3 - 7*z**2 + 5*z - 6. Let t be n(-6). Suppose 2*b + t = 6*b. Calculate the common denominator of 4/(-18) + 1052/b and -73/9.
90
Suppose -2*r + r = -42. Let i = -20 + r. Calculate the common denominator of i and 4/3.
3
Let t be (44/6)/(72/(-20709)). Let w = -2124 - t. Calculate the common denominator of w and -4.
4
Suppose 4*p + 3*k - 12 = -k, -3*p + 2*k = -29. Suppose 3*b - 2*n + 4 = 3*n, 3*b + 3*n = 36. What is the lowest common multiple of p and b?
7
Let w(s) = -s**3 + 5*s**2 + 5*s + 5. Let c be w(6). Calculate the lowest common multiple of c/3 + (-88)/(-12) and 4.
28
Suppose 4*a + 3*s = 27, s + 2*s = a - 3. Calculate the least common multiple of 4 and a.
12
Let s be (0/(-3) - -1) + -10. Let g(h) = -h + 1. Let c(p) = -p**2 - 11*p + 16. Let o(z) = -c(z) + 4*g(z). What is the least common multiple of 9 and o(s)?
18
Let o = 2024792477/17841010 - 3/1621910. Let p = 9538 - 47128/5. Let v = p - o. Calculate the common denominator of 87/8 and v.
88
Let i(q) = 2*q - 4. Let t be i(5). Let y = -12 + t. Calculate the common denominator of 50/8 + (-2)/y and 55/4.
12
Suppose 4*v - 39330 - 7537 = m, 3*m = 15. Let w = v - 2144408/183. Let d = 1451/2562 - w. Find the common denominator of d and -41/6.
42
What is the common denominator of (-90)/(-80) + 1/2 and 69/10?
40
Suppose 4*p + 3*c + 0*c - 59 = 0, -p + 21 = 2*c. What is the smallest common multiple of 8 and p?
88
Suppose 0 = 3*m + 3*y - 6, 5*y = y - 4. Suppose g - 3 = m. Calculate the least common multiple of (-20)/(-6) - 3/9 and g.
6
Let j = -2 + 4. Calculate the common denominator of 1 + j/((-60)/393) and 25/2.
10
Let h = -4 + 6. Let m be (-2)/h*(3 - 20). Suppose n + 3*i = -0*i + 27, -n - i + m = 0. What is the least common multiple of 10 and n?
60
Let m be (22 - -1)*1 - 1. Find the common denominator of 42/11 and (-43)/(-14) + 33/m.
77
Let t(a) = 4*a + 6. Let d be t(6). Suppose -5*q + 28 = -42. What is the common denominator of q and -2 - (d/(-7))/(-3)?
7
Let w(o) = -o - 9. Let h = 20 - 30. What is the least common multiple of 2 and w(h)?
2
Let f = 1655/4 - 845/2. Let x = 7978/5 - 1590. What is the common denominator of x and f?
20
Let v(p) = p**3 + 8*p**2 - 11*p - 7. What is the smallest common multiple of 8 and v(-9)?
88
Let j = -42550905293/105 + 405240188. Let z = -45291/7 - j. Let k = z + -253/5. Find the common denominator of 63/10 and k.
30
Suppose -2*q - 3 = -21. Let b(f) = -f**3 - 3*f**2 + 4*f + 1. Let r be b(-3). Let h = -6 - r. Calculate the lowest common multiple of h and q.
45
Let j = 6 - 0. Suppose -5*q + 4*g + 30 = 0, -q - 2*q + 2*g = -20. What is the least common multiple of j and q?
30
Suppose -3*i = 4*o - 81, 5*o - 5*i = -0*i + 75. Calculate the lowest common multiple of o and ((-4)/6)/(1/(-18)).
36
Let w = 322 + -1979/6. Let c = -3802 - -22679/6. What is the common denominator of w and c?
6
Let m = -58129/6 + 9713. Find the common denominator of m and -71/12.
12
Let r be ((-4)/(-8))/(2/64). What is the least common multiple of (-6)/(-4)*r/12 and 18?
18
Let s be 1 + (8 - (2 + -3)). What is the common denominator of -111/14 and (-4)/s*(-161)/14?
70
Let g = -35/27 + 203/27. What is the common denominator of g and 1/10?
90
Suppose 0*b - b = -14. Calculate the smallest common multiple of b and 2.
14
Let k = 11476/5 + -2304. Calculate the common denominator of k and -33/4.
20
Suppose 4*a = x - 85, 5*x = -2*a - a - 35. Let d = 2393/105 - -73/70. What is the common denominator of d and 4/10 - (-34)/a?
30
Let k = 146/33 - 3785/132. Calculate the common denominator of k and (-582)/(-20) - 4/(-10).
4
Let w(l) be the third derivative of -l**5/60 + l**4/2 - 11*l**3/6 - 5*l**2. What is the smallest common multiple of 22 and w(9)?
176
Let s(h) = h**3 + 4*h**2 - 4*h - 4. Let d be s(-4). Suppose 0 = 4*v - 38 - 46. Let k = v - d. What is the lowest common multiple of k and 10?
90
Let s be 0 - 3 - (-15 - -1). Let o = -3 + s. What is the least common multiple of o and 6?
24
Calculate the least common multiple of 20 and 3 + (-54)/(-4) - (-1)/(-2).
80
Calculate the common denominator of -11/2 and 3/24*872/12.
12
Find the common denominator of -11/10 and 9/(-27) + (-454)/(-120).
