be (4314/194496)/((-2)/420). Let a = 1083/40 + -1095879/40520. Let b = v - a. Find the common denominator of b and 123/10.
80
Let n(h) = -3*h - 30. Let c be n(-15). Let s(b) = b - 14. Calculate the lowest common multiple of 5 and s(c).
5
Suppose -x - x + 8 = 2*d, -3*d = -3. Suppose -1121 = -2*a + 5*a + 5*i, 2*a + 749 = -x*i. Let p = 1898/5 + a. Calculate the common denominator of 61/9 and p.
45
Let p(b) = -2*b**3 - 5*b**2 + 6. Let o be p(-4). Suppose 0 = 2*q + o - 60. Find the common denominator of 2/q*(-11)/2 and -40/11.
33
Let o(l) = l**3 + 2*l**2 + 2*l - 2. Let k = 9 - 6. Suppose 4*i + 2*f = -i + 124, -3*f - 66 = -k*i. Calculate the smallest common multiple of o(2) and i.
72
Let n = -28 + 91. Suppose 0 = 3*f - n + 3. Calculate the smallest common multiple of (8 - 1)/(2/4) and f.
140
Let y(i) = -5*i + 5. Let s(u) = 9*u - 9. Let z(h) = -6*s(h) - 11*y(h). What is the least common multiple of (0 + -1)/(9/(-117)) and z(6)?
65
What is the least common multiple of (4 - 326/(-8))/((-10)/(-160)) and 2?
716
Suppose -3*z - 4 = -4*z, 36 = 2*o - 3*z. Suppose -131*x + 140*x - 216 = 0. What is the smallest common multiple of o and x?
24
Let h = 13 - -68. Let d be ((-3)/(h/(-102018)))/2. Let j = d - 1884. Find the common denominator of j and -31/11.
99
Let f = 289/12 - 55/4. What is the common denominator of -26/3 and f?
3
Let z(b) = -b**2 - 3*b - 5. Let u be z(-2). Let s be u/2 - (-2)/4. Calculate the least common multiple of 7 and s*3*(-13)/13.
21
Let z = 499 + -493. Let l(d) = 5*d - 1. Let b be l(-6). Let r = -11 - b. Calculate the smallest common multiple of z and r.
60
Suppose -22*w - 15 = -235. Calculate the least common multiple of (-28)/(-3)*(-3)/(-2) and w.
70
Let k(c) = -c**2 + 17*c + 9. Suppose d = -2*d + 99. Calculate the least common multiple of k(17) and d.
99
What is the common denominator of (-144)/(-24) + 670/(-72) and -31/28?
252
Let g be (6/((-96)/(-20)))/((-9)/(-180)). Suppose 0 = -4*n + 5*h + 18, 2*h = n - 2*h + 1. Let j = g + n. Calculate the least common multiple of j and 22.
352
Let y(s) = s**3 - 3*s**2 - s - 4. Suppose 2*d - 10 = -5*p + 1, -5*d - 2*p = -38. Calculate the lowest common multiple of d and y(4).
8
Let j(d) = d - 2. Let z(y) = y**2 + 3. Calculate the lowest common multiple of z(-3) and j(8).
12
Suppose 199 = 49*j - 95. Calculate the lowest common multiple of 72 and j.
72
Suppose -1 + 56 = -4*x - 3*h, 3*x - 2*h + 20 = 0. What is the common denominator of (-2)/x*155/4*2 and (-2 - 1)*(-64)/(-42)?
14
Let l(p) = p**3 - 25*p**2 + 33*p - 72. Calculate the smallest common multiple of l(24) and 2.
144
Suppose 0 = -5*v - k + 40, -64*k = 5*v - 62*k - 45. Calculate the lowest common multiple of 97 and v.
679
Suppose 14 = -6*p + 68. What is the lowest common multiple of p and 9*(8/2)/4?
9
Let w(k) = -38*k**3 - 3*k**2 - 2. Let l be w(-6). Let s = 267203/33 - l. Find the common denominator of s and -31/33.
33
Suppose 3*b = 4*b - 3*m - 12, -b - 3*m - 6 = 0. Suppose 4*n + 1 = -j + 7, -b*n + 45 = 3*j. Calculate the smallest common multiple of 92 and j.
828
Let g = -1579/28424 + 131844872/10659. Let k = 12364 - g. Find the common denominator of k and 67/12.
24
Let p(x) be the third derivative of x**4/12 + 2*x**3/3 - 13*x**2. What is the least common multiple of 18 and p(6)?
144
Suppose d - 2 = w, 15 = 3*w - 0*w. Let u(n) = 9*n - 76. Let h(m) = 11*m - 76. Let s(i) = 3*h(i) - 4*u(i). What is the lowest common multiple of s(24) and d?
28
Suppose 79374 = -12*b - 117342. Let y = b + 540908/33. Calculate the common denominator of y and 79/21.
231
What is the smallest common multiple of (-5 + (3 - 0))/(2/(-99)) and 99?
99
Let z = -1 - -8. Calculate the smallest common multiple of z and -1 + 5 + (-3 - 0).
7
Let j(i) = 9*i - 9. Let m be j(-7). Let d = -59/13 - -443/26. Find the common denominator of -93*3/m - -3 and d.
8
Let q(k) = k**2 + 22*k + 90. Let s = -9 + 18. What is the least common multiple of q(-5) and s?
45
Let u(k) = -k**2 + 14*k + 23. Let p be u(16). Let z = 3458 + -41525/12. What is the common denominator of p/72*((-1167)/27 - -1) and z?
