14
Let t be 1194/15 + 6/15. Suppose -i = t + 502. What is the common denominator of 9/(-6)*i/(-54) and 131/6?
6
Let z = 19 + 1. Calculate the lowest common multiple of ((-34)/(-5))/(-1)*-5 and z.
340
What is the lowest common multiple of 18 and -120*(-4)/(13 - 5)?
180
Let w = -23 + 32. What is the least common multiple of w and 0 + 28/6 - 4/6?
36
Let a = -603 + 615. Calculate the lowest common multiple of 176 and a.
528
Suppose w + 28 = -2*u, 6*u = u + 3*w - 81. What is the common denominator of -25/182 and u?
182
Let m = -2177317769/530 + 4108155. Let h = m + 23/53. Find the common denominator of h and -119/10.
10
Let a = 61514/9 - 29772173/4356. Calculate the common denominator of -67/14 and a.
3388
Let c = -22081/1884 + 43/314. Let d(i) = -15*i**2 - 7*i. Let b be d(10). Let q = b + 18869/12. Calculate the common denominator of q and c.
12
Let w(t) = -2*t**2 - 2*t + 2. Suppose -3*v = 2*d + 2, -v - 2*v - 8 = -d. Let c be w(v). Let l = c - -6. What is the least common multiple of 14 and l?
28
Let g = 225727/18 - 12537. Let k = 2778 + -2789. Calculate the common denominator of g and k.
18
Let q = -5956667/30 + 198521. Let n = -5/29 + -2914/87. Let v = n - q. What is the common denominator of v and -21/20?
20
Let o = -1 + -2. Let s(g) = -g**2 + g - 34. Let p be s(13). Find the common denominator of -9/8 and (-4 - o) + p/28.
56
Suppose -17*r = c - 14*r - 4, -2*c + 18 = r. What is the lowest common multiple of c and (-522)/(-10) - (-15)/(-75)?
260
Suppose -v + 5*v - 224 = 0. Suppose 133 - 46 = 4*k - 3*p, 0 = -2*k + 4*p + v. Calculate the smallest common multiple of 40 and k.
360
Let o(r) = r + 28. Calculate the least common multiple of o(16) and 10.
220
Suppose -7*p + 6*p + 149 = 0. Let x = -1793/12 + p. Calculate the common denominator of x and -41/8.
24
Suppose 2*t + 4 + 14 = 3*r, 2*r + 3*t - 12 = 0. Suppose 8 - 2 = y. Calculate the smallest common multiple of y and r.
6
Let x = 313/2 - 1379/9. Let z be 4/((-24)/2821) + -4. Let v = z - -1535/3. Find the common denominator of v and x.
18
Let g = 678/7 + -7303/84. Let l be ((-3)/30)/((-1527)/(-12)). Let r = -47341/5090 - l. What is the common denominator of r and g?
60
Let v(r) = -52*r + 76. Calculate the smallest common multiple of 90 and v(-2).
180
What is the lowest common multiple of 10 and (-60)/(2*(-12)/16)?
40
Suppose 3*v - 8 - 4 = 0. Suppose v*j = -j + 45. Let l = -343 + 347. What is the smallest common multiple of j and l?
36
What is the least common multiple of -3*(18/(-24))/(27/264) and 1042?
11462
Find the common denominator of -48/35 and (1 - -1) + (-252)/110.
385
Let w(l) = 22*l**2 + 2*l. Let q be w(1). Suppose 0 = 4*h - 0*h - q. Calculate the smallest common multiple of h and 70.
210
Suppose -2*d - p = -393, 5*p = 7*d - 2*d - 975. What is the least common multiple of 63 and d?
1764
Let j(v) = 2*v**3 - v**2 + v + 6. Suppose w + 10*w + 3*w = 0. What is the lowest common multiple of 6 and j(w)?
6
Let m(v) = v**3 + 6*v**2 + 5*v + 2. Let d be m(-5). Let k be 35/d - 2/(-4). Let r = k + -13. What is the smallest common multiple of r and 9?
45
Suppose -9*h + 2*h - 931 = 0. What is the common denominator of h/76*((-4)/9 + 0) and 9/8?
72
Suppose 2*t = 4*t - 44. Calculate the least common multiple of (-32)/(-5) - (-16)/(-40) and t.
66
Let y(c) = c**2 - 3*c. Let p be y(3). Suppose 20 = 5*h, -3*h + p*h = 3*n - 18. Suppose 10 = 4*m - n. What is the least common multiple of m and 5?
15
Let h be 6 + 1/2*-6. Suppose 4*g = 4*z + h*g - 48, 2*z - 34 = -2*g. Suppose 18 = 5*b + 4*x - 37, 3*x + z = 4*b. Calculate the least common multiple of b and 3.
21
Let y(k) = -k**3 - 2*k**2 - 1. Let z(g) = g**2 + g - 24. Let a be z(-5). Calculate the lowest common multiple of -5 + 2/a*-14 and y(-3).
8
Let x = -3773 + 101851/27. Calculate the common denominator of x and -137/36.
108
Suppose 2*o - 3*x - x + 18 = 0, 2*o = 2*x - 10. What is the common denominator of 20/33 and 142/6*(o - (-20)/22)?
33
Let l = -484 + 700. Calculate the lowest common multiple of l and 432.
432
What is the least common multiple of ((-2)/(-7))/((-13)/(-182)) and 60?
