Suppose j - 54 = 2*x - x, 5*j - 4*x - 270 = 0. Let u = 566/135 + -16/27. Find the common denominator of u and 0 - 0 - 330/j.
45
Suppose -2*j + 4 = 0, -u - 4*j - 3 = -14. What is the smallest common multiple of u and 5?
15
Let s(f) = 7*f**2 - 2*f + 1. Let r be s(1). Let c(z) = 4*z + z**3 + 6 + 8*z - 5*z + r*z**2. What is the least common multiple of c(-4) and 4?
20
Suppose 3*i + 3*f - 11 - 10 = 0, -3*i - 4*f = -20. What is the least common multiple of i and 16?
16
Find the common denominator of 2/4*((-57)/(-4))/(-3) and 172/(-18)*(-1)/(-4).
72
Let p = 924 + -8339/9. What is the common denominator of -50/7 and p?
63
Find the common denominator of 133/(-48) + 6/(-9) and 151/(-6) - (-1)/(-3).
16
Let u(w) = w**2 + 10*w + 8. Calculate the least common multiple of 22 and u(-10).
88
Let h = -5 + 26. Let v(y) = -y**3 + y**2 + 2. Let l be v(2). What is the least common multiple of 7 and l/(-7) + 36/h?
14
Let r = 12 - -4. What is the least common multiple of r and 30?
240
Let c = -183083/14 - -13069. Find the common denominator of 73/22 and c.
154
Let x(s) = -s**3 - s - 33. Let h be x(0). What is the least common multiple of (h/(-9))/(1/3) and 3?
33
Let g(m) = 2*m - 2*m + 5*m**2 - 1 + 3*m + m**3. Suppose 0 = -4*f - 18 + 6. What is the least common multiple of g(f) and 3?
24
Suppose -4*r - 4*f + 96 = 0, -4*r + 2*f = -0*f - 72. Suppose 4*n = -y + 77, 4*y - 3 = 2*n - 19. What is the least common multiple of n and r?
180
Let m = 12265/9 - 1367. Calculate the common denominator of m and 89/2.
18
Let o be -6*(1 - (-12)/(-9)). Calculate the common denominator of (-18)/20 - (-2 + 0) and (o/4)/((-8)/(-348)).
20
Let h = 67765003/3222 - 97440/179. Let l = h - 20480. What is the common denominator of -151/18 and l?
18
Let v = 6269/1168 + 69/73. Let j = -85 - -197. What is the common denominator of 0 + 4/(j/(-50)) and v?
112
Suppose -1 = p - 0*p. Let t = 1832/17 - 16331/170. Find the common denominator of t and ((-16)/3 - 1) + p.
30
Suppose -4*k + 3*u + 8 = 0, -2*k + 4 = u - 6*u. Suppose -k*j + 6 = -0*j. Calculate the least common multiple of 10 and j.
30
Let j = -9436/45 - -1059/5. Let d be 6/(-69)*(-48)/2. Let s = d + -821/184. Calculate the common denominator of s and j.
72
Let p = 250 + -54. What is the least common multiple of p and 10?
980
Let g be 95522/24 - 33/11. Let t = 3982 - g. Let h = 5621 - 101149/18. Find the common denominator of h and t.
36
Let t = 11015/286 + -2/143. What is the common denominator of t and 103/28?
28
Suppose d - 143 = -3*d + n, -2*d = n - 73. Find the common denominator of -53/3 and 8/d + (-499)/18.
6
Suppose -4*g - 7 = -l, -7 = 4*l - 3. Let b = g - -10. Let x = b + -7. What is the lowest common multiple of x and 7?
7
Calculate the common denominator of 73/20 and (1/(-64))/(4/184).
160
Suppose -2*v = y - 7, 0*y + 4*y + 5*v = 25. What is the common denominator of 32/5 and 0 + (-2)/(12/y)?
30
Calculate the common denominator of (-780)/18*(-4)/(-90) and 25/8.
216
Let n = -1361315/36 - -37811. What is the common denominator of -99/16 and n?
144
Let s be 31 - -4*(-3)/12. Suppose 0 = z + 4*z - s. Calculate the smallest common multiple of 20 and z.
60
Let l = -40055/6 + 6700. What is the common denominator of l and 25/22?
66
Let l = -31 - -33. What is the smallest common multiple of 16 and l?
16
Let v = 1725 + -6861/4. Let r = -3151 + 15814/5. Calculate the common denominator of r and v.
20
Suppose 0 = -0*l - 2*l + 22. Let w be (-7)/3 + 2/6. Calculate the smallest common multiple of w + 1 + l + 4 and 20.
140
Let u be 18/10*(-10)/(-3). Calculate the common denominator of (-79)/15 + u/(-18) and (-26)/16 - 0 - -1.
40
Let h(s) = 29*s + 1. Let m be h(-1). Find the common denominator of 141/m + 8/28 and 81/4.
4
Calculate the common denominator of -19/2 and (10395/100)/(-11) + 4.
20
Suppose d - 7*a + 20 = -2*a, 30 = 3*d + 3*a. Calculate the lowest common multiple of 3 and d.
15
Suppose -3*t - t = 24. Calculate the common denominator of (242/30)/(4/t) and (4 - 2) + 46/18.
90
Let w be 2/(-3) - (-80)/12. Let h(s) = 3*s + 4. Calculate the least common multiple of h(w) and (66/(-2))/((-6)/4).
22
Calculate the common denominator of -7 + 8 - 142/(-28) and 59/14.
