 What is the least common multiple of n and 8?
8
Let k be 5*(6/15)/1. Suppose 2*i - q + 24 = 0, 29 + 13 = -5*i - k*q. Find the common denominator of (-1257)/30 + (-4)/i and -119/20.
20
Let h = 62147/27 + -2301. Let f = h - -271/108. What is the common denominator of f and 47/20?
20
Find the common denominator of 127/(-12) + 2*-1 and (30/(-14))/(8/(-70)).
12
Let w(g) = -16*g**3 + 2*g**2 - 4*g - 4. Let i be w(-3). What is the common denominator of 27/5 and i/80 + (-4)/(-10)?
40
Suppose -3*i = -i + 4. What is the common denominator of ((-102)/(-22) + i)*-1 and -64/9?
99
Let o = -11 - -21. Let m = o + -7. Calculate the least common multiple of 11 and m.
33
Calculate the common denominator of 616/(-24) - (1 + -2) and 3/11.
33
Suppose 3*x - 2*x - 133 = 0. Suppose -2*z + 6*z = -24. Find the common denominator of -28/11 and z/2 + x/(-6).
66
Let f = -40 + 64. Find the common denominator of 151/36 and (156/8)/(f/(-7)).
144
Let b = 35/2 + -21. Suppose 10*c - 18*c = 256. What is the common denominator of c and b?
2
Let i(d) = -d + 5. Calculate the smallest common multiple of 3 and i(-1).
6
Let x = 17 + -9. Suppose -4*v = -7*v + 3*y, -5*y = 3*v - 32. Suppose -20 = -v*k + 12. Calculate the lowest common multiple of k and x.
8
Let m = -138/13 + 1346/117. Find the common denominator of m and -17.
9
Let p = 7 + -5. Calculate the smallest common multiple of (24/p)/(8/4) and 7.
42
Let g = 176641/18 + -9816. Find the common denominator of 121/6 and g.
18
Let d = -426 + 2994/7. Let g = -924 + 1937/2. Calculate the common denominator of g and d.
14
Let c = -3 - -10. Let b = -3 + c. Suppose 0 = -b*o + 37 + 19. What is the lowest common multiple of o and 16?
112
Let w(v) = -v**2 + 4*v + 6. Let j = -40 + 31. Let o(q) = -q - 7. Calculate the smallest common multiple of o(j) and w(5).
2
Let i be (-138)/18 - 2/(-3). Find the common denominator of 8 + i + 186/(-16) and -65/4.
8
Suppose -5*h + d + 47 = -h, -3*h + 37 = d. What is the lowest common multiple of 6 and h?
12
Let t(w) = -w**3 - 8*w**2 - 2*w + 1. Let c be t(-6). What is the common denominator of 127/(-20) + 14/(-35) and c/24 - (-1)/3?
8
Let a(f) = f**3 + 4*f**2 + f + 1. Let v be 8/12*114/4. Suppose -d - v = -5*d - 5*z, 3*d - 8 = -5*z. Calculate the least common multiple of d and a(-3).
77
Suppose 0*y - y + 8655 = -3*w, 0 = 4*y - 4*w - 34636. Let a be (-2)/8 + y/(-12). Calculate the common denominator of a/(-36) - 8/36 and -79/2.
6
Suppose 5*q - 5 = -5*t, 5*q - 3*t + 35 = 2*t. What is the smallest common multiple of 18/1*(q - -4) and 14?
126
Suppose z + 0*z + 378 = 0. Let h = -4519/12 - z. Find the common denominator of -65/18 and h.
36
Suppose -5*b - 5*i + 15 = 0, b - 5*b + 3*i + 12 = 0. Suppose -21 = -k + 5*h, k + 0*h - b = -4*h. Calculate the least common multiple of k and 9.
99
Let k = 3413 - 88651/26. Let m be (-595)/234 - (0 - 1). Let g = m - k. Calculate the common denominator of 81/10 and g.
90
Suppose -k - 174 = -4*k. What is the lowest common multiple of k/10 - 4/(-20) and 10?
30
Suppose 4*b = 4, 2*b - 74 = -4*d - 0*b. What is the lowest common multiple of 182/52*8/14 and d?
18
Let o be (6/(-4))/((-8)/10774). Let x = o + -2015. Find the common denominator of 75/4 and x.
8
Suppose 3 = 2*d - 1. Suppose 6*b = d*b + 288. Calculate the common denominator of 786/b - (-2)/3 and -43/20.
60
What is the least common multiple of 34 and (1 - -1)/(-9 + 492/54)?
306
Suppose -4*d + 30 = 222. What is the smallest common multiple of 4 and (-2)/(-3) - d/9?
12
Let m(r) be the third derivative of -r**4/8 - 7*r**3/6 - 2*r**2. What is the least common multiple of 7 and m(-6)?
77
Let r be 156/(-27) - 4/18. Calculate the common denominator of ((-22)/(-8))/(r/28) and -109/18.
18
Suppose 0 = -3*g + 12, 2*u + 3*g + 12 = g. Let k be ((-2)/u)/(3/(-40407)). Let b = k - -2684. What is the common denominator of -43/6 and b?
30
Let g(s) = -3*s - 1. Suppose 9 = -3*l + 3*b, 4*b - b - 3 = l. What is the lowest common multiple of g(l) and 3?
24
Let k = 47 + -31. Calculate the common denominator of 48/7 and -6*17*(-4)/k.
14
Let k be (-14)/(-4) + (-1)/(-2). Suppose -k*t + 431 = 167. What is the common denominator of -83/2 and t/(-20)*(-8)/6?
