4*f + f + 6 = 0. Suppose -3*g = f*v + 2*v - 5, -3*g = -5*v + 13. Calculate the lowest common multiple of k and v.
6
Let k(z) = -50*z + 1. Let f be k(1). Calculate the common denominator of (-14)/f + (-614)/(-56) and -34.
4
Suppose -4*a - 16 = 24. What is the common denominator of 36/5 and (-8)/a + (-1288)/60?
15
Let d(s) = -s - 6. Let r be d(-7). Find the common denominator of (-480)/108 - 4/r and -127/6.
18
Calculate the least common multiple of 3 and (12/1)/3 - 0.
12
Let b = -1059460288/341255 - -3/68251. Let u = 3115 + b. Let f = 8921/1240 + 28/155. What is the common denominator of u and f?
40
Let q = -88513/63738 - 2/10623. Find the common denominator of q and 83/20.
180
Let z(o) = o + 3. Let j be z(-7). Let v = j - -16. What is the smallest common multiple of v and 20?
60
Let l(r) = -r**2 + 9*r - 10. Let f be l(7). Suppose 4*a = -5*b + 16, 6*a = f*b + 2*a + 16. What is the least common multiple of 22 + (b - -1) + -3 and 8?
40
Let b(x) = x**3 - 8*x**2 - 9*x + 12. What is the least common multiple of 81/4 + (-3)/12 and b(9)?
60
Suppose 3*f + 40 - 10 = 0. What is the lowest common multiple of -1 - (-3)/(-6)*f and 22?
44
Find the common denominator of 0 + 0 - (-1)/(-4) and 4 - (-10)/(400/(-396)).
20
Calculate the common denominator of (-478)/120 + (1 - 0) and 101/18.
180
Suppose -1 = -u + 1. Suppose 0 = -4*r + f + 3, -5*r + u*f - 4 = -2*r. What is the least common multiple of r and 10?
10
What is the common denominator of 14 and (30/(-4))/((-126)/(-231))?
4
Suppose -5*f + 6*f - 24 = 0. What is the least common multiple of 12 and f?
24
Let q = 16 + -21. What is the common denominator of (-4 - q) + (-20)/88 and -25/8?
88
What is the common denominator of 83/6*(-2)/(-4) and (-267)/54 - 6*-1?
36
Suppose 5*l + 3*q + 1656 = 303, 2*l + 539 = q. What is the common denominator of 0/1 - l/20 and -125/18?
18
Let x be 1 + (2 - 4/(-4)). Let k = 577 - 11537/20. Calculate the common denominator of k and x/12 - 1041/126.
140
Suppose 2*v + 0 - 6 = 0. Let l = 7 + 15. Calculate the smallest common multiple of l and 11 - v*(-1)/3.
132
Let r(z) be the third derivative of z**4/8 + 2*z**3/3 + z**2. Let j be 1/2*10 - 1. Calculate the smallest common multiple of r(j) and 16.
16
What is the smallest common multiple of (-3 + 1)*7/(-2) and 19?
133
Let g = 25/1327 - 148502/7812049. Let f = g - 571023/94192. What is the common denominator of -95/12 and f?
48
Let t(c) = c**3 + 6*c**2 - 8*c - 5. Let p = 16 + -7. What is the smallest common multiple of p and t(-7)?
18
Let u = -705149/132752 - 6/8297. Find the common denominator of -93/20 and u.
80
Let f = 4 - -1. Let v(i) = 2*i + 4. Calculate the smallest common multiple of 2 and v(f).
14
Suppose -3*j + 5*q = -819, 0 = 2*j - 2*q - 34 - 516. Let k = 134 - j. Let w = k - -1149/8. Find the common denominator of w and -35/4.
8
Suppose 25 = 3*a + 4. Suppose 3*d - 7 = 14. What is the smallest common multiple of a and d?
7
Let m = 9 - 2. Let q = -5 + 5. What is the lowest common multiple of (1 - q)/(-1 - -2) and m?
7
Let s(l) = -11*l**3 - l - 2. What is the lowest common multiple of s(-1) and 4?
20
Find the common denominator of 17/4 and ((-80)/(-360))/(4/249).
12
Suppose -5*b + b = 5*a - 75, -4*a - 3*b = -60. What is the common denominator of (a/2)/(1/1) and (153/272)/(2/36)?
8
What is the lowest common multiple of 34 and (-1)/(0 - 5/70)?
238
Suppose 3*d - 9 = 0, -43 = 4*p - 3*d + 14. Calculate the smallest common multiple of 2/(-4) - 54/p and 4.
4
Let u(m) = -m**3 - m**2 - 3*m - 1. Let g be u(-3). Calculate the common denominator of g/(-12)*9/2 and 71/22.
44
Let s = 5125/4 - 1293. Calculate the common denominator of s and -7/4.
4
Let t = -21 + 13. Suppose 4*a + 4*b - 60 = 0, -3*b - 24 = -a - b. Calculate the least common multiple of a and (t/6)/((-2)/24).
144
Let d(f) be the second derivative of -f**4/12 + 3*f**3/2 - f**2 + 6*f. Calculate the smallest common multiple of 18 and d(7).
36
Let v(x) = -x**2 + 9*x - 2. Let t = -15 - -23. Calculate the smallest common multiple of v(t) and 3.
6
Suppose 6*v - 12 = 3*v. Suppose -v*w - 4 = -16. What is the least common multiple of w and 11?
