1419. Calculate the common denominator of w and -57/110.
4730
Let r(c) = -2*c**3 + 8*c**2 + 2*c + 10. Let t(w) = -w**3 + 2*w**2 - w + 4. Let i be t(0). What is the smallest common multiple of r(i) and 60?
180
Let p(a) = -2*a**2 - 12*a - 2. What is the least common multiple of 34/30 + 4/(-30) + 7 and p(-5)?
8
Let g be (1/(-66))/((-168)/4725). Let b = 48/11 - g. What is the common denominator of b and -19/8?
16
Let x be (268/201)/(-2*3/4995). Calculate the common denominator of 7/(-2)*(-7)/41 and -5 - 3/(-2)*x/(-108).
492
Let f = 318617/396 + -9659/12. Calculate the common denominator of f and 203/330.
990
Suppose 2*r - r - 535 = 2*u, -2*r = -5*u - 1068. Let w = r + -2679/5. Find the common denominator of w and (-1)/(-2) + (-310)/36.
45
Let v(q) = q + 12. Let r be v(-10). Suppose 5*b + r*y = 208, 4*y - 81 = -2*b + y. What is the smallest common multiple of b and 3?
42
Let b(d) be the third derivative of -d**5/60 + 11*d**3 + 6*d**2. Let x be b(0). Calculate the common denominator of 129/x + (-10)/5 and 59/22.
22
Let t(b) = -b**2 + 8*b + 1. Let z be t(7). Suppose 12*a - 4 = z. Find the common denominator of 774/(-60) - -7 - a*-1 and -83/38.
190
Let p = -38209 - -3973647/104. Find the common denominator of ((9/10)/(-3))/((-108)/(-45)) and p.
104
Find the common denominator of 73/27 and 6/30 + (-623)/(-4410).
378
Let u = -31750135/12 - -2642057. Suppose -i = 0, -5*i = -5*r - 6*i - 18900. Let m = r - u. Find the common denominator of -99/4 and m.
12
Suppose 124 = -4*s + 3*s + b, -s + 4*b = 118. Let r be (4/3)/(6/s*2). Calculate the lowest common multiple of (-36)/84 + (-174)/r and 9.
36
Calculate the common denominator of (4/(-160)*-2)/((-2)/(-271)) - 5 and 19/3568.
17840
Suppose 2*f - 6 = 2. Suppose 0*w + 28 = 4*b - 2*w, 0 = 3*b - 5*w - 35. Calculate the least common multiple of (-10)/((-12 - -2)/b) and f.
20
Let j = 16 - 6. Suppose -c = -7*c + 12. Suppose u + 205 = 6*u - 4*g, -4*g = c*u - 54. Calculate the least common multiple of u and j.
370
Let g(w) = w**2 + 2*w - 19. Suppose 4*x - r = -107, -4*r + 31 = 3*x + 135. Let k be (1 + 0)*-2*(-98)/x. Calculate the lowest common multiple of 18 and g(k).
144
Let c = -23 - -34. Suppose -3224 = c*i + 76. Calculate the lowest common multiple of 3 and ((-72)/(-10))/((-40)/i).
54
Let w = 1/6712 + 8299/610792. Let r = 1489/910 + w. Calculate the common denominator of r and 39/40.
40
Let z = -12575 - -11141451/886. Find the common denominator of z and -103/22.
9746
Suppose 0 = 2*y + 88 - 50. Find the common denominator of y/8*(-8)/28 and 48/7.
28
Let w(t) = -131*t**2 + 16*t - 11. Let y be w(15). Let x = -2866149/98 - y. What is the common denominator of 85/14 and x?
98
Let k(h) = 3*h**2 + 2*h - 5. Let m = 9648 - 9627. What is the smallest common multiple of m and k(-4)?
105
Calculate the common denominator of (-7 - -8) + 2/(-40)*107 and (68/30)/((-22)/(-99)).
20
Let l(u) = 6*u**2 - 103*u + 482. What is the smallest common multiple of l(8) and 6132?
6132
Let f = -75213/8 + 9410. Calculate the common denominator of f and (-202)/(-72) - (-2)/6.
72
Let j be (-2)/9*1 + (-75)/27. What is the smallest common multiple of (1/1 - (-36)/j)*-1 and 13/3 - (-3)/(-9)?
44
Let h = -106 - -121. Suppose 70 = 3*z - 5*s, 3*z - 11 = 4*s + 57. What is the lowest common multiple of z and h?
60
Let a = -2/1393 - 589/5572. Find the common denominator of (-105)/(-90)*(-450)/560 and a.
112
Let p = -66537 - -56955653/856. Find the common denominator of 97/30 and p.
12840
Let w = 171533915383/104 + -1649386748. Let f = w + 22173. Let y = 44/13 + f. Calculate the common denominator of 41/34 and y.
136
Let t be 4/(-14) - (-141950)/(-35). Let b = -165/1652 + 1684978/413. Let h = t + b. Calculate the common denominator of h and -18/11.
44
Let t = 16156/51 + -316. What is the common denominator of t and -37/102?
102
Let r = 3900 - 1851. Let q = 22584/11 - r. Find the common denominator of (-1)/(-4)*234/(-36) and q.
88
Let z = -75185/2 - -8458324/225. What is the common denominator of z and -33/16?
3600
Find the common denominator of (46/5865)/((-12)/(-1098)) and 83/2300.
39100
Let n = -582 - -627. What is the lowest common multiple of 810 and n?
