 156/99 and a.
4125
Let f = 54/5 - 13. Let v = f + -23/60. Let o = -3664 - -29219/8. Find the common denominator of o and v.
24
Suppose 5 - 40 = -7*o. Suppose -o*z - 4*y - 1190 = -3*y, 0 = 5*z - y + 1190. Find the common denominator of -107/22 and 1 + (0 - 1) - (-255)/z.
154
Let m = 5039/1312 - 87/41. What is the common denominator of 107/12 and m?
96
Let s be ((-456)/(-36))/(2/(-24)). Find the common denominator of 45/2 and s/300*3 + 0/1.
50
Let k be ((0 + 1)/(-1))/((-11)/(-11)). Let a be 0 + 1 - (k - 0)*-3. Calculate the lowest common multiple of 11/(-2) + 5 - 19/a and 37.
333
Let y be 6/11 + 2928964/633688. Let j = -1/1137 + y. Calculate the common denominator of j and (4/(-10))/((-48)/1090).
12
Let y(o) = 737*o + 777*o - 1516*o + 4. Let p(f) = -f**2 - 5*f + 5. Let b be p(-6). What is the lowest common multiple of 4 and y(b)?
12
Suppose 3*z = -2*c - 506 + 20850, -27140 = -4*z + c. Let w = z - 352787/52. Calculate the common denominator of w and 1/20.
260
Let i = 76049731/247318800 + 2/618297. What is the common denominator of 31/100 and i?
400
Let u(c) = -3*c**3 - c**2 - 2*c - 3. Suppose -2 = 4*a + 6. Suppose 10*l + 0*l - 300 = 0. What is the least common multiple of l and u(a)?
210
Let o = -75 - -85. Suppose 0 = 5*j + o, -4*a - j = -5*a + 46. What is the smallest common multiple of 36 and a?
396
Suppose 26*y - 6 = 23*y. Suppose s = 2*v - 28, -4*v - 5*s = -y*v - 40. What is the least common multiple of v and 8?
120
Let o = 2/391 - 14864/1173. Let k be 2 + (21275/60 - (-2)/(-8)). Let d = k - 353. Calculate the common denominator of o and d.
3
Let a = 112357 + -68425321/609. What is the common denominator of a and -77/290?
6090
Let a be -4 + (-21)/(-5) + (-16)/5. Let l be ((-1)/(-1))/(-1*a/6). Find the common denominator of -47/12 and l/4*268/12.
12
Let t = 115807 - 66929. Let o = -164718859/3370 + t. Let m = o - 56451/11795. Calculate the common denominator of 71/12 and m.
84
Suppose 17*x - 12*x - 55 = 0. Let j(a) be the third derivative of -a**4/24 + 11*a**2. What is the smallest common multiple of x and j(-1)?
11
Let f(w) = -4*w - 2. Let s be 1/((-2)/(-5))*-4. Let d be f(s). Suppose -46 + d = -y. Calculate the least common multiple of 11 and y.
88
What is the smallest common multiple of (200/140)/(115/27692) and 240?
10320
Find the common denominator of 3/((-29)/(4466/168)) and -87/806.
1612
Suppose 4*f - 3571 = -c, -2*f = -f + c - 889. Let s = -7189/8 + f. Find the common denominator of s and 49/9.
72
Let h = 470 + -476. What is the common denominator of 111/20 and (148/(-80) - -8) + h?
20
Let k = 1285/11 + -94089/814. What is the common denominator of 59/48 and k?
1776
What is the least common multiple of -1 + 1330/(-20)*(-100)/35 and 243?
1701
Suppose -4*a + 4 = 2*t, -t + 3*a = 7*a. Calculate the lowest common multiple of 52 and (-4)/(192/(-2004)) - (-1)/t.
1092
Suppose 4*o = -3*v + 305, v - 37 = 5*o + 33. What is the least common multiple of v and 160?
3040
Let l = 3 - -42. Let b = l + -42. Suppose y - 2*v = 9, -54 = -5*y + b*v - 2*v. What is the least common multiple of 12 and y?
132
Suppose 270 = 2*q - 7*q. Let k(u) = u**3 + 24*u**2 + 57*u - 52. Let i be k(-21). Find the common denominator of i/(-24)*(-3)/q*4 and -115/12.
108
Calculate the common denominator of 9/68 and 121/(-15) + (-56)/42 + -2.
340
Let o = 71128/3 + -379303/16. Find the common denominator of o and 11/(-80) - 2/(-10).
48
Suppose -129 + 138 = 3*g. Suppose -3*w = -r - 36, -g*r = -2*w + r + 34. What is the smallest common multiple of w and 9?
99
Let z(n) be the third derivative of -n**5/20 + n**4/24 - 2*n**3/3 - 6*n**2. Let d be z(2). Calculate the smallest common multiple of 1 and 1/(-3 - d/4).
2
Let t(o) = o**3 + 13*o**2 - 33*o - 13. Let a be -10 - (7 + -6 + (4 - 3)). What is the lowest common multiple of t(a) and 8?
4216
Let n = -127069639/4849479765 - -2/4825353. What is the common denominator of n and -77/45?
3015
Suppose d = -q + 22, 118 = 2*d + 3*d - 3*q. Calculate the common denominator of -20 + d - 10/12 and (-1)/6 + (-41)/33.
66
Let i = 48742 + -10528343/216. Find the common denominator of -50/81 and i.
648
Let j = 199 + -166. Calculate the common denominator of -51/22 and (j/(-90))/(12/(-30)).
