the common denominator of 65/6 and (4 - 1) + (-67)/m.
12
Let q(z) = -1 + z**2 - 4*z + 0*z + z**2. Let w be q(3). What is the smallest common multiple of 16 and 48/w - 2/(-5)?
80
Suppose -5*k = -18 - 12. What is the common denominator of -89/14 and (k/(-40))/(216/7980)?
168
Let i = -1271 - -40677/32. Calculate the common denominator of -59/8 and i.
32
Let w be (0 - -5)*-3*1. Let m = 3 - w. What is the least common multiple of m and 20?
180
Let u = 5171/8 - 655. Let m be (-11)/((-170)/(-56) + -3). What is the common denominator of u and (m/20)/(8/(-5))?
8
Calculate the common denominator of 62/33 and (-11)/4*(-34)/(-15).
330
Let i = 3/923 + -15757/20306. Calculate the common denominator of 0 + -110*4/(-48) and i.
66
Let a(c) = -c**2 + 4*c + 4. What is the lowest common multiple of a(4) and 172/14 + 8/(-28)?
12
Suppose -64 = -4*h - 28. What is the least common multiple of 3 and h?
9
Let g(k) = 26*k**3 - 2*k**2 + 3*k - 2. Let d be g(1). Suppose 5*x + d = 80. Calculate the lowest common multiple of 9 and x.
99
Let j = 182/11 - 3143/176. What is the common denominator of j and -19/2?
16
Calculate the lowest common multiple of 5 and (-1)/((-3)/((-42)/(-2))).
35
Suppose 5*a = -5*m + 15, -2*m + 3 = a - 4. Let j = 2 + a. What is the lowest common multiple of 4 and (-1 + 1 - j)*-3?
12
Suppose -n = b + 2*n - 35, 4*b - 5*n - 55 = 0. What is the lowest common multiple of b and 55?
220
Let y = -73/10 + 637/40. Calculate the common denominator of 0/(-2) + (-101)/(-2) and y.
8
Let z = -12415/8 - -1548. Find the common denominator of -3/14 and z.
56
Suppose 0 = -7*d + 6*d + 1. Suppose 0*p + 3*r + d = p, 2*p = 2*r + 6. Calculate the lowest common multiple of 4 and (p + -5)/(1/(-22)).
44
Calculate the common denominator of (-1)/2 - (-52)/5 and -23/34.
170
Let t(q) = -2*q**3 + 6*q**2 + 7*q + 7. Let w(a) = 3*a**3 - 6*a**2 - 7*a - 8. Let p(k) = 4*t(k) + 3*w(k). Calculate the least common multiple of p(-4) and 6.
24
What is the common denominator of -33/4 and 31/22 - (24 + -21)?
44
Suppose -y + 2*q = -5*y + 114, 5*q + 1 = y. What is the smallest common multiple of y and 16?
208
Let o(k) = k**3 + 6*k**2 + 6*k - 5. Let d be o(-5). Let s = 3310 + -29822/9. What is the common denominator of ((-2)/d)/(12/(-10)) and s?
18
Let l(t) be the third derivative of 1/60*t**5 + 0*t**3 + 0*t + 0 + 1/12*t**4 - 2*t**2. What is the lowest common multiple of 4 and l(2)?
8
Let p = 4 - -2. Let j(c) = c - 5. Calculate the smallest common multiple of p and j(8).
6
Suppose -4*n + 5 = n. Suppose -5*w - n = -31. What is the least common multiple of 8 and (-2)/(4/(-2))*w?
24
Let x = -507/5 - -3671/40. Let r be ((-35419)/6)/(7 - 6). Let v = r + 5890. Find the common denominator of v and x.
24
Let w(b) = -b - 9. Let z be w(-7). Let m be 2 - (z + -21)/(-1). Let t = -9 - m. Calculate the smallest common multiple of 2 and t.
12
Suppose 0 = 5*n - 30. Let t = -4 + n. Calculate the common denominator of (t/8)/((-3)/286) and -39/4.
12
Let x(h) = h - 3. Let r be x(-17). Let w = -12 - r. What is the smallest common multiple of w and 10?
40
Suppose -19 = 2*h + 5*u, -3*h - u - 3 = -7. Calculate the smallest common multiple of h and 8.
24
Suppose 25 = 5*d, 0*p - 2*p = -3*d + 5. Calculate the smallest common multiple of p and 20*-1*1/(-2).
10
Suppose 39 + 41 = 5*q. Suppose 0*y - 3*w = y - 27, -4*w + 12 = 0. Calculate the lowest common multiple of y and q.
144
Let t = -2811/4 - -719. Find the common denominator of -5/12 and t.
12
Let b(f) = f**3 - 7*f**2 - 9*f - 3. Let o(l) = 8*l**2 + l + 1. Let u be o(-1). Find the common denominator of b(u) and -52/11.
11
Suppose 45 = -t + 4*t - 3*h, 0 = 3*h + 9. Suppose 4*j - t = -0*j. What is the lowest common multiple of j and 5?
15
Suppose -3*j = -3, 0 = 5*a - 0*a - 4*j - 1. Suppose -d + a = -4. Let o(p) = p + 16. What is the smallest common multiple of d and o(-6)?
10
Calculate the common denominator of -3 - -1 - 114/(-8) and (2/(-3))/((-16)/18).
4
Suppose g = -3*w + 17, -5*g - 2*w + 29 = -w. Suppose 32 = g*f + 2*a - 6*a, 10 = f - 2*a. What is the least common multiple of (-11 + 8)*-1*1 and f?