10
Let i = -6 + 18. Suppose -5*m + 29 = 3*h, -2*h + 5*m = h + 11. Suppose -3*a - 3*t = a - 76, 12 = h*t. Calculate the least common multiple of i and a.
48
Calculate the smallest common multiple of -2*(5 + -2 + -4) and 5.
10
Suppose 2*g + 2 = 6. Let c = -2 + 0. Calculate the smallest common multiple of 18 - (2 - (g - c)) and 18.
180
Suppose 4*a = 2*a + 1512. Let m = a - 1417/2. Calculate the common denominator of (-3)/5 + (-588)/270 and m.
18
Suppose -3*k + 10 = 3*w - 2*w, 3*w = -k + 6. Let q(f) = -17*f**3 + f**2 - f. What is the common denominator of q(1) and k*-3*74/(-144)?
8
Let o be 40846/12 + 10 + -13. Let p = o + -3386. Calculate the common denominator of p and 19/9.
18
Suppose -6 = -h - 2*h. Calculate the least common multiple of 9 and h.
18
Let b be 2/10 - 8/(-10). Calculate the common denominator of (4 - b) + 53/8 and 19/18.
72
Let h = 7/103 - 599/1236. Calculate the common denominator of -127/12 and h.
12
Let k(x) = x**3 - 3*x**2 - 2*x + 1. Let c be k(4). Let y(j) = -3*j - j**2 - c*j - 10 + j. Calculate the least common multiple of 6 and y(-8).
42
Suppose 3*y + 2*f - 11 = 0, 48 = 4*y - 3*f - f. Suppose -5*l = 3*b - 6*b + y, -5*l - 10 = 0. Calculate the common denominator of (-395)/(-30)*b/(-1) and -91/10.
30
Suppose 6*w - 20 = w. Let o be (4/(-10))/(1/10). What is the common denominator of -71/3 and w/48*246/o?
24
Let i = -37 + 41. Calculate the least common multiple of 22 and i.
44
Suppose -4*b = -8 - 80. What is the lowest common multiple of 12 and b?
132
Suppose 0 = x + 1 - 4. Suppose 5*n = -x*s - 0*s + 63, -5*n + 3*s = -57. Calculate the lowest common multiple of n and 18.
36
Let l = 6 + -3. Let s be -1*(-2)/4*1308. Calculate the common denominator of -3/4 and s/20*l/9.
20
Suppose -4*h = 2*k - 56, -4*k + 44 = 2*h + 4. Calculate the smallest common multiple of 4 + h/(-2) + 3 and 7.
7
What is the common denominator of 1/2 - (-83)/(-4) and (-4)/(-16) - -1 - 1?
4
Let z = 179/9 - -193/36. Calculate the common denominator of z and (6/32)/((-3)/372).
4
Suppose 4*h + 2*r = 60608, -4*h = -2*h + 2*r - 30308. Let p be (-1)/3 + h/4. Let a = p + -3769. What is the common denominator of a and -51/4?
12
Let n(m) = m**2 + 2*m - 3. Suppose -5*j - 29 = -2*p, 3*p + j = 4*p - 7. Calculate the smallest common multiple of n(3) and p.
12
Let b = 10 + -4. Suppose 2*k + 32 = b*k. Calculate the smallest common multiple of k and 0 + 23 + 1*-1.
88
Calculate the least common multiple of (-8)/16 + 13/2 and 12.
12
Suppose 3*g - 52 = 122. Suppose -3*p - 6 = -p. What is the common denominator of 97/8 and p/18 + g/96?
16
Let m = 6/4169 + 370981/41690. Let q be 670*1 + 1/2. Let b = q + -712. Calculate the common denominator of m and b.
10
Let y = 557269/6435 - 698/195. Let c = y - 868/11. Calculate the common denominator of c and -14/3.
9
Suppose 3*k - 10 + 1 = 0. Suppose -k*l + 5*l - 12 = 0. Let i = 10 + -6. What is the lowest common multiple of l and i?
12
Let x(r) = -r**2 + 1. Let h = 0 + 0. Calculate the smallest common multiple of x(h) and 7.
7
Let a(j) be the first derivative of -j**2 - 12*j + 6. Calculate the lowest common multiple of 9 and a(-9).
18
Let g = 69 + -61. Calculate the least common multiple of g and 10.
40
Suppose 0 = 5*m - 8*m + 30. What is the least common multiple of m and 4?
20
Let i = 9/11 - -713/110. What is the common denominator of 43/12 and i?
60
Let r(w) = -3*w. What is the least common multiple of 12 and r(-2)?
12
Let z = 53 - 45. Calculate the least common multiple of z and 14.
56
Let c(g) = 275*g**3 + 3*g + 2. Let y be c(-2). Let m = 6671/3 + y. Let x = -4804 + 28723/6. What is the common denominator of x and m?
6
Suppose -1008 = k - 5*k. Suppose -15 = 3*t, -22 = 3*w + 2*t - 6. What is the common denominator of (-1)/w - k/80 and 113/18?
180
Let z = -7992/5 + 1592. What is the common denominator of z and 31/3?
15
What is the common denominator of (-1 - (-125)/(-9))/(24/(-18)) and -69/28?
84
Let b = -72/49 - -4505/98. Let c = -6 - -9. What is the common denominator of -2 + (c - (-198)/4) and b?
2
Suppose -y = y - 8. Let r be ((-3)/(-5))/((-530)/y). Let h = 11371/5300 - r. What is the common