
Let z = 280645/872131 + 3/23894. Find the common denominator of z and 111/20.
1460
Let h be 162/195*1/3. Let v = h + 20479/2145. Let c = v - 80/33. Find the common denominator of c and -81/8.
40
Let u = -3/190 + 7131/380. Let g = -126 - -134. Find the common denominator of (-183)/(-21) - (-2)/g*-4 and u.
28
Suppose -47 = 5*s - 0*j - 4*j, -s - 1 = -5*j. Let w = 18 - 14. Calculate the lowest common multiple of w and (-5)/(-5) - s*1.
12
Let b be ((-46)/30)/((-14)/44709). Let z = b - 4902. Calculate the common denominator of (-4)/(-9)*(-190)/16 and z.
90
Let u = -153806 + 49217879/320. Calculate the common denominator of 17/200 and u.
1600
Let d be (-4)/6 - (3 - (-595)/(-15)). Suppose -d - 114 = -10*i. What is the smallest common multiple of i and 24?
120
Calculate the common denominator of 94/2*-1*(-6)/24 and (-398)/60 - 5/25.
12
Calculate the least common multiple of 72 and (17/3 - 5)/((-1)/(-18)).
72
What is the common denominator of (-4 - (-343)/168) + (-10)/4 and 103/6?
24
Let q = 11 + -1. Let w be 6/q - (-1149)/(-15). Calculate the common denominator of 29/10 and 0/(-3) - w/24.
30
Suppose 3*m - m = 3*t - 27, 0 = -5*m + 2*t - 84. Let n = 12 - m. What is the common denominator of ((-93)/n - 1)*-1 and 17/22?
110
Let j be (-3)/(-9) + 90416578640/3894. Let b = j + -23219463. Let h = -10/177 + b. Find the common denominator of -43/5 and h.
55
What is the common denominator of (162/84 + 6)/9 and 167/42?
42
Let n = -107 + 119. Suppose -4*o - 5*l - 4 = -n, -4 = -2*o + l. What is the least common multiple of 138 and o?
138
Let s = 1 - 3. Let i = -111 - -108. Calculate the least common multiple of 14 and -15*s*i/(-15).
42
Let a = 71 + -35. Let q = a + -20. Suppose 2*g + 3*t = 44, -g + t = -0*g - 12. Calculate the lowest common multiple of q and g.
16
Suppose 2*h + 2*s = 196, 2*h + 24*s - 20*s = 192. What is the lowest common multiple of 40 and h?
200
Let r(z) = -z**2 + 10*z - 4. What is the least common multiple of r(5) and (5 - (-30)/(-8))/(2/16)?
210
Suppose 3*v - o = -2*v - 131, 5*o = -v - 47. Let r = v + 47. Calculate the least common multiple of 22 and r.
220
What is the lowest common multiple of (-8)/(-5) + 1638/195 and 46?
230
Let h(j) = j**2 + 4*j + 2. Let y be h(-6). Let i = y + 4. What is the smallest common multiple of i and 6?
18
Suppose 0 = 2*q + 4*g + 12 + 4, 4*q + g = -11. What is the common denominator of 24/11 and 62/3 - q/4?
66
Let j(p) = p**2 - 9*p - 36. What is the smallest common multiple of j(13) and 24?
48
Suppose 2*q - 7 = p, 4*q - 4 - 1 = -p. Suppose 5*n = -5, b - q*n = -0*b + 6. Suppose -b*s + 40 = -16. Calculate the least common multiple of 14 and s.
14
Let j = -4345/14 - -119799/385. What is the common denominator of j and -57/22?
110
Let b(p) = -2*p - 4. Let t be b(-3). Let k(j) = j**3 - j + 4. Suppose 0 = 3*x - 10 - 14. What is the lowest common multiple of k(t) and x?
40
Let w = 33 - 17. Suppose 0 = -4*q, -2*r - 2*q = -0 - 32. Suppose -5*c = -9*c + r. Calculate the lowest common multiple of w and c.
16
Let x = -283397/16 - -17706. Calculate the common denominator of x and 182/(-36) + 0 - 1.
144
Let j(h) = 21*h**2 + 18*h - 95. What is the smallest common multiple of 40 and j(5)?
520
Suppose -56 = -3*r + 70. Let t(b) = -3*b - 6. What is the smallest common multiple of t(-4) and 6/(-21) - (-600)/r?
42
Let a = -756 - -766. What is the smallest common multiple of a and 50?
50
Let f be 177*((-413)/30)/7. Let m = f - -1776/5. Let i = 1383 - 9700/7. What is the common denominator of i and m?
70
Let n be -3 + (-114)/((-4)/(-2)). Let o = -3 - 0. What is the common denominator of (o/n)/((-1)/(-2)) and 69/4?
20
Suppose -511 = -4*u - 35. Calculate the smallest common multiple of 49 and u.
833
Suppose 0 = -t - w, 19 = -3*w + 4. What is the smallest common multiple of t and 30?
30
Let r(a) = -2*a - 16 + 3*a + 3. Let p be r(14). What is the common denominator of (p/5)/(1/57) and 37/5?
5
Let v = -978 + 985. Calculate the lowest common multiple of v and 63.
63
Let r = -3/102859 - -5898037961/1440026. Let i = -4094 + r. Find the common denominator of -31/22 and i.
154
What is the common denominator of 51*6/756 + -3 and -115/42?
42
Let v = 28 - 18. Suppose 4*m - v + 4 = 3*a, -4 = 2*m + 2*a. Suppose -3*i - 2*i + 10 = m. Calculate the lowest common multiple of 11 and i.
