
Let x = -351/56 - -29/7. What is the common denominator of -69/44 and x?
88
Suppose 28*y = 25*y + 6693. Let i = 15574/7 - y. Calculate the common denominator of -1/9 and i.
63
Let d = 212 + -358. What is the lowest common multiple of d/(-30) + (-2)/(-15) and 10?
10
Suppose 5*x - 23 - 2 = 0. Let s(r) = -r**3 + 11*r**2 + 12*r + 2. Let y = -14 - -26. What is the smallest common multiple of s(y) and x?
10
Let d = 20 + 32. Let v = -20 + d. What is the lowest common multiple of v and 16?
32
Let c = -25 - -27. Find the common denominator of (43/60)/(c/4)*-4 and -31.
15
Suppose -7*f - 25 + 529 = 0. Find the common denominator of (-657)/f - (0 - -1) and 29/8.
8
Let h be (-6)/(-9) - 4/6. What is the common denominator of (-130)/12 + h - (35 - 33) and 44?
6
Suppose w + 225 = q - 4*w, 2*q - 465 = 5*w. Calculate the lowest common multiple of q and 8.
240
Suppose 0 = 9*z - 65 - 79. Calculate the lowest common multiple of 2 and z.
16
Let b(f) = f**3 - 23*f**2 + 64*f - 14. What is the least common multiple of b(20) and 84?
924
What is the least common multiple of 20/190 + (-300)/(-38) and 30?
120
Let q(k) = 39*k**2 - 2*k - 2. Suppose -2 = -b + 3*b. What is the common denominator of q(b) and 22/5?
5
Let w = -1/330 + 479/770. Find the common denominator of w and (-31)/3 - ((-20)/12 - -1).
21
Calculate the common denominator of -89/105 and (2948/24)/11 - -5.
210
Let n = -2006221683/149759410 - 812/168269. Let a be ((-2)/178)/(6/54) - 3. Let z = n - a. Calculate the common denominator of z and -17/10.
10
Let l be ((-44)/16 + 2)*-4. Suppose -l*x + 5*x - 40 = 0. What is the smallest common multiple of 22 and x?
220
Let w = -4217 + 113836/27. Calculate the common denominator of ((-8)/6 + 1)*1314/18 and w.
27
Suppose 0 = 15*o - 1999 - 2381. Calculate the smallest common multiple of 14 and o.
2044
Let g be (-9 - 15107)/((-4)/6). Let b = -1541889/68 + g. What is the common denominator of 47/12 and b?
204
Let z(y) = -10 - 2 + 0*y**2 + 5 - y**2 + 7*y. Calculate the least common multiple of z(3) and 1.
5
Let f be (-2)/6 - (-7418)/(-3). Let j = 19416104583/7881112 - 4/985139. Let s = j + f. Calculate the common denominator of 91/2 and s.
8
Suppose -3*p - 1 = -4. Suppose 0 = 2883*s - 2873*s - 110. What is the smallest common multiple of p and s?
11
Let s = 42 + -24. Let w = -15 + 29. Calculate the least common multiple of s and w.
126
Let j = -718 - -10807. Let l = j - 222019/22. What is the common denominator of l and -57/20?
220
Let i = 136 - 69. Let g = 70 - i. What is the lowest common multiple of 146 and g?
438
Let l = -56 + 38. Calculate the common denominator of 23/15 and -2 + 32*(4/l)/(-2).
45
Let f = 1/3548 + -157889/10644. Suppose 0 = -3*v - 5*y + 22, -2*v + 2*y = -y - 2. Find the common denominator of 141/18 + -6 + v and f.
6
Let n(g) = -18*g - 120. Let k(v) = -v - 4. Let f be k(0). What is the lowest common multiple of (2 + 6/f)*8 and n(-7)?
12
Let c(d) = -2*d**3 - 49*d**2 + 29*d - 28. Let h be c(-25). What is the common denominator of 4/h*2*22 and (15/(-35))/(1/(-19))?
56
Suppose -5*h - 28 = 12. What is the common denominator of (-222)/56 - 4/8*h and 65/8?
56
Suppose 17 = 4*p - 11. Let s = 10 - 9. Suppose -2*u - 4*o = u - 26, -o = s. Calculate the lowest common multiple of u and p.
70
Find the common denominator of -21/8 and 5 - (123/(-10))/(352/(-165)).
64
Let y(w) = -17*w**2 + 0*w + w - 8*w**2 + 26*w**2. Let b be y(-1). Suppose 0*j - 2*j + 16 = b. Calculate the least common multiple of j and 4.
8
Suppose 476*t + 138 = 478*t. Calculate the smallest common multiple of 253 and t.
759
Let i be 4/((-8)/198) - 2. Let s be (-227)/(-2) - -15*(-9)/108. Let t = i + s. Calculate the common denominator of -37/29 and t.
116
Suppose 10*v - 2 = -2. Let w(k) = 3*k**2 + 1. Calculate the lowest common multiple of 9 and w(v).
9
Let u be 30/24*1*4. Suppose -22 - 8 = -u*c. Suppose 4*q + 5 = -5*j, -3*q + 29 + c = -4*j. What is the lowest common multiple of 5 and q?
5
Let a = 3 + -17. Calculate the least common multiple of 27 and 1 + 18/a + (-2032)/(-56).
108
Let p be (-308)/16 + (-3)/4. Let z = -37727/2252 - -3/1126. Find the common denominator of -2 + -1 + (-226)/p and z.
