 Let x be 1/(1/(10/b)). Find the common denominator of (-14)/x + 1 + -1 and -5/3.
15
Suppose -c = -4*c + 78. Calculate the least common multiple of c and 14.
182
Let s be (-8)/(-20) + (-3626)/(-660). Let z = 85/11 - s. What is the common denominator of z and 3/5*134/(-12)?
30
Let h(b) = -b**2 - 11*b - 19. Calculate the least common multiple of 3 and h(-8).
15
Let y be (15313/2478)/(8/(-6)). Let b = 4/413 + y. Find the common denominator of 17/(-10) - 1/(-4) and b.
40
Suppose -5*v + 10 + 10 = 0. Calculate the lowest common multiple of v and 18.
36
Suppose 0 = -4*j + 3 + 9. Suppose j*s = s + 20. Calculate the least common multiple of 2 and s.
10
Let f = -878/105 - -16/21. What is the common denominator of f and -43/2?
10
Suppose 20 = -b + 2*b. Let k(i) = 4*i**3 + 3*i**2 - 6*i + 3*i**2 + 0*i**3 - 5*i**3. What is the least common multiple of b and k(4)?
40
Let g = -55 + 105. Calculate the smallest common multiple of g and 2.
50
Suppose -297*a + 292*a = -5. What is the smallest common multiple of 24 and a?
24
Let m = -10507/4952 + -2/619. What is the common denominator of m and 46/(-20) - (0 + -2)?
40
What is the common denominator of (-1)/3*(-306)/132 and -57/10?
110
Suppose 2*x - 4*p + 3 = -13, -x - p + 7 = 0. Suppose 0 = 3*d - d + 2. What is the lowest common multiple of x and (d + 7)/((-9)/(-6))?
4
Let j = -2180 - -23940/11. Let d = -8 + 12. Find the common denominator of ((-53)/d)/((-5)/4) and j.
55
Let h(u) = -4*u - 35. Let b(n) = n + 7. Let f(l) = -11*b(l) - 2*h(l). Calculate the lowest common multiple of 12 and f(-5).
24
Suppose 5 = 2*o + 3*p, -3*o - 35 = o - 3*p. Let z(j) = j**3 + 6*j**2 + 4*j + 5. Let m(g) = 9*g - 60. Calculate the smallest common multiple of z(o) and m(7).
30
Let a(h) = -h + 3*h**3 - 5*h**3 - 3*h**2 - 2*h. Let z be a(-2). Let n = -6 + z. Calculate the smallest common multiple of 5 and n.
20
Let l = 10767 - 58136/5. Let k = 856 + l. What is the common denominator of k and 26?
5
Suppose -5*f - 2*n = 183, 4*f + 177 - 29 = -2*n. What is the common denominator of f and -41/10?
10
Let u(d) = 2*d + 4. Let c be u(-7). Let z be 4 - 2 - 6002/c. Let h = z - 600. Calculate the common denominator of -59/8 and h.
40
Suppose 5*f - 41 + 6 = y, -3*f + 33 = -3*y. Calculate the lowest common multiple of f and 22.
66
Let k be (-40)/1325*(-5)/11. Let n = -23791/8162 - k. Find the common denominator of n and -9/8.
56
Suppose -3*o + 2*d - 5 = 3, 0 = -3*o - 4*d - 38. Calculate the smallest common multiple of 15/(-5)*4/o and 12.
12
Let h = -7 + 13. Let t = h - 3. Suppose 2*u + 8 = t*q, 4*u - 12 = -0*q - q. Calculate the least common multiple of q and 20.
20
Let u be 1/2 + (-39)/(-6). Let m = -6 + u. What is the lowest common multiple of 8 and m?
8
Suppose -5*w - 5 = -2*v, 12 = -3*w + 3*v - 0*v. What is the common denominator of (1/(-5))/(12/(-670)) and (-2 - -4) + w/(-8)?
24
What is the common denominator of 14/21 + 28/(-9) and -53/5?
45
Let j = -6 + 11. Suppose 0 = j*o + 4 - 24. What is the common denominator of (-3)/o*38/11 and 127/18?
198
Let z(r) = -r**2 + r**3 + 3*r**3 - 9*r**3. Let g be z(-1). Suppose -5*j + 4*u = -19, g*u - 6 - 31 = -3*j. Calculate the smallest common multiple of j and 4.
28
Suppose -3*y = 3*s - 2 - 7, 5*y - 14 = -4*s. Suppose -2*q + 2 = -y. What is the smallest common multiple of 12 and q?
12
Let l = -114 - -120. Let x(z) = 17*z**2 - 2*z - 1. Calculate the least common multiple of x(-1) and l.
18
Suppose 8*j - 99 - 77 = 0. Calculate the least common multiple of j and 4.
44
Suppose -v - 5*v + 108 = 0. Calculate the smallest common multiple of v and 33.
198
Let t = -26491327 - -370688807/14. Suppose d - 27125 = 3*g - g, 3*d + 40674 = -3*g. Let m = t - g. Find the common denominator of m and 91/12.
84
Let n = 209/4 + -545/12. What is the common denominator of 115/18 and n?
18
What is the smallest common multiple of 8 and 6*(-3 + 13/3)?
8
Suppose 5*t - 2 - 28 = 0. What is the least common multiple of t and 24?
24
Let i be 1/(-19)*(-130)/(-115). Let u = i - 31693/3496. What is the common denominator of u and -71/3?
24
Find the common denominator of -77/24 and ((-129)/42 - -3)/(72/1820).
