Let d = 135 + -121. Suppose -2 = -5*h + 6*h, -2*i + 4*h = d. What is the common denominator of i and -35/8?
8
Let h = 1005 + -1000. Let f be (-546)/27 - (-2)/9. Calculate the smallest common multiple of h and 2/5 - 212/f.
55
Let v = 74 - 726. Find the common denominator of -53/21 and (30/(-8))/(5 - v/(-152)).
126
Let w be (-1299128)/88 - 2/11. Let h = w - -487262/33. Find the common denominator of -58/27 and h.
297
Let b(j) = 13 + 2*j - 5 - j - 9. Let p be b(1). Suppose -5*a - h + 58 = 0, 4*a + 4*h - 20 - 20 = p. What is the least common multiple of a and 14?
84
Let b = 17215/6957 + -149125861/55252494. Let c = b - 1/361. Calculate the common denominator of c and 4 + 3/((-12)/(-31)).
44
Let y = 15/5302 - -69779/167013. Calculate the common denominator of 85/14 and y.
126
Let q(b) = b**3 + 6*b**2 + 7*b + 11. Calculate the least common multiple of q(-3) and 5.
85
Let g = 26072 + -7613033/292. What is the common denominator of g and -31/8?
584
Suppose p - r - 69 = 0, 277 = p + 3*p - 5*r. Let d(v) = 3*v + 5. Calculate the smallest common multiple of d(5) and p/3 + (-2)/3.
220
Let m = -28 - -14. Let j be (-267)/30*242/m. Let i = 796/5 - j. What is the common denominator of 149/6 and i?
42
Let d(p) = -p + 21. Suppose 3*o + 0 = 39. What is the least common multiple of d(o) and 6?
24
Suppose 0*k = -2*k + 10. Let s = 576 - 276. Find the common denominator of -121/12 and k/(s/(-355)) - 2.
12
Suppose -5*h + c = -14, -3*c - 10 = -h - c. Let p(q) = 1 - 6*q**2 - 3*q - 2 + 5*q**2 - q**3 - 2*q**h. What is the lowest common multiple of 3 and p(-2)?
3
Let l(h) = 5*h - 4. Let w be l(-3). Let a = w + 27. Let i = -24 + 32. Calculate the least common multiple of i and a.
8
Suppose 3*m + 2*m = 90. Calculate the smallest common multiple of 84 and m.
252
Let p = -2/141 - -275/16074. Let v = -517/1368 + p. What is the common denominator of 49/9 and v?
72
Let l = -4 - 2. Calculate the common denominator of 1/1 - 63/20 and l/2 - 29/4.
20
Find the common denominator of -59/216 and (243/60 + -2 + -2)*63.
1080
Suppose 3*a = 5*l - 2*a - 25, -5*a + 5 = 0. Suppose 100 = 4*i + 12. Calculate the least common multiple of l and i.
66
Let a = 15 - 29/2. Let j = a + -4/9. What is the common denominator of j and -25/22?
198
Let c = -1456083 + 288303199/198. Let g = 7/99 + c. Find the common denominator of g and -11/4.
12
Suppose 3*s - 3*g = 48, 4*g + 24 + 22 = 3*s. Calculate the smallest common multiple of 18 and (4 + 4/12)*s.
234
Let l = 58 + -53. What is the common denominator of 51/(-8) + (-5)/l and -99/50?
200
Let y be (1/(-4))/((-2)/56). Let i(g) = -g**3 + 7*g**2 + g - 1. Let s(w) = -6*w + 1. What is the lowest common multiple of s(-1) and i(y)?
42
Let i be (7 - -7) + (-6 - -2). Suppose 12*q = 17*q - i. Calculate the lowest common multiple of 16 and q.
16
Suppose 56 = k - 5*k. What is the common denominator of -23/26 and (-2)/(8/2) + k/112?
104
Let c be (-1)/4 + 3*(-6)/(-72). Calculate the lowest common multiple of 32 and c - (4 - (-8)/(-1)).
32
What is the smallest common multiple of 259 and (-156)/390 + 212/5?
1554
Calculate the common denominator of (5 + (-11 - -4))/(64/29) and 119/192.
192
Let j = -9197/4 + 2277. Calculate the common denominator of j and 41/393.
1572
Let l be 70/20*-2*2. Let t = 2 + 1. What is the smallest common multiple of t and 15/7 + 2/l?
6
Let m = -4423 - -53047/12. Suppose 7*x = 12*x + 10. Find the common denominator of x/2 + (1148/24)/7 and m.
12
Suppose 0*p = 5*p + 10. Calculate the common denominator of (-1)/(p/5)*1704/(-480) and -9/44.
88
Let w be (-3)/(-15)*(-1 - -10538). Let t = w + -2118. Calculate the common denominator of t and -26/5.
5
Let s = 2453/23751 - -12/203. Find the common denominator of s and -71/36.
468
Suppose 2*z + 25 = -3*z. Let i(w) = -w**3 - 3*w**2 + 5*w - 5. Calculate the least common multiple of i(z) and 12.
60
Let g(o) = -o**2 - 7*o - 3. Let b be g(-3). What is the least common multiple of 9 and 8/6*(108/8)/b?
18
Let n = 9057811977/154 + -58816732. Let q = n + -2572/11. Calculate the common denominator of 17/8 and q.
56
Let h = -7 + 9. Find the common denominator of h/(-9) + (-581)/18 and -34*-2*(-15)/(-72).
