
6795
Let a = 113008 + -41360881/366. Calculate the common denominator of -76/27 and a.
3294
Calculate the common denominator of (-34937)/(-966)*((-6)/28 - 2/(-4)) and 133/282.
282
Let v(a) be the third derivative of -a**5/30 + 11*a**4/24 - 4*a**3/3 - 3*a**2 - 21*a. What is the least common multiple of 230 and v(4)?
460
Let d(u) = -u**3 - 11*u**2 - 4*u - 9. Let b be d(-11). Suppose 30*l = b*l - 40. What is the smallest common multiple of 30 and l?
120
Let d be -20*-3*1/12. Suppose d*b - 11*b = -336. Suppose -22*y = -8*y - b. What is the least common multiple of y and 3?
12
Let q be 2/((-3)/(-2) + -1). Suppose -t = 3*z - 0*z - 17, q*t - 3*z - 38 = 0. Calculate the lowest common multiple of t and (-54)/(-162) + (-2)/(-3).
11
Suppose 2*w - 5*w = l - 8, -3*l + 16 = w. Suppose -4*b + 2*c - 102 = -378, 0 = -5*b - l*c + 360. Calculate the least common multiple of 14 and b.
70
Let v = 288690 + -68708323/238. What is the common denominator of v and -13/4?
476
Let z = -19/1711 + -39193/1709289. What is the common denominator of 119/222 and z?
1998
Suppose -3*l + 0 + 3 = 5*r, 4*r + 3*l = 0. Suppose 0 = -2*i + 2*d + 26, 23 + 15 = r*i - 2*d. What is the common denominator of 85/18 and 522/i*(-3)/45?
90
Let b = -167 + 167. Find the common denominator of 173/(-80) - (2 + b)/(-2) and -21/10.
80
Let f = 32215/858 + -414/11. Let l = 673951/26 + -25917. Find the common denominator of f and l.
78
Calculate the smallest common multiple of (18/6)/((-1228)/(-408) + -3) and 180.
3060
Let z be (-5 + (3 - 1 - 1))/(-2). Let f(g) = 59*g - 2. Let x be f(z). Suppose x = 2*b - 60. Calculate the smallest common multiple of 8 and b.
88
Let h(u) = 389*u - 3. Let v be h(-1). Let y = 560 + v. Calculate the common denominator of 3/8 and 277/y + (-20)/(-140).
24
Suppose -5*l + 11*l + 54 = 0. Let v(z) = z**2 + 6*z - 22. Let q be v(l). Suppose q*i + 12 = n, i + 13 = 4*n - 92. What is the lowest common multiple of 9 and n?
27
Suppose -3676 + 598 = -171*k. What is the smallest common multiple of 664 and k?
5976
Let o = -5537/4720 - -43/80. Calculate the common denominator of o and -2 + 26/(1820/(-405)).
826
Let a = 13188121/1164 + -11330. Let s = a - -14353/3492. Calculate the common denominator of -3*3/(567/5) and s.
63
Suppose 6*v = 5*v + 18. Calculate the lowest common multiple of 18 and (-17 + 12)/((-3)/v).
90
Let g(k) = 1062*k + 713. What is the lowest common multiple of 390 and g(6)?
42510
Let g = 2/6455 + 78729/71005. Calculate the common denominator of g and -23/35.
385
Let u = 52/5 - 389/35. Let p = 146185 + -730906/5. Find the common denominator of p and u.
35
Let u = 21/1201 - -35803/81668. Find the common denominator of u and 115/12.
204
Suppose -o + 5*w + 81 = 0, 17 = o + 3*w - 40. Let z = 36 - o. Find the common denominator of -33/7 and 51/30*z/(-28).
28
Suppose -26 = 4*v - 2*o - 1526, 4*v + 5*o = 1514. Let d = -38/59 - -6213/944. Calculate the common denominator of ((-89)/4)/(v/(-16)) and d.
752
Find the common denominator of -49/814 and (-45)/(-8)*216/6660.
1628
Suppose 1104 = 737*d - 741*d. What is the common denominator of 23/4 and (-6)/8 - 231/d?
92
Suppose -15*g + 119 = -14*g. Let w = 129 - g. Let c(i) = -i**3 + 7*i**2 - 3*i - 3. Calculate the smallest common multiple of c(3) and w.
120
Let t = 21529 + -194261/9. Let u = t + 53. Find the common denominator of u and 53/11.
99
Suppose -8*f + 1557 = 381. Calculate the common denominator of (-1)/((-12)/(-10))*f/(-40) and (-4)/22*292/(-16).
176
Let b = 3372 - 3356. What is the least common multiple of b and 208?
208
Let p be -327 - 3/(3/(-7)). Find the common denominator of 101/8 and ((-3704)/(-32) + -7)*2/p.
128
Let p = 41 + -50. Let q = p + -40. Calculate the common denominator of (q/(-2))/(10 + -12) and 25/22.
44
Let z = -619/27 + 70/27. Calculate the common denominator of z and -55/651.
651
Suppose -18462 = 15*l + 19*l. Let q = -508 - l. Calculate the smallest common multiple of q and 28.
140
Let n = 4586 - 137609/30. Suppose -4*w - 8*q = -4*q - 8, -4*q = -3*w - 22. Calculate the common denominator of n and (1*w/60)/((-83)/14857).
30
Let p = -41515 - -190263249/4583. Let n = p + 187783/137490. What is the common denominator of n and -22/45?
