ultiple of z(n) and 8.
88
Let f(x) = x**3 - 3*x**2 - 12*x - 6. Let n be f(6). What is the common denominator of 50/7 and -1 + ((-1)/15)/(n/(-3550))?
63
Suppose 17*c = -204 + 1734. Calculate the lowest common multiple of c and 180.
180
Let h(g) = -g - 6. Let s be h(-7). Suppose 0 = 4*r - 19 - s. What is the lowest common multiple of 4 and r?
20
Find the common denominator of -1 - 4 - (-32)/(-12) and 55/24.
24
Let a(n) = -3*n. Let r be (-8)/40 - (-18)/(-10). Suppose h + 6 = 4*h. What is the least common multiple of a(r) and h?
6
Let c = 491896663/8842548 - -27/66989. Let z = c + -688/11. Find the common denominator of -101/18 and z.
36
Let s = -5648 + 5670. Let j = 58 + -26. Calculate the smallest common multiple of j and s.
352
Calculate the common denominator of ((-1106)/(-112))/((-19)/2) and 53/36.
684
Let r(s) = s**3 - 4*s**2 - 11*s - 4. Let f be r(6). Let c(q) = 6*q - 11. What is the least common multiple of c(f) and 6?
6
Let z(n) = n**3 + 15*n**2 + 13*n - 19. Let q be z(-14). Calculate the smallest common multiple of 16 and (-2 - q)*-1 - -19.
16
Let p = 72 + -80. Let u(d) = d**3 + 9*d**2 + 9*d + 13. Calculate the lowest common multiple of u(p) and 8.
40
Find the common denominator of 35/3 and 6/4*(-28)/(-10).
15
What is the common denominator of (-6)/((-6480)/370) - 4/18 and 77/216?
216
Let o = -46529383/9 + 5174998. Let j = -10383 + 15444. Let u = j - o. Calculate the common denominator of -44/9 and u.
9
Find the common denominator of 1 - ((-48)/5)/(-4) and ((-40)/36)/((-70)/84).
15
Suppose -2*x - 44 = m + 2*m, 5*x = -5*m - 120. Let a = x - -39. Suppose 2*s - a = -p, s - 26 = -s + 2*p. What is the lowest common multiple of 6 and s?
24
Let a be ((-112)/126)/(1/222). Let b = 300017 + -4503137/15. Let v = b - a. Calculate the common denominator of v and 65/9.
45
Suppose 4*u - 4*l = 96, 0 = 5*u - 0*l + 5*l - 160. Calculate the smallest common multiple of 32 and u.
224
Suppose 4*u + 5*c = 6, -2*u - 5 = -4*c + 5. Let w(b) = b**2 + 6*b - 11. Let v be w(-8). Let k = u + v. What is the least common multiple of 9 and k?
36
Let b = -300 + 303. Calculate the lowest common multiple of 40 and b.
120
Let b = -24 - -35. What is the lowest common multiple of 3*4/60*5 and b?
11
Let c = 119 + -63. What is the smallest common multiple of 40 and c?
280
Let a = -28 - -98. What is the least common multiple of 30 and a?
210
Let z = 61 - 7. What is the smallest common multiple of 69 and z?
1242
Let d = 13 - 11. Suppose 7*a - 3*a = -o - 2750, 5*o + 13768 = -d*a. Let f = 44121/16 + o. Find the common denominator of f and -91/22.
176
Let g(v) = 341*v**3 - v**2. Let d(x) = x**3 + 5*x**2 + 4*x + 1. Let q be d(-4). Let i be g(q). What is the common denominator of (-5)/((-5)/(i/64)) and 93/8?
16
Let d(u) = -u**3 + 13*u**2 + 15*u - 6. What is the least common multiple of d(14) and 104?
104
Let h = 6651 - 538742/81. What is the common denominator of -37/15 and h?
405
Let r = 132670 - 2012338559/15168. Let c = r - -172535/15168. Calculate the common denominator of 59/16 and c.
16
Find the common denominator of 2*-1*(-16)/(-42) and (-5)/1 - (-630)/(-324).
126
Let k(s) = -6*s**3 - 2*s**2 + 1. Let p be k(-1). Let w be p - 2 - (-7642)/(-8). Let y = 2831/3 + w. Calculate the common denominator of -43/12 and y.
12
Let y = 2 + 0. Suppose j = 5*j, 0 = y*m - 2*j - 4. Let t = -16 - -20. Calculate the least common multiple of t and m.
4
Suppose 0 = 34*j - 9*j - 12750. What is the least common multiple of j and 120?
2040
Let b = 316600/903 - 7382/21. Let h = b - -23389/25585. Let d = h - 27959/10710. Calculate the common denominator of d and 149/12.
36
Let s = -6 + 11. Let j(q) = 4*q - 12. Let f(u) = u**2 - u - 3. What is the least common multiple of j(s) and f(-3)?
72
Let y(r) = -r**3 - 17*r**2 + 22. Let k(a) = a - 4. Let p be k(8). Suppose 0*v = p*v - 40. Calculate the smallest common multiple of y(-17) and v.
110
Suppose 5*y = -5578 - 11422. Let p = y - -13519/4. Find the common denominator of p and -61/14.
28
Let l(t) = 5*t - 2. Suppose 3*m - 4*v - 13 + 1 = 0, 15 = -3*m - 5*v. Suppose -w + 12 + 24 = m. Calculate the lowest common multiple of w and l(4).
