6
Let b = -2/1385 - 3597/2770. Let m = -1843 - -12944/7. Find the common denominator of m and b.
70
Let f be ((-63)/(-33))/((-13)/191). Let y = -302/13 - f. What is the common denominator of ((-1)/(-5))/(3/129) and y?
55
Let o = 88003/12 + -7339. Find the common denominator of o and 61/12.
12
Let i be (-9)/(-15) + 1182/30. Suppose -2*v + 6*v = i. Calculate the lowest common multiple of v and 12.
60
Let g = -16 - -22. Calculate the common denominator of -47/8 and (3/54)/(g/(-153)).
24
Let p(n) = n**2 + 8*n - 12. Suppose 6*z - 40 = 2*z. What is the lowest common multiple of p(-10) and z?
40
Calculate the common denominator of 2 - 1 - (-54)/(-20) and 5/(24/15 + -2).
10
Let a = -32 + 36. What is the smallest common multiple of 7 and a?
28
Suppose 0*b = 5*b + 40. What is the lowest common multiple of 12 and 2/b - 41/(-4)?
60
Suppose -2*c + 3 = -3. Suppose -2*d - 2*d + c*g + 24 = 0, -5*g = -5*d + 25. What is the smallest common multiple of d and 1?
9
Find the common denominator of -1 - -1 - (-108)/40 and 903/(-210) - 6/(-2).
10
Let g = 16 + -6. Let n be (-2)/8 - 2/(-8). Let x = 16 + n. Calculate the least common multiple of g and x.
80
Let r(o) = -1 - 9*o + 3*o**2 - o**3 + 4*o**2 + 2*o**3. Calculate the smallest common multiple of 10 and r(-8).
70
Let b(i) = i**2 - 13*i + 15. Let z be b(12). What is the least common multiple of 20 and 40/((-12)/z)*-1?
20
Suppose -5*t + 3*l + 53 = 0, -4*t - l = -3*t - 17. What is the least common multiple of 10 and t?
130
Suppose 9*k = 7*k + 24. What is the least common multiple of k and 9?
36
Let a(q) = -5*q. Let d be a(-2). What is the common denominator of 50/9 and ((-4)/50)/((-2)/d)?
45
Let q(f) = f**2 - 3*f - 5. Let u be q(5). Suppose -u*b + b = -5204. Let k = -7775/6 + b. Calculate the common denominator of 17/4 and k.
12
Suppose -y = 14 + 6. What is the smallest common multiple of 9 and 6/(y/8 + 4)?
36
Calculate the smallest common multiple of (-8)/(-40) - (-49)/5 and 5.
10
Let i = -4/109 - 1159/1090. Let x be 3/((-27)/(-5))*14962. Let y = 8304 - x. Find the common denominator of i and y.
90
Suppose 0 = -z - 4*q + 18, 0*z = -2*z - 5*q + 36. Suppose 2*c = -6, 2*t - t = 5*c + 19. Calculate the least common multiple of z and t.
36
Let g be (-751)/36 + 6/(-27). Let i = g - -53/4. What is the common denominator of i and (-6)/15 - (-202)/180?
18
Let y = -304/55 + 283/110. Let f(a) = a**2 + 5*a. Let t be f(-6). Calculate the common denominator of t/4*(-49)/12 and y.
88
Find the common denominator of 33/8 and ((-12)/(-20))/(14/185).
56
Let x = -25/242 + -4/121. Calculate the common denominator of -5 and x.
22
Let r = -1458 - -2973/2. Calculate the common denominator of 5/2 and r.
2
Let l = -854 - -6849/8. Let k = 1886/3 - 2525/4. Calculate the common denominator of k and l.
24
Let f = 8 - 8. Suppose f = -3*s + 6*s - 6. Suppose -5*h - 2 = -4*o, 0 = -2*h - 2*h - s*o + 14. Calculate the smallest common multiple of h and 8.
8
Let i be 4/2 - (-6274)/(-715). Let z = 204/65 + i. Calculate the common denominator of 1/4 + 1/56*426 and z.
77
Suppose 0*w + 3 = w. Suppose 0 = f - 7 - 4. What is the lowest common multiple of w and f?
33
Suppose -4*s - 11 = 29. Calculate the common denominator of (2/(-4)*71)/(-3) and ((-13)/(-6))/(s/(-18)).
30
Let h = -833731/24 + 34745. Calculate the common denominator of -64/3 and h.
24
Let z be 91/(-7) + (-1 - -2). Find the common denominator of -45/14 and 282/(-4)*2/z.
28
Suppose -3*g + 8*g - 10 = -2*p, 2*g = -p + 3. Let k(q) = -q**3 - 4*q**2 + q - 4. What is the least common multiple of k(p) and (-516)/(-54) + (-8)/(-18)?
80
Suppose -2*r = -2*i + 16, -i - 2*r - 2 = 2*r. Let l(f) = f + 19. What is the least common multiple of i and l(-9)?
30
Let v = 2012522/541 - 3720. Let h = v + -23299/9738. Let t = -4175/384 - -37/128. What is the common denominator of h and t?
36
Let z = -1/18584 - -687629/390264. What is the common denominator of z and 11/18?
126
Let k = 2593/3 + -887. Let h = -10 + 15. Find the common denominator of (-153)/60*h/2 and k.
24
Let l be -72*((-1)/3 - -1). Let o = -28 - l. What is the common denominator of 226/o + (-3)/3 and 47/20?
20
Suppose 0 = 2*j - 0*j - 18. Calculate the smallest common multiple of j and 7.
