/9.
225
Find the common denominator of 31/168 and ((-319)/110)/((-5)/((-225)/12)).
168
Let f = -9 - -18. Let g(p) = p**2 - 114*p + 1331. Calculate the smallest common multiple of g(101) and f.
18
Calculate the common denominator of -53/4 and 7/70*-10 - -377*3/720.
240
Let n = -8887 + 8893. Calculate the lowest common multiple of n and 10336.
31008
Let d be (-36 + 30)*(-2)/4. Suppose 0 = d*v + 166 - 190. What is the least common multiple of v and 2?
8
Suppose 34*u - 18140 - 25890 = 0. Calculate the least common multiple of u and 2849.
14245
Suppose -4*z = 2291 + 37. Find the common denominator of z/(-360) + -3 - -4 and 31/18.
180
Suppose -23 + 39 = -8*y. Calculate the least common multiple of -2 - -114 - y - (-22 - -22) and 6.
114
Let j = 3697013/169 + -21876. Let r(y) = 11*y**2 - y + 1. Let k be r(1). What is the common denominator of (-36)/k - 1 - -2 and j?
1859
Let a = 411874312025/2418 + -2213659258/13. Let l = a + -55290. What is the common denominator of l and 91/12?
372
Let v = -21 - 38. Let x be -1*(7 - 2) + v. What is the common denominator of 2/(x/(-34))*6 and -95/22?
88
What is the common denominator of (-51)/(-15) - 61617/15390 and 173/1500?
13500
Let z(f) = 114*f - 2580. What is the least common multiple of z(34) and 864?
2592
What is the common denominator of 2/14*4578/(-132) and 74/(-104) - (0 - 0)?
572
Let l(y) = -y**3 - 24*y**2 - 138*y - 22. Calculate the smallest common multiple of 12 and l(-16).
276
Let a = -1910 - -1933. Calculate the smallest common multiple of 170 and a.
3910
Let n be (-77885)/(-6) - 39/(-234). Let a = n + -1544701/119. Calculate the common denominator of -64/63 and a.
1071
Let h = 1/31827 + 1654889/3660105. What is the common denominator of -47/45 and h?
1035
Suppose -4 = -7*z + 38. Let m be (-104)/18 + z/(-27). Calculate the smallest common multiple of 22*(-2)/m*12/8 and 9.
99
What is the common denominator of -117/740 and ((-4)/(-10))/((-84952)/(-8405))?
5180
Let k = -5104 - -56085/11. Let y = -628/625 + -187729/82500. Let u = y - k. What is the common denominator of 26/3 and u?
12
Let d = 68 - 48. Suppose 4*i = a + 10, 3*i - 2*i = 4*a + 40. Calculate the lowest common multiple of ((-2)/(-10))/((-1)/a) and d.
20
Suppose 0 = 2*l + 5*j - j - 70, 5*j + 10 = 0. Let c = 42543 - 42519. Calculate the least common multiple of l and c.
312
Let x be 8/(-3)*(-3)/2. Suppose x*u + 445 = 9*u. Suppose 5*k - u = 21. Calculate the smallest common multiple of k and 18.
198
Suppose -3*s = -5*p + 8*p + 90, -4*p - 102 = -2*s. Let r = -4/1787 - -51919/42888. Find the common denominator of r and 6/p - 121/(-396).
24
Suppose -61*b - 176 = -8*b - 1607. Calculate the lowest common multiple of 1359 and b.
4077
Let p = 6341/2 - 3183. Let q(c) = -c**3 - 2*c**2 - c - 2. Let v be q(-3). What is the common denominator of (-56)/20*v/(-2) and p?
2
Let a = -22/155 + 4756/5115. Find the common denominator of (-1 - -2) + 363/(-126) and a.
462
Suppose -5*m = -2*p + 134, -5*p + 155 + 123 = -3*m. What is the smallest common multiple of 2 and p?
52
Suppose -4*s + 121 = 7*s. Suppose 41 = -5*j + s. Calculate the smallest common multiple of (4/((-16)/(-142)))/((-3)/j) and 11.
781
Let n = -37/65 - -10/13. Suppose 4*h - b = -h + 32238, 4*h - 25802 = -5*b. Let t = 58093/9 - h. Find the common denominator of n and t.
45
Let y = 360679/24 - 15031. What is the common denominator of y and 56/3315?
