on multiple of g and 116.
1276
Let u = 4427074769681/123068145 + -317/1685865. Let p = 35972 - u. Find the common denominator of -74/3 and p.
219
Let b = -81 - -156. Find the common denominator of 79/45 and ((-2)/b*-7)/(16/(-132)).
450
Let z be -2 + 20/9 + 96017/124920. Let s = z - -168/347. Calculate the common denominator of s and 99/80.
80
Calculate the common denominator of ((-68)/(-352))/(1 + 100/(-112)) and -11/87.
1914
Let o be 18/2 - 3*(-12)/(-9). Find the common denominator of ((-96)/(-168))/(o/(-2)) and 19/80.
560
Let g = 1905 - -2065. Let u = g + -31801/8. What is the common denominator of (-9)/5*(-4)/(-1) and u?
40
Let t(z) = z**3 - z**2 - z + 858. Let h be t(0). Let q = 369/34 - 14809/1258. What is the common denominator of 4/20 + h/135 and q?
333
Suppose -3*p = z - 13, -8*p + 3*p + 7 = -2*z. Suppose 2 - 10 = -c + z*y, 0 = y - 3. What is the lowest common multiple of 12/(-15) + (-666)/(-45) and c?
140
Calculate the common denominator of -71/81 and ((-118)/(-210))/((-36)/(-10)).
1134
Let t be 4667/18590 - 6/20. Let a = 2/11 - t. What is the common denominator of a and 43/6?
78
Let k = -347/90 - -23/10. Let o = 5284541/24360 + -3254/15. Let n = o - 82015/1624. Find the common denominator of n and k.
18
Suppose 0 = -3*l + 3, 5*j - 194 = 4*l + 22. Suppose 74*w + 512 = 168*w - 78*w. Calculate the lowest common multiple of j and w.
352
Let b = 87743/5 - 73440776/4185. Calculate the common denominator of -82/21 and b.
5859
Let k(w) = -w**3 + 33*w**2 - 89*w - 21. What is the lowest common multiple of k(30) and 490?
4410
Suppose 19*t = 200*t - 209055. What is the smallest common multiple of t and 28?
4620
Let k = 283119390105 - 74177415842975/262. Let s = 517692 + k. Let j = s + 9138/7729. What is the common denominator of -17/20 and j?
1180
Suppose -154*v = -72*v - 68*v - 52052. Calculate the smallest common multiple of 130 and v.
18590
Let a = -3301/2 - -1604. Find the common denominator of (-18 - -35)/(-4 - -13 - 1) and a.
8
Calculate the smallest common multiple of 4 and -4 - -6 - ((-12)/9 - (-410)/(-3)).
140
Let v = 174 - 344. Let o be (-2)/(-12) + v/(-60). Suppose 4*q + 2*c = o*c + 130, 0 = 3*q - 3*c - 102. Calculate the least common multiple of q and 8.
32
Suppose -b + 4*d + 71 = 0, 0 = -4*b - 2*d + 5*d + 258. Let a = b - -87. What is the lowest common multiple of a and 135?
1350
Suppose 492665 = p - 4*p - 4*w, -2*p = -5*w + 328451. Let j = 78826909/480 + p. Find the common denominator of 85/22 and j.
5280
Let d = -14/33 - 1807/330. Let z = d - -289/60. Calculate the common denominator of z and 97/44.
132
Let q(u) = 4*u**3 - 19*u**2 + 98*u + 5. Let t be 3*(3 + -4) + (-40)/(-5). Calculate the smallest common multiple of 1 and q(t).
520
Find the common denominator of (-6)/20*(-230)/(-102) and -41/8.
136
Let t = -9179/828 - 172/207. Find the common denominator of t and (-287)/1758*375/875.
3516
Let t = -23 + 45. Let m = t + -22. What is the least common multiple of 3 and 5 + 2/(3 - 1 - m)?
6
Let o = 171 + -169. Suppose 5*a - 3*i - 84 - 63 = 0, i - 61 = -o*a. Suppose -2*l + 9 = -l. Calculate the smallest common multiple of l and a.
90
Let b = 313407/22 - 14249. Let z(m) = 1172*m + 38. Let d be z(10). Let g = -211589/18 + d. What is the common denominator of g and b?
198
Let k = -5102047/68586 - -5125/69. What is the common denominator of 115/98 and k?
6958
Let t = 386 + -375. Suppose t*l - 366 = 8*l. What is the least common multiple of l and 22?
1342
Suppose 248 + 2410 = 13*o - 5207. What is the lowest common multiple of o and 110?
1210
Suppose 5*m = -10, 0 = -0*u + u - 5*m - 19. Let q = 1054 - 820. Suppose 8*f + q = 34*f. What is the smallest common multiple of u and f?
9
Suppose -15*y = -10*y + 500. Suppose -2*k + k = 12. What is the common denominator of 1005/y - k/3 and 1/22?
220
Let v be (-18)/(-24)*60/9. Suppose -2*q = 2*o + o + 71, -5*q - v*o - 175 = 0. Let r = q + 40. What is the least common multiple of r and 2?
6
Let w = 2141443597/3564 - 600854. Calculate the common denominator of -179/1620 and w.
17820
Suppose -4*c = -3*q - 284, -5*c + 2*q - 355 = -10*c. Suppose c = 5*g - 159. What is the least common multiple of g and 10?
230
Find the common denominator of (-11 - 30513/(-2765))*(-40)/18 and -37/711.
