 = 3*a + 4*q. Find the common denominator of a/(-4)*301/21 and ((-59)/(-8))/(6/(-8)).
6
Let j(z) = -2*z + 66. Calculate the least common multiple of j(22) and ((-1)/(-2))/((-4)/(-128)).
176
Let p = -297 + 313. Let u(h) = 3*h**2 - 13*h + 1. Let a(q) = 2*q**2 - 7*q + 1. Let t(x) = 5*a(x) - 3*u(x). What is the lowest common multiple of t(-6) and p?
112
Let o = 50 - 36. Suppose 2*u = -u + 102. Let w = u - 22. What is the smallest common multiple of o and w?
84
Let v(q) = 11*q**3 - 2*q**2 + 13*q - 12. Calculate the least common multiple of 74 and v(1).
370
Suppose -p + 100 = 4*p - w, 17 = 2*p - 5*w. Suppose 3*o + 4*x - 39 = 0, 5*x + p = 3*o + o. What is the lowest common multiple of o and 6?
18
Let w(n) = 65*n**3 - 3*n**2 - 3*n. Let p(j) = 22*j**3 - j**2 - j. Let q(f) = 17*p(f) - 6*w(f). What is the least common multiple of q(-1) and 28?
112
Let d(l) = -l**2 - 7*l - 9. Let y be d(-4). Let c = -1 + y. What is the lowest common multiple of c and 5?
10
Let v = -77526 - -22327361/288. What is the common denominator of -27/16 and v?
288
Let z(t) = t - 29. Let c(l) = -4*l + 116. Let d(m) = -2*c(m) - 9*z(m). What is the lowest common multiple of d(3) and 22?
286
Let x = -82273/20 - -4115. Suppose -730 - 122 = -6*t. What is the common denominator of x and t/(-15)*(-36)/96?
20
Calculate the common denominator of -65/8 and 5/4 - 436/368.
184
Let s(t) = -t**2 - 5*t - 2. Let v be s(-3). Suppose -2 = 3*r + v. Calculate the common denominator of (0 - (-88)/28) + r and 68/9.
63
Let h = 50 - 26. Let s = -16 + h. Suppose -55*z + 62*z = 7. Calculate the least common multiple of s and z.
8
Let x = 59513/9301142 - 11/7706. Let p = -107351/14484 - x. Find the common denominator of -121/10 and p.
60
Suppose 8*b - 2*b + 7686 = 0. Let z = 6441/5 + b. Calculate the common denominator of z and ((-9)/20)/(1/(-2)).
10
Let a be (-6)/((-18)/21)*1. Suppose 4*m + a*j = 2*j - 9, 5*m - 2*j = 30. What is the lowest common multiple of 11 and m?
44
Let m(f) = -f**2 + 5. Let c be m(0). Let t(b) = -4*b**3 + b + 1. Let n be t(-1). Let h = c - n. What is the lowest common multiple of 11 and h?
11
Let i be 1/3*(6 + 5536). Let p = -1829 + i. What is the common denominator of p and 17/11?
33
Let l(f) = f**3 - 12*f**2 + 8*f + 59. Calculate the lowest common multiple of l(11) and 10.
130
Suppose 3*d + 5*r - 877 = -63, -2*d = 4*r - 542. What is the least common multiple of d and 9?
819
Let v = 282508529/14679120 + -70781/3946. Let s = v + 2/465. Calculate the common denominator of s and -5/34.
272
Let u = -23294 + 745501/32. Calculate the common denominator of 3609/(-90) + ((-16)/(-10) - 1) and u.
32
Let j = 108 + -101. Calculate the lowest common multiple of j and 5.
35
Let t(d) = -4*d**2 + 28*d + 7. What is the least common multiple of 49/4 - (-4)/(-16) and t(7)?
84
Let b(m) be the second derivative of -m**5/20 + 5*m**4/6 - 5*m**3/3 + 6*m**2 + 4*m. Calculate the least common multiple of b(9) and 21.
21
Let f(z) = -z**2 + 9*z + 6. Let c be f(9). Suppose -5*w - c = -2*a, -13 - 3 = 5*a + 3*w. Let h = a - -22. Calculate the smallest common multiple of h and 16.
80
Calculate the lowest common multiple of 43 + 1 + (4 - 30/(-10)) and 21.
357
Suppose 2*v - 2*d = 20, 2*d = -d - 3. Calculate the smallest common multiple of 1 and v.
9
Suppose -10*a - 30 - 10 = 0. Let d(f) = -f**3 - 3*f**2 + 3*f + 2. Calculate the smallest common multiple of 10 and d(a).
30
Let t(a) = a + 50. Suppose 7*q - 37 = 3*h + 6*q, -50 = 4*h - q. What is the smallest common multiple of 2 and t(h)?
74
Let l be (-12)/2*(-2)/(-4). What is the common denominator of -20/33 and 2 + 339/18 + (-12)/l?
66
Suppose -4*s - 2*k + 312 = 0, 33*s - 304 = 29*s + 2*k. What is the lowest common multiple of 7 and s?
77
Let j = 249 - 243. Let n = -37 - -53. What is the smallest common multiple of n and j?
48
Calculate the smallest common multiple of (-1 + 5/(-5))*(-6)/4 and 87.
87
Let z(p) = p**3 - 9*p**2 + 9*p. Let n be z(9). Let f = n + -59. Calculate the common denominator of f and -91/6.
6
Let f = -3889 + 35035/9. Find the common denominator of f and 3/(-4)*(-56)/(-108).
