= -8/15 - -767/1410. Let d = c + -1697/470. Suppose -q = -5, 0*l + 100 = 5*l - 2*q. What is the common denominator of l and d?
5
What is the common denominator of ((-711)/24 + -11)*(-2)/10 and (-34)/(-48)*(-12)/(-9)?
72
Let k(c) = 3*c + 1. Let m be k(-1). Calculate the common denominator of (-7)/(-11) - (-2)/m and (-138)/(-8) - 2 - -1.
44
Suppose 0*y - 4*y = -5752. Suppose 0 = -4*s + 194 + y. Let f = 1282/3 - s. Calculate the common denominator of f and 47/2.
6
Suppose -a + 21 = -1. What is the lowest common multiple of a and 10?
110
Let p be (-7922)/670 + (-5)/(-25). Let s = 15/67 + p. Calculate the common denominator of s and -15/2.
10
Suppose -q + 4*n + 5 = -43, q + 4*n - 40 = 0. Suppose -u = u - q. Let c = -13 + 25. What is the smallest common multiple of u and c?
132
Let d be 522/(-2056) - 2/(-8). Let z = 4366/771 - d. Find the common denominator of z and 194/(-4)*(-1)/(-4).
24
Let t be ((-6)/236)/(2*3). Let x = -1799/118 + t. Calculate the common denominator of x and (-2)/(-5) + (-197)/(-20).
4
Suppose 0 = -c + 5*r + 7532177, -2*r + 18249014 - 3184660 = 2*c. Let v = 6477676293/860 - c. Let w = v + 11/172. What is the common denominator of w and -1/10?
10
Let d(h) = -h**2 - h. Let g be d(0). Suppose g*b - 12 = -b. Calculate the smallest common multiple of b and 4.
12
Let m be 1/(1 - (-1 + 1)). Let r be m/(-3) - 1832/(-150). Let y = r + -779/175. Find the common denominator of -7/11 and y.
77
Let r(z) = z**3 + 3*z**2 - 4*z + 1. Let w = -12 - -8. Calculate the lowest common multiple of r(w) and 11.
11
Let o = -56222/9 + 6253. Calculate the common denominator of o and 1*-1 - 50/(-7).
63
Let q be 15/10*28/6. Let p = -5 + q. What is the smallest common multiple of p and 2?
2
Let d = -262261/15582 - 6/2597. Calculate the common denominator of -19/24 and d.
24
Let a be (2/(-4))/(3/(-36)). What is the common denominator of 20/192 - (-2)/(-3) and 154/a*(-1)/(-4)?
48
Calculate the lowest common multiple of 4 and (-196)/(-16) + (-2)/8.
12
Let i = -2/223917 - 15002099/38065890. What is the common denominator of -101/16 and i?
1360
Suppose u + 5 + 4 = -s, -4*s + 12 = -4*u. Let d(z) = -2*z + 8. Calculate the lowest common multiple of 20 and d(u).
20
Suppose 5*b = 79 + 16. Suppose 5 - b = -g. What is the least common multiple of g and 4?
28
Suppose -c = s - 4*s + 9, 0 = 5*c - 3*s - 3. Suppose w = 2*t + 2, c*t + 5 + 3 = 4*w. Suppose t = 3*i - i - 2. Calculate the smallest common multiple of 8 and i.
8
Let t(f) = 15*f. What is the smallest common multiple of t(1) and 55?
165
Let f = 27 + -19. Calculate the lowest common multiple of f and 6.
24
Let h be (-1452)/(-28) + 1/7. Let q = -12 + h. Find the common denominator of 124/q - 4/2 and -40/7.
70
Let p = -34 - -39. What is the least common multiple of p and 3?
15
Let v = -4429/3 - -1453. What is the common denominator of -81/4 and v?
12
Let h(p) = p - 5. Suppose -3*q = -0 - 9. Suppose -q*c + 42 = -0*c. Calculate the least common multiple of h(9) and c.
28
Suppose x = -3*x + 24. Suppose -3*z - x = -6*z. Suppose -3 = -z*w + 5. Calculate the least common multiple of w and 18.
36
Let t(m) = 2*m + 22. Suppose -b + 22 = -2*d, 5*b + 6 = -3*d - 1. Calculate the smallest common multiple of t(d) and 6.
12
Let z(p) = p**2 - 6*p + 3. Let s be z(3). Calculate the common denominator of -125/6 and (-202)/(-8)*s/(-27).
18
Let u be (-29896)/28*(-2)/(-8). Let w = 274 + u. Find the common denominator of w and 61/6.
42
Suppose -5*z + 11 = 4*q, z + 3*q = 5*q - 9. Let b be 1/(z + 21/18). Suppose 0 = -2*h + b*h - 56. Calculate the smallest common multiple of 18 and h.
126
Let s = -4 - -4. Let x = s + 7. Suppose -2*n + 11 = -3. What is the smallest common multiple of x and n?
7
Suppose 3*i - 8 = 3*b + 10, -5*i - 4*b - 6 = 0. Suppose -6*o + 2*o + 80 = 0. Calculate the smallest common multiple of i and o.
20
Suppose 9*x - 4*x - 40 = 0. Let w be 13/4 + (-2)/x. What is the lowest common multiple of 7 and 2 - (-1 - 1)*w?
56
Let o = -17760 + 355099/20. Suppose r - 4*r - 594 = 0. Find the common denominator of r/32 - (2 - 4) and o.
80
Suppose -i - 2*q = q - 3, -10 = -2*i - 2*q. Let s = 2 + 6. Suppose -p + 2*p - s = 0. What is the least common multiple of i and p?
