nd 29/11.
946
Let c(z) = -z**2 - 9*z + 8. Let k be c(-8). Suppose 0 = -4*x - k. Find the common denominator of 10/x*18/(-14) and -35/12.
84
Suppose -2*d - 2*d = -16. Suppose -18 = d*u - 6*u. What is the least common multiple of u - (4 + (-2)/1) and 8?
56
Let j = 7488 - 74759/10. Let p = -295 + 478. Find the common denominator of j and 6/10*p/(-9).
10
Let p(l) = -l**2 - 9*l + 10. Calculate the lowest common multiple of p(-9) and 10.
10
Let z = 3 - -3. Calculate the smallest common multiple of z and (0 + 0 - -2) + 38 + -39.
6
Let d(y) = -y**3 + 3*y**2 + 2*y + 18. Calculate the smallest common multiple of d(0) and 28.
252
Let a = 8535/2864 + -30/179. Let u(l) = -2*l**2 + 2. Let k be u(4). Calculate the common denominator of a and (-3)/(-2)*99/k.
80
Suppose -5*b - 2*m = -34, 0*b - 4*m - 20 = -b. Suppose 2*k - 15 = -3*k. Let o = 4 - k. Calculate the smallest common multiple of o and b.
8
Suppose -6*h + 2*h = -3*s + 2789, -h + 2794 = 3*s. Let m be 22588/(-6)*(-3)/(-12). Let y = s + m. Calculate the common denominator of -81/16 and y.
48
Suppose -x - 8 = -2*b + 4, -4*x - 4*b = 0. Find the common denominator of (-243)/(-60) - 1/(-4) and 0 + (-13)/x*-1.
20
Suppose -y = -q + 21, 3*q - y = q + 37. Let j(n) = -3*n**3. Let z be j(-1). Suppose -2*b = -z*b + q. Calculate the lowest common multiple of b and 2.
16
Let i be (-4)/(-14) - (-3562)/(-12320). Let u = i + 58529/2640. What is the common denominator of -2 - (8/28)/2 and u?
42
Suppose 0 = -n - n - 8, 2*t - 5*n = -62. Calculate the common denominator of t - ((-10)/4 - -2) and -47/4.
4
Suppose 0 = -2*d + 4 + 24. Let q be (-33)/(-7) + (-2)/(-7). Suppose -103 = -q*g - 3. Calculate the smallest common multiple of d and g.
140
Calculate the common denominator of 6/(-84)*218/(-8) and -37/14.
56
Let k(n) be the second derivative of -n**5/20 - 2*n**4/3 - n**3/3 + 2*n. What is the least common multiple of 2 and k(-8)?
16
Let w = 133 + -86. Calculate the lowest common multiple of 9 and w.
423
Let t be (-18)/6*(3 + -2). Let m = 5 - t. What is the least common multiple of m and 16?
16
Let l(r) = -r**2 - 7*r + 4. Let z = -5 + -2. Let d be l(z). Suppose d*p = a - 0*a + 21, -9 = -3*a. What is the least common multiple of 4 and p?
12
Suppose -4*z - 2*c + 8 = 0, 0 = -4*z + 3*z + c + 5. Suppose -3*w + 102 = 3*n, w + z*n - 34 + 8 = 0. What is the least common multiple of w and 10?
190
What is the common denominator of 50/3 and (7/(-3))/((-209)/(-228))?
33
Let o(y) = y**3 - 5*y**2 + 6*y - 5. Let m be o(4). Suppose 2*u - 102 = -m*f, 2*f + 78 = 2*u - f. Find the common denominator of -10 and u.
1
Calculate the lowest common multiple of 3 - 2 - (0 - 0) and (-68)/(-28) - 30/70.
2
Let g = 21 - -1. What is the least common multiple of g and 4?
44
Let h = -22 - -16. What is the common denominator of 14/11 and (128/18)/((-4)/h)?
33
Let x = 13 + -7. What is the smallest common multiple of 16 and 1*(x + -4)*1?
16
Let z(q) = 3*q + 1. Let m be z(-1). Calculate the common denominator of -1 + (170/(-24) - m) and -87/28.
84
Let q = 5 - 3. Calculate the least common multiple of q and (2/(-3))/((-3)/36).
8
Suppose -g - 3 = 2*c - 20, 2*g + 14 = 4*c. Calculate the lowest common multiple of 1 and c.
6
Let g be (-4)/8*0 - -2. Suppose -3*z + 19 = g*f, 4*f + 14 = 5*z - 3. Calculate the smallest common multiple of 4 and f.
4
Suppose -d + 45 = 5*h - 2*d, -3*h + 35 = d. Calculate the common denominator of 32 and (-115)/(-18) - h/45.
6
Suppose -3 - 3 = -3*s. Let u be (-1 + -1 - -873)*s. Let r = u + -19183/11. Calculate the common denominator of r and 28.
11
Let h = 6007/18 - 331. Calculate the common denominator of -89/6 and h.
18
Let k be (6/5)/((-3)/(-10)). Suppose -4*z = 5*c - 28, 3*c + k*z = 4*c - 20. Let y(f) = -f**3 - 2*f - 1. What is the least common multiple of y(-2) and c?
88
Let u = 14 - 11. Suppose 2*o - 7*o = -30. Calculate the lowest common multiple of o and u.
6
What is the common denominator of (6/33)/(36/(-336)) and 37/6?
66
Suppose -3*m = -r + 47, 19 - 2 = -m + r. Let p = m - -33. Calculate the lowest common multiple of 18 and p.
18
Let j = 9 - -1. Let i = 4 - j. Let m = -4 - i. Calculate the least common multiple of 11 and m.