810
Let o(b) = 3*b**3 - 2*b**2 + 18*b - 36. Let v be o(2). Find the common denominator of 5/4 and 52/20*20/v.
4
Let y = 8410 + -185051/22. Let v = -242 - -17. Let t = v - -4027/18. Calculate the common denominator of t and y.
198
Calculate the common denominator of -127/1296 and 82/(-324) - 49/147.
1296
Let p = -4845 + 58283/12. Calculate the common denominator of p and 3/27*5416/224 + 4/14.
36
Suppose -5*l - 4 = 2*b + 16, 16 = 3*b - 4*l. Suppose -u + b*u = -18. What is the least common multiple of u and 2 + -4 + 2 - -15?
90
What is the least common multiple of (16/10)/(72/326520) and 44?
79816
Let f(l) = l**3 + 8*l**2 - 50*l - 26. Let y be f(-12). Let t = -6599/4 - -1635. Find the common denominator of (-166)/(-96)*y - (-5)/20 and t.
24
Let z be (3 - 5) + 5 + 1. Let v = 107979/8 - 13506. Find the common denominator of v and (-2)/z*150/(-48).
16
Suppose -96 = -f + 73*y - 78*y, -3*f - 5*y + 228 = 0. Suppose 3*u = 7*u - 32. What is the lowest common multiple of f and u?
264
Suppose -5*j - 4*d = -20, 2*j - 4*d = 208 - 172. Calculate the smallest common multiple of j and 8.
8
Let f(b) = -13*b. Let o be f(0). Suppose 5*j - y = -o*y + 48, -2*j + 27 = -3*y. What is the smallest common multiple of 6 and j?
18
Let y(x) = x**2 - 4. Calculate the least common multiple of (1/6)/(1/30) and y(7).
45
Calculate the common denominator of ((-769662)/(-125388) - 6/1)*3/(-4) and 17/158.
81528
Let v(d) = 7*d - 5. Let a(g) = 4*g - 3. Let o(f) = 5*a(f) - 3*v(f). Let y be o(-12). Calculate the common denominator of ((-62)/y)/(-3 - -6) + -2 and -95/14.
126
Suppose -5*k - 510 = -5*w, 506 = 5*w - 8*k + 4*k. Suppose 59*i = 60*i - w. Calculate the smallest common multiple of 14 and i.
98
Suppose 2*a + 673252464 = 160301646. Let n = 1283402960291/5004 + a. Let u = n + -25/278. Calculate the common denominator of 151/30 and u.
180
Suppose -1 = n, -5*y + 3*n - 7*n + 11 = 0. What is the least common multiple of 183 and y?
183
Suppose 10*f = -54 + 54. Suppose -2*z = z - n - 23, n - 1 = f. Calculate the smallest common multiple of 6 and z.
24
Suppose -2888 = 5*f - 2*m, -4*f = -0*m - 2*m + 2312. Find the common denominator of (-2072)/f*8/28 and -123/20.
180
Let f(p) = 61*p - 362. Let d(g) = 3*g**2 + 1. Let r be d(-1). Suppose 0 = 2*c + r*a - 4, -2*a = 2*c - 2 - 6. Calculate the lowest common multiple of f(6) and c.
12
Let l(h) = -3*h + 5*h + 3*h - h**2 + 5 + 3*h. Let i be l(9). Calculate the common denominator of -59*(i + -2)/12 and 23/2.
2
Suppose 4*q = l - 44, 67 + 9 = 4*l + 4*q. Find the common denominator of 97/44 and (-7)/(7/(-5)) - 417/l.
88
Let g = 2/1075809 + 1193804/828014327. Let y = g - -112961/124686. What is the common denominator of 43/8 and y?
216
Let w = -83/101 - -181939/219675. Find the common denominator of 131/24 and w.
17400
Suppose 4*z + 25372 = 8*l, -4*l + 18871 = -5*z + 6212. Calculate the least common multiple of 16 and l.
6352
What is the common denominator of 19/72 and 154/165*35/(-21)?
72
Let g = -464259157/882 - -526371. Calculate the common denominator of g and -71/196.
1764
Let n = 877 + -4399/5. Find the common denominator of 246/(-1105) - (32/20)/(-8) and n.
1105
Let v be 1*-3 + (-11 - -10). Suppose 0*p + p = -2*u + 82, 4*p - 118 = -3*u. What is the lowest common multiple of 1/(-3) - (88/(-12) - v) and u?
42
Let t = 11304 - 11295. What is the lowest common multiple of (-1 - -2) + 46/2 and t?
72
Let k = -5150 + 41125/8. Calculate the common denominator of k and (12/60)/((-206)/110 - -1).
48
Let j = 464171/36 + -12892. What is the common denominator of ((-1612)/468)/((-2)/(-6)) and j?
36
Let g be 4/16 - (-59)/4. What is the common denominator of 825/135*(18/g + -2) and -1 - 4/((-264)/105)?
198
Suppose 3*g - 360 = -0*g. Suppose 104*b - 107*b = -g. What is the least common multiple of b and 7/2 - (-1)/2?
40
Suppose 0*p - 104 = 4*c + 2*p, 4*c + 4*p = -108. Let f = 3548 - 31871/9. Calculate the common denominator of f and 3*5/(-30) - c.
18
Let x be 3*-1 - (1 + -43). Suppose -5*a = -2*g - x, 2*a - 5*g - 5 = 19. Calculate the smallest common multiple of ((-72)/(-56))/((-3)/(-14)) and a.
42
Let o(l) = -28*l**2 -