775/2 + 871. Let u = 12523/3 + -2280791/546. Let r = -63/13 + u. What is the common denominator of d and r?
14
Suppose -3*q = -0*q - 9. Suppose q*p + 16 = -20. Let z = 32 + p. Calculate the least common multiple of z and 22.
220
Let d = 15 + -3. Suppose -3 = -3*m - d. Let c = m - -25. What is the smallest common multiple of 8 and c?
88
Suppose -5*q - 4*f + 36 = 0, 0 = -q + 6*f - f - 16. What is the least common multiple of 12 and q?
12
Let w(g) = g**2 - 7*g + 6. Let s(c) = -5*c**2 + 29*c - 23. Let a(x) = 2*s(x) + 9*w(x). What is the least common multiple of a(-6) and -1 - -2 - 1 - -8?
8
Let d = -1862 - -2810. Let w = 2816/3 - d. Find the common denominator of 28/11 and w.
33
Let d = -68229/10 + 6811. What is the common denominator of (-82)/16 + -1 + (-2 - -3) and d?
40
Let k = -9621 + 57865/6. Let w = -21577 + 474785/22. What is the common denominator of w and k?
66
Let p(t) be the second derivative of t**3/2 + t**2/2 - t. Let z be p(-6). Let o = z - -35. What is the lowest common multiple of o and 10?
90
Suppose 2*k + 264 = -4*g, -8 = k + k. Calculate the common denominator of -2*(-20)/g*-60 and -19/11.
22
Let y(d) = 8*d + 2. Calculate the lowest common multiple of (-1)/5 - (-93)/15 and y(2).
18
Calculate the common denominator of 91/454 and 4/(-144)*2*46/2.
4086
Let m = -173429/20 - -8676. Let t = 31/2613 + -11431999/10452. Let s = t - -1108. Calculate the common denominator of m and s.
20
Suppose 3*s - 1120 = -5*t - 2*s, -5*s = 5. Suppose -n - 4*n = -t. Find the common denominator of 31/9 and n.
9
Let q(c) = -3*c - 13. What is the least common multiple of 16 and q(-9)?
112
Let w be (2/2778)/(8/(-16)). Let g = w - -10959/926. What is the common denominator of -2 + 44/5 - -1 and g?
30
What is the common denominator of 1/(-2)*(-6)/((-6)/31) and 83/228?
228
Let l be (-118)/132 + 2 + -1. Let c = l - -877/132. What is the common denominator of c and (-501)/(-60) - (6 + -1)?
20
Suppose -1 = 4*v - 17. Suppose -6*y + v*y - 7 = -5*s, -3*y + 3 = -3*s. Suppose s*z + 5 = 38. Calculate the smallest common multiple of 11 and z.
11
Let m be (-90)/(-24)*(-8)/3. Calculate the least common multiple of 14 and m/((2/(-2))/1).
70
Let x = -35433/2065 - -562/35. Let o be 2/59*2606/(-36). Let c = o + x. Calculate the common denominator of -31/8 and c.
72
Let d(g) = -g**3 + 5*g**2 + 3*g + 3. Let k be 1/5 + 48/10. Calculate the lowest common multiple of d(k) and 22.
198
What is the smallest common multiple of 8 and 66/4*(-8)/(-6)?
88
Suppose -3*p = -2*z + 31, 4*z - 3*p = 8*z - 89. What is the smallest common multiple of 2 and z?
20
Suppose 0*h - 5*h + 20 = -5*x, -x - 12 = -3*h. Calculate the least common multiple of 18 and h/22 + (-174)/(-11).
144
Suppose 20 = -4*x - 8. Let c = -5 - x. Calculate the lowest common multiple of c and 9.
18
What is the common denominator of (235/260 + -3)/4 and 41/18?
1872
Let w = 13 + -19. Let c(h) = h**3 + 7*h**2 + 5*h + 2. Let x(g) = -19*g + 1. Calculate the smallest common multiple of x(-1) and c(w).
40
Calculate the least common multiple of 34/8 - 14/56 and 6.
12
Let q = 34 - 22. Let m = -26 + 8. What is the lowest common multiple of (-276)/m + (-4)/(-6) and q?
48
Suppose 3 = i - 2*w, -3*w - 3 - 3 = -2*i. Suppose 23*c - 145 = -30. Calculate the lowest common multiple of c and i.
15
Let h be -9*3/9*-2. Let i(q) = -q**2 + 7*q - 7. Let o be i(h). Calculate the lowest common multiple of (o - -2)/(1/11) and 5.
55
Suppose -t - 3*q = 26 + 10, 5*t + 125 = -4*q. Calculate the common denominator of 136/42 - 7/t and 101/8.
56
Calculate the smallest common multiple of 10 and 6/27 - (-64)/36.
10
Let v be (6898/(-3450) - -3) + -1. Let a = 62677/3450 - v. Find the common denominator of a and -2 + 3 - (-17)/18.
18
Let r be 3 + 0 - 3 - -1968. Let z = 15725/8 - r. Find the common denominator of z and 9/2.
8
Suppose 3*j - 5 = 4. Let t be 3/5 - j/5. Suppose t*q + 5*g + 3 = -3*q, 3*q - 21 = 3*g. Calculate the smallest common multiple of q and 2.
4
Suppose 7 + 8 = 5*r. Find the common denominator of ((-2)/11)/(4/(-31)) and (-1)/((-285)/81 + r).
