import sys from math import gcd input() m = lambda: {'x': 0, 'y': 0, 'c': 0} for l in sys.stdin: if not l.strip(): print(); continue eq1, eq2 = l.strip(), input().strip() (l1, r1), (l2, r2) = eq1.split(' = '), eq2.split(' = ') tl1, tr1, tl2, tr2 = ['+'] + l1.split(), ['+'] + r1.split(), ['+'] + l2.split(), ['+'] + r2.split() cl1, cr1, cl2, cr2 = m(), m(), m(), m() for (c, tt) in ((cl1, tl1), (cr1, tr1), (cl2, tl2), (cr2, tr2)): for i, t in enumerate(tt): if i % 2: if t[-1] in 'xy': c[t[-1]] += (1 if tt[i-1] == '+' else -1) * int((t[:-1] or 1) if t[:-1] != '-' else -1) else: c['c'] += (1 if tt[i-1] == '+' else -1) * int(t) a, b, c, d, e, f = cl1['x']-cr1['x'], cl1['y']-cr1['y'], cr1['c']-cl1['c'], cl2['x']-cr2['x'], cl2['y']-cr2['y'], cr2['c']-cl2['c'] nx, dx, ny, dy = c*e-b*f, a*e-b*d, c*d-a*f, b*d-a*e gx, gy = gcd(nx, dx), gcd(ny, dy) if gx: nx //= gx dx //= gx if ny: ny //= gy dy //= gy if dx < 0: nx, dx = -nx, -dx if dy < 0: ny, dy = -ny, -dy if dx == 0: x = "don't know" elif nx % dx == 0: x = str(nx//dx) else: x = f'{nx}/{dx}' if dy == 0: y = "don't know" elif ny % dy == 0: y = str(ny//dy) else: y = f'{ny}/{dy}' # might redetermine x and y if a == b == 0 or (a, b, c) == (d, e, f): if d == 0 and e != 0: if f % e == 0: y = str(f//e) else: y = f'{f}/{e}' if e == 0 and d != 0: if f % d == 0: x = str(f//d) else: x = f'{f}/{d}' if d == e == 0: if a == 0 and b != 0: if c % b == 0: y = str(c//b) else: y = f'{c}/{b}' if b == 0 and a != 0: if c % a == 0: x = str(c//a) else: x = f'{c}/{a}' if a == b == 0 != c or d == e == 0 != f: x = y = "don't know" print(x) print(y)