 Let q = -3650516507/705 + b. Let z = q - 210/47. Find the common denominator of 43/2 and z.
30
Let z(o) = 4*o**2 - 7*o - 8. Let r be z(-5). Let j = 22 + r. Calculate the common denominator of 111/10 and j/70 + 3/(-15).
70
Let r be 3/2 + (-71192)/11984. Let d = 14/107 - r. Find the common denominator of d and -133/6.
42
Let k be 3/((-4)/(-24) + 0). What is the common denominator of -79/12 and (-12)/k + (-268)/(-40)?
60
Let j = -3391/1725 - -49/25. Let z = j - -32093/1380. Find the common denominator of 11/14 and z.
28
Let l = -18181/210 + 831/10. What is the common denominator of -37/70 and l?
210
Let o = 648748/119 - 5452. Let f = -5437/952 - o. What is the common denominator of f and 2/(-6) + 112/30?
40
Let g = 17 - 10. Let w(n) = n**2 - 10*n + 6. Let x be w(g). What is the common denominator of 170/22 + 12 + x and -51/10?
110
Let z = -2/1635 + -5518/835485. Let w = -31179/1022 - z. Calculate the common denominator of w and -91/4.
4
Find the common denominator of (8 - (-8268)/(-1001))*(-1)/2 and -32/77.
77
Let i be (-10 - (7 + -33))*-1. Suppose 42 = y + 8. Let o = i + y. Calculate the lowest common multiple of 14 and o.
126
Let i(m) = 2*m**2 + 13*m + 8. Let x be i(-7). Let f = 17 - x. Find the common denominator of (f - (-116)/(-18)) + 3 and 59/8.
72
Suppose -1 = v - 11. What is the lowest common multiple of (-90)/(-6)*2/3 and v?
10
Let w = -6829464/11095 - 43/1585. Let s = w + 620. Calculate the common denominator of s and 119/10.
70
Suppose 6*u = 4*u - 42. Let x = 27 + u. What is the least common multiple of 11 and x?
66
Let u = -6430 + 141503/22. What is the common denominator of u and (700/(-288))/7 - (-2 + 19/8)?
198
Let q = -2/51249 - -15528461/358743. Let b = -179/14 + q. What is the common denominator of -24/7 and b?
14
Let l(t) = t**2 + 3*t + 5. Let a be l(-4). Let x = 8 - a. Calculate the common denominator of 6/5 and 4/(-8)*(-1)/x.
10
Let b(z) = -8*z - 4. Let i be b(-5). Let q(x) = -9*x**2 - 22*x + 23. Calculate the smallest common multiple of (i/(-10))/1*-5 and q(-3).
72
Suppose 0 = q + 3*q - 68. Find the common denominator of q and -11 + 10 + 107/(-10).
10
Let b = -398 + 410. What is the smallest common multiple of 8 and b?
24
Let v be (-15123)/1390 - (-18)/45. Let q = v - 114/139. Find the common denominator of q and -21/5.
10
Let u = -441 + 539. Calculate the least common multiple of 140 and u.
980
Suppose -8 = 2*a - 4*d, -2*a + d = 2*a - 5. Suppose -106 = 3*f - 4*y, -2*y + 4*y = a*f + 72. Find the common denominator of 5/6 and f.
6
Suppose -s - 3*o + 167 = 0, 173 = 2*s + 5*o - 166. What is the lowest common multiple of 56 and s?
728
Suppose 35 = 4*j + 3*r, -4*j - 50 = -9*j - 5*r. Calculate the common denominator of ((-10)/j)/(88/(-166)) and -89/34.
374
Let p be 2 - 5/((-4)/9096*-3). Let a = p + 64360/17. Find the common denominator of a and 73/4.
68
Let c = 3747/530 + 150/53. Calculate the common denominator of -8/25 and c.
50
Let f = -9 - -26. Suppose 3*w + 3 = c + 10, -5*c = 3*w + f. What is the lowest common multiple of 10 and w?
10
Suppose l - 3*o = 0, l + 0*o + 4*o - 14 = 0. Let c = 17 - l. What is the least common multiple of 9 and c?
99
Let i = -4/121 - 1295/1089. Calculate the common denominator of 121/18 and i.
18
Let w = 530 - 9631/18. Find the common denominator of -41/9 and w.
18
Let v(s) = s**2 - 3*s - 1. Let t be v(4). What is the lowest common multiple of ((-6)/((-48)/(-4)))/((-1)/4) and ((-48)/(-9))/(1/t)?
16
Suppose 4*j + 4*t = 445040, 2*j - 73865 = 5*t + 148676. Let r be -1 - 2/32220*j. Let a = r - 34/895. Find the common denominator of -99/14 and a.
126
Suppose -t + 3*s = -5, t - 5*s - 4 + 9 = 0. Let c(o) = -o**3 - 15*o**2 - 17*o - 34. Calculate the lowest common multiple of t and c(-14).
40
Let g(d) = -d + 11. Calculate the common denominator of g(-19) and -30/11.
11
Find the common denominator of (945/126)/((-114)/10) and -87/8.
152
Suppose -2*i - 4983 = 417. Let v = 16103/6 + i. Find the common denominator of v and 91/12.
12
Let b = -21/449 + 21670/12123. What is the common denominator of 56/11 and b?
297
Let k = 565/2 - 301. Calculate the common denominator of 109/18 and k.
18
Let v be 741/(-2) + (-3)/12*2. Find the common denominator of 97/16 and (-14)/35 + v/10 + -1.
