*w. What is the smallest common multiple of 12 and y?
48
Let l(t) = 12*t - 4. Let k be l(6). Let q = 1249/18 - k. Find the common denominator of q and -133/12.
36
Let i = 33 + 13. What is the least common multiple of 18 and i?
414
Let o(d) = -d**3 - 9*d**2 + 11*d + 11. Let q be o(-10). What is the common denominator of -10*((-213)/(-165) - q) and 32/3 + 3/6?
66
Calculate the common denominator of -27/20 and 2/4 - (-54)/10.
20
Suppose -41*h + 16 = -37*h. What is the least common multiple of h and 17?
68
Let s = 42 - 24. Calculate the common denominator of ((-987)/66)/7 + 3 and 19/6*30/s.
198
Let z = 23951464745746753/96464 + -248294335153. Let x = 4/6029 + z. What is the common denominator of x and -65/14?
112
Let y(h) = -h + 30. What is the least common multiple of 14 and y(-16)?
322
Let k = 12 - 8. Let r(n) = n**2 + 6*n + 3. Let w be r(-9). What is the lowest common multiple of k and (-3*1)/((-18)/w)?
20
Let a be (2 + 0)/((-18)/(-9)). What is the common denominator of a + 0 + 63/15 and -25/9?
45
Suppose -156*w = -158*w + 24. What is the lowest common multiple of 4 and w?
12
Suppose -6*h = -h - 80. Calculate the common denominator of 316/4*(-2)/h and 67/16 - (2 - 0).
16
Let c(b) be the third derivative of 1/3*b**3 + 0 - b**2 + 1/20*b**5 - 1/12*b**4 + 0*b. What is the smallest common multiple of 3 and c(2)?
30
Let r = 184/5 + -36. Find the common denominator of r and 0 + 77/(-2) - -2.
10
Suppose -5*i = -4*i - 18. Let t = -6656/291 - -20/97. Calculate the common denominator of t and 1*136*(-3)/i.
3
Suppose 4*a + 5 = -5*t, -3*a + 3*t - 10 = -8*a. Suppose y = 10 - a. What is the lowest common multiple of 6 and y?
30
Suppose -2*t + 13 - 41 = 0. Let c(u) = u**3 - 3*u + 2. Calculate the least common multiple of (-56)/(-6) + t/(-21) and c(2).
20
Let t = 25 - 19. What is the least common multiple of 15 and t?
30
Let i = 5 + 7. Calculate the smallest common multiple of 8 and 128/i + 3/9.
88
Suppose -g + 5*g = 0. Suppose g = -b - 2*b - 255. Find the common denominator of 1/2*b/(-11) and 19/8.
88
Let x be (-45)/(-2044)*(364 - 4). Let s = -5/73 + x. Find the common denominator of 3*-3*2/(-15) and s.
35
Let f(n) = n**2 + 3*n - 6. Let q = -10 - -5. Let m be f(q). Suppose m*y = 7*y - 24. What is the least common multiple of 2 and y?
8
Calculate the lowest common multiple of ((-4)/5)/((-16)/120) and 6/4*(-56)/(-21).
12
Suppose 7 = 3*p - 8. Suppose 0 = p*q - 2 - 3. Calculate the common denominator of 75/(-18) - (q + 1) and 69/10.
30
Let d = 8260 - 132097/16. What is the common denominator of d and 51/4?
16
Calculate the least common multiple of (-9)/(-5) - (-3)/15 and 4.
4
Let f(q) = q**2 - 2*q + 6. Let j be f(4). Calculate the smallest common multiple of 9 and (j/(-1))/(1 - 3).
63
Let z(h) = -h**3 + 2*h**2 + 2*h + 4. Let v be z(3). Find the common denominator of (94/(-18))/(-2 + v) and 5/2.
18
Let w be 0 + 49 - (2 + 0). Suppose 28 + w = 5*l. Suppose -2*p + 40 = -4*m, p + 0*p = -5*m - l. What is the lowest common multiple of 4 and p?
20
Let w be (-8)/32 + 2506/(-8). Let b = -360 - w. What is the common denominator of b and 41/8?
8
Suppose -l + 7 = -26. Let j = 47 - l. What is the smallest common multiple of j and 22?
154
Suppose -73 = 5*k + 12. What is the common denominator of ((-6)/4)/((-27)/k) and 251/60 - (-4)/24?
180
Let y(k) be the third derivative of -k**6/120 - k**5/60 - k**4/24 + k**3/6 - 2*k**2. What is the least common multiple of y(0) and 9?
9
Let a = 8 - 6. Suppose -2*x = 2*l - 14, 3*x - 3 = a*x. Suppose 0 = -d + 4*p + 6, 2*p - 4*p = d - 12. Calculate the smallest common multiple of d and l.
20
Let f = 161/15010 - -2/395. Let c = f - -6347/1140. What is the common denominator of c and 81/8?
24
Let y be 181 + (2 + 1 - 3). Find the common denominator of -67/2 and y/(-40) + 4/10.
8
Suppose 6*t - 16 = 2*t + x, 2*t + 3*x = -6. Let a = t + 8. What is the lowest common multiple of a and 10?
110
Suppose 0 = 2*j + p - 8, -5*j + 2*p + 20 = -3*p. Suppose -3*w - 27 = -j*m, 5*m - 3*w + 1 - 31 = 0. What is the least common multiple of m and 7?
21
Let f = 152 - 305. Calculate the common denominator of 93/10 and f/60*5/4.
80
What is the common denominator of 0/(-2) + (-675)/72 and 161/30?
