
Let x be (340/169 - (4 + -2))/(-2). Let t = 867/3718 + x. Find the common denominator of t and 101/10.
110
Let t(h) = 6*h**2 + 4*h - 1. Let f be t(-3). Let v = -23 + f. Calculate the least common multiple of 8 and v.
72
Let k be (10/4 - 3)*-10. Let n be (-84)/15 - 2/k. What is the common denominator of 5/9 and (n - -4)/((-20)/(-106))?
45
Let a = 699/2 - 5553/16. What is the common denominator of (12561/(-790))/(4/(-5) + -1) and a?
48
Find the common denominator of -59/16 and ((-2)/44)/(228/(-10146)).
176
Suppose 21*d - 22*d - 3*s + 222 = 0, -429 = -2*d - 3*s. Calculate the smallest common multiple of d and 184.
1656
Let k = 38 + -47. What is the common denominator of (78/24)/(k/(-2)) and -91/2?
18
Let m = 971 + -3925/4. What is the common denominator of m and -79/24?
24
Let z(s) = 140*s - 280*s + 136*s + 18*s**2. What is the least common multiple of 20 and z(1)?
140
Let k(i) = -18*i - 349. Calculate the least common multiple of k(-33) and 70.
490
Let t(n) = 14 - 6 + 39*n**2 - 48*n**2 - n + n**3. Let r be t(9). What is the common denominator of 1 - r - 75/(-35) and -93/8?
56
Let d(s) = s**2 + 10*s - 159. Calculate the lowest common multiple of 558 and d(-19).
1116
Let m = 939 + -913. Calculate the least common multiple of m and 104.
104
Suppose 2*s - 98 = -5*s. What is the common denominator of -93/14 and s/(-91) - 37/78?
546
Let m(z) = -533*z + 1629. Calculate the smallest common multiple of m(3) and 2/((-25)/27 - -1).
270
Suppose 4*y + 1072 = -0*y. Let g = -8039/30 - y. Calculate the common denominator of -101/18 and g.
90
Calculate the common denominator of 22 + -33 + 10810/996 and -10/9.
1494
Let a(j) = -j - 2. Let h be a(-2). Suppose h = -5*k + 5*u, 4*k = k + 2*u. Suppose -y + 30 - 12 = k. Calculate the least common multiple of y and 16.
144
Let t(x) = -6*x**3 - x**2 - 2*x - 2. Let l be t(-1). What is the common denominator of -17/3 and ((-2)/l)/(-4 - 6036/(-1545))?
24
Calculate the common denominator of 1055/(-550) - (-7)/(-105)*6 and -19/14.
154
Let d = 658 - 532. Calculate the smallest common multiple of d and 28.
252
Suppose -121 - 14 = -5*b. Calculate the lowest common multiple of ((-4)/(-3))/2*12*3 and b.
216
Let k = -4/1135 - -42067/20430. Calculate the common denominator of k and -121/234.
234
Suppose -3*s = 4*z, z - 2*s = -5*s - 9. Find the common denominator of z - -1*69/12 and 27/52.
52
Let v(k) = 168*k + 1. Let s be v(1). Calculate the common denominator of (-6)/(-33) + (-2)/528*s and 41/6.
24
Let i be (-1)/4 + (-12627)/(-1596). Let j = -31/133 + i. Find the common denominator of j and (5068/(-72))/7 + 5.
126
Suppose 2*m + 8 = 4*m. Let v = 3 + 0. What is the least common multiple of m and (-3)/(v/6*-2)?
12
Let c = 10 + 2. Let g be 1 - -3*c/(-9). Find the common denominator of 99/10 and g/6*355/10.
20
Let t be ((-34)/8)/((-6)/24). Let c = -9 + t. Let g = 31 - 17. Calculate the lowest common multiple of g and c.
56
Let u be (-5)/(-20) - 72106/8. Let p = 345603871/16 + -21609258. Let v = u - p. Calculate the common denominator of 75/14 and v.
112
Let q(a) = a**3 + 4*a**2 - 4*a - 6. Suppose 56*x + 12 = 60*x. Suppose s - 3*f + 3 = 2*f, x*f = s - 1. Calculate the lowest common multiple of q(-4) and s.
70
Let l(d) = -17*d - 497. Calculate the lowest common multiple of l(-31) and 85.
510
Suppose 13 = 4*q - 3*o, 5*q - o + 0*o - 8 = 0. What is the common denominator of 3 - (q - (-176)/38) and -47/11?
209
Suppose 10 = u + n, 0 = 2*u + 5*n - 14 - 12. Suppose -77 = -u*p + 19. Calculate the least common multiple of 2 and p.
12
Suppose -5*c + 9*y + 7 = 10*y, -4*y - 14 = -c. Suppose g = 4*n + 34, 0 = -0*g + 4*g + 2*n - 118. What is the lowest common multiple of c and g?
30
Suppose -3*z + 43 + 11 = 0. Calculate the least common multiple of 2 and z.
18
Find the common denominator of ((-2)/3)/((-28)/(-255)) and (-276)/72 + (3/9)/(-1).
42
Suppose 2555 = 17*n + 56*n. Calculate the smallest common multiple of n and 28.
140
Let i = -35 + 19. Find the common denominator of -36/11 and 82/i + (-7 - -7).
88
Let n = -16 + 20. Suppose 5 = 5*w + 3*h, 3*w - n = -3*h + h. What is the common denominator of 31/4 and (((-49)/w)/1)/6?
