k(z) = -z**2 - z. Let s(t) = -8*t**2 + 5*t - 4. Let c(d) = -6*k(d) + s(d). Let l be c(7). Let r = -5 - l. What is the least common multiple of 4 and r?
20
Let b(j) = j**2 + 5*j + 4. Let w be (-1 - 9)*(-24)/16. What is the least common multiple of ((-10)/15)/((-2)/w) and b(-6)?
10
Let j(m) = 2*m**3 - 4*m + 7. Let f be j(-7). Let r be (5182/8)/((-3)/3). Let g = r - f. What is the common denominator of g and 63/10?
20
Let v = -1216999/86 + 14151. What is the common denominator of v and -11/16?
688
Suppose 4*c - c - 24 = -3*z, -z + 5*c - 4 = 0. Let u = z - -3. Suppose -4 = -3*j - 1. Calculate the smallest common multiple of u and j.
9
Suppose -k - 5 = 7. Let u(m) = -2*m**3 + 2*m**2 + 4*m - 6. Let h be u(4). What is the common denominator of 0 - -3 - h/k and -25/9?
18
Let o = -2533/4 - -914357/1444. Let r = 19897/1083 + o. What is the common denominator of r and (1/(-2))/((-2)/122)?
6
Let w(z) be the second derivative of -z**5/20 + 5*z**4/12 - z**3/2 + z**2/2 - 5*z. Calculate the lowest common multiple of 7 and w(3).
70
Let m = 12 - -10. Calculate the lowest common multiple of 130/6 - (-1)/3 and m.
22
What is the common denominator of 61/236 and (-205)/48 - (-10)/(-15)?
944
Let w be (24/5)/((-18)/2655). Let s = 7001/10 + w. What is the common denominator of s and 57/14?
70
Let h be (-1 - (-5 - -3)) + 20. Calculate the lowest common multiple of 7 and ((-6)/(-21))/(3/h).
14
Suppose -3*l = -2*l - c + 7, -5*l = 3*c + 19. Let j = l - -11. Let a = -4 + j. What is the lowest common multiple of 6 and a?
6
Let u be (42/(-35))/((-1)/(-85)). Let m = 437/4 + u. Calculate the common denominator of m and -39/10.
20
Suppose 5 = -0*a + a + y, 4*a + 7 = 5*y. Calculate the common denominator of -71/8 and a.
8
Let a(j) = 10*j**2 - 2*j - 1. Let d be a(-1). Let c = 27 - d. Calculate the lowest common multiple of 8 and c.
16
Let t = 0 - -5. Let h(r) = -r + 14. Let q(g) = g**3 - 6*g**2 + 7*g - 2. Let x be q(5). What is the lowest common multiple of t and h(x)?
30
Let j(k) = 2*k - 7. Suppose 0*q - 9 = 3*q. Calculate the least common multiple of j(5) and (4/(-6))/(2/q).
3
Let u(o) = 5*o - 21. Calculate the smallest common multiple of 36 and u(5).
36
Let g = 8/1399 - -765189/11192. Let k = 8309/120 - g. Find the common denominator of -31/9 and k.
45
Let n be (-4)/3 - 2/3. Calculate the common denominator of 175/12 + n/6 and (-178)/120 + (-2)/3.
20
Let h be -1 + (10864/(-5433))/(-2). Let v = -164803/10866 - h. What is the common denominator of v and -77/12?
12
Let u(q) = 7*q + 325. Let z(c) = -7*c**3 - 2*c**2 - c. What is the least common multiple of u(-46) and z(-1)?
6
Let z = 14 + -4. Suppose 0 = -j + z - 2. Calculate the smallest common multiple of j and 18.
72
Suppose -i + 5*s = 2*i - 2, 2*i - 2*s = 0. What is the common denominator of 16/11 and (-159)/21 - (i + 0)?
77
Suppose -3*l - 123 = -138. Let i = 3 - 2. What is the smallest common multiple of l and i?
5
Let q = 30 - 94. Let m = 2667/20 - 669/5. Calculate the common denominator of m and (1 - 7)/(q/(-34)).
80
What is the lowest common multiple of (15 - 15) + (-8)/(-1) and 18?
72
Let x(y) = y. Calculate the least common multiple of 11 and x(1).
11
Suppose -2*l + 4*d = 400, 0 = 2*l + 4*d + 182 + 226. Let x = l + 655/3. What is the common denominator of x and (2 + -7)*14/(-6)?
3
Let s be (-20)/30 - 22/(-6). Let g be s + (-1431)/4 + -3. Let c = 337 + g. Find the common denominator of c and 52/5.
20
Suppose -19*s = -191 - 493. What is the least common multiple of s and 8?
72
What is the least common multiple of 6 and ((-24)/16)/((-2)/4)?
6
Suppose 0 = 13*j - 888 - 750. What is the smallest common multiple of 8 and j?
504
Suppose g = -2*g + 6. Find the common denominator of (g - 53)*2/4 and -85/8.
8
Let r(c) = -4*c - 4. Let l be r(-4). Let m be (-5)/10*l*-2. Suppose -f - 2 = -m. Calculate the smallest common multiple of 20 and f.
20
Let x = 1/158 + 1341/316. Find the common denominator of 74/14 - (0 - 1) and x.
28
Let h(q) = q + 23. Let z be h(-16). Suppose -4*p + 21 = -z. What is the lowest common multiple of p and 5?
