) and 77/30.
210
Let u(v) be the third derivative of -v**4/24 + v**3/6 + v**2. What is the lowest common multiple of u(-3) and -4 + 7 + -1 + 6?
8
Find the common denominator of 179/(-12) - 6/(-24) and 38/43.
129
Let r be (15110/(-35628))/((-3)/44). Let v = r + 6/2969. What is the common denominator of v and 23/2?
18
Let f(a) = -a**2 + 4*a. Let z(w) = w**2 + 9*w + 10. Let u be z(-8). Calculate the smallest common multiple of f(u) and 22.
44
Let j = -4077/4 - -1027. Let t(h) = 2*h - 4. Let u be t(5). Find the common denominator of (-39)/8 - (-3)/u and j.
8
Let y(i) = i**3 + 5*i**2 + 4. Let m be y(-5). Suppose m*z = 7 + 1. Suppose 5*c - 24 - 1 = 0. What is the least common multiple of c and z?
10
Let h be (2 - -148)*8/(-20). What is the common denominator of 2/(-6) + (-185)/h and -51/16?
16
Suppose 16 = -4*x - 0*x + r, 4*x + 3*r = 0. Let m be (-14)/(-1) + x/(-3). What is the common denominator of 59/14 and ((-1)/(-6))/(m/(-333))?
70
Let v = -65494/3 - -491813/24. Let n = v - -1345. Calculate the common denominator of 182/40 + 0/(-3) and n.
40
Let h = 877 + -4447/5. What is the common denominator of h and -5/26?
130
Let l = -5 - -12. Find the common denominator of 95/(-18) + 1 + 0 and (1/4)/(l/(-350)).
18
Suppose 0 = -5*v + 50 + 35. Calculate the lowest common multiple of v and 10.
170
Let b(r) = r**2 + 5*r - 1. Let d be b(-5). Let k(z) = -110*z. Let v be k(d). What is the smallest common multiple of 2/8 - v/(-8) and 20?
140
Suppose 0 = j - 2*j - 35. Let b = j - -51. What is the least common multiple of b and 16?
16
Suppose 20 = 2*k - 6*k. Let w(y) be the third derivative of y**5/60 + 5*y**4/24 + y**3/6 + y**2. What is the lowest common multiple of 8 and w(k)?
8
Let i = -5107/4 - -1265. Calculate the common denominator of i and -81/20.
20
Let j(t) = -t**2 + 6*t + 14. Let l be j(7). Suppose l*w = 12*w - 30. What is the smallest common multiple of w and 10?
30
Let n = 844/35 - 249/10. Calculate the common denominator of n and 47/16.
112
Calculate the smallest common multiple of 4/14 + 0 - (-2900)/140 and 12.
84
Suppose j = 3*j - 28. Calculate the least common multiple of j and 2.
14
Let c = 3691/19 - 12102751/62301. Let s = c - 30241/2186. Let v = 140193/22 - 6374. Find the common denominator of v and s.
66
Let r = 42740 + -4316698/101. Let u = 2777/606 - r. Calculate the common denominator of -51/2 and u.
6
What is the least common multiple of (-10)/45 - (-112)/18 and ((-60)/(-8))/((-15)/(-20))?
30
Let k = -2 - 0. Let h = k - -7. Suppose -3*m + h*m = 36. Calculate the least common multiple of m and 22.
198
Let t = 11 + 3. What is the least common multiple of 4 and t?
28
Suppose -2*i - 6 = -0*i. Let t = 0 - i. What is the least common multiple of 22 and ((-6)/4)/(t/(-36))?
198
Suppose 0 = 3*x + 3*r + 13686, -2*x + 3*r + 4568 = -3*x. Let y = -27283/6 - x. What is the common denominator of -109/26 and y?
78
Let b = 7 + 1. Let g = 13 + -3. What is the smallest common multiple of g and b?
40
Suppose 74 = -4*w + 10. Let v = w - -28. Calculate the lowest common multiple of v and 10.
60
Let u = -17911/1104 + 21/368. Find the common denominator of u and (-3)/(-1) + (-49)/(-168).
24
Let f = 1074/11 - 8083/66. Find the common denominator of f and -8/11.
66
Let g be (15/10)/((-3)/24). What is the common denominator of -85/18 and -5*(g/(-8) + -2)?
18
Let o(b) = b**3 - 8*b**2 - 10*b + 12. Let r(d) = -d**2 + d + 9. Let x be r(0). Let i(z) = z**2 + 1. Calculate the least common multiple of i(1) and o(x).
6
Let h = -8433/3208 + 3/802. Calculate the common denominator of -41/18 and h.
72
Let i(h) = -2*h**3 + h**2 + 3*h**3 + 2 + 5*h**2 + 6*h. Suppose 0 = -10*j + 9*j - 4. Calculate the smallest common multiple of i(j) and 22.
110
Let g = 290057/55622 + -2/3973. What is the common denominator of g and -99/14?
14
Let d be 30/2*10/15. Calculate the smallest common multiple of 12 and -66*(3 + d/(-3)).
132
What is the common denominator of 125/18 and 13/(-22) - (31 + -27)?
198
Let y = 16/5 + 4. Calculate the common denominator of y and 53/10.
10
Suppose -4*z - 34 = -10. Suppose 3*q + 8 = 2*r - 31, -2*r + q = -33. Find the common denominator of (z/r)/(12/325) and -61/3.