120
Let q = -10 - -10. Suppose q*o + 5*v - 20 = -2*o, -5*o - 4*v = -33. What is the smallest common multiple of o and 11?
55
Let d(b) = -b**3 + 13*b**2 - 9*b - 14. Calculate the lowest common multiple of d(12) and 16.
176
Let j(z) = 3*z - 3. Suppose 0 = -5*y + 2*t - 1 + 5, -t = 4*y - 11. Suppose y*w + 9 = n + w, 15 = -3*w. Calculate the least common multiple of 8 and j(n).
72
Let n(r) = -r**3 - 9*r**2 + r + 13. Let j be (-1 - 23)/3 + -1. Calculate the smallest common multiple of n(j) and 5.
20
Let o be (-1)/3 - (-5282)/42. Let u = -1781438397/140 - -12724433. Let r = o + u. Find the common denominator of r and 27/10.
20
Suppose -4*d = -10 - 2, -d = -s - 48. Calculate the common denominator of -111/10 and s/(-27)*(-117)/(-100).
20
Let f = -19/54 + 140/27. Calculate the common denominator of -85/24 and f.
24
Let r = -7 - -6. Let k = r - -1. Suppose k*y + 40 = 5*y. Calculate the least common multiple of y and 20.
40
Find the common denominator of (-2)/(-16) - (-244)/48 and 91/16.
48
Let l(m) = 169*m**2 - 4*m - 2. Let q be l(-4). Let a = -21711/8 + q. Find the common denominator of 73/3*(-3)/(-2) and a.
8
Suppose 9*m - 18 = 27. What is the smallest common multiple of m and (-15)/2*2/(-3)?
5
Let u(d) = -1703*d - 6. Let h be u(-4). Let g = -68167/10 + h. Calculate the common denominator of g and 71/2.
10
Calculate the common denominator of 113/36 and (-4 + (-35)/(-8))/((-2)/33).
144
Let r(d) = -d**3 + 10*d**2 - 4*d - 1. Let v be r(9). Suppose 0*w = -w - 3, -4*w = -4*p + v. What is the smallest common multiple of 12 and p?
24
Let r(o) = 4*o**2 - o - 1. Let n be r(-1). Let y(z) = z**2 - 4*z + 4. Let q = 0 - -1. What is the lowest common multiple of q and y(n)?
4
Suppose -q - 12 = -2*d, 0 = -5*d - 3*q - q + 17. Suppose -30 = -2*v - 2*l, -2*v + d*v - 29 = l. What is the lowest common multiple of 6 and v?
66
Let m be 59956*2*(-8641)/1140. Let c = m - -908914. Let w = c - -7/57. Find the common denominator of -53/2 and w.
10
Find the common denominator of (18/32)/((-14)/(-168)) and -3/10.
20
Suppose -r = -6*r + 200. Calculate the lowest common multiple of r and 20.
40
Let o = -13 + 3. What is the common denominator of -15*(-1)/((-72)/o) and 49/(-10) - (-4 - -1)?
60
Let u = -1 - -7. Let t(b) = 10*b - 1. Calculate the least common multiple of u and t(1).
18
Let f(x) = x**2 - 2*x - 4. Let v be f(8). Let k = -27/2 + v. Calculate the common denominator of 74/21 and k.
42
Let j be 0 + -3 + 1 - -4. Let d be j/(-8)*(-55900)/6. Let r = -2336 + d. Calculate the common denominator of 68/3 and r.
6
Let t be (0 - 3) + (-14)/(-2). Suppose 0*s - s - t*d - 12 = 0, 5*s + 3*d - 25 = 0. What is the lowest common multiple of 4 and s?
8
Suppose -3*s = z + 13, -5*s - 41 + 12 = -2*z. Let i = -33 + 36. Calculate the smallest common multiple of i and 44/6 + z/(-6).
21
Suppose 22 = -5*k + 3*k + 2*a, -3*a = k + 3. Let c = k + 1. Calculate the lowest common multiple of (c/3)/((-12)/18) and 12.
12
Suppose -2*o + q = -96 - 3, -102 = -2*o - 2*q. What is the smallest common multiple of 10 and o?
50
Let x = -782 - -7811/10. Find the common denominator of x and 59/11 + (1 - 1) + -1.
110
Let p(u) = u**3 - u**2 + u + 3. Let d be p(0). Suppose -d*g + 4 = -20. Calculate the smallest common multiple of g and 2/4*(14 - -4).
72
Suppose -h = -2*v - 2, 1 + 12 = 3*h + v. Calculate the common denominator of (-177)/30 - 2 - 2 and (-258)/h*3/9.
10
Let c = -31/75 + -7493/1650. Find the common denominator of c and -11/14.
154
Suppose 3*f - 2 = 2*f. What is the least common multiple of f and ((-10)/3)/(2/(-3))?
10
Let c = -1 - -4. Let z = c - 3. Suppose 4*x - 5*v - 3 = 0, 1 = -z*x + 3*x - 4*v. Calculate the least common multiple of x and 6.
42
Suppose 0 = -t - 4*t + 10. Suppose -3*f + 5*f - 4 = 0. Suppose -f*y + 2 + 0 = 0. What is the lowest common multiple of t and y?
2
Suppose 0 = -p + 5*k - 23, -k + 0*k = -3*p + 1. What is the smallest common multiple of p and 12?
12
Suppose 0 = t - 4*t + 24. Calculate the lowest common multiple of t and 1.
8
Suppose 0 = 5*w - 2*m - 32, 2*w + 3*m - 21 = -2*w. What is the least common multiple of 84 