 -26008 - -1092257/42. What is the common denominator of v and -23/66?
462
Calculate the common denominator of 99/28 and (-3534)/376 - (3 - 12).
1316
Let b(i) = -i - 19. Let y be b(-17). Suppose 2*q - 28 = -a - 0*q, 2*q = a - 8. What is the smallest common multiple of y - -4 - 6 - -14 and a?
90
What is the common denominator of 20/90 + 2/(-621)*-444 and -7/69?
69
Let a = -144 - 39. What is the lowest common multiple of 3 and (3 - 26/8) + a/(-12)?
15
Suppose 0 = 2*a + 2 - 34. Let t = 8 + -1. Suppose t*s = 2*s + 30. What is the least common multiple of s and a?
48
Let g = -2742169/903 - -7687/129. Let j = g + 2972. Calculate the common denominator of j and 25/3 - 14/(-28).
42
Suppose 5*a - 5*q + 6 + 9 = 0, -a = -4*q. Let n be (a/6)/(1/(-3)). Suppose 4*f = 4*h - 60, f = n*h + 5*f - 12. What is the lowest common multiple of h and 10?
60
Suppose 5*q = 8*q - 9. Suppose -6 = 3*a + 3, q*a = 2*v - 157. Calculate the common denominator of v/(-4) + (-1)/3 and 71/22.
66
Let v = 4080/19 - 75359/342. Calculate the common denominator of 1610/(-180)*1 - -4 and v.
18
Let p(q) = q**2 - 6*q - 6. Let x be p(7). Suppose 0 - 16 = -8*c. Calculate the common denominator of 13/4 and (-102)/(-14)*x/c.
28
Let x = -13 - -44. Let g = 8589/10 - 854. What is the common denominator of x and g?
10
Suppose -n - 2*n = 9. Let w(g) = g**2 + 2. Let y = -129 + 136. What is the lowest common multiple of w(n) and y?
77
Suppose -z + 11 = -5. Let b(i) = 2*i**3 - 24*i**2 - 27*i + 33. What is the smallest common multiple of z and b(13)?
80
Suppose -18 = -2*o - 3*j - 2, 0 = 4*j - 8. Suppose -5*d - 2*n + 39 = -o*n, 5*d = -5*n + 15. What is the smallest common multiple of 24 and d?
24
Let y = -125 + 131. Calculate the lowest common multiple of y and 78.
78
Let y(c) = c**2 - 17*c - 74. Suppose -4*g + 3 - 23 = 0. Let t(v) = v**3 + 4*v**2 - 6*v - 2. Calculate the least common multiple of t(g) and y(21).
30
Calculate the least common multiple of 9 and (-45)/(-6)*8/12.
45
Suppose -4*o + 58 = -2*o. Suppose -4*t + o = -35. What is the common denominator of 6/(-20)*(-90)/t and 93/2?
16
Suppose -2*z - 4 = 5*k, 4*z - 36 = 4*k + 12. Let u be (-1)/(-4) - (-86)/8. Let r = -7 + u. Calculate the least common multiple of z and r.
8
Let c(r) = -18*r - 26. Find the common denominator of c(-2) and 25/(-40) + (-2)/(-8).
8
Suppose 5*k - 127 = 18. Let r = k + -22. Let f = 11 + -6. What is the lowest common multiple of r and f?
35
Let p(b) = -b - 3. Let h be p(3). Let g = -2 - h. Calculate the smallest common multiple of 16 and g.
16
Suppose -5*b = 2*c + 1216, b + 3*c - 2*c + 245 = 0. What is the common denominator of (-5)/(60/b) - 4 and 52/(-48) + 1/3?
12
Calculate the common denominator of (-10)/14*(-161)/92 and -59/16.
16
Let j = 24864833 + -185466788853/7459. Let m = 2037901793/134262 + j. Let p = 15187 - m. What is the common denominator of -103/22 and p?
198
What is the common denominator of 2086/(-396) - 4/(-18) and (-18 - 784/(-42)) + (-287)/30?
110
Suppose -2*t + 20 = 6. Let x = 82 + -76. Calculate the lowest common multiple of x and 158/14 - 2/t.
66
Find the common denominator of 57/22 and -3 + (-2)/((-1000)/1439).
5500
Let u = 67 - 60. Suppose -6 = 4*o - u*o. Calculate the lowest common multiple of 4 and o.
4
Suppose -54 = 4*k - 2*c + 4, -3*c = k + 11. Find the common denominator of 5/4 and (86/14)/((-12)/k).
12
Let r = 248717/24 - 10365. Calculate the common denominator of r and -2/33.
264
What is the common denominator of (3363/(-198))/19 - -3 and 47/42?
462
Suppose 0 = -m + 3 - 9. Let a = m - -10. Calculate the lowest common multiple of 8 and a.
8
Let r = 262 - 13. Find the common denominator of -31/12 and r/(-6)*(-2)/(-14).
84
Let j(u) = u**3 - 10*u**2 - 17*u - 8. What is the least common multiple of j(12) and 6?
228
Calculate the common denominator of 21/((-9072)/(-3424)) + -9 and (-226)/24 + -1 + 0.
108
Let h(m) = 2*m**2 + 2*m + 9. Calculate the smallest common multiple of h(0) and 12.
36
Suppose -3*z + 0*z + 34 = 4*y, -3*z = 2*y - 26. Suppose -2*a = 2*a - 64. What is the smallest common multiple of z and a?
