*j + 3*r = -0*j + 982, -5*j - 2*r - 2474 = 0. Calculate the common denominator of (2 + j/(-20))/6 and 13/2.
20
Let p(m) be the first derivative of -m**4/2 - m**3/3 + m**2 - m + 1. Calculate the least common multiple of 4 and p(-2).
28
Calculate the common denominator of -151/12 and (1 - (-57)/(-36)) + -2.
12
Suppose -23 = 3*g - 9*b + 4*b, g - 7 = -2*b. Let w be ((-636)/16)/(g/(-4)). Find the common denominator of 20/9 and 4/(-10)*w/6.
45
Let n be (-14278)/18 - (-1)/3. Let b = n - -798. What is the common denominator of 4/5 and b?
45
Calculate the common denominator of -55/14 and (-24)/36 + 118/(-12).
14
What is the smallest common multiple of 19/3 + 1/(-3) and 4/4 + 0 - -1?
6
Suppose -4*z = -z - 18. Let a = 22 + -37. What is the smallest common multiple of (-5)/(a/(-6)) + 12 and z?
30
Let t = -58 - -70. What is the smallest common multiple of t and 11?
132
Calculate the common denominator of -6*(-1)/(9/24) and ((-2)/16)/(1/101).
8
Let g = 9 + 0. Let n = -8 + g. Calculate the common denominator of n and ((-16)/(-36))/(4/(-150)).
3
Let c be (-4697)/(-6268) - 12/16. Let v = c + -75211/7835. Find the common denominator of -73/8 and v.
40
Let u(y) = -y**2 + 7*y + 8. Let i be u(8). Suppose i = -n + 16 - 0. Calculate the least common multiple of 20 and n.
80
Let z be (3 - 5)/((-2)/(-8)). What is the common denominator of -14 and 37/(-18) - (-4)/z?
9
Let k be 1*2 + (-5 - -5). What is the common denominator of (0 - k/(-12))*31 and -37/11?
66
Let z(v) = 14*v + 1. Let i be z(1). Suppose 5 = 2*d - i. What is the lowest common multiple of d and 8?
40
Suppose 4*w + 3*i = 68, -i = 4*w - 116 + 40. What is the smallest common multiple of 40 and w?
40
Let a be (-2 - 4)*(-3 + 4). Let b = -19 + a. Calculate the common denominator of 39/2 and 998/(-180) + 10/b.
18
Let b = 2/101 - -2701/1313. Calculate the common denominator of b and (243/(-270) - (-4)/10)*-13.
26
What is the common denominator of -75/4 and (-5)/20 - (-202)/24?
12
Suppose 6 = 4*f - 6. Suppose -2*k - f*k + 100 = 0. What is the lowest common multiple of k and 22?
220
Let u(o) = -11*o**3 + o**2 - 2*o + 1. Let c be u(1). Let j = 10 + c. What is the lowest common multiple of (-1 + j)*4/(-8) and 4?
4
Find the common denominator of (-415)/15*3/(-16) and 83/22.
176
Suppose -15 = 4*i - 63. What is the smallest common multiple of ((-18)/12)/(2/(-8)) and i?
12
Let o = -265/3 + 3767/42. Suppose -2*w = 5*p - 4060, w = -3*p + 6*w + 2405. Let b = p - 4871/6. What is the common denominator of b and o?
42
Let r = -7 - -7. Suppose 2*v = 4*n + 20, -v + 1 = -5*n - r. Calculate the smallest common multiple of 12 and v.
48
Let j = 2 + 2. What is the smallest common multiple of 3 and j?
12
Let u = 17862 + -36549/2. Let w = u - -365. Let i = 2626 + -26217/10. What is the common denominator of w and i?
10
Suppose 3*l - 10 = -5*t + 8, t - 2 = -l. Calculate the lowest common multiple of 12 and t.
12
Suppose -3*w + 3 + 6 = 0, -4*d + 5*w = -285. Calculate the common denominator of -47/3 and ((-610)/d)/((-4)/(-6)).
15
Let o be 2/(-4)*(-276)/(-1). Let a be (-20)/66*9/o. Let j = 6871/2024 - a. Calculate the common denominator of j and -23/14.
56
Let s = -142823/16 + 8930. What is the common denominator of -75/8 and s?
16
Let n(x) = x**3 + 6*x**2 + 6*x + 4. Calculate the smallest common multiple of 12 and n(-4).
12
Let g be ((-75)/18 + 2)*-302. Let d = 647 - g. Find the common denominator of (-14)/(-15) + (-2)/6 and d.
15
Let s = 165 - 297. Calculate the least common multiple of s/(-48)*(-1 + 5) and 4.
44
Let v be (97924/(-24))/(-1 - 0). Let p = 4090 - v. Find the common denominator of -41/2 and p.
6
Let b(i) = -i**3 - 2*i**2 + 2*i + 1. Let l be b(-3). Suppose 3*o = 5*o - l. Let w = 4 - 2. What is the lowest common multiple of w and o?
2
Let s be ((-43)/(-3))/(224/(-2220)). Let a = s - -1018/7. What is the common denominator of (-26)/1 + 2/4 and a?
8
Suppose 5 = 5*x - 5*k - 80, -2*k = x - 32. Let a(p) = -2*p - 18. What is the smallest common multiple of a(-15) and x?
132
Let g = -145/6 - -1775/66. Find the common denominator of (312/(-75))/((-2)/(-5)) and g.
