et k = 437 - 160. Let w = 307 - k. What is the least common multiple of w and v?
60
Let v(t) = -t**3 + 86*t**2 - 166*t + 6. What is the lowest common multiple of v(84) and 180?
5220
Let l(x) = -x**3 - 37*x**2 - 6*x - 166. Calculate the smallest common multiple of (-3 - -2*5)*12/42 and l(-37).
56
Let l = -3 - -11. Let n(v) = -v**3 + v**2 - 8*v + 18. Let s be n(2). What is the common denominator of -42/11 and (-59)/l + (-1)/s?
88
Let v = 45511 - -35391. Let d = 47732193/590 - v. Calculate the common denominator of 43/16 and d.
4720
Suppose -15 = 3*s, -97 = -5*i - s + 3. Suppose -u = 2*q - 32, 2*u - 25 = 5*q + i. Suppose 8 = 4*j - 24. What is the smallest common multiple of u and j?
56
Let l = -34 + 46. Find the common denominator of 68/27 and l/9 - (-705)/(-345).
621
Let a(h) be the first derivative of -3*h**2 - 33*h - 77. Calculate the smallest common multiple of 6 and a(-6).
6
Let j be 5 + 9930114/(-600) + -2. Let f = -16547 - j. Let b = -8554 + 51469/6. What is the common denominator of f and b?
300
Suppose 2*f + 11*r = 15*r + 4700, 3*f - 7060 = -4*r. Calculate the smallest common multiple of f and 1176.
2352
Let l be (-3)/(-9) + (-196)/(-24)*-1118. Let m = 292195/32 + l. What is the common denominator of m and -31/16?
32
Suppose 14*w - 434 = -16*d + 12*w, 119 = 4*d - w. Calculate the smallest common multiple of 2268 and d.
2268
Let c = 649756417/1044 - 622372. Find the common denominator of -20/21 and c.
7308
Let n be (-7)/(63/(-2)) - (-12678)/54. Find the common denominator of 1/(-4) + n*(-2)/(-240) and -53/24.
24
Let q(k) = 30*k - 1358. What is the least common multiple of 66 and q(47)?
1716
Let g = -8930 + 2509335/281. Let x = g + -4255/2248. Find the common denominator of 4/10 - (-524)/(-110) and x.
88
Let s = -8636 + 10634. Calculate the smallest common multiple of 16 and s.
15984
Let b(h) = 3*h**2 + 8*h + 6. Let x be b(-3). Suppose -2*l = m - 14, 4*l - 34 = 10*m - x*m. What is the smallest common multiple of l and 107?
856
What is the common denominator of 109/2222 and (-10291)/944148 - 1/19?
13332
Let u = -7459 + 1529027/205. Let w = u + 2767/21320. What is the common denominator of w and 95/16?
208
Let g = -1589/3 - -536. Let w = -15910 + 5329856/335. Let t = 8656/3015 + w. Find the common denominator of g and t.
9
Let b be (879736/12)/((-659)/69). Let h = b - -7676. Let w = h - -34911/5272. What is the common denominator of -9/10 and w?
40
Let p = -274606/805 - -2388/7. Find the common denominator of p and 15/1219.
6095
Suppose 4*o = -5*q + 777, 32*q = o + 29*q - 224. What is the lowest common multiple of o and 35?
1015
Suppose -5*t - 10 = o, -t - 40*o + 45*o = 28. Let v be (11 - 9) + 0 + -18. Find the common denominator of -16/27 and (v/(-44))/(t/2).
297
Suppose 3*b - q = -2*b + 64, 3*b - 56 = 5*q. What is the lowest common multiple of (0 - 2037/(-9))*(-402)/(-469) and b?
1164
Let f be (-2 + (-468)/(-244))*4. Let z = f - -3273/122. Calculate the common denominator of 63/22 and z.
22
Let p = 3913/1712 - 21/214. Calculate the common denominator of (-2 + (-33)/(-12))*-3*1482/(-7137) and p.
976
Suppose 15747 = 45*x + 42*x. What is the least common multiple of 8 and x?
1448
Let p be 13521333/(-350) - 2/(-2*1). Let u = 38627 + p. Let r = u - 138/25. Calculate the common denominator of -7/12 and r.
60
Let o(r) = -r**2 - 17*r - 19. Let g be o(-16). Let b be g/(1056/33158) - 1. Let n = b + 997/11. Calculate the common denominator of 7/58 and n.
464
Calculate the common denominator of 27/1418 and 1 + (13 - (-169)/(-8)).
5672
Let v(n) = 57*n + 2577. What is the least common multiple of v(-39) and 22?
3894
Let y be 297/2*328/(-12). Let s = -689165 + 7536197/11. Let q = s - y. Calculate the common denominator of q and 20/49.
539
Find the common denominator of -85/234 and ((-528)/(-256))/(4/((-8)/26)).
1872
Let v = -152072325/2 + 357065802069/4696. Let n = v - -1/587. What is the common denominator of n and -23/8?
8
Let q be 2*((-4)/(-14) + (-82650)/175). Let w = -886 - q. Suppose t - 32 = -t. Calculate the lowest common multiple of t and w.
464
Let u = 473157/100 - 23652/5. Calculate the common denominator of u and 21/10.
100
Let c = -38074842 - -2130873621/56. Suppose -5*i + 47076 = -2*r, r = -i - 2*i - 23516. Let g = r - c. What is the common denominator of g and 89/8?