20
Calculate the common denominator of -99/8 and 1 + ((-1)/6 - (-1002)/288).
16
Suppose 3 = 2*h - 15. Suppose 3*l - 5*d = 39, 2 - 1 = -l - 3*d. Let j = 16 - l. Calculate the smallest common multiple of h and j.
72
Suppose 6*l - 180 = 2*l. Find the common denominator of (-1)/2 - 110/l and -11/14.
126
Let u be (-198)/(-45)*(-2 - 3). Calculate the common denominator of (-4)/((-40)/u) + -2 and 49/10.
10
Let n(w) be the second derivative of w**3/6 - w**2 - w. What is the least common multiple of 4/6*3*4 and n(4)?
8
Suppose -2*h + m + 7 = -0*m, 3*h - 18 = 3*m. What is the common denominator of h*206/(-20) + 3 and -77/18?
90
Let m be (-20)/(-25) - (-2)/10. Find the common denominator of 17/7 and (-248)/72 - (-5 + m).
63
Let c(s) = s**3 - 3*s**2 + 2*s - 2. Let d = 9 - 6. Calculate the smallest common multiple of 11 and c(d).
44
Calculate the common denominator of -1 + (-1 - 82/24) and 4/(-8) + (-75)/(-33).
132
Let s be -220 + (1 - (2 + -2)). What is the common denominator of 6/11 and 2*(s/48 + 0)?
88
Find the common denominator of (-3)/(-5) + (-187)/(-44) and (1 - (-1)/18) + 2.
180
Suppose 6*t = 6 + 18. Calculate the lowest common multiple of t and 4.
4
Let k be ((-2)/4)/((-1)/4). Let h be 3/(-2)*12 + k. Let m = h - -22. What is the least common multiple of 8 and m?
24
Suppose 0 = -4*y + 1 + 7. What is the smallest common multiple of y and 11?
22
Let h(z) = 2*z - 5. Suppose i - 4 - 5 = 0. Calculate the smallest common multiple of i and h(6).
63
Calculate the lowest common multiple of 22 and (-237)/(-15) + 2/10.
176
Suppose 3*g - 12 = -4*h + g, 4*g + 15 = 5*h. Let y(l) = l**2 + 2*l - 4. What is the least common multiple of y(h) and 4?
44
Suppose 3 - 1 = w. Calculate the lowest common multiple of 3 and w - (1 - -4) - -13.
30
Suppose -3*f - 9 = 5*l, -2*l - 7 = -3*f + 5. Let a be 0/(3 + (l - -1)). Find the common denominator of 0 - ((-115)/(-12) + a) and 75/4.
12
Calculate the smallest common multiple of (-17)/(-3) - (-9)/27 and 14.
42
Let c = 98433/106 - 2550/53. Let g = c + -922. What is the common denominator of g and -117/14?
14
What is the smallest common multiple of 1 and (6/12)/((-2)/(-20))?
5
Calculate the common denominator of 3/((-16)/18 + 2) and 11/12.
60
Suppose 0 = -5*z + 2*z + 6. Find the common denominator of 59/4 and 1/(-5)*205/z.
4
What is the lowest common multiple of (((-117)/(-36))/(-13))/((-1)/4) and 7?
7
Find the common denominator of 37/40 and (-9)/(-6) - 4 - -3 - 1.
40
Let k(b) = b**2 + 3*b - 7. Let l be k(-5). Suppose -23 = -5*x - l. What is the smallest common multiple of 18/(-45)*20/(-1) and x?
8
Let j = 507 + -207. What is the common denominator of (-9)/15 + (-2545)/j and (-341)/(-90) - 4/10?
36
Let z = -2360 - -667879/283. Let m = -13/21093 - 53863183/47754552. Let j = z - m. Calculate the common denominator of -61/20 and j.
40
Suppose -j + 5 + 3 = 0. Suppose -f - k = 0, -f - 6*k + k + 4 = 0. What is the smallest common multiple of ((-10)/(-4))/(f/(-2)) and j?
40
Let g(u) = -3*u + 8 + 0 + 5*u + 6*u. Let v be g(-7). What is the common denominator of 31/22 and 69/v - 4/2?
176
Let p = 1837/4 + -464. Let w = -1016903476/122996601 - -234/150179. Let d = w + 186/91. What is the common denominator of p and d?
36
Let p(j) = 2*j - 2. What is the lowest common multiple of -1 - (-2 + (-6)/2) and p(3)?
4
Let o(i) = -3*i - 4. Calculate the smallest common multiple of 68 and o(-4).
136
Let f be (-2)/(-1) + 438/(-69). Let o = 9423/46 + f. Let s = -2869/14 + o. What is the common denominator of s and 49/9?
63
Suppose 3*h + 4*r + 8 = h, -r - 3 = 0. Let q = -2 - -8. Calculate the least common multiple of h and q.
6
Suppose 3*s - 3*g = 48, 4*s - 44 = -4*g + 52. Let t = -9 + 6. What is the lowest common multiple of 14 + 2 + 1 + t and s?
140
Let o = 2382 + -9461/4. Let z = -23669/6 - -3968. Calculate the common denominator of o and z.
12
Let m(n) = 4*n**2 - 4*n + 2. Let c be m(2). Suppose 1 = -2*k + z, 0*k - 3*z = k - c. Calculate the lowest common multiple of 9 and k.
9
Let c be 2*6/(-4) - 6727. Let j be (-242922)/(-8)*4/(-18). Let l = c - j. Find the common denominator of l and -33/16.
48
Let x(c) = -c - 2. Let z(b) = 3*b + 3