711
Let p(b) = b**2 + 218. Suppose 28 = 2*t - 42*g + 45*g, 5*t + 3*g - 52 = 0. What is the lowest common multiple of p(0) and t?
872
Suppose -2*w + 3*w = -11. Suppose -119*c - 19 - 251 = -89*c. Let a = c - w. What is the least common multiple of 12 and a?
12
Let s = -16 + 19. Suppose 0 = s*u - 4 - 2. Suppose -2*m - 3*o + 24 = -2*o, 0 = -u*m + 5*o + 48. What is the smallest common multiple of m and 42?
42
What is the common denominator of -51/1120 and (-60401)/10115 + (0 - 0 - -8)?
1120
Let s = 6797 - 6729. Calculate the lowest common multiple of s and 24.
408
Let j = 185821 - 57047150/307. Let a = -13991/81048 - j. Find the common denominator of -73/2 and a.
264
Let m(l) = -l**3 + 24*l**2 - 24*l - 29. Let v be m(23). Let z(i) = -2*i**2 - 103*i + 68. What is the lowest common multiple of z(v) and 36?
144
Let w = -12125 - -12693. What is the smallest common multiple of 1136 and w?
1136
Suppose -15*s + 14*s = 102. Let n = s + 178. Suppose -2*y = -2*u - n, -3*u + 46 = 2*y + u. What is the lowest common multiple of y and 15?
165
Let h(m) = 6*m**2 + 18*m + 20. Let c be h(-5). Suppose -5*b - 5*y + c = 0, -4*b + 5*b - 3*y = 32. What is the smallest common multiple of b and 76?
380
Suppose -1548 = -178*f + 169*f. Suppose -f*v + 178*v = 30. What is the lowest common multiple of v and 45?
45
Let f(q) = -6*q**2 - 180*q + 15*q**2 - 6*q**2 + 33 + q**2. Calculate the lowest common multiple of 24 and f(45).
264
Let q(y) = y - 52. Let j be q(37). Let f = -3 - j. What is the lowest common multiple of 15 and f?
60
Calculate the common denominator of ((-2)/290)/(8/310) and (455/26 - 15)/(352/448).
1276
Suppose 13 = -3*s + 7. Let w be s/(-1) + (-305982)/37989. Let r = w + -1/938. Find the common denominator of r and -13/11.
198
Let y = 48293/27 - 1788. Calculate the common denominator of y and -121/426.
3834
Suppose 4*n + 0*y + 188 = 4*y, -n = -3*y + 51. What is the common denominator of (30/(-36))/(1/n) and -117/20?
20
Let x be 1*2/((-2)/15). Let u(m) = -37*m**2 - 372*m + 16. Let r be u(-10). Calculate the least common multiple of (r/x)/(2/(-5)) + 4 and 38.
190
Suppose 4*y + 244 = f, 0*f - 1100 = -5*f - 4*y. Find the common denominator of (3/(9/21)*13)/(-4) and -2 - 7/(f/300).
8
Suppose 0 = w, w = -4*p + 4*w + 32. Find the common denominator of 9/3 + (-23)/p and (37/(-6))/(((-14)/3)/(-2)).
56
Calculate the least common multiple of (-2)/6 + ((-1634)/(-6) - (35 - 43)) and 1288.
6440
Let x(z) = -7*z**3 - z**2 - z - 1. Suppose 532*u = 1111*u - 559*u - 2860. What is the least common multiple of u and x(-1)?
858
Let u = 214533793/1970 + -675218/197. Let q = u + -105302. Let w = -1037/5 + q. Calculate the common denominator of w and 59/8.
8
Let z(q) = -q - 1. Let p(l) = -4*l - 6. Let n(j) = -p(j) + 5*z(j). Suppose 0 = -f - 5 + 9 + 3. Calculate the lowest common multiple of n(-1) and f.
14
Let s = 988 + -1961/2. Let x be (-3 - 1) + 6 + -3589. Let u = -21469/6 - x. Calculate the common denominator of u and s.
6
Let z(v) = 2*v**3 - 14*v**2 + 5*v + 20. Let l be z(11). Find the common denominator of -71/18 and 4/(1960/l) - (1 + 2).
630
Suppose -5*y = j - 455, -7*y + 8*y - j = 85. Suppose -5*c + y = 4*a, -c + 3*a - 5*a = -18. What is the smallest common multiple of c and 5*(108/10)/3?
18
Let m = 51 - 91. Calculate the smallest common multiple of 44 and (24/60)/((-2)/m).
88
Suppose -3*y - 2 - 10 = 0. What is the common denominator of (4/24)/(66/120) and 15/72 + y/(-3)?
264
Suppose -7*j + 165 = 60. What is the least common multiple of j and 450?
450
Let h be (-6)/27 + 130/18. Suppose 8*f + h = 39. Suppose x = -f + 14. Calculate the lowest common multiple of 1 and x.
10
Let u = 4 + 227. Let b = u + -14753/64. Find the common denominator of 133/6 and b.
192
Let h(m) = -m + 4. Let x(y) = y - 5. Let o(l) = 5*h(l) + 6*x(l). Let q be o(5). What is the lowest common multiple of (12/q)/(4/(-10)) and 20?
60
Find the common denominator of (-1570)/20*(-3)/99 and 24/319.
1914
Find the common denominator of ((-859)/700 + (-65)/(-52))*13 and -16/175.
175
Let u(j) = j**3 