Let u = -2/567 - -9263/567. Find the common denominator of u and 1/(18/(-267)) - (w - 11).
6
Let y = 397/4 + -17833/180. Calculate the common denominator of 33/80 and y.
720
Find the common denominator of (-14)/1330*(-115)/(-8) and -37/64.
1216
Let j(a) be the second derivative of a**5/20 + a**4/6 + a**3/6 + 12*a**2 - 11*a. What is the smallest common multiple of 16 and j(0)?
48
Let p(o) = o**3 - 4*o**2 - 3*o - 10. Let j be p(7). Calculate the common denominator of -101/10 and 6/(-36)*(j - 0).
30
Let r = -47 - 71. Let y = 206 + r. Calculate the smallest common multiple of 6 and y.
264
Calculate the common denominator of -97/260 and ((-835)/150 - -9) + 4/6.
260
Let z = -13419/10 + 1346. Let t = 25553/12 - 748219/132. Let l = -3535 - t. Calculate the common denominator of z and l.
110
Suppose -5*b + 10 = -3*b + 5*i, 5*i + 15 = 3*b. Suppose -2*u = b*r - 54 + 9, 2*u - 24 = 2*r. Calculate the smallest common multiple of u and 9.
45
Let s = -35 + 45. Suppose 7*z - s = 6*z. Calculate the smallest common multiple of 3*4/10*65 and z.
390
Let q = 45989/6920 + -18/865. Calculate the common denominator of 47/36 and q.
72
Let t be (-3 + 7)*(-24)/(-4). Let h = t - 38. Calculate the common denominator of -61/5 and ((-2)/(-10))/(h/(-245)).
10
Suppose -5*w - 69 = -219. Let v(x) = -x**3 + 3*x**2 + 5*x. Let p be v(5). What is the lowest common multiple of 4 and w/p*30/(-9)?
4
Let g(d) = -d + 5. Let z = 144 - 149. Calculate the smallest common multiple of 6 and g(z).
30
Let u = -617351/34 - -18156. Let c = -29/187 - u. Calculate the common denominator of 5/(-6)*(-339)/(-30) and c.
132
Let a(s) = -2*s**2 + 3*s + 1. Suppose -3*n + 21 = 5*t - 7*t, 2*t + 1 = -n. Let m be a(t). Let z = -24 - m. What is the smallest common multiple of z and 54?
54
Calculate the smallest common multiple of 586 and ((-308)/264)/(2/(-24)).
4102
Let w(a) = -a**3 + 6*a**2 + 6*a - 7. Let k be w(6). Suppose -k = -4*q - 9. Suppose -q*i + 40 = -0*i. Calculate the least common multiple of i and 10.
40
Let g be (0 - 3/(-6))*-6. What is the common denominator of -23/6 and (-143)/66*-5*(-1)/g?
18
Let p(r) = -r**2 - 5*r - 3. Suppose -8*z = 129 - 137. Calculate the least common multiple of p(-4) and z.
1
Let r(b) = -160*b. Let k be r(-7). Let d = -389 + k. Find the common denominator of 10/25 + d/(-90) and 3/22.
198
Suppose -3*v + 52 = -650. Let p = v - 1879/8. Find the common denominator of p and -44/3.
24
Suppose -4*z = -15*z + 11. What is the common denominator of ((-110)/4 - z)*(-68)/(-561) and ((-1)/(-3))/(1/(-65))?
33
What is the lowest common multiple of 36 and -8 + 3 + 8 - (-1 + 3)?
36
Let q = 13 + -18. Let f(r) = -45*r - 11. Let p be f(11). What is the common denominator of q/25 + p/(-80) and 39/14?
56
Let v be 60/9 - 16/(-12). What is the smallest common multiple of (-2)/v + 205/20 and 14?
70
Let o be ((-234)/(-21))/((-1)/(-7)*1). Let c = -62 + o. Suppose -3*a + 10 = -26. Calculate the smallest common multiple of c and a.
48
Let v = 9 + -5. Let u = 26139/7 + -3727. Find the common denominator of v/(-22) + (-3236)/352 and u.
56
Suppose 3*i + 3*u = 24, 5*i - 48 = -4*u - 7. Suppose t + 400 = i*t. What is the lowest common multiple of 4 and t?
100
Let x(c) = -2*c + 6. Let p = 2 + -5. What is the least common multiple of x(p) and -12*(-2)/4 + 0?
12
Let m = 1042/145 - -2/145. Find the common denominator of (66/5)/(39/(-26)) and m.
5
Suppose -l = 4*t - 481, -9*l = -2*t - 10*l + 243. What is the lowest common multiple of t and 187?
1309
Let n = 23 + -63. Find the common denominator of (-4)/(n/6) - -11 and -39/11.
55
Let z = 5895/5302 + -16/241. Let v = -6 + 4. Find the common denominator of z and v/(-4) - 261/(-24).
88
Let l(r) = 6040*r + 5. Let o be l(-4). Let s = -71806/3 - o. Let d = s + -2000/9. Calculate the common denominator of -125/6 and d.
18
What is the common denominator of -149/30 and 2*(-532)/(-240) + 4/4?
30
Let c(u) = u**2 - 24*u + 145. Suppose 2*s - 4*s = -2*q - 30, 3*q - 45 = -2*s. Calculate the smallest common multiple of c(11) and s.
18
Let f = 3 + 1. Let u(v) = v. Let r be (-6)/(-1)*(-8)/(-6). Calculate the lowest common multiple of f and u(r).
