#include<iostream>

#include<cstdio>

#include<cstring>

using namespace std;

int T,x,y,ans,g,l1,r1,l2,r2;

int init()

{

    int x=;char s=getchar();bool f=;

    while(s<''||s>''){if(s=='-')f=;s=getchar();}

    while(s>=''&&s<=''){x=x*+s-'';s=getchar();}

    if(f)return -x;return x;

}

void E_gcd(int a,int b)

{

    if(b==)

      {

          x=;y=;g=a;

      }

    else

      {

          E_gcd(b,a%b);

          int tmp=x;

          x=y;

          y=tmp-a/b*y;

      }

}

int main()

{

    int a,b,c,i,j;

    T=init();

    while(T--)

      {

          ans=;

          a=init();b=init();c=init();

          c=-c;

          l1=init();r1=init();l2=init();r2=init();

          if(a==&&b==)

            {

                if(c!=||l1>r1||l2>r1)

                  {

                      printf("0\n");

                    continue;

              }

            long long an,li,ri;

            li=r1-l1+;ri=r2-l2+;

            an=li*ri;

                cout<<an<<endl;

                continue;

          }

          if(a==)

            {

                y=c/b;

                if(y<l2||y>r2||c%b!=)

                  printf("0\n");

                else

                  printf("1\n");

                continue;

          }

        if(b==)

            {

                x=c/a;

                if(x<l1||x>r1||c%a!=)

                  printf("0\n");

                else

                  printf("1\n");

                continue;

          }

          E_gcd(a,b);

          if(c%g!=)

            {

                printf("0\n");

                continue;

          }

        int s=c/g;

        x*=s;y*=s;

          int ai=a/g;

        int bi=b/g;

        if(x<l1)

          {

              while(x<l1)

              {

                x+=bi;y-=ai;

              }

              for(i=x;i<=r1;i+=bi,y-=ai)

                if(y>=l2&&y<=r2)

                  ans++;

          }

        else if(x>r1)

          {

              while(x>r1)

              {

                x-=bi;y+=ai;

              }

              for(i=x;i>=l1;i-=bi,y+=ai)

                if(y>=l2&&y<=r2)

                  ans++;

          }

        else

          {

              int yi=y;

              for(i=x;i<=r1;i+=bi,yi-=ai)

                if(yi>=l2&&yi<=r2)

                  ans++;

            yi=y+ai;

            for(i=x-bi;i>=l1;i-=bi,yi+=ai)

                if(yi>=l2&&yi<=r2)

                  ans++;

          }

          printf("%d\n",ans);

      }

    return ;

}