8. What is the common denominator of a and -30/23?
3795
Let l = -222 - -176. Let d be 1/((6/124)/(-3)). Let r = l - d. What is the smallest common multiple of 2 and r?
16
Let t(l) = l**3 + 8*l**2 - 5*l - 63. Calculate the smallest common multiple of t(9) and 282.
2538
Let v = 22116/7 - 885277/280. What is the common denominator of (-13)/(-182)*1239/(-30) and v?
40
Suppose -10*l + 16*l - 48 = 0. Suppose -20*i - 4 = -22*i. What is the least common multiple of l and i?
8
Let y = 349915/140967 + -4/5221. Let x = -25769/2930 + -3/586. Calculate the common denominator of x and y.
135
Find the common denominator of -39/44 and (15/(-20))/(8/36 - 3492/1863).
1672
Let k = -1139/372636 + 1/1882. Calculate the common denominator of k and 75/44.
396
Suppose -7*q + 4*u + 16 = -5*q, -3*q = -3*u - 15. Suppose -6 = -q*p, -j + 0*p + 2*p = 92. What is the common denominator of j*3/33*3/6 and 59/5?
55
Suppose 422 = -34*p + 40*p - 2842. Calculate the lowest common multiple of p and 1360.
2720
Let h = 27 + -9. Suppose -3*u + h = -0*u. Find the common denominator of 15/4 and (2/u)/(15/(-95)).
36
Find the common denominator of -46 + 46 + 2093/(-2124) - (3 + -4) and 7/3186.
6372
Let x = 199 - 105. Suppose -o - x = 174. What is the common denominator of ((6/(-40))/(-3))/((-7)/o) and 21/8?
280
Let o(g) = 2*g**2 - 12*g + 9. Calculate the smallest common multiple of (88/48)/(13/78) and o(6).
99
Let y be 52/(-12)*30/(-7). Let a = -5086/1377 + -1571062/106029. Let s = a + y. Calculate the common denominator of 53/24 and s.
264
Let u = -1327 - -2717/2. Let g = -182614/15 + 24339/2. What is the common denominator of g and u?
30
Let r = 98 + -68. Let y(k) = -9*k**2 + 30*k + 29. Let x be y(-1). Calculate the lowest common multiple of r and -2*(-2 - (-21)/6)*x.
30
Let j = -41 - -68. Let d = 50 - 59. What is the lowest common multiple of 0 - (76/12 + -3)*d and j?
270
Let j(h) = -5*h**3 - h**2 + 3*h - 3. Let l(x) = -3*x**3 - x**2 + 3*x - 3. Let n(a) = 2*j(a) - 3*l(a). What is the least common multiple of 21 and n(0)?
21
Let o = -282773/13552 + 1604/77. Find the common denominator of -51/4 and o.
1936
Let f = -455603/24 - -18988. Find the common denominator of -107/408 and f.
408
Suppose 4*j - 48 = 3*j - 3*g, 2*j - g - 68 = 0. Find the common denominator of 8/44 + (-155)/(-176) and (-3)/9*-3 + 50/j.
144
Calculate the lowest common multiple of 1542 - (8/(-22))/(268/(-22) - -12) and 560.
6160
Let r = -723 - -723. Suppose 6 = 3*h, -g + 3*h + 2*h = r. What is the least common multiple of g and 7?
70
Let q be (6/4)/((-21)/(-42)). Suppose b + 8 = q*b. Suppose b*w = l + 2, 2*l - 6*w = -4*w + 2. Calculate the lowest common multiple of l and 9.
18
Let h(z) = 71*z**2 - 6*z + 7. Let l be h(1). Calculate the least common multiple of 138 and 19/12*2 - l/432.
138
Calculate the smallest common multiple of 1/(2/(40/5)) - (-104632)/22 and 170.
4760
Let x(r) be the third derivative of -r**4/4 + r**3/3 - 17*r**2. Let u be x(3). What is the common denominator of ((-34)/u - 2)*(-368)/12 and 1/22?
66
Suppose -30 = n - 6*n. Let u = 14 + -15. Let d(b) = -7*b**3 + b**2. What is the least common multiple of d(u) and n?
24
Suppose -275*b + 232*b = -220 + 48. Calculate the smallest common multiple of b and 788.
788
Let c be (-2)/(-6) - (-2090)/(-6282). Let l be 304621/58632*7*10/(-105). Let h = c - l. What is the common denominator of h and -33/14?
28
Suppose -5*p - 386 = -391. What is the smallest common multiple of (p/(-2)*-2)/((-5)/(-50)) and 86?
430
Let m = 573919/36354 - 1298/83. Find the common denominator of m and -139/78.
5694
Let j = -596 + 575. Calculate the lowest common multiple of (-9 - -3 - j) + -3 and 216.
216
What is the lowest common multiple of 2*(-18)/(-15)*(-160)/(-24) and (-9)/((-36)/16) - 0?
16
Let h be ((-292482648)/17843049)/(-8) + 10/(-4). Let r = h + 6/32501. Find the common denominator of -19/18 and r.
1098
Find the common denominator of 29/468 and 198/(3/(39/(-52))).
468
Suppose -20*i = 116 + 4. Find the common denominator of (-297)/275 + i/15 and 157/30.
150
Let m be 33/(-22) - (-300)/(-88). Let d = m - -703/132. What is the common denominator of d and -1 - (118/(-36) - -1)?
