= 2*m + 19. Calculate the common denominator of 35/3 and (20/w)/(8/10).
6
Find the common denominator of 57/8 and (16/672)/((-4)/45).
56
Let t = 12 - 7. Let v be (44/6)/(2/3). Let m = v - t. Calculate the least common multiple of m and 18.
18
Suppose 3*t - 6*t + 30 = 0. Calculate the least common multiple of 18 and (t/(-7))/(4/(-28)).
90
Suppose 4*f - 55 = -f. What is the smallest common multiple of 11 and f?
11
Let m = -31345/6 - -5199. What is the common denominator of m and (-2)/(-4) - (-40)/44?
66
Let x be (-1 + -31)/((-6)/9). Suppose 0 = -c + 5*c - x. Calculate the lowest common multiple of c and 22.
132
Let u(t) = -t**2 + 5*t - 2. Let b be u(4). Suppose b*v - 1 = 3. What is the common denominator of -4 + v + (-63)/(-4) and 83/6?
12
Suppose -151 + 23 = -2*y. Calculate the smallest common multiple of 18 and y.
576
Let w(p) = 4*p - 10. Let f be w(7). Suppose f + 10 = 2*g. Suppose 11 = 3*n - 4*b - 59, 3*n = -2*b + 46. What is the lowest common multiple of n and g?
126
Let p = 21/2 - 91/18. Find the common denominator of p and 32/3.
9
Let a(q) = -2*q**2 + 3. Let d be a(3). Find the common denominator of (7/(-5))/((-8)/d) and (-2)/6*(-1 + 2).
24
Suppose -g + 20 = -6. Suppose 4*v + 53 = 5*y, 4*y = -v + 40 - 6. Calculate the least common multiple of y and g/3 + 1/3.
9
Suppose -5 = 5*f - 0. Let d = 3 + f. Calculate the lowest common multiple of 10 and -4*(-2 - (-3)/d).
10
Suppose 0 = -2*a + 4*u + 40, -u - 24 = -2*a - 5*u. Calculate the lowest common multiple of 32 and a.
32
Calculate the common denominator of (-11)/44*170/(-3) and -33/2.
6
Let s = 12 - 8. Suppose 6*c = 7*c + s. What is the common denominator of -25/6 and 213/(-210) + c/14?
30
Let n(o) = 7*o - 5. Let x = 16 + -5. Let w = 15 - x. What is the least common multiple of w and n(3)?
16
Let f(d) = -d**3 - 7*d**2 - 10*d - 6. What is the least common multiple of f(-6) and 10?
90
Let j(o) = -o**3 - 13*o**2 - 15*o - 9. Let f = -36 + 24. Let z be j(f). Calculate the common denominator of 79/2 and (14/66)/((-6)/z).
22
Suppose 5*n - 350 = -0*n. Suppose -4*v = 3*y - 42, -2*v = -4*y + 3*v + 56. What is the lowest common multiple of y and (-1)/(-3) + n/6?
84
Suppose -4*z + 52 = i - 2*i, -z = -4*i + 2. Suppose -4*c + 1 = -3*c. Let u = 19 - c. Calculate the least common multiple of z and u.
126
Let y be (-32)/(-18) - (-2)/9. What is the common denominator of 24/7 and y/(-33)*-9*-1?
77
Let u be (-24293)/1362 + (-2)/3. Let l = -2/681 - u. What is the common denominator of 95/4 and l?
4
Suppose 2*b - 30 = 3*p, -4*p = -3*b + b + 32. Suppose -2*t - 5 = -5*m + 113, 14 = m + 2*t. What is the smallest common multiple of b and m?
132
Let r = 3267/7 + -124027/266. Calculate the common denominator of -9/8 and r.
152
Let z be 1*4 + (-1 - -2). Suppose z = o - 0. Suppose 0 = -s - o*l + 12, 4*s + 3*l - 19 = -5. What is the smallest common multiple of 12 and s?
12
Let r = -55/14 + -11/7. Let p = 1 - 1. What is the common denominator of 6*(p + (-19)/(-4)) and r?
2
Let o = -8 - -11. Suppose 2*w - 3 = -k - 2*k, -5*w + 21 = o*k. Calculate the least common multiple of 11 and w.
66
Suppose -3*n + 2*q + 16 = q, -n + 24 = -5*q. Suppose -4 = n*x - 2*x, -2*j - 2*x = -18. Calculate the least common multiple of j and 1.
11
Let v(h) = -h**2 - 17*h - 4. Let x be v(-16). Calculate the common denominator of (15/20)/(x/202) and -29/4.
8
Let m = -1018 - -5108/5. What is the common denominator of 4 + 1415/(-120) + (-6)/(-9) and m?
40
Find the common denominator of (426/8)/((-15)/(-10)) and 3/20.
20
Let m be (3/2)/3*16. Let c be (m/(-12))/((-3)/(-9)). What is the lowest common multiple of 6 and 5 + (-2 - (c + -3))?
24
Suppose 5*m + 0 - 20 = 0. What is the lowest common multiple of m and 8?
8
Suppose f - 4*b + 3 = 1, 4*b = -3*f - 22. What is the smallest common multiple of f/21 - (-58)/7 and 18?
72
Let f(i) = -i**2 - 11*i - 9. Let k be f(-9). Calculate the least common multiple of (-174)/(-9) + 6/k and 18.
180
Let f = -918 - -13756/15. Calculate the common denominator of f and 44/15.
15
Let k = -2689/86 - 10/43. What is the common denominator of k and 46?