6
Let u be 14/8 - 1/(-4). What is the common denominator of -20/9 and (-45)/(-480)*(-24)/u?
72
Let a = -833 - -6683/8. Calculate the common denominator of a and -68/9.
72
Let s(d) = d**2 + 3*d + 2. Suppose 26 = h - 5*h - 3*f, 4*f - 12 = 4*h. Let x be (-3 - 1) + 4 + h. What is the smallest common multiple of 18 and s(x)?
36
What is the common denominator of 46/8 + (-8)/(-2) and 99/20?
20
Let o = -1223/24 - -337/8. Find the common denominator of -75/4 and o.
12
Let y be 6/(-93)*2133/156. Let d = y - -7/62. Calculate the common denominator of 73/2 and d.
26
What is the least common multiple of 24 - (9/(-45) + (-28)/10) and 12?
108
Let v(t) = -2*t + 5. Let p(q) = 3*q - 6. Let c(m) = -3*p(m) - 4*v(m). Suppose -4*a + 8 + 0 = 0. Calculate the smallest common multiple of a and c(-12).
10
Let g = 38511/2 - 75447/4. Let k = 396 - g. What is the common denominator of k and 75/4?
4
Let a = 28 - 24. What is the least common multiple of a and 2?
4
Suppose -w + 10 = -4. Let u = 22 - w. Calculate the smallest common multiple of u and 11.
88
Let c be 3*((-30)/(-9) + -2). Find the common denominator of 45 and c/(-2) + 6/18.
3
What is the least common multiple of (4/(-7))/(10/(-35)) and 36?
36
Let v = -36 - -51. Calculate the least common multiple of v and 21.
105
Suppose 5*q - 5*t + 84 = -3*t, 0 = -2*q + 5*t - 42. What is the common denominator of q and -6/11?
11
Let o = -65 + 108. Calculate the common denominator of o/(-12) + 1/(-2) and -1/12.
12
Let d = 116834184/11 + -21296361/2. Let k = 26886 + d. Find the common denominator of 3/2 and k.
22
Let l(r) = -2*r - 6. What is the smallest common multiple of 16 and l(-10)?
112
Suppose 0 = 4*z, -2*z = -3*i + 22 - 10. Calculate the least common multiple of 75 and i.
300
Calculate the common denominator of 0 + -4 - 248/56 and 47/(-6)*(-6)/(-4).
28
Suppose 3*m = -0 - 3. Let j(u) = -5*u**3 - u**2 + u + 1. Let y be j(-1). Let g = y + m. Calculate the smallest common multiple of g and 6.
6
Suppose 2*l - 108 = -3*t + 50, 0 = 2*t + 4*l - 108. Suppose 0 = s + 6 - 18. Calculate the smallest common multiple of s and t.
156
Let j = 6 - 4. Suppose -28 = -3*y - n - 9, -j*y + 3*n = -31. What is the smallest common multiple of 14 and y?
56
Let s = 3 - 6. Let i(v) = v**2 - v - 2. Calculate the least common multiple of 4 and i(s).
20
What is the common denominator of 67/3 and ((-876)/16)/((-30)/4)?
30
Let u = -15/878 - -1315713/1756. Let r = -753 + u. Find the common denominator of -57/16 and r.
16
Suppose -99 = j + 591. Let l = j + 6871/10. Find the common denominator of l and -47/7.
70
What is the common denominator of 0/1 + (-707)/126 and (-78)/32 + 0 - 1?
144
Let j(r) = r**3 - 4*r**2 - 1. Suppose 0 = -5*d + 31 - 11. Let k be j(d). Calculate the smallest common multiple of 7 - ((-3)/k)/(-3) and 22.
88
Let f = -413 + 9091/22. Let q = 5974926327/338 + -17677310. Let b = q + 4/507. Calculate the common denominator of b and f.
66
Let b = -12 + 40. Calculate the lowest common multiple of b and 20.
140
Suppose -2*r = -6*r + 728. Calculate the common denominator of (-1)/(-4)*r/(-5) and (-4)/14 - (-1774)/84.
30
Suppose 5*s = 55 - 20. Let i(r) = r - 4. Calculate the least common multiple of i(s) and 2.
6
Let s(i) = i. Let t(a) = -a**2 + 4*a + 5. Let b(h) = -4*s(h) + t(h). What is the lowest common multiple of b(0) and 10?
10
Let l = 1 - -6. Let h = 16 - l. Calculate the smallest common multiple of h and 6.
18
Let x(n) = n**3 - 2*n + 2*n + 2 + n**2. Let v be x(0). Suppose 5*f - 4*g = -0*g - 2, v*f - 10 = -2*g. What is the least common multiple of 6 and f?
6
Suppose -2*t + 7*t = 0. Suppose t = x + x + 5*g + 9, 3*x + 3*g = 0. Calculate the least common multiple of 6 and x.
6
Let j(y) = -y**3 - 7*y**2 - 6*y - 6. Let w be j(-6). What is the smallest common multiple of 22 and 24/(-20)*20/w?
44
What is the common denominator of 47/30 and 4 - 57/63 - (-15)/35?
210
Calculate the lowest common multiple of 14 and (-140)/(-15) + (-2)/(-3).
70
Find the common denominator of 2/10 - 4239/(-630) and -127/6.
42
Let k = 9 - 5. Suppose -h - 12 = -3*q, -2*q + 4*h - 3*h + 8 = 0. Calculate the least common multiple of q