 - 6*b**2 - 8. Let w be i(6). Let x = w - q. What is the smallest common multiple of x and 7?
63
Let z be (-16)/(-2)*1*-1. Calculate the common denominator of (234/(-35))/(z/(-10)) and ((-4)/128)/((-5)/510).
112
What is the common denominator of ((-112)/110)/(2 + (-48)/15) and -68/27?
297
Let k = -170/77 + 11723/462. What is the common denominator of (-1)/(-20)*(5 + -2) and k?
60
Suppose 0 = 3*c - 46 + 10. What is the least common multiple of -2*(-8 + 1) + 4 and c?
36
Suppose t - 5*c - 989 = 6679, -15366 = -2*t + 4*c. Suppose -2*w = -t - 599. Let b = -66377/16 + w. What is the common denominator of -85/6 and b?
48
What is the lowest common multiple of 7 and 0 + 0/(-4) - -2?
14
Find the common denominator of (-234)/(-27)*6/(-10) and 22/3.
15
Let v = -41 + 53. Calculate the least common multiple of 27 and v.
108
Find the common denominator of (-716)/140 + (2 - 39/15) and ((-2)/(-20))/(2/26).
70
Let a(d) = -d**3 - 15*d**2 + 5. Calculate the lowest common multiple of a(-15) and 14.
70
Suppose -4*d - r + 1113 = 2*r, 2*d = -4*r + 564. Let s = 635/2 - d. What is the common denominator of 91/6 and s?
6
Suppose -2*s - 56 = 4. Let y be (s/20)/((-3)/40). Calculate the common denominator of 5/4*31/y and -77/10.
80
Suppose -4*i + 3 + 11 = 3*w, i + 1 = -3*w. What is the smallest common multiple of i and 6?
30
Let q(a) = -a**2 + 5*a + 4. Let f be 40/(-12)*3/(-2). What is the smallest common multiple of q(f) and 14?
28
Suppose 6 = y + 2*s - 5*s, -3*s - 78 = -5*y. What is the smallest common multiple of 6/(-2)*(-22)/3 and y?
198
Let o be 49 + (2 - (-1 + 1)). Let m = -2193 - -8833/4. What is the common denominator of m and -1 - o/(-54) - 1?
36
Let m = -27 + 35. What is the least common multiple of m and 50?
200
Let j = 11 + -3. Calculate the least common multiple of j and 2.
8
Let w = -2573 + 35929/14. Calculate the common denominator of 309/42 - 2/7 and w.
14
Suppose 7*k - 2*k = 2*w + 15, 5*w + 4*k = -54. Let a = w + 15. What is the lowest common multiple of a and 10?
10
Let q = 5362 + -75107/14. Let d be (-30326)/18 - (-12)/(-54). Let i = -20149/12 - d. What is the common denominator of i and q?
84
Let k(y) = 2*y - 1. Let x be k(2). Suppose 0 = -9*r + 5*r + 40. Suppose r = x*w - w. What is the lowest common multiple of w and 10?
10
Suppose 38 - 104 = -3*s. Suppose 2*y = -2*i, -3*y - 12 = -i - 2*i. What is the smallest common multiple of 87/9 - i/(-6) and s?
110
Suppose 0 = -i - 2*u + 3, -3*i + 6*i - 2*u - 25 = 0. Calculate the least common multiple of i and 6.
42
Suppose -184 = -5*r + 2*g + 50, g = 3. Find the common denominator of -43/11 and 2/10*(r + -1).
55
Let n(d) = -2*d**3 + 3*d**2 - 2. Let o be n(2). Let k be (2/o)/((-4)/78). Let i = -4 - k. What is the common denominator of i and 87/14?
14
Let q = 8 - 5. Let d(v) = 2*v + 7. Let k be d(3). Let p = k - q. What is the smallest common multiple of 7 and p?
70
Suppose 2*o - 41 = 43. What is the common denominator of 100/o + 2/(-12) and 93/20?
140
What is the common denominator of 1032/448 - (-8)/14 and -8/3?
24
Let i(k) = 3*k - 12. Suppose 3*z + 36 - 9 = 2*w, -4*w + 39 = -z. Calculate the least common multiple of w and i(5).
9
Let m = 2/47945 - -958718/4362995. Let j = m - -2923/364. Find the common denominator of -109/14 and j.
28
Suppose -2*l + 8 = -5*c, 3*c - c - 20 = -5*l. What is the least common multiple of 8 and ((1 - c)*-4)/(-2)?
8
Suppose -6 = -14*k + 8*k. What is the smallest common multiple of k and 5?
5
Let a = 1/8120 + -49737/16240. Let j be -1 + ((-487)/(-1) - -2). Let u = j - 1967/4. Calculate the common denominator of a and u.
16
Find the common denominator of -2 - ((-190)/8)/(-5) and 99/8.
8
Find the common denominator of (-354)/(-165) + (-6)/(-15) and 13/5.
55
Suppose -3*a + 30 = 2*a. Let r = 115879/12 + -9663. What is the common denominator of r and ((-4)/8)/(a/(-26))?
12
Let z = -7 + -11. Suppose -3*v + 380 = 2*v. What is the common denominator of 8/z*v/8 and -45/4?
36
Let s = -3/980 - 4757/980. Suppose -4*d = -2*b + 2, -b + 5*d + 22 = -5*b. Calculate the common denominator of s and b/12 + 194/72.
