45046/24 - 6/9. Let y = j - 19943/12. Let n = 1007/6 - y. Calculate the common denominator of 103/18 and n.
18
Let g = -2261945/13 + 174080. Let m = g + -5309/78. What is the common denominator of m and 59/12?
12
Let b(y) = y**2 - 2*y + 14. Calculate the smallest common multiple of b(0) and 14.
14
Let u(q) = -q**3 + 5*q**2 + 6*q. Let d be u(5). Let k = d + -27. Let j(f) = -f**3 + 4*f**2 + f. What is the least common multiple of k and j(4)?
12
Let u be (-12)/(-2)*1/2. Let f(c) = c**2 - c + 8. Calculate the common denominator of f(-6) and ((-64)/(-30))/(u/30).
3
What is the common denominator of 2/(-2)*(-73)/(-48)*-3 and -41/20?
80
Suppose 4*k = v + 14, -2*v + 3*k - 10 = 4*k. Let j = -5 - v. Find the common denominator of 17/6 and j/(-4)*(-166)/(-4).
24
Let u = 5 - 3. Suppose -4*l + 165 = -5*h, -4*l = u*h - 51 - 135. Let s = 10497/7505 - -2/1501. Calculate the common denominator of s and l.
5
Let z(m) = -m**2 + 5*m - 3. Let b(g) = 2*g**2 - 2*g - 2. Suppose -o + 4 = -4*u, -5*u + o + 6 = -3*o. Calculate the smallest common multiple of b(u) and z(3).
30
Let i(k) = k**2 + 3*k + 2. Let s(r) = r - 5. Let h be s(-7). Let j = h - -18. Calculate the lowest common multiple of j and i(3).
60
Let n = -4 - -8. Suppose -5*c + 22 = -i + 4*i, n*i + 4*c = 24. Suppose 5*m - 12 = 88. What is the lowest common multiple of i and m?
20
Let v(z) = -2*z. Suppose -2*g - 4*c - 26 = 3*g, -3*c = g + 3. Let d(p) = -p**3 + 2*p**2 + p. What is the smallest common multiple of v(g) and d(-2)?
84
Let w = -44 - -119. Find the common denominator of -41/6 and (w/(-10))/(21/4).
42
Find the common denominator of 2/(8/59) + 3/1 and -109/10.
20
Suppose -12 = 4*v - 7*v. Let b be 10/(-4)*(-18)/(-15). What is the common denominator of v and (-4)/(-6)*(-2)/b?
9
Suppose 6*j - j + 21 = u, 5*j - 59 = -4*u. Calculate the least common multiple of 6 and u.
48
Let m = 708/95 + -16999/3135. What is the common denominator of m and -83/12?
132
Suppose 2*b + 8 = -2*m, 20 = -0*m - 4*m - 2*b. Calculate the common denominator of 6/(-36)*m/2 and 35/18.
18
What is the common denominator of 2*303/(-12)*(-1)/2 and -25?
4
Let o be (0 - 0) + 108/(-4). Find the common denominator of -50/11 and -15*(o/(-12) - 1).
44
Let g be (-10)/(-244)*(3 + 21). Let t = 5421/488 - g. Let a = -2467/2 + 1262. Find the common denominator of a and t.
8
Let u be 3 + 0 - (-243)/20. Let n = u + 13/5. Find the common denominator of n and -83/14.
28
Let c be 110/3 + 6/(-9). Suppose -c = 3*o - 5*o. Let n(p) = -4*p - 2. What is the lowest common multiple of o and n(-4)?
126
Let x(t) = 21*t**3 + t**2 + t - 1. Let j = -7 + 10. Suppose -j*w = 2*w - 5. Calculate the lowest common multiple of x(w) and 16.
176
Let o be (-22)/(-8) + (-2)/(-8). Calculate the common denominator of o - ((-1380)/8)/(-5) and 76/3.
6
Let i = 5405/3 - 491909/273. Let v = -5258/819 - i. What is the common denominator of v and 3/2?
18
Let g = -63 - -43. Let n = -14 - g. What is the least common multiple of n and 10?
30
Suppose -y + 20 = 18. What is the least common multiple of y and 6?
6
Let x be (-2 + -3)*12/6. Let i = 0 - x. Calculate the smallest common multiple of 11 and i.
110
Let t = 13148 + -394261/30. Find the common denominator of -49/27 and t.
270
Let n be (-175)/(-28)*2*134. Let b = n - 3275/2. Calculate the common denominator of -43 and b.
2
Let g be 3/6*(3 - -5). What is the common denominator of 93/14 and 31/(-84) - g/(-14)?
84
Let u(a) = -a**2 - 7*a + 4. Let o be u(-5). Suppose -o + 2 = -2*t. What is the smallest common multiple of 4 and t?
12
What is the common denominator of -73/10 and 1/4 - (7684/(-720))/(-17)?
90
Let m be -4 + 2*(-9)/(-6). What is the common denominator of m/7 + 8350/(-840) and 49/10?
60
Let v be (15/100)/(6/(-289612)). Let o = v - -7233. Calculate the common denominator of o and -17/18.
90
Let g(v) = -v**2 + 5*v - 2. Let c be g(3). Suppose r - c*h + 86 = 6*r, 5*r = -2*h + 88. Calculate the lowest common multiple of r and 10.
90
Let b = -10 + 6. What is the common denominator of -53/5 and 128/(-60) + b/6?
5
Let f = 14/139 + -5864/55461. Let y be 1/(-2) + 6830/(-532). Let l = y - f. Calculate the common denominator of -53/7 and l.