22
Let j = -155/112 + -3/16. What is the common denominator of j and 13/11?
77
Let k = -582 - -584. Calculate the lowest common multiple of ((-10)/4)/(1/(-4)) and k.
10
Let f be ((-2 + 8)*-1)/1. Calculate the least common multiple of 4 and (-40)/f*(-9)/(-6).
20
Let j(y) = y**2 - 6*y - 11. Let p be j(8). Suppose 5*i - 45 = p*d, 4*i - 2*d - 26 = -0*d. What is the least common multiple of i and 18?
36
Find the common denominator of -113/12 and (-2)/28 + -1 + 5.
84
Suppose -3*i = -h + 13 - 78, -5*h + 15 = 2*i. What is the least common multiple of 6 and i?
60
Suppose q + 25 = 6*q. Suppose -5*a + 5*d = -35, -4 + 5 = -a + q*d. Suppose -4*o = -12 - 0. Calculate the lowest common multiple of o and a.
9
Suppose -2*a = -2*y + 8, -a = -3*a + 8. Let o(t) = -t**3 + 9*t**2 - 8*t + 11. Calculate the smallest common multiple of o(y) and 8.
88
Let m be 3/8*10/(-18465). Let j = 77557/19696 + m. Calculate the common denominator of j and (-98)/(-6)*6/(-16).
16
Let m = -18 + -6. Let y = -14 - m. What is the common denominator of 49 and y/(-35) + 603/(-70)?
10
Let u(h) = -h**3 + 3*h**2 + 6*h - 4. Let n be u(4). Suppose -5*a = -5*j + 75, -n*a = -j - 8*a. Calculate the lowest common multiple of j and 2.
12
Let k be ((-2)/(-1))/((-10)/(-1075)). Let i(z) = 9*z + 3. Let o be i(-2). What is the least common multiple of (-1)/3 - k/o and 22?
154
What is the common denominator of 10/(-40) + (-243)/(-28) and 157/30?
210
What is the lowest common multiple of 22 and 20/(-6)*(-42)/28?
110
Suppose -g = -4*w - 14, g - 2*w = -3*g + 14. What is the lowest common multiple of g and 3?
6
Suppose 0 = -2*d - j - 1, 0 = -2*d - 3*j - 2 - 9. Calculate the lowest common multiple of d and 18.
18
Let s(a) = -a**3 - 7*a**2 - 6*a + 6. Let i(p) = p**3 - p - 6. Let l be i(0). Suppose -21 = -3*o - 0*o. Calculate the smallest common multiple of s(l) and o.
42
Let c = 278223/20 - 13908. What is the common denominator of c and 149/24?
120
Let d(n) be the first derivative of -n**4/4 + 5*n**3/3 + 5*n**2/2 - n + 2. Let o be d(6). What is the common denominator of -32/3 and (-9 - -1)/(o/(-4))?
21
Let z = -66 - -46. Let p = -14 - z. Find the common denominator of (-50)/p*(-3)/(-7) and -7/3.
21
Suppose 0 = 2*o + 2. Let t(y) = -7*y - 1. Let b(j) = -j. Let g(m) = 4*b(m) + t(m). What is the lowest common multiple of 8 and g(o)?
40
Let k = -12 - -18. Suppose -k = -5*s + 2*s. Suppose s*t + 5*w = 24, -t = t - 3*w - 24. What is the least common multiple of t and 14?
84
Find the common denominator of (200/(-110))/((-3)/2*-4) and -86/15.
165
Let r be (300/(-14))/(2/167). Let j = 1786 + r. Find the common denominator of -13/3 and j.
21
Let f = 2778 + -11197/4. What is the common denominator of f and (-211)/(-12) + 8/(-6) + 2?
4
Let a = -14921/812 + 797/29. Let v = 125/7 - a. What is the common denominator of v and 71/12?
12
Let l be (-6 + 1)/((-10)/(-20)). Calculate the smallest common multiple of 24 and 36/10 + (-4)/l.
24
Calculate the smallest common multiple of 12 and (-330)/(-8) + 175/(-140).
120
Let t(p) = -333*p**2 - 2*p - 1. Let l be t(-1). Let s(v) = -2*v**2 + 4*v - 2. Let n be s(3). Find the common denominator of (l/n)/((-11)/(-1)) and -103/20.
220
Find the common denominator of (-15035)/(-248)*(-1)/10 and 13/8.
16
Let z = 359 - 357. Calculate the least common multiple of z and (-6)/8*4/(-1).
6
Let d(f) = -f. Let h be d(7). Let r(n) = n**2 + 6*n - 7. Let y be r(h). Suppose y = -3*u - 17 + 83. Calculate the lowest common multiple of 2 and u.
22
Suppose i = -2*m + 3*m, -2*m = 5*i + 7. Suppose -5*x - 698 = 202. Find the common denominator of i/5 - (-1004)/x and 127/6.
18
Suppose 0 = 6*p - 5*p - 11. What is the least common multiple of p and 4/(-6)*(-3)/2?
11
Let r = 3592/207 + -4/207. Let b = 1/116 - 411/580. Find the common denominator of b and r.
30
Let y = -150/50837 + 950399515/610044. Let w = y - 1559. Calculate the common denominator of 1 - -2*114/(-56) and w.
84
Let x be 9/(-2)*132/9. Calculate the lowest common multiple of (x/(-4))/(-3)*-4 and 20.
220
Suppose 38850 + 9159 = 3*q. Let z = q + -9291. Let o = z + -40403/6. Calculate the common denominator of o and 93/10