. Let d = s - 2543/30. What is the common denominator of 1/(6/(-86)) - 2 and d?
30
Suppose -2*t = -3*t + 2*k - 2, -4*t - k - 26 = 0. Let c be 3*((-20)/t)/2. Suppose 2*o - c = 11. What is the least common multiple of 8 and o?
8
Let c(j) be the first derivative of j**4/6 - 2*j**3/3 + j**2/2 + 2. Let y(p) be the second derivative of c(p). What is the lowest common multiple of 2 and y(3)?
8
Let c be (-6)/(-9) + 5/(-3). Let z(n) be the third derivative of -3*n**4/8 + n**3/6 + n**2. What is the lowest common multiple of 8 and z(c)?
40
Let o = 56 + -51. Calculate the lowest common multiple of o and 9.
45
Let l = 7 + -4. Let p = 23 + -19. Calculate the least common multiple of l and p.
12
Let h = 91/132 + 2/33. What is the common denominator of 74/9 and h?
36
Suppose 0 = 2*m - 2*w - 26, -3*w + w + 14 = 3*m. Suppose 4*r - m*r + 16 = 0. What is the smallest common multiple of 8 + 0 + (-2 - 0) and r?
12
Calculate the common denominator of -37/16 and (-259)/(-72) + (-4)/18.
16
Suppose -x = 2*g - 3037, 3*g = -x + 2715 + 319. Let c be 36261/12 + (-1 - 1). Let n = x - c. Calculate the common denominator of -53/2 and n.
4
Suppose m + 2*m - 24 = 0. Suppose 4*b = 4 + m. What is the least common multiple of b and 9?
9
Let l(s) = s**3 - 8*s**2 + s + 4. What is the smallest common multiple of 12 and l(8)?
12
Suppose -4*k + 2*d = -34, -28 = -5*k - 5*d + 37. Calculate the smallest common multiple of k and ((-16)/24)/((-6)/27).
30
Let z = 226 + -4013/18. Let o = -11753 + 211637/18. What is the common denominator of z and o?
18
Let n = 8 - 5. Let q = 3 - n. Suppose -3*g + 10 = 4*c - q*c, 2*c = -4*g + 10. Calculate the lowest common multiple of 20 and g.
20
Suppose -10 = 5*a - 3*a. Find the common denominator of 31/12 and (2/a)/(36/(-635)).
36
What is the common denominator of (-27)/(-2)*33/(-36) and 97/20?
40
Let w be -1 - (-1)/((-2)/(-2)). Suppose 0 = 3*u - 15, -3 + w = -g - 5*u. Calculate the common denominator of 38/g + 6/(-4) and 53/2.
22
Let n = 16 + -6. What is the smallest common multiple of 20 and n?
20
Let k(b) = 3*b**3 - 3*b**2 + 2*b - 3. Let c be k(2). Suppose c - 68 = -o. Suppose -2*p + o = 3*p. Calculate the least common multiple of p and 6.
66
Let j = -1606/3 + 540. Let n = 57644662/103347 + -2/103347. Let s = n + -553. What is the common denominator of s and j?
9
Suppose 0 = 5*t + 9 + 66. Let a = t + 2. Calculate the common denominator of -11/8 and (-8)/7*a/2.
56
Suppose -4*q + 3*q + 6 = 0. Suppose 5*w = -15, -5*w + 5 = i - 3. Suppose 16 = c - v, 4*c - 3*v - 83 = -i. What is the smallest common multiple of q and c?
12
Let o = 575 - 5731/10. Let y be (-2)/10*(0 + 2). Let m = o + y. What is the common denominator of -107/10 and m?
10
Let x = 10 - -8. Calculate the least common multiple of x and 3.
18
What is the common denominator of ((-2 - -4) + 303/72)*-1 and 9/4?
24
Let w = -3741/7 - -100622/189. What is the common denominator of 5/39 and w?
351
Let l(a) = -a**3 - a**2 + a. Let s be l(-2). Suppose -2*b - s*j = -14, b + j - 1 = 2*j. Let y = 25 + -22. Calculate the lowest common multiple of y and b.
12
Suppose 5*o = -13 + 73. What is the least common multiple of 12 and o?
12
Let l = 511/11 - 482/11. What is the common denominator of (-8)/18*894/(-16) and l?
66
Let b = -1/943 - -49041/4715. Calculate the common denominator of -21 and b.
5
Let c be ((-2)/44)/(199/4). Let r = c - -129169/19701. What is the common denominator of -17/9 and r?
9
Let b = 1705518/55 - 2061076499/66440. Let i = -26/151 + b. What is the common denominator of 1/8 and i?
8
Let h = -55 - 1. Calculate the common denominator of (-638)/60 - (-1)/(-5) and (110/h)/(4/16).
42
Let y = 26855/16 + -1679. Let w = 43777/8930 + -2/893. Calculate the common denominator of y and w.
80
Let f be (-2 - (-3)/(-6))*-2. Suppose -f*g + 14 = 2*d, -d + 3*d - 10 = -3*g. Let u(o) = 5*o**2 + o + 1. What is the least common multiple of d and u(-1)?
10
Let z be (20/(-6))/((-2)/(-6)). What is the least common multiple of 74/10 - (-4)/z and 11?
77
Let h(g) = g**2 - 4*g + 3. Calculate the lowest common multiple of h(5) and 22.
88
Suppose -17*z + 22*z = 35. What is the least common multiple of z and 1?
