-111/10.
60
Let m = -15371/7 - -2203. Find the common denominator of 40/803 and m.
5621
Let l = 9 - 3. Calculate the common denominator of 70/(-8) - (-3)/l and 3/(-18)*(-3 - 55).
12
Let v be (-2)/4*-4*2. Suppose 3*l - v*l = j + 1943, -l + 5809 = -3*j. Let x = j + 17375/9. What is the common denominator of -21/11 and x?
99
What is the common denominator of 31*2/64*-1 and -4/7?
224
Let n = 631147/36 - 17535. Calculate the common denominator of n and -95/36.
36
Suppose 6*h - 4*h + 4*m = 178, 2*m - 368 = -4*h. What is the smallest common multiple of h and 21?
651
Let x = 3657 + -153635/42. Let g = 12037 - 252824/21. What is the common denominator of x and g?
42
Calculate the common denominator of -5/36 and (1424/(-768) - (-1)/4) + 1.
144
Let g(w) = w**2 - 6*w + 13. Calculate the lowest common multiple of 13 and g(-7).
104
Suppose 8 = -j + x + 4, 26 = j + 5*x. What is the smallest common multiple of 5 and j?
5
Let a be (-22)/66 + 38/6. Suppose -12*o + 12 = -a*o. Calculate the lowest common multiple of o and 10.
10
Let a(v) = -v**2 + 9*v. Let y be a(11). Let q(b) = -b**2 + 8*b + 3. Calculate the least common multiple of q(8) and (1/2*y)/(-1).
33
Let a = 17794940/28543 + 441/1679. Let m = 622 - a. What is the common denominator of m and -2/5?
85
Let o(x) = 2*x. Let u(r) = -3*r + 23. Let m be u(17). Let s = -20 - m. What is the least common multiple of s and o(7)?
56
Suppose 3434 = 3*b + 3398. What is the smallest common multiple of 546 and b?
1092
Let l(z) = z**3 - 2*z**2 + 3*z + 34. What is the smallest common multiple of l(0) and 24?
408
Let p = 325901/78 - 4178. Find the common denominator of p and -23/18.
234
Suppose 3*d - p - 523 = 628, -5*d - 3*p = -1895. What is the smallest common multiple of d and 10?
1910
Suppose -7 = 3*u - 73. Let k(l) = 5*l - 10. Calculate the lowest common multiple of k(4) and u.
110
Let n = -417/4 + 2289/20. What is the common denominator of n and 67/2?
10
Suppose 26*q = 20*q + 30. Suppose 54 = q*y - g - 0*g, -4*y - 5*g = -20. What is the least common multiple of 7 and y?
70
Let f be (10/(-15))/((-4)/(-6)). Calculate the common denominator of 29/22 and (4/f + 33)/14.
154
Let t(k) = -8*k**3 + 6*k**2 - k - 2. Let i(r) = -r**3. Let s(m) = 4*i(m) - t(m). Calculate the lowest common multiple of s(2) and 22.
132
Suppose t + 14 = -s, 2*t + 37 - 13 = -s. What is the common denominator of (2/t)/(4/(-650)) and 1 + (-152)/15 - (-30)/(-45)?
10
Let m = -12 - -30. Suppose -57*r + 13731 + 15469 = 9820. Calculate the least common multiple of r and m.
3060
Let w(t) = -t**3 + 10*t**2 + 5*t - 17. Let k be w(10). Let c = k - 32. What is the least common multiple of c and 5?
5
Let j(k) = -2*k**2 - 14*k - 18. Let u be (18 - 0) + 1 + 1. What is the lowest common multiple of j(-5) and 32/u + 2/5?
2
Calculate the least common multiple of 120/28*49/(-4 - -11) and 444.
2220
Suppose -4*d - o - 64 = 0, d - o = -3*d - 56. Suppose -2 = 3*p + 2*c - 24, 4*p + 4 = 4*c. What is the least common multiple of p and (2 - 5/d)*3?
28
Let l = 8 + -4. Suppose 0 = -3*z - 2*z + 765. Suppose -d = 2*h - 52, -5*d = 5*h + 23 - z. What is the least common multiple of h and l?
52
Suppose 9 = 10*v - 41. Calculate the common denominator of ((-328)/680)/((-12)/v) and 81/14.
1428
Let f(g) = -9*g**2 + g - 1. Let u be f(-5). Find the common denominator of 17/20 and (u/(-49))/(8/21).
40
Let h be 3/(6/256)*(-12)/2280. Let z = h + 11003/2090. Calculate the common denominator of -29/28 and z.
308
What is the common denominator of -97/24 and ((-3144)/(-512))/((-45)/(-10))?
96
Let l be 2/(2/9)*-1. Let a = 5 - l. What is the smallest common multiple of 5 and a/49 + (-33)/(-7)?
5
Let k = 8771/4 - 2177. Let w(d) = -95*d**3 + 10*d**2 - 7*d + 2. Let x be w(6). Let s = x - -242255/12. Find the common denominator of s and k.
12
Suppose 8*s = -3*k + 3*s - 8, 4*k + 3*s - 4 = 0. Let u(c) = 103*c**3 - c**2 + 1. What is the lowest common multiple of k and u(1)?
412
Suppose 13 + 13 = r + t, -r + 34 = -t. What is the smallest common multiple of 40 and r?
120
Let k = 24 + -15. Let s(l) = l**2 - 2*l + 10. Let y be s(6). Suppose -2*b = -5*o - y, 5*b - 2*b + o = 17. Calculate the lowest common multiple of k and b.
