3. Let d = n - 8. What is the least common multiple of 1*-1 - (-11 + 4) and d?
12
Let r be (20/(-8))/((-2)/4). Calculate the common denominator of (-2)/r + 1152/330 and (3/(-12))/(6/424).
33
Suppose 2*d = -9*d + 220. Calculate the least common multiple of d and (2 - 1)/((-2)/(-48)).
120
Let f be (567/28)/((-1)/53). Let w = 1064 + f. Find the common denominator of 73/20 and w.
20
Let u(g) = 2572*g**2 - g - 1. Let n be u(-1). Find the common denominator of 2/5 + n/120 and -79/22.
66
Let x = 13 + -5. Let k = -3 + 3. Suppose -4*a + 5*w + 8 = 0, w - 25 = -k*a - 3*a. Calculate the least common multiple of a and x.
56
Let d(l) = -l + 1. What is the smallest common multiple of d(0) and -4*2/(-28) - (-136)/14?
10
Let t = -14046/11 + 1274. Calculate the common denominator of t and 79/4.
44
Let w = 37 - 35. Calculate the smallest common multiple of w and 7.
14
Suppose 10 = -5*c - 10, -63 = -5*t + 2*c. Calculate the lowest common multiple of t and 3.
33
Let w = 48 + 8. What is the smallest common multiple of 16 and w?
112
Let v(w) be the second derivative of -w**4/4 - w**2/2 + 2*w. Let s be v(1). Let r = s - -7. What is the smallest common multiple of r and 2?
6
Suppose -9*o + o = -384. Calculate the lowest common multiple of 6 and o.
48
Let s(r) = r**3 + 5*r**2 + 4*r - 2. Let l be s(-4). Calculate the common denominator of (-532)/(-24) - l/6 and 50/3.
6
Suppose -2*b + 63 = -3*d, -6*d - 84 = -2*d + 5*b. Let n = 31 + d. What is the lowest common multiple of n and 9?
90
Suppose 29 = 3*z - 4*y, 2*z = z - 4*y - 17. Let l = z - -1. Let d = -27 + 39. What is the smallest common multiple of d and l?
12
Suppose 5*i + 2*d - 56 = 4*i, 5*i - 3*d = 241. What is the least common multiple of i and 10?
50
Let b = 15 - 23. Let m = -4 - b. Suppose -2*r = -m*r + 8. Calculate the lowest common multiple of r and 1.
4
Let z(a) = -3*a. Suppose -m + 7 - 2 = 0. Suppose 0 = h, m*h = 2*t - 3*t + 18. What is the lowest common multiple of t and z(-4)?
36
Let w be 1386/1267 - (-2 - -3). Let y = 6969/2896 - w. Calculate the common denominator of y and 65/8.
16
Let m = -396 + 1169/3. Suppose -2*x = -0*x + 5354. Let t = 10787/4 + x. Calculate the common denominator of t and m.
12
Calculate the common denominator of 2/3 - (-766)/(-168) and 70/(-28)*(0 + (-22)/8).
56
Let n(v) = -10*v - 3. Let l be n(-3). Suppose 4*o + 3 = 2*w - 3*w, -5*w = -o - l. Find the common denominator of 5/18 and (o/24)/((-2)/436).
18
Let t = 3 - -7. Suppose 0*c = 2*c - 40. Suppose -5 + c = 3*k. Calculate the least common multiple of k and t.
10
Let k(b) = 3*b**2. Let p be (1 + 2)/((-3)/2). Let a(z) = z**3 - z**2 + z + 4. What is the smallest common multiple of k(p) and a(0)?
12
Calculate the lowest common multiple of 12/9*(-117)/(-6) and 6.
78
Let a = -2782 + 6101/2. Let v = -3233/12 + a. Find the common denominator of 1/9 and v.
36
Let y(k) = -3*k - 6. Let a be y(-5). Suppose 2*n - 17 = -d, -a = -7*d + 4*d. What is the smallest common multiple of 7 and n?
7
Suppose -160 = 2*g + 4*c, -3*g - 222 = -0*g - 3*c. Suppose -5*k = -2*m - 170, 2*k - 5*m = k + 57. What is the common denominator of k and (g/(-96))/((-1)/9)?
8
What is the common denominator of -47/2 and -1 + (-78)/(-10) - 12/16?
20
Let x be 2/(-3) + 15069/(-666). Let j = x - -165/37. Find the common denominator of -111/10 and j.
30
Let f(z) = -z**3 - 5*z**2 + 7*z + 3. Let x = -15 - -9. Let r be f(x). Let b(h) = -h**2 - 6*h + 1. Calculate the smallest common multiple of b(r) and 4.
20
Let c = -14 + 2. Find the common denominator of (-2 - 53)*3/c and 2/(-7) - (-2066)/(-168).
12
Find the common denominator of -6*(-19)/(-16) + -2 and -45/4.
8
Let s = 355 + -1075/3. Let r = 46/7 - 479/42. What is the common denominator of r and s?
6
Let x = 44 + -40. Suppose 6*l + 3*b - 46 = l, 4*l - 47 = b. What is the smallest common multiple of l and x?
44
Let m(x) = 6*x**3 - 11*x**2 - 7*x - 2. Let o be m(8). Let b = o + -4705/2. Find the common denominator of 111/5*(-2)/4 and b.
10
Let w(q) = 2*q + 4. What is the lowest common multiple of 4 and w(4)?
12
Let c(g) = g - 5. Let p be c(9). Suppose 0 = p*h - 38 - 2. Calculate the smallest common multiple of 12 and (-8)/(-10)*75/h.