6
Calculate the common denominator of (1027/(-6084))/((-1)/3) and -13/32.
1248
Let v = -111703 - -43234. Let c = v - -890589/13. Let s = c - 759/52. Find the common denominator of -83/8 and s.
8
Suppose 3*m - 36 = -3*f, 0 = 4*m - 11 - 5. Suppose -4*v + 73 = 3*n, -5*n = -f*n - 2*v + 71. What is the least common multiple of 8 and n?
184
Let q = -2/3561 + -67571/156684. Calculate the common denominator of q and (0 - 1)/((-48)/(-99)).
176
Let i = 24 + -111. Find the common denominator of (i/12)/((-3)/(-18)) and (-21)/56 - (-440)/64.
2
Let l = 24 - 6. Suppose 0 = 4*x - 74 + 2. What is the lowest common multiple of l and x?
18
Let w(c) = -c**3 + 3*c**2 + 5*c - 1. Let x be w(4). Suppose i - 3*r + 1 = 0, x*i - 5*r = -i - 4. Calculate the least common multiple of 9/((-1)/4 - i) and 22.
132
Suppose 22 - 1 = 7*f. Calculate the common denominator of (-3)/(-6) - 4/22 and (-134)/f*(43/20 + -2).
110
Let q be ((-24)/(-30))/(2/10). Let i(h) = -h**3 + 4*h**2 + 6*h - 4. Let k = -10 - -16. What is the least common multiple of i(q) and k?
60
Let q(s) = 3*s**3 - 11*s**2 + 14*s - 78. Calculate the lowest common multiple of 24 and q(6).
1032
Let x(u) = 10*u**2 + u + 1. Let f = -2325 - -2341. Calculate the smallest common multiple of x(-1) and f.
80
Let u = 125 + -111. Calculate the least common multiple of 6 and (-5)/1 - (-322)/u.
18
Let u(n) = -n**3 + 4*n**2 + 5*n - 6. Let h be u(3). What is the lowest common multiple of 10 and (-1)/3 - (-2 + (-222)/h)?
70
Let s = 1059743 + -832948721/786. Let g = -4/131 - s. Calculate the common denominator of 13/18 and g.
18
Let g = -1392 + 23634/17. Calculate the common denominator of g and (-303)/105 - (-4)/(-10).
119
Calculate the common denominator of -151/72 and (-1)/5*2375/100.
72
Let z = 406 + 64. Find the common denominator of 0 - (z/36)/(-5) and -83/16.
144
Let h = -74 - -44. What is the lowest common multiple of 26 and (-13)/(-4) - h/40?
52
Let f(i) = i - 3. Let k be f(6). Suppose 5 = k*a + 4*c, 4*a - 5*a = 5*c + 2. What is the lowest common multiple of a and 16?
48
Let y = -6 + 22. Calculate the smallest common multiple of 1 and 12/(-36) + y/3.
5
Let g = -135 - -150. What is the smallest common multiple of 256/12 - (-5)/(-15) and g?
105
Suppose -4*b = -5*p - 97, -5*p - 9 = 16. Calculate the lowest common multiple of b and 9.
18
Calculate the smallest common multiple of 37 and (-46 + -4)/(-5)*(-3404)/(-115).
296
Let g = -959 + 995. Calculate the smallest common multiple of 80 and g.
720
Suppose -5*l + 5*w = -7*l + 43, w = -5*l + 119. Calculate the lowest common multiple of 116 and l.
696
Suppose 2*y - 147 = -d, 0 = 3*y + y + d - 291. Let q be (5567/2)/(40905/y). Let t = 1/1818 + q. Find the common denominator of 111/20 and t.
20
Calculate the lowest common multiple of 92 and 14/4*276/21.
92
Suppose -880 = -z - z. Let h be -1*(4 + (4 - z)). Calculate the lowest common multiple of h/45 - 2/(-5) and 9.
90
Let z = 2363/48 - 289/6. Find the common denominator of z and 27/56.
112
Suppose -2*t = -3*i - t - 58, 2*i = 5*t - 56. Calculate the common denominator of (991/180 - 3) + 4/i and -7/12.
60
Let n(t) = -t**3 - 11*t**2 - t - 3. What is the smallest common multiple of 518 and n(-11)?
2072
Suppose -5*n = -2*p + 21, 0 = 83*p - 78*p + 5*n - 35. What is the least common multiple of p and 10?
40
Find the common denominator of (-2212)/5712*2*-1 and 77/2.
102
Suppose 5*v - 4 = 16. Let o(c) = -c**2 - 7*c - 8. Let z = -92 + 88. Calculate the lowest common multiple of v and o(z).
4
What is the common denominator of 13/4 and (-2070)/(-3920) - (-6)/(-16)?
196
Let w(s) = -2*s + 1. Let m be w(3). Let n = 72942 - 72955. What is the common denominator of (1 - 4/1)*m and n?
1
Let b = -245/52 + -7/13. Calculate the common denominator of b and 103/46.
92
Suppose 0 = 169*a - 175*a + 30. Calculate the smallest common multiple of a and 30.
30
Suppose 631*m - 625*m = 198. What is the smallest common multiple of 9 and m?
99
Let a = 40423/12 + -3373. Let y be ((-34)/84)/(9/138). Let z = y - -5/18. Find the common denominator of a and z.
84
Let w be ((-66)/11)/(417/(-2)). Let t = w + -727/1112. What is the common denominator