24
Let w = 45/37 + 1041/148. Calculate the common denominator of 91/20 and w.
20
Let x = 1105/2 - 3823/7. What is the common denominator of -3 - (-4 + -2 + 89/(-2)) and x?
14
Suppose 5*f - 7 = -3*d + 9, -f + d = 0. Suppose 2*p - 2 + 8 = f*j, -5*p + 41 = 2*j. Calculate the least common multiple of ((-3)/9)/(1/(-24)) and j.
8
Calculate the common denominator of (-1)/2 + 202/(-12) and -21/11.
33
Let a = -162/167741 - -4122521/11550166. Let i = a - -2/1687. Let n = 16249/3965 - -3/1586. Calculate the common denominator of n and i.
70
Suppose -5*g = -6 - 114. Calculate the least common multiple of 6 and g.
24
Suppose 0 = -5*v - o - 914, v - 5*v + 3*o - 716 = 0. Calculate the common denominator of 7/9 and (v/(-8))/(15/15).
36
Find the common denominator of (1/(-2))/(-1) + -42 and -69/2.
2
Let i = 27 - 13. Let m = 18 - i. Calculate the smallest common multiple of m and 4.
4
What is the smallest common multiple of 4 and -11 + 10 + 22 + -1?
20
Let y be 0 - (-6)/(-3) - -17. Calculate the common denominator of 1/3 - 194/60 and 0 + ((-108)/y)/(-4).
10
Let m(h) = -2*h + 22. Calculate the least common multiple of 10 and m(5).
60
Let k be (-1)/(-1 + (3 - 1)). Let d(i) = -3*i - 1. What is the lowest common multiple of d(k) and 1?
2
Let m(r) = 2*r**2 + r - 2. Suppose 2*y + 4 = -0. Let z be m(y). What is the least common multiple of 7 and (z/(-10))/(6/(-150))?
70
Let p = -1877/8 - -235. What is the common denominator of (-4416)/(-240)*((-5)/2)/5 and p?
40
Let a be (56/(-6))/(547/3). Let g = a + -55079/3282. What is the common denominator of g and 42/5?
30
Suppose p - 5 = -4. Calculate the lowest common multiple of (25/10)/((-15)/(-36)) and p.
6
Let q be 160842/(-55) + (-2)/(-5). Let f = q - -67266/23. What is the common denominator of f and -11/9?
207
Let o(t) = -2*t**2 + 2 + 4*t**2 + 4*t - 3*t - 3. Let b be o(1). Find the common denominator of 14/3 and (-388)/(-144) - b/8.
9
Let x(n) = -n**3 + 3*n**2 + 2*n - 4. Let t be x(3). Suppose 5*q + 23 = o, 5*o + 0*q - 196 = -t*q. What is the lowest common multiple of 6 and o?
114
Let w be (-18375)/19734 + 1 - 2. Let q = -7/299 + w. Calculate the common denominator of 37/12 and q.
132
Calculate the smallest common multiple of 4 and -2 - -4 - (-1)/1.
12
Suppose -19*n - 136 = -402. Let k(s) = -4*s - 1. What is the least common multiple of n and k(-3)?
154
Let n(i) = -4263*i + 3. Let r be n(2). Let x = r - -170549/20. What is the common denominator of x and -44*1 + 1/2?
20
Let v = 171/4 - 1329/28. Let y be 14/272 - (-1 - -1). Let w = -1741/136 + y. Find the common denominator of v and w.
28
Suppose 2*z = -0 + 18. Suppose -41 = 5*m + z. Find the common denominator of m/25 + 934/60 and 143/18.
18
Let w(f) = -f**2 - 5*f + 3. Let t be w(-5). Suppose t*a - 10 = z, a = 2*z - 6 + 16. Calculate the smallest common multiple of 22 and a.
22
What is the lowest common multiple of 63 and (-2)/(-8)*4 + 26?
189
Suppose -3*j + 7*j = -4. Let n(p) = -2*p**3 - p**2. Let y(h) = h**3 - 6*h**2 + 6*h - 2. Calculate the lowest common multiple of y(5) and n(j).
3
Let v(c) = 10*c**2 - 2*c - 10. Let p be v(9). Find the common denominator of (-2)/5 + p/180 and (127/44 - 1)*-2.
198
What is the common denominator of -51/16 and 4/6 + 238/48?
16
Find the common denominator of ((-1595)/60)/(-11) - 1 and 7/18.
36
Let q(b) = b - 6. Let z be q(4). Let i = 2/2613 - -56611/5226. What is the common denominator of (-69)/6 - 1*z and i?
6
Let y = 39329/10 + -7687/2. Let i = y + -931/10. Calculate the common denominator of i and (-3)/16*(-38 + 0).
40
Let l = -317/990 - -2/99. Calculate the common denominator of l and ((-14)/8)/(9/4).
90
Let f(b) = -b**2 - 6*b + 8. Let z = -5 - 1. Let n(t) = -2*t - 4. Calculate the smallest common multiple of f(z) and n(-6).
8
Suppose -18 = -4*d + 2*q, d - 2*q - 3 = -0*q. Suppose 0 = d*l - 3*l - 12. Calculate the least common multiple of l and 10.
30
Let v = 1645/24 + -72. What is the common denominator of v and -127/12?
24
What is the common denominator of ((-1)/(-5))/(2*4/(-94)) and 53/6?
60
What is the common denominator of -67/12 and (-10)/(-8)*464/(-24)?
12