*n - d = n - 5, 4*n = -5*d - 17. Suppose 11*z = -n + 24. Suppose 9 = 3*v - 2*j - 25, 2*j = v - 14. What is the smallest common multiple of z and v?
10
Let q = 118/509 - 64839/185276. Calculate the common denominator of 83/1976 and q.
13832
Let z be 7 + -10 + 12 - 9. Suppose 36*m - 22*m - 42 = z. Calculate the least common multiple of 87 and m.
87
Suppose 2*v = 13 + 31. Suppose 6 - v = -2*o + 2*f, 4*o + 3*f - 4 = 0. Let n = 18047 + -17999. What is the smallest common multiple of n and o?
48
Let b = 353200/69 + -5119. Find the common denominator of -64/3 and b.
69
Let h = -109789/60 + 7333/4. Let i = -2/18633 + -416129/74532. What is the common denominator of h and i?
60
Suppose -17*y + 20*y = -21*y + 240. What is the smallest common multiple of 8804 and y?
44020
Let f(a) = 4*a**2 + 53*a + 398. Calculate the least common multiple of f(-8) and 1587.
15870
Let b = -6915 - -8725. What is the lowest common multiple of b and 10?
1810
Calculate the lowest common multiple of 2 and 13449*(2/(-9))/(5 - (-68)/(-12)).
8966
Let u = 50 + -47. Suppose s + u*s = 56. Suppose j - s = 4. Calculate the smallest common multiple of 16 and j.
144
Let h = -1015933/1006452 - -3/18638. Let f = -13/121 - 4870/847. Calculate the common denominator of h and f.
756
Calculate the least common multiple of 1 + 0 + (-15 - 29108/(-19)) and 8.
6072
Let u(b) = b**2 + b - 1. Let s be u(0). Calculate the common denominator of (-243)/(-42) + s - -1 and (-248)/(-1116) - 10/(-72)*23.
84
Let n(i) = i**2 + 13*i + 44. Suppose -4 - 108 = -4*g. What is the least common multiple of n(-10) and g?
28
Let m = -100379/1416 - -5/354. Let l = m - -72. Find the common denominator of l and -93/14.
56
Find the common denominator of (-159)/(-136) - (-27 + 1375/50) and 53/74.
5032
Suppose -125 = 8*n + 171. What is the common denominator of 64/9 and (5/((-560)/24))/((-9)/n)?
126
Let q(t) = -2*t**2 - 19*t - 7. Let s be q(-9). Let r(u) = -2*u**s + 64*u + u**2 - 58*u + 0*u**2 - 7. What is the lowest common multiple of 13 and r(4)?
13
Suppose -39*q = -38*q - 1501. What is the common denominator of -59/49 and 40/(-14)*79/q?
931
Let n = -11/12 + 163/180. Let j = -6659/5 - -40529/30. Calculate the common denominator of j and n.
90
Let n = 76 - 31. Suppose 4*g - n = -5*h, 3*g - 33 = -2*h - 2*h. Calculate the smallest common multiple of -1 + 1*60/6 and g.
45
Let j = 17263/88 + 288715/44. Let w = j - 6770. Find the common denominator of w and 33/23.
184
Suppose 4*a - 4*z = 480, 2*a + 4*z = 19 + 221. Suppose -r = -7*r + a. What is the lowest common multiple of r and 4?
20
Let s = 32890318087/2436 + -13501772. Let h be 723/(-252) + 0 + 3. Let k = h - s. Find the common denominator of k and 57/4.
116
Let f be (9/(-228))/(1324/16). Let d = f + -333221/201248. Find the common denominator of 91/76 and d.
608
Calculate the common denominator of -34 and ((-372)/(-35) + (-16)/(-120))/(-36).
378
Let b(r) = -72*r + 451. Let w be b(8). Suppose a - 12 = -m, 4*a = 2*m + a - 19. What is the least common multiple of 2/(5/7*(-50)/w) and m?
77
Let x = 7967261/350 + -22764. Calculate the common denominator of -79/756 and x.
18900
Let o be (71/3)/((-6)/(-9)). Let n = 11688 - 93769/8. Let a = n + o. Find the common denominator of -65/8 and a.
8
Let p = -28 - -598. Suppose 5*j - 250 = p. What is the smallest common multiple of 9 and j?
1476
Let n = -815 - -1707/2. Let z(f) = -2032*f - 4. Let v be z(-4). Let b = -129941/16 + v. What is the common denominator of n and b?
16
Suppose 388*i - 377*i + 55 = 0. Suppose -3*n = -5*x - 572, 3*n + 94 = -x - 6. What is the common denominator of ((-2)/i)/(x/(-105)) and -63/5?
40
Let c = 351998/8379 - 2045/49. Find the common denominator of c and -23/57.
171
Suppose 12*m + 9*m + 103488 = 0. Find the common denominator of 77/6 and m/(-7320) + 6/(-15).
366
Suppose -9*n + 48*n = 6240. What is the smallest common multiple of 1120 and n?
1120
Suppose -3*p - p + 212 = 4*y, 5*p = 5*y + 225. Suppose -3*r - 36 = -3*n, 4*n - p + 13 = -2*r. What is the least common multiple of 40 and n?
40
Suppose -19370 = i + 2815. Let n = 99211321/4472 + i. Let p = n + -95031/4472. What is the common denominator of p and 29/9?
