7989. Let l = 19417/2706 + b. Calculate the common denominator of l and -71/22.
66
Suppose -2*v = 3*f - 7*v + 3, -v = -3. Find the common denominator of -37/18 and f/16 - 58/4.
36
Let d(j) = 2*j**3 - 6*j**2 + 5*j - 2. Let a be d(4). Let h = a - 32. What is the smallest common multiple of 20 and h?
180
What is the least common multiple of -1 - ((1 - -2) + -11 + 5) and 5?
10
Let y = -150219/10 - -15034. Let x be (-16)/(-24) + 7/(-12). Let g = x - -8/3. What is the common denominator of y and g?
20
Let u = -6323/2497 - 3/227. What is the common denominator of u and -6/7?
77
What is the smallest common multiple of 4 and (-3)/8 + 1304/64?
20
Let x(w) be the third derivative of w**4/8 - w**3 + 4*w**2. Let v(h) = h - 2. Let o(m) = 7*v(m) - 2*x(m). Calculate the least common multiple of o(8) and 16.
48
Suppose 0 = -5*y - 0 + 15. Suppose -7 = -2*q - y. Suppose q*b = -0*b + 2. What is the lowest common multiple of 3 and b?
3
Let n be 6/2 + 0 - -1. Find the common denominator of (-1)/18*146 + n and -6/7.
63
Let g = 25 - 24. Calculate the lowest common multiple of 10 and g.
10
Let a = -127 - -204. Calculate the common denominator of 33/2 and (46/(-16))/(a/28).
22
Calculate the least common multiple of 3/(-1) + 18 + 0/(-9) and 12.
60
Let m(r) = -89*r + 1. Let c be m(-4). Let y = 687 - c. Let f = y + -1377/4. What is the common denominator of f and -41/7?
28
Let j = 11 + 1. Let m = -345 - j. Let q = -2189/6 - m. Calculate the common denominator of -45/8 and q.
24
Calculate the least common multiple of 3/4 - 2/(-8) and 49.
49
Let a(z) = z**3 - 18*z**2 + 14*z - 8. What is the smallest common multiple of 22 and a(18)?
2684
Suppose 3*s - 24 + 2 = -5*r, -2 = 3*r - 2*s. Suppose h - 42 = 3*q - 5*q, r*h - 15 = -q. Calculate the common denominator of q and 54/5.
5
Suppose -3*m - 7 = -4*n + 1, -3*n = -m - 11. Let y = 11 + -3. Calculate the smallest common multiple of m and y.
8
Suppose 87 = 2*y - 53. Suppose -b - y = -6*b. Suppose 2*o + 2*o = -3*k + 74, 0 = o + 3*k - 14. What is the lowest common multiple of o and b?
140
Let u(i) = -i**2 - 12*i - 15. Let g be u(-10). Find the common denominator of -59/18 and g*34/8 - 1.
36
Let d(o) = -3*o - 37. Calculate the smallest common multiple of 14 and d(-15).
56
Suppose 3*x = -f - 5, 0 = f - 6*f - 5*x + 25. Suppose -9*q = 7*q + 32. What is the lowest common multiple of 8 and (-305)/(-25) + q/f?
24
Suppose 5*k + 3*j - 14 = 0, -3*j + 2*j - 22 = -5*k. Suppose -3*d = 2*a - k, 9*a + 2*d - 10 = 4*a. Calculate the least common multiple of 12 and a.
12
Let m(r) = r**2 + r + 2. Suppose 0 = 5*a - 2*a. What is the least common multiple of m(a) and 2?
2
Let y(m) = -9*m + 74. What is the lowest common multiple of 6 and y(6)?
60
Let t(z) = -2*z - 7. Let w = -8 + 19. Calculate the lowest common multiple of w and t(-5).
33
Calculate the least common multiple of 4 and (-3)/6*(-14 + 2).
12
Suppose -3*q = -3768 + 405. Let s = -24657/22 + q. What is the common denominator of s and -15/4?
44
Let i(g) = -4*g. Suppose q = -3*q - 16. What is the least common multiple of i(q) and 8?
16
Let k(f) = f**3 - 11*f**2 + 9*f - 6. Let p(h) = -h**3 + 12*h**2 - 9*h + 6. Let z(v) = 4*k(v) + 3*p(v). What is the least common multiple of 9 and z(7)?
72
Suppose -y = -3*y - 2*m - 6, -5*m = 10. Let s = y - -31. Suppose 0 = 2*c + 3*v - s, 4*v - 6*v = 5*c - 64. What is the smallest common multiple of 2 and c?
12
Let x(u) = u**3 - 5*u**2 + 5*u - 1. Let l be x(4). Let a = l - 0. Suppose 0*f - 3*f = -3*m + 33, 4*f = -a*m + 5. Find the common denominator of 40 and m.
1
Let v be (2 - -1)/3 - -47. Let p = v - 30. Calculate the smallest common multiple of 12 and p.
36
Calculate the common denominator of 13/12 and -1 + (-1743)/(-540) - 26/(-117).
60
Suppose -6*q = -5 - 19. Find the common denominator of ((-34)/(-3485))/(q/(-265)) and -45/16.
656
Let s = 736/9 - 220/3. What is the common denominator of s and -38/7?
63
Let x = 15271/483 - 656/23. What is the common denominator of x and 59/30?
210
What is the common denominator of (1 - 6/4)*3 and -44*(-6)/12*5/(-4)?
2
Let i(t) be the first derivative of 2*t**3/3 + t**2/2 + t + 4. What is the lowest common multiple of i(-2) and 4?
