4
What is the common denominator of -2 + (-153)/(-66) + (-21)/14 and -43/8?
88
Let s = 16 + -13. Suppose 2*b + 4*z = -8, 0*b + s*b + 4*z = -2. What is the smallest common multiple of 8 and b?
24
What is the common denominator of (-651)/72 + 4 + 1 and (-2 - 17/(-12))*10?
24
Calculate the least common multiple of 1 and 22/8 - (-11)/44.
3
Let q(k) be the first derivative of -k**4/4 - 8*k**3/3 + 3*k**2 - 7*k - 2. What is the smallest common multiple of 16 and q(-9)?
80
Let k = 43 + -8. Suppose 5*b = -5*m + k, 3*m = -3*b + 2*m + 11. Calculate the lowest common multiple of 2 and 4/8*3*b.
6
Let w(j) = 4*j - 3. What is the smallest common multiple of w(1) and 19?
19
Let z be 17 - (-3 - (-3 - -3)). Suppose 3*q - z = 7. What is the lowest common multiple of 7 and q?
63
Let j = -16 - -20. Calculate the smallest common multiple of j and 8.
8
Suppose 0 = -2*n - 2 + 8. Suppose -n*p = -40 + 16. Find the common denominator of -49/3 and p.
3
Let g = -6089/4 + 1532. Suppose 5*m = 5*h + 27 + 18, 4*m = -4*h + 20. What is the common denominator of ((-6)/8)/((-1)/m) and g?
4
Let p = 7 + -3. Let m be (-3)/p*(-80)/(-4). Find the common denominator of ((-174)/(-10))/((-24)/m) and 35/8.
8
Let r(z) = -z**3 + 5*z**2 + 8*z - 9. Let u be r(6). Let h = 6277 + -62669/10. Calculate the common denominator of 548/u*(-4)/32 and h.
30
Let h = 24 - 6. Suppose -16 = -g + 2*l, -78 + 11 = -4*g + 5*l. Calculate the smallest common multiple of g and h.
18
Let z be (1/((-1)/(-4)))/(-1). Let x = z - -7. Calculate the lowest common multiple of 14/4 - (-4)/8 and x.
12
Let l = -6 - -8. Suppose 2*y = 3*y - 18. Calculate the least common multiple of y/(-15)*20/(-6) and l.
4
Let x = -4/5603907555 - -498914768888923/68345256540780. Let r = x - -1/12196. What is the common denominator of -139/6 and r?
30
Let v = 157869/16 + -9861. Let q be (-10 - (0 - -2))*2. Calculate the common denominator of v and (-202)/q - (-2 - 1).
48
Let o = -29 - -37. Calculate the lowest common multiple of o and 6.
24
Find the common denominator of (2/7 - 200/(-1848)) + 1 and -79/66.
66
Let n(a) = -5*a**2 - 14*a - 1. Let s(b) = 9*b**2 + 27*b + 2. Let k(d) = -5*n(d) - 3*s(d). Calculate the smallest common multiple of k(-5) and 8.
8
Find the common denominator of -5/11 and (5/4)/(14*1/48).
77
Suppose -2*h - 4*l = -3*h + 14, 5*l = -5*h + 20. Suppose -5*o = -h*o + 1. Calculate the lowest common multiple of 4 and o.
4
Let j be 38/8 - 1/(-4). Suppose 4 = v - j*v. Find the common denominator of v + 134/20 - 2 and 69/8.
40
Suppose -3*i + 0*i - 5*b = 0, -2 = 2*i + 4*b. Let c(p) = -p**3 - 5*p**2 + 5. Let z be c(-5). What is the lowest common multiple of ((-44)/z)/((-2)/i) and 8?
88
Let i(r) = -r**3 + 13*r**2 + 14*r + 3. What is the lowest common multiple of 6 and i(14)?
6
What is the common denominator of 32/(-108)*30/4 and -77/8?
72
Let n = 1 + 8. Suppose 4*x + 12 = -0*p + 2*p, 0 = -p + 5*x + n. Calculate the lowest common multiple of p and 7.
28
Suppose -4*d + 5*w = -8*d + 45, 0 = 4*w - 20. What is the smallest common multiple of 8 and d?
40
Let c be (10/(-70))/(2/6). Let s = -69/49 - -629/392. Let r = s - c. Find the common denominator of r and 43/12.
24
Let x = -496 - -3963/8. Find the common denominator of x and -77/12.
24
What is the common denominator of 3/(-540)*3*-2 and -81/8?
120
Let f(t) be the first derivative of -3*t**2 - 8*t - 5. What is the least common multiple of 8 and f(-5)?
88
Suppose -9 = 4*k - 5*k. What is the smallest common multiple of k and 30/16 + 1/8?
18
What is the common denominator of ((-3)/(-28)*-1)/((-15)/198) and -89/40?
280
Let v be -2*2/(-4) + 0. Let n(i) = 7*i - 1. Calculate the least common multiple of 8 and n(v).
24
Let d(r) = 234*r**2 + 4*r + 3. Let m be d(-2). Let y be ((-6)/2)/((-6)/(-1905)). Let k = m + y. What is the common denominator of -41/22 and k?
22
Let h = 0 - -8. Suppose 5*o - 44 = 6*r - 2*r, -4*r = -o - 4. What is the lowest common multiple of o and h?
24
Let g = 110/31 + 1372/155. Calculate the common denominator of -17/18 and g.
90
Let t be ((-4)/3)/(2/(-6)). Suppose -4*g = -2*g - 66. Calculate the common denominator of ((-3)/t)/(g/(-178)) and -71/20.