63
Let k be 25/(-1)*(-48)/30. Suppose -3*b - 3*i = -8*b + k, 0 = -5*b + 2*i + 40. Calculate the smallest common multiple of b and 2.
8
Let v = -38 + 147. Calculate the lowest common multiple of 1 and v.
109
What is the common denominator of 91/12 and 8/44 - 12490/(-25080)?
228
Suppose 0 = 2*s + 2*r + 60, -s + 0*s = -4*r + 15. Calculate the common denominator of 314/36 + 1*-2 and 3/(-18) - (-6)/s.
18
Let y = -43 - -71. Suppose -s - s - 12 = -2*x, 4*x - 5*s - y = 0. What is the smallest common multiple of 16 and x?
16
Let x = 431584/149 - 47428885/2682. Let b = x + 14783. Find the common denominator of b and 103/12.
36
Let i be 42/8 + (-3)/12. Suppose 3*o - 96 = 7*o - 4*y, -45 = 2*o - i*y. Let g = o - -43. Calculate the smallest common multiple of 22 and g.
198
Find the common denominator of 2/((-70)/(-435))*(-42)/60 and -58/55.
110
Let k = 82/101 - 10819/1010. Suppose 0 = v - 6*v - 265. Find the common denominator of k and v*(35/(-40))/7.
40
Let y = -1693 + 6845/4. Calculate the common denominator of -45/8 and y.
8
Let o(d) = -100*d**3 + 3*d**2 - d - 2. Let q be o(-1). Let g = q - 1223/12. Calculate the common denominator of -31/12 and g.
12
Calculate the common denominator of -41/505 and (810/50)/9*(-14)/(-4).
1010
Suppose 0 = -0*t + 5*t. Let p = 4/1001 - 145193/12012. Find the common denominator of 477/42 + (-3 - t) and p.
84
Suppose 6*d - 101 = 37. Suppose 9*n = 31 + d. What is the smallest common multiple of n and 3?
6
Suppose -18*z - 77*z + 26505 = 0. Calculate the lowest common multiple of 341 and z.
3069
Let b = 53 + -35. Calculate the common denominator of (-4)/18*11/(-2) and ((-27)/b)/((-8)/2).
72
Suppose -u + 2*f - 45 = -4*u, 5*f - 70 = -5*u. Suppose q + 5*c = -u, 3*q + c - 20 = -1. Calculate the smallest common multiple of 47 and q.
376
Find the common denominator of 65/4 and (-5429)/(-1830)*2/12.
180
Let i be 88488/56 - 2/7. Let u = i + -1588. Let g = -96 - -141. What is the common denominator of u and g?
7
Let y(b) be the first derivative of b**4/4 - 5*b**3/3 + 4*b - 4. Let n = -44 - -49. Calculate the smallest common multiple of 19 and y(n).
76
Let d be (7 - 11)/(-4) + (-35)/26. Let q = d - 67/13. Let o = -287/8 - -131/4. What is the common denominator of o and q?
8
Let b = 16 - -5. Let j = b - 7. Suppose -j - 6 = -f. Calculate the smallest common multiple of f and 16.
80
Let d(n) = -n**3 + 11*n**2 - 4*n - 16. Let g be d(8). Calculate the common denominator of 2 - (4 + g/42) and -67/9.
63
Let j be -4 + 3/((-329805)/(-193758)). Let t = -1/1745 + j. Calculate the common denominator of 39/11 and t.
231
Suppose -913 + 643 = -10*g. What is the smallest common multiple of 222 and g?
1998
Let b = 16 + -16. Let z be -2 + b/(1 + -2). Calculate the least common multiple of 8 and z/(-9) - (-1116)/81.
56
Suppose f - 5*x + 25 = 0, -5*f + x = 2 + 3. Calculate the common denominator of 4 + f + 85/(-8) and 137/18.
72
Suppose 25 = -94*d + 99*d. Find the common denominator of (-89)/18 + -7 + d + -1 and 61/4.
36
Calculate the lowest common multiple of 96 and (81/18)/(-3 + (-297)/(-96)).
96
Let i = 965 - 1991/2. Let z = -66/7 - -809/42. Calculate the common denominator of z and i.
6
Suppose 8*l - 9*l = 4*j - 28, j = 2*l - 20. What is the least common multiple of 14 and l?
84
Let l = -1709089/196 - -8720. Calculate the common denominator of l and -3/16.
784
Let q = -11036 - 3453. Let v = q + 289879/20. What is the common denominator of v and (-4)/(-2)*(-1185)/(-60)?
20
Let b be 48/14 + 28/49. Suppose -9*g + b*g = -45. Let l(x) = x**3 - x**2 + 2*x - 3. Calculate the smallest common multiple of l(2) and g.
45
Let l(y) = -y**2 + 5*y + 10. Let k = -15 - -19. Suppose s = 2*z + 10, s + 0 = -k*z + 4. What is the common denominator of l(s) and -4?
1
Let s(v) = 3*v**2 - 12*v. Let j(n) = -4*n**2 + 11*n. Let m(o) = -4*j(o) - 5*s(o). Let t be m(-8). What is the common denominator of 19/4 and 1/(t/396) + 2?
16
Let h = 909401912373 + -105074115758560349/115542. Let g = -4/6419 - h. Find the common denominator of g and 11/20.
180
Suppose 5*n + 84 = z, 11*n - 6*n + 292 = 3*z. What is the least common multipl