**3 + 4*n**2 - 2*n - 2. What is the lowest common multiple of 26 and i(-4)?
78
Let d = 129 + -102. Calculate the smallest common multiple of 12 and d.
108
Let k = 54667/16 + -3415. Let r = k + -23/80. Calculate the common denominator of 41/6 and r.
30
Suppose -9*l = -45 - 18. Calculate the lowest common multiple of l and 7.
7
Let k(s) = 3*s + 3. Let n be k(6). Suppose n = 3*l - 12. What is the least common multiple of l and (-15)/(-12) + (-2)/8?
11
Let w = 14 + -5. Let k = w - 4. Calculate the common denominator of -77/12 and -1*(605/18)/k.
36
Let p be (-8)/(-6)*912258/240. Let h = 5076 - p. Find the common denominator of -49/4 and h.
20
What is the common denominator of 5/((-100)/8) + -2 and (-460)/(-42) - 2/7?
15
Let f = 41956181 - 18964204797/452. Let v = f + 6/113. Calculate the common denominator of v and 105/(-4) - (-3)/(-12).
4
Let w = 19 - 17. What is the smallest common multiple of 5 and 2 + w + 7 + 0?
55
Let x(p) = p**2 + 1. Let o be x(2). Suppose 2*s - s - 27 = -o*z, -28 = -4*s - 4*z. What is the least common multiple of s and 10?
10
Let y(j) = -j**3 + 6*j**2 + j + 6. Let m be y(6). Suppose 0*p + m = 2*p. What is the least common multiple of p and (-1 + 22/(-14))*-7?
18
Let y = 2019/4 + -439. Let q(d) = -3*d**2 + 3*d - 2. Let c be q(-4). Let x = y + c. Calculate the common denominator of -51/11 and x.
44
Let w be -5 + 6 + (-14189)/6. Let x = -2358 - w. What is the common denominator of x and -3/20?
60
Let c be ((-12)/5)/((-2)/(-20)). What is the common denominator of 2/(0 + c/58) and (1/4)/((-3)/(-102))?
6
Let b(y) be the first derivative of y**2/2 + 5*y + 5. Let j be (1 + 13)/(2 + 0). What is the lowest common multiple of b(j) and 6?
12
Suppose -28 = -2*p + 4*t, -p - t + 19 = -4*t. Suppose -p*z + 2 = -6*z. What is the smallest common multiple of 7 and 0/3 + (0 - z)?
7
Suppose -2*n = -n - 7. Let q be -2 + (-20)/(-2) + 2. Suppose -4*h - h = -q. Calculate the lowest common multiple of h and n.
14
Suppose 6 = 4*j - 154. Suppose 3*u - j = -u. What is the least common multiple of u and 20?
20
Let d = 14 + -4. Let v(p) = -4*p - 2. Let x be v(-8). Suppose -10 = -5*l - 3*n + x, -5*l = -5*n. Calculate the lowest common multiple of d and l.
10
Let j = 50/13 - 1371/299. Calculate the common denominator of j and -25/9.
207
Find the common denominator of -22/7 and 3 + (34/(-50))/((-4)/30).
70
Let n(z) = -z + 5. Let y(u) = u**3 + 10*u**2 - 10*u + 5. Let t be y(-11). What is the smallest common multiple of n(t) and 3?
33
Suppose -h = -0*h - 4. Calculate the common denominator of 109/6 and h/16*(-70)/(-8).
48
Suppose -u + 1 + 6 = 0. Calculate the smallest common multiple of u and (4/6)/(-2 - (-224)/108).
63
Let n = 105113/38 + -16841597/6042. Let b = -7/159 + n. Calculate the common denominator of b and ((-332)/18)/(16/(-12)).
6
Suppose 0 = -6*y + 3*y + 5*z + 65, -4*y + 79 = z. Calculate the smallest common multiple of y and 2.
20
Suppose -4*d + 9 = -d. Suppose 2*l + 6 + 0 = -4*u, 2*l + 2*u = 0. What is the smallest common multiple of d and l?
3
Let s be 2/(-7) + (-18500493)/106806. Let b = 4/2543 + s. Let p = -184 - b. Calculate the common denominator of p and 33/2.
2
Calculate the common denominator of (-2)/6*315/110 and -107/18.
198
Calculate the common denominator of ((-3)/21)/((-12)/(-553)) and 93/4.
12
Let g = 40 + -31. Calculate the lowest common multiple of 9 and g.
9
Let c(m) = 3*m - 4. Let l be c(8). Suppose -j - 5*n = -2*n - 12, -n = -5*j - l. What is the common denominator of 2 + j - (-51)/(-42) and -89/18?
126
Let l be 1 - (-2 - (0 - 0)). Suppose 0 = l*z + z - 68. Suppose -2*v - z = -53. What is the least common multiple of 14 and v?
126
Let o(a) = -8*a + 3. Let w be o(-3). Suppose -l - 7 = -w. Calculate the smallest common multiple of l and 2.
20
Let x(i) = i - 3. What is the smallest common multiple of x(10) and 8?
56
Suppose 0 = f + 5*t - 17, -5*f + 41 = 4*t - t. Suppose -3*u = u - 8. Calculate the smallest common multiple of u and f.
14
Suppose 3*z + 14 = 68. Suppose -4*m - z = -l, 0*l + 3*m = l - 15. Calculate the common denominator of l and 37/5.
5
Find the common denominator of 81/16 and 404/8*(-1)/9.
144
Let a(w) = w**2 - 5*w + 4. Suppose 5*r = 20 + 10. What is the lowest common multiple of 8 and a(r)?