22
Let q be 56/(-42) + 19/3. What is the lowest common multiple of 21*(-1)/(q - 6) and 9?
63
Let n be 56/4 + (-7 - -3). Let j(i) = -i**3 + 11*i**2 - 8*i - 3. What is the least common multiple of 3 and j(n)?
51
Calculate the common denominator of (495/(-100))/(-11) - -2 and -26/25.
100
Suppose m + 11 - 12 = 0. Let r = m + 6. What is the lowest common multiple of 7 and r?
7
Calculate the common denominator of -13/25 and (2989/(-70))/(-7) - -3.
50
Let l = 2 - -1. Suppose x = -2*x, 5*x - 12 = -l*g. Let z(n) = 15*n + 27. What is the lowest common multiple of g and z(-1)?
12
Let v = 153 - 157. Let a(u) be the third derivative of -u**4/4 - u**3 + u**2. Calculate the smallest common multiple of 16 and a(v).
144
Let r = -4/7387 - 834635/177288. Calculate the common denominator of r and 3/92.
552
Suppose -69 = 34*b - 171. Let g(c) = c. Let x be g(2). Suppose -y + 11 = -r, x*y - b*r - 21 + 0 = 0. What is the least common multiple of y and 1?
12
Suppose 8 + 12 = 4*w. Suppose 0 = w*o - 35 - 25. Calculate the smallest common multiple of 6 and o.
12
Suppose k + 12 = 4*k. Suppose -k - 8 = -4*t. Find the common denominator of 3/((-36)/(-47))*t and 113/14.
28
Let j = 49489/10 + -4941. Find the common denominator of (-27)/21 + 1 + 1396/84 and j.
30
Let d(i) = 4*i**2 - 22*i - 4. Suppose 4*n = 4*q - 20, -4*q - 3*n - 13 = -40. What is the smallest common multiple of 4 and d(q)?
8
Suppose 5*g - 5 = 20. Suppose -730 = -86*b + 13*b. Calculate the smallest common multiple of b and g.
10
Calculate the common denominator of (483/(-210))/((-6)/(-15)) and 83/94.
188
Let g(l) = -l**3 + 6*l**2 - 4*l + 1. What is the lowest common multiple of g(5) and (-2 - -7) + 2*21/(-14)?
6
Let f(t) = -2*t**3 - t**2 + 3*t + 1. Let q be f(-2). What is the common denominator of (q/(-84))/((-3)/27) and 42/(-9)*(-3)/(12/(-19))?
12
Let s(f) = f**3 - 4*f**2 - 12*f + 35. Calculate the least common multiple of s(6) and 55.
385
Let m(o) be the first derivative of o**3/3 - 2*o**2 - 9*o - 5. What is the least common multiple of m(7) and -5*((-5)/(-25) - 1)?
12
Suppose g - 5 = 0, 9 = 4*a - 0*g - 3*g. Find the common denominator of 29/a*5/(-2) and (-5)/12*(-6678)/(-420).
24
Let a = 259969/105 + -24749/10. Calculate the common denominator of -187/120 and a.
840
Let w(x) = x**2 - 2*x - 3. Let t be w(-3). Let k = t - 7/8. Find the common denominator of k and -101/18.
72
Let o(j) = 3*j**2 - j. Let x be o(1). Suppose -3*q = 5*a - 93, -3*a + x*q - 23 + 75 = 0. What is the lowest common multiple of a and 1/1 + 71/1?
72
Let b = -34 + 77. Let a = -40 + b. What is the smallest common multiple of a and 11?
33
Let h = -11625/104 + 1328/13. Calculate the common denominator of h and -2 - (36/(-88) - 6).
88
Let o(z) = -10*z**2 + 2*z - 3. Let t = -4 - -6. Let f be o(t). Let w = f + 10. Find the common denominator of -143/6 and w.
6
Suppose 43 = 4*g + 3*a, g + 45 = 6*g - 5*a. Calculate the common denominator of (5/g)/(4/47) and 61/4.
8
Let j = 58 - 38. Let y be 123/(-287) - (31/(-7) + 1). What is the lowest common multiple of 2 and j/y*(-72)/(-20)?
24
Calculate the least common multiple of (67 - 5)*(-2)/(-4) and 6.
186
Let f be (166/6)/((-1)/(-9)). Find the common denominator of 77/8 and f/36 + 5/(-15).
24
Let g be 3/(-6) - ((-2727)/2 - 1). Calculate the common denominator of g/(-180) - (-2 - 40/(-18)) and -37/6.
30
Calculate the least common multiple of 36 and (-13)/26 - (2 + (-74)/4).
144
Suppose -2*x = 3*x + c - 30, -5*x + 50 = -3*c. Let i be (2*2)/(-2 + 4). Suppose -v + 33 = i*v. Calculate the smallest common multiple of v and x.
77
Let z = -3173/902 + 325/41. Find the common denominator of 13/6 and z.
66
Let r be (2/(-1))/(4/(-6)). Let y = r - -6. Calculate the lowest common multiple of 3/(18/(-32))*21/(-14) and y.
72
Let n(f) = -f**3 - 22*f**2 + 22*f - 11. Let s(g) = g - 35. Let i be s(12). Calculate the lowest common multiple of 21 and n(i).
84
Suppose 7*q - 78 = -15. Let v be (q - -11)*4/(-10). Let u(j) = -j**2 - 9*j + 1. What is the small