20).
20
Let i = -6564/17 - 178135/68. Let x = i + 2989. What is the common denominator of ((-37)/5)/((-16)/(-10)) and x?
8
Suppose 264 = -826*p + 837*p. Let c = -10 - -37. What is the least common multiple of c and p?
216
Let g(s) = -3*s - 13. Let t be g(-5). Let o = -17/50 + -109/150. Find the common denominator of o and (t - 2) + 438/36.
30
Suppose 0*s - s = -17. Suppose -q + 3 + s = 0. What is the common denominator of 85/4 and (-24)/q*(-30)/27?
12
Suppose 6 = -4*n + 102. Suppose -4*r + r + 120 = 0. Calculate the common denominator of (114/r)/(n/20) and -85/6.
24
Let r be (-5)/(-1)*(-728)/(-20). Find the common denominator of 1*(r/24 - -1) and (-4)/18 - 629/(-36).
12
Let d = 2559391/60 - 42658. Find the common denominator of d and 133/60.
60
Let v = -2391702468268350923/645018 + 3707962364261. Let r = 1/29319 - v. What is the common denominator of -1/32 and r?
352
Let q = -1010 - -1088. Calculate the smallest common multiple of 16 and q.
624
Suppose k - 154 = -3*n, -220 = -3*n - 2*k - 65. What is the lowest common multiple of n and 5?
255
Suppose 2*o = -v - o - 7, 4*v - 4*o + 12 = 0. What is the common denominator of ((-40)/(-36))/(v/21) and 17/46?
138
Let w = 4/2467 - -175133/14802. Find the common denominator of w and 29/10.
30
Let k = -18743/9 - -2085. Find the common denominator of -57/40 and k.
360
Let a = -5880861/110 - -53462. Calculate the common denominator of -41/110 and a.
110
Find the common denominator of 83/20 and 2/13 + 1/(11336/466).
2180
Find the common denominator of -7 + (-3)/((-237)/520) and 35/9.
711
Let y be (-18)/36564*(-7)/((-14)/(-12)). Let q = y - 551777/91410. What is the common denominator of -64/3 and q?
30
Let u = 4 - 13. Let n be (-678)/u*4/24. Let t = n + -151/45. Calculate the common denominator of t and -17/6.
30
Find the common denominator of 89/16 and 5 - (-6)/(480/(-268)).
80
Let y(m) = -m**2 + 3*m - 4. Let f be y(4). Let b = -22 - f. Let j = b - -28. What is the least common multiple of j and 16?
112
Suppose d - 10 = -4*d + o, 0 = -5*d - 5*o + 40. Calculate the least common multiple of 20 and 21 - (4 + (-4 + 1)/d).
180
Let m = -5017 - -50121/10. Calculate the common denominator of -13/5 and m.
10
Let f = 0 - -4. Let i = -119 - -123. What is the least common multiple of i and f?
4
Let t be 102/9 - 1/3. Suppose u + t + 27 = 3*j, -53 = -3*j + 4*u. Calculate the smallest common multiple of j and 1.
11
Let u(r) = -r**2 + 6*r + 10. Let v be u(7). Let x = -170 - -1845/11. What is the common denominator of x and (36/(-14))/(v/9)?
77
Let p = -168585579/664 - -253894. What is the common denominator of p and -21/16?
1328
Let m(c) = 4*c**2 - 213*c + 27. Calculate the least common multiple of m(55) and 40.
4120
Suppose 5*h = -3*k + 2, -2*h + 2*k + 0 + 4 = 0. Let d be h/2 - 21/6. Let y(n) = n**2 + n. What is the lowest common multiple of y(d) and 1?
6
Suppose 3*v - 20 = -v. Suppose 5*t + 4*m = -m - 10, t - v*m - 22 = 0. Suppose k = -t*k + 72. What is the lowest common multiple of 11 and k?
264
Let i = 6085/12 - 1453/3. Find the common denominator of i and 297/(-27) - (-440)/32.
4
Suppose 0 = c - 5*b + 11 - 0, -3*c + 4*b = 0. What is the smallest common multiple of 512 and c?
512
Let z = -61 - -14. Calculate the common denominator of 70/(-252)*z/(-5) and 9/22.
198
Suppose -16*k + 13*k - 9 = 0. Let a be -2 + (4 - 0) - k. Suppose -30 = -a*y + 10. What is the smallest common multiple of 4 and y?
8
Suppose 0 = -2*q + 5*q - 144. Find the common denominator of q/(-14) - (-6)/2 and (-107)/(-36) - (-2)/8.
63
Let l = -52 - -429/10. Find the common denominator of -27/14 and l.
70
What is the lowest common multiple of 35/105 - (2 + 236/(-12)) and 42?
126
Let p = -185/8 - 49/24. Let r be (-2)/6*(-7 - -4). Calculate the common denominator of r/2*93/(-8) and p.
48
Calculate the common denominator of 1/2*(-9)/36 and (-57)/95 - (-79)/10.
40
Let k = -57 - -53. What is the common denominator of 101/10 and (2 - 22/k)*40/(-168)?
70
Let r = -4307/153 + 369/17. Calculate the common denominator of -77/48 and r.
144
Let u be (48/(-15) - -2)*-5. Suppose -u = -v - 4*b, -3*v - 2*v = -3*b - 122. Calculate the lowest common multiple of -4*4/(-24)*3 and v.
