#include<iostream>

using namespace std;

int exgcd(int a,int b,int& x,int&y){//扩展欧几里得

    if(b==){

        x=; y=;

        return a;

    }

    int x2,y2;

    int d=exgcd(b,a%b,x2,y2);

    x=y2; y=x2-(a/b)*y2;

    return d;

}

int main(){

    int T; cin>>T;

    while(T--){

        int a,b,c,lx,hx,ly,hy;

        cin>>a>>b>>c>>lx>>hx>>ly>>hy;

        c=-c;

        if(lx>hx||ly>hy||(a==&&b==&&c!=)){cout<<<<endl; continue;}

        if(a==||b==){

            long long num_x,num_y;

            if(a==)num_x=hx-lx+;

            else if(c%a==&&(c/a)<=hx&&(c/a)>=lx)num_x=;

            else num_x=;

            if(b==)num_y=hy-ly+;

            else if(c%b==&&(c/b)<=hy&&(c/b)>=ly)num_y=;

            else num_y=;

            cout<<num_x*num_y<<endl;

            continue;

        }

        int x,y;

        int d=exgcd(a,b,x,y);

        if(c%d!=){cout<<<<endl; continue;}

        int k=c/d;

        x*=k; y*=k;

        a/=d; b/=d;

//        cout<<x<<' '<<y<<endl;

        if(x<lx){

            while(x<lx){

                x+=b;

                y-=a;

            }

        }

        else{

            while(x>=lx){

                x-=b;

                y+=a;

            }

            x+=b; y-=a;

        }

        long long ans=;

        while(x<=hx){

            if(y<=hy&&y>=ly){

                ans++;

//                cout<<x<<' '<<y<<endl;

            }

            x+=b;

            y-=a;

        }

        cout<<ans<<endl;

    }

}