the common denominator of -71/22 and 231/468 - 8/12.
572
Let v(q) = -q**2 - q. Let g(p) = -5*p**2 - 6*p + 4. Let b(z) = g(z) - 6*v(z). Let l = 17 - -3. What is the smallest common multiple of l and b(-4)?
20
Suppose 4*q + 1 = 57. Let f be (3 + -3)*(-3 + 2). Suppose -5*n - 2*i + 92 = f, n + n - 3*i = 52. What is the lowest common multiple of q and n?
140
Let h(m) = 6*m - 2. What is the lowest common multiple of 28 and h(4)?
308
Suppose -48 = 4*o + 2*b, 0 = -3*o + 5*b - 0*b - 49. Let f = o - -35. Calculate the smallest common multiple of 20 and f.
220
Let l be (1 - 0)/((-4)/60). Calculate the lowest common multiple of l*4/(-3) + 0 and 10.
20
Let m = -374 - -4423/12. Let d be (-7799)/(-4) + (-1)/(-4). Let a = 23327/12 - d. Find the common denominator of m and a.
12
Let g = -216 + 353. Suppose -g + 22 = -5*d. Find the common denominator of d and 1/4.
4
Let q = 1699 + -11937/7. Let s = -6 - -8. Find the common denominator of q and s/10 + 1358/60.
42
Suppose v = -v + 16. Let j = 27 - 25. What is the least common multiple of v and j?
8
Let s be 173/5 + (-3)/5. Suppose -4*f - s = f - 4*x, 3*x = 3. Let q = 7 + f. Calculate the lowest common multiple of q and 11.
11
Let h = 12 + -30. Calculate the lowest common multiple of (-2)/4 - h/4 and 4*(4/(-4) - 108/(-48)).
20
Find the common denominator of -3 + (-81)/4 - (-2)/(-4) and 20/11.
44
Let y(b) = -2*b**2 - 2*b - 5. Let k(q) = -3*q + 2*q + 7 - q**2 - 8 + 0*q. Let r(u) = -6*k(u) + 2*y(u). Calculate the smallest common multiple of 16 and r(-4).
80
Let h(i) = -i + 1. Suppose 2 = -3*w - 1. Let m be w/(0 + (-2)/(-10)). What is the smallest common multiple of h(m) and 22?
66
Let t = -8170/419 - 1/838. Let i be 17018/(-4) + 2/4. Let a = i - -16933/4. Find the common denominator of t and a.
4
Suppose -2*h = -53 + 17. Calculate the least common multiple of h and 12.
36
Let a = -1/387933 + 5294121655/1551732. Let u = -3436 + a. Calculate the common denominator of (-2)/(-5) - (-452)/(-30) and u.
12
Let z(c) = c + 9. Suppose 4*w = 25 - 1. Calculate the least common multiple of w and z(-7).
6
Let v = -14/59 + 2329/118. Find the common denominator of v and -1/18.
18
Suppose 6*v - 16 = 2*v. Suppose -1 = 3*l - v. Suppose -21 = -f + l. Calculate the least common multiple of 10 and f.
110
Let l(d) = -15*d + 1. What is the least common multiple of 6 and l(-1)?
48
Suppose 2*f = 15 + 1. Let c be ((-4)/(-1))/(-1 - 1). Let w = 16 - c. What is the least common multiple of f and w?
72
Suppose -2*t - 1 - 2 = -3*d, 0 = 3*d + 3*t + 12. What is the common denominator of d and 27/4?
4
Find the common denominator of 114/304 - ((-5)/32)/(-1) and -119/12.
96
Suppose -3*d = 5*w - 2, 3*d + d = -w + 14. Calculate the least common multiple of 20 and d.
20
Let o = 5 - 2. Suppose o*p - 210 = -2*p. Let m = 64 - p. Calculate the smallest common multiple of 12 and m.
132
Let s(l) = 3 - 5*l + l**2 - 1 + 5 - 1. Calculate the lowest common multiple of 8 and s(5).
24
Suppose 3*q - 6 = b, q - 2 = 2*b - 0*b. What is the least common multiple of q and 8?
8
Let o = -192 - -437. What is the common denominator of (o/(-90))/((-1)/(-3)) and -97/4?
12
Let p(y) = -y**2 - 6*y - 5. What is the least common multiple of p(-3) and 15?
60
Suppose 0*f = 3*f - r - 58, -5*f + 4*r = -92. What is the lowest common multiple of 12 and f?
60
Let z = -9 + 18. What is the smallest common multiple of 4 and z?
36
Let r = 28953/10 - 2893. What is the common denominator of ((-1)/(-30))/((-2)/(-188)) and r?
30
Let n = -10251 - -276811/27. Find the common denominator of 73/57 and n.
513
Suppose -2*v - 4*d = -3*v + 2, 0 = -2*v + d + 18. Calculate the lowest common multiple of 10 and v.
10
Let y = -3 - -6. Let h be (1/(-2))/(y/108). Find the common denominator of ((-17)/(-9))/((-3)/h) and 49/8.
24
Let c(n) = n**2 - n + 2. Suppose -32*a - 98 = -39*a. Calculate the least common multiple of c(2) and a.
28
Find the common denominator of 2 - -128*4/(-40) and (-4)/3*3/(-12).
15
Let v be 0 - -4*69/182. Let q = v + -3/13. Calculate the common denominator of q and -2 - -1 - 152/44.
77
Let n = 30/43 + -3981/344. Calculate the common denominator of -47/11 and n.