36
Suppose -1491 - 504 = -57*o. Calculate the lowest common multiple of 35 and o.
35
Let k = -4 + 6. Suppose k*m + u = -2*m + 115, 2*u + 40 = m. What is the least common multiple of 21 and m?
210
Let n = 142879/3 + -48356. Let g = n - -723. What is the common denominator of g and -58/7?
21
Let o be (-9 + 3)/((-2)/8). Suppose -3*h - o = -4*h. What is the least common multiple of 12 and h?
24
Let p = 16 + -14. Let l = -594 - -4140/7. What is the common denominator of l and (p/2)/(70/270)?
7
Let g(x) = -x**3 + 14*x**2 - 10*x - 28. Let z = -1 + 3. Calculate the smallest common multiple of g(13) and z.
22
Let q(v) be the second derivative of 1/12*v**4 + 3/2*v**2 + 1/6*v**3 - 3*v + 0. Calculate the smallest common multiple of q(-3) and 2.
18
Suppose 75 = 6*s - 57. What is the least common multiple of s and 120?
1320
Let q be 3/(-1668)*(-8)/14. Let n = 30187/23352 - q. What is the common denominator of 73/12 and n?
24
Suppose g + 4*b + 8 = 0, -5*b = -3*b + 6. Let p(z) = z - 10. Let f be p(0). Let h = f - -11. What is the lowest common multiple of h and g?
4
What is the common denominator of 18 + -11 + (-3212)/392 and -79/42?
294
Let m = -1501782547/1842 + 815300. What is the common denominator of m and 137/18?
5526
Let b = 1817 + -1673. What is the smallest common multiple of 176 and b?
1584
Let l(c) = 9*c + 76. What is the least common multiple of 16 and l(-7)?
208
Let d = 329 - 189. Calculate the common denominator of -3/14 and (-5)/d - -1 - 0.
28
Suppose 0 = 40*n + 8*n - 12384. What is the least common multiple of 2 and n?
258
Let w(c) = -23*c**2 + c - 1. Let b be w(2). Let s = b + 237. Let q = s - 2057/14. What is the common denominator of -9/10 and q?
70
Let f(h) = h**3 - 7*h**2 + 8*h - 5. Suppose 11 = 2*p - 1. What is the smallest common multiple of f(p) and 2?
14
Suppose -3*x - 4*s = 14 - 114, 0 = -x + 5*s + 8. What is the smallest common multiple of x and ((-20)/(-50))/(2/60)?
84
Let r = 19 - 12. Let w = 16 + -16. Suppose w = 6*j - 13*j + 70. What is the smallest common multiple of j and r?
70
Let h = 207619/18 - 11528. What is the common denominator of h and -82/33?
198
Suppose -10*h = -11*h + 16. Let i be 31 - (4 + -5 + -3). Let s = i + -23. Calculate the smallest common multiple of s and h.
48
Let o be (2 - 2) + (0 - 15). Calculate the common denominator of 41/16 and (-5)/o + (-247)/(-60).
80
Let a be (-27)/(-136)*1002/(-9). Let z = a + 74/17. What is the common denominator of z and ((-8)/12)/((-20)/(-318))?
20
What is the common denominator of 23/12 and ((-20)/(-12) - 1) + (-918)/442?
156
Let n = 293 + -167. Let r = n - 110. Calculate the lowest common multiple of r and 20.
80
Let w(p) = 4*p - 1. Suppose 4*c + 3 = 7. Let d be w(c). Suppose -d*v + 2*m + 20 = 0, -5*v = -4*m + 5*m - 29. What is the lowest common multiple of 2 and v?
6
Calculate the common denominator of 3 - (-38)/92*(-384)/48 and 64/3.
69
Let d(m) = 2*m**3 - m**3 + 11 + 10 - 14*m - 13*m**2. Let l be d(14). Suppose 0 = 5*w - l + 1. Calculate the least common multiple of w and 1.
4
Let b = 119 - 949/8. Calculate the common denominator of (-8)/(-10)*5 - (-663)/(-54) and b.
72
Let t be (-1 - 1)*(-1 + 2)*-1. What is the common denominator of (9/12*t)/((-108)/(-102)) and -61/20?
60
Let v = -919 - -20237/22. Calculate the common denominator of 6 + (-454)/32 + 8 and v.
176
Suppose 4*y = 3*g + 692 + 164, -891 = 3*g + 3*y. What is the common denominator of -12/17 and ((9/24)/(-3))/(5/g)?
170
Calculate the common denominator of ((-3)/((-90)/21))/(252/(-350)) and -5/4.
36
Find the common denominator of 101/5182 and 5/(-2)*2354/770.
36274
Suppose 3*b - 4*b - 94 = -5*p, -5*p - 94 = b. Calculate the common denominator of (-2 + 16/12)*b/(-48) and 85/16.
144
Let q(g) = -719*g - 1. Let x be q(-5). Let s = -14473/4 + x. Find the common denominator of s and -47/12.
12
Suppose -12 - 42 = -3*u. Calculate the least common multiple of u and 276.
828
Let d = -32 + -36. Let y = 69 + d. Calculate the smallest common multiple of 6 and y.
6
Suppose -2*n + 4*n = 14. Calculate the least common multiple of n and (1 - 0 - 3) + 4.
14
Let f = -2906 + 20288/7. Suppose 4*x - 2*u = -4*u - 112, 0