**3 + 3*r**2 + 15*r + 22. Let c be d(-2). Find the common denominator of l and 8/(-21) + c + 20.
84
Suppose -58240 = -39*u - 26*u - 63*u. What is the smallest common multiple of 65 and u?
455
Let o(q) = -q**3 + 2*q**2 + 6*q - 4. Let m be o(4). Let c be 78/(((-1)/m)/(10/6)). Calculate the common denominator of (-2)/13 + (-6104)/c and 49/24.
120
Suppose 72 = -8*m + 240. Suppose -m*q + 16 = -13*q. What is the common denominator of (q/48)/(3/(-195)) and 3/8?
24
Let n = 7487 - 7407. Calculate the least common multiple of n and 440.
880
Suppose -3 + 28 = a + 5*b, -b + 5 = -5*a. Suppose a = 2*s + 190 + 120. What is the common denominator of 21/16 and (-2)/(-4) - 5/((-275)/s)?
176
Suppose -r - 3*o = -639, -50*r + 49*r + 633 = 5*o. What is the smallest common multiple of r and 216?
648
Let b(w) = -2*w**3 + 13*w**2 - 8*w + 36. Let s be b(9). Let m = s + 489. Calculate the smallest common multiple of 28 and m.
336
Let h = 145 - 127. Suppose -143 = -h*m - 17. Let u(x) = x**3 + x**2 - 2*x + 1. Calculate the least common multiple of u(1) and m.
7
Let u = 2322 + -32461/14. Calculate the common denominator of (-561)/(-84) + 1 - (-2)/(-8) and u.
14
Let j = -28003821/68750 - -2848/34375. Let d = -2011/5 - j. Let w = 4/2057 + 162407/49368. Calculate the common denominator of d and w.
264
Let u(q) = 309*q - 1300. What is the lowest common multiple of u(5) and 1085?
7595
Let t(l) = 2*l**2 - 10*l + 53. Let x be t(7). Let d = x + -23. What is the lowest common multiple of d and 10?
290
Suppose -1357 - 446 = -u + v, -u = 2*v - 1818. What is the least common multiple of 120 and u?
27120
Let o = -2623083/10 - -262301. Let q = 726819/40 - 18173. Calculate the common denominator of q and o.
40
Calculate the common denominator of ((-22)/(-33))/2 - (-1257)/(-1260) and -87/4.
140
What is the common denominator of -3*35/42 + 56/90 and ((-3)/4)/((-8)/(-76))?
360
Suppose 13 = -l - 3*p - 8, -5*p + 15 = 0. Let m be l/(-112)*(-858)/(-110). Let r = m - -44/7. Find the common denominator of r and 67/2.
8
Let z(j) = 8*j + 268. Let k be z(-33). Calculate the smallest common multiple of 1078/k + 7/14 and 30.
270
Suppose 4*c + 0*c = -4*a + 232, 0 = -a + 2. Let v(m) = 5*m + 14. Let j be v(10). Let s = j - c. What is the least common multiple of 2 and s?
8
Let z be (1708 + 3)*12/(-2120). Let u = z - -84/53. Find the common denominator of 43/11 and u.
110
Let w = -682/61 + 54721/4758. Let q = 8193/8 - 1028. Find the common denominator of w and q.
312
Suppose 19*r = 15*r + 72. Let s be 4/10 - 12*r/15. Let f = 26 + s. What is the lowest common multiple of 2 and f?
12
Let g = 10 - -11. What is the least common multiple of 40*27/(-45)*-3 and g?
504
Suppose 6*f - 46 = -10. Let w(c) = c**3 - 5*c**2 + 7*c - 1. Let x be w(f). Let b = 101 - x. Calculate the least common multiple of 6 and b.
24
Suppose t = 3*t - m - 1623, -4*t + 3281 = 5*m. Suppose 31*v = 42*v - t. What is the least common multiple of v and 12?
444
Calculate the common denominator of 6/20*(-80)/60 + 2 and 2*-2 - (-357)/170.
10
Let l = -4/17573947 + -4795315048091/281183152. Let s = l + 17060. Calculate the common denominator of s and 85/96.
96
Let g be (0 - -2) + 40 + -38 + 44. Let d be 1 + (20/(-2) - 0). Find the common denominator of (d/(-20))/(g/40) and 51/53.
424
Suppose 1971*j - 20 = 1967*j, 0 = 5*y + j - 20. Calculate the least common multiple of y and 4336.
13008
Let d(u) = 13*u - 23. Calculate the lowest common multiple of d(2) and (-12)/15*(-75)/6.
30
Find the common denominator of (40 - -45)*(-7)/84 and 3805/(-720) - 2/(-9).
48
Let m be 0 + 3 + 13/(91/(-504)). Let c = -57 - m. Suppose -i + 10 + 10 = 0. What is the lowest common multiple of i and c?
60
Suppose -n - 10 = -3*n. Suppose 0 = 4*r + 20, -t - 3*r = -5*t - 65. Let p = 27 + t. What is the lowest common multiple of p and n?
35
What is the common denominator of 43/372 and (-200)/(-1900) - (-6903)/(-1140)?
1860
Let c = 27 + -24. Let g(y) = y**3 - 4*y**2 + 3*y - 2. Let o be g(c). Calculate the common denominator of o/14*4/(-6)*-6 and -21/2.
14
Let i = 21 - 15. Let b be (2 - (-164032)/i)*15/(-193820). Let k = b + -18/881. What is the common denominator of k and 23/10?