21
Let d = -673373/35754 + 1/5959. What is the common denominator of d and ((-10)/(-18))/((-7)/(-77))?
18
Let q be 3 - (1 + (-1 - 1)). Suppose -29 = -o - q*k, -o + 3*k = -k + 11. What is the least common multiple of o and 4?
36
What is the smallest common multiple of 4 and 110/6 - 14/42?
36
Let n = 273624319/4653 - 58806. Let b = 21995/4653 + n. Find the common denominator of b and ((-4)/(-10)*-103)/(-4).
110
Let z be 2/(-8) + (-50)/(-8). Suppose 0 = -z*y + y + 65. Suppose 2*a + 5 = y. Calculate the lowest common multiple of 10 and a.
20
Suppose 4*z - m - 64 = 0, -3*z = -0*z + m - 41. Suppose -r = 4*a - z - 16, 155 = 5*r - a. Let n = 47 - r. What is the smallest common multiple of n and 2?
16
Let a(o) = -o**3 - 2*o**2 - 3*o - 2. What is the smallest common multiple of a(-2) and 16?
16
Let b(t) = -6*t**2 - 2*t - 2. Let s be b(-4). Suppose -171 = 5*w + 2*x, -5*w + 3*x - 167 = 7*x. Find the common denominator of -17/8 and 2/2 + w/s.
72
Let t(b) = 0*b**2 - 5 - 2 - b**2 + b + 8*b. What is the smallest common multiple of 5 and t(6)?
55
Let u = -55/51 - -2383/1122. What is the common denominator of u and -101/4?
44
Suppose 0*o = 5*o - 5. Calculate the least common multiple of o and 1.
1
Find the common denominator of (3/2)/(3/71) and 65/6.
6
Suppose -3*l + 12 = 3*x, 0*x - 16 = -5*l - 3*x. Calculate the least common multiple of l and 18.
18
Let q = -11 - -14. Let w be 29/3 - 4/6. What is the least common multiple of 2 and (11/3)/(q/w)?
22
Let q = -6 - -14. Calculate the common denominator of -111/20 and -1 + (7/q)/7.
40
Suppose 0 = -0*j + 2*j + l - 15, -3*l + 5 = -2*j. What is the common denominator of 121/10 and (-37)/j*4/8?
10
Let n = -1467/4 + 4607/12. Calculate the common denominator of n and -81/14.
42
Let j = 951/2 - 459. Let f = 54 - j. Calculate the common denominator of f and 39/4.
4
Let c = -567/5 + 2413/20. Let m(s) = -46*s**2 - 2*s + 1. Let o be m(1). What is the common denominator of 2/5 - o/(-10) and c?
20
Suppose 0 = -t - 5*c + 8, -3*t = 2*t + 5*c - 40. Calculate the smallest common multiple of t and 48.
48
Let x = -2 + 7. Suppose -5*n - 2*s + 36 = 0, s + 21 = x*n - 2*s. Suppose a = n*a + 195. Calculate the common denominator of a and -53/5.
5
Let d(f) be the third derivative of f**5/60 - 5*f**4/24 - 4*f**3/3 + 4*f**2. Calculate the lowest common multiple of 14 and d(8).
112
Let z = -185 + 731/4. Calculate the common denominator of z and 43/7.
28
Let h = 16403/5 + -3293. What is the common denominator of h and 31/8?
40
Let y(v) = 3*v**2 - 20*v - 47. Let k(c) = -c**2 + 7*c + 16. Let w(x) = -17*k(x) - 6*y(x). Calculate the lowest common multiple of 9 and w(0).
90
Let f be 1*(3/(-3) + 1). Suppose 2*n + 3*n - 80 = f. Calculate the least common multiple of 10 and n.
80
Calculate the common denominator of 5/20*(-66 + 0) and ((-77)/(-5))/(2/5).
2
Let t = -20231707/1155 + 245157/14. Let h = t + 1/66. Let k = -2/4851 - 22174/4851. What is the common denominator of h and k?
35
Let v = -7/15 - -167/15. Let i = 641/30 - 46/5. Find the common denominator of v and i.
6
Calculate the common denominator of (-1 - 13)/(36/17) and ((-6)/16)/((-63)/(-1876)).
18
Let c be (-8)/((-8)/(-396)*1). Let r = -3568/9 - c. Calculate the common denominator of r and -97/10.
90
Suppose 0 = 3*c - 2*w - 250, -4*c + 2*w = c - 418. Suppose -3*o = o - c. Let v = o - 9. What is the smallest common multiple of v and 2?
12
Let z(w) be the second derivative of -w**3/6 - 2*w**2 - w. What is the common denominator of z(0) and -5/11?
11
Suppose 5*n - 5*h + 1 = 3*n, 0 = 5*n - 2*h - 8. What is the lowest common multiple of 22 and n?
22
Suppose 2*c - 33154 = -3*b, -2*b + 3*c - 4*c + 22101 = 0. Let d = b + -132673/12. Let l = 2/43 - -39/86. Calculate the common denominator of l and d.
12
Calculate the common denominator of 17/9 and (2 + 44/(-56))*2.
63
Let b = 45 + -40. Calculate the smallest common multiple of b and 4.
20
Let l be (9/(-6))/((-3)/20). Let t = l - 7. What is the lowest common multiple of 9 and t?
9
What is the common denominator of 11/8*(-12)/30 and (99/(-10))/1 + 0?
20
Let r be (30/4)/(10/40). Let d(n) = n + 4. Let g be d(-6). C