36
Let z = -21 - -45. Let t be 4 - (-4 - -4) - z. Find the common denominator of (-726)/t*(-2)/12 and 89/30.
60
Let a(u) = 3*u**2 + 40*u - 71. What is the least common multiple of a(-15) and 22?
44
Let q = -15 + 0. Let g = 18 + q. Find the common denominator of (-469)/336 - (-1)/g and 57/16.
16
Suppose 2*b - 2 = 4. Let x(s) = -s**2 + 14*s + 24. Calculate the least common multiple of b and x(14).
24
Let z = 836291/48 + -17422. Let h = -841/48 - z. What is the common denominator of -5/4 and h?
4
Suppose 10*f - 637 + 377 = 0. Calculate the smallest common multiple of 48 and f.
624
Suppose 0 = s - 6*s. Suppose 4*y + d + 3 = s, 5*y + d - 5*d + 30 = 0. Find the common denominator of 1/8 and (-18)/(-11)*y/(-3).
88
Let k = -316180/22011 - -2/2001. Let m = k + 1973/132. Find the common denominator of -71/20 and m.
60
Calculate the common denominator of -22/5 and 1218/108 + 1*(-2)/(-9).
10
Let l = 66 + -80. Let d = 14 - l. What is the lowest common multiple of 3 and d?
84
Suppose 70 = 81*m - 74*m. What is the smallest common multiple of m and 30?
30
Suppose -3*p + 140 = -7*p. Let r be (-8)/(-10) - 7/p. What is the smallest common multiple of -1 - (-12 + (0 - r)) and 12?
12
Let i = 123/35 + 171/280. What is the common denominator of 60/96*(-404)/(-30) and i?
24
Let n be (-6)/21 - 452/(-14). Let p be -3*(0 - n/12). Let h = p - -10. What is the least common multiple of h and 14?
126
Let b be ((-1)/2)/(20/(-200)). Suppose -b*k - 15 = -6*k. What is the least common multiple of k and 15?
15
Suppose -3*p - 84 = -3*j, 3*j - 123 = -p - 43. Calculate the lowest common multiple of j and -1 + 3 - (-7 - 24/(-4)).
27
Suppose 1631*a = 1632*a - 58. Calculate the least common multiple of 8 and a.
232
Suppose 2*q = -p + 133, 5*q - 53 = -p + 89. Find the common denominator of ((-2)/8)/(10/94) and p/20 + 16/(-8).
20
Let o = -1290 + 9015/7. Let g = 229839846259/1396 + -164641710. Let t = g - -24/349. Find the common denominator of t and o.
28
Let l = 117 + -53. Suppose -7*c + 3*c = -l. Let s(p) = 2*p - 18. Calculate the smallest common multiple of s(c) and 28.
28
Let k = -407 + 415. Calculate the lowest common multiple of k and 8.
8
Suppose -15*l = -16*l + 14. Suppose a - 2*a - 161 = -5*d, -157 = -5*d - 3*a. What is the lowest common multiple of d and l?
224
Let d = -3/1207 + 44674/6035. Let h be (-3 + 1)/(3/(-28)). Let v = h - 151/9. What is the common denominator of d and v?
45
Suppose 0 = s - 16 - 32. What is the lowest common multiple of 80 and s?
240
Let y = -602053/3757636 + -15/6857. What is the common denominator of y and -49/4?
548
Let u = 1025/4 - 258. What is the common denominator of 8/(64/(-43)) + 6 and u?
8
Let x = 13/29 + -1654/261. Let l be 1/(-4) - (-3348)/16. Let y = 2257/11 - l. Calculate the common denominator of x and y.
99
Let l = -26216 + 131508/5. Let a = l - 343/4. Let x = -459/40 + a. Calculate the common denominator of 59/5 and x.
40
Suppose 1570*u = 1577*u - 210. Calculate the least common multiple of u and 105.
210
Let l(d) = -d**3 - 12*d**2 - 21*d + 30. What is the lowest common multiple of l(-10) and 120?
120
Let x = -20666 + 1177916/57. Calculate the common denominator of x and -11/38.
114
Let h(l) = 12*l**2 + l - 2. Let d(k) = k + 2. Let s be d(-1). What is the least common multiple of 4 and h(s)?
44
Let d = 1785 + -1367. What is the smallest common multiple of 24 and d?
5016
Let v be (-81)/1 + -8 + 8. Let d = 397 + v. Find the common denominator of -1 + d/(-32) + 0 and 43/5.
40
Let d = -9 + 17. Calculate the least common multiple of d and 4.
8
Let i be -2 + (3 - 4)*3. Suppose -13*y + 14*y - 3 = 0. Calculate the least common multiple of 9 and -1 - -2 - (y + i).
9
Suppose -10 = -9*s + 4*s. Suppose 0 = -3*o - 4 + 7. Calculate the least common multiple of 1/(-2)*(s + -16)/1 and o.
7
Find the common denominator of (-7)/(-98)*54 + -4 - 1178/(-112) and 13/8 - (2 - 3).
8
Let v be (-63)/3 + 1 + 1. Let x = -4 - v. What is the common denominator of -95/6 and (298/16)/(x/(-10))?
12
Calculate the common denominator of ((-60)/140)/((8/(-14))/2) and 49/3.
6
Let z(n) = -n**3 + 13*n**2 + 17*n + 6. Calculate the lowest common multiple of 1 and z(14).
48
Let s(l) = -11740*l**3 - 3*l**2 + 7*l - 6. Let o be s(5).