?
72
Let n = -89617 + 355491/4. Let h = 768 + n. Calculate the common denominator of h and -41/9.
36
What is the common denominator of (12*(-3)/(-9))/((-84)/(-62)) and 47/18?
126
Suppose 5*r = 5*n - 177 - 53, -82 = -2*n - 3*r. Let c = 32666/11 - 2972. Calculate the common denominator of n and c.
11
Suppose 0 = 3*s - 5*s + 1638. Suppose -s = 5*r - 249. Calculate the least common multiple of 4 and (-4)/10 - r/10.
44
Calculate the smallest common multiple of 6 and 28/3 - (-3)/(9/2).
30
Let x = -30073/14190 + -11/645. Let d be (22/(-3))/((-7)/63). Calculate the common denominator of x and (-55)/d*(-34)/(-10).
66
Let m(r) = 5*r + 4. Let z be m(3). Let l = z + -11. What is the least common multiple of 7 and l?
56
Let s = -238664146491/75800464124 - -9/14034524. Let m = -6/491 - s. Calculate the common denominator of 45/14 and m.
154
Suppose 2*a = 4*w, 5 = 2*w + 3. Suppose -5*b + 28 = j - 19, -a*b + 120 = 5*j. Let y = -4 - -20. What is the least common multiple of j and y?
176
Let z = -161527/22 - -7345. What is the common denominator of z and (-3274)/(-264) + 6/33?
132
Suppose 3*g - h - 21 + 0 = 0, 0 = -5*h. Suppose 0*a - 2*a + g = -r, -3*a = 3. What is the common denominator of r and 29/6?
6
Suppose -a + 0 + 6 = 0. Calculate the smallest common multiple of (8/6)/(1/9) and a.
12
Let y be (3 + -39)*2/(-3). Suppose -5*w + y = -0*w + 4*j, 8 = -2*j. Calculate the lowest common multiple of 16 and w.
16
What is the common denominator of 124/30 + 2/3 and -21/11?
55
Let b = -2691/2212 - 1/8295. What is the common denominator of -89/54 and b?
540
Let p(x) = x**3 + 5*x**2 + x + 6. Let t be p(-5). What is the common denominator of -21/22 and 3/(192/124) + t?
176
Suppose -4*m + 0*m = 56. Let a be (-328404)/56 + (-4)/m. Let z = a + 5867. Find the common denominator of z and 17/20.
140
Suppose 2*h - 11 = h. Suppose -5*q = -q - g - 39, 24 = 2*q - 2*g. Calculate the least common multiple of q and h.
99
Let k = -3487/4 - -893. Calculate the common denominator of -55/18 and k.
36
Let p = -1/347472 - 165486757/115824. Let n = p + 1424. Find the common denominator of n and 2/(24/(-310)) + (2 - 1).
18
Calculate the least common multiple of (-2)/13 - (-6 - 952/104) and 3.
15
Let d be ((-48)/(-15) + -2)*5. Let i(q) = -q**2 + 7*q - 2. What is the lowest common multiple of 8 and i(d)?
8
Let m = 6821 + -41015/6. What is the common denominator of m and -109/20?
60
Suppose -j - 5*i = 2*j - 45, 0 = -i + 3. Let q be j/4*(-183)/425. Let z = -13763/1020 - q. Calculate the common denominator of z and 35/16.
48
Let j = -714946894/69867759335 - -646/63197. Let s = j - -713284057/6633330. Let c = 928/11 - s. Calculate the common denominator of c and 24/5.
30
Let a(d) = d - 5. Let v be a(7). Suppose 31 + 3 = v*k - 2*r, -5*k + 91 = r. Calculate the least common multiple of k and (-2 - -4)*(1 + 4).
90
Let q be ((-4)/(-64))/((-38)/(-3)). Let m = -149620404713/40491951840 - 7/13319721. Let f = q - m. Calculate the common denominator of -73/2 and f.
10
Calculate the common denominator of (-23)/(4 + -3 - 7) and 33/2*5/24.
48
Let w = -8 - -11. Suppose 0 = 3*j + 4*z + 1, 5*z + 19 = -1. Calculate the least common multiple of j and w.
15
Let r(m) = 6*m + 14. Let y be r(6). Suppose 10*o = 5*o + y. Let k(b) = 4*b**2 + 2*b - 2. What is the smallest common multiple of o and k(-2)?
10
Suppose 0 = 3*m + 5*a - 5, -4*m + 8*a - 3*a = 5. Suppose 0 = 7*x - 3*x + 3*d - 44, d = m. What is the smallest common multiple of x and 11?
11
Find the common denominator of -21/58 and (-606)/(-9)*(-4)/(-32).
348
Let u(o) = -o**2 - 5*o + 2. Let r(x) be the first derivative of -x**2 + 4*x - 10. Calculate the lowest common multiple of r(-2) and u(-4).
24
Let i(q) = -q - 4. Let g be i(-7). Suppose -b = -13 + g. What is the lowest common multiple of b and 22?
110
Let q(u) = -u**3 - 9*u**2 + 9*u - 7. Let i be q(-10). Suppose 4 = 5*m + i*p - 14, -3 = -3*p. Calculate the least common multiple of 2 and m.
6
Suppose 0*v = -4*v + 332. Let y = 1/18466 - -438563/83097. What is the common denominator of -1 - (v/(-6) + 2) and y?
18
Let f = 8/237 - 20209/1896. Calculate the common denominator of f and 58/3.