63
Suppose 91 + 21 = 7*b. Calculate the least common multiple of 44 and b.
176
Let o be (5 - 2)/(12/8). Suppose -o*n - 10 = -3*n. Calculate the lowest common multiple of 3 and 0/(2/2) + n.
30
Let i(n) = n**3 - 2*n**2 + 2*n - 2. Let b be i(2). Let m be 2/(-4)*0/b. Suppose 2*w + m = 2. What is the lowest common multiple of w and 1?
1
Suppose -4*s + 3*c + 18 = 0, 4*c = 3*s + 4 - 21. Suppose 24 = -2*b + 5*l, 0 = s*b + l + 56 - 3. Let u = b + 37. What is the least common multiple of 22 and u?
220
Suppose -2*a = 4*c - 62, 5*c - 4*a = 42 + 42. What is the lowest common multiple of c and 20?
80
Let j = -882 + 17653/20. Find the common denominator of j and -85/64.
320
Calculate the least common multiple of 22 and (80/5)/(0 + 1).
176
Suppose -4*g = -6*g + 28. Calculate the smallest common multiple of 6 and g.
42
Let n(y) = -2*y**3 + 23*y**2 + 14*y - 10. Calculate the lowest common multiple of 16 and n(12).
112
Suppose -2*r - 52 = -3*g, 4 + 0 = r. Let y = -16 - -38. What is the least common multiple of g and y?
220
Let g = 22220/699 - 697931/28892. Let q = g + 14/31. What is the common denominator of 91/24 and q?
24
Let p = -77557/10 - -7762. Find the common denominator of p and 1 + -1 + -1 + 51.
10
What is the common denominator of -2 - 605/30 - 3 and 47/6?
6
Let v(j) = 3*j**2 + 4*j + 2. Suppose -5*u + 62 = 4*b, -4*b - 27 = -5*u + 11. What is the smallest common multiple of u and v(-2)?
30
Let b(o) = -o**3 - 7*o**2 - o - 4. Let p be b(-7). Suppose 3*i - 45 = -p*k, -k - 3*i = -4*i - 21. Calculate the smallest common multiple of k and 2.
18
Let y(q) = 3*q**3 - 6*q**2 + 5*q - 1. Calculate the lowest common multiple of 9 and y(2).
9
Let y be ((-3)/4)/(3/12). Let r be (4/4)/(1/y). Calculate the common denominator of (-490)/(-12) - 2/r and 95/4.
4
What is the common denominator of -7/13 and (-1 + 312/(-30))/(2/2)?
65
Let s(j) = -j**2 + 6*j - 5. Let o be s(4). Suppose 2*m = 10, o*k - 45 = -5*m + 46. Calculate the smallest common multiple of k and 16.
176
Let o(l) = 2*l + 1. Let h(u) = u - 1. Let r(f) = -3*h(f) + o(f). Let p be r(3). Let w = p - 0. Calculate the lowest common multiple of w and 3.
3
Let r(m) be the third derivative of -m**4/2 - m**3/6 + m**2. Let g be (9/(-6))/((-12)/(-8)). What is the least common multiple of 6 and r(g)?
66
Let p = 8 - 2. Suppose -y = v - 6, 0 = v - 2*y - p. Calculate the least common multiple of 22 and v.
66
Let z(c) = -c**3 + 5*c**2 + 8*c - 4. Let b be z(6). Let i = -2/93 - -343/93. Calculate the common denominator of 2/(-4) + 97/b and i.
24
Suppose 5*c = 4*d + 4 - 19, -5*c + 35 = d. What is the least common multiple of 10 and d?
10
Let l be 7/(28/24) - -3. What is the smallest common multiple of 23 and 6*(-2)/((-12)/l)?
207
Suppose 5*d = -u - 9, -d = -5*d + u. Let x be ((-10)/8)/(d/(-12)). What is the least common multiple of 10 and 10*(36/x)/(-3)?
40
Let g = -9 - -10. Suppose g = d + h, -4*d + 2*d + h = -2. Calculate the lowest common multiple of 5 and d.
5
Suppose 3*z - 8 = z. Suppose 4*b - 4 = -j - 3*j, -b - 24 = -z*j. Let t = b - -8. What is the smallest common multiple of t and 16?
16
Suppose 0 = 4*f + 8, -3*h - 2*f = h. What is the common denominator of (20/192)/(h/3) and -115/6?
48
Let b = 35 - 30. What is the least common multiple of 7 and b?
35
Let x = 91 + -71. Calculate the least common multiple of 44 and x.
220
Let b = 18 + -17. Suppose 4*d + 4 = -4*x, -5*x - 2*d + 11 = -d. Calculate the smallest common multiple of x and b.
3
Let w(h) = h**3 - 5*h**2 + 8. Let k be w(4). Let i(f) = -7*f**2 - 5*f - f**3 + 7*f + 8 + 6*f. What is the lowest common multiple of 2 and i(k)?
8
Let r = 15 - 11. Suppose r*y = -37 - 115. Calculate the common denominator of y and ((-142)/40)/((-2)/4).
10
Suppose y + i = 2*y + 380, y = 4*i - 392. Let n = 2995/8 + y. Find the common denominator of -16/3 and n.
24
Suppose -3*d - 5*k = 16, -4*k + 3*k - 11 = -2*d. Let r be (-36)/272*(-14)/d. Let u = 2131/340 - r. Find the common denominator of u and 57/20.
20
Calculate the lowest common multiple of (-20)/130 - 160/(-26) and 2.
6
Let l(a) = -7*a - 4. Let g be l(-4). Su