.
40
Let j = 7862/3 + -2597. What is the common denominator of j and -29/5?
15
Let f = 164759/20280 - -2/2535. Let g = -595/24 + f. What is the common denominator of g and 5/(75/(-54)) + 2?
15
Let h be 90*-3*(-2)/132. Let c = 523/66 - h. What is the common denominator of -121/10 and c?
30
Let i = -8 - -23. Calculate the least common multiple of i and 25.
75
Let p = -12 + 12. Suppose -8 = -2*w, -w + 5*w - 31 = r. Calculate the least common multiple of 4 - p - r/(-5) and 4.
4
Let w = -3199/4 + 787. Let s be 606 - -2 - (-1 + 0). Let l = -5459/9 + s. Find the common denominator of l and w.
36
Let m = -5/272 + -15353/816. Find the common denominator of (-2)/((-24)/(-142))*-2 and m.
6
Let a(n) = -n**2 - 6*n + 1. Let g(i) be the first derivative of i**4/4 + 4*i**3/3 + i - 1. Calculate the least common multiple of g(-4) and a(-6).
1
Suppose 0 = 3*b + 40 - 67. What is the lowest common multiple of b and 8?
72
Suppose 2*c - 34 = 3*w + 30, -44 = -2*c - 2*w. What is the common denominator of (-3)/3 - c/6 and 27/5?
15
Let d be (54/15)/(8/20). Let b = 4 - d. Calculate the common denominator of 149/12 and b.
12
Suppose -2*h - 4*y = -9*y - 28, y = -5*h + 43. Let v(i) = -i**3 + 24*i**2 - 80*i + 5. What is the lowest common multiple of v(4) and h?
45
Let x(f) = -f - 2. Let y be x(-2). Let j(b) = -b + 18. Suppose -5*a + 6 + 7 = -3*h, -2*h + 8 = 5*a. What is the smallest common multiple of j(y) and a?
18
Calculate the smallest common multiple of (-124)/(-7) + 12/42 and 22.
198
Calculate the smallest common multiple of 11 and (-156)/65*(-5)/2.
66
Let t be -1 + ((-825)/(-8))/3. Let p = t - 221/24. Let a = -766 - -3091/4. Find the common denominator of p and a.
12
Suppose 4*k + 4 = -0, 0 = 3*d - 2*k - 26. What is the least common multiple of d and 1?
8
Let b = 470 + 1. Let n = -2150 + b. Let o = n - -36901/22. Find the common denominator of 151/6 and o.
66
Let k be (192/(-9))/(8/(-84)). Calculate the least common multiple of (-2)/5 + k/10 and 1/(-2*2/(-24)).
66
Suppose -2*d - 140 = 5*b, -2*d = 4*b - b + 80. Let i = -67211/10 - -6710. What is the common denominator of 9/15 + (-62)/b and i?
30
Let y = 18 - 31. Let r = -9 - y. What is the lowest common multiple of 20 and r?
20
Calculate the common denominator of 11/(-6)*3/(-4) and -7/32.
32
Let u = 131 + -407/3. Calculate the common denominator of u and 32/7.
21
Let a(v) = v**2 + 2*v - 3. Let k be a(2). Suppose k*s + 3*r = 5, -r + 2 - 1 = s. What is the smallest common multiple of (4/(-6))/(4/(-42)) and s?
7
Let b = -2322/7 - -41957/126. Calculate the common denominator of b and -19/40.
360
Calculate the common denominator of 1 + ((-243)/(-12) - 0) and -3*(-2)/34*-13.
68
Suppose 2*o - 4 = -k, -2*k = 4*o + 3*k - 8. What is the lowest common multiple of o and 10?
10
Let u = 1 - -1. Suppose -13 = -3*k + u. What is the lowest common multiple of k and 5 + -2 + (-1 - -3)?
5
Let s be 7 + 6/2 - -2. What is the common denominator of -17 and (29 + 1)*s/88?
11
Let y = 2282 - -60. Let k = y - 11748/5. Let w = -4283/4 + 1054. What is the common denominator of k and w?
20
Let g(f) = f + 7. Suppose 5*h - 5 - 31 = -t, 2*h - 5*t - 9 = 0. Calculate the least common multiple of g(h) and 20.
140
Suppose -2*w = -4*w + 12. Calculate the least common multiple of w and 34.
102
What is the least common multiple of 2 and (1 + 0)*(9 - 1)?
8
Suppose 0 = 3*r - 5*c + 17, -3*c + 12 = -0*c. Find the common denominator of 1 - r - (-98)/(-8) and -95/14.
28
Let z = -3207479 + 51398427/16. Let d = 4925 - z. Calculate the common denominator of -19/20 and d.
80
Suppose v + 19506 = 6819. Let g = v - -79421/6. Let j = -548 + g. What is the common denominator of 69/20 and j?
60
Suppose 5*g = -2*i - 38, 3 + 9 = -i + g. Suppose 4*a - f = 6*a - 11, 3*a - 21 = -3*f. Calculate the smallest common multiple of i/(-1 - 1) + 1 and a.
8
Let q be (8/(-10))/(8/60). Let g = q + 12. Calculate the least common multiple of 11 and g.
66
Let f = -214 - -318. Suppose 3*j = -j - 24. Calculate the common denominator of ((-3)/j)/(18/f) and 24/7.
63
Let q = -41/6 - -709/66. What is the common denominator of q and 51/13?