33
Let y = -7 + 11. Suppose -y = -2*n + n. Let j(x) = -x**3 + 5*x**2 + x + 3. What is the least common multiple of j(5) and n?
8
Let v = 169/9 + -15. Calculate the common denominator of v and (-43)/12 - (-9)/27.
36
Let o be 21300/(-63)*15/(-8). Let n = 4422/7 - o. What is the common denominator of 83/22 and n?
154
Let a = 951 - 10501/11. What is the common denominator of 9/2 and a?
22
Let p = 61158673/48 + -7582955/6. Let g = -10307 + p. Calculate the common denominator of 123/10 and g.
80
Let g = 22/97 - -3307/388. Find the common denominator of 83/6 and g.
12
Let l = -50 - -20. What is the smallest common multiple of (16 - 1)/(l/(-20)) and 5?
10
Let c = 35 + -24. Suppose 4*s - c = -5*w + 14, w = 2*s + 5. Calculate the least common multiple of w and 1.
5
Suppose 0 = -4*r + 23 + 25. Let c be ((-74)/r)/(4/18). Let w = 142/5 + c. What is the common denominator of -97/6 and w?
60
Suppose 0*n - n + 16 = -o, 4*n = -2*o + 52. Calculate the least common multiple of n and ((-14)/4)/(3/(-12)).
14
Suppose 4*u + 33 - 9 = 0. Let d = -79 - u. Find the common denominator of (0 - d/(-9)) + 2 and 65/3.
9
Suppose 3*b - b + 44 = 2*o, 22 = o + 2*b. Suppose 23 = 4*x + 2*r + 5, 0 = 5*x - 3*r - 17. Calculate the least common multiple of o and x.
44
Let l = -6 + 14. What is the common denominator of -39/4 and 4/l - (-47)/(-18)?
36
Let h = 71 + -565/8. Let u = h + -1/2. Find the common denominator of -58/9 and u.
72
Let k = 357/68687 + 10106395549/686870. Let i = -17500003/1190 + k. Let u = -5/119 - i. Calculate the common denominator of -41 and u.
7
Let t = -10 - -12. Suppose -22 = -7*h + 2*h - t*s, -2*h + 4*s + 28 = 0. Calculate the smallest common multiple of 18 and h.
18
Let c = -1471 + 20579/14. Let t(i) = -32*i + 2. Let r be t(2). What is the common denominator of 0 + (r/16 - -1) and c?
56
Let m = -6 - -10. Calculate the smallest common multiple of 9 and m.
36
Find the common denominator of -2 - (-199)/38 - 1 and 123/20.
380
Let z = -3759 + 6108. Suppose 4*n - 2115 = z. Let d = n + -2313/2. Calculate the common denominator of 13/8 and d.
8
Let l = 4 + -6. Let t = l - -3. What is the least common multiple of 8 and (1/2)/(t/12)?
24
Let q = 13629 - 8054. Let r = q - 1417. Let a = r - 45787/11. Find the common denominator of a and 11.
11
Let w(i) = i**3 - 5*i**2 - 7*i + 9. Let v be w(6). Suppose 3*q - v*g + 0*g = 48, 2*g = 4. What is the smallest common multiple of 8 and q?
72
Let s be 2/(-5) - (-333288)/832995. Let g = s - 1240253/148088. What is the common denominator of g and 47/10?
40
Let f(u) = u - 11. Let m be f(-12). Let b = -21 - m. What is the smallest common multiple of 1 and b?
2
Let y = -9361/6 + 1567. Find the common denominator of -23/15 and y.
30
Suppose 4 = 5*v - 6, -4*g - v = -18. Find the common denominator of (g/8)/((-6)/212) and -67/2.
6
Let q = 25/87 - -193/1044. Find the common denominator of 53/2 and q.
36
Let j = -5 - -7. Find the common denominator of (15/(-22))/((-1)/j) and 57/4.
44
Let r = 830/7 + -5225/42. What is the common denominator of -81/4 and r?
12
Let z = 13 + -11. Calculate the common denominator of 21/11 and z - (46/(-20) + 4).
110
Suppose -2*p - 2*a + 3 = 3*a, -2*p + 10 = -2*a. What is the least common multiple of p and 1?
4
Calculate the common denominator of 50 and -2 + 8/(-12) + 60/(-99).
11
Suppose -5*o - w = -15, w = 4*o - 4*w + 17. What is the smallest common multiple of o and 4?
4
Let n be (-1)/(-6) - 58/(-12). Suppose -q + n*q - z = 34, -3*z = -q + 3. What is the smallest common multiple of 2 and q?
18
Let r(c) = -5*c + 5. Let i be r(-8). Let v = 4634/103 - i. Let w = 8151/1442 + v. Find the common denominator of -23/14 and w.
14
Suppose -672 = -3*u - 2*q, -4*q - 690 = -3*u - 0*u. Calculate the smallest common multiple of 6 and u.
678
Suppose -3 = 3*m - 2*m. Find the common denominator of -7/16 and (-6)/m*(-38)/(-88).
176
Suppose -l = 3*o - 112, 0 = 4*o - o - 5*l - 88. Calculate the common denominator of o and 2 + (-5)/(30/63).
2
Let y = 135/1214479 + -21534002479/677679282. Let r = y - -756/31. What is the common denominator of r and (-206*(-2)/(-8))/3?
18
Let k = 99 - 143. What is the common denominator of 122/k - (1 - 2)