
Let z(s) = -s**2 - 82. Let y be z(0). Let a = -12 - -20. What is the common denominator of a and 4/(-18)*y/(-4)?
9
Let s(v) = v**3 - 3*v**2 + 2*v + 3. What is the lowest common multiple of s(4) and 30?
270
Suppose d + 21 = 2*w + 2, w + 8 = 4*d. Let f(s) = 12*s**2. Let n be 1*-1*(-4)/(-4). Calculate the least common multiple of f(n) and w.
12
Let o = -393 - -599. Let a = o + -485/2. Find the common denominator of 29/16 and a.
16
Suppose 2 = -q + 8. Let w be ((-4)/(-10))/(2/(-10)). Let v = w - -4. Calculate the least common multiple of v and q.
6
Let l(d) = -d**3 + 2*d**2 + 18*d - 7. What is the smallest common multiple of l(5) and 10?
40
Let h = 6383/4 - 1616. Calculate the common denominator of h and -57/2.
4
Let w = 2 - 3. Find the common denominator of 32/3 and (-2)/w - (-300)/(-8).
6
Let l be -166*2/(-28) - 2. Let y be (0 + 0 - -8) + 2. Let n = y - l. Find the common denominator of 20/9 and n.
63
Suppose 3*z - 37 = 5*w, 5 = 5*w - 6*w. Calculate the lowest common multiple of z and 40.
40
Suppose 6*v = v. Suppose 3*o = -b - 7, v = b + 3*o - 4*o + 15. Calculate the common denominator of -59/6 and b.
6
Let h(m) = -m**2 + 7*m - 7. Let t be h(6). Calculate the common denominator of t + (150/(-16))/(-5) and (-1 - 0) + 23/4.
8
Let n(c) = -c**2 + 6*c - 12. Let a be n(6). What is the lowest common multiple of (3 - 2)/(-1) - a and 2?
22
Let g(v) = 2*v + 19. Let t be g(-14). What is the common denominator of 1/(-8)*(-852)/t and -47/11?
66
Suppose -10*z + 13*z - 27 = -2*u, 4*u + z = 59. What is the lowest common multiple of 108 and u?
540
Let a = 696/59 - 415630/35223. Let j = a + 23299/4776. What is the common denominator of j and -5/22?
88
Let f = 7 + -13. What is the common denominator of f/(-24) + (-206)/(-56) and 0/(-3) - (-26)/(-28)?
14
Let w = -205/3 - -71. Calculate the common denominator of w and (-1)/4*(-89)/2.
24
Let s be 2 + (-3 - (-6 - -2)). Suppose -2*b = -b + 3*g - 30, -s*b - 3*g + 66 = 0. What is the least common multiple of 20 and b?
180
Let o = 1625/2 - 763. Let t = o + -387/8. Calculate the common denominator of 21/10 and t.
40
What is the lowest common multiple of ((-8)/(-10))/(3/15) and 22?
44
Calculate the common denominator of 4 + -4 - (-18)/4 and -18/7.
14
Let q(n) = -n**3 - 6*n**2 - n - 2. Let t be ((-4)/(-6))/((-1)/9). Let d be q(t). What is the lowest common multiple of 6 and 1/d + 86/8?
66
Suppose 0 = -i - o - 17 - 7, -62 = 3*i + o. Let k = 27 + i. What is the lowest common multiple of k and 0/4 + 15 + 7?
88
Suppose -5*i = 38 - 158. Let s be 3/i*204234/(-5). Let c = 5110 + s. Calculate the common denominator of -149/12 and c.
60
Let v(r) = -r**2 - 3*r + 8. Let o be v(-6). Let u(s) = 177*s + 12. Let d be u(o). Find the common denominator of (-4)/18 + d/108 and -39/4.
4
Let r = 28144941387/7868584 - -1/983573. Let p = r + -3585. Find the common denominator of -23/8 and p.
8
Let v be 2426/(-1976) - (-14)/(-91). Let z be 4/(-114)*(-2979)/4. Let o = z + v. Find the common denominator of 59/4 and o.
4
Let n = -3735 + 59689/16. Let m = -282 + 3413/12. Calculate the common denominator of n and m.
48
Let u(x) = x**3 - 2*x**2 - x - 3. What is the least common multiple of 9 and u(3)?
9
Suppose 0 = 4*j - 28 - 4. Calculate the lowest common multiple of 11 and j.
88
Let k = -2/101 - 3935/202. Let t(m) = 37*m - 1. Let i be t(1). Calculate the common denominator of 58/i + 2/3 and k.
18
Let j = -155 + 166. What is the lowest common multiple of j and 65?
715
Find the common denominator of (-8)/10 - (-341)/70 and -81/8.
56
Let n = 4 - 1. Let v be (6 - n)*(-4)/(-3). Calculate the common denominator of 2/5 and ((-3)/v - -2) + 0.
20
Let b = 8/519 - 5906/1557. Let i be 2/(-3) + (-16718)/(-3864). Let u = i - -5/92. What is the common denominator of u and b?
63
Let b = -583 - -4655/8. Find the common denominator of b and -22.
8
Suppose 2*o - 2*t = 3*o - 3, 2*t = 4*o - 22. Suppose 2*f = 0, -o*f = 3*b - 2*b - 32. Calculate the lowest common multiple of 12 and b.
96
Let o(z) = z**3 + 4*z**2 - 5*z. Let r be o(-5). Suppose 0 = 3*k - k - 2, 2*n - k + 151 = r. Find the common denominator of 67/20 and (-2)/(-20)*n/(-2).