12
Let d be ((-1)/4*-1)/((-790)/68). Let j = -636424227 - -2765263279059/4345. Let l = j - d. Find the common denominator of l and 55/14.
154
Suppose 2*l + 8 = 0, 5*l + 18 = 5*p + 3*l. Calculate the lowest common multiple of p and 7.
14
Let w(f) = f**2 - 2*f - 1. Let c be w(3). Suppose c*b - 27 = -3. What is the least common multiple of b and 2?
12
Let u = -837 + 4883/6. Let q = -2002 - -8071/4. Calculate the common denominator of q and u.
12
Calculate the lowest common multiple of 2 and (45/(-6))/(18/(-24)).
10
Let o(y) = 9*y - 1. Let n be (6/(-6))/((-1)/57). Let g = -41 + n. What is the lowest common multiple of o(1) and g?
16
Suppose -5*k + 4*k = -1. Let q(a) = -387*a**2 - a. Let s be q(k). Find the common denominator of -151/6 and 2/11 + s/198.
18
Let v = 19 - 16. Calculate the least common multiple of 1 + -3 + v + 0 and 9.
9
Suppose -30 = 3*x - 6*x. What is the least common multiple of x and 20?
20
Calculate the smallest common multiple of (-7)/(-63) + 520/18 and 8.
232
Let l(b) = 37*b + 1. Let x be l(-1). What is the lowest common multiple of 2 and 8/x + (-40)/(-18)?
2
Suppose -h - 5*k + 33 = 0, 4*h - k = h + 19. What is the smallest common multiple of h and 14?
56
Let d be (-26)/(-24)*9*-267. Let k = -2618 - d. Calculate the common denominator of 153/24 - (-1)/(-2) and k.
8
Let h(d) = d**2 + 5. Let b be h(0). Suppose z + 0*z + b = -2*f, 3*z - 9 = 2*f. Calculate the smallest common multiple of z and 4.
4
Let m(d) = d**2 + 5*d + 2. Let a be m(-4). What is the common denominator of (-1341)/(-60) - 4/(-10) and (a/(-4))/((-16)/(-100))?
8
Let v = 55 - 46. Let g(i) = 2*i**2 + 3*i + 2. Calculate the smallest common multiple of g(-3) and v.
99
Suppose 5*l = -1 + 11. What is the common denominator of (-15)/(-11)*(-18)/(-5) and l/(-8) - 306/56?
77
Let t(k) = k + 9. Let b be t(-5). Let r = 14 - b. Suppose -z + 9*z = 16. What is the smallest common multiple of r and z?
10
What is the common denominator of 72/(-27)*15/(-2) and 3/14?
14
Suppose k = 2*v - 0 + 3, 3*k + 2*v = 1. What is the smallest common multiple of k and 6?
6
What is the common denominator of (-537)/90 + (-3)/9 and -111/10?
10
Suppose -5*z - w = -24, 4*w - 1 = 5*z - 5. Let i = -6 - -20. Calculate the least common multiple of (-4)/i - (-27)/21 and z.
4
Let r(p) = -2*p**3 - 6*p**2 - 3*p + 3. Let t be r(-5). Suppose n = 6*n + 4*b - t, -n = 2*b - 26. Find the common denominator of n and -23/6.
6
Find the common denominator of (402/8)/((-6)/4) and (-5)/(-2)*(-3)/5.
2
Let b(g) = g**2 + 14*g + 20. Let y(z) = z**3 + 9*z**2 + 10*z + 2. Let j be y(-8). Calculate the smallest common multiple of 6 and b(j).
60
Let d(j) = -j**2 - 14*j - 18. What is the lowest common multiple of 26 and d(-12)?
78
Suppose -4 = p - 3*n, -n = -1 - 3. Let j = -11 + 17. What is the smallest common multiple of p and j?
24
Let v(y) = y**2 - 7*y - 6. Let m(g) = 3*g**2 - 2*g. Let u be m(2). Let z be v(u). Suppose 7*p - 40 = z*p. Calculate the lowest common multiple of 2 and p.
8
Let m = -22625/4814 - 2/12035. Let h = -12981/14 + 924. What is the common denominator of m and h?
70
Let m = -19 + 21. What is the least common multiple of m and 18?
18
Let j be -3 - (0 + 0) - 1. Calculate the smallest common multiple of (6/(-2))/(-3) - j and 7.
35
Suppose -7*n + 45 = -2*n. Let r be 40/(-22) + (-4)/22. Calculate the smallest common multiple of 3*(r - (-8)/3) and n.
18
Let t = -5670 - -124779/22. Let v = 7971 + -79629/10. What is the common denominator of t and v?
110
Let g = -1/1401 - 13541/2802. What is the common denominator of g and (76/(-10))/(3/(-10))?
6
Let g = 8 + -3. Suppose i = 4*z - 16, 4*z - 3*i = -4*i + 24. Let q = 0 + z. Calculate the least common multiple of g and q.
5
Let y = 210 + -190. What is the lowest common multiple of y and 108?
540
Let t be 5/((-300)/901497) + 2. Let w = t + 15019. Calculate the common denominator of w and -99/10.
20
Calculate the smallest common multiple of 10 and (-9)/(-4) - 1/4.
10
Let d = -35 + 47. What is the lowest common multiple of 33 and d?
132
Let i = 99655/18 - 5542. Find the common denominator of i and -15/4.
36
Suppose 0 = -k - 2*k + 12. Calculate the common denominator of 85/22 and 355/70 - k/(-2).
154
What is 