d 8?
6
Let o be (-2 - (-15)/6)*32. Let l = o + -14. Find the common denominator of l/6 + (-361)/30 and 65/6.
30
Let z(t) = t**3 - 19*t**2 + 32*t - 24. What is the least common multiple of 18 and z(18)?
684
Let z = 1057 - 7379/7. Let x = -42 - 84. Calculate the common denominator of (8/18)/((-12)/x) and z.
21
Let h(f) = -2*f**2 + 21*f + 1. Let n be h(9). Let r = n + -19. Calculate the smallest common multiple of 9 and r.
9
Let i(n) = -2*n**2 - 8*n + 3. Let q be i(-6). Let z = q + 41/2. Let a = 7123/115 + -311/5. What is the common denominator of z and a?
46
Suppose w = 0, 174 - 44 = 5*k + 5*w. Suppose -391*f + 494*f - 412 = 0. What is the lowest common multiple of k and f?
52
Suppose 4*n = -o - 5, -2*o = -4*o - 3*n + 15. Find the common denominator of 278/88 + o/(-20) and 9/4.
44
Let l(y) = y - 1. Let t(o) = -2*o + 2. Let m(z) = 9*l(z) + 4*t(z). Let p be m(-2). Find the common denominator of -31/2 and p/30*665/6.
12
Let r = -5/2113 - -251597/63390. Calculate the common denominator of -167/150 and r.
150
Let d = 1001/3 + -334. Find the common denominator of -35/6 and d.
6
Find the common denominator of (-3)/7 - (-129)/(-189) and -79/278.
2502
Suppose -2*g - 2 - 8 = -2*i, -2*i = -3*g - 12. What is the common denominator of (3 - i) + 108/10 and (-1)/((-12)/39) + 0?
20
Let l = 19 + -25. Calculate the common denominator of 107/10 + 2/5 and 556/40 + l/15.
10
Let f = -1/13650 - -140597/27300. Calculate the common denominator of -9*(9 + (-280)/32) and f.
20
Let v = 198641/24 - 8274. Find the common denominator of 67/36 and v.
72
Let z = 838 - 852. Let g(l) = 2*l + 2. Let h be g(-5). What is the smallest common multiple of h/z + (-40)/(-28) and 20?
20
Let w = -139/234 + 53/26. Find the common denominator of -111/28 and w.
252
Let v be (15/150)/((-8)/187810). Let c = 2360 + v. What is the common denominator of -23/9 and c?
72
Suppose -5*y + 6*y = -55. Let g = 62 + y. Let o(r) = -r**3 + 4*r**2 + 6*r + 6. What is the lowest common multiple of o(5) and g?
77
Let u be 29*6/15 - 4/(-10). What is the common denominator of (-1)/((-8)/98)*u/(-27) and 117/10?
90
Let d be 385/(-4) - (-93)/(-124). Let p = d + 101. What is the lowest common multiple of p and 20?
20
Suppose 1156 = -20*c + 37*c. What is the lowest common multiple of c and 6?
204
Let q = -5 + 6. Let a be (-3)/(-9)*(12 + 0). Calculate the least common multiple of 20/q - a - -4 and 14.
140
Let j(b) = b**3 + 8*b**2 + 16*b + 5. Let z be j(-7). Let p = -25 - z. Calculate the lowest common multiple of 3 and p.
33
Let w = -794969 - -91420777/115. Let n = 58/23 + w. What is the common denominator of -23/30 and n?
30
Suppose 0 = 2*z - x - 5607, 14010 = -47*z + 52*z - 4*x. Calculate the least common multiple of z and 4.
5612
Let l be (48/128)/(36/3119). Let b = 1/96 + l. Calculate the common denominator of 57/5 and b.
10
Let g = 1 + 1. Let u be 28/(-5)*(-5)/g. Suppose 0 = f + 2*d - u, -5*f + 21 + 21 = 3*d. Calculate the common denominator of f and -13/10.
10
Let j = -35 + 31. Let b = 20 + j. Calculate the smallest common multiple of b and 2.
16
Suppose -5*y + 6 = 5*m - 9, 3*m + 33 = 4*y. Calculate the smallest common multiple of 3 and y.
6
Find the common denominator of -1 + 4 + (-151)/24 and -97/580.
3480
Suppose 0 = 25*j - 16*j - 72. Calculate the smallest common multiple of j and 102.
408
Let y = 61628/3 - 20332. Let p = y - 222. Find the common denominator of (-51)/6*4/22 and p.
33
Let q = 1 - 0. Let u(t) be the third derivative of 11*t**6/120 - t**5/30 + t**3/6 - 7*t**2 + t. Calculate the lowest common multiple of u(q) and 11.
110
Let k = -6481 + 751769/116. What is the common denominator of k and -65/3?
348
Suppose 0 = -3*n + 1030 + 686. What is the common denominator of 83/8 and (-2)/6 - n/552?
184
Let i = -34 + 33. Calculate the common denominator of -125/6 and i/(456/142 + -3).
30
Suppose -o + 3*o = l - 448, o + 214 = -2*l. Let c = o + 487/2. Find the common denominator of (53/(-15))/((-8)/6) and c.
20
Let r = 113 - 81. Suppose -2*a + r + 4 = 0. What is the smallest common multiple of 20 and a?
180
Suppose 4*x + 0 - 92 = 0. Calculate the least common multiple of x and 1.
23
Let c = -13730/11 - -1249. Let v = 2208 + -35297/16. What is the common denominator of v and c?
