w = -8 - -3. Let d(j) = -2*j + 14*j**2 - j**3 + 7 - 19*j**2 - 1. Calculate the least common multiple of d(w) and 12.
48
Suppose 0 = -g, 5*a = a + 3*g + 8. Let p(n) = -n**3 + 3*n**2 - n + 2. Calculate the lowest common multiple of p(a) and 8.
8
Let z = 4 - 4. Suppose 2*s + z*w - w = -84, w = 3*s + 128. What is the common denominator of (-139)/s - 1/4 and -61/9?
99
Let p = 146 + -377. Let d = p - -1166/5. Find the common denominator of d and 4/18 + 337/(-99).
55
Suppose 41 = o + 6*u - 2*u, -4*o = 3*u - 138. Calculate the lowest common multiple of 3 and o.
33
Let s be ((-9)/(-6))/((-1)/(-36)). Find the common denominator of ((-3)/s)/(2/(-28)) and -81/4.
36
Let d(t) = t + 12. Suppose -3*j - o = 4*o - 30, 3*j - 30 = 5*o. Let u be 5/(-1)*12/j. What is the least common multiple of 11 and d(u)?
66
Calculate the common denominator of (4/(-6))/((-4720)/1164 + 4) and 21/16.
16
Let r = 33 + -233/8. Find the common denominator of 35/2 and r.
8
Let z = 11 + -5. Let n(h) = 2*h**2 + 2*h - 6. Calculate the least common multiple of n(-4) and z.
18
Suppose -5 = 2*q - 13. Suppose 0 = 3*f - q*f - 18. Calculate the common denominator of f and 2 + (-146)/20 - -2.
10
Let n be ((-4)/(-6))/(3/(-9)). Let f be -1 + 11 + 0 + n. Suppose 0 = -b + f. What is the lowest common multiple of b and 9?
72
Suppose -3*m + 5*g + 0*g = -57, 3*m + 3*g = 33. Calculate the lowest common multiple of 22 and m.
154
Let w(k) = -6*k - 3. Let h be w(5). Let v = -15 - h. Suppose 2*i + 5*b = 18, 4*i - 5*b - 3 = 3. What is the lowest common multiple of v and i?
36
Calculate the least common multiple of 12 and (-1 - 0 - 6/1)*-2.
84
Let y = -4362 + 69821/16. What is the common denominator of -17/9 and y?
144
Suppose -2*b - 4 = -8. Let w = -3 + 5. What is the least common multiple of w and (3 - b)*12 - -2?
14
Calculate the common denominator of ((-2)/(-16))/((-9)/774) and -103/42.
84
Let d = 7 + -2. Let a = 11 + -8. Suppose 16 = a*n + 1. Calculate the smallest common multiple of d and n.
5
Let r(v) = -v. Let i(g) = -16*g. Let l(k) = 2*i(k) - 36*r(k). Let j be l(-2). What is the common denominator of (-8)/(-22)*(-10)/j and -117/10?
110
Let q(w) = w**3 - 8*w**2 + 2*w - 10. Let g be q(8). Suppose 2*p = 5*l + 6, -p = -g*p - 5*l - 20. Let v = 5 + p. What is the least common multiple of v and 9?
9
Suppose 8*d + 8 = 9*d. Calculate the least common multiple of 4 and d.
8
Let o = -152/55 + 9281/990. Let j = -83/605 + 17161/1210. Let x = j + -2012/99. What is the common denominator of o and x?
18
Let f(t) = 3*t - 9. What is the smallest common multiple of f(7) and 14?
84
Let f = -24 + -9. What is the least common multiple of (-6)/2*44/f and 4?
4
Let b = -49 + 35. Calculate the common denominator of b/(-49) - (1 + 1) and -38/11.
77
Let r = 10616 + -127489/12. What is the common denominator of 1/26 and r?
156
Let l be (-14)/35 + (-1986)/10. Find the common denominator of -65/4 and l/(-18) - (8 + -5).
36
Let d = -7029/8 + 882. Find the common denominator of d and (0 - (-1)/(-5)) + 1108/(-360).
72
Suppose r - 2 = -3*w, -w - 54 = -3*r + 2*w. Suppose 3*g - 7 = r. Calculate the least common multiple of 11 and g.
77
Let k be 3 - (-131769)/30 - 3. Let m = k - 4388. What is the common denominator of 58/5 and m?
10
Calculate the lowest common multiple of 2 and (3 - 0) + -1 - -9.
22
Let w = 8/1049 + 72253/16784. What is the common denominator of 37/6 and w?
48
Let c be (-18)/56*(1 + 5). Let i = c + 21725/11214. Let n = i - -63139/16020. Find the common denominator of 75/4 and n.
20
Let q(r) = -r - 3. Calculate the least common multiple of q(-11) and 3.
24
Let l = 148/3 - 51/2. Calculate the common denominator of 39/5 and l.
30
Calculate the smallest common multiple of 6 and 24/14*42/12.
6
Suppose 3*b = -0*b + j + 47, b = -4*j + 7. Suppose 2*n - 46 = -0*n + 2*s, 0 = n + s - 17. What is the smallest common multiple of b*(1 + 3/(-9)) and n?
20
Let o be (-2)/(-1) - (1 + -4). Suppose -t + 0 = -o. Suppose -7 = -t*p + 13. Calculate the lowest common multiple of 18 and p.
36
What is the lowest common multiple of 4 and ((-40)/14)/(1/(-7))?
20
Let y(j) = -j**2 - 5*j + 2. Let x be y(-5). Suppose 0 = -5*b + x*b + 30. Calculate the smallest common multiple of b and 10.
