Calculate the common denominator of b and 43/57.
456
Let p = 5 + -2. Calculate the common denominator of 10/24*1*508/20 and (p/9)/(12/172).
36
Let n = 9 - 6. Let a(i) = -2*i**3 + 8*i**2 + i - 3. Let u be a(4). Suppose -2*t - 4*m + 25 = t, -m + u = 0. What is the least common multiple of t and n?
21
Let u = 113 - 109. What is the lowest common multiple of u and (-13 - -12)*(0 - 7)?
28
Let h = 61079/14 - 4363. Find the common denominator of 14/32*(-3 - -2) and h.
112
Let l = 23/8 - -391/120. Calculate the common denominator of l and -57/7.
105
Let y = -182 - -196. Calculate the lowest common multiple of y and 184.
1288
Let u(y) be the first derivative of 1/4*y**4 - 9*y - 2*y**3 + 3/2*y**2 - 4. What is the lowest common multiple of u(6) and 7?
63
Let j(x) = x**2 - 37. What is the smallest common multiple of j(-10) and 81?
567
Let a = -2/13781 + -1391865/110248. Let f = -332/125 - -11884/4625. Let q = f + -13441/740. Find the common denominator of q and a.
8
Suppose 4*c = 3*f + 96, -c - 3*f - 33 = -2*c. Let p = -8 - -14. What is the lowest common multiple of p and c?
42
Let n be (-4)/(-14)*4/(-362). Let i = -10321/1267 - n. Find the common denominator of i and (-305)/(-36) + (-4)/18.
28
Calculate the lowest common multiple of (-5 + 7)/(4/48) and 105.
840
Suppose -19*u + 2725 = -30. Let j = u - 139. Suppose -3*s = s - 24. What is the smallest common multiple of s and j?
6
Let q(o) = o**3 + o**2 - 15. Let n be q(0). Let a = 23 + n. Calculate the lowest common multiple of a and 910/143 + 12/(-33).
24
Suppose -3*j = -6*j + 6. Suppose -j*r + 30 = 3*r. Suppose 4*u = u + r. What is the least common multiple of 16 and u?
16
Suppose 4*z + 2*f + 34 = -0*z, 3*f = 9. Let m = -4614 + 73863/16. What is the common denominator of (11/(-5))/((-36)/z) and m?
144
Calculate the common denominator of 31/28 and 1659/1176 - (-1)/4.
56
Let f(w) = -w**3 - 30*w**2 - 57*w + 66. What is the least common multiple of 4 and f(-28)?
188
Let z(h) = -12*h**3 - 5*h**2 - 2*h + 5. Let b be z(5). Let c = b + 32479/20. Calculate the common denominator of c and (-2 - 24/(-10))/((-44)/418).
20
Let y = 54/713 - 2191211/2139. Let m = y - -1033. Calculate the common denominator of m and 47/4.
12
Suppose 5*h = 3*v + 5 + 3, -2*h = -v - 3. Suppose z = -0 + h. What is the lowest common multiple of z and 2?
2
Let d(h) = h - 4. Let c be d(8). What is the common denominator of (-2)/8 - (-314)/(-8) and -3 + 5/(400/c)?
20
Suppose -g + 36 = 4*s + 4*g, -2*g = -4*s + 64. Let y = s + -10. Suppose 0 = -y*m + 4*i + 8 + 20, 5*m = i + 19. What is the least common multiple of 2 and m?
6
Suppose -4*f + f + 45 = 0. Let r = -101 + 137. What is the lowest common multiple of f and r?
180
Calculate the common denominator of -49/80 and ((-3)/(-120))/((-20)/48).
400
What is the common denominator of 15/154 and 4 - 3157/882*1?
1386
Let q(i) = -2*i**3 + 2*i**2 - 3*i - 3. Calculate the least common multiple of q(-2) and 30.
270
Suppose -23*j = -146 + 31. What is the smallest common multiple of 44 and j?
220
Let q(d) = -7*d - 12. Let j be q(-4). Let o = -11 + 14. Suppose 4*a = 0, g = -o*g + 3*a + j. What is the lowest common multiple of g and 24?
24
Let k = 35 - 24. Suppose 22 = 4*i + 2*u, -i + 5*u = -0*i + k. Calculate the smallest common multiple of i and 15.
60
Let w be (318/(-82))/((-3)/((-138)/(-8))). Let k = w + -2/41. Let g = 3331/6 - 554. Find the common denominator of k and g.
12
Let p = 51 - 47. Suppose -p = 10*r - 11*r. Calculate the lowest common multiple of r and 10.
20
Suppose -x + 115 = 106. Calculate the smallest common multiple of x and 7.
63
Suppose -4*r + 28 = 4*q, 11 = q - 0*r + 5*r. Calculate the least common multiple of 12 and 112/18 - q/27.
12
Let g = -196 + 204. What is the least common multiple of (-2)/3 - 24/(-9) and g?
8
Let x be (-3452)/5820 + 3/5. Let n = 3849/194 - x. Let s = -6208/195 - -387/13. Find the common denominator of s and n.
30
Let x(b) = -b**2 - 8*b + 11. Let f be x(-6). Calculate the common denominator of 54/(-20) - 23/f and ((-16)/22)/((-6)/15).
110
Let b = 1/4981 - 204233/59772. Find the common denominator of b and (-2)/(-14)*13370/240 - 3.
