6031/1521 + 1160/9. Let r = 836/1521 + w. Find the common denominator of r and -51/4.
36
Let k(s) = -s + 1. Let d(l) = -l**2 - 3*l - 2. Let u(z) = -d(z) - 4*k(z). What is the lowest common multiple of u(-8) and 6?
6
Suppose -170 = -12*q + 2*q. Find the common denominator of q and -50/11.
11
Let j = -9 - -11. Calculate the least common multiple of j and (-13)/(-5) - (-10)/25.
6
Let t(x) = 98*x**3 + x. Let r be t(1). Suppose d + r = 5*y + 2*d, y - 4*d - 24 = 0. What is the lowest common multiple of y and 4?
20
Let v = -5 + 13. What is the lowest common multiple of 18 and v?
72
Let u = -35 - -55. What is the smallest common multiple of 78 and u?
780
Let h(g) = 20*g - 2. Calculate the least common multiple of 2 and h(2).
38
Calculate the smallest common multiple of -5 + 4 + -3 - -16 and 14.
84
What is the lowest common multiple of (-35)/(-15) + 1/(-3) and (-14)/56 + (-1)/(8/(-178))?
22
Calculate the common denominator of (2/(-12)*2)/(220/(-1914)) and -5/199.
1990
Suppose -2*g - 2*d + 18 = -0*g, 2*d = g + 6. Find the common denominator of g and -81/10.
10
Let n = 438329/24 + -18269. Find the common denominator of 55/14 and n.
168
Let a = 9771/16 + -612. Find the common denominator of -7/36 and a.
144
Suppose 0 = -5*y - 4*o + 25, -4*y + 0*y + o + 41 = 0. What is the lowest common multiple of 10 and y?
90
Let x(t) = 2*t**2. Let d = -5 - -6. Let m(s) = 7*s**3 + s**2. What is the lowest common multiple of m(1) and x(d)?
8
Let w be (-6)/(((-14)/(-3))/(-7)). Let z(a) be the second derivative of a**4/12 - 3*a**3/2 + a**2 - 2*a. What is the lowest common multiple of z(w) and 3?
6
Let v = -48686/21811 + -4/1283. What is the common denominator of v and -71/4?
68
Let a = 0 - 1. Let d = a + 7. What is the common denominator of 260/8*d/(-50) and -11/14?
70
Let l(n) = 3*n + 4. Calculate the least common multiple of 12 and l(8).
84
Let s = -924 + 1897/2. Let w = 151499539/14 + -10812166. Let i = w + -9223. Calculate the common denominator of i and s.
14
Let w = 36 + -3. Let q = -233 + 943/4. Find the common denominator of q and w/4*(-5)/10.
8
Find the common denominator of -71/12 and 3 - ((-179)/18 + 6).
36
Calculate the common denominator of 370/8*(-12)/(-150)*2 and -109/10.
10
Suppose -105 = 5*v - 2*v. Let p(n) = -n**3 + 7*n**2 + 6*n + 3. Let l be p(8). Let q = l - v. Calculate the lowest common multiple of 18 and q.
198
Let h(p) = -23*p**2 + 2*p - 2. Let k be h(2). What is the common denominator of (-276)/k*(-3)/(-4) and (-14)/(-77) + (-1107)/(-22)?
10
Let w(j) = j**2 - j - 4. Let t(v) = -v**3 - 3*v**2 - 5*v + 7. What is the least common multiple of w(4) and t(-3)?
88
Suppose -3*i + 348 = -i. Calculate the common denominator of 0/(-1) + (-339)/(-30) and i/40 - (-6)/15.
20
Let m = 1 + 0. Suppose -2*y = -3 - m. Suppose 2 = -h - 2*f - 1, -5*h = f - 3. What is the least common multiple of h and y?
2
Suppose 3*s = -3*q + 48, 4*s + 2*q = 3*q + 54. Calculate the common denominator of 145/12 and (-218)/20 - s/(-35).
12
Find the common denominator of -73/10 and 1302/91*(-3)/12.
130
Let m = -4499 - -54031/12. Let g(z) = -z**2 + 6*z - 9. Let w be g(7). Find the common denominator of -6*(66/w + 3) and m.
12
Suppose -2*n - 3*k = -33, -5*k + 31 + 64 = 5*n. What is the least common multiple of n and 30?
120
Let c be (-4)/(-6) - 1340/2208. Let k = 6403/920 - c. Calculate the common denominator of k and 494/(-90) - 4/10.
90
Let f(q) = q + 1. Let v be f(-1). Suppose y - 3*p - 26 = v, y - p = -4*p + 14. What is the smallest common multiple of y and 4?
20
Suppose f = -3, 3*z - 2*f + 226 = 76. Find the common denominator of 31/22 and z/18 - 2/(-4).
198
Let h = 19715/11 + -1791. Calculate the common denominator of h and -59/8.
88
Let t = -8 - -6. Suppose -4*f + 520 = -5*w, 49 = -3*w + 3*f - 260. Calculate the common denominator of 33/8 and t/(-8) + (-543)/w.
72
Let w(f) = -3*f - 8. Let z be w(-6). Let k(j) = 2*j**2 - j + j**2 - 2*j**2 - 7*j. Calculate the least common multiple of 2 and k(z).
20
Let x(h) = -h**3 - 14*h**2 + h + 19. What is the smallest common multiple of 9 and x(-14)?
45
Let h = -18300 + 732091/40. Find the common denominator of 81/2 and h.
