5949/24 + -9834. Let x = 1/24459331 - -21132739687321/587023944. Let u = x - 35994. Calculate the common denominator of u and j.
24
Let x(y) = y**3 + 9*y**2 + 7*y + 16. Suppose 10*q - 61 = -21. Suppose -o = 12 - q. What is the smallest common multiple of 8 and x(o)?
24
Suppose 230 = 2*s + 5*v, 5*s - 5*v = -1196 + 1736. Calculate the lowest common multiple of 8030 and s.
8030
Let m = -492839 + 1214355315/2464. What is the common denominator of -3/140 and m?
12320
Suppose -5*a - 3*w + 81 = 0, -5*a + 24 + 53 = w. Suppose -25 = -3*y - u + a, 4 = -2*u. Calculate the smallest common multiple of 92 and y.
644
Suppose -d + 0 = 2, 0 = 5*j + 5*d - 610. What is the smallest common multiple of 62 and j?
124
Find the common denominator of 13/725 and ((-78)/28)/(21750/175).
2900
Let t(p) = -48*p + 93. Let w be t(32). Let l = -8677/6 - w. Find the common denominator of 56/9 and l.
18
Let g = -39678 - -39723. Let k(j) = -4*j - 3. Calculate the lowest common multiple of k(-3) and g.
45
Let g be ((-13)/(-3))/(1*(-12)/180). Find the common denominator of -89/42 and (4 - 1)/75*g/2.
210
Suppose 3*o + 6*v - 11*v = 12, -2*v = 4*o - 16. Calculate the smallest common multiple of 650 and 0 + o/(-6) - (-112)/6.
5850
Suppose 2*q + 1040 = 15*q. Let i = -60 + q. What is the lowest common multiple of i and (-1)/((-2)/(-16)*-2)?
20
Suppose -35*a = -32*a + 3*q - 243, -5*a = q - 417. Let c = a + 4. Calculate the smallest common multiple of c and 33.
264
Let q = -307217 + 493390461/1606. What is the common denominator of 91/8 and q?
6424
Let p = 33 + -48. Find the common denominator of -1/25 and ((-4 - 1)/(-45))/(p/(-204)).
225
Let v = 7537 + -7433. What is the lowest common multiple of v and 12?
312
Find the common denominator of (405/27900)/(318/290) and 61/4.
6572
Suppose 5*k - 141 - 49 = 0. Suppose 0 = -2*v + k + 146. Calculate the smallest common multiple of v and 60.
1380
Let z = -224 + -131. Let r = z + 367. Calculate the smallest common multiple of 54 and r.
108
What is the smallest common multiple of (14/5)/((-364)/(-2600)) and 27?
540
Let i = -326 - -356. Let d = i - 19. What is the lowest common multiple of 1 and d?
11
Let l = -2074 - -2083. Calculate the lowest common multiple of 571 and l.
5139
Let l = -22038 + 31003. Let r = l + -89531/10. Find the common denominator of 26/2*(-912)/(-1520) and r.
10
Let b = -7410 - -74159/10. What is the common denominator of b and (-7995)/(-676)*(-19)/(6175/26)?
130
Let r(g) = g**3 + 21*g**2 + 20*g + 8. Let t be r(-20). Suppose -96 = -t*y + 48. Calculate the lowest common multiple of 10 and y.
90
Let n be -10 + 4*2/8. Let v = 1 - n. Suppose -111*f + 127*f = 16. What is the smallest common multiple of v and f?
10
Suppose -3*g + 2*y + 15 = 0, 0 = 4*g - y - 0*y - 20. Suppose 17 = g*a - 2*h - 71, -60 = -3*a + 3*h. Calculate the least common multiple of a and 0*(2 - 1) - -2.
16
Let g be ((-19628990)/96)/5 + -6. Let a = 40902 + g. Find the common denominator of 109/66 and a.
528
Let v = 86255/24 - 3600. Calculate the common denominator of 86*(-4 - (-153)/36)*16/(-112) and v.
168
Suppose -2*i + 6*i = j - 36, 0 = 3*i + 4*j + 27. Calculate the common denominator of (64/(-6) + -2)/((-680)/(-153)) and 286/(-252) + 2/i.
140
What is the lowest common multiple of 30 and (-2835)/(-15) - 0 - -11?
600
Suppose 16*f = 7*f + 432. Find the common denominator of (-2)/f*(-636)/(-336) and -95/16.
672
Let a be -114 - (-1)/(4/(-8)). Calculate the common denominator of (-24)/8 + (-330)/a and (4 + (-90)/25)*(-365)/44.
638
Suppose -5*f = -40 - 35. Let r(a) = a**2 - 24*a - 7. Let o be r(f). Find the common denominator of (1 + -2)*o/20 and 31/10.
10
Let x be 3/(-9)*(-7 - -1)*70. Let i = 149 - x. What is the smallest common multiple of i and 30?
90
Suppose 15*a - 12*a + 7275 = 0. What is the common denominator of -1 + -151*(-3)/54 and 3/(-120)*a/20*2?
144
Let b(y) = 8*y - 4. What is the least common multiple of b(5) and (-700)/(-75)*(-3)/(-4)*10/35?
36
Calculate the common denominator of (-1209)/(-155) - 9 - 1198/(-1740) and 40/87.
174
Let v be (-67410)/(-20) + 0 + 2. Let p = v + -2697. Let q = p + -723. Find the common denominator of 89/30 and q.
