w(t) = t**3 + 9*t**2 - t + 11. Let c be ((-15)/10)/((-1)/(-6)). What is the smallest common multiple of w(c) and 18?
180
Let s = 14423/27320 + -2/683. What is the common denominator of -17/10 and s?
40
Suppose -12*r + 13*r = 4. What is the smallest common multiple of 9 and r?
36
Suppose -3*i + 8 = -i. Suppose -i*f + 7 = -1. Calculate the least common multiple of 18 and f.
18
Let b be (-48)/22 + 2/11. Let n = -186721/14 - -13330. What is the common denominator of n and b + (-4)/((-168)/(-135))?
14
Suppose -9 = -3*r - 36. Let w = r + 15. What is the lowest common multiple of w and 9?
18
Let s(w) = w**2 + 8*w + 5. Suppose -2*l = 3*l + 30. Let x be s(l). What is the common denominator of 0 - (749/(-6))/x and -27/5?
30
Let v = 55/16 - 443/80. Calculate the common denominator of v and -13.
10
Suppose -4*s + 1769 - 9133 = 0. Let m be (-68)/15*s/(-56). Let f = m + 451/3. Calculate the common denominator of -47/8 and f.
40
Suppose 4*o + 0*o - 32 = 0. Let s = 22115/7 + -3167. Find the common denominator of s and (2/o)/((-3)/(-45)).
28
Let s(w) = -4*w - 2. What is the least common multiple of 12 and s(-5)?
36
Suppose -q - 3 = 0, 0 = w + w + 5*q - 5. Let c(u) = -u - 8. Let h = -1 - 8. What is the least common multiple of c(h) and w?
10
Let x(c) = 6*c - 12. What is the lowest common multiple of x(5) and 8?
72
Let f(m) = m**3 + 8*m**2 + 7*m + 5. Let q be f(-7). Let i = 0 - q. Find the common denominator of (-3 - -11)*(-6)/i and -4/7.
35
Suppose -6*i + 48 = -0*i. Calculate the least common multiple of i and 11.
88
Let l = 1277/7 + -183. Let w = -241/33 - -51/11. Calculate the common denominator of l and w.
21
Let i = -48/103 + -4457/824. What is the common denominator of i and -65/6?
24
Suppose 2*b + 2 = 8. Suppose b = -s + 5. What is the least common multiple of 1 and s?
2
Let v be (-2)/2 - (-1636)/504. Let o = v + 1/252. Find the common denominator of o and -17/30.
60
Let b = 24 + -21. What is the least common multiple of b and 8?
24
Calculate the common denominator of -77/12 and 123*(-3)/(-360) - -2.
120
Calculate the smallest common multiple of (-2)/(-4 - (-8)/(1 + 3)) and 11.
11
Let y = 17526 - 385467/22. What is the common denominator of y and -105/22?
22
Let a = 12 - 8. What is the least common multiple of a and 34?
68
Let p = -692609/7 - -99114. Let u = 174 - p. Calculate the common denominator of u and -35/3.
21
Suppose 19 = 5*a - 26. What is the least common multiple of 3 and a?
9
Suppose 4*u - 13 = 59. Let q be -4*-2*(-2)/(-4). Suppose -3*v - q*y = v - 64, 3*y - 8 = -v. What is the least common multiple of u and v?
180
Suppose 0 = 2*f + 4*p, 4*f + 5*p = -0*p + 15. What is the lowest common multiple of f and 8?
40
Let y(a) = a**2 + 7*a - 9. Let d be y(-9). Find the common denominator of (15/d)/((-1)/(-11)) and 2 - 21*(-2)/10.
15
Let m = 1607/5 - 155899/485. Let l = 259/776 - m. What is the common denominator of -35/8 and l?
8
Let b = 3 - -1. Suppose -26 - 6 = -b*x. Find the common denominator of x and 81/2.
2
Suppose -324 = -4*b - 80. Let j = b - 37. Calculate the common denominator of 81/8 and ((-2)/j)/((-6)/(-128)).
72
What is the common denominator of 11/3 and (-767)/78 + (-1)/1?
6
Calculate the common denominator of (3/12)/(2/(-316)) and 130/(-32)*((-27)/(-15))/(-3).
16
Let v(z) = 64*z**3 + 2*z**2 + 4*z + 3. Let p be v(-2). Let l = p - -3540/7. Find the common denominator of l and 49/9.
63
Let g = 728 + -395. Calculate the common denominator of -1/5 and g/6*1/(-6).
20
Suppose 0*c + 2*c - 106 = 0. Let k be 60*1 - (1 + 2). Suppose -5*i + c = -k. What is the least common multiple of 18 and i?
198
Let g(j) = j**2 + 7*j - 13. Calculate the least common multiple of g(-9) and 15.
15
Let v = 23 - 21. Let d = 25 - 15. What is the smallest common multiple of d and v?
10
Let w = 19 - -2. What is the lowest common multiple of -3 + 0/1 + w and 22?
198
Suppose 0 = -5*p + 105 - 20. Suppose -3*v = -5*u + v + p, 16 = 2*u + 3*v. Calculate the least common multiple of 2 and u.
10
Suppose -5*i = -i + 4*x - 124, 0 = -3*x - 15. Suppose 0*s = -3*s + i. Calculate the smallest common multiple of 22 and s.
132
Let b(a) = -a**2 + 2*a + 2. Let o(p) = p**2 - 2*p - 2. Let t(z) = -3*b(z) - 2*o(z). Calculate the smallest common multiple of 10 and t(-4).