143
Suppose 38 = 3*s + 11. Suppose -s*o = -4*o - 50. What is the smallest common multiple of o and 9?
90
Suppose 0 = -3*w - 2 + 11. Suppose -11 + 4 = 3*p - 2*v, w*p - 23 = -4*v. Let k = p + 1. Calculate the least common multiple of k and 9.
18
Let r(u) = 175*u**2 + 4*u - 3. Let y be r(5). Let t = -39469/9 + y. Let i(o) = -2*o - 7. What is the common denominator of i(6) and t?
9
Suppose 0*a = -a + 16. Calculate the smallest common multiple of 10 and a.
80
Suppose -o - 3*a + 15 = -0*a, -o + a = -3. Find the common denominator of (-111)/(-24)*-1 + -3 and o/(-8)*(-202)/(-6).
8
Let w = 18 - 12. Calculate the least common multiple of w and (20/(-14))/(12/(-84)).
30
Suppose -4*j = 0, 3*j + 16 = 4*f + 8*j. Calculate the lowest common multiple of 11 and f.
44
Calculate the common denominator of (207/(-84))/(10/(-35)) and -81/4.
8
Let c(a) be the first derivative of -a**4/4 - a**3/3 - a**2/2 + 2*a - 4. What is the least common multiple of 9 and c(-2)?
72
Let s(j) = j**3 + 4*j**2 - 2*j - 7. What is the smallest common multiple of s(-3) and 10?
40
Calculate the common denominator of -16 + 17 - (-7)/(14/(-48)) and 15/4.
4
Suppose l + 3 = m, 5*m - 39 + 12 = -l. Calculate the lowest common multiple of (4/8)/(l/4) and 10.
10
Let v = 37 - 22. Suppose 2*u - v = -u. Suppose -u*i + 56 = 6. What is the smallest common multiple of i and 10?
10
What is the common denominator of (-43)/2*4/38 and (4 - -6)/(6/4)?
57
Let t = -300/67 + -2159/670. What is the common denominator of -87/8 and t?
40
Let j be 4/10 + (-7)/5. Calculate the common denominator of (-106)/22 - (j - -1) and 6/(-60)*(-310)/(-4).
44
Let l = 5 - 3. Calculate the common denominator of 43/9 and (l/7)/((-3)/28).
9
Let k(q) be the second derivative of -q**3/6 + 6*q**2 - 3*q. Calculate the least common multiple of k(9) and 7.
21
Let x = 2954 - 14827/5. Calculate the common denominator of -26/9 and x.
45
Suppose 54 = 5*a - 2*v, 5*v + 50 = 3*a + a. Suppose 4 = -2*u + 10. Suppose -w + u*w = 22. What is the least common multiple of a and w?
110
Let d(p) = 9*p + 7. Let c(o) = -4*o - 3. Let n(g) = 14*c(g) + 6*d(g). Calculate the smallest common multiple of 22 and n(-5).
110
Let r(f) = f**3 + 2*f**2 - 4*f. Let x be r(-3). Let j = 4 + x. Let w(t) = t**2 + 6*t + 4. What is the least common multiple of w(-7) and j?
77
Let w be (-292435)/140 - 2/(-8). Let g = w + 2082. Find the common denominator of -1/5 and g.
35
What is the common denominator of -131/36 and (-979)/484 - (0 + 0)?
396
Let y(b) = -11*b**3 - b. Let x be y(-1). Suppose 0 = 2*q + q + x. Let i = q + 6. What is the lowest common multiple of i and 1?
2
Calculate the common denominator of -93/68 and -1 - -1 - (1290/72)/5.
204
Let n = 41/5 - -153/10. Let m be (-7922)/90 - 0/1. Let d = -399/5 - m. Find the common denominator of d and n.
18
Let x = -135 + 418/3. Calculate the common denominator of (4/18)/(3/(-18)) and x.
3
Suppose -4*f + 10 = -22. Let y = -22 - -28. What is the least common multiple of f and y?
24
Let w = 111661549711/11882699628 + -26/7797047. Let n = w - -320/127. Find the common denominator of 31/2 and n.
12
Let r(a) = a + 16. Let b(d) = -3*d - 1. Let p be b(3). Calculate the smallest common multiple of 8 and r(p).
24
Suppose -36 = -2*s + g + 3*g, 4*s - 2*g - 66 = 0. Let c = -21 - -41. Calculate the least common multiple of s and c.
80
Let y = -6 + 11. Suppose 3*j = -3 - 12, 4*j + 10 = -y*m. Let h = 13 - 10. Calculate the least common multiple of h and m.
6
Let m(k) = -k. Let u(d) = -3*d - 1. Let v(h) = 10*m(h) - 4*u(h). Let x = 51 - 35. Calculate the least common multiple of v(5) and x.
112
Suppose 3*m + c - 1 = 4, 9 = 5*m + 2*c. Let p be ((-18)/(-27))/((-4)/(-6)). Suppose 0 = -3*z + 2*z + p. What is the least common multiple of z and m?
1
Let t = 7002 + -126127/18. What is the common denominator of -41/6 and t?
18
Calculate the least common multiple of 8 and -4 - -5*(7 + -4).
88
Let l = -677732 + -2631. Let f = 14972585/22 + l. Let t = -413/2 + f. Calculate the common denominator of t and -81/10.
110
Suppose 0 = 3*i - 2 - 4. Calculate the common denominator of -57/22 and ((-1)/4)/(i/(-134)).
44
Let c = -2896/91 - -319/13. Find the common denominator of -13/6