13. Let a = -6203 - -99169/16. Find the common denominator of r and a.
80
Calculate the common denominator of 116/10*(-185)/(-777) and ((-4)/(-120))/((5/47)/(-5)).
210
Let n = -73501/17883 - 2/1987. Let u be -2*2/(-16) - (-3339)/(-13260). Let w = u + -2740/221. Calculate the common denominator of w and n.
45
What is the common denominator of (6/8)/(((-1512)/(-834))/(-4)) and 113/126?
252
Let p(h) = h**3 + h**2 - h. Let q(g) = 7*g**3 + 19*g**2 + 10*g + 15. Let m(u) = -6*p(u) + q(u). Find the common denominator of -17/2 and m(-12).
2
Let o(h) = 13*h**2 + 31*h - 28. Let y be o(13). Let r = y - 56677/22. Find the common denominator of ((-202)/(-20))/(0 - -2) and r.
220
Let t = -466/21 + 8291/420. Let w be (-292170)/73043 - (-60)/15. Let f = -10445113/1314774 - w. Calculate the common denominator of t and f.
180
Let f(u) = 1079*u - 2. Let j be f(-2). Let r = j - -220367/102. Calculate the common denominator of r and 29/14.
714
Suppose -21*m + 25*m + 20 = 0. What is the lowest common multiple of 5/(m + 66/12) and 40?
40
Let a = -571 - -5671/10. What is the common denominator of a and 98/195?
390
Let r = 1043 - 32292/31. Find the common denominator of r and -19/9.
279
Let k(j) = -j**2 + 9*j + 9. Let y be k(9). Let o = y - 3. Calculate the lowest common multiple of 6 and o.
6
Find the common denominator of 125/24 and ((-33)/32)/((-15)/50).
48
Let u(q) = 2*q**2 + 15*q - 38. What is the least common multiple of u(-10) and 14?
84
What is the common denominator of ((-2)/16)/((-375)/13100) + -1 and -145/42?
210
Let t = -33398 + 101342/3. Let h = 775/2 - t. What is the common denominator of h and -119/10?
30
Let d be (55/9)/(16/29136). Let y = d - 10876. Let l = 6101/24 - y. What is the common denominator of 11/12 and l?
24
Let p be 12/(-30) - (-5514)/(-40). Let b = p - -152. Find the common denominator of -22/3 and b.
12
Let b(r) = 136*r**2 + r - 2. Let j be b(1). Suppose 5*z - 21 = -q + 28, 5*q + 3*z - j = 0. Calculate the lowest common multiple of 33 and q.
264
Let n be 4/1*9/36. Suppose -2*v + 42 = -4*r + 10, n = -r. Calculate the smallest common multiple of 6 and (-8)/v + 348/21.
48
Find the common denominator of -11/270 and (-516)/32*(-4)/27.
270
Suppose 0 = -7*q - 217 - 63. Calculate the common denominator of (-406)/q - (-5)/(-1) and -17/30.
60
Suppose 4*o - 3*v - 1172 = 0, 8*o - 868 = 5*o + 5*v. Calculate the least common multiple of o and 407.
3256
Let b = 2/3193 - -197960/9579. What is the common denominator of 133/156 and b?
156
Let u(d) = -d**3 + 14*d**2 + 17*d - 10. Let o be u(15). Suppose -q = -5*g - o, -3*q + g + 60 = -g. Calculate the least common multiple of 12 and q.
60
Let u(i) = 15*i - 1. Let f be u(1). Suppose 5*t + f = 2*n, t + 3*t = n - 1. Calculate the smallest common multiple of n and 6.
102
Suppose -4*o = -5*o - 185. Let t = o - 59. What is the common denominator of (8/(-64))/((-2)/t) and -3?
4
Let m(h) = -h**3 + 3*h - 126. Let z be m(0). What is the common denominator of 93/14 and 0 - (z/(-8) + 5)?
28
Let m(o) = -o**3 - 3*o**2 + 1. Let q be m(-2). Let r = -7 - -7. Find the common denominator of 57/5 and q + ((-7)/(-8) - r).
40
Suppose -9*z = -4*z - 10. What is the smallest common multiple of (11/(-22))/(z/(-20)) and 10?
10
Suppose -4 = 41*w - 42*w. Calculate the lowest common multiple of 22 and 483/46*w/3.
154
Let n(d) = -d**3 - 9*d**2 + 10*d - 8. Let r be n(-10). What is the least common multiple of r/(-36) - 2330/(-45) and 12?
156
Let u = 452646 - 4535991/10. Suppose 5*k + 10 = 0, 2799 = 4*p - 5*k - 1019. Let f = u + p. Calculate the common denominator of 19/14 and f.
70
Let g = 285/8 + -38. What is the common denominator of g and 1630/84 - (-26)/(3094/51)?
24
Let c(p) = 11*p - 1. Let s = 31/700 - 29/50. Calculate the common denominator of s and c(-3).
28
Let x(c) = -2*c + 7. Let l be x(-7). Suppose 0*a - 29 = -4*a - 5*u, 4*u - l = -3*a. Let i(m) = m**2 - m. Calculate the smallest common multiple of a and i(-1).
22
Let r(z) = -z**2 - 10*z + 6. Let m be r(-9). Calculate the common denominator of -1 - -7*m/(-9) and 6/(-2 + (-20)/(-11)).
3
Let z = 97 + -96. Suppose -7 = 4*c + 5*m, m = -c - 0 - z. What is the smallest common multiple of 3 and c?