132
Let u be (-40 - -8)/(-4) - 4. Suppose u*g - 235 = 205. What is the least common multiple of 22 and g?
110
Suppose -9*w + 5*w - 2*c = 190, 2*w - c = -97. Let a(i) = 5*i**2 + 6*i - 8. Let g be a(-6). Find the common denominator of (g/w)/(5/(-2)) and 29/12.
60
Suppose 8*n = -z + 6*n + 14, -2*n - 40 = -2*z. What is the least common multiple of 3/(z/210)*(-6)/(-5) and 77?
462
Let t(f) = 0*f - 10*f - f + 1266 - 2*f**2 - 1269. Calculate the lowest common multiple of t(-5) and 174.
174
Calculate the common denominator of 3/1196 and (-287)/10*57/(-3059).
5980
Let k = -129 + 131. Find the common denominator of -127/24 and -5 + 246/144*k.
24
Let j(x) = x**2 + 5*x. Let i be j(-5). What is the smallest common multiple of i + 8 - (2 + -2) and 34 + 180/18 + 12?
56
Let g = 8190/31 - 94611035/358112. What is the common denominator of -51/16 and g?
11552
Let x(o) = -77*o - 88. Let z be x(-4). What is the least common multiple of (1*14)/((z/(-33))/(-10)) and 63?
63
Suppose -30 - 14 = -4*q. Suppose 24 = 7*a - 4*a. Let j(s) = 3*s - 14. What is the lowest common multiple of j(a) and q?
110
Let h(u) = u + 20. Let a(g) = -g**3 - 7*g**2 + 5*g + 4. Let s be a(-8). Suppose 6*m - 52 = -s. What is the smallest common multiple of m and h(-12)?
8
Let y = -6070 + 6090. Calculate the lowest common multiple of 2962 and y.
29620
Suppose 4*i = -0*g - 4*g - 104, 4*g + i + 104 = 0. Calculate the least common multiple of 36 and g/(-4)*480/312.
180
Suppose 7*d - 3*d = -5*n + 108, 4*d = -4*n + 88. Suppose -14*h = 6*h - n. What is the smallest common multiple of h and 15?
15
Suppose -i - 3*k = -10, 0 = i + 4*k - 7*k - 10. Suppose 0 = f - 3, -f + i = 4*o + f. Calculate the smallest common multiple of 54*(-6)/(-18) - (10 - 1) and o.
9
Suppose 3*b - 45 = -2*g - 0*g, -51 = -3*b - 4*g. Suppose -b*a + 721 + 293 = 0. What is the lowest common multiple of 15 and a?
390
Let u = -57509/4 - -14398. Find the common denominator of u and 123/6670.
13340
Let x = 15807/4 + -1066963/270. Calculate the common denominator of x and -67/540.
540
Let x = -9/21463 + -1047097/10946130. What is the common denominator of 101/170 and x?
510
Let k = -290 - -168. Find the common denominator of -65/6 and k/4*(-11)/(-429).
78
Calculate the common denominator of ((-137)/222)/((102/(-136))/(6/16)) and -51/407.
4884
Let y be 78*-6*(-3 + 39/12). Calculate the common denominator of 1/2 - (-134)/(-20) and (-298)/20 + y/195.
10
Let d = -186034 - -2417137/13. Let b = d + 189311/1872. Calculate the common denominator of b and -61/18.
144
Let a = 91 + -10. What is the least common multiple of 18/(-24)*-4 + 1 + 1 and a?
405
Find the common denominator of 109/204 and 20/(-30) + 3370/5100 + 12/20.
1020
Suppose -4*h = 3*a - 2, -14 - 20 = -5*a + h. Let r be -3*((-64)/3 - 0). Suppose 9*g - r = 5*g. What is the lowest common multiple of a and g?
48
Let z(a) = 119*a + 4876. Calculate the least common multiple of 40 and z(-40).
1160
What is the lowest common multiple of (1 + 2)*102/306 and 913?
913
Let w = -171 + 173. Suppose w*u = -0*y - y - 5, -50 = -5*y + 5*u. Calculate the least common multiple of y and ((1 - -5) + -8)/((-2)/3).
15
Let n = 37418/43 + -69001501/79292. Find the common denominator of n and 39/5071.
20284
Suppose 5*v - 6155 = -5*r, 5*v - 6296 = -r - 133. What is the common denominator of -37/54 and (3/(-243))/((-6)/v)?
54
Calculate the common denominator of 109/1326 and 430/10*(-22)/528*4/(-91).
9282
Let u be -72*2/((-16)/(-2780)). What is the common denominator of (140/(-3))/(-3 - 3) and ((-2)/(-18))/((-15)/(u/8))?
18
Let c(f) = -f**3 + 21*f**2 - 66*f - 87. What is the lowest common multiple of c(15) and 351?
2457
Let p = 5/86612012 + -161739790881197/5629780780. Let a = p - -28730. What is the common denominator of a and -1/52?
260
Let d(m) = 9*m**2 + m - 16. Let b(i) = 8*i**2 + 2*i - 16. Let w(a) = 6*b(a) - 5*d(a). Let f be w(4). Find the common denominator of 13/18 and (1/f)/(8/496).
90
Calculate the common denominator of (22/55)/((-6)/(-65)) and 1/6*((-30420)/(-2850) + (-18)/(-10)).
114
Let s(m) = m**3 - 3*m**2 - m - 9. Let w be