Suppose -21*h = 94 - 472. Calculate the least common multiple of 36 and h.
36
Let a = 31079/1371 + -1/457. Let z(f) = 840*f - 4. Let y be z(3). Let b = 17652/7 - y. What is the common denominator of a and b?
21
Let z be (-1278)/(-27) - 2/(-3). Let c = z - 32. What is the lowest common multiple of c and 32?
32
Let b(v) be the third derivative of 0*v - 1/60*v**5 - 1/6*v**3 + 1/12*v**4 + v**2 + 0 + 1/24*v**6. Calculate the least common multiple of b(1) and 8.
40
Let g = 40 + -36. Calculate the least common multiple of g and 11.
44
Let r be 2 - (-1754)/879*-1. Let h = 62441/7032 - r. Let c = 75/112 + 67/16. Calculate the common denominator of h and c.
56
Calculate the common denominator of -35/16 and (3090/(-860))/(0 - 3).
688
Suppose t - 6*t = 2*s - 5, 2*s + 3*t - 3 = 0. Let j be -1*(-4)/2 - s. Find the common denominator of -5 and ((-25)/15)/(j/(-21)).
2
Let u = 2703593735093/236083733580 + 4/98862535. Let m = u + -7/199. Find the common denominator of m and -43/14.
84
Let x = 33 + -31. What is the smallest common multiple of 7 and x?
14
Suppose -10 + 4 = 3*q. Calculate the common denominator of -2 - (0 - 51/8) and ((-33)/12)/(q/24).
8
Let v = 108 + -46. Suppose 0 = -5*r - 2*b + 131, -5*r = -3*r - 4*b - v. Suppose 0*w - r = -3*w. What is the smallest common multiple of w and 9?
9
Let v be (-31052)/(-6) - (-5)/(-15). Let y be 1/(-3) + 683450/132. Let z = v - y. Find the common denominator of 31/18 and z.
198
Let n(o) = -23*o**3 - o**2 + 2*o + 2. What is the least common multiple of n(-1) and 16?
176
Suppose 2*m - h - 16 = 0, 18 = 2*m - 5*h + 3*h. Let x = 9 - m. What is the smallest common multiple of 2 and x?
2
Suppose -3*f = -0*f - 6. Suppose 0*c + 2*c - 14 = f*g, -2*c + g = -9. Suppose -c + 0 = -2*d. What is the lowest common multiple of 7 and d?
7
Let v be (-30)/744*2*34. Let y = 1294887827/248 + -5221332. Let q = y - v. What is the common denominator of q and 103/12?
24
What is the lowest common multiple of 8 and (44/12 + -2)*3?
40
Let m = -6071/4 - -1552. Let t = -28 - 5. Let j = t + m. Calculate the common denominator of j and -79/10.
20
Suppose 0 = 5*d - 320 - 400. Suppose 60 = -g + 6*g. What is the lowest common multiple of g and d/14 + (-6)/21?
60
Suppose -2 = 5*p - 47. Calculate the lowest common multiple of 5 and p.
45
Suppose -2*q - 12 = -5*q. What is the smallest common multiple of 5*((-4)/2 + 3) and q?
20
Let c = -19097/16780 + -10/839. What is the common denominator of -4 - 588/(-88) - 1 and c?
220
Let y = 17941 - 394777/22. Calculate the common denominator of -73/40 and y.
440
Let f(g) = g - 3. Let v be f(5). Let y(l) be the second derivative of 5*l**3/6 + l**2 + l. Calculate the least common multiple of y(v) and 2.
12
Let k = 9/131 + -6455/524. Calculate the common denominator of -59/3 and k.
12
Suppose 0*k - 4*k = -4*z - 24, 5*k + 3*z - 46 = 0. Suppose k*c = 3*c + 40. Calculate the lowest common multiple of c and 1 - (-1 + -3) - -2.
56
Let t = 2954 + -32451/11. Let l(s) = 5*s. Let j be l(-2). Calculate the common denominator of t and (-4)/j + 184/140.
77
Let n = 88 - 84. Calculate the smallest common multiple of 40 and n.
40
Let q = 475/4 - 123. What is the common denominator of q and (-1)/3 - (-968)/48?
12
Let q be (-2)/9 + 68/(-18). Let b(u) = -u**2 + 4 - 5*u + 4*u + 2*u. What is the common denominator of b(q) and -53/2?
2
Let u be (-2 + 1 - -9) + -1. Suppose y + 0 = u. Calculate the lowest common multiple of 3 and y.
21
What is the common denominator of -9/11 and -1 + (-19)/18 + (3 - 0)?
198
Let u(k) = -k - 2. Let v be (2 + -1)/((-5)/15). What is the least common multiple of u(v) and 10?
10
Let j = -12 + 20. What is the lowest common multiple of j and 4?
8
Let s = -26 - -38. What is the common denominator of -11/12 and (6/(-60))/(s/1270)?
12
Suppose 5*p + 27 = -4*t - 27, 0 = -5*p + 4*t - 86. Let j(m) = -m + 9. Let f be j(4). What is the common denominator of (129/15)/(p/f) and 29/16?
112
Let q(d) = -d**3 - d**2 - 4*d + 1. Let g be q(7). Find the common denominator of g/(-10) - (-2)/(-5) and (-1)/(-6) + (-3)/9.
6
Let w = -85975/14 + 6144. What is the common denominator of w and -43/12?
