8). Let i = h - -1213. What is the common denominator of i and a?
48
Suppose 3*q - 129 = 114. Let k = 77 - q. Calculate the lowest common multiple of -2 - 0 - -6 - k and 1.
8
Suppose -87*g + 91*g = 92. Let f(h) = 2*h - 32. Calculate the lowest common multiple of f(g) and 192.
1344
Let i be (1 - 2) + (1726 - 2). Let g = -146/47 - -320889/188. Let d = g - i. Calculate the common denominator of 35/18 and d.
36
Let u(b) = -129*b - 290. Calculate the lowest common multiple of 16 and u(-10).
2000
Let w = -1033899/62 + 16675. Calculate the common denominator of w and -63/62.
62
Let t = 3466 - 3400. Calculate the least common multiple of t and 90.
990
Suppose 34 = -0*f - 2*f. Let w = 167 + f. Calculate the least common multiple of w and 45.
450
Let f = -864251879/90 + 9603007. Let j = 1930/9 - f. Calculate the common denominator of 17/2 and j.
10
Suppose 240 = n + 4*n. What is the common denominator of 163/120 and (6 + (-286)/n)/((-4)/568)?
120
Let w(z) = -z**3 - 8*z**2 - 12*z - 38. Let a(x) = -x**3 - 8*x**2 - 12*x - 37. Let o(f) = -6*a(f) + 5*w(f). What is the lowest common multiple of o(-6) and 16?
32
Let g = 336181/7078 + 12/3539. What is the common denominator of g and 27/1106?
1106
Let z(x) = 6*x**2 - 2. Let q be z(-1). What is the common denominator of 47/8 and 3/q - (-783)/(-72)?
8
Let h = -747 - -2359. Let g be -2 - 2*h/(-32)*68. Let u = -82075/12 + g. Calculate the common denominator of u and 23/6.
12
Let l(n) = 14*n + 6*n + 43 - 69*n - 2*n**2. What is the smallest common multiple of l(-25) and 14?
126
Suppose 812 = -1976*t + 1995*t - 290. Suppose x = 5*s + 36, -2*s + 3*x - 17 = -0*s. What is the lowest common multiple of (1 + (-13)/7)*s and t?
174
Let a be (-6)/45 - (-2525502)/(-315). Let b = 3968507/495 + a. Find the common denominator of -38/45 and b.
495
Suppose 0 = -8*m + 2*m + 78. Suppose 0 = -4*k - 3*g + 6 + 17, 2*g + m = 3*k. Let c(d) = -2*d + 13. Calculate the lowest common multiple of c(k) and 3.
3
Let d = -774982669/1578 + 491117. Find the common denominator of -70/3 and d.
1578
Suppose 100*j = 7307 + 21693. Calculate the lowest common multiple of j and 7.
2030
Suppose -5*u = 3*k - 7871, 4*u - 4*k - 3191 = 3093. Calculate the smallest common multiple of u and 605.
7865
Suppose -5*z - 12 = -4*s - 7*z, 5*s + 4*z - 15 = 0. Suppose s*v - v - 92 = 0. Let b = v + -44. What is the smallest common multiple of 1 and b?
2
Let u = 526603/15 + -35104. Find the common denominator of u and 39/638.
9570
Suppose 7412 + 958 = 90*a. Calculate the lowest common multiple of a and 144.
4464
Let z = -132 + 181. Suppose -3*x + 3*c + 12 = 0, -3*x - 5*c = x + 11. What is the smallest common multiple of x and z?
49
Let k = -2/3949 + -122403/31592. Find the common denominator of (5232/(-18))/8*(-3)/198 and k.
792
Calculate the common denominator of (-609)/6*258/1204 and -33/244.
244
What is the common denominator of 21/187 and 1309/(-102)*33/21?
1122
Suppose -5*l = -2*s - 15, -4*s + 0*s = -3*l - 5. Suppose 4*v = 3*d - 3 + 23, 4*d + 26 = 5*v. Find the common denominator of v/(-5) - 2133/(-2520) and s.
56
Let f = 131 + -115. Suppose 4*a = -f - 88. Find the common denominator of ((-9)/a)/(-6*6/420) and 1/16.
208
Calculate the common denominator of (-37)/10 - (-1 - -1) and ((-183)/(-77) - 5)/(56/(-98)).
110
Let r = 16 + -9. Let x = r - 22. Find the common denominator of 59/4 and -1 + (52/(-2))/(18/x).
12
Suppose 0*b + 126 = 2*b - 5*r, -r + 172 = 3*b. Suppose -40 = 67*h - 65*h. Calculate the smallest common multiple of b and 28/h - -3 - 2/(-5).
58
Let i be ((-25)/(-15))/(16/(-36) - -1). Suppose -8*p + 6 = -3*p + i*g, -4*g = -5*p + 27. What is the lowest common multiple of p and 70?
210
Let w = 105218/19 + -5539. Let d be (3 + -2)*59975/50655. Let a = d + -2/921. Find the common denominator of a and w.
209
Let y = -8622 + -3706. Let a = y + 197319/16. Find the common denominator of (-4)/(-10) - (-256)/(-15) and a.
48
Let q = -173 - 253. Let d = 588 + q. Calculate the least common multiple of d and 42.
1134
Let k = 46/923 + 33335/90454. Find the common denominator of 121/126 and k.
882
Suppose 2515 = -2*s + 2737. What is the smallest common multiple of 156 and s?
