#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
ll p,a,b;
ll q,c,d;
ll m,t;

bool check(ll mid)
{
    ll g=t-(a+c)*mid;
    if(g<=0) return false;
    if(b+d==0)
    {
        if(g>0) return true;
    }
    ll s=g/(b+d);
    ll sum=m;
    while(s)
    {
        ll f=sum/p;
        if(f>=mid) return true;
        sum=sum+(sum/p*(q-p));
        s--;
    }
    if(sum/p>=mid) return true;
    return false;
}

void solve()
{
   cin>>p>>a>>b;
   cin>>q>>c>>d;
   cin>>m>>t;
   ll l=0,r=1e9;
   while(l<r)
   {
       ll mid=l+r+1>>1;
       if(check(mid)) l=mid;
       else r=mid-1;
   }
   if(m<p)
   {
      cout<<m<<'\n';
      return;
   }
   //cout<<check(6)<<endl;
   cout<<m+(q-p)*l<<'\n';
}

int main()
{
    int t;
    cin>>t;
    while(t--) solve();
    return 0;   
}