24
Let c = -34833238/57 - -611090. Let j = -7/114 + c. Calculate the common denominator of j and -2*(-18)/11 - 0.
22
Let a = -18433343/35 + 526606. Let v = -254/5 - a. Let q = 449/56 - v. Find the common denominator of q and 11/6.
24
Let y be 9/(-6)*(-163151)/(-27). Let v = 23586 + -14516. Let l = y + v. What is the common denominator of -29/8 and l?
72
Let b = -2/51 + -241/357. Find the common denominator of ((-177)/(-18))/((-1)/(-3)) and b.
14
Suppose 5 = v - 5. Let r(p) = p**3 - 6*p**2 + 4*p + 7. Let f be r(5). Suppose 5*h - 9 = f*h. Calculate the least common multiple of v and h.
30
Let x be ((-2)/3)/((-25476)/141651). Let r = 13855 + -2674133/193. Let h = r - x. Calculate the common denominator of -13/20 and h.
220
Let g = -25 + 17. Calculate the common denominator of 2 - (-2 - 25/4) and (-2)/g + 215/(-28).
28
What is the lowest common multiple of ((-6)/(-9))/(3/63) and 6?
42
Suppose -5*d - 4*q + 86 = -74, -3*d - 5*q = -109. Let w = -20 + d. What is the smallest common multiple of w and 10?
40
Let p = 13 - 18. Let y = p + 9. Let n = -582 - -586. Calculate the smallest common multiple of n and y.
4
Find the common denominator of 73/22 and (4 + (-55)/100)/(-1).
220
Suppose -u + 5*a = a - 6, -3*u + 18 = 3*a. What is the smallest common multiple of 24 and u?
24
Suppose -5 - 6 = -y. Calculate the least common multiple of 7 and y.
77
Let g be 3/(-12) - (-3241)/790. Let b = g - -15/316. What is the common denominator of b and -1/4?
20
Calculate the common denominator of -9/2 and (-93)/(-4)*(-1 - 34/(-30)).
10
Suppose 2*w - 6*w + 80 = 0. Calculate the least common multiple of w and 12.
60
Suppose -4*y + 3*y + 16 = 0. Let k(q) = q**3 + 8*q**2 - 8*q + 13. Suppose 1 = -r - 4, -5*r - 34 = o. Calculate the lowest common multiple of k(o) and y.
16
Suppose -d + 0*d - 3 = 0. Let h be (15/(-2))/(d/4). Suppose -60 = -5*l - 2*k, -3*l + 4*k = -h - 0. What is the lowest common multiple of l and 3?
30
Let i = -811/18 - -436/9. Let u = 4676 - 102855/22. Calculate the common denominator of i and u.
198
Suppose r + 10 = 4*l - 26, 44 = 3*l - 5*r. Suppose 0*w + 4*w = l. Suppose 7 = w*i - i. What is the lowest common multiple of 9 and i?
63
Let i = 18116 + -326189/18. Let h = 22 - 36. Find the common denominator of i and 0 - h/(-12)*-11.
18
Suppose -2 - 20 = -d. What is the lowest common multiple of d and 22?
22
Let d(s) = -s**2 - s + 16. Let p be d(0). What is the common denominator of (4 - 1) + (-285)/18 and 99/p + 1*-1?
48
What is the least common multiple of 4 and (-10)/55 - (0 - (-996)/(-33))?
60
Let a be ((-10)/(-3))/(5/15). Let n(f) = -f**2 + 10*f + 12. Calculate the smallest common multiple of n(a) and 2.
12
Let p(y) = -y**3 - 3*y**2 + 5*y + 2. Let q be p(-3). Let z(l) = -l**2 - 13*l + 3. What is the least common multiple of 8 and z(q)?
24
Let c(v) = -2*v. Let z be c(1). Let y be 4*z*3/(-12). Find the common denominator of 79/14 and (-244)/64 + (y - 1).
112
Let g = -2/1027 + -81097/18486. Let r be (-2)/(-6) + 10/(-3). Find the common denominator of 64/r + (-1)/(-2) and g.
18
Suppose 8*h - 27 = 5*h. Calculate the smallest common multiple of 21 and h.
63
Let p(o) = o**3 - 7*o**2 + 9*o + 7. Let v be p(5). Let q(g) = 20*g**2 + g. Let j be q(1). Suppose -j = -l - v*l. Calculate the least common multiple of 2 and l.
14
Let s(b) = b**2 - 2*b + 2. Let i be s(3). Suppose -j - 4*j = -i. Calculate the lowest common multiple of (-1)/j - -6 - -1 and 20.
60
Suppose 2*i - 156 = -4*d, 154 = -3*i + 5*i + 2*d. What is the common denominator of -3*(-5)/(270/i) and -23/5?
45
Let p = -54617/44200 - -1/2600. Find the common denominator of p and 11/7.
119
Suppose -4*s + 2 - 6 = -4*r, 0 = 3*s - 5*r + 7. Calculate the smallest common multiple of s and 11.
11
Suppose 17*l = 6*l + 88. Calculate the smallest common multiple of l and 9.
72
Calculate the common denominator of -85/12 and (-37 - -1)*216/(-192).
12
Let y(v) = v**2 + 8*v + 9. Let k be y(-6). Find the common denominator of (k/6)/(2/(-162)) and 49/10.
10
Suppose 2*q = -3*i + 93, -i + 52 + 200 = 5*q. What is the smallest common multiple of 27 and q?
459
Suppose m + 1 = -3*f, 2*f + 0*f - 4 = 4*m. Calculate the c