/*
このコード、と～おれ!
Be accepted!
∧＿∧　
（｡･ω･｡)つ━☆・*。
⊂　　 ノ 　　　・゜+.
　しーＪ　　　°。+ *´¨)
 　　　　　　　　　.· ´¸.·*´¨) ¸.·*¨)
          　　　　　　　　　　(¸.·´ (¸.·'* ☆
*/

#include <cstdio>
#include <algorithm>
#include <string>
#include <cmath>
#include <cstring>
#include <vector>
#include <numeric>
#include <iostream>
#include <random>
#include <map>
#include <unordered_map>
#include <queue>
#include <regex>
#include <functional>
#include <complex>
#include <list>
#include <cassert>
#include <iomanip>
#include <set>
#include <stack>
#include <bitset>
#include <array>
#include <chrono>

//#pragma GCC target("arch=skylake-avx512")
#pragma GCC target("avx2")
//#pragma GCC optimize("O3")
#pragma GCC optimize("Ofast")
#pragma GCC target("sse4")
#pragma GCC optimize("unroll-loops")
//#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")
#define repeat(i, n, m) for(int i = n; i < (m); ++i)
#define rep(i, n) for(int i = 0; i < (n); ++i)
#define printynl(a) printf(a ? "yes\n" : "no\n")
#define printyn(a) printf(a ? "Yes\n" : "No\n")
#define printYN(a) printf(a ? "YES\n" : "NO\n")
#define printim(a) printf(a ? "possible\n" : "imposible\n")
#define printdb(a) printf("%.50lf\n", a)
#define printLdb(a) printf("%.50Lf\n", a)
#define printdbd(a) printf("%.16lf\n", a)
#define prints(s) printf("%s\n", s.c_str())
#define all(x) (x).begin(), (x).end()
#define deg_to_rad(deg) (((deg)/360.0L)*2.0L*PI)
#define rad_to_deg(rad) (((rad)/2.0L/PI)*360.0L)
#define Please return
#define AC 0
#define manhattan_dist(a, b, c, d) (abs(a - c) + abs(b - d))

using ll = long long;
using ull = unsigned long long;

constexpr int INF = 1073741823;
constexpr int MINF = -1073741823;
constexpr ll LINF = ll(4661686018427387903);
constexpr ll MOD = 1e9 + 7;
constexpr ll mod = 998244353;
constexpr long double eps = 1e-6;
const long double PI = acosl(-1.0L);

using namespace std;

void scans(string& str) {
    char c;
    str = "";
    scanf("%c", &c);
    if (c == '\n')scanf("%c", &c);
    while (c != '\n' && c != -1 && c != ' ') {
        str += c;
        scanf("%c", &c);
    }
}

void scanc(char& str) {
    char c;
    scanf("%c", &c);
    if (c == -1)return;
    while (c == '\n') {
        scanf("%c", &c);
    }
    str = c;
}

double acot(double x) {
    return PI / 2 - atan(x);
}

ll LSB(ll n) { return (n & (-n)); }

template<typename T>
inline T chmin(T& a, const T& b) {
    if (a > b)a = b;
    return a;
}

template<typename T>
inline T chmax(T& a, const T& b) {
    if (a < b)a = b;
    return a;
}

//cpp_int
#if __has_include(<boost/multiprecision/cpp_int.hpp>)
#include <boost/multiprecision/cpp_int.hpp>
#include <boost/multiprecision/cpp_dec_float.hpp>
using namespace boost::multiprecision;
#else
using cpp_int = ll;
#endif

//atcoder library
#if __has_include(<atcoder/all>)
#include <atcoder/all>
//using namespace atcoder;
#endif

/*
    random_device seed_gen;
    mt19937 engine(seed_gen());
    uniform_int_distribution dist(1, 100);
*/


/*----------------------------------------------------------------------------------*/



vector< int64_t > divisor(int64_t n) {
    vector< int64_t > ret;
    for (int64_t i = 1; i * i <= n; i++) {
        if (n % i == 0) {
            ret.push_back(i);
            if (i * i != n) ret.push_back(n / i);
        }
    }
    sort(begin(ret), end(ret));
    return (ret);
}

ll sq(ll n) {
    ll ng = 0, ok = 3 * 1e9;
    while (abs(ng - ok) > 1) {
        ll mid = (ok + ng) / 2;
        if (mid * mid >= n)ok = mid;
        else ng = mid;
    }
    if (ok * ok == n)return ok;
    else return -1;
}

bool ok(ll a, ll b, ll c, ll S) {
    __int128 ss = S, s = a + b + c;
    ss *= ss * 16;
    s *= -a + b + c;
    s *= a - b + c;
    s *= a + b - c;
    return (s == ss);
}

int main() {

    int T;
    scanf("%d", &T);
    while (T--) {
        ll s, t, S;
        scanf("%lld%lld", &s, &t);
        S = s;
        s *= 2;
        vector<ll> ddd, d;
        {
            auto dd = divisor(s);
            for (const auto& p : dd) {
                for (const auto& q : dd) {
                    ddd.push_back(p * q);
                }
            }
        }
        s = s * s;
        if (s % t) {
            puts("-1 -1 -1");
            continue;
        }
        s /= t;
        for (const auto& aa : ddd) {
            d.push_back((aa % t) ? aa : aa / t);
        }
        sort(all(d));
        d.erase(unique(all(d)), d.end());
        ll a = -1, b = -1, c = -1, x = 0, y = 0, z = 0;
        for (const auto& aa : d) {
            ll k = s / aa, r = t - 2 * aa;
            x = aa;
            if (r <= 0 or r * r - 8 * k < 0)continue;
            ll p = sq(r * r - 8 * k);
            if (p == -1)continue;
            if ((r - p) > 0 and (r - p) % 4 == 0) {
                y = (r - p) / 4;
                z = t - 2 * x - 2 * y;
                if (z % 2)continue;
                else z /= 2;
                if (not ok(z + x, x + y, y + z, S))continue;
                a = y + z;
                b = z + x;
                c = x + y;
            }
            if ((r + p) > 0 and (r + p) % 4 == 0) {
                y = (r + p) / 4;
                z = t - 2 * x - 2 * y;
                if (z % 2)continue;
                else z /= 2;
                if (not ok(z + x, x + y, y + z, S))continue;
                a = y + z;
                b = z + x;
                c = x + y;
            }
        }
        printf("%lld %lld %lld\n", a, b, c);
    }

    Please AC;
}