48
Let b = 2804717/140 - 571443/28. Let w = -2704/7 - b. Calculate the common denominator of w and (-102)/28 - (-10)/35.
70
Let x = 178305/143 - 16212/13. What is the common denominator of 77/104 and x?
1144
Suppose 15 = 5*c - 5. Suppose 0*h + 5*m = 3*h + 809, m + 2 = 0. Calculate the least common multiple of c and 3/(-4) - h/12.
44
Calculate the common denominator of (-8)/(3/4*280/45) and 75/22.
154
Let w = -268 - -277. What is the lowest common multiple of w and ((-15)/3)/((-3)/9)?
45
Let m = 36/19 + -4165/684. Let x = -211 - -115. What is the common denominator of (-2)/(-6) - (-470)/x and m?
144
Suppose -5*q = 4 + 1. Calculate the smallest common multiple of (-24)/(-4)*28/6 + q and 21.
189
Suppose 4*d - 8*d + 16 = 0. What is the smallest common multiple of 9 and (-90)/(-5)*d*2/12?
36
Let m = 94/7 + -3079/210. Calculate the common denominator of m and -93/22.
330
Let l(o) = o**2 - 7*o - 9. Let t be l(9). Suppose 10*d - t*d = 10. Let i(u) = -2*u + 24. Calculate the least common multiple of i(d) and 18.
36
Suppose -5*g + 60 = 5*m, 0 = 4*m - 3*g + 13 - 33. What is the lowest common multiple of m and (25/(-100))/((-1)/8)?
8
Find the common denominator of 91/465 and 1*-2 - (395/75 - 10).
465
Suppose -17 = -3*b + 4. Suppose 0 = -w + 5. Suppose 2*r + 20 = w*x, -3*r + 27 = x + x. What is the lowest common multiple of b and x?
42
Let w(j) = -8*j - 16*j**2 - 4 - 5*j - j**3 - 3 - 3*j. What is the least common multiple of 6 and w(-15)?
24
Let i = -63 - -89. Suppose 0 = 2*r + 3*l - 24, 3*r = -0*l - 2*l + i. What is the smallest common multiple of 11 and r?
66
Suppose -k - 2*k = 117. Let q be 3 + -1 - 84/k. Let h = q + 553/39. Find the common denominator of -64/9 and h.
9
Let o(w) = w**3 + 12*w**2 + 4*w + 16. Let u be o(-12). What is the lowest common multiple of 20 and (-3)/(12/(-50))*u/(-20)?
20
Let q(y) = 0*y + 1 - 5 + 4*y + 2. Let h(u) = 3*u - 1. Let d(s) = 6*h(s) - 5*q(s). Calculate the smallest common multiple of 4 and d(-7).
36
Let s = -10 - -13. Let x(v) = 5*v - 3. Let j be x(s). Suppose -3*p - j = -45. Calculate the smallest common multiple of p and 2.
22
Let a = -150213577/396 - -379327. What is the common denominator of a and 47/14?
2772
Let c = 3 - -3. Suppose 2*a + 0*a + 4*y = 4, 0 = -4*a + y + 8. Suppose a*d - 5*i - 53 = 0, 3*d - 3*i = 17 + 40. What is the lowest common multiple of d and c?
42
Let g be (-12)/(-8)*8/6. Let z be g - ((-95222)/(-28) - 3). Let a = z - -3398. What is the common denominator of a and -13/10?
70
Let r be 0*(5/1 + -4). Suppose r*p + p = -24. What is the common denominator of 99/20 and ((-25)/(-18))/(p/(-36))?
60
Suppose -2*l + 7*l = 40. Calculate the smallest common multiple of (-20)/(-6)*(-63)/(-35) and l.
24
Let j be 49389/(-54) - (2 + (-6 - -3)). Let n = 914 + j. Calculate the common denominator of n and 47/9.
18
Let l = 1458448300/57 + -4303803887369/168207. Let k = 29194277987/64432134 - l. Let t = -4/1213 + k. Find the common denominator of t and 119/18.
18
Suppose -8*o + 7*o + 4 = 0. Suppose -3*b = o*b - 70. What is the lowest common multiple of b and 10?
10
Find the common denominator of (-52)/9*(44685/3720 - 12) and 13/124.
372
Let i = -28878 + 28894. Let q(r) = -r**3 + 2*r**2 + 3*r. Calculate the smallest common multiple of q(-2) and i.
80
Let d = -1876 + 1891. What is the lowest common multiple of 135 and d?
135
Let h = 1614 - 1542. What is the least common multiple of h and 12?
72
Let p be (-18)/(-27) - 320/(-6). What is the lowest common multiple of 9 and (9/18)/(3/p)?
9
Let d = 1507/2 + -789. Find the common denominator of d and ((-39)/18)/(4/11).
24
Let s = 297/289 - 91781/6069. Let b = s + 5903/462. What is the common denominator of -11/10 and b?
110
Calculate the common denominator of ((-1)/4)/(990/(-58740)) and 12/11*3/(-2).
66
Let c = 26 + -62. Let o = c + -8. Let u = 1432 - 15772/11. Find the common denominator of u and o.
11
Suppose 49*a + 44 = 51*a. What is the smallest common multiple of 196 and a?
2156
Let d be 1/(5/3)*(5 - 20). Calculate the least common multiple of 18 and (2 + 8/(-3))*d.
18
Calculate the smallest common multiple of 530 and ((-42)/66 - -1)*11.
1060
Let c = -604 + 628. What is the smallest common multiple of 450 and c?
1