20
Let t(p) = -p**2 - p**2 - 3*p**2 + 2*p**2. Let o be t(-4). Calculate the lowest common multiple of 5 and (-6)/3 + o/(-4).
10
Suppose -23*v = -31*v + 96. Suppose -3*q - 72 = u, 0*q + q + 2*u + 24 = 0. Let m = -10 - q. What is the smallest common multiple of m and v?
84
Let k = -635 - -668. Calculate the least common multiple of 6 and k.
66
Suppose 10 = 5*k + 40. Find the common denominator of -29/2 and k/2 + (-77)/(-56).
8
Let b = 160427/41130 - 2/4113. Let w = 93/20 - b. Suppose -44 - 10 = -3*o. What is the common denominator of o and w?
4
Let b(f) = -2*f + 2. Let m be 120/15*(-10)/4. Let z = -22 - m. What is the lowest common multiple of 1 and b(z)?
6
Suppose 0 = 4*j - 3*j - 1. Suppose -4 - 2 = -a. Let k = 16 - a. Calculate the lowest common multiple of k and j.
10
Let q = 68 - 64. Suppose -k - q*f + 10 = 0, -2*k + 6*k = 4*f + 20. Calculate the lowest common multiple of k and 24.
24
Suppose -4*i - 2*d + 45 = 3, 0 = 5*i + 5*d - 55. Suppose p - 10 = -2*l - 1, -22 = -5*l - 3*p. What is the smallest common multiple of l and i?
10
Let p be ((-4)/2325)/((-1)/3). Let i = p + -10703/1550. What is the common denominator of (3/9)/((4/(-14))/(2464/(-392))) and i?
30
What is the common denominator of -13/10 and 8/1980*34 + 33/55?
990
Let c = -1077 - -4283/4. Let g be 2 - (-3)/((-12)/(-8)). What is the common denominator of ((-5)/24)/(g/12)*-34 and c?
4
Let x = 34 + -6. Let f = -18 + x. Calculate the least common multiple of f and 16.
80
Suppose 4*n - 99 = 5*j, -5*n - 135 = 5*j - 0*j. Let z = 29 + j. Calculate the least common multiple of z and 16.
48
Suppose 48*z = -2*q + 49*z + 83, 2*q + 4*z - 68 = 0. Calculate the smallest common multiple of q and 55.
440
Calculate the smallest common multiple of 810/105*42/9 and 54.
108
Let v = 1913/5 - 749/2. Calculate the common denominator of 15/(-4) - (0/(-1))/(-9) and v.
20
Let o(l) = 9*l - 11. Let u be o(3). Suppose 5*q = 7*q - u. Calculate the lowest common multiple of 21/2*(-4)/(-3) and q.
56
Calculate the common denominator of -47/569 and 884/2184 + 2/12.
3983
Let t(z) = z**2 + 14*z - 65. What is the least common multiple of 56 and t(4)?
56
Let d be (-18)/112*(-108)/6. Let c be -13*1/126*3. Let n = d + c. Find the common denominator of -71/10 and n.
60
What is the common denominator of (-140)/(-28) - -7*(-9)/24 and 1/(-2) - (-81)/21?
56
Find the common denominator of 4*(-5 + 466/96) and -2 + 5 + 198/(-32).
48
Let w(y) = 2*y**2 - 33*y - 17. Let a be w(17). Suppose r - 7*r + 162 = a. Calculate the lowest common multiple of r and 27.
27
Let d(w) = -w**3 - 20*w**2 - 20*w - 228. What is the lowest common multiple of d(-20) and 86?
172
Let j = 25 + -15. Suppose g + 3*y = 20, 4*g - y = y + 94. Suppose q + j = 4*l, -2*q + g = 2*q + 5*l. What is the lowest common multiple of 8 and q?
8
Let u = 207 - 189. What is the lowest common multiple of 75 and u?
450
Let j = 3443 - 3434. Suppose 0 = -5*b - 33 + 138. Calculate the least common multiple of b and j.
63
Let p be 3*16/12 + 28. Let l = 12 + p. Calculate the smallest common multiple of l and 10.
220
Let a = 62 + -55. What is the lowest common multiple of 18 and a?
126
Let b be (-52)/8*-492 - 2/1. Let v = -79873/25 + b. Calculate the common denominator of v and -91/10.
50
Let u be ((-108)/30)/(3/(-400)). Suppose 7*d + l = 2*d + 486, 0 = 5*d - 5*l - u. Find the common denominator of d/7*14/(-20) and 30/11.
110
Let x(m) = m**2 - 2*m + 5. Let v be x(0). Suppose -p + 5 = -v. Calculate the lowest common multiple of p and 9.
90
Suppose u + 2*u + s - 11 = 0, -10 = -5*s. Suppose -g - g = 4*m - 14, -3*m = u*g - 27. Suppose -7*z = -g*z + 12. Calculate the least common multiple of 2 and z.
6
Let t = -479/56430 + 1/270. Let d = t + -827/1881. Calculate the common denominator of d and 12/11.
99
Let c be (-12)/18 - 2/(-3). Suppose c = q - 4 - 8. What is the least common multiple of q and 4?
12
Let q be (8/9)/((-10)/15) - 108. Let d = 4373/42 + q. What is the common denominator of 103/70 and d?
70
Let z = -1879 - -3833/2. Find the common denominator of 93/620*(-5)/(-6) + 114/(-80) and z.
10
Let j = -38 + 46. Suppose 0 = -5*s + j + 12. Calculate 