12
Let v = 35 + -11. Let c be 1130/v + 4 - 1. Let w = c + -113/4. Calculate the common denominator of w and 81/8.
24
Calculate the common denominator of -145/6 and (-18)/120*(-15)/(-3).
12
Find the common denominator of 17/30 and (-2548)/(-1680) - 1/(3 - 2).
60
Suppose 2*l = 3*a - l - 6, 3 = -2*a - 5*l. Suppose -41 = -8*y - a. What is the lowest common multiple of 11 and y?
55
Let f = 187 + -172. Calculate the smallest common multiple of f and 15.
15
What is the common denominator of ((-1)/(-3))/(14/348) and 2337/54 + 4/18?
14
Let q be (-54)/(-30) + (-2)/(-10). Suppose -q*i = -i - 32. Calculate the common denominator of -59/10 and (3 - 66/i) + 1.
80
Suppose 38*f - 1728 - 4656 = 0. What is the smallest common multiple of 8 and f?
168
Let g = 47/2 + -605/24. Find the common denominator of g and -41/96.
96
Suppose -9*f = -2*f - 49. Find the common denominator of (-1)/(-2)*(2184/9)/f and -61/8.
24
Let a(y) = -y**2 - y + 4. Let k be a(0). Suppose 4*s - 4 + 0 = -2*n, s = k*n - 17. Find the common denominator of (15/(-2) - 2)/n and 29/8.
8
Suppose 2*m - 312 = -4*w, 2*w - 10 - 146 = m. Calculate the lowest common multiple of w and 282.
3666
Let z = 18 - 12. Let a(n) = -87*n + 10. Calculate the least common multiple of a(0) and z.
30
Let q = -24 - -42. Suppose 5*h = 2*c - 30, -5*c - h - 5 + 53 = 0. What is the least common multiple of c and q?
90
Let d be (20/(-50))/((-2)/20). Suppose 5*s - 7 = -3*m, 5*s - d = 6. Find the common denominator of m/2 - (-123)/(-27) and -85/12.
36
Suppose -l - 2*l + 12 = 0. Suppose l - 13 = -g. Calculate the smallest common multiple of 6 and g.
18
Let n = -10 - -14. Let b(o) = -30*o - 1249. Calculate the lowest common multiple of n and b(-42).
44
Let b be (3597/108)/(76/12). Let z = b + -1/114. Let h = -269 - -1879/7. What is the common denominator of z and h?
28
Let p(w) = 133*w**2 + 12*w + 29. Calculate the least common multiple of 5 and p(-2).
2685
Let z = 7 - 5. Let s = z - 1. Let x(i) = -i**3 + 10*i**2 - i - 66. Calculate the least common multiple of s and x(9).
6
Find the common denominator of 4588/(-496) + -2*(-3)/(-1) and 73/166.
332
Let k be ((-9)/(-12))/((-1)/8). Let h = -3 - k. Suppose -3*c + 5 = 5*w, -40 = -5*c + 3*c + 4*w. Calculate the least common multiple of c and h.
30
Let c = -45 - 120. Calculate the common denominator of 27 and 1 - 8/(320/c).
8
Let i(f) = f**3 - 5*f**2 - 6*f + 2. Let h be i(6). Suppose 2 = -c + h*c. What is the common denominator of 36/7 and (1/c)/((-10)/106)?
70
Suppose -10 = -2*v + v + 5*w, 0 = 5*v - 2*w - 4. Calculate the smallest common multiple of 0 - -14 - v/1 and 22.
154
Let z be 9/6 - (-1318)/(-1012). Let s = -15/23 + z. Let c = s - -24/77. What is the common denominator of c and 13/3?
21
Let l = 15 - 8. What is the least common multiple of 1 and l?
7
Suppose -5*y - o = -0*y - 341, 2*o = -y + 70. What is the smallest common multiple of 172 and y?
2924
Suppose 0 = 4*i - 86 - 2. Suppose 56 = 17*q + i. Suppose k + 45 = 6*k. Calculate the least common multiple of q and k.
18
Let d(z) = -z**2 - 11*z - 12. Let w be d(-8). Suppose -23 = -5*a - 3. Calculate the least common multiple of w/16 + 5/4 and a.
4
Let b = 15 + -12. Suppose -2*m - 9 = -3*l, 0*l + b = 3*l - 4*m. Suppose l*q + 51 = 2*q. What is the common denominator of q and -1/5?
5
Let g be (-6)/14 - (-202908655)/(-1540). Let k = -131747 - g. Let m = 109/22 + k. Find the common denominator of -75/56 and m.
56
Let o be (-3 - 0 - -4) + 4. Suppose o*u - 27 = -3*i - 0*i, -u = -3. What is the lowest common multiple of 9 and i?
36
Let r(x) = -x**3 - 6*x**2 + 4*x - 6. Let v be r(-6). Let a = v - -44. What is the least common multiple of 18 and a?
126
Let x = 9741399/140 - 69582. What is the common denominator of -131/140 and x?
140
Suppose 3*v - 37 = -0*d - d, -4*v + 42 = 5*d. Let f be (v/(-26))/((-1)/2). Calculate the common denominator of (-492)/56 - (0 - f) and -85/2.
14
Let q = 595 - 584. Suppose -5*j + 10 = 2*l - 10, 2*l = -2*j + 14. Calculate the smallest common multiple of l and q.
55
Let j = 2573/18 + -143. Calculate the common denominator of 5/21 and j.
126
Let o = 338861/35208 - -2/4401. Let p be -106*3/(18/(-2