40
Suppose 2*j + 5*a = 42, -5*a = -4*j + 74 - 20. Suppose 3*z - 53 = -17. What is the smallest common multiple of z and j?
48
Let n = -265554791/8707 + 30499. Let x = 339533/174140 + n. Calculate the common denominator of -25/12 and x.
60
Let b = 4823 - 96349/20. What is the common denominator of (-2)/7 + 442/224 and b?
80
Suppose -152 = -4*c + 2*a, -2*c - 3*a + 92 = -0*a. Let b = c + -30. Let q = 3 + -2. What is the smallest common multiple of b and q?
10
Let v = -10 - -18. Calculate the lowest common multiple of 11 and v.
88
Suppose -v - 3 = -r - 1, -4*r + 8 = v. Suppose r*y = -y + 24. Calculate the lowest common multiple of 4 and y.
8
Suppose -4*p = -32 - 0. Calculate the least common multiple of 3 and p.
24
Let q = 31141/4383 - -3/487. What is the common denominator of 145/66 and q?
198
Suppose -g + 57 = 18*g. What is the smallest common multiple of g and 9?
9
Suppose -9 = 4*s - 29. Let b be (-1 - s)/(-3)*-2841. Let y = -56931/10 - b. Calculate the common denominator of y and 37/16.
80
Let m = 61835559/16 - 3859753. Let g = 4971 - m. Let s = g - -109/16. What is the common denominator of -131/18 and s?
72
Suppose 0 = -4*g - 2*c + 28, -5*g + 2*c + 2 = -33. Suppose 4*x + 20 = 4*b + 5*x, -3*b = -2*x - 4. What is the lowest common multiple of b and g?
28
Let x(l) = 3*l**2 - 3. Let k be x(5). Let c = -70 - k. Find the common denominator of 19/4 and (c/42)/((-4)/6).
28
Let h = -47/14 - 11/14. What is the common denominator of (-30)/(-7) + 0/(-2) and h?
7
Suppose -2*q = 12 - 172. Let n = 31 - -29. Suppose 0 = -3*a - 5*h + q, -a - 5*h = a - n. What is the lowest common multiple of a and 10?
20
Find the common denominator of (-28)/(-27)*102*4/64 and 43.
18
Suppose 12 = 2*j + 2*u - 3*u, 4*u + 12 = -j. Calculate the least common multiple of j and (36/14)/(2/14).
36
Suppose 7 = w - 5*f - 10, -5*w - 5*f - 5 = 0. What is the smallest common multiple of 8 and w?
8
Suppose -3*a - 116 = -2*r - 2*r, 5*r = 5*a + 200. Calculate the common denominator of ((-3)/a)/((-1)/6) and -31/22.
22
Find the common denominator of (-542)/(-24) + (-2)/(-12) and -61/9.
36
Let s(a) = a**3 + 7*a**2 + 6*a + 6. Let t be s(-6). Calculate the common denominator of -103/10 and ((-4)/48)/(t/(-356)).
90
Suppose 3*a - 101 = u, 42 = 2*a - 5*u - 8. Suppose 0 = 4*c - 9*c + a. Let f = 12 - c. Calculate the least common multiple of f and 2.
10
Suppose -4*a - 4 = -6*a. Suppose 6*u - 2*u - 120 = -2*p, 5*u - a*p - 168 = 0. Calculate the smallest common multiple of (7/(-14))/((-1)/u) and 14.
112
Let r(s) = s**3 - 9*s**2 + 11*s - 12. Let g be r(8). Let x(n) = n**2 - 3. What is the smallest common multiple of (6/(-4))/(g/(-80)) and x(3)?
30
Let z = 16 + -2. Suppose -3*b + 2*b + z = 0. Calculate the least common multiple of 2 and b.
14
Let x be 295*(0 - (-16)/20). Find the common denominator of (-1)/3 - (-106)/12 and (x/(-8))/((-3)/2).
6
Let t = 43 - 31. Suppose -4*u + 4*r = r - 39, -3*u + 51 = 5*r. What is the least common multiple of u and t?
12
Let f = 1270103/72 - 17639. Find the common denominator of f and -47/18.
72
Let q = 3303251/4274757 + 16626/4439. Let a = q + 4/107. Let b = -178/9 - a. What is the common denominator of b and -17/3?
3
Suppose -2*l - 6 = 2*j, -2*l - 5 = -l. Suppose 2*h - 4 = 0, -j*y + 2*h + 0 = -4. Suppose -6 = -3*i + 12. What is the smallest common multiple of y and i?
12
Let t = -3835/516 - -58/43. Calculate the common denominator of t and -13/12.
12
Suppose f + f = -4*r + 138, -51 = -r + 5*f. What is the smallest common multiple of 28 and r?
252
Let t(l) = -6*l - 2. Let y be t(-4). Find the common denominator of ((-1)/4)/(y/60) and 3/88*74*-2.
22
Suppose -w = 3*q - 5*q - 48, 0 = w - 5*q - 57. Let h = 1939 - 5765/3. Calculate the common denominator of w and h.
3
Let i be (-200)/14 - (-4)/14. Let p = i + 25. Let o = 2 - -1. Calculate the least common multiple of p and o.
33
Suppose -35 = -3*g + 8*l - 3*l, -4*g + 2*l + 70 = 0. Let w be (-68)/(-5) - 2/(-5). Calculate the lowest common multiple of g and 228/w - 4/14.
80
Suppose -4*u + 34 + 30 = 4*z, -2*u