63
Suppose -4*a = 3*b - 5, 3*b + 5*a = 1 - 0. Suppose -75 = -0*y - 3*y - 4*f, 0 = -4*y + 4*f + 72. What is the smallest common multiple of 74/14 - 6/y and b?
35
Suppose -6 = -3*i, -85 - 121 = -4*g - 3*i. Calculate the lowest common multiple of g and 15.
150
Let h(i) = i**3 - 8*i**2 - 9*i - 8. Let w be h(7). Let c = 953/8 + w. Calculate the common denominator of c and -9/2.
8
Let m(i) = -i**3 + 5*i**2 - 2*i + 1. Let k be m(2). Calculate the common denominator of -37/9 and (k/(-10))/(30/(-320)).
45
What is the lowest common multiple of -1*(-3)/(-3)*-4 and 12?
12
Let r = -716/7 - -754/7. Let c = 41 - 327/8. Let s = c - -31/72. What is the common denominator of r and s?
63
Calculate the lowest common multiple of 1/10*6*(1 - -9) and 16.
48
Let j = -243 - -2419/10. What is the common denominator of 131/18 and j?
90
Suppose -9 = 3*p, -3*p + 8*p = -5*j + 45. Let u = 114 - 481/4. Calculate the common denominator of ((-4)/j)/((-4)/(-510)) and u.
4
Let n = -29 + 165. Suppose 4*s = -4*t - n, 7 + 30 = -t - 2*s. Let u = t + 47. Calculate the lowest common multiple of u and 18.
144
Let r be -6*2 - -1*2. Let w be (-1)/(-2)*(2 - r). Calculate the lowest common multiple of 6 and 4/6 - (-50)/w.
18
Let h be 29/1 + (12 - 9). What is the common denominator of 19*2/h*1 and 58/(-72) - 2/8?
144
Calculate the common denominator of (-5)/3*242/132 and -7/16.
144
Let g = -6 - -9. Suppose 31 + 11 = g*c. Calculate the smallest common multiple of 14 and c.
14
Calculate the lowest common multiple of 24 and ((-4)/(-8))/((-3)/(-4))*9.
24
Let s = -1 + 2. Let d(l) = 9*l**2 - l. Calculate the least common multiple of d(s) and 20.
40
Let d be ((-8)/24)/((-1)/(-6)). Let i = d - -10. What is the lowest common multiple of 18 and i?
72
Calculate the common denominator of (((-275)/(-18))/5)/(2/(-4)) and 9.
9
Find the common denominator of 131/18 and 181/60 - (-18)/(-27).
180
Let m be 8765/(-3 - 58/(-30)). Let i = m + 8221. What is the common denominator of 61/16 and i?
16
Let t = 1 + 1. Suppose -u + 42 = t*u. What is the smallest common multiple of 14 and u?
14
Let r = -133093/10810 - -13/1081. Find the common denominator of -113/20 and r.
20
Let p = 35715/8 - 4457. Calculate the common denominator of -67/16 and p.
16
Let l = -6/743 + -49727/6687. What is the common denominator of l and 51/10?
90
What is the common denominator of -51/50 and (-13)/(52/216)*1/5?
50
Let s(w) = -w**3 + w**2 + w + 1. Suppose 4*r - 7 - 5 = 0. Let z = r - 5. Calculate the least common multiple of 5 and s(z).
55
Let o = -2009/12 - -327/2. Let l = -11017/3 + 66217/18. Calculate the common denominator of o and l.
36
Let t be (316/(-3))/((-7)/(-42)). Find the common denominator of 31/2 and t/192*(-3)/(-2).
16
Let o be 96 - (-6)/(6/(-2)). Let r = 193/2 - o. Calculate the common denominator of r and 18/(2*4/(-14)).
2
Let q(j) = -2*j - 4. Let v be q(-5). Let r be (-8)/(-3)*(-9)/(-6). Suppose -2*z - v = -2*y, r*z - 5*y + 9 = -7. What is the smallest common multiple of 3 and z?
3
Suppose 27 = a + 5*j, -a + 3*a + 4*j - 36 = 0. Calculate the least common multiple of a and 12.
12
Let k(q) = 25*q + 1. Let u be k(-2). Let x = 240529/28572 + -4/2381. What is the common denominator of u*(-1 + 2/4) and x?
12
Suppose 0*m - m = -18. What is the lowest common multiple of ((-18)/(-15))/((-3)/(-20)) and m?
72
Let x = -10 - -15. Suppose 3*h = -x*w + 22, -h + 8 = 3*h - 4*w. Let s(t) = 10*t**2 - t. Calculate the lowest common multiple of h and s(-1).
44
Let j = 156 + -337/2. What is the common denominator of 28 and j?
2
Find the common denominator of 22/7 and ((-33)/(-8))/((-3)/(-20)).
14
Calculate the least common multiple of 1 and 2*(5 + -9)*(1 + -2).
8
Calculate the common denominator of 1 - 1 - 327/(-54) and 97/14.
126
Suppose -o - 2 = -4*f + 4, 2*o - 5*f = -9. Let x = 489/8 + -62. What is the common denominator of (2/(-8))/(o/(-31)) and x?
8
Let m = -6647 - -252689/38. Calculate the common denominator of 77/18 and m.
342
Let d be (1 + -3 - -1) + -25. Let i be (6/d)/(7/(-311)). Let v = i - 228/13. Calculate the common denominator of v and 7/10.
70
Let a = -8 - -14. What is the lowest common multiple of a and 66?
66
Suppose -2 = 2*y + 2, -4*k - 5*y + 270 = 0. Suppose 5*q = -0*q