 -3/1465. Calculate the common denominator of q and -50/11.
44
Let t = -1 - -2. Suppose -2*n - n = -12. Calculate the smallest common multiple of t and n.
4
Suppose -g - 54 = -4*g + 5*y, -32 = -g - 3*y. Suppose -b + g = 4*u, 2*u - 16 = 3*b + b. Calculate the lowest common multiple of 5 and u.
30
Let f = -121 + 78. Let d = 65 + f. Let b(h) = -h + 3. Calculate the least common multiple of b(-5) and d.
88
Let t = 484 + -5310/11. Let z be -3 - 1/(-10)*-5228. Let a = z - -522. What is the common denominator of t and a?
55
What is the common denominator of ((-5)/(25/(-3)))/(6/28) and (-2)/(-2)*(-30)/7?
35
Let d = -1137 + 2353/2. Let z = 6 - 4. Find the common denominator of d and (-19)/z + 0/(-3).
2
Suppose -4*h + 3 = -3*h. Suppose -2*m + 3*m + 6 = x, -4 = -h*x - 4*m. What is the least common multiple of x and 18?
36
Let g = 312 - 136. Calculate the common denominator of -53/12 and (g/60)/(6/5).
36
Let k = 718 - 7946/11. Calculate the common denominator of -1 + (16/9)/(-2) and k.
99
Let a be 2 - 3 - (-12)/2. Suppose 0 = 4*d + d - x - 3, 5*d + a*x = 15. What is the lowest common multiple of d and 1?
1
Let y = -5/129 + 33421/258. Let k = y - 126. Suppose -3*m + 120 = 3*h, 0*m = -3*h + m + 128. What is the common denominator of k and h?
2
Let v(w) = -w**2 - 3*w + 4. Let j be v(-5). What is the common denominator of (111/j)/(1 + 6) and -113/10?
70
What is the least common multiple of ((36/16)/(-1) + 0)*-8 and 33?
198
Suppose 5*v + 9*v = 56. Calculate the least common multiple of v and 4.
4
Suppose -u = -4*d + 31, -3*u + 23 = 2*d - 6*u. Calculate the smallest common multiple of d and 26.
182
Let f be (7/3)/(6/(-54)). Calculate the common denominator of -87/2 and ((-39)/f - 2)/2.
14
Let j(a) = -a**2 + 30*a - 79. Suppose -4*o = -5*o + 1. Calculate the lowest common multiple of j(27) and -1 + (3*o)/1.
2
Suppose -2*z - 4*b + 20 = -0*z, 5*z = b - 5. Suppose z*p + p = 6. What is the lowest common multiple of (-66)/(-231)*(0 - 7/(-2)) and p?
6
Suppose 0*q = -3*p - 2*q - 17, 0 = 2*p - 5*q + 5. What is the common denominator of -2 + (-198)/32 + 2 and (-29)/5*p/10?
80
Let i(m) = m**3 + 6*m**2 + 7. Let j be i(-7). What is the common denominator of (-4 + -6)*15/j and (-140)/6 + (-2)/2?
21
Let f(p) = 2*p - 9. What is the lowest common multiple of 5 and f(7)?
5
Let j = -7116844 + 78223689/11. Suppose 6*o - o = 28020. Let h = j + o. Find the common denominator of 29/5 and h.
55
Let j(s) = -s**2 + 30*s + 35. What is the lowest common multiple of j(31) and 28?
28
Let j(q) = -q**2 + 7*q - 8. Let p be j(6). Let x be p/(3/((-126)/(-4))). What is the smallest common multiple of 20 and (x + (-3)/(-3))/(-1)?
20
Let g = -81 - -89. Calculate the smallest common multiple of 18 and g.
72
Let f(l) = -83*l + 1. Let i be f(-1). What is the common denominator of -125/6 and (-6811)/i*(-1)/7?
12
Find the common denominator of 1 + 3 + 62/20 and -2*(-1)/(-22) - 1.
110
Let j = -4835 + 48311/10. Find the common denominator of j and 2/(-16)*-6*-36.
10
Suppose 4*b - 3*n = 5*b - 11, -3*n = -9. Suppose 0 = -4*u - b + 10. What is the smallest common multiple of u and 9?
18
Let j(g) = -15*g - 1. Let x be j(-2). Calculate the common denominator of (-3 - x/(-8))*11 and -17/14.
56
What is the least common multiple of (-14)/35 - (-112)/5 and 148?
1628
Let m = -2713893235/78 - -34792982. Let g = -521 - m. Let i = -35/312 - g. What is the common denominator of 55/8 and i?
8
Let c = -31925/8 + 3981. Calculate the common denominator of 49/6 and c.
24
Let b(w) = -w**2 - 18*w - 11. Let c be b(-17). Suppose 4*q = 4*i - 132, 53 = -q - c*i + 3*i. Calculate the common denominator of -109/6 and q.
6
Let b(u) = u + 9. What is the smallest common multiple of b(9) and 32?
288
Suppose 5*z + 114 = 7*z. Calculate the least common multiple of 15 and z.
285
Let b = 10 + -12. What is the lowest common multiple of 10 and -2*-9*(-2)/b?
90
Let a(c) be the first derivative of 2*c**3/3 - 3*c**2 - 2*c + 3. Let g be a(5). Suppose 0 = 2*j + j - g. What is the least common multiple of j and 5?
30
Let s = 3 + 13. Let d(v) = -v**2 - 2*v + 4. Let k be d(2). What is the lowest common multiple of s and k - (-17 + -2 + 1)?