5772
Let h = -29739/5 + 2795271/470. Let s = h + 2745/329. Let t = 2/163 - -10917/326. Find the common denominator of s and t.
14
Let v(i) = -2*i + 6. Let w be v(4). Find the common denominator of 37/16 - ((-26)/195*3 - 133/(-95)) and 86/40 + (-2)/w.
80
Let u(f) = 774*f - 103. Let k be u(3). What is the common denominator of 109/28 and (-4)/10 - 7/(3430/k)?
28
Let v = 5/1361 - 1411/13610. Let l = 48075 - 3701839/77. What is the common denominator of l and v?
770
Let d(g) = -g**3 - 16*g**2 - 13*g + 14. Let t be d(-14). Let r be (128060/296)/((-4)/t). Let o = 21200 - r. Calculate the common denominator of -63/20 and o.
740
Suppose -4*k - 4*k = 0. What is the least common multiple of 131 - (-2 + 2 - 1) and ((-2664)/(-1665))/((-1)/(-10) + k)?
528
Let n(u) = -2*u**3 + 4*u**2 + 46*u - 1. Let p be n(9). What is the smallest common multiple of 11 and (-1 + 0)/((63/p)/9)?
1133
Let r = -3058 + 12321/4. Suppose -3*a = 2*a + 160. Find the common denominator of 2 + 326/a + 2 and r.
16
Let k(u) = 11*u**2 + 85*u - 22. Let s be k(-8). Suppose s*h = -8, h - 147 = -2*b + 181. Calculate the smallest common multiple of b and 12.
996
Let s = 733 + -413. What is the common denominator of -57/104 and (430/s - 2)*14/6?
416
Let y = 1109/3 - 44321/120. Calculate the common denominator of y and (1 + 40)*-15*(-5)/(-7200).
480
Suppose 3*z = -7 + 1. Find the common denominator of -47/18 and -2*(-135)/(-156) - z.
234
Let j(z) = 37. Let h(p) = -p - 73. Let m(n) = 3*h(n) + 7*j(n). Let c be m(15). Calculate the common denominator of 101/18 and (c - (-2598)/522)/(32/582).
2088
Let c be -2 + 35/10 - (-2883)/6. Suppose -15*k + 298 = -c. Let z(r) = -8*r + 2. What is the least common multiple of z(-2) and k?
468
Find the common denominator of 17/(-42 + -4*5/4) and ((-1)/2)/((-54)/456).
423
Let y be (-27 + 1)/((-4)/(-8)). Let f = -28 - y. Suppose 16 = 2*u - f. Calculate the least common multiple of u and 10.
20
Let x be 429/22 - 2/(-4). Suppose -3*l = l - x. What is the smallest common multiple of 6 and 2/(l/((-25)/(-5)))?
6
Let r(l) be the first derivative of -25*l**2/2 + 30*l + 17. Let t be r(-4). Calculate the smallest common multiple of 2 and (-1)/(1 - 135/t).
26
Suppose h + 0*f + 2*f = -6361, -h - 6361 = -5*f. Let g = 88969/14 + h. Let v = -1464 - -5927/4. Calculate the common denominator of v and g.
28
Let c = -14 - -19. Suppose -9*h + 115 = -74. Calculate the least common multiple of c and h.
105
Let u = 823 - 16473/20. Find the common denominator of -13/36 and u.
180
Let y = -181 - -1273. Calculate the least common multiple of 4 and y.
1092
Let p = 1112/45 - 64387/2520. Let t = 15881/5 - 666287/210. Calculate the common denominator of t and p.
168
Calculate the lowest common multiple of 6692 and 73 - -3*(-2)/(-9 - (-7 - 4)).
33460
Let c = -325 + 328. Suppose -c*j + 32 = -f, 4*j + 5*f = 6*f + 41. What is the least common multiple of j and 60?
180
Suppose -5*k + 4 = -3*k. Suppose p + 3 = 0, -25 - k = -4*l + 5*p. Suppose -a + 6*a = 5*b + 45, -5*b = -a - l. Calculate the smallest common multiple of 8 and a.
24
Calculate the common denominator of 5/172 and ((-39)/234)/(6/(-26)).
1548
Let j(s) = 73*s**2 + 4 - 56*s**2 - 49*s - 18*s**2. Calculate the smallest common multiple of 271 and j(-49).
1084
Let s = 60743/84 - 723. Calculate the common denominator of s and -43/168.
168
Find the common denominator of 122/(-488) + (-615)/(-108) and 25/271.
2439
Let v = 19534 + -19502. Calculate the lowest common multiple of v and 6008.
24032
Let q(s) = -12*s - 6*s + 5*s + s**2 - 6*s + 32. Let g be q(18). What is the common denominator of -1 and ((-36)/20)/(g/(-30))?
7
Let n(v) = -v**3 - 3*v**2 + 8*v + 6. Suppose -10*b - 41 - 9 = 0. What is the lowest common multiple of (-69)/(-6) - (-6)/((-60)/b) and n(-6)?
132
Suppose -270 = 10*l - 12*l - 2*u, -3*l - 2*u + 402 = 0. Calculate the least common multiple of l and 121.
1452
Let w = 60398 + -60384. Let z(y) = 5*y**2 + y. Let l be z(1). Let x(u) = 2*u + 2. What is the lowest common multiple of x(l) and w?
14
Suppose 409 + 215 = -8*v. Calculate the lowest common multiple of 11 and (-2 - -89)*(-26)/v.
319
Let 