#include<bits/stdc++.h>
#include <iostream>
#include <cstdio>
#include <cstdlib>
#include <algorithm>
#include <cstring>
#include <cmath>
#include <stack>
#include <vector>
#include <queue>
#include <map>
#include <climits>
#include <cassert>
#include <math.h>
#include <string>
#define bit(x) (1LL << (x))
#define lowbit(x) (x & (-x))
#define SQU(x) ((x) * (x))
#define ls id << 1
#define rs id << 1 | 1
#define int long long//////////////////////////////////////////
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
const int maxn=620;
const int INF=0x3f3f3f3f;
const int inf=0x3f3f3f3f;
#define ll long long
#define llu unsigned ll
using namespace std;
const int LINF=0x3f3f3f3f3f3f3f3f;
const int mod=998244353;
//const int inv2=(mod+1)/2;
// x3=x2-y2+y1,y3=y2+x2-x1;正方形对角，另外两点公式
// x4=x1-y2+y1,y4=y1+x2-x1;
int MaximumWeightedMatchingn,MaximumWeightedMatchingm;
struct MaximumWeightedMatching{
    struct node{
        int x,y,z;
        node(){}
        node(int a,int b,int c){
            x=a,y=b,z=c;
        }
    }g[maxn][maxn];
    int nx,t,lab[maxn],match[maxn],slack[maxn];
    int st[maxn],pa[maxn],flower_from[maxn][maxn],S[maxn],vis[maxn];
    vector<int>flower[maxn];
    deque<int>q;
    void Init(){
        for(int x=1;x<=MaximumWeightedMatchingn;x++)
            for(int y=1;y<=MaximumWeightedMatchingn;y++ )
                g[x][y]=node(x,y,0);
    }
    int dist(node e){
        return lab[e.x]+lab[e.y]-g[e.x][e.y].z*2;
    }
    void update_slack(int x,int y){
        if(!slack[y]||dist(g[x][y])<dist(g[slack[y]][y]))
            slack[y]=x;
    }
    void set_slack(int y){
        slack[y]=0;
        for(int x=1;x<=MaximumWeightedMatchingn;x++)
            if(g[x][y].z>0&&st[x]!=y&&S[st[x]]==0)
                update_slack(x,y);
    }
    void q_push(int x){
        if(x<=MaximumWeightedMatchingn) return q.push_back(x);
        for(int i=0;i<flower[x].size();i++) q_push(flower[x][i]);
    }
    void set_st(int x,int b){
        st[x]=b;
        if(x<=MaximumWeightedMatchingn) return;
        for(int i=0;i<flower[x].size();i++) set_st(flower[x][i],b);
    }
    int get_pr(int b,int xr){
        int pr=find(flower[b].begin(),flower[b].end(),xr)-flower[b].begin();
        if(pr%2==1){
            reverse(flower[b].begin()+1,flower[b].end());
            return flower[b].size()-pr;
        }
        else return pr;
    }
    void set_match(int x,int y){
        match[x]=g[x][y].y;
        if(x<=MaximumWeightedMatchingn) return;
        node e=g[x][y];
        int xr=flower_from[x][e.x],pr =get_pr(x,xr);
        for(int i=0;i<pr;i++)
            set_match(flower[x][i],flower[x][i^1]);

        set_match(xr,y);
        rotate(flower[x].begin(),flower[x].begin()+pr,flower[x].end());
    }
    void augment(int x,int y){
        int xnv=st[match[x]];
        set_match(x,y);
        if(!xnv) return;
        set_match(xnv,st[pa[xnv]]);
        augment(st[pa[xnv]],xnv);
    }
    int get_lca(int x,int y){
        for(++t;x||y;swap(x,y)){
            if(x==0) continue;
            if(vis[x]==t) return x;
            vis[x]=t;
            x=st[match[x]];
            if(x) x=st[pa[x]];
        }
        return 0;
    }
    void add_blossom(int x,int lca,int y){
        int b=MaximumWeightedMatchingn+1;
        while(b<=nx&&st[b]) b++;
        if(b>nx) nx++;
        lab[b]=0,S[b]=0;