18
Let q(h) = -3*h - 8. Let y be q(-7). Suppose -18*c = -y*c - 70. Find the common denominator of 85/4 and ((-2)/(-12))/(c/18).
28
Let x = 0 + 6. Let r(h) = h**3 + 4*h**2 - 8*h - 5. What is the smallest common multiple of ((-2)/x)/(2/(-36)) and r(-5)?
30
Suppose 570 = -80*z + 90*z. What is the least common multiple of z and 1?
57
Let u = 1/4671 + -5955527/9342. Let w = -672 - u. Find the common denominator of 11/18 and w.
18
Calculate the common denominator of (-430)/18*(-135)/225 and (15/(-6))/(6/46).
6
Let z = -2/2113 + -118306/23243. Find the common denominator of (4 + -5 + 3)/((-2)/49) and z.
11
Let q = -16806/5 - -1311623/390. What is the common denominator of q and 50/9?
234
Let v(u) = u**3 + 8*u**2 - 8*u - 24. What is the lowest common multiple of 20 and v(-8)?
40
Let t = -101 - -45. Find the common denominator of ((-2)/(-8))/((-6)/(-496)) and (-3)/12 + 287/t.
24
Let w(f) = -2*f**3 - 28*f**2 + f - 1. Let i be w(-14). Find the common denominator of ((-54)/i - 4) + 642/(-520) and -69/2.
52
Let d(v) = v**3 - 3*v**2 - 10*v - 2. Let j be d(5). What is the common denominator of (-127)/24 + 4 - j and 29/15?
120
Let n be (-2 + 2)/(3 + -5). Let p be -4 + n/(-4) + 5. What is the common denominator of 3*p*259/147 and -58/3?
21
Let n = 18 - 22. What is the common denominator of 2 - ((-450)/(-115) + n) and -131/6?
138
Let k = -1083430/2493 - -3910/9. Calculate the common denominator of 50/9 and k.
2493
Suppose -7*t - 522 = -529. Suppose 4*m = 5 - 25. Calculate the least common multiple of t and 4*(-2)/(-4) - m.
7
Let s(y) = y**3 - 10*y**2 - 11*y + 3. Let k be s(11). Suppose 0 = k*i - i + 8. Find the common denominator of (-34)/i*12/14 and 23/11.
77
Suppose -20*p - 4 = -22*p. Let q(h) = h**2 - 4*h - 8. Calculate the lowest common multiple of q(6) and p.
4
Let r be ((2 - -1) + -63)/(5/15). Calculate the common denominator of 3*5/r + -3 and 109/14.
84
Find the common denominator of (-2346)/(-6664)*1/6 and -10/49.
392
Let q be -5*((-54)/30 + 3). What is the common denominator of (-1)/(-6) - -97*(-2)/q and (4/32)/(2/75)?
16
Let o(r) = r**3 + 2*r**2 - r + 3. Let n be o(-4). Find the common denominator of -83/6 and 23*1/(-1 - n).
24
Let b = 473563/96 + -4933. Calculate the common denominator of -1/12 and b.
96
Let i = 10 - 2. Let q = -8 + i. Let z = q + 12. Calculate the least common multiple of 6 and z.
12
Calculate the common denominator of (57/(-4))/(57/95) and 198/(-20) + 0/1.
20
Let t be -1 - -5 - 18/2. What is the common denominator of (26/15)/((-4)/(-3)) and ((-63)/24)/(t/(-15))?
40
Let a = -22453/8 - -2800. Calculate the common denominator of 101/16 and a.
16
Let u be (-14 + 12)/(2/5)*1. What is the lowest common multiple of ((-15)/27*-3)/(u/(-15)) and 52?
260
Calculate the lowest common multiple of 1920/48*1*(-6)/(-10) and 64.
192
Let o(m) = -10*m - 4 + 7*m - 4*m**3 - m**3 - 20*m**3. What is the least common multiple of o(-1) and 18?
72
Let j = 916 - 776. Calculate the smallest common multiple of 64 and j.
2240
Let t be -44342*-2*(-1)/(-24). Let q = -3679 + t. Calculate the common denominator of q and (-67)/(-3 - 36/(-4)).
6
Let k = -65 + 101. Calculate the smallest common multiple of 64 and k.
576
Let q = -472 - -1046. What is the least common multiple of q and 16?
4592
Let p be -1*1*21941/(-14). Let h = p + -1566. Calculate the common denominator of h and 7 + -1 + (-15 - 405/36).
28
Let t = -119 + -130. Calculate the common denominator of 39/7 and (t/(-9))/((-10)/15).
14
Suppose -4*w + 5*d - 39 + 404 = 0, -2 = 2*d. Calculate the least common multiple of w and 90.
90
Let y = -23 + 30. What is the common denominator of 41/(-11) - (-9 + 10) and y?
11
Let m = 15513550141123951859/468510 + -33112527248363. Let g = 5297/805 - m. Let v = g + 1/194. Find the common denominator of v and -49/4.
12
Suppose -4*j - 3986 = 1750. Let u be j/40 + 14/(-35). Let s = -91/2 - u. Find the common denominator of s and -13/10.
20
Let m = 2 + 4. Suppose 53*q - 4*q = 2352. Calculate the least common multiple of q and m.
48
Let t(p) = p**2 - 11*p + 22. Let d be t(9). Suppose -4*w + d = -q, 2*q + 3*w + 20 = 67. What is the lowest common multiple of 10*4*3/20 and q?
48
Let r = 1/1820 - 14333/910. What is t