24
Let m = -9815/4 - -108047/44. Let h = -38141/10 - -3804. Calculate the common denominator of m and h.
110
Suppose -2*l = 2*q + 16, -3*l - 32 - 8 = -5*q. Let d = l - -16. Calculate the least common multiple of d and 4.
12
Let s = -1167464849/135788034 + -1/1560782. Let t = 13423/1740 + s. Find the common denominator of t and -111/10.
60
Let u = -22 - -38. Let p = u + -10. What is the smallest common multiple of p and 10?
30
Let x(h) = h - 1. Let b(j) = -2*j - 22. Suppose 4*q + 16 - 12 = 0. Let s(m) = q*b(m) - x(m). What is the lowest common multiple of s(-12) and 1?
11
Find the common denominator of -133/12 and -3*(-3)/(-17775)*(-2130)/(-12).
4740
Let h = -1142 - -1186. What is the least common multiple of h and 44?
44
Let p(j) = 2*j**2 - 15*j + 7. Let c be p(7). Suppose c = -6*n + 1 + 221. Let x = n + -28. What is the lowest common multiple of 7 and x?
63
What is the smallest common multiple of 162/(-45)*85*(-3)/6 and 78?
3978
Let q(u) = -1 - 2*u + 15*u**3 + 2 - 16*u**3 - 8. What is the smallest common multiple of q(-3) and 16?
208
Let k be (-36329)/4 + 2 + 35/(-20). Let c = -399549/44 - k. Find the common denominator of c and 31/8.
88
Suppose -3*c + w = -243, -5*c - w - 2*w + 391 = 0. Suppose 0 = -5*z + 5*v + c, -3*z + 4*z = -3*v + 24. Calculate the lowest common multiple of z and 14.
126
Let l = 727 + -695. Calculate the least common multiple of 44 and l.
352
Suppose 7*v - 8*v + 3 = 0. Let d(p) = p**3 - p**2 + 2*p. Let u be d(v). What is the common denominator of 130/3*u/288 and 11?
18
Let m = 422/297 - 40/27. Find the common denominator of 38/15 and m.
165
Calculate the common denominator of (-10)/(-60)*(-122 + 3/3) and -39/10.
30
Suppose 5*o - 19*o = -56. Let l be 7*(-2 + -4)/(-3). Let j = 36 - l. What is the smallest common multiple of o and j?
44
Let z = 24 + 31. Calculate the least common multiple of 35 and z.
385
Let w = -20 + 74. Let i(v) = -v**2 - 71*v + 1734. Calculate the least common multiple of w and i(19).
216
Find the common denominator of (-203)/300 + 90/72 and -25/4.
300
Suppose 4*a + 3*n + 3 = 0, -3*a - 3 = 5*n - 2*n. Suppose p = -a*p. Suppose 0 = 6*r - p*r - 66. What is the least common multiple of r and 9?
99
Suppose -3*u = 2*u - 100. Let q be (-30)/u*1/12198. Let z = q - 34052/6099. Calculate the common denominator of 77/18 and z.
36
Let m(o) be the first derivative of o**4/4 - 11*o**3/3 - 11*o**2/2 - 8*o + 8. Let p = 6 + -3. What is the least common multiple of p and m(12)?
12
Let g(n) = -n**2 - 3*n + 1. Let o be g(-3). Let f be 0 + 4 + 10/o. Suppose 19 = 3*u - x, -u = -4*u + 2*x + f. What is the least common multiple of 2 and u?
8
Let c = 1257 + -12531/10. Suppose -5*f + 13874 - 3059 = 0. Let z = 38839/18 - f. Calculate the common denominator of c and z.
90
Let i(t) = -5*t - 9. Let g(w) = 7*w + 14. Let y(p) = 5*g(p) + 8*i(p). What is the smallest common multiple of 10 and y(-2)?
40
Let d = -264159424146103/13112 + 20146386844. Let v = 1/6556 + d. Find the common denominator of v and -1*1*(-31)/11.
88
Suppose -4 = 214*p - 216*p. Suppose 0 = 3*s + p*v - 77, 7*s - 3*s - 95 = 5*v. What is the smallest common multiple of s and 5?
25
Let u = 30 - 42. Suppose 0*h + 35 = 5*h. What is the lowest common multiple of h and 30/9 + 1 + 4/u?
28
Calculate the common denominator of (-14600)/(-11088) + (-8)/44 and 77/54.
378
Let v = -1060531/40 + 26515. What is the common denominator of v and 7/8?
40
Let a = -98 + 102. Let x = 37 - 21. What is the smallest common multiple of a and x?
16
Let y(a) = 3*a + 9. Let u be y(-9). Let f be 1162/u*5/55. Let r = -79/22 - f. Find the common denominator of 3/4 and r.
36
Let a = -1107/10 - -46369/420. What is the common denominator of a and 91/24?
168
Let c = 745 + -1521/2. Let r = 14 - 26. What is the common denominator of c and (-1)/r*(-354)/(-4)?
8
Let o = 87 + 21. Calculate the least common multiple of o and 60.
540
Suppose -4*d + 0*k - 127 = 3*k, 20 = -4*k. Calculate the common denominator of -127/12 and 0 + 5/330*d.
132
What is the least common multiple of (-1)/2*-962 - -3 and 16?
1936
Suppose 0*g + 5*p - 17 = -2*g, -3*g = -p - 17. Suppose -8*w = -36*w + 182 + 70. Calculate the small