56
Let g = -13735 - -13742. What is the least common multiple of 3941 and g?
3941
Let j(i) = 5*i**3 - 4*i**2 + 7*i - 18. Let n(q) = -7*q**3 + 3*q**2 - 7*q + 19. Let d(f) = -4*j(f) - 3*n(f). Calculate the lowest common multiple of 7 and d(-8).
7
Let b be (-17 + -157)*(-2)/(-4). Let d = 43 - b. What is the least common multiple of 197/5 + 13/(d/(-4)) and 27?
351
Let y = -251 + 253. Let a(m) = 30*m + 16. Let t be a(-4). Let v = -72 - t. Calculate the lowest common multiple of y and v.
32
Suppose 0 = 2*q - 5*q - 198. Let u be (-21486)/q*2/(-6) + 2. Let y = u + 316/3. Find the common denominator of y and -1/2.
22
Let l(f) = -39*f - 68. What is the lowest common multiple of (-2462)/(-16) - (3 + (-50)/16) and l(-3)?
1078
Suppose -5*r = 3*x - 235, 2433*x - 2432*x - 101 = 4*r. Calculate the smallest common multiple of x and 510.
510
Let y be (0 + -2)/(-1) + 7172/10. Let a = y + -719. Find the common denominator of a and 88/105.
105
Let c(x) = -1775*x + 3. Let a be c(-4). Let j = -127807/18 + a. Find the common denominator of j and 6/(-14) + (-18921)/(-2646).
18
Let n = 214/525 + -9/25. Let p = 667/3 + -4682/21. What is the common denominator of n and p?
21
Calculate the smallest common multiple of 545 and ((-156960)/120)/(3 + (-18)/4).
4360
Suppose 2*q - 2*m = -6, -4*q - 4*m - 16 = -9*m. Find the common denominator of 63/8 and (0 + q/(-52))*15138/348.
104
Let y(l) = -2*l**2 + 14*l + 20. Let k be y(8). Suppose -o = -4*z - 0*o + 63, 0 = -5*z - k*o + 105. Calculate the lowest common multiple of 14 and z.
238
Calculate the lowest common multiple of 4 and 6/1 - (-21 - 143)*5.
1652
Let s(f) = 16*f**2 - 2*f - 14. Let n be s(-4). Calculate the common denominator of -89/602 and (2/(n/15))/(12/255).
6020
Let w(c) = 3*c**3 - 2*c**2 + 1. Let o be w(1). Let r = 657 + -659. Find the common denominator of (o + r + 2 - -99)/24 and 13/27.
216
Let h = -2/740191 - 102886129/155440110. What is the common denominator of h and 83/288?
10080
Let a = 4122/91031584241 + 25758516635820358920923/8010779413208. Let w = a - 3215432251. Let y = w - 49703. What is the common denominator of 61/8 and y?
88
Let a = 591348 + -1558201933/2635. What is the common denominator of 7/930 and a?
15810
Suppose 3*c - 646 = -5*m + 21, 5*c + 3*m = 1085. Calculate the lowest common multiple of 4 and c.
428
Suppose -3*c + 784 = 2*m, 2*c + 1048 = 6*c + 2*m. What is the lowest common multiple of 5/10*(-1 + 1) - -4 and c?
264
Let g(c) = -210*c + 2. Let a be g(2). Calculate the common denominator of a/120 - 12/(-6) and 41/24.
120
Suppose -30*s + 203 = -0*s - s. What is the least common multiple of 1632 and s?
11424
Let v(q) = 5*q**2 + 23*q - 456. What is the least common multiple of v(-13) and 165?
990
Let o(b) be the third derivative of b**4/8 - 8*b**3 - 34*b**2 - 1. What is the smallest common multiple of o(19) and 21?
63
Calculate the common denominator of -13/1965 and (-12293)/(-3930) + -3 - (-14)/(-105).
3930
Suppose 289 + 627 = 28*d + 244. What is the least common multiple of (-18)/((-8)/(-5) - 2) and d?
360
Let c(f) = -2*f**2 - 49*f + 23. Let i be c(-26). Calculate the common denominator of -52/5 and 0 - (-4 - 268/i).
55
Suppose -3*j + 36 = 3*j. Let o be (-4)/j*(-30)/(-10). Find the common denominator of 2977/(-312) + (12/(-9))/o and 40/7.
56
Let j = -4173 - -4182. What is the smallest common multiple of 4373 and j?
39357
Suppose 91 = -4*y + 7. Let o be (5 + y/3)*1/(-2). What is the smallest common multiple of o*7*(-5)/((-210)/24) and 19?
76
Let q = 50687 + -50622. Calculate the least common multiple of 18*((-10)/(-4) - 2) and q.
585
Suppose -4*b + 0*x = 2*x - 8168, -b = -x - 2048. Let q = 773126 + -6939785/9. Let w = b - q. What is the common denominator of -11/10 and w?
90
Let l be ((-13)/2)/(5/10). Let j = l - -13. What is the common denominator of 119/24 and j - 1/(-2) - 610/300?
120
Suppose 0 = 4*h - 12, -3*h - 9 = -3*q + 2*q. Let p = 17 - q. What is the common denominator of 7/32 and 184/(-6) - p/6?
32
Let x be (5 + (-6