88
Let f(i) = 3*i**2 + 0*i + 2 + 2*i - 3*i. Let o be f(-4). What is the least common multiple of 6 and o/4*16/12?
18
Suppose -8*b = -6*b - 30. Suppose 5*k - 4*a + 5 = 0, k - 10 = -5*a + 18. Calculate the lowest common multiple of b and k.
15
Let k = -13 - -19. What is the common denominator of -33/2 and 273/k + 1 + -2?
2
Let h(b) = -3*b - 32. What is the least common multiple of 10 and h(-13)?
70
What is the common denominator of 27/20 and (-339)/42 + 3 + -1?
140
Let x(m) = -m**3 - 6*m**2 - 5*m + 7. What is the smallest common multiple of 8 and x(-5)?
56
Suppose -f + 8 = -0*f. Calculate the lowest common multiple of 2 and f.
8
Suppose -t = -0*t - 2. Suppose -u = -t*u + 2. Find the common denominator of 103/22 and ((-79)/(-2))/(u - -1).
66
Suppose 24 = 2*l - 5*l. Let n = l + 10. Suppose -3*z - 2*z + 90 = 0. What is the least common multiple of z and n?
18
Let g = 4312 + -43033/10. Let n be (22/28)/((-1)/(-3370)). Let d = 2653 - n. Find the common denominator of g and d.
70
Let n be 2/4 + (-3)/6. Suppose g = -2 - n. Calculate the least common multiple of ((-6)/(-9))/(g/(-18)) and 8.
24
Let z(q) = q**2 - 1. Let t(n) = 5*n**2 - 13*n - 8. Let y(r) = t(r) - 6*z(r). Let b be y(-8). Find the common denominator of -36/5 and b/4*(1 + 0).
10
Calculate the lowest common multiple of (-5)/(-1) - (-36)/(-9) and 11.
11
Suppose 40 = 8*b - 200. Calculate the least common multiple of b and 4.
60
Let k(v) = v**3 - 7*v**2 - 5*v - 6. Let q be k(8). Suppose 5*j = 8*j - q. Calculate the lowest common multiple of j and 12.
12
Let s(z) = -z**3 - 3*z**2. What is the least common multiple of 32 and s(-4)?
32
Suppose -2*x = -x - 60. Suppose -2*p + 3*j - 30 = -7*p, x = 5*p - 3*j. What is the lowest common multiple of (-2 + (-5)/(-2))*18 and p?
9
Let r = 4 + -3. Suppose 13 + 5 = 5*y + 2*x, -y - 3*x = -r. What is the lowest common multiple of 10 and y?
20
What is the lowest common multiple of (3 - 2)/2*16 and 1?
8
Suppose 5*r = 3*w - 1025, -5*w + 2*r = -r - 1719. Find the common denominator of (-4 - w/(-48)) + 0 and 302/(-24) + 4/12.
16
Let w(y) = y**3 + 3*y**2 - y - 2. Let g be w(-4). What is the smallest common multiple of 12 and (-8)/g*7/2?
12
Let c(d) = -26*d**3 - 3*d**2 - 2*d - 2. Let o be c(3). Let r be -1 + 0 - 14606/(-20). Let v = o + r. Calculate the common denominator of v and -69/20.
20
What is the common denominator of 4/(-6) - 412/120 and 10/9?
90
Let c(w) = 3*w + 4 - 2 - w. What is the least common multiple of c(3) and 12?
24
Find the common denominator of (-27)/8*10/(-30) and 27/5.
40
Let p(a) = 8*a - 4. Let b be p(3). Suppose -4*r - r = -b. Calculate the least common multiple of 1 and r.
4
Suppose 2*l = l + b + 2, 3*l - 6 = -5*b. Let y be (-45)/(-27) - (-1)/3. Suppose d + 2 = -d, y*j - 3 = -5*d. What is the least common multiple of l and j?
4
What is the common denominator of -13/4 and (3 + (-26)/3)*12/32?
8
Let z = -4198 - -100627/24. Calculate the common denominator of -31/4 and z.
24
Let h be (-1)/2 + 70/20. Calculate the least common multiple of (-209)/(-33) + (-1)/h and 10 - 2 - (1 - -1).
6
Let w = -27 - -75. Let h = -2 - -6. What is the common denominator of (12/h)/(1 + 1) and w?
2
Calculate the common denominator of (-90)/(-6) - 6/4 and 113/6.
6
Let j(f) = -f**3 + f**2 + 2*f - 5. Let r be j(-4). Let t = r - 45. Calculate the smallest common multiple of t and 18.
198
Let a(n) = -2*n - 11. Let k be a(8). Let v = k - -45. Calculate the common denominator of (-37)/v*2 + 1 and -117/10.
90
Let l = 3/4711 - -27837/673673. Let q = l + 670/143. Calculate the common denominator of q and ((-1)/(-3))/(2/(-174)).
11
Suppose 0 = w, 2*x - 3*w - 2 = 3*x. Let u be (2454/(-10))/(x/(-5)). Let l = u + 578. What is the common denominator of -67/22 and l?
22
Let r(n) = -2*n - 6. Suppose 0*y = -3*d - y + 7, d - 3*y + 1 = 0. What is the lowest common multiple of r(-7) and d?
8
Let y = 2/9993 - 729497/39972. What is the common denominator of 13/8 and y?
8
What is the lowest common multiple of 3 and (1 + -25)*(14/(-8) - 0)?
42
Calculate the lowest common multiple of 22 and 3 + 36/(-16) + 762/8.
1056
Suppose 0 = -y + 4 - 0. Let h(a) = -a**3 - 5*a**2 + 6. Let g be h(-