'''import sys

from numpy.core.defchararray import count

for line in sys.stdin:
    a = line.split()
    print(int(a[0]) + int(a[1]))'''

t=int(input())
for i in range(t):
    ls=[]
    str1=input()
    if len(str1)==0:
        print(str1)
    for j in str1:
        if j==')' and len(ls)!=0:
            ls.pop()
        else:
            ls.append(j)
    coun=len(ls)
    if coun%2!=0:
        print(-1)
    elif len(str1)==2:
        print('()') 
    else:
        print('There are multiple solutions')