        match[b]=match[lca];
        flower[b].clear();
        flower[b].push_back(lca);
        for(int xx=x,yy;xx!=lca;xx=st[pa[yy]])
            flower[b].push_back(xx),flower[b].push_back(yy=st[match[xx]]),q_push(yy);
        reverse(flower[b].begin()+1,flower[b].end());
        for(int xx=y,yy;xx!=lca;xx=st[pa[yy]])
            flower[b].push_back(xx),flower[b].push_back(yy=st[match[xx]]),q_push(yy);
        set_st(b,b);
        for(int xx=1;xx<=nx;xx++) g[b][xx].z=g[xx][b].z=0;
        for(int xx=1;xx<=MaximumWeightedMatchingn;xx++) flower_from[b][xx]=0;
        for(int i=0;i<flower[b].size();i++){
            int xs=flower[b][i];
            for(int xx=1;xx<=nx;xx++)
                if(g[b][xx].z==0||dist(g[xs][xx])<dist(g[b][xx]))
                    g[b][xx]=g[xs][xx],g[xx][b]=g[xx][xs];
            for(int xx=1;xx<=MaximumWeightedMatchingn;xx++)
                if(flower_from[xs][xx]) flower_from[b][xx]=xs;
        }
        set_slack(b);
    }
    void expand_blossom(int b){
        for(int i=0;i<flower[b].size();i++ )
            set_st(flower[b][i],flower[b][i]);
        int xr=flower_from[b][g[b][pa[b]].x],pr=get_pr(b,xr);
        for(int i=0;i<pr;i+=2){
            int xs=flower[b][i],xns=flower[b][i+1];
            pa[xs]=g[xns][xs].x;
            S[xs]=1,S[xns]=0;
            slack[xs]=0,set_slack(xns);
            q_push(xns);
        }
        S[xr]=1,pa[xr]=pa[b];
        for(int i=pr+1;i<flower[b].size();i++){
            int xs=flower[b][i];
            S[xs]=-1,set_slack(xs);
        }
        st[b] = 0;
    }
    bool on_found_edge(const node &e){
        int x=st[e.x],y=st[e.y];
        if(S[y]==-1){
            pa[y]=e.x,S[y]=1;
            int nu=st[match[y]];
            slack[y]=slack[nu]=0;
            S[nu]=0,q_push(nu);
        }
        else if(S[y]==0){
            int lca=get_lca(x,y);
            if (!lca) return augment(x,y),augment(y,x),true;
            else add_blossom(x,lca,y);
        }
        return false;
    }
    bool matching(void){
        memset(S,-1,sizeof(S));
        memset(slack,0,sizeof(slack));
        q.clear();
        for(int x=1;x<=nx;x++)
            if(st[x]==x&&!match[x]) pa[x]=0,S[x]=0,q_push(x);
        if(q.empty()) return false;
        while(1){
            while(q.size()){
                int x=q.front();
                q.pop_front();
                if(S[st[x]]==1) continue;
                for(int y=1;y<=MaximumWeightedMatchingn;y++)
                    if(g[x][y].z>0&&st[x]!=st[y]){
                        if(dist(g[x][y])==0){
                            if(on_found_edge(g[x][y])) return true;
                        }
                        else update_slack(x,st[y]);
                    }
            }
            int d=inf;
            for(int b=MaximumWeightedMatchingn+1;b<=nx;b++)
                if(st[b]==b&&S[b]==1) d=min(d,lab[b]/2);
            for(int x=1;x<=nx;x++)
                if(st[x]==x&&slack[x])
                {
                    if(S[x]==-1) d=min(d,dist(g[slack[x]][x]));
                    else if(S[x]==0) d=min(d,dist(g[slack[x]][x])/2);
                }
            for(int x=1;x<=MaximumWeightedMatchingn;x++){
                if(S[st[x]]==0){
                    if(lab[x]<=d) return false;
                    lab[x]-=d;
                }
                else if(S[st[x]]==1) lab[x]+=d;
            }