72
Let w(u) = -u**3 - 8*u**2 - 9*u + 2. Let h = 7 + -4. Let g = h + -10. Calculate the lowest common multiple of w(g) and 12.
48
Let y = -3 - -5. Suppose -n - 5*c = 10, -y*c + 16 = 2*c. Let j = -14 - n. What is the lowest common multiple of 12 and j?
48
Let p be (-2)/(-6) - (-2948)/(-6). Let c = -3933/8 - p. What is the common denominator of c and -63/8?
8
What is the common denominator of -26/5 and 4/1 - (-204)/(-104)?
130
Let h be 1/(-2)*(-154734)/(-44). Let i = h - -7015/4. Find the common denominator of -119/6 and i.
66
Let d(q) = -4*q + 14. What is the lowest common multiple of 12 and d(-26)?
708
Calculate the common denominator of (-2120)/(-48)*(-2)/10 and -57/46.
138
Let n be (-11)/(22/20)*-2. Suppose -3 - 1 = j, 0 = 2*y - j - n. Calculate the least common multiple of 0 + (9 - (0 + 1)) and y.
8
Suppose 3*n - 4 = -2*m, -4*m + 11 = 2*n - 5. Let r(o) = 46*o + 3. Let b be r(-3). Calculate the common denominator of 81/10 and (1/6)/(n/b).
20
Let r be 3/(-5) + (-55406)/140. Let y = 396 + r. What is the common denominator of y and (-90)/21 - (-1)/(-2)?
14
Suppose -z + 4*q + 57 = 2*z, -3*z + 57 = 2*q. Let g = 84545/8 - 10543. Let n = z - g. What is the common denominator of -45/4 and n?
8
Let a(d) = 19*d**3 - 6*d**2 + 3*d - 3. Let p be a(4). Let o = 3846509/10 + -383520. Let t = o - p. Find the common denominator of t and 43/5.
10
Suppose 15 = 3*g, -b + 3*g + 51 = 2*b. Calculate the smallest common multiple of 108 and b.
1188
Suppose 4*b = 28 - 4. Suppose 0*x + x = -10. What is the lowest common multiple of (-210)/(-25) - b/x and 10?
90
Let u = 383468693/26424630 - 4/155439. Let d = u - 415/17. Let p(h) = 14*h**3 + h**2 + 2*h + 1. What is the common denominator of d and p(-1)?
10
Let i = 1 + -2. What is the least common multiple of -1*4*(-5)/4 and 2/((-2)/i) - 0?
5
Let u(d) = d**3 - 8*d**2 + 7*d + 10. Let y be ((-2)/3)/(6/(-63)). Let q be u(y). Let l = q + -6. What is the lowest common multiple of l and 9?
36
Let t be (2 + 6/(-3))/(-2). Suppose -l - 5*j + 37 = l, -3*l - 2*j + 28 = t. Calculate the least common multiple of l and 4.
12
Let i = 27579 - 1213527/44. Find the common denominator of i and 7/12.
132
Let b be 144/14 - 4/14. Let h = b - 2. Suppose -3*m = -4*v + 2*m + 82, 3*m + 96 = 5*v. What is the least common multiple of v and h?
72
Suppose 7*k + 2 = g + 2*k, -3*g = -2*k - 6. Calculate the least common multiple of 38/9 + g/(-9) and (10/(-3))/((-4)/12).
20
Suppose 3*k - k = 0. Suppose k = -0*h - h + 451. Let l = h - 7211/16. What is the common denominator of -51/22 and l?
176
Find the common denominator of 7/20 and (-4)/(-6) + 447/126.
140
Let a = 771/4 - 200. Find the common denominator of -2 + 2*22/(-80) and a.
20
Let v = 4209 - 6812. Let p = v - 14923. Let g = 350443/20 + p. Find the common denominator of g and 47/6.
60
Let o = -191/3 - -1048/15. Suppose 0 = -5*t + 4*k + 56, -2*t + 0*k + 12 = k. What is the common denominator of (-465)/(-100) + 2/t and o?
10
Suppose 11 = o - v, -2*o - 23 = -5*o + v. Suppose -o = 3*x, -5*h + 0*x - 1 = 3*x. Suppose q - 5 = -h. What is the least common multiple of q and 2?
4
Let j(g) = 19*g**2 - 2*g - 1. Let p be j(-1). Find the common denominator of 13/6 and (136/p)/((-24)/70).
6
Calculate the common denominator of 12 and 1*(-1)/((-28)/(-180)).
7
Suppose -5*q = -10, 0 = 3*d + d + 5*q - 70. Let g = d - 10. Calculate the lowest common multiple of 1 and g.
5
Let i = -6 - -10. Suppose -3*p + 6 = 5*w - i*w, 0 = -5*p. What is the smallest common multiple of 7 and w?
42
Let l be 2 - (2 + -2)/1. Calculate the common denominator of (4/12)/(4/97) and ((-3)/15)/(l/335).
12
Let x = 46703/38256603 + -7/13233. Let o = -263089/11564 + x. Calculate the common denominator of -149/6 and o.
12
Let b be ((-162)/8)/((-2)/(-144)). Let k = b - -13096/9. What is the common denominator of 97/2 and k?
18
Let j = 12 - 0. Suppose -o - o + j = 0. Let n(l) = l**2 - 5*l + 4. Calculate the least common multiple of n(o) and 16.
80
Let j = -10 + 17. Let a(t) = 2*t**2 - 2*t - 5*t + t - 5 - t**2. Calculate the least common multiple of a(j) and 3.
6
Suppose 3*z = 5*z - 18. Calculate the lowest common multiple of z and 3.
9
Suppose 0*s 