#include <bits/stdc++.h>
using namespace std;
#define debug(x) cerr << #x << " == " << x << endl
#define el '\n'
typedef long long ll;
const int mod = 1000000007;
const int inf = 2147483647;
const int N = 200020;
void solve() {
	ll a, b, c, d, v, t;
	cin >> a >> b >> c >> d >> v >> t;
	if (v >= min(a, c)) {
		ll ans = (t / a + 1) * b + (t / c + 1) * d;
		cout << ans - 1 << endl;
		return;
	}
	ll sum = b + d - 1;
	ll len = a * c / __gcd(a, c);
	for (ll i = a; i < len; i += a) {
		sum += b;
		if (i % c > v)
			sum--;
	}
	for (ll i = c; i < len; i += c) {
		sum += d;
		if (i % a > v)
			sum--;
	}
	ll ans = (t / len) * sum;
	ll res = t % len;
	ans += b + d - 1;
	for (ll i = a; i < res; i += a) {
		ans += b;
		if (i % c > v)
			ans--;
	}
	for (ll i = c; i < res; i += c) {
		ans += d;
		if (i % a > v)
			ans--;
	}
	cout << ans << endl;
}
int main() {
	ios::sync_with_stdio(false);
	cin.tie(nullptr);
	cout.tie(nullptr);
	int T = 1;
	cin >> T;
	while (T--) {
		solve();
	}
	return 0;
}