            for(int b=MaximumWeightedMatchingn+1;b<=nx;b++)
                if(st[b]==b){
                    if(S[st[b]]==0) lab[b]+=d*2;
                    else if (S[st[b]]==1) lab[b]-=d*2;
                }
            q.clear();
            for(int x=1;x<=nx;x++)
                if(st[x]==x&&slack[x]&&st[slack[x]]!=x&&dist(g[slack[x]][x])==0)
                    if(on_found_edge(g[slack[x]][x])) return true;
            for(int b=MaximumWeightedMatchingn+1;b<=nx;b++)
                if(st[b]==b&&S[b]==1&&lab[b]==0) expand_blossom(b);
        }
        return false;
    }
    pair<ll,int>weight_blossom(void){
        memset(match,0,sizeof(match));
        nx=MaximumWeightedMatchingn;
        int n_matches=0;
        ll tot_weight=0;
        for(int x=0;x<=MaximumWeightedMatchingn;x++)
            st[x]=x,flower[x].clear();
        int w_max=0;
        for(int x=1;x<=MaximumWeightedMatchingn;x++)
            for(int y=1;y<=MaximumWeightedMatchingn;y++)
            {
                flower_from[x][y]=(x==y?x:0);
                w_max=max(w_max,g[x][y].z);
            }
        for(int x=1;x<=MaximumWeightedMatchingn;x++) lab[x]=w_max;
        while(matching()) ++n_matches;
        for(int x=1;x<=MaximumWeightedMatchingn;x++)
            if(match[x]&&match[x]<x)
                tot_weight+=(ll)g[x][match[x]].z;
        return make_pair(tot_weight,n_matches);
    }
    void solve(){
        Init();
        for(int i=1;i<=MaximumWeightedMatchingm;i++){
            int t1,t2,t3;
            cin>>t1>>t2>>t3;
            g[t1][t2].z=g[t2][t1].z=t3;
        }
        cout<<weight_blossom().first<<'\n';
        for(int i=1;i<=MaximumWeightedMatchingn;i++) cout<<match[i]<<" \n"[i==MaximumWeightedMatchingn];
    }
};
const int bn=1e3+10;
struct Blossom{//add(u,v),blossom(now);
    int ans,cnt;
    Blossom(){
        ans=cnt=0;
    }
    queue<int>que;
    vector<vector<int>>adj=vector<vector<int>>(bn);
    vector<int>color=vector<int>(bn,0),match=vector<int>(bn,0),
            pre=vector<int>(bn,0),fa=vector<int>(bn),vis=vector<int>(bn,0);
    void add(int u,int v){
        if(!match[u]&&!match[v]){
            ans++;
            match[u]=v;
            match[v]=u;
        }
        adj[u].push_back(v);
        adj[v].push_back(u);
    }
    int find(int a){
        if(fa[a]==a)return a;
        return fa[a]=find(fa[a]);
    }
    int lca(int u,int v){
        u=find(u);v=find(v);
        for(++cnt;vis[u]!=cnt;){
            vis[u]=cnt;
            u=find(pre[match[u]]);
            if(v)swap(u,v);
        }
        return u;
    }
    void shrink(int u,int v,int root){
        while(find(u)!=root){
            pre[u]=v;
            v=match[u];
            if(color[v]==2){
                color[v]=1;
                que.push(v);
            }
            if(find(u)==u)fa[u]=root;
            if(find(v)==v)fa[v]=root;
            u=pre[v];
        }
    }
    void init(){
        for(int i=1;i<=bn;i++){
            pre[i]=color[i]=0;
            fa[i]=i;
        }
    }
    bool update(int v){
        while(v){
            int temp=match[pre[v]];
            match[v]=pre[v];
            match[pre[v]]=v;
            v=temp;
        }
        return true;
    }
    bool blossom(int now){
        que=queue<int>();
        init();
        color[now]=1;
        que.push(now);
        while(que.size()){
