
Let z(o) = -o**2 + o + 3. Let c(u) = -u**2 + 5*u. Let w be c(5). What is the least common multiple of z(w) and 9?
9
Let t = -537023/28 - -19183. Find the common denominator of t and 27/4.
28
Let m = 5030633 - 60333071/12. Let g = m - 2884. Find the common denominator of g and -63/4.
12
Let d = -9/5 + 5. Let t = -1781/30 - -226/5. Calculate the common denominator of t and d.
30
Let v = 92 - 81. Let a(h) = -h**3 + h**2 + 2. What is the least common multiple of v and a(0)?
22
Let z = 17 - 13. What is the common denominator of (-4 - (-18)/z) + -1 and -123/10?
10
Suppose -4*d - 5*i + 0 - 11 = 0, -2 = -2*i. Let f be 2/d*(-1 + -9). Suppose 0*c + f*c = 40. Calculate the smallest common multiple of 4 and c.
8
Let j(s) = s**2 - 3*s + 4. Let o be j(3). What is the smallest common multiple of 6 and (-2)/o + 125/10?
12
Let b = 199/114 + 84/19. Let s = -17/162 - 3157/405. Find the common denominator of s and b.
30
Suppose 1 = d - 2. Suppose 2*u - 3*u + 16 = 4*o, -d*u + 32 = 4*o. Calculate the lowest common multiple of u and 9.
72
Let s(k) = 4*k + 90. What is the least common multiple of s(-18) and 2?
18
Let w(r) = -r**2 + 3*r. Let y be w(4). Calculate the common denominator of y/3*(-95)/(-30) and (-782)/(-140) - (-6)/(-21).
90
Let p = -1401 + 961. Suppose 0 = -4*z + 6 + 10. Calculate the smallest common multiple of p/(-30) + (-4)/6 and z.
28
Find the common denominator of -89/14 and 45/100 + (-12)/(-15).
28
Let m be ((-29)/(-9))/((-3)/327). Let s = 353 + m. Find the common denominator of 38/(-176) - 7/(-56) and s.
99
Let p be 12/((132/27)/4). Let t = p + 213/22. What is the common denominator of 93/10 and t?
10
Let c(d) = -15*d - 3. Let h be c(-6). Suppose -123 - h = 2*t. Find the common denominator of t/6 - 2 - -1 and 1/6.
6
Let q(h) = -h**3 + 7*h**2 - 5*h - 4. Calculate the lowest common multiple of q(6) and 5.
10
Suppose 5*r - 6 = 2*r. Let g = 5 + -1. What is the lowest common multiple of g and r?
4
Suppose -g + 8 = 3*n - n, 0 = -3*g + 4*n - 16. Suppose -4*t = -4*c + 1 - 29, g = 3*c. Calculate the lowest common multiple of t and 10.
70
Let h = 1/1284 - -26639/5136. What is the common denominator of h and 19/20?
80
Let p = 34 - -26. What is the common denominator of (-375)/p + 3/1 and -25/16?
16
Suppose -9 = 5*q - 2*q. Calculate the common denominator of 139/24 and 4/((-48)/(-43)) + q.
24
Let f(n) = n + 8. Let i be f(-6). Let a(r) = -4*r + r**3 - i + 3*r**2 + 4*r. Calculate the smallest common multiple of 8 and a(-2).
8
Let x(z) = 3*z**2 - 4*z**2 - 3*z + z**2 + 4*z**2. Calculate the least common multiple of 2/(-2 + (-10)/(-4)) and x(2).
20
Let t be -2*2*8/(-2). Let w = t + -10. What is the least common multiple of 10 and w?
30
Let g be (-3 - 4004/8)*2. Let s = -8073/8 - g. Find the common denominator of 119/6 and s.
24
Calculate the common denominator of (-3983)/(-504) + 4/(-54)*-3 and -29/4.
8
Let a(t) = -2*t**2 + 10*t + 11. Let w(d) = d**2 - 10*d - 10. Let f(z) = -2*a(z) - 3*w(z). Calculate the lowest common multiple of f(-10) and 12.
24
Suppose -2*d - 2 = -0*d. Let x be ((-6)/d)/(2/5). Let f = 29 - x. What is the smallest common multiple of 16 and f?
112
Let y = -2322 + 25501/11. What is the common denominator of y and 58/9?
99
Suppose -11 = -3*f - 4*b, 0*f + 18 = 3*f - 3*b. Find the common denominator of f + -4 - (-45)/(-14) and 81/8.
56
Let y(z) = -48*z**3 - z**2 + 1. Let f be y(1). Calculate the common denominator of 3*(-178)/f - 0 and 63/8.
8
Let w be 64/40 + (-2)/(-5). What is the common denominator of 1/3 + 745/150 and (-28)/(-5) - -2 - w?
10
Let v = 13/70 - 1354/35. Let x = -17623/5742 - 102/319. Calculate the common denominator of x and v.
18
Let k(d) = 29*d - 22. Calculate the lowest common multiple of k(6) and 20.
760
Let v(j) = -j**2 - 8*j + 3. Let a be (64/(-24))/(1/3). What is the least common multiple of v(a) and 4?
12
Let v(y) = -6*y + 36. Let q(t) = t - 5. Let a(k) = 15*q(k) + 2*v(k). Let h be a(3). What is the smallest common multiple of ((-12)/(-5))/(h/20) and 9?
72
Let q = -6 - -9. Let k(f) = 2 + 2 - 4*f**3 - 2*f**2 + f + 3*f**q. Calculate the lowest common multiple of 4 and k(-3).
20
Let d(z) = z**3 + 18*z**2 - 22*z - 45. What is the smallest common multiple of 366 and d(-19)?
