using System;
using static System.Console;
using System.Linq;
using System.Collections.Generic;

class Program
{
    static int NN => int.Parse(ReadLine());
    static long[] NList => ReadLine().Split().Select(long.Parse).ToArray();
    public static void Main()
    {
        Solve();
    }
    static void Solve()
    {
        var t = NN;
        var ans = new long[t];
        for (var u = 0; u < t; ++u)
        {
            var c = NList;
            ans[u] = Count(c[0], c[1], c[2], c[3]);
        }
        WriteLine(string.Join("\n", ans));
    }
    static long Count(long n, long k, long h, long y)
    {
        if (h >= n && h >= k) return Count2(n, k, h, y);
        if (n >= k && n >= h) return Count2(k, h, n, y);
        return Count2(h, n, k, y);
    }
    static long Count2(long n, long k, long h, long y)
    {
        var ans = 0L;
        var mod = 1_000_000_007;
        var g = XGcd(n, k);
        var da = k / g.g;
        var db = n / g.g;
        for (var c = 0L; c * h <= y; ++c)
        {
            var p = y - c * h;
            if (p % g.g == 0)
            {
                var a = g.x * (p / g.g);
                var b = g.y * (p / g.g);
                if (a < 0)
                {
                    var d = (-a + da - 1) / da * da;
                    a += d;
                    b -= d / da * db;
                }
                else if (b < 0)
                {
                    var d = (-b + db - 1) / db * db;
                    a -= d / db * da;
                    b += d;
                }
                if (a >= 0 && b >= 0)
                {
                    ans = (ans + a / da + b / db + 1) % mod;
                }
            }
        }
        return ans;
    }
    static long GCD(long a, long b)
    {
        if (a < b) return GCD(b, a);
        if (a % b == 0) return b;
        return GCD(b, a % b);
    }
    // 拡張ユークリッド互除法 ax + by = gcd(a, b) を満たす x, y を求める
    public static (long g, long x, long y) XGcd(long a, long b)
    {
        long x0 = 1, y0 = 0, x1 = 0, y1 = 1;
        while (b != 0)
        {
            var q = a / b;
            var prevA = a;
            a = b;
            b = prevA % b;
            var prevX0 = x0;
            var prevY0 = y0;
            x0 = x1;
            x1 = prevX0 - q * x1;
            y0 = y1;
            y1 = prevY0 - q * y1;
        }
        return (a, x0, y0);
    }
}