6
Suppose -z + 5*m = -6, 18*m - 21*m - 74 = -5*z. Let c be (15/(-2))/(1/2). What is the least common multiple of z and (-8)/(-5) + (-6)/c?
16
Let v = 9102 - 191090/21. Find the common denominator of v and 0 + -1 - (-147)/(-81).
189
Let j be 4*(8961/(-36) - 4/(-6)). Let k = 14936/15 + j. Find the common denominator of 4/9 and k.
45
Let m = -5244 - -230749/44. What is the common denominator of -111/40 and m?
440
Let q(r) = r**3 - 27*r**2 - 28*r + 12. Calculate the smallest common multiple of q(28) and 18.
36
Let j(l) = l**3 + 5*l**2 - 8*l. Let n be j(-6). Suppose 13*t = n*t + 11. Calculate the smallest common multiple of t and 3.
33
Calculate the lowest common multiple of 264 and 6/((-536)/(-88) - 6).
264
Let b be 1 + (-4 - -2)/(-2). Suppose 7*s - b*s = 30. Let f = -133 + 137. Calculate the lowest common multiple of f and s.
12
Calculate the least common multiple of 77 and 20 - 9 - 9/1.
154
Let d = 159 - 171. Calculate the common denominator of (-250)/84 + 4/d and -57/16.
336
What is the common denominator of -79/36 and ((-3212)/438)/(48/22)?
36
Let y(z) = 6 + 2*z**2 - 4 - z**2 - 4*z. Let t = -10 - -14. What is the lowest common multiple of 5 and y(t)?
10
Let t be 8/10*(-5 + 13830/(-12)). Find the common denominator of 81/16 and (-2)/5 + t/(-140) - 3.
112
Let s = 7 - 8. Calculate the common denominator of (-2)/(-3) - (188/(-60) + s) and 139/6.
30
Suppose 5*m + 0*m - 186 = k, 4*m - 140 = 3*k. Calculate the lowest common multiple of 10 and m.
190
Let x be 1406874/(-220) - (-6)/33. Let t = -6388 - x. What is the common denominator of (-469)/(-84) - 6/4 and t?
60
Let r(x) = -12*x**2 - 2*x + 7. Let t be r(-4). Find the common denominator of 2/(-12)*t/(-9) and 62/15.
90
Suppose -5*u = 5*n - 3*n - 40, 3*n - 34 = -u. Calculate the least common multiple of 72 and n.
360
Suppose -7 = 2*k - k. What is the common denominator of 8*k/14 - 38/8 and (-133)/12 - (-4)/16?
12
Let w be ((-2)/3)/((-6)/(-9)). Calculate the lowest common multiple of 3 and (-82)/(-4) + -2 - w/2.
57
Let c = 237 + -2102/9. Find the common denominator of c and -10/93.
279
Let f(m) = -m**3 + 6*m**2 - 3*m - 2. What is the lowest common multiple of f(5) and 59?
472
Let l(w) = 2*w + 38. Let a be l(-18). Suppose -38 = -4*h - a*g, 3*h - g = 8*h - 52. What is the smallest common multiple of h and 9?
99
Let l = 13 - 15. Let a be (-8)/12*15/l. What is the common denominator of -5/4 and ((-151)/a)/(24/20)?
12
Let g be (390246/(-12))/((-12)/(-34)). Let p = -95596 - g. Let a = -3458 - p. What is the common denominator of 57/8 and a?
24
Suppose 2*q - f = 4*q + 1742, 2*q + 1746 = -3*f. Let l = q - -8791/10. Let t = -3166/9 + 349. Calculate the common denominator of l and t.
90
Let d = -386 - -390. What is the lowest common multiple of d and 71?
284
Suppose 21 = 3*u + 3*r, 14*r + 4 = 4*u + 10*r. What is the smallest common multiple of 120 and u?
120
Let d = -124 + 67. Let t = d - -65. Let l(g) = 3*g - 6. Calculate the lowest common multiple of l(5) and t.
72
Let r = -1/764 - 4389/3056. Find the common denominator of r and (-86)/(-8) + 28/(-7).
16
Let g be (1760/(-4150))/((-9)/65). Let t = 170/83 + g. Calculate the common denominator of -51/8 and t.
72
Let g(o) = 10*o**2 + 6*o + 2. Let k be g(4). Find the common denominator of 11/10 and ((-4)/(-32))/((-1)/k).
20
Let v be (-77 + 3*3/9)*-1. Let o = 94 - v. What is the least common multiple of o and 9?
18
Let r = 183 - 91. Let n be (r/20 + -4)*-15. Find the common denominator of (27/18)/(n/(-7)) and -12.
6
Let r = -2503/63 - -382/9. What is the common denominator of r and (-26505)/(-7161) - 6/14?
77
Let z be 83/(0 + 406/(-4)). Let j = z + 365846/446397. Let l = j - -134099/21990. Calculate the common denominator of -79/8 and l.
40
Suppose 47 = g + 5*a, -4*g + 0*a + 113 = 5*a. What is the least common multiple of 144 and g?
1584
Let j be (-7)/49 + (-5)/(1190/92). Let p = j + 243/170. What is the common denominator of 77/20 and p?
20
Suppose f = 3*a - 36, -a - 4*f = 2*a - 51. Suppose 2*w - 7 - a = 0. Calculate the smallest common multiple of w and 1 + 9/((-36)/(-40)).
110
Find the common denominator of