            int u=que.front();
            que.pop();
            for(auto &v:adj[u]){
                if(find(u)==find(v)||color[v]==2)continue;
                if(color[v]){
                    int root=lca(u,v);
                    shrink(u,v,root);
                    shrink(v,u,root);
                }
                else{
                    color[v]=2;
                    pre[v]=u;
                    if(!match[v]){
                        return update(v);
                    }
                    else{
                        color[match[v]]=1;
                        que.push(match[v]);
                    }
                }
            }
        }
        return false;
    }
};
struct Edge{//MCF,MCMF
    int from,to,cap,flow,cost;
    Edge(int u,int v,int c,int f,int w):from(u),to(v),cap(c),flow(f),cost(w){}
};
const int MAXN=1000;//MCMF MCF
struct MCMF{//init(n) add(fr,to,cap,cost) MincostMaxflow(s,t,cost) MAXFLOW//zui xiao fei yong zui da liu
    int n,m,inq[MAXN],d[MAXN],p[MAXN],a[MAXN];
    vector<Edge> edges;
    vector<int> G[MAXN];
    void init(int n){
        this->n=n;
        for (int i=0;i<=n;i++)
            G[i].clear();
        edges.clear();
    }
    void AddEdge(int from,int to,int cap,int cost){
        edges.push_back(Edge(from,to,cap,0,cost));
        edges.push_back(Edge(to,from,0,0,-cost));
        m=edges.size();
        G[from].push_back(m-2);
        G[to].push_back(m-1);
    }
    bool BellmanFord(int s,int t,int&flow,long long&cost){
        for (int i=0;i<=n;i++)
            d[i]=INT_MAX;
        memset(inq,0,sizeof(inq));
        d[s]=0;
        inq[s]=1;
        p[s]=0;
        a[s]=INT_MAX;
        queue<int>Q;
        Q.push(s);
        while(!Q.empty()){
            int u=Q.front();
            Q.pop();
            inq[u]=0;
            for(int i=0;i<G[u].size();i++){
                Edge&e=edges[G[u][i]];
                if(e.cap>e.flow&&d[e.to]>d[u]+e.cost){
                    d[e.to]=d[u] + e.cost;
                    p[e.to]=G[u][i];
                    a[e.to]=min(a[u],e.cap-e.flow);
                    if(!inq[e.to]){
                        Q.push(e.to);
                        inq[e.to]=1;
                    }
                }
            }
        }
        if(d[t]==INT_MAX)return false;
        flow+=a[t];
        cost+=(long long)d[t]*(long long)a[t];
        for(int u=t;u!=s;u=edges[p[u]].from){
            edges[p[u]].flow+=a[t];
            edges[p[u]^1].flow-=a[t];
        }
        return true;
    }
    int MincostMaxflow(int s,int t,long long&cost){
        int flow=0;
        cost=0;
        while(BellmanFord(s,t,flow,cost));
        return flow;
    }
};
struct KM{//二分完全匹配最小权-最大权 km.add(fr,to,cost),km.init1(n),km.km() 最小权转负数
    int s[200],t[200],pii[200],slack[200],lx[200],ly[200],g[200][200],n;
    void add(int fr,int to,int cost){
        g[fr][to]=max(g[fr][to],cost);
    }
    void init1(int x){
        n=x;
        for(int i=1;i<=n;i++)
            for(int j=1;j<=n;j++)
                g[i][j]=-INF;//INF
    }
    void init2(){
        for(int i=1;i<=n;i++)slack[i]=INF;
    }
    void init3(){
        for(int i=1;i<=n;i++)
            s[i]=t[i]=0;
    }
    bool dfs(int u){
        s[u]=1;
        for(int v=1;v<=n;v++){
            if(!t[v]&&lx[u]+ly[v]==g[u][v]){
                t[v]=1;
