from math import gcd

max_d = 132

def solve():
    a, b, c = map(int, input().split())
    assert 1 <= a <= 10 ** 40
    assert 1 <= b <= 10 ** 40
    assert 2 <= c <= 10 ** 40

    assert gcd(a, c) <= 2 ** 64

    def check(p, q):
        return a ** p % c ** q == 0
    
    if not check(max_d, 1):
        print(0)
        return

    def search():
        l = 0, 1
        u = 1, 0
        while True:
            now = check(l[0] + u[0], l[1] + u[1])
            f = u if now else l
            t = l if now else u
            k = 1
            while check(f[0] + k * 2 * t[0], f[1] + k * 2 * t[1]) == now:
                k *= 2
                if max(f[0] + k * t[0], f[1] + k * t[1]) > max_d:
                    return t
            ok = k
            ng = k * 2
            while ok + 1 < ng:
                mid = (ok + ng) // 2
                if check(f[0] + mid * t[0], f[1] + mid * t[1]) == now:
                    ok = mid
                else:
                    ng = mid
            f = f[0] + ok * t[0], f[1] + ok * t[1]
            if now:
                u = f
            else:
                l = f

    p, q = search()
    print(b * q // p % 998244353)

t = int(input())
assert 1 <= t <= 100
for _ in range(t):
    solve()