3.
4
Calculate the common denominator of -1 - -5*(-2)/(-16) and (-291)/30 - (-4)/(-10).
40
Let j(c) = -c**3 - 5*c**2 - 2*c + 2. Suppose -7*r + 2*r - 115 = 0. Let f = r - -33. What is the smallest common multiple of j(-5) and f?
60
Let i be -2*3/(-6)*4. Let h be (-2 + -3)*(-36)/15. Suppose -i*x = 2*o - 0*x, 4*o - 4*x = h. What is the lowest common multiple of o and 18?
18
Let z(m) be the third derivative of m**6/120 - 7*m**5/60 - m**4/3 + m**3 + m**2. What is the smallest common multiple of z(8) and 5?
30
Let d = 176 - 2771/16. What is the common denominator of 111/20 and d?
80
Let i = 957 - 5755/6. What is the common denominator of ((-9)/(-2))/((-6)/40) and i?
6
Let p = -162 - 5. What is the common denominator of (-297)/(-75)*(-10)/(-4) and p/6 + (-2)/(-6)?
10
Let h = 42/5141 + -57749105/30846. Let x = -1866 - h. Find the common denominator of x and 41/9.
18
What is the smallest common multiple of 2 and (3 - (-1)/(-1)) + (-40)/(-8)?
14
Let o = -5850175/96 + 60938. Calculate the common denominator of -61/33 and o.
1056
Suppose m - 3*m = -54. What is the common denominator of (-4)/5*(-310)/(-12) and -3 + 0 + 213/m?
9
Let b = -22/71 + -3626/213. Find the common denominator of -1/4 and b.
12
Let j(f) = -f + 12. Calculate the lowest common multiple of j(5) and (2*2/(-4))/(-1).
7
Suppose -2 + 42 = 4*a. What is the lowest common multiple of 6 and a?
30
Let h(f) = f**2 - 7*f + 7. Suppose -b + 3 = -2. Suppose 4*z - 2*t - 22 = 12, 2*z + b*t = -1. What is the least common multiple of 9 and h(z)?
63
Suppose 0 = -u - u + 4. Suppose 2*j + u*y = 46, -y + 6*y = 3*j - 29. What is the least common multiple of 10 and j?
90
Let g = 2 - -2. Suppose -s + 4*o + 10 = 5*o, -4*o + g = 0. What is the least common multiple of (5/(-2))/((-4)/8) and s?
45
Let q = 12/43 + -2461/344. Calculate the common denominator of -87/20 and q.
40
Calculate the common denominator of 122/15 + 4/6 and (-406)/168*(1 - -8).
20
Let o = 3/595 - -11281/4760. What is the common denominator of ((-18)/(-16))/(66/(-440)) and o?
8
Let z = 4 - -8. Find the common denominator of 71/12 and (-169)/(-30) + z/18.
60
Let l = 6939 + -97247/14. What is the common denominator of l and 8/(48/(-171)) - -5?
14
Suppose 2*j - 4*q = -3*q + 11516, -5*q = 5*j - 28790. Let b = j - 34651/6. Calculate the common denominator of b and -97/6.
6
Let j(o) = -o**2 - 6*o + 2. Suppose 4*z = -r - 2, 3*z = -2*r - z - 8. Let n be j(r). Suppose 2 = n*g - 6. Calculate the least common multiple of g and 14.
28
Let u be ((-9)/(-2))/((-3)/(-4)). Suppose o = -o - 4*k + 4, 0 = 3*o + k - u. What is the smallest common multiple of o and 20?
20
Let r be 3893/(-9) + (-5)/5. Let n = r + 434. Find the common denominator of n and -10.
9
Let o be (-2727)/(-42)*(-2)/25. Let b = -1/175 + o. What is the common denominator of b and 89/2?
10
Let y = 4259/4 + -1077. What is the common denominator of -49/20 and y?
20
Suppose 2*k + 15 = 5*k, 4*s - 3*k = -79. Let b(f) = 4*f + 6. Let w be b(4). Let p = s + w. Calculate the lowest common multiple of 2 and p.
6
Calculate the common denominator of -95/14 and 3/(-5) - (-2418)/(-420).
14
Let x(y) = -3*y - 35. Calculate the smallest common multiple of 4 and x(-15).
20
Calculate the least common multiple of (6 - 4 - 5)*-1 and 6.
6
Let o = 121/2 + -41. Calculate the common denominator of o and 27/13.
26
Suppose 6 + 29 = 7*z. Suppose -18 = -z*t + 2*h, t - 3*h = -2*h + 6. What is the lowest common multiple of 4 and t?
4
Let g = 97 + -40. Calculate the common denominator of -59/18 and g/(-2)*(-10)/48.
144
Let w = 3467/222 + 156/37. What is the common denominator of 83/18 and w?
18
Let t = 1564/5 - 3051/10. Let a = 97487/20 - 4873. What is the common denominator of t and a?
20
Suppose 9*w + 52 = 241. What is the lowest common multiple of 27 and w?
189
Let i(s) = -7*s**3 + s**2 + 2*s + 1. Let y(j) = 2*j - 9. Let c be y(6). Let g(p) = p**2 + p - 4. Calculate the lowest common multiple of g(c) and i(-1).
56
Suppose -2*w - 24 = 4*r + 14, 0 = -3*r - 2*w - 31. Let q = -9857/4 + 2445. Find the common denominator of q and -2 + ((-651)/(-66))/r.
44
Calculate the lowest common multiple of 4 and -11 + 15 - (0 + 3).