16
Let w be (-1)/(-4)*-15667*(-4)/(-20). Let y = 783 + w. What is the common denominator of y and (-6)/(-15) - 974/160?
80
Let i = 303/80 + -1307973/880. Let y = 1480 + i. Calculate the common denominator of y and -12/5.
55
Suppose 1 = v + 2*i, 0 = -v + 2*i + 2*i + 13. Suppose -3*c - v*c + 80 = 0. Calculate the lowest common multiple of 4 and c.
20
Calculate the common denominator of ((-30)/(-4))/(4/(-24)) and 41/115.
115
Let j = 10 + -8. Suppose -3*m - p - 141 = -5*m, 4*m + 3*p - 257 = 0. Calculate the lowest common multiple of m and j.
68
Suppose 0 = 2*d - 0 - 4. Let t(u) = -5*u + 22. Let s(f) = -f + 1. Let g(h) = -6*s(h) + t(h). Calculate the lowest common multiple of g(-8) and d.
8
Suppose -5*c + 2*j = -45, -c - 10*j + 21 = -8*j. Let m = 4 + 3. What is the least common multiple of m and c?
77
Let z be 21/42 + (-18)/4. Suppose -23 = d + 5*w, w + 7 = 2*d + 20. Let r = z - d. Calculate the least common multiple of r and 12.
12
Let q = 21 + -11. Suppose 56 = -2*g + 4*g - 5*i, 2*i = -5*g + 82. What is the least common multiple of q and g?
90
Let k be (-38)/475*(-1 + (-1339)/(-4)). Let c = k + 63/2. Calculate the common denominator of 1 - 2 - 58/16 and c.
40
Let n be ((-21)/(-140))/((-386)/4). Let w = n - -97483/11580. Find the common denominator of w and 43/2.
12
Calculate the common denominator of 47/72 and ((-5)/5 - -2)*76/(-36).
72
Suppose 2*n + 7 = 5*g, -5*n - 5*g = -20 - 15. What is the lowest common multiple of n and 3?
12
Let t(s) = s**2 - 1. Let q(n) = -n**3 - 15*n**2 + n + 25. Let j(o) = q(o) + 4*t(o). What is the lowest common multiple of 82 and j(-11)?
410
Let n = -10 - -12. Suppose 4*w - b + 2 = 6*w, -n*w - 2*b = 0. Calculate the smallest common multiple of 2 and w.
2
Let r = 140003/2 - 67355. Let b = r + -109763/42. Let m = b - 125/14. Calculate the common denominator of m and 45/11.
66
Suppose -22 = -3*j - 2*h, -j + 5*j = 3*h + 35. Let n be ((-13)/(-4))/(j/(-32)). Let l = -1 - n. What is the least common multiple of l and 16?
48
What is the common denominator of (-146)/(-24) - (-12 + 12) and 40/3?
12
Let m = 31 + -16. Let c = m - 6. Suppose 4*g + 10 + 2 = 0, z - 6 = -g. What is the lowest common multiple of z and c?
9
Let j = 50221/34580 + -4/1729. Find the common denominator of j and (-511)/(-42) + (-2)/3.
20
Let d(n) be the third derivative of n**5/60 - 11*n**4/24 - n**3/6 - 9*n**2. Let p = -369015/28 + 13177. Calculate the common denominator of d(6) and p.
28
Let v be (54/4)/(14/28). Let k = 37 - v. Calculate the lowest common multiple of k and 16.
80
Let i(q) = q**2 - 5*q + 6. Let u be i(2). Suppose 2*z - 61 + 17 = u. What is the smallest common multiple of 6 and z?
66
Let n = 113397/22 - 5156. What is the common denominator of n and 109/14?
154
Let j(k) = -k**2 + 1. Let y(r) = r**3 + 13*r**2 - 25. Let x(g) = -3*j(g) - y(g). Calculate the lowest common multiple of x(-10) and 18.
198
Let n = 7 + -4. What is the common denominator of (22/88)/(5/(-77)) and (4/(32/198))/n?
20
Let p = 563 + -16879/30. Let g = 523/90 - p. Calculate the common denominator of 13/30 and g.
90
Suppose -50*w + 47*w - 30 = 0. What is the common denominator of -2/3 and ((-24)/144)/(w/92)?
15
Let c = 202593 - 60374889/298. Let z = -1/745 + c. Let h = 1805 + -3589/2. Find the common denominator of z and h.
10
What is the lowest common multiple of 15 and (-10 + (-8 - -12))*(-6)/4?
45
Calculate the common denominator of -89/364 and (8/36)/(12/(-873)).
1092
Let f = 1/2 + -9/10. Find the common denominator of f and ((-2)/(-8))/((-33)/(-324)).
55
Let s(d) = 7*d**2 - 10*d - 3. What is the lowest common multiple of 5 and s(-7)?
410
Let b = 3 - -2. Let d(k) be the second derivative of k**5/20 - k**4/3 - k**3/3 + 5*k**2/2 - k. What is the least common multiple of d(b) and 9?
180
Let p be 8/6 - (-16)/(-48). Let d(s) = s**3 + 11*s**2 - 5*s + 7. What is the least common multiple of d(-11) and (-1100)/(-80) + p/4?
434
Let r be (-73)/(-5) - 34/(-85). Let o(b) = -b**3 + 14*b**2 + 17*b - 22. Let h = 8 + 1. Calculate the smallest common multiple of h and o(r).
72
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