                if(pii[v]==-1||dfs(pii[v])){
                    pii[v]=u;
                    return true;
                }
            }
            else slack[v]=min(lx[u]+ly[v]-g[u][v],slack[v]);
        }
        return false;
    }
    void update(){
        int ans=INF;
        for(int i=1;i<=n;i++){
            if(!t[i])ans=min(ans,slack[i]);
        }
        for(int i=1;i<=n;i++){
            if(s[i])lx[i]-=ans;
            if(t[i])ly[i]+=ans;
        }
    }
    void km(){
        for(int i=1;i<=n;i++){
            pii[i]=-1;
            lx[i]=-INF;ly[i]=0;//lx[i]=INF
            for(int j=1;j<=n;j++){
                lx[i]=max(lx[i],g[i][j]);//max->min
            }
        }
        for(int i=1;i<=n;i++){
            init2();
            while(true){
                init3();
                if(dfs(i))break;
                else update();
            }
        }
    }
};
const int SThashnum=1e3,SThashlength=1e3;
struct SThash{ // init() addstring(int now,string s) gethash(int now,int l,int r)//STHASH goto struct
    int f1[SThashnum][SThashlength],f2[SThashnum][SThashlength],f3[SThashnum][SThashlength];
    int pw1[SThashnum][SThashlength],pw2[SThashnum][SThashlength],pw3[SThashnum][SThashlength];
    const int mod1=998244353,mod2=1e9+7,mod3=1e9+9,bs=18492853;
    int v1,v2,v3;
    SThash(int v1=0,int v2=0,int v3=0):v1(v1),v2(v2),v3(v3){}
    bool operator<(const SThash&a)const{
        return v1<a.v1;
    }
    bool operator==(const SThash x) const{return v1==x.v1&&v2==x.v2&&v3==x.v3;}
    inline void init(){for(int i=1;i<=1000;i++)pw1[i][0]=pw2[i][0]=pw3[i][0]=1;}
    inline int addmod(int x,int mod){return x>=mod?x-mod:x;}
    inline int submod(int x,int mod){return x<0?x+mod:x;}
    SThash gethash(int now,int l,int r) {
        return SThash(submod(f1[now][r]-1ll*f1[now][l-1]*pw1[now][r-l+1]%mod1,mod1),
                      submod(f2[now][r]-1ll*f2[now][l-1]*pw2[now][r-l+1]%mod2,mod2),
                      submod(f3[now][r]-1ll*f3[now][l-1]*pw3[now][r-l+1]%mod3,mod3));
    }
    void addstring(int now,string s){
        for(int i=1;i<=s.length();i++){
            pw1[now][i]=1ll*pw1[now][i-1]*bs%mod1;
            pw2[now][i]=1ll*pw2[now][i-1]*bs%mod2;
            pw3[now][i]=1ll*pw3[now][i-1]*bs%mod3;
            f1[now][i]=addmod(1ll*f1[now][i-1]*bs%mod1+s[i],mod1);
            f2[now][i]=addmod(1ll*f2[now][i-1]*bs%mod2+s[i],mod2);
            f3[now][i]=addmod(1ll*f3[now][i-1]*bs%mod3+s[i],mod3);
        }
    }
};
const int MX=505;//Store_wagner MX
struct Stoer_Wagner{//init(n) add(fr,to,w) slove()
    int mp[MX][MX],s,t;
    int v[MX],d[MX];
    void init(int n){
        memset(mp,0,sizeof(mp));
    }
    void add(int u,int v,int w){
        mp[u][v]+=w;
        mp[v][u]+=w;
    }
    int solve(int n){
        int i,j,now,ret=inf;
        for(i=0; i<n;i++)v[i]=i;
        while(n>1){
            for(now=0,i=1;i<n;i++)d[v[i]]=0;
            for(i=1;i<n;i++){
                swap(v[now],v[i-1]);
                for(now=j=i; j<n ; j++){
                    d[v[j]] += mp[v[i-1]][v[j]];
                    if(d[v[now]]<d[v[j]]) now = j;
                }
            }
            if(ret>d[v[now]]){
                ret=d[v[now]];
                s=v[now-1];
                t=v[now];
            }
            for(j = 0; j<n; j++)
                mp[v[j]][v[now-1]]=mp[v[now-1]][v[j]]+=mp[v[j]][v[now]];