4
Let k = 2 + 1. Let b(d) = d**2 - 3*d - 2. Let t be b(k). What is the common denominator of -97/10 and t/(-10)*(-235)/(-16)?
80
Suppose -3*i = -6*i + 12. Calculate the lowest common multiple of i and 3.
12
Find the common denominator of (3/(9/(-8)))/((-57)/(-9)) and 53/2.
38
Find the common denominator of (-327)/(-48) - 1 - 4 and -79/16.
16
Suppose 5*d - 5*x - 69 = 1, 5*d - 67 = 4*x. Calculate the least common multiple of (6/(-4) + 3)*-2 + 6 and d.
33
Suppose 0 = -4*o + o - 6. Let g = 28/73 + -4071/146. Find the common denominator of g and (-3)/o*3/(-12).
8
What is the smallest common multiple of 12 and 259/5 + (-4)/(-20)?
156
Let r(f) = 6*f**3 - 2*f**2 - 2*f - 1. Let g be r(-1). Calculate the smallest common multiple of 1/(-3) - (-52)/12 and (-12)/g - 12/(-42).
4
Suppose -3 = -3*q + 3*r, -q + 5 = 4*q - 2*r. Calculate the common denominator of (1/9)/(q/219) and 65/9.
9
Let g(i) = -8*i. Let p(q) = -25*q - 1. Let v(j) = -7*g(j) + 2*p(j). What is the smallest common multiple of v(2) and 11?
110
Let v = 5201262/223 - 23324. Let y = v + -20759/446. Find the common denominator of -83/14 and y.
14
What is the common denominator of ((-4)/(-30))/(24/318) and 145/18?
90
Let l = -373/10 - -73/2. What is the common denominator of 12/5 and l?
5
Suppose a - 7615 = 4*a - 4*y, 3*a + 2*y + 7645 = 0. Let s = a + 56009/22. What is the common denominator of 97/8 and s?
88
Suppose 6*h + 13 = 7*h. Calculate the smallest common multiple of 26/h*(1 + 0) and 1.
2
Suppose 5 = 2*h + 1. Suppose 7 = -5*t + h. Calculate the common denominator of -2 - (-27)/6 - t and -9/8.
8
Calculate the common denominator of (-2)/(-5)*246/8 and -52/7.
70
Suppose 0 = -q + 3*q - 40. Let v = 968/17 - 14213/272. What is the common denominator of v and (3/q)/((-2)/(-54))?
80
Let p(w) = -79*w - 5. Let m be p(4). Suppose -5*a - 3*f + 195 = 0, 56 = a - 4*f - 6. What is the common denominator of 79/12 and (m/a - -1) + 2?
84
Let t be (440/12)/(-5)*-3. Calculate the common denominator of -45/2 and -53*2/t + 4.
22
Let j be (4/(-14))/(52/963703). Let l = 2984 + 2308. Let a = l + j. What is the common denominator of -29/6 and a?
42
Let o = 182465/37432 + 2/4679. Calculate the common denominator of o and -85/24.
24
Let z = -554 + 21059/38. Let k = -775/133 + z. Let t = -1/7698 + 57094/3849. Find the common denominator of k and t.
42
Let t be (-2)/4 + 9/2. Suppose -3*l = -t + 1. Suppose 7*b = -2*b + 36. What is the smallest common multiple of b and l?
4
Let x be (-453)/5 + 8/(-20). Suppose 2 = -2*r + 4. What is the lowest common multiple of r and x/(-28) + (-3)/(-4)?
4
Suppose 2*r + 2*m + 15 = -1, -4*r - 3*m - 30 = 0. Let x be r/(-4)*(-2932)/(-3). Let t = -13225/9 + x. What is the common denominator of 31/6 and t?
18
Let o be -1*(-148)/(-88)*-2. Let k = -39/44 - o. Find the common denominator of (-2 - -1)*(-43)/(-3) and k.
12
Let a = 27659/6 - 4585. Calculate the common denominator of -8/5 and a.
30
Let t = 2231/7 + -39311/126. Find the common denominator of 29/18 and t.
18
What is the common denominator of 2/1 + (-1 - (-62)/4) and 65/66?
66
Let l = 50125/18 - 2783. What is the common denominator of -31/22 and l?
198
Let z(k) be the first derivative of -k**2/2 + 9*k + 2. Let s(r) = r - 9. Let f(g) = -3*s(g) - 2*z(g). What is the smallest common multiple of 20 and f(7)?
20
Let v(h) = 1. Let t(x) = 19*x - 5. Let r(i) = -t(i) - 3*v(i). What is the common denominator of -31/10 and r(2)?
10
Suppose 2*s + s - 188 = -4*u, -u = -3*s - 32. Suppose 154 = -5*n + 2*o, -n - 12 = 3*o + 12. Let i = n + u. What is the common denominator of -81/10 and i?
10
Suppose 5*m - 2*l = 6*m - 31, -3*l - 9 = 0. Suppose m = 4*n + 13. What is the least common multiple of n and 14?
42
Find the common denominator of 5/(-60)*(410/(-8) + 1) and 61/16.
16
Let g = -91 + 97. Calculate the least common multiple of 39 and g.
78
Suppose -13*r - 8 = -14*r. Calculate the smallest common multiple of r and 46.
184
Calculate the common denominator of -7/20 and ((-195)/126)/(4/(-12)).
140
Let x = -97479 + 1071495/11. Let f = x - -7219/99. What is the common denominator of -74/9 and f?
9
Let v = -91/61 - -4571/488. F