732
Let h = -283/76 - 10/19. Suppose 5*x = 3*d - 459, -6*d + d = -x - 787. Find the common denominator of h and -1*d/(-48)*-2.
12
Suppose i - 4*i = 0. Let w be i - (0 + (-2 - 0)). Let z = 3 - w. Calculate the least common multiple of z and 8.
8
Suppose 0 = -2*x + 5*x - 12. What is the least common multiple of x and 3?
12
Let o(y) = -4*y + 4. Let l(x) = -x - 5. Let a be l(-11). Let h(k) = k**2 - 4*k. Calculate the lowest common multiple of o(-4) and h(a).
60
Let w(c) = 22*c**2 + 4*c + 4. Let v be w(-3). What is the common denominator of (-18)/(-4)*26/10 and -6*1*v/(-140)?
70
Suppose -3 + 7 = i. Suppose 2*y + i = 4*y. Calculate the lowest common multiple of y and (-260)/(-12) - 3/(-9).
22
Suppose 2*q = -q + 5*m + 18, -2*q - 4*m = 10. Calculate the smallest common multiple of (4 - -1)/(q/2) and 5.
10
Let k = 56 + -615/11. Find the common denominator of k and 69/2.
22
Suppose 3*c - 8 = 10. Suppose 30 = 4*x + 2*s, -3*x + 8 = -4*s + 2. Calculate the lowest common multiple of x and c.
6
Suppose 0 = -3*q + 3*k + 18, -4*q - 14*k + 15*k + 24 = 0. Let t = 12 + -3. Calculate the least common multiple of t and q.
18
Let i = 161/242 + 24/121. What is the common denominator of (2/(-24))/((-2)/(-111)) and i?
88
Suppose -4*i + 24 = 2*j, j = 3*i - 7 + 34. Calculate the least common multiple of 14 and j.
126
Let w(m) be the third derivative of m**6/60 + m**5/60 - m**4/24 + 2*m**2. Let r(p) = 2*p**2 + 6*p + 4. What is the lowest common multiple of r(-4) and w(2)?
36
Suppose -9*a + 113 = 32. Suppose 9 = 3*u + 4*w - 2, 2*u - 5*w = -8. Let m(o) = 9*o**3 + 2*o**2 - 2*o + 1. Calculate the smallest common multiple of m(u) and a.
90
Let n be (5 - 3)/(2/2). Let m(c) = 8*c + 2. Calculate the smallest common multiple of m(n) and 20.
180
Let o = -1 + 9. Calculate the common denominator of (-71)/2*2/4 and ((-39)/o)/((-7)/(-4)).
28
Suppose -2*n + 5*y - 21 = 0, -3*n = 4*y + y - 31. What is the smallest common multiple of 10 and 13/3 - n/6?
20
Let v = 59 - 41. What is the lowest common multiple of 2 and v?
18
Suppose 2*y - 24 = -y. Let i(j) = 7*j**2 + 3*j + 2. Calculate the least common multiple of y and i(-1).
24
Suppose r = -r + 116. Suppose 27 = -2*f + 4*z - 5, -5*f = z + r. What is the common denominator of (-40)/f*(-57)/8 and -52/11?
44
Let v(f) = f**2 + 6*f + 7. Calculate the smallest common multiple of 32 and v(-5).
32
Suppose 8*f - 15*f + 14 = 0. What is the smallest common multiple of f and 20?
20
Let l(v) = -v**3 + 10*v**2 - 9*v + 11. Let q be l(9). Let r = -3654/1415 + -5/283. Calculate the common denominator of (-68)/q + -2 + 5 and r.
55
Suppose -6*k + 5*k - 25 = 3*w, 2*w + 26 = -k. Let n = -18 - k. Let y = 25 + -13. Calculate the least common multiple of y and n.
60
Suppose 125 = -x + 4*k - 5*k, -4*x - 2*k - 506 = 0. What is the common denominator of (28/(-10))/(x/(-280)) and 25/4?
8
Let k be ((-9)/6 + 2)*4. Find the common denominator of 4/14 + (-373)/(-140) and k/(-16)*(-736)/24.
60
Let j = 11 - 5. Find the common denominator of -8 + 5 + 163/j and -53/18.
18
Let k = -12006 + 264185/22. Find the common denominator of k and 57/14.
154
Suppose 0 = 3*z - k - 38, z - 4*z = 5*k - 26. Let c = 23 + -9. Suppose -c = -l - 4. What is the least common multiple of l and z?
60
What is the common denominator of -15/58 and (-12)/36*(-222)/40?
580
Let a(t) = -t + 12. Let k(u) = u**2 - 1. Let o be k(-1). Suppose -3*h + 36 = -0. What is the least common multiple of a(o) and h?
12
Let c = 235 - 1403/6. Calculate the common denominator of c and -2/3.
6
Suppose 10*j - 33 = 7*j. Calculate the smallest common multiple of 10 and j.
110
Calculate the smallest common multiple of 6 and 6/4*-2 - -11.
24
Let k(n) = -3*n + 7. Suppose 3*t + 11 = -2*l + l, -t + 18 = -4*l. Let q(z) = -3*z + 2. What is the least common multiple of q(-4) and k(l)?
154
Let y(h) = h**2 - 6*h + 3. Let s be y(6). Suppose 0 = s*x - 4*x - 4. Find the common denominator of 3 + x - 102/28 and 85/12.
84
Let n(z) = -3*z**2 - z. Let r be n(-2). Let w = 20 + r. Calculate the lowest common multiple of w and 18.
90
Suppose 3*j - 1 = 8, 0 =