112
Let f = -1/681 + 42907/2724. What is the common denominator of f and ((-1)/(-8))/(1/(-33))?
8
Let s(w) = w**2 + 4*w + 1. Let q(n) = n**2 + 3*n + 1. Let p(t) = -4*q(t) + 5*s(t). Calculate the lowest common multiple of p(-9) and 1/(-1 - 6/(-5)).
10
Let i = -6 + 8. Suppose 4*k + g = 80, -5*k + 93 = 5*g - i*g. Let p = k + -11. Calculate the lowest common multiple of p and 1.
10
Let p = -239/30 - -19/5. Find the common denominator of p and 33/8.
24
Let c = 28171/10 + -2810. Find the common denominator of c and 9/8.
40
Let s = 0 - 3. Let w = 7 + s. What is the least common multiple of w and 1*(-2 + 0 + 7)?
20
Let n(s) = 68*s**3 + s**2 - s + 2. Let r be n(2). Let w = r + -1658/3. Calculate the common denominator of 41 and w.
3
Suppose -4*g + 39 = 3. What is the lowest common multiple of 9 and g?
9
Let u = -40/19 + 1063/171. Calculate the common denominator of u and 95/6.
18
Let n = 65 + -63. Let k = -2 - -4. What is the least common multiple of k and n?
2
Suppose 5*w = 5*j - 15, 30 = 3*w + 2*w + 4*j. Suppose l + 14 = 17. Calculate the lowest common multiple of l and w.
6
Suppose 4*l = 6 + 2. Let d = l - 0. Suppose -5*n - 4*g + 11 = 0, 2*g = -4*n - 3*g + 7. Calculate the least common multiple of d and n.
6
Suppose 0 = 10*j - 5*j - 295. Suppose -7 + j = 4*g + 3*i, 0 = -2*g - 3*i + 32. Calculate the smallest common multiple of 9 and g.
90
Let w(z) = -z**3 - 3*z**2 - z - 14. Let p = -1 + 5. Calculate the least common multiple of w(-4) and p.
12
Suppose 4*v = v + 5022. Let w = -375119375/224114 + 1084/10187. Let d = v + w. Calculate the common denominator of d and 11/10.
110
Let m = -36 - -19. Let o = 35 + m. What is the smallest common multiple of o and 6?
18
Suppose 0 = 5*c - z - 18, -30 = -c - 4*c - 5*z. Calculate the common denominator of c*((-30)/44 + 0) and -46/5.
55
Let k(z) = z**2 + 5*z + 6. Calculate the smallest common multiple of k(-6) and (-2)/(-4) - (-344)/16.
132
Let l be 4 + -56 + -1*1. Find the common denominator of ((-18)/(-8) + -2)*l and (-94)/4 + 1/6.
12
Let a(l) be the second derivative of -l**5/20 + l**4/6 + l**3/6 + l**2/2 + l. Let n be a(3). What is the lowest common multiple of 12 - n - (1 + 0) and 6?
48
Calculate the common denominator of 741/(-360) - (-2 + 36/15) and -137/60.
120
What is the common denominator of -29/4 and (-78)/27 - (0 + -2)?
36
Suppose 5*y + 10 = 0, -5*n = 5*y + 5484 + 21896. Let c = -98629/18 - n. Find the common denominator of c and -23/14.
126
Suppose -50 = 5*r + 5. Let t = -9 - r. What is the smallest common multiple of 5 and t?
10
What is the common denominator of -123/10 and ((-3)/27)/(20/174)?
30
What is the common denominator of 11/14 and (-36)/48 - (-78)/(-40)?
70
Suppose 61 = q + 18. Suppose 5*c - q = f, -2*c + f - 13 = -4*c. Calculate the lowest common multiple of 6 and c.
24
Let s(o) = -o**3 + o - 1. Let k be s(-2). Suppose -2 = -z + k. What is the least common multiple of 4 and z?
28
Suppose -4*p = 12 - 56. Calculate the smallest common multiple of p and 12.
132
Let m = 9 - 1. Suppose 6*k - 10 = 4*k - 5*s, -3*k - 2*s + 15 = 0. Suppose -2*a = 2*o + 2 - 0, 3*a = k*o + 13. What is the smallest common multiple of a and m?
8
Let m = 391/6 - 1034/15. Find the common denominator of -71/24 and m.
120
What is the lowest common multiple of 27 and ((-6)/(-16))/(9/324)*2?
27
Suppose -3 = -4*d + 5*y - 32, -4*y = -d - 21. Let c = d + 3. Calculate the smallest common multiple of c and 8.
8
Let o = 3305 - 46231/14. Let q(y) = -69*y**3 - y**2 + y. Let z be q(1). Calculate the common denominator of (z/5)/((-4)/5) and o.
28
Let m(p) = 3*p**2 + 4*p + 3. Let n(v) = -2*v**2 - v. Let z be n(1). Let s be m(z). What is the least common multiple of 6 and 6/(-4)*(-120)/s?
30
Suppose u = 3*k + 4, 1 = 3*u - 2*k - 4. Let j be u - (-2 - 19/(-1)). Find the common denominator of -27/22 and (126/j)/(15/6).
220
Suppose -5*y = -2*y - 30. Let r be (3 - 2)/(1/3). Suppose r*m - m - 32 = 0. Calculate the lowest common multiple of y and m.
80
Let z = 19821 + -297491/15. Let a = z + 77/5. Find the common denominator of a and (-60)/9*-1*1.
3
Find the common denominator of 3/(-30)*-2 - 411/405 and 7/15.
1