84
Let j(o) = -o**2 - 2*o. Let h be j(-2). Suppose 5*v - 22 - 3 = h. Calculate the smallest common multiple of 11 and v.
55
Let m(a) = 5*a - 1. Let o be m(-1). Find the common denominator of o/(-21) + 213/14 and (4 - 416/108)*(51 - 3).
18
Let b = 24/25 + 447/550. Calculate the common denominator of b and 17/12.
132
Let n be (3/(-12))/(546/176). Let a = -2503/182 + n. Calculate the common denominator of a and (-1)/(44/126) + -1.
66
Suppose 0*x + x = 0. Let d = -1015 + 11218/11. Calculate the common denominator of ((-224)/(-18))/(-4) - x and d.
99
Let i be ((-6)/8)/(4/(-16)). What is the smallest common multiple of i + (-5 - (-7 + 3)) and 8?
8
Let i(v) = v**3 - 29*v**2 + 26*v + 64. Calculate the smallest common multiple of i(28) and 4.
8
Calculate the common denominator of (3/(-2))/(300/(-212)) and 65/16.
400
Calculate the common denominator of 53/2 and (18/(-240))/(3/(-36)).
10
Let o = -12307 - -123181/10. Calculate the common denominator of -19/40 and o.
40
Suppose 3*q = -k - 2*k + 21, 4*q = k + 8. Suppose -p = k*p. Suppose -3*w - 4*g - 20 + 66 = p, w + 4*g = 18. Calculate the lowest common multiple of w and 10.
70
Suppose -4*h = t + 43, h = -2*t + 4*t + 50. Calculate the common denominator of 107/10 and ((-3)/t)/(2/321).
30
Let a = 5243/17604 + -8/27. Let k = a - 2323/163. Let n = 5832/5 + -1162. Calculate the common denominator of k and n.
20
Suppose 4*c + 7 + 29 = 0. Let d be (2/6)/(3/c). Calculate the common denominator of -97/12 and (2 - (-29)/(-16)) + d.
48
Let t(c) = c**3 + 13*c**2 + 11*c + 8. What is the smallest common multiple of t(-12) and 4?
20
Suppose 2*l + 7 = 35. What is the smallest common multiple of 4 and l?
28
Let v = 414/11 - 1909/44. Let b be (-6)/10 + (-7498)/2744. Let g = b + -6/343. Calculate the common denominator of v and g.
20
Let v = -3 + 0. Let j(m) = 2*m**2 + 3*m - 4. Let p be j(v). Find the common denominator of 49/p + 5/10 and -31/10.
10
Let g = 2243 + -33599/15. What is the common denominator of -5/12 and g?
60
Suppose 2*l - 20 = -3*m, l - 27 + 3 = -5*m. Find the common denominator of -1/10 and 567/30 - 3 - m.
10
Calculate the common denominator of (176/24)/(32/9) and 79/12.
48
Calculate the common denominator of -41/2 and (-1)/8*6 + -12.
4
Suppose 5*p + x = 2*x + 60, -x = 0. What is the least common multiple of p and 22?
132
Let g = -5441 - -32537/6. What is the common denominator of g and 19/33?
66
Let h = -1325/4 - -339. Calculate the common denominator of h and 2/(-8)*(-714)/9.
12
Let l be (-2)/34*-32 + -3. Let n = l - 1131/68. Let y = 50/17 - -1209/34. Find the common denominator of n and y.
4
Suppose -k = -496 - 355. Let c = -11055/13 + k. Calculate the common denominator of c and 53/4.
52
Let c(p) = -129*p - 9. Let q be c(11). Let l = 14291/10 + q. Suppose 0 = a + 3 + 8. Calculate the common denominator of l and a.
10
Let a be 3/(-1*6/4). Calculate the lowest common multiple of 8 and (6/4)/(a/(-4)).
24
Calculate the least common multiple of 56/(-10)*45/(-18) and 11.
154
Let i(l) = -47*l + 12. Let z = 149/224 + 93/32. What is the common denominator of z and i(1)?
7
Let k = 6683/18 + -37381/90. Let u = k + 137/5. Calculate the common denominator of -77/8 and u.
24
Let n be (-2)/(-2) + -1 + 2. What is the common denominator of 71/12 and (-37)/n*(-6)/(-10)?
60
Let i = 16 + -11. Suppose -i*o - 135 = 5*g, -4*g - 80 - 3 = 3*o. Let p = 12/85 - 6569/170. Calculate the common denominator of o and p.
2
Let r = -359/2 - -176. Calculate the common denominator of -29/4 and r.
4
Let d = 150104 - 9006001/60. Let u = -7/5 + d. Find the common denominator of u and 95/22.
132
Let h be 2/(-11) + 560/55. Let a = 11 + -7. Suppose 0 = 5*y - a*w - 38 - 20, 0 = -5*w - h. Calculate the smallest common multiple of 8 and y.
40
Suppose -6*y = -y - 15. Suppose -4*n + 44 = 2*r, 5*n - y*r = 94 - 28. Calculate the smallest common multiple of 6 and n.
12
Calculate the lowest common multiple of (54/(-3))/(3/(-2)) and 5.
60
Suppose -6*r = -r - 80. Suppose -v = 3*v - 56. Calculate the smallest common multiple of v and r.
112
Let s = 3190 + -12835/4. Calculate the common denominator of 53/32 and s.
32
Let f = 17 - 7. Find the common denom