#include <bits/stdc++.h>

using namespace std;

#define FOR(i, a, b) for(int i = (a); i < (b); i++)
#define RFOR(i, a, b) for(int i = (a) - 1; i >= (b); i--)
#define SZ(a) int(a.size())
#define ALL(a) a.begin(), a.end()
#define PB push_back
#define MP make_pair
#define F first	
#define S second

typedef long long LL;
typedef vector<int> VI;
typedef pair<int, int> PII;
typedef double db;

void solve()
{
	LL a, b, c, d, v, t;
	cin >> a >> b >> c >> d >> v >> t;
	LL lcm = a * c / gcd(a, c);
	LL counter = 0, i = 1, j = 1, lastLED = 0, lastBlock = 0;
	while (i * a < lcm)
	{
		LL ia = i * a, jc = j * c;
		if (ia <= jc)
		{
			counter += b;
			if (ia - lastLED > v)
				counter--;
			lastLED = ia;
			if (ia <= t % lcm)
				lastBlock = counter;
			i++;
		}
		if (jc <= ia)
		{
			counter += d;
			if (jc - lastLED > v)
				counter--;
			lastLED = jc;
			if (jc <= t % lcm)
				lastBlock = counter;
			j++;
		}
	}
	cout << b + d - 1 + (t / lcm) * counter + lastBlock << "\n";
}

int main()
{
	ios::sync_with_stdio(0);
	cin.tie(0);
	cout << fixed << setprecision(15);
	int t;
	cin >> t;
	while (t--)
		solve();
	return 0;
}