8.
18
Let u = -3 - -5. Let o(d) = 3*d - 3. What is the smallest common multiple of o(3) and u?
6
Let x(y) = -y**3 + 4*y**2 - y + 5. Let i be x(4). What is the common denominator of -55/9 and i/6 + 299/(-12)?
36
Let y be (-1 + 0)*1*3. Let i = 12 + -1. Calculate the least common multiple of i and (-26)/(-3) - 1/y.
99
Let j = -1441/531 - 37440433/4248. Let v = j - -8804. Calculate the common denominator of v and -1/6.
24
Suppose 5 = 3*b - 28. Let x(p) = -p**3 + 4*p**2 + 15*p - 17. Calculate the smallest common multiple of x(6) and b.
11
Let n = 2879/342 - 104/19. What is the common denominator of -53/20 and n?
180
Let h = -2352 + 16517/7. What is the common denominator of h and 21/16?
112
Let w(u) = u**3 - u**2 + 2*u - 2. Let j be w(1). Let s be 6/9 + 26/6. Suppose s*z = -j*z + 5. Calculate the least common multiple of z and 11.
11
Let k = 107211/34 - 3154. Find the common denominator of -9/10 and k.
170
Find the common denominator of (-3)/(54/83) - -1 and 95/40*(0 + 6/4).
144
Let b be 563/(-40)*(-12)/9. Let h = b - 53/5. What is the common denominator of -21/22 and h?
66
Suppose -6*g + 3*g = -4*i + 23, -2*i + 22 = 2*g. Let b(o) be the first derivative of -o**2/2 - 4*o - 2. What is the lowest common multiple of b(-10) and i?
24
Let q = 12911/12 - 1087. What is the common denominator of q and -83/32?
96
Let m be 1004/(-6) + (-2)/(-6). What is the common denominator of -2 - -1 - (-62)/12 and 1/3 - m/(-24)?
24
Let p(m) be the first derivative of -m**3/6 + 8*m**2 - 2*m - 2. Let d(f) be the first derivative of p(f). What is the least common multiple of 20 and d(0)?
80
Let v(r) = r**2 + 14*r - 7. Let m = -14 + 4. What is the common denominator of 45/11 and v(m)?
11
Let l = -2367/4 + 597. What is the common denominator of -25/24 and l?
24
Suppose -4*l - 29 = -7*l - c, c - 2 = 0. Calculate the least common multiple of 30 and l.
90
Let k = -2/1119 + 43673/17904. What is the common denominator of k and 75/26?
208
Let x = 179 + -165. Let q = 0 - -6. Calculate the lowest common multiple of q and x.
42
Suppose -5*i - 20 = 0, -3*i - 63 = -2*r - r. Let f = -28 - -31. Calculate the common denominator of f and r.
1
Let z = -46 + 57. Let y = 1 + 8. Calculate the least common multiple of z and y.
99
Let k = -39288 - -70054. Let u be k/(-24) + 3*-1. Let w = -1286 - u. Calculate the common denominator of w and -13/4.
12
Find the common denominator of (-34)/(-8) + -13 + 16 and -38/9.
36
Let b = -35 + 41. What is the least common multiple of b and (-69)/(-6) - 2/(-4)?
12
Let y be (-1 - 2)/(3/(-5)). Let w(i) = i - 1 - y*i + i. Calculate the lowest common multiple of w(-7) and 8.
40
Let m be ((-11279)/4)/((-1)/4). Suppose 0 = -b - 8381 - m. Let q = -235789/12 - b. What is the common denominator of q and 31/10?
60
Let n = 15 - -8. Suppose -5*m + n = -4*o, -5*m + 0*m = 4*o - 47. Calculate the smallest common multiple of 3 and m.
21
Let o = -8 - -4. What is the common denominator of o/14 + 219/105 and 43/4?
20
Let x = -10/41 - 1437/328. Let i = 189941/14 - 13561. Calculate the common denominator of i and x.
56
Calculate the common denominator of 23/8 and 2/((-156)/(-417)) - 2.
104
Suppose 4*v = -s - 1, s - 2*s = -4*v - 23. Calculate the smallest common multiple of s and 7.
77
Calculate the smallest common multiple of (32/4)/(4/6) and 5*(-2 + (-52)/(-10)).
48
Calculate the common denominator of -48/31 and (-1394)/28 + (-10)/(-35).
62
What is the common denominator of -23 and -1*(-3 + 1) - (-154)/20?
10
Suppose -q + 15 + 1 = 0. What is the smallest common multiple of 10 and q?
80
Suppose -2*k = -0*k - 16. Suppose -2*h + k = 2*h. What is the least common multiple of h and 3?
6
Find the common denominator of (-4)/10 - (-8873)/(-1330) and -13/20.
140
Find the common denominator of ((-5)/(-14))/(36/(-14)) and (93/24 - -1) + 12/(-8).
72
Let d(q) = 2*q + 1. Let a be d(-3). Calculate the lowest common multiple of (-3)/(-2 + 5) + 11 and (-8)/2*(a + 1).
80
Let c be (-4)/(-18) + (-958)/18. Let b = -6/37 + 973/296. What is the common denominator of b and (c/(-4) + 2)*2?
8
Let q = 6 + -3. Suppose w = q*w + 16. Let o = -5 - w. Calculate the lowest common multiple of o and 7.