            v[now]=v[--n];
        }
        return ret;
    }
};
const int V = 1010;//FlowGraph F
const int E = 101000;//FlowGraph E
template<typename T>
struct FlowGraph{//init(s,t,n) add(fr,to,w) dinic() FLOWGragh<type>name
    int s,t,vtot;
    int head[V],etot;
    int dis[V],cur[V];
    struct edge{
        int v,nxt;
        T f;
    }e[E*2];
    void addedge(int u,int v, T f){
        e[etot]={v,head[u],f};head[u]=etot++;
        e[etot]={u,head[v],0};head[v]=etot++;
    }
    bool bfs(){
        for (int i=1;i<=vtot;i++){
            dis[i]=0;
            cur[i]=head[i];
        }
        queue<int> q;
        q.push(s);dis[s]=1;
        while(!q.empty()){
            int u=q.front();q.pop();
            for(int i=head[u];~i;i=e[i].nxt){
                if (e[i].f&&!dis[e[i].v]){
                    int v=e[i].v;
                    dis[v]=dis[u]+1;
                    if (v==t) return true;
                    q.push(v);
                }
            }
        }
        return false;
    }
    T dfs(int u,T m) {
        if(u==t)return m;
        T flow=0;
        for(int i=cur[u];~i;cur[u]=i=e[i].nxt)
            if (e[i].f&&dis[e[i].v]==dis[u]+1){
                T f=dfs(e[i].v,min(m,e[i].f));
                e[i].f-=f;
                e[i^1].f+=f;
                m-=f;
                flow+=f;
                if(!m)break;
            }
        if(!flow)dis[u]=-1;
        return flow;
    }
    T dinic(){
        T flow=0;
        while (bfs())flow+=dfs(s,numeric_limits<T>::max());
        return flow;
    }
    void init(int s_,int t_,int vtot_){
        s=s_;
        t=t_;
        vtot=vtot_;
        etot=0;
        for(int i=1;i<=vtot;i++)head[i]=-1;
    }
};
int gcd(int x, int y){
    x=labs(x);y=labs(y);
    while(y^=x^=y^=x%=y);
    return x;
}
ll qpow(ll x,ll y) {
    ll res = 1;
    while(y) {
        if(y&1)res=res*x%mod;
        x=x*x%mod;
        y>>=1;
    }
    return res;
}
void add(int &x,int y) {
    x+=y;
    if(x>=mod)x-=mod;
}
const int dx[]={1,0,-1,0};
const int dy[]={0,-1,0,1};


void solve() {
    int a,b,c,d,v,t;
    cin>>a>>b>>c>>d>>v>>t;
    if(a<=v||c<=v){
        cout<<t/a*b+t/c*d+b+d-1<<'\n';
        return;
    }
    int lcm=(a*c)/gcd(a,c);
    int cnt=0;
    while(t>=lcm){
        cnt++;
        t-=lcm;
    }
    auto getsum=[&](int x)->pair<int,int>{
        vector<pair<int,int>>ans;
        for(int i=0;a*i<=x;i++)ans.push_back(make_pair(a*i,b));
        for(int i=0;c*i<=x;i++)ans.push_back(make_pair(c*i,d));
        sort(ans.begin(),ans.end());
        int sum=0,now=0;
        for(auto &i:ans){
            if(!i.first){
                sum+=i.second;
                continue;
            }
            if(i.first>now+v)sum+=i.second-1;
            else sum+=i.second;
            now=i.first;
        }
        return ((ans[ans.size()-1].first+v>=(x+1))?make_pair(sum,1):make_pair(sum,0));
    };
    pair<int,int>sum1=getsum(lcm-1);
    pair<int,int>sum2=getsum(t);
    cout<<(sum1.second?(cnt*sum1.first+sum2.first-1):(cnt*sum1.first+sum2.first-(cnt+1)))<<'\n';
}
signed main(){
    ios::sync_with_stdio(false);
    cin.tie(0);
    cout.tie(0);
    //cout << fixed <<setprecision(20);
//    freopen("in.txt","r",stdin);
//    freopen("out.txt","w",stdout);
    int T = 1;
    cin >> T;
    while(T--) {
        solve();
    }
    return 0;
}
/*
*/