110
Let a be ((-18)/(-12))/(2/4). Suppose w = a*z + 2*w, 0 = z - 5*w. Suppose 6 = q + p - z, 22 = 3*q - p. What is the least common multiple of q and 7?
7
Let b = 337021/153612 - -2/4267. Calculate the common denominator of b and 35/44.
396
Let j = 13051/858 + -790/39. What is the common denominator of j and (-1)/(-14) - -1 - -1?
154
Let d = 6/1693 + -106755/27088. Let i be 10/(-24)*(-1106)/(-120). Let b = i + d. Find the common denominator of b and 143/6.
18
Let r = -20/249 - -5206/747. What is the common denominator of r and -39/10?
90
Let q = -3 + 2. Let f be ((-57295)/6)/(-7) - q. Let b = f - 1347. Find the common denominator of -55/3 and b.
6
Suppose -n - 3*n = -40. What is the least common multiple of 15/(-4)*(-2 - (-10)/(-15)) and n?
10
Let r(a) = 3 - 8 + a + a - 1. Calculate the lowest common multiple of 18 and r(6).
18
Let v = -6 + 8. What is the lowest common multiple of v and 2 + -3 - (-6 + 0)?
10
Suppose 5*x - 99 + 21 = 4*m, -4*m + 12 = 0. What is the smallest common multiple of 3 and x?
18
Let s(u) = 2*u - 6. Let q be (0 + 3)/((-12)/(-32)). Calculate the least common multiple of s(q) and 2.
10
Suppose 0 = -3*v + v + 14. Let r = v - 5. Suppose -r*l + 7 = -15. Calculate the lowest common multiple of l and 10.
110
Let v(q) = -475*q - 2. Let s be v(-2). Suppose 0 = -4*i - 4*a + s, 5*i + 0*a = 4*a + 1194. Calculate the common denominator of -53/2 and (1 + i/12)/(-1).
6
Suppose i - 4 - 3 = 0. Calculate the lowest common multiple of 2 and i.
14
What is the common denominator of -37/33 and 10/84*(0 - -8)?
231
Let v(i) be the third derivative of -11*i**4/4 + i**2. Let m be v(1). Find the common denominator of 37/8 and m/(-4)*2/42.
56
Suppose 0*t + 5*t = -25. Suppose -o - o + 34 = 0. Let u = o - t. Calculate the least common multiple of u and 18.
198
Suppose 3*o - 32 = -i, 0*i + 2 = i. What is the least common multiple of o and (-2)/(-6) - 5/(-3)?
10
Let f(j) = j**3 + 8*j**2 - 4*j + 10. Let i be (0 - -17) + 3/(-3). What is the common denominator of f(-8) and (-1 + 7)*(-58)/i?
4
Let p be 44/2*(1 + 0). Let y(s) = -7*s**3 + s**2 + 2. What is the least common multiple of y(-1) and ((-2)/(-4))/(1/p)?
110
Suppose -2*w + 4 = 3*p, -w = -0*p + p - 2. Suppose 6*q = q. Suppose 2*t - 14 + 0 = q. Calculate the least common multiple of w and t.
14
Let q = -10 - -7. Find the common denominator of ((-58)/16)/(q/6) and 13/20.
20
Suppose 4*g - 9 = i - 61, 5*g = -3*i + 88. What is the common denominator of 3/i*(1 - -177) and 67/8?
24
Suppose 6 = 3*t - 39. Let b be (9/(-24))/(5/2). Let o = b - -107/180. What is the common denominator of o and t?
9
Let b be (0 - 0)/(4 + -3). Suppose 0 = 5*s, b*f = f + 3*s - 32. Find the common denominator of ((-2)/(-12))/((-2)/f) and 25/4.
12
Let y = 9 + -8. Calculate the smallest common multiple of 3 and y/(-1*3/(-33)).
33
Let y = -9306 - -167455/18. Calculate the common denominator of y and -69/112.
1008
Let r = -27/8 + 373/24. Calculate the common denominator of (-645)/36 + (-4)/(-6) and r.
12
Let q be 2 + 55903/107349*3199. Let z = q + -2/9759. Let r = 1666 - z. What is the common denominator of r and 5/8?
88
Let l = 2 - -8. Suppose m - 2 = 6. Calculate the smallest common multiple of m and l.
40
Suppose -u + 6*u = 15. Calculate the lowest common multiple of u/(-3) - 21/(-3) and 11.
66
Let l = 537403/18 - 29864. What is the common denominator of l and 388/88 + 1 + -1?
198
Suppose 4*u = -0*u - 20. Calculate the common denominator of -47/12 and (-363)/40 - 1/u.
24
What is the common denominator of (3/(-46))/(3/78) and -51/10?
230
Let n(m) = -4*m - 14. What is the lowest common multiple of 4 and n(-5)?
12
Let d(m) = 2*m. Let l(u) = 4*u - 7. Calculate the smallest common multiple of d(3) and l(3).
30
Let t(a) = a + 2. Let u be t(0). Suppose 0*v - 2*v + 5*m = -3, -4*v - u*m = -18. Calculate the smallest common multiple of v and 18.
36
Suppose 5*v + 4 = 6*v. Suppose 3*m + 157 = -0*m + v*r, 0 = -5*r + 20. Calculate the common denominator of 37/2 and m.
2
Calculate the lowest common multiple of 16 and 7/(196/(