6*j**2 + 4*j + 3. Let b be v(5). Let y = b - -79757247/16. Let h = 4955 - y. Calculate the common denominator of h and -43/8.
16
Let y(s) = -s**2 + 2*s - 1. Let j be y(1). Suppose 16 = -j*b + 2*b. What is the common denominator of -65/14 and (-581)/(-110) + b/(-44)?
70
Suppose 0 = -0*q + 4*q - k - 28, 2*q - 2*k = 20. Calculate the least common multiple of 0/(-1) + (8 - 2) and q.
6
Suppose 4*s = 5*u + 32, -12 = -3*s + 3*u + 12. Calculate the smallest common multiple of s and 12.
24
Calculate the common denominator of (-2)/5 - (-462)/480 and -97/16.
16
Let c = -15987 - -9514. Let h = 58330/9 + c. Find the common denominator of h and 79/4.
36
Let r = -15 - 12. What is the lowest common multiple of (-60)/r + 8/(-36) and 1?
2
Suppose -2*h - 8 = 0, 5*f + h = 24 + 7. Calculate the least common multiple of f and 9.
63
Let j = -1 + 3. Let c = 0 + j. Calculate the smallest common multiple of 5 and c.
10
Let y = 155 - 130. Calculate the least common multiple of 45 and y.
225
Let w be (1/(-2))/(1/18). Calculate the common denominator of -93/2 and (-50*9/(-12))/w.
6
Suppose 8*a - 4 = 7*a. What is the smallest common multiple of a and 11?
44
Let f(i) = -i**2 + 7*i - 2. Let c = -152 - -174. Calculate the lowest common multiple of f(6) and c.
44
Let k(d) = d + 2. Let q be k(2). Let p be (q/6)/(581/(-3)). Let x = -3075/1162 - p. Calculate the common denominator of x and -49/6.
42
Let v = 2417/1166 - 252/53. Calculate the common denominator of v and (-374)/55*(-7)/(-4).
110
Let n(f) = -f**3 + 9*f**2 - 14*f + 17. Let b(v) = -v**3 + 8*v**2 - 14*v + 18. Let k(q) = 4*b(q) - 5*n(q). What is the lowest common multiple of k(12) and 6?
66
Calculate the common denominator of -143/18 and 1/4 - (-781)/(-396).
18
Let t = -2 + 4. What is the lowest common multiple of t and 18?
18
Let a(x) = -x**3 + 7*x**2 - x - 12. Calculate the lowest common multiple of a(6) and 16.
144
Let w(r) = -r**3 - 3*r**2 + 2*r - 4. Let y be w(-4). Suppose b - t = 6, -y*t + 0*t = 0. Calculate the least common multiple of 9 and b.
18
Calculate the common denominator of (-77)/(-105)*(-6 - 0) and -27/19.
95
Let v(c) = 3*c + 3. Let u be v(-5). Let i = -10 - u. What is the lowest common multiple of 8 and i?
8
What is the smallest common multiple of 14 and (-244)/(-11) - (-1 - (-78)/66)?
154
Calculate the common denominator of (1 - 940/(-144)) + 1/(-4) and 73/20.
180
Suppose 2*c - 1 = c. Let k be (-1 + -2)*1/(-3). Let t = c + k. What is the lowest common multiple of 10 and t?
10
Calculate the lowest common multiple of 9 and ((-12)/1)/(-1) + -7 + 11.
144
Suppose 5 = 17*v - 97. Suppose -2*u = -4*u + 4. Calculate the least common multiple of u and v.
6
Suppose -5*d + 24 = -3*d + b, 4*d = -4*b + 52. Let p = d + 2. What is the least common multiple of 10 and p?
130
Suppose -4*v - v = -2*t - 40, 4*t - 20 = 0. Let z be (12/v)/((-3)/(-75)). Let c = z - 16. What is the smallest common multiple of 16 and c?
112
Let g = -2463/215 - -11/43. Let z = -23837/6 - -3957. Calculate the common denominator of g and z.
30
Let p(b) = -22*b. Let r = 15 - 13. Suppose -2*j + 2*c - 3*c + 37 = 0, 0 = -2*j - r*c + 34. Calculate the smallest common multiple of p(-1) and j.
220
Let x(y) = -y**2 + y + 2. Suppose -c + 2*l + 2 - 12 = 0, 0 = 2*c + 2*l - 4. Let o be x(c). Calculate the least common multiple of 2/3*(o - -7) and 22.
22
Let n(r) = -r**3 - 4*r**2 - 3*r + 2. Let p be n(-3). Calculate the common denominator of 46 and (-4)/(36/(-15) + p).
1
Let z = -3 - -1. Let s(j) = -7*j - 2. Let n be s(z). What is the lowest common multiple of 6/8 - (-111)/n and 12?
60
Let f = 43/15 + 24/5. Find the common denominator of 14/(-35) + 694/(-90) and f.
9
Let d(w) = w**2 + w + 1. Let l be d(-1). Let g = -258097/41980 + -4/2099. What is the common denominator of g and (l*83)/(-2 + 8)?
60
Suppose 0 = -y - 8 - 4. Let f = 10 + -12. What is the common denominator of 27/4 and (-6)/f + 285/y?
4
Let m(r) = r**3 - r**2 - 2*r + 12. What is the least common multiple of m(0) and 6?
12
Let v(c) = 2*c**2 + c + 1. Let f be v(-1). Suppose -f*i + 4 = -12. Suppose 4*k - 36 = k. Calculate the smallest common multiple of i and k.
