#include <bits/stdc++.h>
using namespace std;
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(NULL);
long long t;
cin >> t;
while (t--)
{
long long a,b,l;
cin>>a>>b>>l;
long long x = 1;
set<long long> h;
for(long long i = 0;i<100;i++){
if(x>l) break;
if(l%x) continue;
long long r = l/x;
long long y = 1;
for(long long j = 0;j<100;j++){
if(y>r) break;
if(r%y) continue;
long long ans = r/y;
h.insert(ans);
y*=b;
}
x*=a;
}
long long total = h.size();
cout<<total<<endl;
}
}
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