14
Let b be (2/((-8)/36711))/3. Let w = b + 3040. Let z = -6/1247 + -103477/4988. What is the common denominator of w and z?
4
Suppose 0 = -4*m + 12, l = -4*l - 2*m + 6. Calculate the least common multiple of 20 and (0 - l) + 19 + 5.
120
Suppose -3*r - 3*k + 30 = 0, 4*r + 5*k = 9*r - 10. What is the least common multiple of r and 10?
30
Let u = -1760139/7960 - -1769/8. Let b = u + 23677/1990. Find the common denominator of b and 157/12 - (-2)/(-6).
20
What is the least common multiple of (1 - 2)/(2/(-4)) and -3 - 3/(3/(-19))?
16
Suppose -4*j - 23 = 1. What is the common denominator of (5/3)/(32/j) and 45/22?
176
Let c(d) = -d - 11. What is the smallest common multiple of c(-25) and 38?
266
Suppose -3*j = -0 + 3. Let o = -2 - j. Find the common denominator of -28 and (-84)/27 - 2 - o.
9
Let p(a) = -3*a. Let h(y) = 9*y + 1. Let j(m) = 4*h(m) + 11*p(m). What is the least common multiple of 22 and j(4)?
176
Suppose 0 = -3*m - 4*y + 12, 4*m + 5*y = 4 + 13. Calculate the least common multiple of m and 16.
16
Suppose z - 1 - 2 = 0. Suppose -t = -2*t - 1. What is the least common multiple of z and 5 + -2 + t + 6?
24
Let j = 106291/18 + -5903. Let z = -10259/27122280 - 1/22888. Let y = -31399/8295 + z. Find the common denominator of y and j.
126
Let d = -8923/8 + 1118. What is the common denominator of d and 11/8?
8
Suppose -2*u + 25 = 5. Calculate the lowest common multiple of u and 6.
30
Let p = -41 + 53. What is the lowest common multiple of 18 and p?
36
Suppose 4*w + 3 = -1, -2*g + 5*w = -69. Suppose -4*l = 4*y - g, y + 2 = -0*y + l. Let o = y - 1. Calculate the least common multiple of 18 and o.
18
Let c(u) = -u**3 + 7*u**2 - 5*u - 5. Let v = 9 + -4. Calculate the least common multiple of c(v) and 22.
220
Let f be (4/6)/(2/(-33)). Let q = -1/1125 + 10877/2250. Calculate the common denominator of q and ((-73)/10)/(f + 9).
60
Let i(x) = -x**2 - x - 1. Let o(t) = 4*t + 9. Let n(a) = -2*i(a) - o(a). Let m be n(5). What is the common denominator of 1/6 and 0 + 0 + (-141)/m?
66
Suppose 4 = 4*y - 8, 0 = 4*q + 5*y - 87. Calculate the least common multiple of 14 and q.
126
Let a = 23 + -19. Calculate the least common multiple of 4 and a.
4
Suppose -11*u = -7*u + 5*f - 12, 3*u = -f + 20. Let o(y) = 2*y**2 - y. What is the least common multiple of u and o(2)?
24
Suppose 3*t + 106 = 4*n, 5*n - 3*t = 22 + 112. Calculate the lowest common multiple of n and 4.
28
What is the common denominator of 2 - (-105)/(-22) - 2/1 and 33/16?
176
What is the common denominator of (-21)/105 - (-834)/(-80) and -13/12?
24
Suppose -5*j = -0*j. Let w = 10 - j. What is the least common multiple of 6 and w?
30
Let w = -2153 + 6517/3. Find the common denominator of (2 - 159/45) + 4/12 and w.
15
Let k(j) = j**3 - 7*j**2 + 3*j. Let s be k(8). Let w = 3 - 0. Suppose -s = -w*b - b. What is the lowest common multiple of 20 and b?
220
Let p = -216 + 1084/5. Suppose -7*y + 2*y = 10. Find the common denominator of p and (y/(10/63))/(-1).
5
Suppose 1 = w - 1. Let c be 5 + -4 + 3 + -3. Suppose 6*d = 29 + c. What is the lowest common multiple of w and d?
10
Let s = 1883/4 + -480. Find the common denominator of ((-2)/(-40))/(1/7) and s.
20
Let j = 8 + -6. Suppose -j - 2 = 2*h - 4*u, -4*u = 3*h - 34. Calculate the lowest common multiple of 11 and 3/(1 + (-4)/h).
99
Suppose q + 4 = 5*m, 5*q - 5 = -4*m + 4. Calculate the common denominator of (-1)/(m*(3 - 1)) and ((-357)/66 - -4) + 1.
22
Let n = -3/979 - -30607/84194. Find the common denominator of n and -24.
86
Let f = -3575 + -2033. Let t = 44937/8 + f. Calculate the common denominator of t and 69/16.
16
Let t = -100331/15 - -6695. Find the common denominator of t and 121/6.
30
Let y = -1 + 9. Let n be (8/(-10))/(2/(-25)). Let u = 0 + n. What is the lowest common multiple of u and y?
40
Let o = -4146 + 37244/9. What is the common denominator of (2 + -12)/(11/2) and o?
99
Let c = 11329 + -135805/12. Find the common denominator of c and 97/64.
192
Let k(h) = h**3 + 5*h**2 + 2*h - 4. Let v(d) = d**2 - 7*d - 7. Calculate the lowest common multiple of k(-3) and v(8).
8
Suppose 2*a + 3*l + 2 = 0, -