36
Let b be (1/(-30012))/(9/1728282). Let h be -3 - (34 + -38 + 5050/5002). Let i = h - b. Calculate the common denominator of i and 109/42.
126
Let t be ((-16)/72)/((-2)/36). Suppose 3*a + 8*x - 46 = 12*x, 34 = 5*a + t*x. Calculate the least common multiple of a and 317.
3170
Let k = -116 + 174. Let v = -1316 - -1314. Calculate the common denominator of v + k*(-3)/240 and 50/7.
280
Suppose -6*f - 115 = 4*a - f, -2*f + 2 = 0. Calculate the lowest common multiple of 40 and (28/6)/((16/a)/(-4)).
280
Let y = -17 - -37. Calculate the common denominator of (y - 23)/((-2)/31) and (-351)/(-10) - (-2)/5.
2
Let r(u) = u**2 + 128*u + 3197. What is the smallest common multiple of 4395 and r(-34)?
4395
What is the least common multiple of (3 + 7/(-2) - 0)*-50 and 53 + (-24)/(24/8)?
225
Suppose 0 = -3*b + x - 161, 0 = b - 5*x + 10*x + 27. Calculate the smallest common multiple of 6 and b*(-3)/6 - (-16)/(-4).
66
Let n = 5870 + -5632. Calculate the least common multiple of n and 680.
4760
Let f(y) = -10*y + 206. Let m be f(22). Calculate the least common multiple of ((-182)/49)/(-13) + (-3832)/m and 6.
822
Let u(t) = -8*t + 260. Calculate the least common multiple of u(31) and 1164.
1164
Let o = 128 - 104. Suppose 0 = -0*w - w + o. Suppose -4*v + 83 = 5*t, -2*t + 6*t + 5*v - 70 = 0. What is the lowest common multiple of t and w?
120
Let k = -5844 + 40869/7. Calculate the common denominator of -103/98 and k.
98
Let m(p) = p**2 - 13*p - 14. Let f be m(10). Find the common denominator of 5*7/140 + (-111)/f and -103/10.
110
Calculate the common denominator of (-210)/420 + 2/(7170/1851) and 3/478.
2390
Suppose 26508 = 56*z + 14389 - 17113. What is the lowest common multiple of z and 44?
11484
Let b(g) = -g**3 - 32*g**2 - 239*g + 204. Calculate the least common multiple of 100/6 - (-4)/(-6) and b(-13).
400
Suppose 2*a = 5*a - 3. Let y = -6915 - -6893. What is the common denominator of 49/74 and (-82)/(-8)*(a + 26/y)?
814
What is the lowest common multiple of 505 and ((-2152)/(-32) + -9)*12 - -8?
3535
Let m = 31162532217/207760 - 7349616/49. Let u = m + -3/5936. Calculate the common denominator of u and -39/49.
245
Let h(n) = -154*n - 5. Let w be h(-1). Suppose 4*o - w = 111. What is the least common multiple of 85 and o?
1105
Find the common denominator of 21/32 and 1/(-8)*-1*138/120.
160
What is the common denominator of 72/(-66) - (-41656)/33264 and -59/1701?
3402
Suppose 5*a + 4 = -21. Let z be (-18)/(2 - a/(-5)). What is the smallest common multiple of ((-192)/z)/((-4)/(-6)) and 20?
80
Let t(d) = -51*d + 26*d + 26*d + 3. Suppose -2*p + s = 4*s - 9, s = 2*p - 5. Calculate the lowest common multiple of p and t(-2).
3
Let b be 2 - (1 + (-5 - -2)). Suppose -6*m - 279 = -297. Suppose 5*h - m*h = -4*k, b*h - 28 = -k. What is the lowest common multiple of 2 and h?
8
Calculate the common denominator of -61 - -73 - 174377/14490 and -31/4370.
39330
Let s = -1/25734 - 165124/64335. Let o = 26328 - 77386/3. Let p = -528 + o. What is the common denominator of p and s?
30
Let o = 114008/15 - 7606. Calculate the common denominator of (54/(-72))/(27/6)*-110 and o.
15
Let m = 184 + 160. Suppose 2*x - 1056 = -f, 0 = -x - 5*f + m + 202. Calculate the least common multiple of 20 and x.
5260
Let m(d) = -57*d + 3964. What is the lowest common multiple of 33 and m(68)?
264
Suppose -644*c + 725*c = 330237. What is the smallest common multiple of 4530 and c?
40770
Let x be 2/(-6)*-9 + 1. Suppose -2*h = x*c + 14, 4*h + 2 = 5*h - c. What is the common denominator of (-17)/(-1)*h/(-6) and -127/12?
12
Let o = -2 + -39. What is the common denominator of -25/128 and ((-12)/(-16)*o)/18?
384
Suppose -3*j + 41 = 4*f - 18, 69 = 5*f - j. Suppose 2*b = f + 34. Calculate the least common multiple of 124 and b.
744
Suppose -5*s = 3*d + 60, -2*s + 7*s = -2*d - 55. Calculate the lowest common multiple of 10 and (3 + 0)/((27/(-34))/s).
170
Suppose 8*t - 46 - 2 = 0. Let h(m) = 2*m**2 + 9*m + 19. Calculate the lowest common multiple of t and h(-7).
54
Let k = -295 + 7671/26. Suppose -4*z = 16, -41*f + 36*f + 5*z + 255 = 0. Find the common denominator of k a