33
Calculate the common denominator of (3/(132/67))/((-13)/(-26)) and -13/4.
44
Let s(y) = -y**3 - 3*y**2 + 8*y + 7. Let b be s(-5). What is the common denominator of 2 - (2 - 114/20) and (0 - b)*2/(-6)?
30
Let r(q) = 5*q**2 + 2*q - 2. Let j = -16 - -22. Calculate the smallest common multiple of ((-20)/3)/((-2)/j) and r(-2).
140
Let x = -12685/12 + 1066. Calculate the common denominator of (-129)/2*(-1)/33 and x.
132
Let a(n) = n**2 - 8*n + 3*n**2 - 5 - 3*n**2. Let g = -6 - -12. Calculate the lowest common multiple of a(9) and g.
12
Let u = -4361350/89 + 2706863599/54468. Let p = -6232/9 + u. Let i = -8929/2244 + p. What is the common denominator of 23/10 and i?
110
Calculate the common denominator of (275/30)/((-8)/(-3)) and -19/4.
16
Suppose 0 = -4*g + c - 1800, 4*c - 235 = -5*g - 2464. Let h be -1 + 1 - g/2. Let x = h - 231. Calculate the common denominator of 71/9 and x.
18
Let v = -9 + 11. Suppose 3*f - 9 = -x, -5*x + 13 + 6 = v*f. Calculate the least common multiple of 8 and x.
24
Let m(u) = u**2 - 8*u - 3. What is the least common multiple of m(9) and 9?
18
Suppose -3 = -a + 1. What is the common denominator of ((-2)/a - 0) + -19 and ((-3)/15)/(7/((-14)/8))?
20
What is the common denominator of (-2)/10 - 444/(-45) and -99/10?
30
Let t = 64/69 - 6899/966. Find the common denominator of t and 85/2.
14
What is the common denominator of 137/18 and ((8/(-10))/1)/((-198)/4785)?
18
Suppose 2*s + b + 0*b - 32 = 0, 12 = 3*b. Let k = 10 - s. Let w = 14 - k. What is the lowest common multiple of 4 and w?
36
Find the common denominator of 1 - 2 - (-513)/(-72) and 29/9.
72
Suppose -3*a + 15 = 2*l, 0 - 16 = -3*l + 2*a. Suppose 264 = 11*j + j. Calculate the least common multiple of l and j.
66
Let v be 4105/(-20) + 2/8. Find the common denominator of 28/9 and v/12 + (-6)/9.
36
Let h = -6563/6 + 1091. What is the common denominator of -54/11 and h?
66
Suppose 0 = 5*r - 4*r - 1. Calculate the least common multiple of r and 7.
7
Let u(d) = d**3 + 3*d**2 - 8*d - 4. What is the least common multiple of 9 and u(-4)?
36
Let z = -2020 + 24365/12. Find the common denominator of z and 2/(-4) - (-237)/36.
12
Let d(o) = -o**3 + 5*o**2 + 5*o + 7. Let y be d(6). Calculate the common denominator of -2 + 107*y/10 and 2*4/(-40) - 361/70.
70
Suppose -69*g + 24 = -65*g. Calculate the lowest common multiple of g and 5.
30
Let r = 27 - -20. Find the common denominator of r and 6/8 - 117/(-132).
11
Let o(u) = u**3 - u**2 + 12. What is the least common multiple of o(0) and 6?
12
Suppose k + 5*h - 16 = 0, -5*k + 5*h + 8 + 12 = 0. Let j(z) = 0*z**2 + 6 - z**3 - 4*z - 5 + 6*z**2. Find the common denominator of j(k) and 10/7.
7
Calculate the common denominator of (-90)/(-112) + 15/(-35) and ((-57)/(-7))/(2/(-2)).
56
Calculate the common denominator of -25/4 and 41/(-3)*9/(-66).
44
Let o = 133 + -118. What is the least common multiple of o and 7?
105
Let f = -5641/40 + 141. Find the common denominator of -75/16 and f.
80
Let f(v) = -4 + v - 2*v - 2*v. Suppose -2*x + 1 + 7 = 0. What is the least common multiple of x and f(-6)?
28
Let h = -1 - -4. Let n(r) = r - 3. Let x be n(h). Suppose -f + x = -11. Calculate the lowest common multiple of f and 4.
44
Let u = 54203/12140 + -9/607. Let c = 4/31 + -173/620. What is the common denominator of u and c?
20
Let d = 2 + 0. Let p be ((-2)/6)/((-2)/6). Let j = p + 5. What is the smallest common multiple of j and d?
6
Let t = -227/4 - -625/12. Calculate the common denominator of (-24)/5 - -1 - (-3)/(-6) and t.
30
Calculate the lowest common multiple of (15/2)/(17/68) and 9.
90
Suppose -5*w = -14 - 1, i + w = 17. Let x be i/6*(-6)/2. What is the common denominator of 67/6 and 1/((-3)/(-69)*x)?
42
Let b(d) be the third derivative of -d**4/4 - 3*d**3/2 - 4*d**2. What is the least common multiple of b(-3) and 10?
90
Let o = 1016677/30 + -33886. Calculate the common denominator of o and -85/12.
60
Let n = 2 + 14. Suppose 5*c + 3*q = 2*q, 3*q + n = c. Find the common denominator of -3 + c + 31/(-9) and 41/5.
45
Let z be 15/(-35) + (-22)/14. Find the common denominator of 2/7 and (7/(-1))/(z/7).