20
Suppose -w + 4*w = 9. Let r(n) = -4*n - 2. Let p be r(w). What is the smallest common multiple of 21/p*1*-2 and 8?
24
Let d = 1/1524 + -59447/16764. Find the common denominator of -85/2 and d.
22
Let l be (-1 - -1 - -3)*1. Suppose -l*f + 3*j + 87 = -0*f, 3*f = -3*j + 63. Suppose -2*r + f = 5. What is the smallest common multiple of 9 and r?
90
Let w = 6 - 4. Suppose w*f = f. Calculate the common denominator of 71/2 and (-147)/30 - f - -1.
10
Let b(a) = -a**2 - 5*a - 2. Let n be b(-3). Let k be (-45)/(-10) + (-2)/n. Suppose -k*u = -9*u + 35. Calculate the least common multiple of u and 6.
42
Suppose 0 = -4*q + 32 + 12. What is the smallest common multiple of q and (-6)/(-33) - (-756)/77?
110
Let c(m) = -m**3 + m - 25. Let q be c(0). Suppose v + 4*k = -4*v + 92, -22 = -v + k. Calculate the least common multiple of (-5)/(-2)*(-80)/q and v.
40
What is the common denominator of (-81 + 2)*(-7)/(-14) and -4/3?
6
Let z = 992 - 17939/18. Calculate the common denominator of z and 1/90.
90
Calculate the common denominator of 3/3 + (-444)/244 and 1/6.
366
Suppose 0 = 4*a + 16, -2*a = w - 2913 + 445. Let r = -24661/10 + w. Find the common denominator of 19/8 and r.
40
What is the common denominator of 137/12 and ((-88)/80)/(12/130)?
12
Let x = -119/3 + 713/21. Calculate the common denominator of (59/(-3))/(16/(-6)) and x.
56
Calculate the smallest common multiple of 2 and ((-14)/(-14))/((-2)/(-28)).
14
Let l = 31 + -27. What is the smallest common multiple of 12 and l?
12
Suppose 0 = -6*z + 5*z + 10. What is the least common multiple of 7 and z?
70
Calculate the common denominator of (-1659)/539 + (-2)/7 and 14.
11
Let n = 4 - -6. Let m be 4/(-6) + (-12)/(-18). What is the lowest common multiple of n and 1 + (8 + m - 2)?
70
Let w(x) be the second derivative of 4*x**3/3 + x**2/2 + 4*x. What is the lowest common multiple of w(1) and 1?
9
Let u(k) = 4*k + 1. Let p be u(-1). Calculate the common denominator of -31/6 and p*((-90)/8 + 3).
12
Suppose -r + 16 = 5*v, 86 = 3*r - 4*v - 0*v. Calculate the least common multiple of 10 and r.
130
Let v be 6/14*(-96)/54. Let m = -40810 + 1714135/42. Let j = m - v. Calculate the common denominator of j and -23/12.
12
Let n(s) = 2*s. What is the lowest common multiple of 4 and n(1)?
4
Let k = 136/19 - 751/304. Let v be 2/(-4)*8677/230. Let b = -412/23 - v. What is the common denominator of b and k?
80
Let z be (36/12)/(6/10). Suppose -68 = -z*b + 4*c, 0 = -b - 2*b + c + 45. What is the lowest common multiple of b and 8?
16
Suppose 0 = -3*x - 0 + 3. Let v(b) = b**3 + 3*b**2 - 11*b - 5. Let l be v(-5). Suppose l = -6*m + 10*m - 40. Calculate the smallest common multiple of m and x.
10
Suppose -25 = -5*s - 0*f - 5*f, -2*s + 5*f + 31 = 0. Let w = -66 - -124. Suppose -5*n = -w + 18. What is the smallest common multiple of s and n?
8
Let t = 61/342 + -2/171. Find the common denominator of t and -47/18.
18
Let z(n) = 3*n - 3. Let l be z(7). Let b = l - 13. Calculate the smallest common multiple of b and 8.
40
Let d(g) be the third derivative of -5/24*g**4 + 0*g + 2/15*g**5 - 3/2*g**3 + 0 + 1/120*g**6 - 2*g**2. Find the common denominator of d(-8) and 95/4.
4
Let g be 3/(-6)*2 + -14. Let h = -8 - g. What is the smallest common multiple of h and 7?
7
Let t = 35 + -26. Calculate the least common multiple of 1 and t.
9
Suppose -a + 65 = -2*p, -4*a = -p - 8*a - 10. What is the common denominator of 17/8 and p?
8
Let b = -23 + -2. Let a = -4 - 7. Let i = a - b. What is the least common multiple of 10 and i?
70
Suppose 70 = -b + 6*b. Let a(k) = -k**3 - 7*k**2 - 10*k + 4. Calculate the lowest common multiple of a(-5) and b.
28
Let f be (-2)/(80/41 + -2). Let p = -19 + f. Calculate the smallest common multiple of 12 and p.
132
Suppose 5*w + 17 = 2, -2*w = 3*p - 21. Suppose -2*c - 3 = -9. What is the least common multiple of p and c?
9
Suppose -3*w = -11 - 16. Calculate the common denominator of 29/18 and w/(-18) + (-38)/32.
144
Suppose -4*g + 20 = 0, 0 = -k - g + 2 + 11. Calculate the least common multiple of 18 and k.
72
Let i = -443131/22 - -20138. Let u = 63639/11260 - 1/563. Calculate the common denominator of i and u.
220
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