 3. Let o be f(-8). Suppose 34 = -5*m + 4*d - 1, 5*m + o*d = 0. Find the common denominator of m + 0 - 89/(-14) and -31/16.
112
Let o(t) = 2*t - 2*t - 2*t**2 + t**2 - 2 - 3*t - 22*t**3. What is the least common multiple of 28 and o(-1)?
308
Suppose -5*n + 157 = -3. What is the common denominator of 50*-1*12/n and -68/15?
60
Let q = 9 - 7. What is the lowest common multiple of 11 and q?
22
Let b(n) be the third derivative of n**5/60 - 5*n**4/24 + n**3/3 - 4*n**2. Calculate the least common multiple of b(6) and 22.
88
Suppose 3*u = 5*v - 94, -v - v = 3*u - 25. Let i(j) = -j**2 - 5*j + 5. Let x be i(-5). Suppose -d + x = -v. What is the lowest common multiple of d and 8?
88
Suppose 3*g = 9 + 12. Let v(d) = 2*d + 2. What is the lowest common multiple of g + -9 + -1 + 10 and v(3)?
56
Let m = -22044 + 396677/18. Let d be 1*0*(-4)/8. Find the common denominator of m and ((-9)/(-22) - d)*1.
198
Find the common denominator of -17/12 and (-898)/364 - (-51)/119.
156
Let w = -3582 + 21443/6. Find the common denominator of 31/9 and w.
18
Suppose -20*h + 25*h = -45. Suppose 0 = 4*s - 0*s - 48. Let k = h + s. Calculate the smallest common multiple of k and 9.
9
Let y = -10 - -19. Calculate the common denominator of -57/7 and y/3 + (-2)/6.
21
What is the least common multiple of 10/1 + (-10)/(-5) and 20?
60
Let w(n) = -4 - 5*n**2 + 8*n - 4 + 4*n**2. Let y be w(6). Calculate the common denominator of (286/24)/(y/8) and -37/20.
60
What is the lowest common multiple of 22 and (-280)/(-24) + 1/3?
132
Suppose -11*i + 5*i + 60 = 0. Let p(a) = -a - 21. Let k be p(0). Let d = -15 - k. What is the lowest common multiple of i and d?
30
Suppose -5*a - 19 = 11. Let o(d) = d**3 + 5*d**2 - 6*d + 2. What is the smallest common multiple of 22 and o(a)?
22
Let b = 2/464943 + -254323897/17667834. Let t = b + -192/19. Calculate the common denominator of t and -47/14.
14
Calculate the common denominator of -1*4 + (-1633)/92 and -73/6.
12
Calculate the least common multiple of ((-3)/2)/(24/(-128)) and 22.
88
Let u = -9 + 3. What is the common denominator of u/(-18)*(-498)/28 and -61/22?
154
What is the common denominator of 20/(-12)*10/2 and 49/5?
15
Let u = -97/3 + 11. Suppose -j + 2 = 0, b + j = -3*j + 48. Calculate the common denominator of u and b.
3
What is the smallest common multiple of 3/(-9) + (-112)/(-12) and 4?
36
What is the smallest common multiple of 14 + 3 + -3 - 2 and 36?
36
Let q(b) = -1 - 10*b**2 - 5*b**3 + 6*b**3 - 3*b - 7*b. Suppose 5*i = 4*h - 0*i - 24, 0 = -2*h - 2*i + 30. Calculate the lowest common multiple of 3 and q(h).
30
Suppose -4*n + 20 = -4. Let z be (-1)/(45/(-100) + (-2)/(-10)). Let h = n - z. What is the least common multiple of 10 and h?
10
Calculate the smallest common multiple of 8 and (-1 - (-28)/36)*-9.
8
Suppose 2*q = x - 0*q + 29, 0 = -x - 2*q - 41. What is the lowest common multiple of (-5)/(15/6) + 9 and ((-30)/x)/((-2)/(-14))?
42
Let p = -15/427 + 10121/8540. What is the common denominator of -57/20 and p?
20
Let m(z) = 0*z - 15 + 3*z**2 - 4*z**2 - 7*z + 6. Calculate the least common multiple of ((-1)/(-2))/((-2)/(-4)) and m(-4).
3
Let j be ((-27053)/(-6))/(12/(-9)). Let q = 3390 + j. What is the common denominator of 5/8 and q?
8
Suppose 3*w + o - 4 = -0*w, w - o = 0. Let q(v) = 16*v**2 - v + 1. Calculate the least common multiple of 14 and q(w).
112
What is the common denominator of 71/22 and (1 - -1)*67/8?
44
Suppose -5*h + 120 = -4*p - 0*p, -4*h = -4*p - 100. Calculate the smallest common multiple of h and 7.
140
Suppose 0 = -v + 2*z - 7433, -3*v + v - 3*z = 14880. Let c = v - -104161/14. Let u = -37051/19356 - 4/1613. Calculate the common denominator of u and c.
84
Suppose 4*p + 4*n + 4564 = 780, -4*n = -2*p - 1916. Let x = p + 464. Find the common denominator of 111/10 and (-1)/(-2) - x/60.
10
Calculate the common denominator of 73/10 and ((-55)/75)/1 + 2/(-3).
10
Calculate the common denominator of 41/16 and 190/440 + (-4)/(-4).
176
Let x(v) = -2*v + 4. Calculate the lowest common multiple of 12 and x(-6).
48
Calculate the common denominator of -33/2 and (-12)/(-80)*-74 + -4 + 3.