220
Let w be (-30286)/16 - (-3 + 5). Suppose -5*c + 6679 = -2776. Let n = c + w. Find the common denominator of n and 107/6.
24
Suppose 0*o - 5*p + 8 = 4*o, -o - 2*p = -2. Suppose -y - 79 = -5*r, -10*r + 37 = -8*r + 5*y. Calculate the least common multiple of r and o.
16
Let v = 1303 - 5262. Let s be -15929*3/(-36)*-3. Let t = s - v. What is the common denominator of t and -41/4?
4
What is the smallest common multiple of 6 and (-1)/(-2) + (-136)/(-16)?
18
Calculate the common denominator of (-304)/28*2/4 and 482/(-24) - 2/(-6).
28
Suppose -6*c = -c. Let j be -1 + 4 - (6 + -6). Suppose c = -z - 0 + j. Calculate the smallest common multiple of z and 4.
12
Suppose -4*x = -3*p + 91, 3*x + 3 - 75 = -2*p. Calculate the least common multiple of 12 and p.
132
Let q be (-3103)/408 + (-3)/(-9). Let k = q + -7/68. Find the common denominator of k and -47/2.
8
Let v be 3 + -1 + (-3 - -5). Suppose b = 3*b + 2*t - 708, -v*t = -b + 364. Let g = 1748/5 - b. Calculate the common denominator of 25/2 and g.
10
Let n = 20 - 37. Let a = -201/5 + 1287/35. What is the common denominator of n and a?
7
What is the common denominator of 12 and (-2)/10 + (-273)/(-140)?
4
Let k(u) = -u**3 + 9*u**2 - 10*u - 2. Let t be k(7). Let r = t - 15. Let i = -6 + r. What is the lowest common multiple of 4 and i?
20
Suppose 3*h = 5*i + 6, 5*i + 0 = 2*h - 9. What is the least common multiple of 10 and (42/(-9) - 2)*h?
20
What is the least common multiple of ((-3)/9)/(2/(-30)) and 20/(-6)*(-18)/15?
20
Let z be -1*3*6/3. Find the common denominator of 25/2 and 3/z*(-354)/(-9).
6
Let q(s) = s**3 - 2*s - 3. Calculate the common denominator of (-5)/2*260/(-90) and q(3).
9
Let u = 10310678/9 - 1142944. Let b = u + -2684. What is the common denominator of 12/7 and b?
63
Calculate the lowest common multiple of 22 and (-4)/(-4) - (2 + -42 + 3).
418
Let m(j) be the third derivative of j**4/12 - j**3/2 - j**2. Suppose 7*r - 9 = 47. Calculate the lowest common multiple of r and m(4).
40
Suppose -2*p = -2*x + 82, -p - 201 = 4*p - 4*x. Calculate the common denominator of 45/2 and p.
2
Let y be (-843417)/(-270) - (-2)/(-3). Let b = 3135 - y. Let u = -108/29 + -752/203. What is the common denominator of u and b?
70
Let b(p) = 2*p - 11888. Let j be b(0). Let i = j - -261489/22. Find the common denominator of 47/18 and i.
198
Let q(o) = 15*o + 4. Calculate the common denominator of q(-1) and (-3)/10*1660/(-24).
4
Suppose -2*v + 4 = -f, -4*v - 5*f + 4*f = -20. What is the smallest common multiple of 14 and v?
28
Let p = -1 - -2. What is the common denominator of (-5)/25 - 17/(-2) and p?
10
Suppose w + 9 = 4*w. Let t(c) = c**2 + c - c**3 - 2*c**2 - 9*c**w - 2*c. Calculate the least common multiple of t(-1) and 20.
20
Let y be 3 + 2 + (-6)/3. Suppose -v - y*v + 16 = 0. Calculate the lowest common multiple of v and 7.
28
Let d(p) = 17*p**2 - 1. What is the lowest common multiple of 18 and d(-1)?
144
Suppose -10 = -5*y - 3*t, -2*y - 2 = -3*y - 2*t. Let r = 13 + -2. What is the lowest common multiple of r and y?
22
Suppose 0 = -5*b + 5, 2*d - 13 = -b + 2*b. Let x(r) = -2*r - 5. What is the least common multiple of x(-7) and d?
63
Find the common denominator of -43/6 and ((-1)/(-6))/((-4)/(-188)).
6
Let f(j) = -j**2 - 12*j - 10. Suppose -4*h + 70 = h. What is the lowest common multiple of h and f(-10)?
70
Let j = 5 + -6. Calculate the lowest common multiple of 9 + j*(-1 - -2) and 4.
8
Suppose 8 = -z + 3, -3*z - 27 = 4*l. Find the common denominator of -3/4 and 3 - (-3 - l/(-16)).
16
Let u(n) = n - 5. Let s be u(6). Calculate the common denominator of 1*13/(-11) - s and 51/4*(-2)/3.
22
Let b = 384777/75866 - 2/5419. Calculate the common denominator of 13/8 and b.
56
Let m = 2254147/4 + -566508. Let j = m + 2949. Calculate the common denominator of 23/20 and j.
20
Let y = -21 + 31. Let f = 0 + y. Calculate the least common multiple of f and 1.
10
Suppose -2*g - 4*n = -242, 4*n - 2*n = g - 141. Find the common denominator of -33/20 and (-1)/9*g/2.
180
Suppose 9*g - 5 = 4*g. Let m = 11 - g. What is the smallest common multiple of 22 and m?
110
What is the common denominator of -45 and (-1508)/(