28
Let u = 218562459/14212 + -1168665/76. Let a = u + -30/209. What is the common denominator of a and 17/11?
187
Suppose 10*f - 54 = 7*f. What is the least common multiple of f and 2?
18
Let a(j) = -j**2 - 7*j - 3. Let k be a(-6). Suppose 0 = -2*t - w + 5, 2*w = -k + 1. Let h(y) = 3*y - 1. What is the lowest common multiple of t and h(1)?
6
Let t = -32/209 - -6381/2090. Let u = 38 + -109/6. What is the common denominator of u and t?
30
Let l = 427/12 + -104/3. Let m = -4473/4 - -1110. Let t = m + l. What is the common denominator of -22 and t?
3
Suppose 0 = -2*d - 4*z + 2, -z + 19 = 4*d + 2*z. What is the lowest common multiple of d and 3?
21
Calculate the common denominator of 242/(-12) + 3/1 and 33/4.
12
Let a = 2129777109620836213/16647060 + -13689274014616/107. Let l = 322/12965 - a. Let r = 8499 - l. Calculate the common denominator of -43/6 and r.
12
What is the common denominator of 87/10 and ((-152)/12)/(1/(-6)*3)?
30
Let d = 23 - 13. What is the lowest common multiple of d and 6?
30
Suppose -4*g + 12 = 0, 4*k + g - 35 + 28 = 0. Let f = 7 - -2. Calculate the least common multiple of f and k.
9
Let s = -6068 - -97031/16. Find the common denominator of -65/12 and s.
48
Suppose -4*f - f = 4*k - 40, 0 = 4*k + 4*f - 36. Calculate the smallest common multiple of 10 and k.
10
Let x be (-2)/(-4)*(-8)/(-2). Find the common denominator of (113/9)/(0 - x) and (18/(-30))/(4/6).
90
Suppose 5*v = -3*n - n + 14, -4*v + 4 = 2*n. Let b = 21 - 13. Calculate the lowest common multiple of n and b.
24
Let y = 29 + 33. Let x(z) = -z**2 - 6*z + 3. Let p be x(-7). Calculate the common denominator of -113/10 and (y/12)/(2/p).
30
What is the common denominator of 14/9 and (-68)/(-6)*(-7)/21?
9
Suppose -4*o - 14 = -9*o + 2*y, -2*y + 22 = 4*o. What is the least common multiple of 10 and o?
20
Let t = -826 + 6595/8. Find the common denominator of t and 3/10.
40
Let g = -1556563381/87528 - 473/12504. Let j = g + 17792. What is the common denominator of 37/2 and j?
14
Let q = -57949/5336 - 10/667. Calculate the common denominator of 3/5*1/(-3) and q.
40
Calculate the least common multiple of 6*(3 + 20/(-8)) and (2 + 1)/(1/3).
9
Calculate the common denominator of 15/8 and (6/7)/(264/546).
88
Suppose -4*k + 9*k = 30. Suppose 4*h + 2*d = -164, -3*d - d - 76 = 2*h. Calculate the common denominator of -15/8 and (10/k)/((-4)/h).
8
Calculate the least common multiple of 8 and -3*1*6/(-18).
8
Suppose 0 = 2*n + 3*n. Calculate the least common multiple of 0 - (1 + n + -3) and 6.
6
Calculate the smallest common multiple of 22 and (-42*5/(-50))/((-3)/(-30)).
462
What is the common denominator of 67/10 and 1/15*-34 + -6 + 7?
30
Let k = 328117/17500 + 2/4375. Let d(w) = -185*w**3 + 2*w**2 - 1. Let i be d(-1). What is the common denominator of (i/9)/(16/2) and k?
12
Suppose 4*n + 1767 = 2*t - 11111, 4*t = -3*n + 25723. Let w be (t/(-96138))/(2/411). Let d = w - -2/2289. Find the common denominator of d and 42/5.
20
Let f(x) = -2*x - 2. Let d be 8 - (-2)/4*-2. Let k = 3 - d. Calculate the lowest common multiple of f(k) and 10.
30
Let x(o) = -o - 6. Let g be x(-6). Suppose -4*b = 5*l - 3 + 11, g = -3*l - 4*b. Let d = 6 + l. What is the least common multiple of 16 and d?
16
Let f = -18 + 22. Calculate the smallest common multiple of 16 and f.
16
Calculate the common denominator of 118/80 - (-6)/(-10) and -2 + 27/12 + 2.
8
Suppose 0 = -w + 4*l + 822, -3*l - 5114 = -5*w - 936. Calculate the common denominator of (2 - (-82)/(-22)) + 1/1 and 4/18 + w/198.
11
Suppose -2*c - 4*k = c + 13, 4*c - k - 8 = 0. Let x = c + 21. Calculate the least common multiple of x and (14/8)/(3/24).
154
Calculate the common denominator of (-2 - (-56)/(-5)) + 2 and ((-6)/(-4))/(45/87).
10
Suppose 0 = 3*k - 2*k - 3. Find the common denominator of (14/(-16))/(k/(-54)) and -29/14.
28
Calculate the common denominator of 2796/(-480) + (-1)/(-5) and 64/9.
72
Let l(z) = -z**3 - 16*z**2 - 16*z - 5. Let s be l(-15). What is the lowest common multiple of -2*s/6*-3 and 1*(-20)/(2/(-1))?
10
Let c = -8 + 30. Calculate the least common multiple of c and 8.
88
Let s be ((-124)/78