10
Suppose 2*w - 3*j - 72 = 0, 5*w - 4*j - 206 = -3*j. Calculate the smallest common multiple of w and 22.
462
Suppose v = -v + 16. What is the smallest common multiple of 20 and v?
40
Let k(t) = -t**3 - 3*t + 10. Calculate the least common multiple of k(0) and 8.
40
Let k = 42 - 2. Suppose 2*p - z - 77 = -4*z, -p - 2*z + k = 0. What is the lowest common multiple of 12 and p?
204
Let y = 5 + -1. Suppose -47 = -y*z - 11. Calculate the smallest common multiple of 4 and z.
36
Let w be 2 + (37 - 2*-1). Let q be (3201/(-2))/(-1 - w). Let o = -17/28 + q. Calculate the common denominator of o and 81/8.
8
Let a = 17965/12 - 1493. Let f = 24301/1340 + -870/67. What is the common denominator of f and a?
60
Calculate the common denominator of 16/7 and -2 - -5 - 3/((-270)/(-136)).
315
Calculate the lowest common multiple of 12 and 88/(-55)*(-10)/1.
48
Let a = -237 - -4066/17. Find the common denominator of a and (134/12)/(51/(-34)).
153
Let s = 533 - 1619/3. What is the common denominator of -59/4 and s?
12
Suppose -3*s + 3*y = -33, 3*s - 2*y = 9 + 21. Let b be s/6*(-387)/3. Let c = -1475/9 - b. Calculate the common denominator of c and 5/7.
63
Suppose -37 + 21 = -g. What is the smallest common multiple of 14 and g?
112
Let d be (-14)/(-7) - (-27996)/(-13997). Let o = 769799/251946 - d. Find the common denominator of o and -103/12.
36
Let o = 40 - 31. Calculate the smallest common multiple of o and 3.
9
Let s = 902046 + -7207387/8. Let y = s - 1118. Calculate the common denominator of y and -43/22.
88
Let j = 10 + 4. Let w = 25 - 23. Calculate the lowest common multiple of w and j.
14
Suppose 5 = -5*r - 3*w + 19, 14 = 3*r - w. What is the lowest common multiple of r and 2?
4
Let d = 809/47 - -315827/282. Let a be 2269/2 + 3/(-6). Let f = d - a. What is the common denominator of f and 13/2?
6
Let v(u) = -3*u**2 - 4*u - 3. Let o be v(-2). Let a = o + 16. Calculate the common denominator of -101/4 and (-3)/a + 226/36.
36
Let a = -2430919/2750 - 1871/250. Let m = a + 894. What is the common denominator of m and 25/17?
187
Suppose -8*o = -4*o + 20. Calculate the common denominator of 10/(-4)*o/(-3) and -1*(174/(-4) + 0).
6
Let f(l) be the first derivative of l**2 + 2*l + 1. What is the least common multiple of f(5) and ((-33)/22)/((-3)/20)?
60
Let l be ((-4 - -2) + 2)/1. Suppose l*o - 16 = -2*j + 4*o, 2*j = o + 16. Calculate the smallest common multiple of 20 and j.
40
Let w(g) = 5 - 4 + 6*g - 5. Calculate the lowest common multiple of w(3) and 8.
56
Let j = 4 - 4. Suppose -5*i = -2*m + 4, 0 = 2*m - j*i + 2*i - 4. Suppose -5*v - a + 81 = 0, 2*v + m*a = a + 33. What is the lowest common multiple of 10 and v?
80
Let s = -21 - -56. What is the least common multiple of 25 and s?
175
Let k(o) = o**3 - o - 2. Let i be k(0). Find the common denominator of 2/6 - (-174)/9 and i/2 + (-64)/10.
15
Suppose -1 = -t + y - 2, y = -2*t + 13. What is the least common multiple of t and 9?
36
Let u = 731/2 + -330. Suppose -65*f + 60*f = -215. Find the common denominator of u and f.
2
Find the common denominator of -17/9 and (-148)/39 - (-13 + 9).
117
Let b be (3/(-4))/((-2)/8). Calculate the lowest common multiple of (b - 9/5)*10 and 6.
12
Suppose 5*a - u = 21894, 2*a - 21897 = -3*a - 2*u. Let k = a - 26197/6. Find the common denominator of k and ((-31)/(-33))/((-2)/(-6)).
66
Let g = 31459/8 + -3938. Find the common denominator of 145/18 and g.
72
Let z be 7*(108/21)/3. Let y be (-15 - 1)*(-6)/z. Suppose y*n - 7*n = 7. What is the lowest common multiple of 7 and n?
7
Let d be -5 + 6 + 2/(-1). Find the common denominator of 29/18 and (-37)/(-36) - d/4.
18
Suppose 5*m - 3*f - 79 = f, m = -2*f + 13. Calculate the lowest common multiple of 10/(-4)*(-12)/m and ((-2)/(-6) - 1)*-9.
6
Let x(w) be the first derivative of -w**3/3 + 4*w**2 + 11*w + 3. Let p = -14 - -23. Calculate the lowest common multiple of 8 and x(p).
8
Let u = -12 - -18. Let l be (0 + -1)*(-23 + 1). Suppose l = 4*r - 2*r. What is the lowest common multiple of u and r?
66
Suppose 3*a + 9 = -3*h - 9, 0 = -h - 3*a - 6. Suppose -z + 5*z + 39 = 5*u, -4*u + 3*z + 32 = 0. Calculate the smallest common multiple of 1*8 - (h + 3) and u