10
Suppose 3*q = -3*w - 2*q - 658, -4*w = -q + 885. Calculate the common denominator of w/84 - 8/28 and (-1)/(-4) + 177/20.
60
Let a = 638 + -1213/2. Calculate the common denominator of a and 91/2.
2
Let k(s) = -2*s**2 + 8*s - 4. Let b be k(5). Calculate the lowest common multiple of 1/(-3) - 38/(-6) and 492/28 - 6/b.
18
Let o = 6 + -2. Let q = o - 0. What is the least common multiple of ((-6)/(-4))/(2/q) and 7?
21
Let n = 22 + -10. What is the smallest common multiple of (3 - 4)*-5 + -2 + 19 and n?
132
Suppose -2*w + 3*c = -c + 34, 0 = 3*c + 15. Let n(m) = m**3 + 8*m**2 + 5*m + 3. Let o be n(-6). Let i = w + o. Calculate the least common multiple of 8 and i.
72
Let k(b) = -b**2 - 4*b + 4. Let l be k(-5). What is the common denominator of -56/5 and (4/(-8))/(l/77)?
10
Let l(t) = 13*t**2 + 2*t + 1. Let y be l(-1). Suppose 0*k + 3*k - y = 0. What is the least common multiple of k and 4?
4
Find the common denominator of 83/10 and (-4)/(-156)*63/(-6).
130
Let y be 2 + (-714258)/(-40) + 1. Let a = y - 17864. Calculate the common denominator of a and -9/4.
20
What is the common denominator of ((-254)/9)/(0 + 4) and -38/15?
90
Let i(b) = -b**3 + 4*b**2 - 4*b + 2. Let j be i(3). Calculate the least common multiple of (-9)/((-3)/(4 + j)) and 4.
36
Let i be ((-968)/(-30))/((-1)/48). Let b be 446/(-1)*(-28)/(-8). Let c = i - b. What is the common denominator of 46/11 and c?
55
Let h = 5 - 3. Let b be (-3)/(-4) + 214/(-8). What is the lowest common multiple of h and b/(-7) - (-20)/70?
4
Let n(i) = 4*i**3 + 2. Let j be n(-2). Let h be 12/j + (-298)/5. What is the common denominator of (1/(-4))/(2/h) and -26/7?
14
Let x be 30544/10 - (-6)/(-3). Let h = x + -3043. Find the common denominator of -119/6 and h.
30
Let a(n) = 3*n**2 - n + 2. Let i = -27 - -47. What is the smallest common multiple of a(2) and i?
60
Calculate the least common multiple of (-128)/(-20) - 2/5 and 16.
48
Suppose -a - 5*p = 9, a - 4*a = -3*p - 45. Calculate the least common multiple of 8 and a.
88
Suppose -2*r + 8 = 2*r. Suppose -11 = d - r*d. What is the least common multiple of 1 and d?
11
Let p = 3/101 + -1539/808. What is the common denominator of 1 + -1 + (-66)/(-28) and p?
56
Let n(x) = x**3 - 11*x**2 - 3*x + 13. Let y be n(11). Let u be ((-8)/y)/(8/(-75491)). Let k = u - -3776. Find the common denominator of k and 85/2.
20
Suppose -4*d + 2*d + 2 = 0, -2*o - 15 = -3*d. Let y = -1 - o. Suppose y*m - 40 = -5*s, 10*m = 5*m + 5. Calculate the least common multiple of s and 4.
28
What is the smallest common multiple of 10 and (2 - 39/18) + (-485)/(-30)?
80
Let g(i) = -2*i - 9. Let d(r) = r**3 + 7*r**2 - 9. Let o be d(-7). Calculate the smallest common multiple of g(o) and 8.
72
Calculate the common denominator of -65/18 and ((-6)/14)/(4 - (-52)/(-14)).
18
Let c = 5 + -20. What is the lowest common multiple of 6 and (-54)/8*40/c?
18
Let s(u) = -u**2 - 3*u - 4. Let y be s(-3). Let n = 3 + y. Find the common denominator of 65/4 and n/(-3)*(-36)/14.
28
Let r = -57/2 - -30. Let o = -2778 + 8263/3. What is the common denominator of o and r?
6
Suppose 92 = -v + 5*v. Suppose 2*m - 175 = -5*f, 2*m = f - 0*m - v. Calculate the common denominator of (117/(-4))/(f/2) and 45/8.
88
Let q = 76303906273/2630 - 29012895. Let s = q - 5/263. What is the common denominator of s and 55/7?
70
What is the common denominator of 15/20 + (-107)/8 and 85/32?
32
Let z = 15574/15 - 6157/6. Suppose 7*i + 88 = 3*i. Find the common denominator of 3/i*(-5)/3 and z.
110
Suppose -6*b + b = -35. What is the least common multiple of 2 and b?
14
Let s = 3/611 + -22616/1833. Let z be 2/4 - (-12231)/60. Let q = z - 993/5. Find the common denominator of q and s.
12
Let n = 133603/126 - 7380/7. Find the common denominator of 73/27 and n.
54
Let r = -13 - -18. Let q = -6 - -8. Calculate the smallest common multiple of q and r.
10
Let q = -2/103 - 923/206. Calculate the common denominator of (-1 + (-59)/9)*-1 and q.
18
Suppose 0 = -4*l + 8, h - 2*l = 2*l - 5. Suppose -4*a + 13 = 1, 0 = -4*w - 2*a + 94. Calculate the smallest common multiple of w an