14
Let m be (-4)/(-10) - (-43512)/(-109980). Let d = m + 133729/18330. What is the common denominator of -1/3 and d?
30
Suppose 4*o - 60 = -5*j + 40, 4*j - 2*o = 54. Suppose -8 - 68 = -3*a - 4*r, -4*a + 92 = 3*r. Calculate the least common multiple of a and j.
80
Suppose 16847 = 4*x - 7069. Let z = -107591/18 + x. Find the common denominator of z and -7/22.
198
Let k be 2 + ((-541)/42 - 2). Let d = k - -68/7. What is the common denominator of 65/6 and d?
6
Let i be 4/(-14) - 152/7. Find the common denominator of ((-10)/i)/((-3)/(-15)) and -77/6.
66
Let a = -667/693 + -20/77. Calculate the common denominator of 43/33 and a.
99
Find the common denominator of -121/6 and 3 + (-404)/96*2.
12
Suppose 3*z - 22 - 11 = 0. Let t = -183 - -192. What is the smallest common multiple of z and t?
99
Let a(v) = v**3 + v**2 - 2. Let x be a(0). Calculate the common denominator of (-609)/(-270) + x/10 and -67/12.
36
Calculate the common denominator of (-295)/(-2)*(-5)/75 and 13/4.
12
Let t = 10 - 5. Suppose -11*d = -7*d - 192. Suppose -t*v + 22 = -d. Calculate the least common multiple of 16 and v.
112
Let d(g) = g**3 + 8*g**2 + 4*g - 7. Calculate the lowest common multiple of 14 and d(-7).
14
Let i = 488/65 + -4171/1430. Find the common denominator of 0 - (-52)/(-48) - 0 and i.
132
Let x be 4356/(-81) + (-2)/9. Find the common denominator of (x/10 - -2) + 0 and -119/6.
30
Let f = -7280 + 422225/58. Calculate the common denominator of f and -25/12.
348
Let y = 255/2 - 130. Calculate the common denominator of -26/7 and y.
14
Let w be (1 - (-2 - -5))/(-1). Suppose o + 25 = 4*u + 2*o, -w*o = -2*u. What is the least common multiple of 10 and u?
10
What is the least common multiple of 3*(-1 - 15/(-9)) and (-2)/(-4)*20 - 0?
10
Suppose -2*c + 20 = z, -4*z + 55 - 5 = 2*c. Let b(p) = 7*p**2 + 3*p + 1. Calculate the least common multiple of b(-1) and z.
10
Let o be -2 - -3 - 4/(-2). Suppose 0 = 5*j - 4*b - 242, 2*j + 7*b - 80 = o*b. Calculate the common denominator of 57/2 and j.
2
Suppose i - 5 = -0*i. Suppose i*d = -5, f - 4*d - 16 = -2. Suppose 4*c - 5*p = -c - 5, 2*c = -3*p + 13. Calculate the least common multiple of f and c.
10
Let g = -3 + 5. Suppose -4*k + 9*k + 151 = -4*v, -g*k + 5*v = 34. Calculate the lowest common multiple of (-88)/(-9) - 6/k and 5.
10
Calculate the lowest common multiple of 5 - (4 - 19)/(-5) and 18.
18
Let i = 1/39509 - -3832353/790180. What is the common denominator of -56/25 and i?
100
Suppose -3*c + 261 = -2*g - 258, 0 = 5*c - g - 858. Let r be 2/8 - c/12. Calculate the common denominator of -83/18 and 1653/(-168) + 4/r.
72
Suppose 0 = -3*i - 5 + 11, 5*i - 25 = -5*y. Calculate the least common multiple of y and 8.
24
Suppose -2*f + 40 = f + 4*t, -3*f = -2*t - 16. Calculate the least common multiple of f and 6.
24
Let t = -1007 + 4129/4. Let y(u) = u**3 + 4*u**2 - 5*u + 1. Let k be y(-5). Find the common denominator of t and k*346/(-24) + 2.
12
Let t = 1294 + -5145/4. What is the common denominator of 0 + -1 - 160/45 and t?
36
Let h be (-1213115)/90882 - (-2)/11. Let q = -1/4131 + h. Calculate the common denominator of q and 97/22 + 0/(-2).
66
Let h(u) = -u**3 + 7*u**2 + 5*u + 10. Let v be h(8). What is the common denominator of 4/6 - 7/v and -13?
6
Suppose 0 = 4*o - 2*c - 18, -3*o = 3*c + 3 - 21. Suppose -o*g + 3*k = -68, 3*k - 54 = -3*g + 6. Calculate the smallest common multiple of 12 and g.
48
Let s = -34 + 56. Calculate the least common multiple of s and (-1)/(-5) - 156/(-20).
88
Let m = -47 + 57. Calculate the lowest common multiple of 102 and m.
510
Let p = 84 - -220. Let m = -555/2 + p. What is the common denominator of -21/22 and m?
22
Let u = 67489/12 - 5616. Calculate the common denominator of 47/22 and u.
132
Let j(g) = -g**2 - 7*g + 11. Let w be j(-9). Let f = -2 - w. What is the smallest common multiple of (-1)/3 - 56/(-6) and f?
45
Let r = 8 - -8. Let p be (-2)/7 - 74/(-14). Let c(m) = -m**2 + 10*m - 7. Calculate the lowest common multiple of r and c(p).
144
Let c = -29874 + 597357/20. Calculate the common denominator of c and -121/12.
60
Let k = -997/50 - 67/75. Find the common denominator of -115/6 and k.
6
Let t be -136*(1065/(-42