 y**3 - 10*y**2 + 11*y + 3. Let z be g(9). Let w = z + -19. What is the lowest common multiple of 7 and w?
14
Suppose 78 = z + 2*z. Let s(x) = -x**3 + 21*x**2 - 38*x + 10. Calculate the least common multiple of z and s(19).
130
Let f = 56 - 9. Calculate the common denominator of (2 - 4)/(6/f) and 13/2.
6
Suppose 3*a = 6*a - 15. Suppose 2*l + 12 = a*c, -2*l = 5*c + l - 7. Suppose -3 = c*d - o, -2*o + 12 = -3*d + o. Calculate the least common multiple of 6 and d.
6
Let m be 1 + (-6)/2 + 2. Let l be (m/(-1))/((-2)/2). Suppose -8 = -l*g - g. Calculate the least common multiple of g and 18.
72
Suppose 4*m - 12 = m + o, 0 = -2*m + 3*o + 1. Suppose -m*x = -6 - 4. What is the smallest common multiple of 4 and x?
4
Let c = -177959/16 + 11117. What is the common denominator of 55/6 and c?
48
Let y(l) = l**3 - 3*l**2 - 5*l - 4. What is the smallest common multiple of 21 and y(5)?
21
Let x be ((-12)/(-16))/(1/12). Let l(g) = x + 3*g**2 - g**2 + 5*g**2 + 6*g + g**2 + g**3. Calculate the lowest common multiple of l(-7) and 12.
48
Suppose 0 = -t + 3*t - 12. What is the lowest common multiple of 27 and t?
54
Calculate the common denominator of (5/25)/((-8)/250) and 145/6.
12
Let a(o) = 21*o**2 + o + 2. Let z be a(2). Suppose 0 = -2*h + 6*h - z. Calculate the smallest common multiple of h and 8.
88
Let c be (-4 + 0)/((-2)/5). Find the common denominator of 1/5 - 307/c and 77/10.
10
Let c = -6 + -2. Let f = 8 + c. Suppose f = -n - n + 4. Calculate the smallest common multiple of 12 and n.
12
Let v(j) = -j**2 + 8*j + 10. Let f be ((-12)/8)/(3/(-16)). What is the smallest common multiple of 1 and v(f)?
10
Let d = 134 - 678/5. What is the common denominator of d and 41/7?
35
Let a be 5 - (-2 + (-3)/(-1)). Suppose a*j - 5 = 3*j. What is the least common multiple of j and 1?
5
Let a be (2/4)/((-1)/(-4)). Suppose -3*l + 45 = a*l. What is the smallest common multiple of 8 and l?
72
Let b = 170/31 - -3086/93. Let l = -67/2 + b. Find the common denominator of -26/3 and l.
6
Let m(q) = -7*q - 2. Let p = 5 + -11. Let j = 1790/11 + -163. Calculate the common denominator of m(p) and j.
11
Let r(t) = -2*t**3 + 3*t**2 - 2*t + 3. Let y be r(2). Let m be 4/(-10) - 32/y. Suppose -m*x + x = -80. Calculate the least common multiple of x and 14.
112
Suppose -i = 3*r, -2*i + 7*i = 0. Suppose 4*m + m - 95 = r. Suppose -5*z + 61 = -m. Calculate the least common multiple of 20 and z.
80
Let c = -1587/2 - -758. Let x = -10592/8635 + -1/1570. What is the common denominator of c and x?
22
Let v = -5 - -27. What is the lowest common multiple of v and 8?
88
Let s = 7 - 1. Suppose -35*a + 8 = -33*a. What is the smallest common multiple of a and s?
12
Let c(x) = -x**3 - 4*x**2 - 3*x - 3. Let v be c(-3). Let u = v + -7. What is the least common multiple of (-155)/u + (-2)/(-4) and 14?
112
Let y = 6 - 0. Let r = -7 - y. Let p = r + 18. Calculate the smallest common multiple of p and 8.
40
Let s(p) = -6*p - 4. Let b be s(4). Calculate the common denominator of -39/11 and ((-21)/66)/(2/b).
11
Let i be (0 + 1)/(2/(-16)). What is the common denominator of -41/2 and 2/i + (-105)/(-56)?
8
Suppose -32 = -3*b + 85. Let h be (-3042)/3885 - (-4)/14. Let x = h + -26/37. Find the common denominator of x and b.
5
Let o = 10 + 0. Calculate the least common multiple of 7 and o.
70
Let s = 14 + -9. What is the least common multiple of s and 11?
55
Suppose 0 = -4*g + 3*t + 23, 2*t + 3 = 5*g - 31. Let y(r) = 9*r**2 + 1. Calculate the least common multiple of y(1) and g.
40
Let d(n) = 2*n - 1. Let u be d(-4). Let w = 7 - u. Suppose -13 = 10*r - 193. Calculate the smallest common multiple of r and w.
144
Let h(z) = 3*z**2 - 12*z + 2. Let q be h(5). Suppose 107 - q = 5*r. What is the least common multiple of r and 2?
18
Let f(d) = 19*d**2 + 2*d + 1. What is the smallest common multiple of ((-9)/(-18))/((-2)/(-8)) and f(-1)?
18
Let w(u) = 2*u**3 - 3*u**2 + 3*u - 3. Let g be w(2). Suppose p = g*p - 48. Calculate the least common multiple of p and 10.
40
Let o be 9/15 - 266/10. Let w = -4 - o. What is the smallest common multiple of w and 22?
22
Suppose 4*f + 96 = 16*f. Calculate the least common multiple of f and 43.