110
Let y(k) = 39*k**2 + 90*k + 2328. What is the smallest common multiple of y(-38) and 8?
55224
What is the smallest common multiple of 213 + (-154)/(-30) + 32/(-240) and 8?
872
Calculate the common denominator of (-90)/8*(-26)/624 and -149/600.
2400
Suppose 0 = -3*h - f + 168, -4*h + 15*f = 10*f - 224. What is the lowest common multiple of 60 and h?
840
What is the common denominator of -127/60 and ((-168)/1440)/(2/(-106)) + -4?
60
Let x = 143 + -297. Let w = x + 198. What is the lowest common multiple of 24 and w?
264
Calculate the lowest common multiple of 9 and (1116/(-72))/(((-11)/(-44))/((-245)/2)).
68355
Let d(k) = k**2 + 6*k + 12. Suppose 0 = 3*b - 2 - 37. Suppose -23 = 5*j - r + 4*r, 0 = j + 5*r - b. Calculate the least common multiple of 6 and d(j).
114
What is the common denominator of ((-101)/(-8686))/(1/11) and 19/731?
1462
Let k(q) = 3*q**2 - q - 8. Let h be k(2). Suppose h*l = 4*j + 64, -j + 0*j - 115 = -5*l. Let m = 19 - 9. Calculate the smallest common multiple of m and l.
110
Let u be 12 + (-21)/(-14)*-4. Calculate the least common multiple of 8 and ((-572)/110)/(u/(-15)).
104
Find the common denominator of (2/(-64))/((-597)/(-25273)) and (-3)/4 - (-2)/(-3).
96
Let n(r) = -107*r**3 + 3 + 14*r + 12*r**2 + 3 + 108*r**3. What is the lowest common multiple of 22 and n(-4)?
858
Let g = 3/48149 + 337019/385192. Let f be 11/(-8)*343086/(-10). Let a = 47177 - f. Find the common denominator of a and g.
40
Let u(n) = n**3 - 6*n**2 + 6*n + 1. Let i = 75 - 70. Suppose r - 44 = -3*r. Calculate the lowest common multiple of u(i) and r.
66
Let r = -316817 + 418198397/1320. Calculate the common denominator of 49/1716 and r.
17160
Suppose 5*v - 365 = -5*x, -27*x + 31*x - 5*v = 364. Calculate the lowest common multiple of 3240 and x.
3240
Suppose -15*r + 3312 = 3*r. Suppose -r = -k - 163. What is the least common multiple of 33 and k?
231
Let r be (9/(-27))/(1/(-39) - 0). Find the common denominator of (8/7)/(2/r) and 13/11.
77
Let t(r) = -14*r - 354. Let l = 12 - 12. Suppose -2*c + 10 + 6 = l. What is the least common multiple of c and t(-26)?
40
Let p = 19 - 11. What is the least common multiple of -28 + 1 - -15 - -42 and p?
120
Calculate the common denominator of -149/186 and 501/(-620) + 0 + 6 + (-21)/4.
930
Calculate the common denominator of -1/30 and (-531670)/21300 + 20 + 1*5.
2130
Let t(c) = 2*c**3 + c**2 - 9*c + 3. Let i = -86 - -82. Let o be t(i). Let g = o - -91. What is the least common multiple of 22 and g?
198
Let f be (60744/(-80))/(1 + (-5)/3). Let u = -1138 + f. Let s = -34744/5 + 7017823/1010. What is the common denominator of u and s?
2020
Let g(l) = -7*l**2 + 64*l + 3. Let m be g(9). Suppose -6*c = -m*c + 528. What is the least common multiple of c and 72?
792
Let f = -2875 + 2881. What is the lowest common multiple of f and 712?
2136
Let n = -905413875/9251 + 97872. Let x = n + 619943/388542. Calculate the common denominator of -33/2 and x.
42
Calculate the common denominator of 10/(-24)*(-1 - 432/(-84)) and 137/96.
672
Suppose 0 = -f + 5, -4*f + 3*f - 688 = -3*l. Let h = -186 + l. What is the least common multiple of h and 40?
360
Let j(k) = -69*k**2 + 2*k + 2. Let h be j(-4). Let l = -823 - -826. Calculate the common denominator of 83/26 and l - ((-2)/15)/((-48)/h).
156
Let q = -171 - -172. Let j(c) = 163*c**2 - 3*c - 4. What is the least common multiple of j(q) and 12?
156
Let n(y) = -y**3 + 7*y**2 + 2*y + 10. Let z = -26 - -30. Suppose -2*h = -4*h + 4*b + 44, 5*h - z*b - 92 = 0. What is the smallest common multiple of n(7) and h?
48
Find the common denominator of 81/1816 and (-2 + (-82)/60)*891/396 + 8.
9080
Let l = -487 + 479. What is the common denominator of 139/144 and 1/l*(-1652)/(-42)?
144
Let l be (-26664029)/420 - 1*(-4)/(-8). Let b = l + 63489. Find the common denominator of b and -41/55.
660
Let k(l) = 640*l + 652. Calculate the lowest common multiple of 4696 and k(-1).
14088
Let a(f) = -f**3 + 8*f**2 + 2*f - 11. Let h be a(8). Suppose -6 = -y - 3, -3*y = -h*m + 71. What is the least common multiple of 8 and m?
16
Let n be (-2 - -3)*-5 - (-257)/29. Let f = 1940746