176
Let i(x) = 2*x**3 + 48*x**2 + 44*x - 36. Calculate the least common multiple of i(-23) and (-1)/(-4) - (-7)/4.
10
Find the common denominator of (-26)/65 + 38/(-80) and -125/168.
168
Let v(w) = 95 - 89 + w**2 - 3*w + w. Let o be v(-12). Find the common denominator of -19/6 and 7/14 - o/20.
30
Let s(z) = -17 - 5*z + 17 + 2*z. Suppose 2*f - 2*p - 50 = 0, -4*p = -3*f - 2*f + 120. Calculate the smallest common multiple of s(-4) and f.
60
What is the common denominator of -13/90 and -3 - ((-322)/504 + 6/8)?
90
Let c(h) = h. Let o be c(6). Suppose -2*s - t = -15, -5*t + 25 = 4*s + 4. Suppose s*q - o*q = 6. What is the smallest common multiple of 3 and q?
6
What is the least common multiple of 32 and (-4)/18 + (-3980)/(-90)?
352
Let u = 7879009/7896 - 16167/329. Let o be 0 + -2 - 3799/(-4). Let l = u - o. Calculate the common denominator of -119/20 and l.
120
Let r(c) = c**2 + 8*c - 3. Let n be r(-9). Let z(g) = -g**2 + 11*g - 8. Let o(a) = -a**2 + 13*a - 2. What is the least common multiple of o(11) and z(n)?
220
Let y(w) = -55*w - 72. What is the lowest common multiple of y(-3) and 12?
372
Let w = -22 - -14. What is the common denominator of 27/11 and w/(-28) + (-2315)/(-350)?
110
Let r be 16/7 - -2 - (-4)/(-14). What is the common denominator of 43/8 and r/6 + ((-298)/132 - -3)?
88
Suppose -7*x = -13*x + 12. Calculate the smallest common multiple of 11 and x.
22
Let c = 2/709 + 697/4254. What is the common denominator of -49/52 and c?
156
Let s(k) = -2*k**2 - 2*k - 134. Suppose -3*y + u - 8 + 3 = 0, -y - 20 = -4*u. Let r be s(y). What is the common denominator of 61/40 and (r/(-10))/(18/45)?
40
Let s = -511 + 265. Let w be 24/(-16)*(-3854)/(-24). Let q = s - w. What is the common denominator of q and 75/4?
8
Let l(a) = a + 7. Let x(c) = 1. Let g(v) = l(v) + 5*x(v). Calculate the smallest common multiple of g(6) and 24.
72
Let u(x) = -x**3 + 3*x**2 - 2*x + 5. Let m be u(3). Let y = 21 + m. What is the lowest common multiple of y and 16?
80
Let t = -244/3 + 78. Let n = 9522/7 - 1355. What is the common denominator of n and t?
21
Calculate the common denominator of -2 + -1 + 15*(-84)/(-297) and -88/21.
231
Suppose j - 95 = -3*k, -25*j = -k - 20*j + 5. What is the least common multiple of 11 and k?
330
Let b(f) = -6*f - 161*f**3 + 4*f + 2*f**2 - 115*f**3 + 1. Let i be b(1). Let x = i + 2157/8. Calculate the common denominator of -101/22 and x.
88
Let r(c) = c**2 + 5. Let n be r(-5). Suppose -n = -4*y + 6*y. What is the common denominator of 31/10 and (-567)/18*6/y?
10
Let q(t) = -t**3 + 35*t**2 - 66*t + 4. What is the lowest common multiple of 42 and q(33)?
84
Let g be 49/(-21) + (-4)/6. Let i = -617/60 - -25/12. Calculate the common denominator of 237/12 + (g - -1) and i.
20
Suppose 0 = -3*f - 2*n + 385, n + 211 = 2*f - 55. What is the smallest common multiple of f and 9?
1179
Let z be 1 + -6*(-2)/4. Let u(n) be the second derivative of 2*n**3/3 + 3*n**2 + 39*n. Calculate the lowest common multiple of u(z) and 8.
88
Suppose 0 = -0*i - 2*i + 128. Suppose 62 = 3*x - i. Calculate the smallest common multiple of ((-8)/(-14))/(12/x) and 2.
2
Find the common denominator of -43/1954 and 1/6*(-2 - -47).
1954
Let k = 20627/2475 - 2/2475. What is the common denominator of k and 1/33?
33
Let s = 13/29 + -2449/870. Calculate the common denominator of s and -1/78.
390
Let y(d) = -d**3 + 3*d**2 + 8*d - 6. Let u be y(5). Find the common denominator of -19/8 and 3/(-6) + 212/u.
8
Let h(k) = k + 6. Let q be h(-3). Suppose 2*c = q*s + 1, 21 = 3*c - 3*s + 5*s. Find the common denominator of 165/(-18) + c + -7 and 50/11.
66
Let j(h) be the second derivative of h**5/20 + h**4/2 - 4*h**3/3 - 5*h**2 + 4*h. Let w be j(-7). What is the common denominator of (-7)/2 + 2/w and 3/4?
12
Suppose w - 2*x - x - 17 = 0, -4*w + 3 = x. Suppose 17 = -w*k - 5*j + 50, -4*k - j + 39 = 0. What is the least common multiple of k and 50?
450
What is the common denominator of -41/40 and (-7 - 72969/(-10244))*1?
7880
Suppose 102 = -224*l + 227*l. What is the least common multiple of