21
Let u = -1 + 0. Suppose -5*b + s = 13, -s - 4*s = -3*b + 1. What is the lowest common multiple of b/(-3)*0 - u and 11?
11
Let s(o) = 3*o**2 - 2*o - 2. Let f be s(-2). What is the smallest common multiple of 2 and (8 + -22)*(-12)/f?
12
What is the smallest common multiple of 2/3 + ((-400)/12)/(-4) and (0 - -2)/(-1) - -7?
45
Suppose -6*y - 58 = -2*s - y, -y = -s + 23. Calculate the smallest common multiple of s and 8.
152
Suppose 3*v = -4*x + 89, 28 = 3*x - x - 4*v. What is the least common multiple of 6 and x?
60
Let g be (-1 - -5) + 57 + -1. Suppose -6*l + g = -0. What is the least common multiple of 24 and l?
120
Let w = 45 + -440/9. Find the common denominator of w and -71*(-1)/16*-2.
72
Calculate the lowest common multiple of 2/4 + 3502/68 and 9.
468
Let r be (-60)/(-1684)*162/(-32). Let p = r + -3/421. What is the common denominator of 21/20 and p?
80
Let k be -85*((-12)/10 + 0). Find the common denominator of (-3)/(-28)*k/(-9) and -113/12.
84
Let c = -108 + 158. Let u be c/8 - (-2)/(-8). Calculate the common denominator of -61/10 and (-4)/u*(1 + -18).
30
Let b = -2 + -3. Find the common denominator of 2*(-2)/(14/b) and (1 - 30/66)*1/6.
77
Let v(u) = -16*u - 120. Calculate the smallest common multiple of 2 and v(-9).
24
Let x = 2/303 - 5167/2424. Find the common denominator of 73/36 and x.
72
Suppose 0 = 5*h + 14 + 6. Let i = 10853/156 + -795/13. What is the common denominator of (1/(-7))/(h/(-10)) and i?
84
Suppose 14*c - 15*c + 75 = 0. Calculate the lowest common multiple of c and 10.
150
Find the common denominator of 79/6 and (-1 + 19/(-10))/((-12)/50).
12
Calculate the smallest common multiple of 5/(-3)*36/(-30) and 10.
10
Suppose 2*v - 2*i - 12 = 0, -v = v + 5*i + 9. Suppose -3*n + v = -0. Calculate the lowest common multiple of 10 and n.
10
Let y = 13755 - 371434/27. Calculate the common denominator of y and -8/27.
27
Suppose 4*k - 20 - 796 = 4*y, 843 = -4*y - 5*k. Find the common denominator of (y/30)/(120/(-25)) and -19/22.
176
What is the common denominator of 31/12 and 149/(-240) + 5/15?
240
Calculate the smallest common multiple of 5 and (-26)/117 + 1 + (-22)/(-18).
10
Let v = 36 + -28. What is the least common multiple of v and 9?
72
Suppose 1 = -4*u + 29. Let w(z) = -7*z + 0*z**3 - 3*z - u - 8*z**2 - z**3. What is the lowest common multiple of 20 and w(-7)?
140
Find the common denominator of -45/7 and (-125)/105*(-10 - -4).
7
Suppose -4*v = -3*v - 8. Calculate the least common multiple of v and 12.
24
Let y = 42/83 + -3699/913. Let k = 3/304445 + 3657906663/1217780. Let f = k - 3022. Find the common denominator of y and f.
44
Let y = 105 - 97. Suppose 4*z - 5*s - 23 - 2 = 0, 5*s = -z - 25. Suppose -3*r + 2*r + 2 = z. What is the smallest common multiple of y and r?
8
Let f = -302 - -3619/12. What is the common denominator of f and -61/4?
12
Suppose 4*u - m = 2*m + 111, 3*u = -m + 93. What is the smallest common multiple of u and 10?
30
Find the common denominator of (6/54)/((-15)/153) and -44/45.
45
Let u = -80 - -88. What is the least common multiple of u and 20?
40
Let i = -3/130 - 1/13. What is the common denominator of i and 57/10?
10
Suppose 5*o - 12 - 8 = 0. Suppose -v = -o*b - 73, 49 = -3*b - 0*b - 5*v. Let n = -2 - b. Calculate the smallest common multiple of 14 and n.
112
Suppose -96 = m - 26. Let z = m - -49. Find the common denominator of 5*(z/2 + 1) and 15/4.
4
Let n = -14005/1128 + 41/141. Find the common denominator of n and 214/(-24) - 3/12.
24
Suppose m = -4*m + 10. Suppose 0 = m*b - 4*l - 24, 0*l = -4*b + 3*l + 33. Calculate the smallest common multiple of 20 and b.
60
Let l = -9731/24002 - 4/1091. Find the common denominator of (-46)/69*(-114)/(-8) and l.
22
Let l(n) be the first derivative of -63*n**4/4 - 2*n**3/3 + n**2/2 + 2*n - 3. Let o be l(-3). Let y = 13539/8 - o. Find the common denominator of 63/2 and y.
8
Suppose 40 = 5*q + 3*y, -q = 2*y + y - 20. Suppose 2*m - 4 = -t + 4, 2*t + q*m = 19. Find the common denominator of (0 - t)*114/(-28) and -47/7.
7
Let x(p) = 5*p - 2. Let d(y) = 4*y - 2. Let j = 16 - 10. Let n(f) = j*d(f) - 5*x(f). What is the lowest common multip