#include <bits/stdc++.h>
using namespace std;
#define incII(i, l, r) for(decay_t<decltype(r)> i = (l)    ; i <= (r); i++)
#define incIX(i, l, r) for(decay_t<decltype(r)> i = (l)    ; i <  (r); i++)
#define incXI(i, l, r) for(decay_t<decltype(r)> i = (l) + 1; i <= (r); i++)
#define incXX(i, l, r) for(decay_t<decltype(r)> i = (l) + 1; i <  (r); i++)
#define decII(i, l, r) for(decay_t<decltype(r)> i = (r)    ; i >= (l); i--)
#define decIX(i, l, r) for(decay_t<decltype(r)> i = (r) - 1; i >= (l); i--)
#define decXI(i, l, r) for(decay_t<decltype(r)> i = (r)    ; i >  (l); i--)
#define decXX(i, l, r) for(decay_t<decltype(r)> i = (r) - 1; i >  (l); i--)
#define inc(i, n)  incIX(i, 0, n)
#define dec(i, n)  decIX(i, 0, n)
#define inc1(i, n) incII(i, 1, n)
#define dec1(i, n) decII(i, 1, n)
auto inII = [](auto a, auto l, auto r) -> bool { return (l <= a && a <= r); };
auto inIX = [](auto a, auto l, auto r) -> bool { return (l <= a && a <  r); };
auto inXI = [](auto a, auto l, auto r) -> bool { return (l <  a && a <= r); };
auto inXX = [](auto a, auto l, auto r) -> bool { return (l <  a && a <  r); };
auto setmin   = [](auto & a, auto b) -> bool { return (b <  a ? a = b, true : false); };
auto setmax   = [](auto & a, auto b) -> bool { return (b >  a ? a = b, true : false); };
auto setmineq = [](auto & a, auto b) -> bool { return (b <= a ? a = b, true : false); };
auto setmaxeq = [](auto & a, auto b) -> bool { return (b >= a ? a = b, true : false); };
using LL = long long int;
using LD = long double;
#define PB push_back
#define EB emplace_back
#define MP make_pair
#define MT make_tuple
#define FI first
#define SE second
#define FR front()
#define BA back()
#define ALL(a) begin(a), end(a)
#define RALL(a) rbegin(a), rend(a)
#define RV(a) reverse(ALL(a))
#define ST(a) sort(ALL(a))
#define RST(a) sort(RALL(a))
#define SC static_cast
#define SI(a) SC<int>(a.size())
#define SL(a) SC<LL>(a.size())
#define RF(e, ...) for(auto && e: __VA_ARGS__)
#define SF(a, ...) for(auto && [__VA_ARGS__]: a)
#define until(...) while(not(__VA_ARGS__))
#define if_not(...) if(not(__VA_ARGS__))
#define ef else if
#define UR assert(false)
template<typename A>             istream & operator>>(istream & is, vector<A>          & v);
template<typename A>             ostream & operator<<(ostream & os, vector<A>    const & v);
template<typename A, size_t N>   istream & operator>>(istream & is, array<A, N>        & a);
template<typename A, size_t N>   ostream & operator<<(ostream & os, array<A, N>  const & a);
template<typename A, typename B> istream & operator>>(istream & is, pair<A, B>         & p);
template<typename A, typename B> ostream & operator<<(ostream & os, pair<A, B>   const & p);
template<typename ... A>         istream & operator>>(istream & is, tuple<A ...>       & t);
template<typename ... A>         ostream & operator<<(ostream & os, tuple<A ...> const & t);
template<int I = 0, typename T> void tin_ (istream & is, T       & t) { if constexpr(I < tuple_size<T>::value) { is >> get<I>(t); tin_<I + 1>(is, t); } }
template<int I = 0, typename T> void tout_(ostream & os, T const & t) { if constexpr(I < tuple_size<T>::value) { if(I != 0) { os << " "; } os << get<I>(t); tout_<I + 1>(os, t); } }
template<typename A>             istream & operator>>(istream & is, vector<A>          & v) { for(auto && e: v) { is >> e; } return is; }
template<typename A>             ostream & operator<<(ostream & os, vector<A>    const & v) { string ss; for(auto && e: v) { os << ss << e; ss = " "; } return os; }
template<typename A, size_t N>   istream & operator>>(istream & is, array<A, N>        & a) { for(auto && e: a) { is >> e; } return is; }
template<typename A, size_t N>   ostream & operator<<(ostream & os, array<A, N>  const & a) { string ss; for(auto && e: a) { os << ss << e; ss = " "; } return os; }
template<typename A, typename B> istream & operator>>(istream & is, pair<A, B>         & p) { return is >> p.first >> p.second; }
template<typename A, typename B> ostream & operator<<(ostream & os, pair<A, B>   const & p) { return os << p.first << " " << p.second; }
template<typename ... A>         istream & operator>>(istream & is, tuple<A ...>       & t) { tin_ (is, t); return is; }
template<typename ... A>         ostream & operator<<(ostream & os, tuple<A ...> const & t) { tout_(os, t); return os; }
auto * IS = & cin;
auto * OS = & cout;
template<typename ... A> void in(A & ... a) { (* IS >> ... >> a); }
#define IN(...) __VA_ARGS__; in(__VA_ARGS__)
template<typename A                > auto make_v(A a) { return a; }
template<typename A, typename ... M> auto make_v(A a, int n, M ... m) { return vector(n, make_v(a, m ...)); }
template<typename A, typename ... N> auto read_v(N ... n) { auto a = make_v(A { }, n ...); in(a); return a; }
void                                      out_([[maybe_unused]] string const & s) { }
template<typename A                > void out_([[maybe_unused]] string const & s, A const & a) { * OS << a; }
template<typename A, typename ... B> void out_(                 string const & s, A const & a, B const & ... b) { * OS << a << s; out_(s, b ...); }
auto outF  = [](string const & s, string const & t, auto const & ... a) { out_(s, a ...); * OS << t << flush; };
auto outN  = [](auto const & ... a) { outF(""  , ""  , a ...); };
auto outS  = [](auto const & ... a) { outF(" " , " " , a ...); };
auto outL  = [](auto const & ... a) { outF("\n", "\n", a ...); };
auto outSN = [](auto const & ... a) { outF(" " , ""  , a ...); };
auto outNL = [](auto const & ... a) { outF(""  , "\n", a ...); };
auto outSL = [](auto const & ... a) { outF(" " , "\n", a ...); };
auto out   = outSL;
template<typename A                > void disp_(A const & a) { * OS << a; }
template<typename A, typename ... T> void disp_(A const & a, string const & s, T const & ... t) { string ss; for(auto && e: a) { * OS << ss; ss = s; disp_(e, t ...); } }
auto dispI = [](auto const & a, auto const & s, auto const & ... t) { disp_(a, t ...); * OS << s << flush; };
auto dispT = [](auto const & a, auto const & s, auto const & ... t) { for(auto && e: a) { disp_(e, t ...); * OS << s; } * OS << flush; };
auto dispL = [](auto const & a,                 auto const & ... t) { dispT(a, "\n", t ...); };
struct OS_init { OS_init() { * OS << boolalpha << fixed << setprecision(20); } } os_init_;