22
Let z(t) be the third derivative of t**6/120 - t**5/4 + 7*t**4/12 + t**3/6 + 30*t**2. What is the lowest common multiple of 37 and z(14)?
37
Calculate the common denominator of -53/5 and (-5)/(6225/5076) + (2 - -2).
415
Let j = -6642073/840 - -55346/7. What is the common denominator of 52/15 and j?
120
Suppose 4*l - 5*d = 3 + 21, -d + 1 = 5*l. Let u be l + (-3 - 1281)/(-3). What is the common denominator of 43/20 and (u/3)/(-5 - 1)?
60
Suppose 19*h - 10 = 14*h. Suppose -4*y + 9 = 5*g, -h*y + 5*g + 21 + 6 = 0. What is the least common multiple of y and 15?
30
Let b(m) = m**3 - 10*m**2 + 1 - m + 5*m**2 + 2*m**2. Let i be b(2). Let y(w) = w + 9. What is the least common multiple of y(i) and 12?
12
Suppose 4*m - 396444670 = -m. Let c = m + -147477412679/1860. Let j = c + -1/465. Calculate the common denominator of 27/16 and j.
80
Suppose -m - b = 2*b - 2429, m = 2*b + 2429. Let t = -90768754/37485 - -101/4165. Let w = t + m. What is the common denominator of w and -49/3?
9
Let u(f) = f**2 - f - 1. Let y be u(0). Let q(k) = -10*k**3 - k**2 - 2*k - 1. Calculate the lowest common multiple of 16 and q(y).
80
Let g = 39274/4565 + -3/913. Find the common denominator of g and 17/315.
315
Let i(f) = 997*f + 1947. What is the common denominator of i(-2) and (-206)/48 - (-2 + 4)?
24
What is the lowest common multiple of 54 and 33 + -21 - (-7 + 1)?
54
Let s = 22405 - 537605/24. Find the common denominator of s and 109/60.
120
Let z = 1187/63 + 540139/252. Let p = 6091 + -3946. Let k = z - p. Calculate the common denominator of k and -17/9.
36
Suppose -5*x = -3*x - 16. Let z be (x - 14)/((-3)/(-4)). Find the common denominator of 77/16 and 600/308*14/z.
176
Suppose -263 + 23 = -5*h. What is the common denominator of (-342)/h*(-8)/(-20) and 24?
20
Suppose f + 120 = 5*f + 3*z, 0 = -z. Calculate the least common multiple of 99 and f.
990
Let z(c) = c**3 - c**2 + c + 6. Let p(n) = 1 + 5*n - 4 - 9 - 3*n. Calculate the least common multiple of z(0) and p(17).
66
Let r = 3/1561 + 6449/9366. Let f = r - 17/6. What is the common denominator of f and (37 - 6)*(-7)/21?
21
Calculate the lowest common multiple of (4/(-7))/(3/(-63)) and (-2)/2 + 2*5.
36
Let y(l) = 376*l**3 + 3*l**2 + 4*l + 1. Let i be y(-2). Let g = i - -60083/20. Calculate the common denominator of -85/2 and g.
20
Suppose k - 8*k + 42 = 0. Calculate the lowest common multiple of k and 231.
462
Suppose 0*t + d = 4*t + 497, 3*t + 371 = -d. What is the common denominator of (t/40 - -3)*3020/24 and -5/14?
84
What is the common denominator of 47/45 and 2 + (-564)/160 + 5 - 4?
360
Let a = -32 - -29. What is the common denominator of 32/9 and 183/9*a/(-5)?
45
Suppose 2*n = -x + 6215, -x = -4*n - 0*x + 12421. Let h = -31091/10 + n. Find the common denominator of -39/22 and h.
110
Suppose -8*z + 505 = -231. Let g = 61 + -39. What is the smallest common multiple of z and g?
1012
Suppose 0 - 24 = 2*m. Let g be (-687)/1239 - (-4)/7. Let c = -764/177 - g. What is the common denominator of m and c?
3
Let p = 9973/40 - 2061/8. Let t be (582/30)/((-14)/5). Let v = 9/2 + t. What is the common denominator of p and v?
70
Let z = 2089/2028 + 9/169. What is the common denominator of 121/18 and z?
36
Suppose -2*r - y + 17 = 0, y + 31 = -r + 5*r. Calculate the smallest common multiple of ((-6)/15)/(2/(-110)) and (-712)/(-32) + (-2)/r.
22
Let c(j) = 2*j**3 - 44*j**2 + 212*j + 204. Suppose 2*d - 10 = 18. What is the lowest common multiple of d and c(14)?
252
Let t = 91307/3 + -30038. Let l be ((-1025)/15)/((-7)/(-41)). Let i = t + l. Calculate the common denominator of i and -34/11.
77
Let x(u) = u**3 - u - 100. Let v be x(0). Find the common denominator of -1/21 and ((-9)/12)/((-6)/v).
42
Let t(s) = 10*s**3 + 4*s**2 - 4*s. Let f be t(5). Let p = -14618/11 + f. Let w = 21413/8996 + 3/692. Find the common denominator of w and p.
143
Let a = 69 - 51. What is the common denominator of (236/(-56) + 3)/(3/a) and 58/3?
21
Calculate the common denominator of 4 - (-15)/(-10) - (-357)/(-162) and 73/81.
81
Suppose -p = -2 - 4. What is the smallest common multiple of p and (6/(-8))/(2