#include <iostream>

using namespace std;

string largerString(string a, string b) {
	int idxa = 0;
	int idxb = 0;
	while (idxa<a.size() && a[idxa] == '0') {
		idxa++;
	}
	while (idxb < b.size() && b[idxb] == '0') {
		idxb++;
	}
	a.erase(0, idxa);
	b.erase(0, idxb);
	if (a.size() > b.size()) return a;
	else if (b.size() > a.size()) return b;
	else {
		for (size_t i = 0; i < a.size(); i++)
		{
			if (a[i] > b[i]) return a;
			if (b[i] > a[i]) return b;
		}
	}
	return a;
}
bool validString(string s) {
	for (size_t i = 0; i < s.size(); i++)
	{
		if (s[i] != '0') return true;
	}
	return false;
}
string RemoveWorstChar(string input, int divBranch) {
	int changeVal1 = -10;
	int lr1 = 100'001;
	int lr1Index = -1;
	for (size_t j = 0; j < input.size(); j++)
	{
		int val = input[j] - '0';
		if (val % 3 == divBranch) {
			if (j == input.size() - 1) {
				if (changeVal1 < 0) {
					lr1 = 1;
					lr1Index = j;
					changeVal1 = 0;
				}
			}
			for (size_t k = j + 1; k < input.size(); k++)
			{
				if (j > 0 || input[k] != '0') {
					int curlr = k - j;
					int curCV = input[k] - input[j];
					if (curlr == 1 && curCV > 0) {
						changeVal1 = curCV;
						lr1 = 1;
						lr1Index = j;
						j = input.size();
						k = input.size();
					}
					else if (curlr < lr1) {
						lr1 = curlr;
						changeVal1 = curCV;
						lr1Index = j;
					}
					else if (curlr == lr1 && curCV >= changeVal1) {
						changeVal1 = curCV;
						lr1Index = j;
					}
					break;
				}
				else if (k == input.size() - 1 && lr1 == 100'001) return "0";
			}
		}
		//cout << lr1Index << " " << changeVal1 << " " << lr1 << "\n";
	}
	if (lr1 != 100'001) {
		input.erase(lr1Index, lr1);
	}
	return input;
}

int main()
{
	int a;
	cin >> a;
	for (size_t i = 0; i < a; i++)
	{
		string input;
		cin >> input;
		int inpSum = 0;
		int oneLeft = 0;
		int twoLeft = 0;
		for (size_t j = 0; j < input.size(); j++)
		{
			inpSum += input[j] - '0';
			if (input[j] % 3 == 1) oneLeft++;
			else if (input[j] % 3 == 2) twoLeft++;
		}
		inpSum %= 3;
		// 0
		if (inpSum == 0) {
			cout << input << "\n";
			continue;
		}
		// 1
		if (inpSum == 1) {
			string res1 = "0";
			string res2 = "0";
			if (oneLeft > 0) {
				res1 = RemoveWorstChar(input, 1);
			}
			//1.2
			if (twoLeft > 1 && input.size()-res1.size()>1) {
				res2 = RemoveWorstChar(input, 2);
				res2 = RemoveWorstChar(res2, 2);
			}
			string sol = largerString(res1, res2);
			if (validString(sol)) cout << sol << "\n";
			else cout << "-1\n";
		}
		// 2
		if (inpSum == 2) {
			string res1 = "0";
			string res2 = "0";
			if (twoLeft > 0) {
				res1 = RemoveWorstChar(input, 2);
			}
			//1.2
			if (oneLeft > 1 && input.size() - res1.size() > 1) {
				res2 = RemoveWorstChar(input, 1);
				res2 = RemoveWorstChar(res2, 1);
			}
			string sol = largerString(res1, res2);
			if (validString(sol)) cout << sol << "\n";
			else cout << "-1\n";
		}
	}
}