154
Suppose 3*q - 2*o = -233, o - 4*o + 312 = -4*q. Let n be 1 - (-41 + 2 + -2). Let w = q + n. What is the common denominator of w and -49/4?
4
Let s(r) = -r**3 + 7*r**2 + 1. Let l be s(7). Find the common denominator of 33/20 + (-1)/l and -39/20.
20
Let v = 8 - 4. Suppose -t = -v*u - 16, 7*u - 5*u = -6. Calculate the lowest common multiple of 10 and t.
20
Calculate the least common multiple of 16 and (-119)/(-4) + 3/12.
240
Let c = -236341/20 + 11821. What is the common denominator of 85/8 and c?
40
Let y be -2 + 0 - (-484 - -1). Let l = -577881 - -6361976/11. Let r = y - l. What is the common denominator of -7/8 and r?
88
Let t = 7 + -14. Let o = 1 - t. What is the least common multiple of 7 - -2 - o/4 and 10?
70
Let c = 10/561 + -21949/3927. What is the common denominator of 99/10 and c?
70
Let m be (-14)/6 + (-3)/(-9). Let j(k) = 9*k - 7. Let g(n) = -n + 1. Let s(a) = -6*g(a) - j(a). What is the lowest common multiple of 2 and s(m)?
14
Suppose 5*k = 43 - 18. Let o be k/(10/(-84)) - -2. Find the common denominator of 2/8 + (-274)/o and -59/2.
10
Suppose -3*v + 7 = -b, 4 - 13 = -2*v + 5*b. Calculate the smallest common multiple of ((-3)/6)/(v/(-28)) and 1.
7
Let c be 45/(-3)*(-4)/(-4). Calculate the least common multiple of 5 and ((-12)/c)/((-2)/(-10)).
20
Let t = -6 - -4. Let s be 6 - 0/(t + 3). Find the common denominator of ((-3)/(-20))/(s/22) and -25/14.
140
Let w = -9815/13308982 + -1/6014. Let g = -123934/6639 - w. Find the common denominator of g and -6/11.
33
Suppose -32 - 8 = -4*o. What is the lowest common multiple of 18 and o?
90
Find the common denominator of 62/12 - (7 - 7) and -3 - 3/(-60)*-6.
30
Suppose 9*w - 55 = 4*w. Calculate the smallest common multiple of w and 9.
99
Let x = -3/2 - -53/10. Calculate the common denominator of 3/4 and x.
20
Let z(c) = 3*c**2 - 6*c + 1. Let s be z(-5). What is the common denominator of (s/8)/((-18)/(-8)) and 42/11?
99
Calculate the common denominator of -77/2 and (-9)/(-60)*(125/3 - 2).
20
Let k = 5/229 + 5023/687. Let h = -5111 + 2604. Let l = -27548/11 - h. What is the common denominator of l and k?
33
Let n = -409 + 2816/7. Calculate the common denominator of -49/2 and n.
14
Let r = 117 + -74. What is the common denominator of ((-2)/(-4))/(1/r) and 43/10?
10
Let f = 85 + -53. What is the least common multiple of f and 12?
96
Let w(d) = -d + 1. Let n(t) = -t**3 - 5*t**2 - 2*t - 3. Let a be n(-4). Let c = a + 5. Calculate the least common multiple of 7 and w(c).
7
What is the smallest common multiple of 12/(-2)*(-4)/6 and 4?
4
Suppose -73 = -g - 57. What is the smallest common multiple of (-31)/(-2) + 2/4 and g?
16
Let m be -4*(-1 - (-20)/8). Let a be 1/((2 - 0)/2). What is the smallest common multiple of (a - -3)*(-1 - m) and 4?
20
Let r = 377/4 - 1967/20. Calculate the common denominator of r and -77/4.
20
Let y(n) = -3*n**3 + n**2 + n. Suppose a + 4 = -3*a. Calculate the least common multiple of 9 and y(a).
9
Let w(z) be the first derivative of z**2/2 + 7*z - 2. What is the smallest common multiple of 20 and w(-5)?
20
Suppose -30*q = -35*q + 90. Let t = q + -16. What is the least common multiple of t and 6?
6
What is the common denominator of -31/5 and 16/72 - (-131)/(-63)?
35
Let y be 4*3*2/(-4). Let v(b) = b**2 + b + 11. What is the smallest common multiple of v(0) and 1/((y/16)/(-3))?
88
Suppose -4*q = -9*q - 40. Calculate the common denominator of (69/(-18))/(6/q) and 48.
9
Let y = -3 - -5. Let p = y + 1. Suppose 0*u = p*u + 4*q - 40, 0 = -2*u + 3*q + 55. Calculate the lowest common multiple of 4 and u.
20
Let h = -20 - -24. What is the smallest common multiple of h and 16?
16
Calculate the lowest common multiple of 12 and (10/(-6))/(((-1)/(-9))/(-1)).
60
Let n = -143/185 + -1/37. Let l = -207/4 - -57/4. What is the common denominator of l and n?
10
Suppose 0 = 3*q - 4*k - 62, k = 4*q - 89 + 15. What is the smallest common multiple of q and 20?
180
Let t = 1067 + -22321/21. What is the common denominator of t and 53/9?
63
What is the common denominator of ((-1098)/48 - -5)/(9/4) and 80/33?
198
Let a = -2 + 12. What is the smallest common multiple of 7 and a?
70
Let w = 396/7 - 55. Let z = 116 + -237/2. Calculate the common denominator of w and z.
1