#include <bits/stdc++.h>
using namespace std;

#define rep(i, a, b) for(int i = a; i < (b); ++i)
#define all(x) begin(x), end(x)
#define sz(x) (int)(x).size()
typedef long long ll;
typedef pair<int, int> pii;
typedef vector<int> vi;

long long a, b, c, d, v, t;

ll cal(ll x, bool &state) {
    ll cur = 0;
    ll timer_end = -1;
    ll counter = 0;
    while (true) {
        bool light = timer_end > cur;
        if (cur % a == 0) {
            if (!light) {
                counter += b-1;
            } else {
                counter += b;
            }
            timer_end = cur + v + 1;
        }
        light = timer_end > cur;
        if (cur % c == 0) {
            if (!light) {
                counter += d-1;
            } else {
                counter += d;
            }
            timer_end = cur + v + 1;
        }
        ll nxt = x;
        if (cur % a != 0) {
            ll temp = (cur+a-1)/a*a;
            nxt = min(nxt, temp);
        }
        if (cur % c != 0) {
            ll temp = (cur+c-1)/c*c;
            nxt = min(nxt, temp);
        }
        // if (cur % a == 0 && cur % c == 0) {
            ll temp = cur + min(a, c);
            nxt = min(nxt, temp);
        // }

        // cout << cur << ' ' << counter << '\n';
        
        // end the game afte pressing button
        if (cur == x) break;

        cur = nxt;
    }

    if (timer_end >= x) state = true;
    
    return counter;
}

void solve() {
    cin >> a >> b >> c >> d >> v >> t;
    a *= 2;
    c *= 2;
    v *= 2;
    t *= 2;

    if (v + 1 > min(a, c)) {
        cout << (t/a+1)*b+(t/c+1)*d-1 << '\n';
        return;
    }

    // calculate what happens in a lcm
    ll LCM = a / __gcd(a,c) * c;

    bool st = false;
    ll num  = t / LCM;
    ll ans = 0;

    if (num == 0) {
        ans = cal(t, st);
    } else {
        ll sol = cal(LCM, st);
        if (st) ans += sol + (num-1)*(sol+1);
        else ans += num * sol;
        if (t%LCM) ans += cal(t % LCM, st);
    }
    cout << ans << '\n';

}

int main() {
	cin.tie(0)->sync_with_stdio(0);
	cin.exceptions(cin.failbit);
    int t;
    cin >>t;
    while (t--)
    solve();
}