40
What is the common denominator of 5/(-8)*130/175 and -133/12?
84
Suppose -4*o = 4*d - 28, 0 = -5*d - o + 46 - 3. Calculate the least common multiple of 9 and d.
9
Find the common denominator of (-146)/12*(-4 + 2) and ((-156)/30 - -5)/(12/310).
6
Let p = 7823/8 - 980. What is the common denominator of (-3 + (-25)/(-9))*20 and p?
72
Let o(k) = -k - 4. Let x be o(-7). Suppose -w = 2 - x. Find the common denominator of 2 - (23/10 + w) and -59/4.
20
Let q = -243829/30 + 8126. Calculate the common denominator of 77/18 and q.
90
Suppose 2*t + t - 5*c = -4217, -5*c = -20. Let z = 9843/7 + t. Calculate the common denominator of z and 51/2.
14
Let c(y) = -y**3 + 8*y**2 + y - 4. What is the smallest common multiple of 20 and c(8)?
20
Let u be (-2)/(-9) + (-6226246)/72. Let p = -87163 - u. Let j = p + 1990/3. Calculate the common denominator of 33/2 and j.
4
Suppose 3*j - 5*y + 16 = 0, -26 + 3 = 4*j - 5*y. Let g be (-6)/j*(-7 - 0). Calculate the smallest common multiple of (0 + -6)/(g/8) and 3.
24
Calculate the common denominator of (-8)/36 - 310/63 and -7/8.
56
Let i(m) = m**2 - m - 13. Calculate the smallest common multiple of i(-4) and 20.
140
Let o = 32255227/17690 + -105/1769. Let z = o + -1820. What is the common denominator of z and 137/6?
30
Let m(g) = g**2 + 8*g + 5. Let h be m(-5). Let n be (-16)/h*(-4)/(-46). Let k = n + 6/23. Find the common denominator of -17/3 and k.
15
Let r(l) be the third derivative of -l**4/8 + l**3/2 + l**2. Let m be r(3). Calculate the lowest common multiple of (-2)/((-3)/m*-2) and 14.
14
Let a = 2363/942 + -22887785/19782. Let m = a + 16738/21. Let g = 355 + m. What is the common denominator of g and 31/4?
36
Let x = 13231/1735 + -9/347. Calculate the common denominator of x and (19/(-8))/((-2)/12).
20
Let t(f) = f**2 + 6*f + 2. Let r be t(-6). Suppose r = g - 14. Suppose 0 = -3*o - 5*p + 28 + g, 2*o + 5*p = 26. What is the lowest common multiple of o and 14?
126
Let y be 1/2 - (-75)/10. Suppose -y*w + 12*w = 24. What is the lowest common multiple of 10 and w?
30
Suppose -5*a + 32 = -a + 3*f, 2*f + 16 = 2*a. Let z be (a/5)/(2/55). Suppose -2*r - 4 = -z. Calculate the smallest common multiple of 8 and r.
40
Let d be (38 - 2)/((-9)/(-6)). Suppose 4*o = 6*o - d. What is the smallest common multiple of 10 and o?
60
Let q be 1*-1 - 1561/(-1505). Let b = -9643/860 - q. What is the common denominator of (-1 - (-14)/18)*-12 and b?
12
Let s = 2 + -2. Suppose s = 3*u - 5 - 61. What is the lowest common multiple of 20 and u?
220
Let g(w) be the second derivative of w**5/20 - 7*w**4/12 + w**3/6 + w**2 + w. What is the least common multiple of 2 and g(7)?
18
Let h(z) = z - 2. Let f be h(7). Suppose f = -5*o, -2*m = -3*o + 7*o + 2. What is the smallest common multiple of m and (-1 + 1)/(-3) - -1?
1
Let u be 0 + (-5)/4 - 0. Let m = u + 41/20. Find the common denominator of m and 19/11.
55
Let k(r) be the third derivative of -r**6/120 - 2*r**5/15 - r**4/3 + 3*r**3/2 + 4*r**2. Calculate the lowest common multiple of k(-7) and 8.
16
Let n(f) = -f**2 + 4*f + 5. What is the lowest common multiple of n(3) and 10?
40
Suppose z - 12 = -2*k, 4 = -k + 2. Let f = 1 + 11. What is the least common multiple of z and f?
48
Let a = 1984 - 6019/3. What is the common denominator of a and -36/5?
15
Let b = 12967/9333 + -1/2074. Calculate the common denominator of b and (-130)/32*(-6 - -4).
72
Let w(z) = 14*z - 4. Let b be w(8). Calculate the least common multiple of 24/b + 140/18 and 18.
72
Let g = -9 + 15. Let f = -4 - -8. Let c = 16 - f. Calculate the least common multiple of g and c.
12
Calculate the common denominator of (-150)/6 - (-1)/2 and 79/8.
8
Suppose -46 = -2*b - 3*b - z, 2*z = -4*b + 32. Suppose 3*h + 3*q - 4 = 5*q, -3*q = -h - 1. What is the smallest common multiple of b and h?
10
Suppose 5*p = 3*p + 6. Suppose p*k - 3 = 3. What is the least common multiple of k and 16?
16
Let v be (2/(-571))/(4/(-10)). Let i = 38347/10278 - v. Calculate the common denominator of (3/(-72))/(21/868) and i.
18
Let n(u) = u**3 - 6*u**2 + 3*u - 8. Suppose 23*d = 19*d + 64. Calculate the lowest common multiple of n(6) and d.
80
Let n(q) 