35
Find the common denominator of -69/4 and ((-1)/3)/((-50)/(-235)).
60
Let t(j) = -5*j + 3. What is the smallest common multiple of t(-1) and 10?
40
Suppose -2*h = 4*i - 26, 2*i - 1 = 3*h - 0. Let j = h - 2. What is the lowest common multiple of j and 3?
3
Let c(y) = -y + 4. Calculate the smallest common multiple of c(3) and 5.
5
Let x = -83 - -161. Calculate the least common multiple of 6 and x.
78
Suppose 0 = -3*h + 5*h - 12. What is the least common multiple of (-126)/(-15) + (0 - 2/5) and h?
24
Let f = -727 - -20449/28. What is the common denominator of -101/2 and f?
28
Let h(z) = z**2 + 2*z + 1. Suppose 4*j - 9 - 11 = 0. Let b = j + -7. What is the lowest common multiple of h(b) and 10?
10
Let u(j) = -j**3 + j**2 - 2*j + 9. Let a(z) = -z**3 - 7*z**2 - z - 7. Let d be a(-7). Calculate the lowest common multiple of 5 and u(d).
45
Let x = 14 - 10. What is the smallest common multiple of x and (-4)/(-14) - 216/(-28)?
8
Let m(q) = -3*q + 9. Calculate the lowest common multiple of 10 and m(-5).
120
Let s be (-85650)/(-28)*4/(-6). Let u = s + 2035. Find the common denominator of -58/5 and u.
35
Let i be (-5)/4*(-64 + 4). Suppose -3*a = 4*v - i, -2*a - 3*a = 4*v - 77. What is the lowest common multiple of v and 45/10*16/6?
36
Let f = 2010 + -15997/8. What is the common denominator of f and -67/8?
8
Let a = -52/15 - -92/15. Let z = -275/6 - a. What is the common denominator of z and 101/16?
16
Let u = 245130224869/1407 - 174221916. Let j be 2815/4221 + 2/(-3). Let t = u - j. Find the common denominator of t and -18/11.
99
Let u = -6850 - -68427/10. Calculate the common denominator of u and 83/2.
10
Suppose 10*a - 5*a = -75. Let b be (-5)/a + (-16)/(-6). Suppose 0 = -4*f + i + 78, b*f = f + 2*i + 36. What is the smallest common multiple of f and 18?
180
Let h = 110 - 190. Find the common denominator of 998/h + (-15)/(-25) and 119/6.
24
Suppose 5*q = 4 + 1. Let w = -12355/8 + 1542. What is the common denominator of (q/(-2))/((-5)/38) and w?
40
Calculate the common denominator of 5 + ((-2940)/88)/5 and -77/20.
220
Suppose -6*c = c - 84. Calculate the least common multiple of 20 and c.
60
Let p = -5523 + 88329/16. What is the common denominator of p and -31/4?
16
Let v = -1 + 0. Let p = 16 + -56/3. Find the common denominator of p and (v/12)/((-3)/172).
9
Let d = 19 + -11. What is the lowest common multiple of 25 and d?
200
Let b be 43/5 - 6/(-15). Let t = b + -3. Suppose -t*v + 70 = -v. Calculate the least common multiple of 8 and v.
56
Suppose -2*u = 4*s - 20, 2*s + 2*u - 3 = 5. What is the lowest common multiple of 13 and s?
78
Suppose -3*x + 88 = 2*v, -4*x + 5*x - 20 = -3*v. Let r be 5428/(-18949) - 4/(-14). Let p = r - 56827/27070. Find the common denominator of x and p.
10
Find the common denominator of ((-2)/(-4))/(2/3) and ((5/9)/5)/(-1).
36
Let z = 199417/16 - 12468. Calculate the common denominator of z and -131/18.
144
Let n be (-46)/(-4) - 6/12. Let j = -6681/2128 + -1/304. Calculate the common denominator of j and (6/(-2) + 41)/n.
77
Let w = 61 + -49. Calculate the least common multiple of 12 and w.
12
Let s = -2360/9 - -10043/36. Let b(h) = -h**3 - 4*h**2 + h - 4. Let l be b(-3). What is the common denominator of s and -10*23/l + -2?
8
Let p = 27301/1743 - -2/581. Find the common denominator of p and 5/20 - 263/12.
3
Calculate the common denominator of ((-250)/44)/5 + -8 + 11 and -143/12.
132
What is the common denominator of 16/(-12)*202/16 and (-376)/(-36) + (-3 - -1)?
18
Let f = -22375/5126 + 138/233. Find the common denominator of -41/174 and f.
1914
Suppose -26 - 4 = -3*u. Suppose -s - 3*s = -2*i - 2, -3*i - 2*s + 37 = 0. What is the lowest common multiple of i and u?
90
Let l = -15979/60 - -1322/5. Find the common denominator of 1*-2 - 117/(-20) and l.
60
What is the smallest common multiple of 16 and (0/(-2) + -2)*-11?
176
What is the common denominator of 172/2*4/(-16) and 65/22?
22
Suppose 5*l - 4*x + 5*x - 85 = 0, x - 37 = -2*l. What is the smallest common multiple of l and 20?
80
Let r = -294978783385/36 - -8192627943. Let h = -4919459/4 - r. Let c = 2706 + h. What is the common denominator of c and 73/22?
198
Find the common denominator of 3/((-7)/((-105)/(-8))) and 65/4.
8
Let y(h) 