2
Let y = -95/66 - -124/11. Find the common denominator of 83/20 and y.
60
Let b = 43249/14028 + 1/3507. Let v = -8587 + 10029613/1168. Let x = v + -56621/10512. Find the common denominator of b and x.
36
Let j(a) = a + 12. Let m be j(-9). Let y(s) = -20*s - 2 + m - s. Calculate the smallest common multiple of y(-1) and 18.
198
Suppose -w = 1 - 17. What is the lowest common multiple of w and 2/((-21)/(-9) - 2)?
48
Suppose c - 66 = -5*y - 13, -3*y - 3*c = -39. What is the lowest common multiple of 2 - 0 - (-2 + 0) and y?
20
Suppose -4*y - 3 + 11 = -4*d, -3*y = 3*d - 6. Suppose -4*l + y*l = -8. Calculate the smallest common multiple of 5 and l.
20
Let l(w) = -w**3 - 5*w**2 - 9*w - 7. Let b be l(-7). Let y be 16/b - 2 - -2. Let j = -3991/616 + y. Calculate the common denominator of -48/7 and j.
56
Let s = 2183/102 - 480/17. Find the common denominator of s and -41/14.
42
Find the common denominator of 22/(-15) + 1 - 1 and 149/24.
120
Let b = 9449142497/1276842 + -851/29694. Let l = 7400 - b. Let z = l - -1169/946. What is the common denominator of 95/16 and z?
176
Let t = -3/353 - 3135/4942. What is the common denominator of t and -9/10?
70
Suppose -11 = -b - 4. What is the lowest common multiple of 11 and b?
77
Let o(d) = -d**3 + 10*d**2 + 12*d - 9. Let z be o(11). Suppose -11 = -z*v + 11. Calculate the smallest common multiple of 7 and v.
77
Let w(s) = -4*s - 22. What is the least common multiple of 12 and w(-13)?
60
Suppose -3*a + 5*a = -2*q + 12, 2 = -3*a + 2*q. What is the common denominator of a/7*(-201)/12 and ((-3)/4)/(12/(-110))?
56
Let o(g) = g**2 - 12*g + 22. What is the lowest common multiple of o(10) and 8?
8
Let b = 849/70 - 77/10. Let d = 455 - 4091/9. What is the common denominator of d and b?
63
Let p be (-5)/10*(-30250043)/7. Let m = 2165493 - p. Let c = 4773 - m. What is the common denominator of -65/16 and c?
112
Suppose 3*j + 15 = 0, 3*j + 71 = 4*k - 2*k. What is the least common multiple of k and 36?
252
Suppose 2*o + 374 = 136. Let r = -68 - o. What is the smallest common multiple of 6/(-4) + r/6 and 6?
42
Let k = 10/1229 + 72431/9832. Calculate the common denominator of -22 and k.
8
Calculate the common denominator of ((-172)/8)/((-11)/(-2)) and 7/5.
55
Let o = -2/6123 - 520447/24492. What is the common denominator of o and -25/22?
44
Suppose 3*w + 87 = -4*l + 2*w, 5*l + 112 = 2*w. Let r = l - -42. Suppose -7*f - 3*d - 30 = -9*f, 4*f - 80 = -4*d. What is the lowest common multiple of f and r?
180
Suppose -n - 9 + 74 = -4*x, -n = -5*x - 70. Calculate the lowest common multiple of (81/n)/((-3)/(-10)) and 6.
6
Let k(m) be the third derivative of m**5/60 - m**4/8 + m**3/3 - 3*m**2. Calculate the smallest common multiple of 9 and k(4).
18
Let q = -329593/18 - -18305. Find the common denominator of 65/14 and q.
126
Suppose 0*f = -f + 8. What is the smallest common multiple of (9/6)/(4/24) and f?
72
Let o = 4402081/100230 - 1462/1285. Let s = 398/13 - o. Find the common denominator of -87/16 and s.
48
Let w = 82033/334097 + -15/61. Let d be 4557/(-21908)*(-238)/15. Let n = w + d. What is the common denominator of n and 43/22?
110
Suppose -5*m - 5*p = 61 + 294, -2*m + p - 130 = 0. Calculate the lowest common multiple of 1/(-3) + m/(-3) and 52.
572
Let k(w) = 5*w - 7*w - 23*w + 3 - 6. What is the least common multiple of 16 and k(-1)?
176
Let f(q) = q**2 - 13*q - 6. What is the lowest common multiple of 4 and f(14)?
8
Let p(b) = b**2 - 9*b + 12. Suppose 0 = -0*s + 5*s - 100. What is the lowest common multiple of s and p(10)?
220
Let a(k) = -k - 1. Let z be a(-3). Suppose 0 = z*c + c - 42. Calculate the lowest common multiple of 16 and c.
112
Let i be (12 - -2)/(0 - -2). What is the common denominator of 31/16 and (-2)/i - 5/(-42)?
48
Suppose 5*q - q = -l + 18, -4*l = 4*q - 36. What is the lowest common multiple of l and 33/4*(-80)/(-30)?
66
Find the common denominator of (-2)/((-32)/(-558)*6) and 47/6.
48
Let b = 86729/22 - 3945. What is the common denominator of 1/(-4) - 2/4 and b?
44
Let r = 1608/11 - 23753/22. Let i = r + 891. What is the common denominator of i and -40/9?
18
Let a(k) = 2*k - 5. Let m be a(4). Suppose m*n = -1051 + 196. Let c = 2575/9 + n. Find the