7
Let s be 0/(1 - (-1 + 1)). Suppose -g + 1 + 4 = s. What is the smallest common multiple of g and -10 + 6 + 12 + -1?
35
Let b = -132 - -140. Calculate the lowest common multiple of 20 and b.
40
Let w(x) = x**2 - 3*x - 4. Calculate the lowest common multiple of w(-3) and ((-16)/20)/(3/(-75)).
140
Let t be ((3/(-501))/1)/15. Let y = t - 177847/20040. What is the common denominator of y and (-2)/32*(-1212)/9?
24
Suppose 23 = -2*a + 5. Let f = a + 15. What is the smallest common multiple of 18 and f?
18
Let p = -17 - -183/11. Find the common denominator of p and -19/4.
44
Let s = 5 - 2. Let c(f) = -f - 9. Let l be c(-6). Calculate the least common multiple of s and 4 - (l - (-2 - -1)).
6
Suppose -26 = -5*o + 4. Calculate the lowest common multiple of o and 15.
30
Let r(l) be the third derivative of -l**6/120 - l**5/10 - l**4/24 - l**3/6 - l**2. What is the common denominator of 6/18 - (-169)/15 and r(-5)?
5
Suppose 0 = 3*c - 5 - 16. Find the common denominator of 36/c + (-2)/(-1) and ((-3)/(-6))/(1/(-41)).
14
Let l = -2021/4 + 508. Calculate the common denominator of l and 73/44.
44
Suppose -1 = -a + 5*f, 0*a + 3*a - f - 3 = 0. Suppose 3 = 2*s - a. What is the smallest common multiple of 13 and s?
26
Suppose 67 - 1 = 3*v. Calculate the least common multiple of v and 12.
132
Find the common denominator of -77/6 and -76*(4 - 1/((-3)/(-11))).
6
Let v = 471 - 853/2. Let r be 621369/(-4290) + 4/(-10). Let m = r + 1910/13. Find the common denominator of v and m.
22
Let d = 108013/110 + -982. Calculate the common denominator of -49/2 and d.
110
Let y = 6061/474 + -49/79. Find the common denominator of y and -68/3.
6
Let t(r) = r**2 + r + 4. Let i be t(0). Calculate the common denominator of -65/8 and i + -1 + 205/(-18).
72
Let n = -130/231 + -38/33. Find the common denominator of n and -25/8.
56
Calculate the common denominator of -69/22 and 5/(-20)*77 - 4.
44
What is the least common multiple of 9 and (-1 + -1 - -3)/(9/27)?
9
Let s = -159/11 - -141/11. What is the common denominator of s and (-4)/(-64)*-26 + -1?
88
Let w(l) = 75*l**2 - l - 4. Let d be w(5). Let n = 9478/5 - d. Let u = n + 19/10. Find the common denominator of -41/12 and u.
12
Let m(i) = -2*i - 4. Let x be m(-3). What is the common denominator of (30/(-28))/(1/x) and 39/8?
56
Let c be (-2754)/(-4) + (-2)/4. Let n = c + -5517/8. Calculate the common denominator of n and -54/7.
56
Let x be 59293/3*9/(-57390). Let d = -1/1913 + x. What is the common denominator of d and -101/8?
40
Let o(c) = c**3 - 15*c**2 + 15*c - 12. What is the lowest common multiple of o(14) and 18?
18
Let j(z) = -z**3 + 6*z**2 - 5*z + 6. Calculate the smallest common multiple of (1 - (-1)/1)*1 and j(4).
18
Suppose 0 = -5*u - 11 + 191. Calculate the lowest common multiple of 12 and u.
36
Calculate the common denominator of 73*((-33)/154 + 4/(-14)) and -23/5.
10
Suppose -3*c + 2*g = -14, g + 20 = 4*c - 3*g. Calculate the smallest common multiple of 62 and c.
124
Let h(f) = -f**3 + 34*f**2 - 63*f - 20. Let n(l) = 2*l - 2. Calculate the smallest common multiple of n(6) and h(32).
60
Let j = 0 - -1. Let i = 49 - 19. What is the least common multiple of (i/(-9))/((-2)/6) and j?
10
Let k be ((-1)/(-2))/((-6)/(-216)). Find the common denominator of 33/2 and 27/k - (-78)/(-20).
10
Let a be (-1)/6*11667/(-9). Let t = -216 + a. What is the common denominator of t and 31/20?
180
Let w(a) = a. Let t(d) = 2*d - 7. Let r(p) = t(p) - 3*w(p). Let y be r(-6). Let j(l) = 11*l**2 + l. What is the least common multiple of j(y) and 3?
30
Let t be 203/(-2)*(-9)/336. Let w = -1109/96 + t. What is the common denominator of 133/12 and w?
12
Suppose 0 = 2*r + 3*r. Suppose -4 = -r*n + 2*n. Let v = 39 + n. Calculate the common denominator of -47/10 and v.
10
Let v(n) = -n**3 + n + 330. Let w be v(0). What is the common denominator of -115/18 and w/(-96) + 3*1?
144
Suppose 5*n = 6*n - 5. Calculate the smallest common multiple of 6 and n.
30
Let t be 1 + 4 - (-1)/1. Calculate the common denominator of -29/3 and (122/6)/(20/t).
30
Let x(d) = 29*d + 18. Let z(g) = -10*g - 6. Let k(a) = -6*x(a) - 17*z(a). What is the lo