344
Suppose -3*y + 0 = -15. Let a = y - -1. What is the lowest common multiple of a and 16?
48
Let h be 107/4 - (-20)/16. Let w be 24 + (2 - 1) - 1. What is the common denominator of -19/16 and (10/w)/(h/315)?
16
Let t(d) = 2*d**2 - 14*d - 9. Let i be t(11). Suppose -5*o = -i + 24. What is the least common multiple of 6 and o?
66
Suppose -l = -1 - 1. Suppose -2*k = l*k - 8. Calculate the smallest common multiple of 3 and k.
6
Suppose -l - 2*u + 6 = 20, 2*l = -u - 22. What is the least common multiple of 22 and l/(-6) + (-1)/(-3)?
22
Let o(z) = z**2. Calculate the smallest common multiple of o(2) and 6.
12
Let r = 10 + 0. Calculate the smallest common multiple of r and -18*(-1 - (-1)/2).
90
Suppose -10 - 43 = -3*m + 5*v, -3*v - 56 = -4*m. What is the smallest common multiple of m and 2?
22
Let i = 68 + -63. Find the common denominator of i and 68/9.
9
Let r = 27 - 15. What is the smallest common multiple of 4/(-14)*(-1 - 6) and r?
12
Let m(h) = -269*h**3 + 2*h**2 + 3*h + 2. Let i be m(-1). Calculate the common denominator of i/140*4/(-6) and -33/17.
119
Let h = -3 - -9. Calculate the common denominator of ((-72)/22)/(4/h) and (-10 + 0)*(-18)/(-32).
88
Let o = 1553/4380 - 1/219. Find the common denominator of o and (18/(-28))/(2/22).
140
Let d(h) = -2*h - 13. Calculate the least common multiple of 6 and d(-12).
66
Find the common denominator of -39/2 and (43/(-20))/((-3)/(-3)).
20
Suppose 0 = 5*v + 4 - 34. Calculate the smallest common multiple of 14 and v.
42
Let f(u) = u**3 + 7*u**2 + 5*u - 7. Let k be f(-6). Let s be ((-8)/(-2306) - k) + -1. Let i = s - -56457/11530. Calculate the common denominator of i and 17/12.
60
Suppose -5*k - 3*l + 5*l + 45 = 0, 33 = 4*k - l. Let w = -285/136 + 42/17. Find the common denominator of w and (3/36)/(k/497).
24
Let c = -2226 - -11171/5. Let b(z) = z. Let i be b(1). Calculate the common denominator of c and 12*(i - 2/1).
5
Suppose -5*f - 11 - 13 = -4*u, 5*u - 2*f = 13. Suppose -5*m = -9 - u. Let k = -21 - -22. What is the lowest common multiple of m and k?
2
Let p be 114/15 - 4/(-10). Let o = p + -8. Suppose -2*d + 56 - 12 = o. Calculate the smallest common multiple of 12 and d.
132
Suppose 2*d = 1 + 19. Let o be d + 0/(-3) + -2. Suppose -o = 3*s - 26. Calculate the least common multiple of 14 and s.
42
Let s be (-46622)/(-4)*(-1)/914. Let b = -49/135 - -22258/61695. Let d = b - s. Find the common denominator of 6/5 and d.
20
Let a be ((-24)/9)/((-6)/27). Let w = a - 10. Let m(n) = -n**2 + 4*n + 3. What is the lowest common multiple of m(3) and w?
6
Suppose 0 = 5*y - 40. What is the common denominator of (-17)/y - 3 - -2 and 3/8?
8
Let o(k) be the first derivative of -k**4/2 - 5*k**3/3 - 3*k**2/2 + 2*k - 5. What is the least common multiple of o(-3) and 16?
80
Calculate the smallest common multiple of 3 and (-2 - (2 + -1))*-1.
3
Suppose -4*t + 26199 = -t. Let j be (122189/(-28))/(2/(-4)). Let n = j - t. Find the common denominator of n and -61/6.
42
Let u = 7/78 - 1003/312. What is the common denominator of u and (-4)/(-10) - (-444)/(-110)?
88
Let v = -15 + 9. Let g = 1273/7 + -6595/42. What is the common denominator of 94/v*1/2 and g?
6
Suppose 3*m + 5*t = 49, m - 2*t = 4 - 6. What is the lowest common multiple of m and 9?
72
Suppose -2*z - 1 = j, 25 - 5 = 5*j + 5*z. Suppose -2*v = -3*k - 14, 2*v - 25 + j = 4*k. Let u = v + 0. What is the smallest common multiple of u and 11?
44
Let i = 14608 + -394484/27. Calculate the common denominator of i and -10/3.
27
Calculate the common denominator of 91/70 - (-8)/(-2) and -101/6.
30
Let p = 8 + -4. Suppose 0*j - 5*j - 3*q = -28, 10 = 3*j - 5*q. Let v = -2 + j. What is the lowest common multiple of v and p?
12
Suppose 1 = 3*r - 23. Let y(v) = v**2 + 8*v - 5. Let l be y(-9). What is the least common multiple of 6*((-8)/12 + l) and r?
40
Let c(a) = 5*a**3 - a**2 - a + 1. Calculate the smallest common multiple of 1 + (1 - 0) + 16 and c(1).
36
Let c = -42 - -51. What is the lowest common multiple of c and 8?
72
Let z(g) = 19*g**2 - g. Calculate the lowest common multiple of z(1) and 10.
90
Let w(p) = 0 + 0 + 25*p - 26*p. What