24
Suppose -2*j + 14 = -j. Calculate the lowest common multiple of 4 and j.
28
Suppose 0 = -4*j, -j - 11 = 2*h - 3. Let y(a) = a**3 + 14*a**2 + 13*a + 13. Let r be y(-13). Let m = r + h. Calculate the smallest common multiple of 1 and m.
9
Let a = 203 - 182. What is the smallest common multiple of a and 7?
21
Suppose 3*c + 4 - 52 = 0. Let p = -8 + c. Suppose 0 = -4*a + 5*a - 11. Calculate the lowest common multiple of p and a.
88
What is the lowest common multiple of 92/14 - 1 - 3/(-7) and 30?
30
Let d = -103/22 + -3/44. Find the common denominator of d and -89/6.
12
Suppose 0 = 3*p - 2*n + 6*n - 56, 5*p - 95 = -5*n. Calculate the least common multiple of 44 and p.
220
Suppose -14*i = -14 - 28. Calculate the smallest common multiple of i and 3.
3
Let r = -24 + 40. What is the smallest common multiple of r and 16?
16
Calculate the common denominator of -117/28 and (-714)/245*(-15)/12.
28
Suppose -3*w + b = 18858, -4*w - 1014 - 24130 = -5*b. Let y be (-150580)/24 - (-3 + -1). Let o = y - w. Find the common denominator of -63/4 and o.
12
Let s = -11/6835 - 178879/123030. Find the common denominator of -8/3 and s.
90
Let p = 5 + -7. Let o = 0 - p. Calculate the smallest common multiple of (-2 - -4) + o + 0 and 11.
44
Let q = 47 - 38. What is the smallest common multiple of q and 30?
90
Calculate the common denominator of (-1696)/56*(-2)/(-8) and -69/10.
70
Suppose -t + 19 - 9 = 0. What is the least common multiple of t and 8?
40
Calculate the least common multiple of (0 - -12) + 2 - 3 and 4.
44
Let c = -3167/2 - -1624. Let o(w) = -w**2 + 5*w + 1. Let v be o(4). What is the common denominator of (-2)/v - 778/180 and c?
18
Suppose -f + 81 + 11 = 0. Calculate the least common multiple of f and 20.
460
Let g = 833 + -1629/2. Let z = 29912/11 + -2723. What is the common denominator of z and g?
22
Let p = -4801/294 + -1/294. Let o = 7 - 5. What is the common denominator of 57/o*(-18)/45 and p?
15
Let w = 1/6671 + 1007303/120078. Find the common denominator of w and 33/20.
180
Let s(h) = -h**2 - 6*h - 2. Let f be s(-6). Calculate the common denominator of 41/9 and (f/28)/((-4)/376).
63
Let s = -66 - -90. What is the smallest common multiple of s and 20?
120
Suppose 6*y = 3*y - 3. Let j be 3/(-21)*(y + 122). Let d = j - -18. What is the common denominator of d and 44/9?
63
Let v = 4173/4 - 1028. Find the common denominator of -27/11 and v.
44
Let p = 39193/20 - 1959. Let d = -138057 - -409789/3. Let c = d + 69827/48. Find the common denominator of c and p.
80
Let m(p) = p - 3. Let w be m(0). Let h be (-5 + 11)*w/(-2). Calculate the common denominator of 190/(-16) - h/(-3) and -55/8.
8
Find the common denominator of (-111)/45*(-20)/36 and -24/7.
189
Suppose 4*c + 8 = 2*t, 2*t + 0*c - 22 = -3*c. Calculate the lowest common multiple of t and 24.
24
What is the smallest common multiple of (-92)/(-15) - 14/105 and 11?
66
Let w(p) = -p**2 + 9*p + 1. Let y be w(9). Suppose 5 = j + y. What is the smallest common multiple of 30 and j?
60
Let f(p) = p - 2. Let k be f(11). Find the common denominator of 57/2 and (-18)/(-1) - 3/k.
6
Calculate the common denominator of (-3)/12*(-412)/(-20) and 4/(-2) + (-423)/(-42).
140
Suppose 0 = 3*c - 4*c. Calculate the smallest common multiple of 5 and c + 4*1/1.
20
Suppose -8 - 12 = -4*o. Suppose -d - 2 - 8 = -3*r, -4*r + 6 = -o*d. Suppose -h + 3 + 5 = 0. Calculate the smallest common multiple of d and h.
8
Suppose 0 = -2*z - 3*z + 1485. Let g = z + -1492/5. What is the common denominator of g and (-22)/6 - 0/2?
15
Let x be (2 + 2 + 0)*3. Let s = x + -7. Suppose 0 = -s*f + 34 + 26. Calculate the least common multiple of 22 and f.
132
Let p(q) = -q**2 - 10*q + 2. Suppose -4*v - 9 = 5*w - 46, 2*v - 5*w = 11. Calculate the lowest common multiple of p(-9) and v.
88
Suppose j + j - 3*r = 27, 9 = 3*r. Let m = j - 10. What is the smallest common multiple of 1 and m?
8
Let z(f) = -9*f - 4. Let w be z(-6). Suppose 9*k - w = 4*k. What is the lowest common multiple of k and (-54)/15*10/(-2)?
90
Let n = 353093/67617 + 2/7513. Find the common denominator of n and 0/(-1) - 19/(-8).
72
Let y be ((-11)/2)/(4/8). Let k = y - -33. What is th