8
Let i be 2/(-11) + 120/55. Suppose 3*k - 3*x = 5*k, i*k - 10 = 2*x. Suppose -k*n + 2*q = 2*n - 44, -2*n = -q - 18. What is the least common multiple of 2 and n?
8
Let r be ((-2)/3*(-1374)/(-4))/15. Let u = r + 23/5. Find the common denominator of -31/9 and u.
9
Let b be 9/27 - (-2)/((-52008)/30010). Let i = -1/394 - b. Find the common denominator of i and 3/13.
143
Let j be ((-21)/(-15))/(6/(-384)). Let x = j - -90. Calculate the common denominator of x and -67/4.
20
Suppose 5*t - 13 = 12. Suppose t*j = 2*u + u + 19, 2*u = 4*j - 16. Calculate the common denominator of u + 15/2 + 0 and -113/10.
10
Let m be (-6350)/45 + 2 + 0. Let s = m + 13123/90. Find the common denominator of s and 6664/1008 - 0/1.
90
Let n = -5658/5 - -51782/45. Let i = -409/36 + n. Find the common denominator of i and -77/74.
148
Suppose 0 = 8*p + p + 279. Let h = 42 + p. Calculate the smallest common multiple of h and 6.
66
Let b = 4473/688 - 78/43. Calculate the common denominator of b and -37/1134.
9072
Calculate the smallest common multiple of 126 and (-168)/(-324)*9*81.
378
Let s = 11 - -11. What is the smallest common multiple of s and 24?
264
Let i = -66 + 189. What is the least common multiple of 6 and i?
246
Let i(w) = -w + 14. Let a be i(10). Suppose -30 = -3*u + a*o, 0 = 3*u - 5*u + 5*o + 20. Let z(p) = p - 3. Calculate the lowest common multiple of 5 and z(u).
35
Suppose 15*v - 28 = 11*v. Suppose -2*y - 36 = -4*b, -55 = -4*b - 2*y - 11. What is the least common multiple of b and v?
70
Let y = -101257 + 16201193/160. Find the common denominator of y and -89/160.
160
Let a = -941/12 - -2735/36. Calculate the common denominator of 381/(-36)*(-2)/5 and a.
90
Let f be (2/2232)/(20/(-12)). Let a = f + -16507/930. Find the common denominator of a and 19/(-114) + (10/(-8) - -1).
12
Suppose 3*s - 15 = -0. Suppose -4*m + 2*z + 18 = 0, 0 = m + 7*z - 5*z - 2. Calculate the lowest common multiple of m and s.
20
Let t = -11 - -14. Suppose -4 = t*b - 10, 0 = n - b. What is the least common multiple of n and 18?
18
Suppose -z = 3*z - 16. Let h be z/10 + 1534/65. Calculate the common denominator of (-2)/h*504/(-27) and -15/14.
126
Suppose 2*k + 5*i = 4540, -3*i - 2292 = -2*k + k. Let h be 3/7 + k/70. What is the common denominator of 121/20 and 8/(-28) + h/(-56)?
40
Let g = -2134068/2528141 + -1/32833. Calculate the common denominator of -1/63 and g.
693
Suppose 0 = -4*y + 4*s - 0*s + 24, -2 = -2*y - 3*s. Let z(f) = -8*f - 35. Calculate the smallest common multiple of z(-5) and y.
20
Let f(i) = 103*i. Let g be f(1). Let w = g - 67. Let m = -14 + w. Calculate the smallest common multiple of m and 18.
198
Let p = 8175 + -130861/16. Calculate the common denominator of p and -91/74.
592
Let d = -12 + 12. Let y = 9 + d. What is the least common multiple of y and 1?
9
Suppose 5 = 9*q - 8*q. Suppose -s - m - m = -22, 0 = q*m - 20. Calculate the least common multiple of s and 12.
84
What is the common denominator of (-6)/32*-2*660/(-189) and 89/24?
168
Suppose -4*y = -4*m + 24 + 24, -m - 5*y + 36 = 0. Calculate the smallest common multiple of 896 and m.
896
Let l be ((27/2)/(-9) - -1)*74. What is the common denominator of -71/16 and (1/l)/(-2 + 360/177)?
592
Suppose -23 = -24*v + 73. Calculate the lowest common multiple of v and 289.
1156
Suppose -54*m = -8*m - 690. Calculate the least common multiple of 30 and m.
30
Suppose -2*p = p - 18. Let a(r) be the third derivative of r**4/4 - r**3 - 22*r**2 - 2. What is the lowest common multiple of a(p) and 6?
30
Let m = 8/2605 - -84421/502765. Calculate the common denominator of m and 23/8.
1544
Let x = -118 - -945/8. Find the common denominator of 113/42 and x.
168
Find the common denominator of -49/27 and 23/(-30)*6/48*4.
540
Suppose -3*z - 115 = 41. Let s = z - -66. Calculate the lowest common multiple of 5 and s.
70
Suppose 0 = -2*x + x + 2*v + 34, 28 = x - 4*v. Suppose -39 = -14*q + q. What is the smallest common multiple of x and q?
120
Suppose u + 0 + 8 = 0. Calculate the common denominator of (-7)/(-140) + (-1)/4 and 1660/u*(-2)/(-40).
40
Calculate the least common multiple of 8 and 485 + 15 + 12/(-2).
1976
Let y(c) = c**3 