the common denominator of -101/264 and (-8)/36*1 + (-19)/(-18).
264
Calculate the common denominator of -11/28 and 180/225*((-23)/2 + 0).
140
Let f = -2919158 + 17552843/6. Let d = f - 6295. Calculate the common denominator of d and -8.
6
Let f = -1532039550 - -2604467411277/1700. Let v = -1766/17 + f. What is the common denominator of v and 55/12?
300
Suppose 0 = -3*n + 10 - 4. Let b(c) = c**3 + 144*c**2 - 292*c + 10. Calculate the least common multiple of n and b(-146).
10
Let q = 745 + -733. Calculate the smallest common multiple of 156 and q.
156
What is the smallest common multiple of 15*((5 - 4) + (-2)/(-6)) and 30?
60
Suppose -3*m - m + 12 = 0. Suppose q - 4 = g - 8, -5*g = -m*q - 20. Suppose 3*a + 1 - 22 = q. What is the smallest common multiple of a and 6?
42
Let p(q) = -17 - 4 - 6*q - 7 + 4. Calculate the least common multiple of p(-8) and 4.
24
Suppose 52 = -2*j + 6*j. Let p = j - 13. Suppose -5*d = -3*d - 2*s - 18, s - 3 = p. Calculate the least common multiple of 18 and d.
36
Let d = -63/26 + 6659/2834. What is the common denominator of d and 45/2?
218
Suppose 0 = -5*o + 3*y - 288 - 17, -4*o - 244 = -5*y. Let f = o - -66. What is the smallest common multiple of 11 and f?
55
Let p = 258 - -18. What is the least common multiple of p and 22?
3036
Let f = -10976 - -384201/35. What is the common denominator of f and 41/9?
315
Suppose 0 = 6*p - 41 + 11. Suppose 4*j - 124 = -4*s, 205 = 6*s - s - p*j. Calculate the least common multiple of s and 12.
36
Let i = 881/139 - 1388881/220732. Calculate the common denominator of 127/18 and i.
14292
Suppose 0 = -44*b + 50*b - 714. What is the lowest common multiple of 70 and b?
1190
Calculate the common denominator of ((-149)/3 - -5)*6/(-72) and 121/102.
306
Suppose -36 = 12*w - 15*w. Let j(c) = c**3 - 12*c**2 + 2*c - 9. Let x be j(w). Suppose -x*p - 32 = -17*p. Calculate the smallest common multiple of 8 and p.
16
Suppose 0 = 2*p - 0*p + 4, -25 = 5*u - 5*p. What is the lowest common multiple of 8 and 14 + -1 + (u - 35/(-7))?
88
Suppose 58*m - 46*m = 360. Calculate the smallest common multiple of 42 and m.
210
Suppose 2*t = s, s - 2*t = t + 5. Let z be 12/(-18) + (-168)/18. What is the common denominator of (4 + z)/(12/8*11) and s?
11
Let u = 2 + 4. Let m(s) = -2*s - 3. Calculate the smallest common multiple of m(-4) and u.
30
Let y = 5 - -5. Let c = y - 9. Suppose -k = -4 - c. Calculate the smallest common multiple of 1 and k.
5
Suppose 23*k - 880 = 7*k. What is the least common multiple of 4 and k?
220
Let x = -88973/10 - -8905. What is the common denominator of x and ((-4)/30)/((-20)/1335)?
10
Suppose 5*z - 8*g - 2711 = -4*g, 0 = -4*z - 3*g + 2175. Let u = 2149/4 - z. What is the common denominator of u and 97/20?
20
Suppose -106 = -4*j - 2786. What is the common denominator of 43/12 and j/105 - (-2)/12?
84
Let z = 2218/11 - 21421/110. Let m(u) = -u**2 + 12*u - 1. Let f be m(11). Calculate the common denominator of z and ((-4)/f)/(72/(-2070)).
10
Let c = -10 + 21. Let m = c + -8. Find the common denominator of (m - 5) + (-15)/48 and -89/22.
176
Find the common denominator of 20/451 and (36/13776)/(2/(-24)).
3157
Let g be 8/(-44) - (-48)/22. Let z = 5 + -2. Suppose -2*m + g*w + 23 = z*m, 5*m - 5*w - 20 = 0. What is the smallest common multiple of m and 6?
30
Suppose -4*x - 2278 = -3*j, -5*j + 0*x + 3778 = -2*x. Let y = j - 6015/8. Find the common denominator of y and 1/(-9)*612/24.
24
Let k = 7/3232 - 60217/9696. What is the common denominator of k and 33/10?
120
Suppose 223 = 3*g + l, 0 = 12*g - 17*g - 5*l + 365. What is the least common multiple of g and 15?
75
Let f = -1433 + 1473. What is the smallest common multiple of 140 and f?
280
Suppose -10 = 2*f - 4*f. Suppose h - 3 = 0, 75 + 134 = -4*a - f*h. What is the common denominator of 1/4 and (170/a + 3)*73?
28
Suppose 0 = -5*z + 17 + 83. Calculate the lowest common multiple of -2 + (-140)/(-77) + 138/33 and z.
20
Let t = -22 - -32. Suppose 150 + t = 5*m. Suppose -2*n = 2*n - m. Calculate the least common multiple of 1 and n.
8
Let w be 69/(-12) + (-2 - 7/(-4)). Find the common denominator of -73/6 and (0 + 21/w)/(3 + 40).