55
Let j = 1453/5 + -298. What is the common denominator of 19/4 and j?
20
Let x = 12 + -6. Calculate the least common multiple of x and 4.
12
Suppose 3*t = d - 4, -2*d + 5*t + 12 = d. What is the least common multiple of 17 and d?
68
Let n be (-63056)/(-226)*2/12. Let u = 5624009/678 - 8295. Let w = n + u. Find the common denominator of 47/6 and w.
6
Let x be (-3 + 0 + 18)/1. Suppose -2*d + 5*d = 2*w + x, -5*w + 2*d - 10 = 0. Suppose 2*a - 14 = -w. What is the smallest common multiple of a and 5?
35
Suppose -5*w + 7*w + k - 75 = 0, -w + 2*k = -50. Calculate the lowest common multiple of 20 and w.
40
Let v = -20747/6 - -3438. Calculate the common denominator of (138/(-8))/(4/(-8)) and v.
6
Calculate the least common multiple of 2 and 56/21*(-3)/(-2).
4
What is the common denominator of (-110)/15 + (4/6 - 0) and 73/10?
30
Suppose 5*k = -6 - 4. Suppose z - 1 = 5*h, -3*h = z + 11 - 36. What is the smallest common multiple of 85/7 + k/14 and z?
48
Let l = -10146 - -141985/14. Calculate the common denominator of ((-78)/7)/(12/(-9)) and l.
14
Let s = -24 + 42. What is the smallest common multiple of s and 39?
234
Suppose 0 = -b - 4*x - 2, 4*b - 26 = 2*x - x. Let f = 76 + -72. Calculate the lowest common multiple of f and b.
12
Let c(j) = -6*j + 58. Suppose 4*k - 61 = 5*o + 6, -1 = -o. Calculate the least common multiple of c(9) and k.
36
Suppose 0 = -3*p - 3*f + 9, -2*f - 12 = -3*p + 17. What is the smallest common multiple of p and 4?
28
Let z = -501884899/1496220 + 116/34005. Let s = z + 1329/4. Let p = 8674 + -86863/10. Find the common denominator of s and p.
110
Let d = -33 + 43. What is the lowest common multiple of d and 16?
80
Let p = -10 + 18. What is the least common multiple of (-28)/(-15) - (-20)/150 and p?
8
Let n be (41279/1340)/(-7) - -2. Let r = 77/67 - n. Calculate the common denominator of -21/4 and r.
20
Let u = 742899087648457/15990 + -46460230641. Let a = u + -2/2665. Calculate the common denominator of a and 73/8.
24
Let x = 3/1051 - 114595/12612. Calculate the common denominator of x and 97/16.
48
Let j be (135644/22)/(-1 + -1). Let p = 5063308/1641 - 5/3282. Let m = j + p. What is the common denominator of -35/6 and m?
66
Let h = 64573/18 + -3586. Calculate the common denominator of h and -89/10.
90
Suppose 0 = -3*r - 2*i + 78, 87 = 5*r - r - 3*i. Suppose 6*h - 66 = h + 4*p, -p - r = -2*h. Calculate the least common multiple of 7 and h.
70
Let i(s) = 8 - s**3 + 4*s**2 - 7 - 1. Calculate the lowest common multiple of 5 and i(2).
40
Let a = -4 - -12. What is the lowest common multiple of a and 18?
72
Let i(l) = -l**2 - 2*l + 5. Let q be i(-4). Let h = 6 + q. Suppose 5*f - 37 = -3*m, 19 = 3*f + h*m - 2*m. Calculate the lowest common multiple of f and 1.
5
Find the common denominator of 25/24 and ((-9)/36)/((-15)/(-172)).
120
Suppose -8 - 4 = -2*z. Suppose -2*k = 3*m - 26, 4*m + 3*k + 15 = 51. Calculate the smallest common multiple of m and z.
6
Suppose n + 1 = 0, -3*n = 2*r + 2*n + 27. Let q(v) = -v - 3. What is the smallest common multiple of q(r) and 4?
8
Let s = -7 + 10. What is the least common multiple of s and 8/(-24) + (-28)/(-3)?
9
Let a = 49 + 41. Calculate the smallest common multiple of a and 16.
720
Let q = 0 - -5. Calculate the smallest common multiple of q and 10.
10
Suppose l = 5*c + 15, l + 41 = 5*l - c. What is the least common multiple of 8 and l?
40
Let j = -82 - -103. What is the least common multiple of j and 6?
42
Let w be 0/(4 - 6/3). What is the common denominator of -33/16 and (2 + w)/(36/47)?
144
Suppose 3*u + 12 - 33 = 0. What is the least common multiple of 8 and u?
56
Suppose -10*a + 19*a = 162. Calculate the least common multiple of 2 and a.
18
Let k = 10 - 6. What is the least common multiple of 6 and k?
12
Let m(g) = -g**3 + 4*g**2 - 4. Suppose 5*z - 10 = 4*u - 26, -3*u + 12 = 2*z. Suppose -j + 0 = -u. What is the least common multiple of j and m(3)?
20
Calculate the common denominator of 2 - ((-36)/128)/(9/(-6)) and -125/6.
48
Suppose 5*i = 2*d + 21, -4*i + 2*d = -2*i - 12. Let v be i/((15/(-4))/5). Calculate the smallest common multiple of 10 and 1/v + (-486)/(-24).
20
Suppose 4*x + x - 335 = 0. Calculate the common denomina