve();
}