258
Let a = 27 + -25. Calculate the common denominator of 89/(4 - 8 - a) and 121/20.
60
Let f = -143 - -807. Let h = f - 12646/19. Calculate the common denominator of 14/11 and h.
209
Calculate the common denominator of 63/130 and (-964)/80 + -1 - -9.
260
Let q be (-2 - 1) + (-1647)/(-1260). Let o = 11/28 + q. Calculate the common denominator of o and 9.
10
Let k(z) = z**2 - 13*z - 17. Let c be k(14). Let f = 9 + -6. What is the least common multiple of f and (-6)/18 + (-19)/c?
6
Let c be 2595/(-14225) - 2/(-10). Let a = -47127/5690 - c. Calculate the common denominator of a and (-2)/((-4)/290*-6).
30
Let n(y) = -y**3 - 5*y**2 + 6*y + 1. Let u be n(-6). What is the common denominator of (u - -2)/((-18)/(-124)) and 1/(2071/912 + 10/(-4))?
33
Let n(p) = 3*p**2 - 39*p - 48. Calculate the least common multiple of 6 and n(15).
42
Suppose 5*j - 4*o = 32, 0*j - 2*j + 3*o = -17. Suppose -j*r + 16 = -x - 0*x, -r + 5 = 0. Calculate the smallest common multiple of 16 and x.
16
Let z = 10/37 + -1729/1332. Calculate the common denominator of 19/90 and z.
180
Let p be (-7754)/15 + 2/(-5). Suppose 0 = -7*j - 2090 - 1480. Let h = p - j. Calculate the common denominator of -67/4 and h.
12
Let u = 627/821 - 472269/673220. Calculate the common denominator of u and -69/2.
820
Let s = -13835 - -664129/48. Calculate the common denominator of -15/64 and s.
192
Let y(i) be the first derivative of -i**4/4 - i**3 + 3*i**2/2 - 3*i + 4. Calculate the smallest common multiple of 2/((0 - -2)*1) and y(-4).
1
Let m(x) = x**2 + 13*x + 24. Calculate the least common multiple of 138 and m(-12).
276
Let r = -26 + 38. Suppose o + 2*l = -2*l - 8, -l = -3*o + 15. Suppose o*g = 6 + 58. Calculate the least common multiple of g and r.
48
Suppose 257 = 5*h - 373. Let c = -274/5 - -55. What is the common denominator of 0 + 2/(h/39) and c?
105
Let a be 65/1027*(-4)/(-10). Let c = a - 115/1422. What is the common denominator of 119/12 and c?
36
Let i(y) be the third derivative of y**6/120 - y**5/12 - y**3/2 - 2*y**2. Let w be i(4). Let v = w + 37. Calculate the lowest common multiple of v and 6.
18
Let j = 5575384 + -3261593957/585. Let u = j + 10/117. What is the common denominator of -79/20 and u?
20
Let p = -7 - -11. Let d(v) = -v + 42. What is the smallest common multiple of p and d(28)?
28
Let c = -194185/3 - -63896. Let p = 824 + c. Calculate the common denominator of 11/(-10)*-1 - 2 and p.
30
Suppose -x = 4*t - 215, -369*t + 364*t = -4*x + 944. What is the lowest common multiple of x and 147?
1617
Let k = -1113/4 - -269. Calculate the common denominator of k and (51/(-33))/17 - 1757/(-330).
60
Let x be 6/(-21) + 1/(14/(-80)). Calculate the common denominator of 15/2 and x/(-12)*(-30)/(-44).
44
Suppose -q = 3*q - 52. Suppose 4*t - q - 22 = 3*b, 5*t + 3*b - 37 = 0. Let w(k) = k**3 + k**2 + k + 4. What is the lowest common multiple of w(0) and t?
8
Suppose 4*v - 3*v - 4*b + 57 = 0, -5*v = 4*b + 213. Let r = -94933/26020 - 2/1301. What is the common denominator of r and (-6 - -5)*2 - v/16?
80
Suppose g + 3*g - k - 173 = 0, -3*g = 2*k - 138. Calculate the smallest common multiple of 28 and g.
308
Suppose -3*l = 2*i + i - 231, -3*i + l = -251. Let y = i + -68. Calculate the lowest common multiple of 18 and y.
126
What is the common denominator of (348/(-21) + 18)/(31/35) and 49/93?
93
Suppose -4*r - 2*m = -163104, -4*m - 161485 = -5*r + 42421. Let l be (r/24)/(6/(-20)). Let h = 5665 + l. Calculate the common denominator of h and -51/8.
72
What is the smallest common multiple of 156 and (-3)/15 + 1891/155?
156
Let z = -2316 - -4494. Calculate the common denominator of ((-3)/20)/((-54)/z) and -63/20.
20
Suppose -217*m + 230*m - 221 = 0. What is the smallest common multiple of 2 and m?
34
Calculate the common denominator of ((-62)/(-77))/(80/140) and ((-10)/(-16))/((-2)/10).
88
Suppose -2*h = 5*l - 11, -h + l = 4*l - 6. What is the lowest common multiple of (-3)/h + (6 - -6) and 6?
66
Suppose 12*m + 155 = 17*m. Find the common denominator of m and -2*(-5)/3 - 4/8.
6
Let j = -40/4547 - 202402/768443. Find the common denominator of j and 35/117.
1521
Suppose -823 + 14