// ---- ----

template<int N> class DynModInt {
private:
	static LL M;
	LL v;
	pair<LL, LL> ext_gcd(LL a, LL b) {
		if(b == 0) { assert(a == 1); return { 1, 0 }; }
		auto p = ext_gcd(b, a % b);
		return { p.SE, p.FI - (a / b) * p.SE };
	}
public:
	DynModInt() { v = 0; }
	DynModInt(LL vv) { assert(M > 0); v = vv; if(abs(v) >= M) { v %= M; } if(v < 0) { v += M; } }
	static LL & mod() { return M; }
	LL val() { return v; }
	DynModInt inv() { return ext_gcd(M, v).SE; }
	DynModInt exp(LL b) {
		DynModInt p = 1, a = v; if(b < 0) { a = a.inv(); b = -b; }
		while(b) { if(b & 1) { p *= a; } a *= a; b >>= 1; }
		return p;
	}
	friend bool        operator< (DynModInt   a, DynModInt   b) { return (a.v <  b.v); }
	friend bool        operator> (DynModInt   a, DynModInt   b) { return (a.v >  b.v); }
	friend bool        operator<=(DynModInt   a, DynModInt   b) { return (a.v <= b.v); }
	friend bool        operator>=(DynModInt   a, DynModInt   b) { return (a.v >= b.v); }
	friend bool        operator==(DynModInt   a, DynModInt   b) { return (a.v == b.v); }
	friend bool        operator!=(DynModInt   a, DynModInt   b) { return (a.v != b.v); }
	friend DynModInt   operator+ (DynModInt   a               ) { return DynModInt(+a.v); }
	friend DynModInt   operator- (DynModInt   a               ) { return DynModInt(-a.v); }
	friend DynModInt   operator+ (DynModInt   a, DynModInt   b) { return DynModInt(a.v + b.v); }
	friend DynModInt   operator- (DynModInt   a, DynModInt   b) { return DynModInt(a.v - b.v); }
	friend DynModInt   operator* (DynModInt   a, DynModInt   b) { return DynModInt(a.v * b.v); }
	friend DynModInt   operator/ (DynModInt   a, DynModInt   b) { return a * b.inv(); }
	friend DynModInt   operator^ (DynModInt   a, LL          b) { return a.exp(b); }
	friend DynModInt & operator+=(DynModInt & a, DynModInt   b) { return (a = a + b); }
	friend DynModInt & operator-=(DynModInt & a, DynModInt   b) { return (a = a - b); }
	friend DynModInt & operator*=(DynModInt & a, DynModInt   b) { return (a = a * b); }
	friend DynModInt & operator/=(DynModInt & a, DynModInt   b) { return (a = a / b); }
	friend DynModInt & operator^=(DynModInt & a, LL          b) { return (a = a ^ b); }
	friend istream   & operator>>(istream   & s, DynModInt & b) { s >> b.v; b = DynModInt(b.v); return s; }
	friend ostream   & operator<<(ostream   & s, DynModInt   b) { return (s << b.v); }
};
template<int N> LL DynModInt<N>::M = 0;

// ----

const int MOD = 1'000'000'007;

using DMI = DynModInt<0>;

auto fl = [](auto a, auto b) { assert(b != 0); return a / b - (a % b != 0 && ((a >= 0) != (b >= 0)) ? 1 : 0); };
auto ce = [](auto a, auto b) { assert(b != 0); return a / b + (a % b != 0 && ((a >= 0) == (b >= 0)) ? 1 : 0); };

int main() {
	int IN(t);
	inc(tt, t) {
		array<LL, 3> IN(A);
		LL IN(s);
		sort(ALL(A));
		auto [a, b, c] = A;
		
		LL g = gcd(a, b);
		a /= g;
		b /= g;
		DMI::mod() = a;
		LL b_inv = (DMI(1) / b).val();
		LL ans = 0;
		incII(i, 0, s / c) {
			if((s - c * i) % g != 0) { continue; }
			LL x = (s - c * i) / g;
			LL y = x * b_inv % a;
			ans += max(fl(x - y * b, a * b) + 1, 0LL);
		}
		out(ans % MOD);
	}
}