30
Suppose p = 8 + 12. Calculate the common denominator of (-4)/18 + 2154/216 and 2*p/(-48) + -1.
12
Let u(i) = i**3 + 10*i**2 + 7. Let q(y) = -4*y**3 - 31*y**2 - 19. Let r(o) = 2*q(o) + 7*u(o). What is the smallest common multiple of 61 and r(8)?
671
Let a(b) = 28*b**3 + b**2 + 40*b - 189. What is the lowest common multiple of 14 and a(5)?
24752
Suppose 0 = -49*y + 44*y + 10. Suppose -3*g + 0*g + 2*b = -50, -y*b = g - 30. What is the common denominator of (-311)/g - 52/(-65) and 149/6?
12
Let y(w) = -w - 1. Let m be y(-11). Let x = m + -7. What is the lowest common multiple of 9 and (8/2)/4*4*x?
36
Suppose -314*n = -362757 - 205583. What is the lowest common multiple of n and 90?
16290
What is the common denominator of ((-2768)/12330)/4*654/872 and 139/60?
8220
Suppose -5*q + 26 + 34 = 0. Let y(t) be the third derivative of 5*t**4/12 - 23*t**3/3 - 29*t**2. What is the least common multiple of y(7) and q?
24
Let j = -17 - -19. Let p(k) = 2*k**2 + 20*k - 96. Calculate the lowest common multiple of j and p(8).
192
Calculate the common denominator of (1/829)/(6/(-135)) and 131/6.
4974
Suppose -180 = -4*w - w. Suppose 3*y = -2*r + 7, 15 = 5*r - 96*y + 101*y. Calculate the smallest common multiple of r and w.
36
Let o(u) = -u**3 - 3*u**2 - u - 1. Let y be o(-2). Find the common denominator of ((-2338)/(-441) - 4)*y and -109/56.
168
Let v be (7 + (-16)/2)*-3. Suppose -v*t - 9 + 99 = 0. Calculate the lowest common multiple of t and 180.
180
Suppose 8*x - 13*x + p + 1017 = 0, -5*p = 5*x - 975. What is the least common multiple of 226 and x?
22826
Find the common denominator of ((9/3)/2394)/(32/(-3424)) and 13/24.
3192
Suppose -3*c + 8 = c. Calculate the common denominator of c/(-2)*1633/207 and 91/24.
72
Let j = -1254 - -969. Calculate the least common multiple of (0 + -4)*(3 - 4) and 158/12 + j/(-342).
28
Let j = -106/32615 - -16063279/3131040. Let m = j - -13/160. Calculate the common denominator of 25/12 and m.
24
Suppose -2*p + 1330 = 8*q - 6*q, 0 = p - 3*q - 693. Calculate the least common multiple of p and 84.
672
What is the common denominator of 29/576 and 50/150*51/(-64)?
576
Let y(w) = -w - 7. Let u be y(-11). Suppose 3*z + 135 = -2*i, u*i + 134 = -4*z - 46. Calculate the common denominator of 85/4 and (-18)/z + (-1041)/(-135).
36
Let o = -8 + 48. Calculate the smallest common multiple of (-21)/(-6)*o/14 and 8.
40
Let q = 1834552505694244463/565524 + -3243987002662. Let s = 22/6147 - q. Let a = s + -30/23. What is the common denominator of 31/22 and a?
44
Let f = -39918 - -39929. Let j(s) = -s**2 + 5*s - 4. Let g be j(4). Calculate the smallest common multiple of f and (g - 14)/(-1) + -2.
132
Let r be 4 + -5 - (26012 - 2). Let z be 2/(-35)*65552700/(-144). Let l = r + z. What is the common denominator of 39/7 and l?
42
Let l = 737 - 542. Let m = -140 + l. Calculate the least common multiple of m and 15.
165
Let x be (15/(-19824))/((-15)/152310). Let f be (-2)/(-4) - 461/826. Let t = x + f. Find the common denominator of 3/2 and t.
8
Let o = -25032507/244 - -102592. What is the common denominator of o and -11/1220?
1220
Let o = -58403 - -31648. Let v = o + 1712227/64. Find the common denominator of 87/44 and v.
704
Let m(b) = -16*b**2 - 4*b. Let r be m(-4). Let c be (132/(-30))/(2/r). What is the common denominator of 19/10 and (-4)/(-21)*c/(-128)?
70
Calculate the common denominator of 69/2 and (-9)/(-15)*8905/(-205218).
5262
Let d(w) = -5*w - 19. Let a be d(-6). Suppose -a + 1 = 5*i, -p - 10 = -4*i. Let z = p + 40. Calculate the smallest common multiple of z and 22.
22
Let h(b) = -b**3 - 2*b + 30. Suppose -d - 4*d - 5*u + 15 = 0, -6 = 4*d - 2*u. What is the lowest common multiple of 70 and h(d)?
210
Let d = 1224651 + -2177429537/1778. What is the common denominator of -1/26 and d?
23114
Let z be ((-58)/15 + 2)/(30/(-14925)). Let k = -919 + z. Find the common denominator of 11/2 and k.
6
Let k = -21237/7 + 233573/77. Let d = -2998/10087 - 7/131. What is the common denominator of k and d?
77
Let n = -9203 + 9343. What is the least common multiple of 8 and n?
280
Suppose -2*f - 3*o = -75, -3*f + 170 = 2*f + 4*o. 