36
Let r(g) = -126*g**3 + 11*g**2 + 57*g + 62. What is the smallest common multiple of r(-2) and 100?
1000
Let z = -233 + 235. What is the common denominator of z + ((-1)/(-79))/(2/(-342)) and 71/10?
790
Suppose 4*n = 3*g - 9622, -5*n = -4*g + 5087 + 7741. What is the least common multiple of 11 and g?
35222
Let l = 199123/960 + -1659/8. Find the common denominator of 17/5 and l.
960
Let w(c) = -6*c - 8. Let m(v) = -v**3 - 29*v**2 - 52*v + 86. Calculate the lowest common multiple of w(-8) and m(-27).
160
Suppose -8 = -5*b + 2. Let l be (-302106)/1608*((-261)/132 + b). Let p = 3/1072 - l. Find the common denominator of p and 41/7.
77
Suppose 77*w - 17 = 60*w. What is the common denominator of -83/30 and (w + (-68)/60)/(36/6795)?
30
Let o(y) = -847*y**3 + y**2 - 4*y + 3. Let v be o(1). What is the common denominator of 51/56 and (165/v)/((-8)/14)?
616
Let l = -1037 + 1040. Suppose 4*s = 3*c - c + 120, -4*s + 130 = l*c. Let g = -3935/28 + 926/7. What is the common denominator of s and g?
4
What is the common denominator of 29/49 and (22/2475 + 0)/(28/(-815))?
4410
Suppose 4*y + 132 = 456. Find the common denominator of ((-50)/12)/(900/y - 8) and -89/4.
56
Let p = 330155/468732 - -2/10653. Find the common denominator of p and 103/132.
132
Suppose 0 = h - 5*p - 370, -1140 = -3*h - 19*p + 24*p. What is the smallest common multiple of 7 and h?
385
Let p = -7004 + 10994. Find the common denominator of 455/p*(-42)/(-4) and -9.
76
Let w = 55 - 25. Let n(o) = 3*o**2 - 4*o - 1. Let t be n(2). Suppose 0 = 4*f - 12, t*f - 7 - 11 = -b. Calculate the lowest common multiple of w and b.
90
Let s(h) = -1271*h**2 - 1. Let v be s(-2). Let l = v + 162737/32. Find the common denominator of 47/80 and l.
160
Suppose 0*x - 2*g + 2 = x, 24 = 5*x - 4*g. Suppose -p + 2*k = -12, 6 = 4*p - 2*k - 12. Suppose 8*l + p = 10. What is the smallest common multiple of x and l?
4
Let o = 3837411/49321 + -2879/37. Let y = o - 90572/11997. What is the common denominator of -163/60 and y?
180
Let i be 1*78/(-5)*14550/120. Let g = 1843 + i. What is the common denominator of g and 0 + (-1)/(-5)*-6?
10
Find the common denominator of (-74*(-2)/4)/(342 - (2 - 4)) and 51/4472.
4472
Suppose -5*h = q + 3300, 3*q + 1819 = 2*h - 8132. Calculate the common denominator of 74/(-30) + (-1)/(-2) and 2/17 - 12649/q.
30
Suppose -9580 + 1246 = -9*y. Let w = 82 - 64. Calculate the least common multiple of y and w.
8334
Let b = -5880 + 6120. Calculate the least common multiple of 60 and b.
240
Let p(a) = -11*a + 130. Let q be p(-30). Calculate the common denominator of 5/6 and 145/(-2)*4/q.
138
Let n(j) = -10*j**3 - 1. Let i be n(-1). Let o = 345649/22 + -15714. Find the common denominator of i/(-3) - 52/(-48) and o.
132
Let h = -2313497/65 - -35593. What is the common denominator of -137/120 and h?
1560
Let m = 23371 - 15401. What is the smallest common multiple of m and 12?
47820
Let t(m) = 13*m**2 + 66*m - 12. What is the smallest common multiple of 712 and t(-12)?
2136
Let x = 1045 + -610. Suppose 33*y - x = 28*y. What is the smallest common multiple of y and 21?
609
Let z be 641/9 - (258/(-54) + 5). Let l = 65/787 - 97729/163696. What is the common denominator of l and z/25*(6 + 152/(-32))?
1040
Let d = -41 - -81. Let w = -620069/30 + 20675. What is the common denominator of (d/32)/((-6)/50) and w?
60
Let f = 201732 + -39943027/198. Find the common denominator of f and 17/207.
4554
Suppose -5*i = 4*k + 1241, 7*k - 8 = 9*k. Let m(u) = -u**3 + u**2 + u + 50. Let g be m(0). What is the common denominator of -2 - 1/(g/i) and -61/6?
30
Let v = 31215 - 26742. Calculate the least common multiple of 2982 and v.
8946
Suppose 10*y = 68 - 518. What is the common denominator of -87/104 and y/120*(-8)/(-42)?
728
Suppose -908 = -8*k + 10492. Let b be (5/k)/((-2)/831). Let z = 13/10 + b. What is the common denominator of z and 32/11?
209
Let t = 11 + -11. Suppose t + 6 = 3*z. Let s = 610 - 599. Calculate the smallest common multiple of z and s.
22
Let g = 4179/110 - 446647/6930. Let j = 214/7 + g. What is the common denominator of j and ((-635)/40 + 3)/6?
144
Let w be (4 + (-1