90
Let w be (-16)/80 + (-467523)/110. Let s = w - -4248. What is the common denominator of s and 2/20*(-231)/6?
220
Let b(p) = -2*p + 54. Suppose -11*m + 7 = -4. Let d = m - -15. What is the lowest common multiple of b(d) and 14?
154
Let n(g) = 8*g + 20. Let z(r) = -7*r - 21. Let s(t) = -3*n(t) - 4*z(t). Let j be s(-5). Suppose 24 + 4 = j*a. Calculate the least common multiple of a and 7.
7
Find the common denominator of -131/2436 and (-14510)/4640 + -3 + 6.
9744
Let l be (-6032)/(-5) - (-18)/(-45). Suppose 0 = 5*i + 10, i + 2*i + l = -4*x. Let a = x + 910/3. Find the common denominator of a and 33/10.
30
Let t = 35511 + -60750. Let y be 2*t/(-36) - -2. Let k = y + -1393. Calculate the common denominator of 131/48 and k.
48
Suppose -124*c + 142266 = 7*c. What is the lowest common multiple of c and 3?
1086
Let a(s) = 480*s - 21. Let c be a(1). Let l = -446 + c. Calculate the lowest common multiple of l and 8.
104
Suppose -5*d + 9*d = -80. Let k(h) = -2*h - 28. Calculate the lowest common multiple of 118 and k(d).
708
What is the least common multiple of 304 - 3 - (-2 - -3) and 480?
2400
Let x = -1885 + 20765/11. Let z = 2/6161 - -141601/314211. Find the common denominator of x and z.
561
Suppose 0*v - 5928 + 828 = -10*v. What is the lowest common multiple of 340 and v?
1020
Suppose -4*l + 4*k - 85 = -7*l, -4*k = -3*l + 77. Suppose 0 = -81*m + 246 - 3. What is the smallest common multiple of l and m?
27
Find the common denominator of (-543)/(-1512)*-7 + 3*3/6 and -43/303.
7272
Calculate the common denominator of (332/6)/(1 + 3) and (-11)/4455*-8535 + -22.
54
Let p(u) = -u**2 - 7*u + 6. Let k be p(4). Find the common denominator of -95/12 and (k/240)/((-24)/(-20)).
144
Let a = -31 - -33. Suppose 14*l = 7*l + 196. Find the common denominator of 3/(-10)*(600/l)/a and 51/16.
112
Suppose -17 = -4*j + 79. Suppose 4*f - j = 2*k, 4*f = -k - k + 32. Suppose 3*g + 120 = f*g. What is the least common multiple of g and 9?
90
Let q = 12477/28 + -788281/1932. Let c = -282/23 + q. Calculate the common denominator of c and -28/71.
213
Let a(c) = -477 - 3*c**2 + 466 + 2*c + 4*c**2. Let i be a(-4). Calculate the common denominator of -73/16 and 2 - (i - (-46)/32).
16
Let g be (4/6)/((-40)/660). Let u(v) = v**3 + 12*v**2 - 12. Calculate the smallest common multiple of 8 and u(g).
872
Let i(c) = c**2 - 6*c + 27. Suppose 4*n = -59 + 71. Calculate the lowest common multiple of 54 and i(n).
54
Let t(m) = -3*m - 4*m + 3*m + 3*m. Let g be t(0). Let y = g + 12. Calculate the smallest common multiple of 14 and y.
84
Let t(x) = x**3 + 6*x**2 - 7*x + 4. Let z be t(3). Let y be (-2)/(-3 - 2012/(-672)). Calculate the lowest common multiple of (y/z)/(2/(32/6)) and 94.
658
Find the common denominator of 16/1981 and 24 + (-489768)/40752*2.
5943
Let x = 15061/6669 - 384/247. Calculate the common denominator of x and 1/48.
432
Suppose 4*f + 4*a - 104 = 0, 20*a + 14 = f + 19*a. Calculate the least common multiple of f and 796.
3980
Let y be 11136/(-30) - ((-2)/(-5))/(-2). Let x = 376 + y. Calculate the smallest common multiple of x and 155.
155
Suppose 254*n - 92016 - 122586 = 214150. Calculate the least common multiple of n and 48.
10128
Let s be (-30)/(-50) - (-99)/(-15). Calculate the smallest common multiple of 2 and 5474/98 - s/(-7).
110
Let y = 4156 + -16541/4. Let s be -7*630/9*(0 + 1). Calculate the common denominator of (-810)/s*14/4 and y.
28
Let j(d) = d**2. Let x(s) = -s**3 - 19*s**2 - 12*s + 25. Let f(a) = 5*j(a) + x(a). What is the lowest common multiple of 20 and f(-13)?
60
Let h = 1535171/4836636 - 13/31612. Calculate the common denominator of 57/136 and h.
1224
Calculate the least common multiple of -21*(-1)/14*4 - 2 and (-2024)/(-264) - -7*3/9.
20
Suppose 2*g - 149 - 75 = 0. Suppose t - 2 = 3*t, 232 = 3*z + 5*t. Let a = g - z. What is the least common multiple of 30 and a?
330
Let c(f) = -32*f**2 + 5*f - 2. Let d(w) = 2*w**2 + 35*w + 19. Let i be d(-17). Let s be c(i). Calculate the common denominator of (-574)/s - 11/55 and -81/20.
60
Suppose 68 - 13 = 5*q. Suppose 6*o - 47 = -4*d + o, 5*o - q 