60
Let h = 11 + -8. Suppose -2*x - 3*x = h*c - 3, -c + 8 = 4*x. Let u = 11 + c. Calculate the smallest common multiple of 10 and u.
70
Let j = -21 - -26. Suppose r + 1 = 3*y, 4*y + j*r = r + 12. Let t(u) = -u**3 + 3*u**2 + 6*u - 5. Calculate the least common multiple of y and t(4).
3
Let b(r) = 3*r**2 - 20*r - 31. What is the lowest common multiple of b(8) and 147?
147
Let b = 302363/20 + -15114. Let z(w) = w**3 - 6*w**2 + 4*w + 2. Let g be z(5). Find the common denominator of g + (36/80)/(-3) and b.
20
Let d = 2868 + -94612/33. Calculate the common denominator of -32/45 and d.
495
Suppose 0 = -m + 4*n - 121, 2*n = m - 0*m + 123. Let u = -11 + 16. What is the least common multiple of 2/(-8) - m/20 and u?
30
Let o = 94829/8 + -11843. Let s = -78 + 1091/14. Find the common denominator of s and o.
56
Let d(v) = -2*v + 8. Let h be d(-7). Suppose 3*k = 2*k + h. Calculate the lowest common multiple of 48/2 - (-6)/3*-2 and k.
220
Let s = 8766195124/18499 - 473874. Let w = s + -1202393/388479. Find the common denominator of 137/30 and w.
210
Let q(p) = 4*p**2 + 54*p + 32. Let h(t) = -t**2 + t + 18. What is the smallest common multiple of q(-13) and h(0)?
18
Let z = -163/38 + 7501/1824. Find the common denominator of z and -59/15.
480
Let c(k) = k**3 + 3*k**2 - k. Let a be c(-3). Suppose a = q - 1. Let n = 60 - 38. What is the smallest common multiple of q and n?
44
Let f(i) = -37*i + 4 + 11*i + 52 + i**2. What is the least common multiple of 4 and f(24)?
8
Let y = -42590549/318 + 133933. What is the common denominator of -35/18 and y?
954
Let o(q) = q - 3. Let j be o(7). Let n be ((-1248)/260)/((-6)/(-860)). Find the common denominator of ((n/6)/j)/(-2) and 59/2.
6
Suppose 0 = 23*u - 43 - 187. What is the smallest common multiple of u and 134?
670
Suppose 3*w + 1 = 10. What is the smallest common multiple of -1 + w/(-6) + 399/6 and 6?
390
Let w = -26686/7 + 639505/168. What is the common denominator of 145/72 and w?
72
Suppose 0 = -3*n - 25*i + 20*i + 31, 4*i - 56 = -5*n. Calculate the lowest common multiple of 8 and n.
24
Suppose 10*z = 18*z - 200. Calculate the least common multiple of 5 and z.
25
Let l = 1361 - 32521/24. Let w = 395123761/14 - 28207699. Let t = 15419 - w. Find the common denominator of t and l.
168
Calculate the smallest common multiple of 24 and (12*(-4)/(-30))/((-34)/(-5950)).
840
Suppose -13264 = 4*r - 0*l + 3*l, 3*r + 2*l = -9949. Let h = r + 29900/9. Calculate the common denominator of h and 1/154.
1386
Let o be (6/(-4))/(1/(-2)). Suppose -o*u = u - 76. Suppose 1 = -3*b + u. What is the lowest common multiple of 9 and b?
18
Let b be ((-6)/5)/(12/(-30)). Suppose b*o = 4*o - 45. What is the common denominator of (-6)/8*(-66)/o and -1/12?
60
Let k(w) = -w**3 - 37*w**2 - 254*w - 44. What is the lowest common multiple of 360 and k(-28)?
360
Let y = 330901109/156 + -2121140. Let f = 150/13 - y. Let z = -813/4 - -200. What is the common denominator of z and f?
12
Let b = -151/16 + 6217/624. Let t = -10/4367 + 493651/78606. Find the common denominator of b and t.
234
Let o(y) = 15*y + 201. What is the least common multiple of 168 and o(-11)?
504
Let f = 65 - 60. Suppose -6*i + i + 2*d = -106, -76 = -3*i - f*d. What is the least common multiple of 22 and i?
22
Let i = -25447 + 2061178/81. Calculate the common denominator of i and -56/27.
81
Suppose 4*t + t - 135 = 0. What is the smallest common multiple of 279 and t?
837
Let u = 420 - 410. Suppose -2*c = 5*y - 120, -y + 2 = -0*y. What is the lowest common multiple of c and u?
110
Let l(h) = -h**3 - 4*h**2 + h - 9. Let r be 2 - (14 + -4) - -3. What is the lowest common multiple of 196 and l(r)?
2156
Let f = 0 + 0. Suppose f = 3*b - 8 - 1. Find the common denominator of b - 5*(-9)/(-24) and -36/11.
88
Let f = 566 - 4565/8. Suppose -4*l - 2*x - 20999 = 3*x, 2*x = -2*l - 10498. Let h = 78638/15 + l. Find the common denominator of f and h.
120
Let a = 137/114 - 2/57. Find the common denominator of a and -107/42.
42
Let u be ((-10)/(-1))/((-670)/(-25)). Let s = u - 1398/335. Find the common denominator of s and (-4)/8 + (-5)/14.
35
What is the common denominator of 137/96 and 1610/3150 + (-3)/18?
1440
Suppose 0 = 5*c - 5*s 