12
Suppose 0 = 3*j - 8*j - 150. What is the smallest common multiple of (-1)/(-2) - j/20 and 9?
18
Let s = 10 - 5. Suppose 0 = -s*f - 8 - 2. Calculate the lowest common multiple of 20 and -8*3/8*f.
60
Calculate the smallest common multiple of 5 and (4 - 2) + (-9)/(-9).
15
Let y(b) = b - 1. Let k(z) = -z**2 - 2*z + 11. Let v(w) = k(w) + 4*y(w). Let q be v(5). Let l = q - -14. Calculate the least common multiple of l and 4.
12
Let c = -15936 - -653342/41. Let o = c - -967/820. What is the common denominator of -27/2 and o?
20
Let x be 1570/25 - (-3)/15. What is the common denominator of -5/16 and (18/(-14))/((-90)/x)?
80
Let u be 1/((-15)/(-6) + -2). Suppose 0 = u*z + 8 - 22. Calculate the lowest common multiple of z and 10.
70
Let h(u) = -2*u + 5. What is the common denominator of h(4) and -73/4?
4
Let t = 27 + -2. What is the common denominator of (4/20)/((-6)/(-625)) and (-8)/32 - t/12?
6
Let u = -5 - -10. Suppose b + u*i = 47, 73 = 4*b - i - 2*i. Calculate the smallest common multiple of b and -6*-5*(-1)/(-3).
110
Let j be (1 - 2)*(-2)/2. Let b(o) = -2 - 22*o + 3 - j. What is the smallest common multiple of 2 and b(-1)?
22
Let b = 963/22 + 8/11. Calculate the common denominator of 33/(-6)*-10*(-12)/30 and b.
2
Suppose 0 = -5*t + 10*t - 30. What is the lowest common multiple of t and 20?
60
Let f be (542/(-212))/(16/(-72)). Let o = f + -1/212. Calculate the common denominator of 6/11 and o.
22
Suppose 2*b + 2*b + 520 = 5*p, -2*b = 4*p - 390. Let m be (-12)/10*p/(-15). Let v = m + -5. Calculate the least common multiple of 4 and v.
12
Let k be 9*(10/(-6) - -2). What is the common denominator of k*((-12)/15)/(-4) and -36/11?
55
Let u be 2*17 + 0 - -1. Let l = 49 - u. What is the least common multiple of 22 and l?
154
Let z(y) = 11*y**2 + 2*y + 1. Let g(k) = 3*k + 43. Calculate the smallest common multiple of z(-1) and g(-7).
110
Let c be 0 + 0 + (-1 - -3). Suppose o = -c*d + 22, -3*o + 46 = -o + 5*d. What is the least common multiple of 2 and o?
18
Suppose -5*a = -a - 8. What is the smallest common multiple of 10 and a?
10
Let n = 11185/36 - 1253/4. Calculate the common denominator of (-2)/4*(-8 + -1) and n.
18
Suppose -u + 4*k + 16 = 0, 0 = 4*u - 4*k + 12 - 76. Calculate the smallest common multiple of 32 and u.
32
Let i(x) = 14*x**2 + x - 1. Let a(q) = -7*q**3 - q**2. Let m be (-15)/21 + 6/(-21). What is the least common multiple of a(m) and i(1)?
42
Calculate the common denominator of -11 + 442/39 - (-299)/66 and (-91)/18 + (-4)/6.
198
Let i be (41 - -1)*(-2)/(-6). What is the common denominator of ((-6)/(-9))/(i/57) and -26/7?
7
What is the common denominator of 67/4 and (-2)/(-3)*(-249)/(-8)?
4
Suppose -5*n + 5*f + 70 = 0, 2 = n + f - 4. Let g = 0 - -4. Suppose -11 = -g*i + 9. Calculate the lowest common multiple of n and i.
10
Let k = 1609/10 + -162. Let l = -3/43748 + -14786761/918708. Let o = l + 23/3. What is the common denominator of k and o?
70
Let a be -3 + 1 + (-3)/(-1). Let z(f) = 4*f**3 + f**2 - 2*f + 1. Calculate the least common multiple of 18 and z(a).
36
Find the common denominator of (0 + -2)/(24/(-298)) and (1185/(-132) - -4)*(-6)/(-9).
66
Suppose -50 = -5*r - 0. Calculate the least common multiple of 14 and r.
70
Let r = 164 - 126. Calculate the smallest common multiple of 4 and r.
76
Find the common denominator of -1*(-364)/(-44) - -4 and 5/4.
44
Suppose x = -4*x + 15. Suppose -c + 112 = 4*m + x*c, m - 4*c = 48. Suppose 0 = 4*u - 4 - m. What is the smallest common multiple of 7 and u?
63
Suppose 5*t + 19 = -6. Let p = t - -4. Calculate the least common multiple of 14 and 1 + p + 6/3.
14
Let u(b) = -b**2 + 8*b - 9. Let j be u(6). Suppose -17 = -l + 2*t, 2*t - 3*t + 30 = j*l. What is the lowest common multiple of (-4)/(-20) - (-24)/5 and l?
55
Suppose -6*c + 1 + 125 = 0. What is the smallest common multiple of 6 and c?
42
Let t = 66 - 44. Calculate the lowest common multiple of 18 and t.
198
Let y(f) be the second derivative of f**4/12 - f**3/3 - f**2 + 10*f. What is the least common multiple of 7 and y(3)?
7
Suppose l + 2*l + 3*r - 3 = 0, -3*l - 17 = -r. Calculate the common deno