26520
Let w = 8882993/1788510 + -2/59617. Let i(r) = 193*r**3 - 3*r**2 + 6*r. Let y be i(4). Let s = y + -184993/15. Find the common denominator of w and s.
30
Let a = -729 + 739. Calculate the common denominator of 65/3 - 6/(-3) and (1 - 155/(-3))*(-1)/a.
15
Suppose -79*d + 1905 = -1255. Let k be (-9)/(-6) - (-51)/(-6). Calculate the lowest common multiple of (k + 1)*50/(-15) and d.
40
What is the smallest common multiple of (-144)/256*4*16/(-6) and 984?
984
Let j be 1 - (-3)/3 - -2. Find the common denominator of 23 + (j/2)/1 and 195/(-30) + -10 + -3 + 7 + 3.
2
Let x = 15 + 3. Suppose o - s = -3*s, -o = -4*s + 30. Let r(g) = -2*g - 11. Calculate the lowest common multiple of x and r(o).
18
Suppose 2*a - 598 = 302. Calculate the least common multiple of a and 14.
3150
Let d = 2/9541 - 925549/343476. What is the common denominator of 5/666 and d?
1332
Let d = 6271/4 - 1558. Let c = 1688/265 - 9/53. Calculate the common denominator of d and c.
20
Let v be (6/(-5))/((-8)/80). Suppose 0 = -a - f + v, 0 = -4*a + 5*f + 32 + 16. Calculate the lowest common multiple of 8 and -2*3/(a/(-8)).
8
Let m = -5463893/3 - -1586153. Let q = m - -232969. Let y = q + 8745/4. Calculate the common denominator of y and -19/18.
36
Suppose -2950 + 2146 = -134*j. Let o(t) = 3*t - 1 + 3 - 5*t. What is the lowest common multiple of o(-6) and j?
42
Let s(d) = -d**3 + 3*d**2 + 9*d - 19. Let y = 59 - 42. Calculate the least common multiple of y and s(2).
51
Let b = -901 + 5365/6. Let u be -87 + 6/2*-1. Calculate the common denominator of b and (-87)/u - (5 - 1).
30
Let l be (4 - 1) + 1 - -7. What is the common denominator of 44/l + 130/36 and 15/(-2)*(-170)/(-240)?
144
Let s(o) = o**3 + 4*o**2 - 4*o + 9. Let b = 1636 + -1596. Calculate the least common multiple of b and s(-5).
40
Let c = 26773/130 + -1028/5. Let t be (-779152)/(-384) + (-1)/(6/1). Let a = 2018 - t. What is the common denominator of c and a?
104
Let p = 32/33 + -95/132. Suppose -3*w = -3*v - 9, -4*w - 5*v + 0 = -3. Find the common denominator of p and (-73)/(-8)*1 + w.
8
Suppose -9 = y + n, -12*y - 3*n = -11*y + 19. What is the common denominator of 37/79 and (y/40)/((-24)/(-2430))?
632
Let o = -131 - -135. What is the common denominator of 2/o*-46*(-3)/20 and (-1)/(-3)*279/30?
20
Suppose 15152 = -59*i + 43*i. Suppose 0*j + 40 = 5*r + 2*j, j - 40 = -5*r. Calculate the common denominator of i/494 - r/(-52) and -5/16.
304
Suppose s = 4*p - 4, -5*p + 7 - 2 = -3*s. Let f be -9 + p - (-11 - -9). Calculate the least common multiple of 10 and 0 + 1 - (f + 1).
30
Let v = -1103745 - -1245024271/1128. Calculate the common denominator of -23/2068 and v.
12408
Let k = -8807569/302 - -29164. Find the common denominator of k and 2652/(-306)*30/8 - -3.
302
Suppose -88 - 52 = -5*c. Let l(h) = 21*h**2 + 52*h + 11. What is the smallest common multiple of l(-3) and c?
308
Suppose 78*q = 66*q - 86*q + 882. Let m = 13 - 9. What is the lowest common multiple of (42 - 0)*2/m and q?
63
Let w = 842250362/1797 - 468698. Calculate the common denominator of w and 14/27.
16173
Let x = -128 - -59. Let u(t) = -3*t + 60. Let l be u(45). Let h = x - l. Calculate the least common multiple of h and 1.
6
Let g(u) = -5*u - 30. Let q be g(-7). Suppose -2*i = -3*w + 2, -3*w + 7*w = -q*i + 18. Calculate the lowest common multiple of i and ((-3)/(-4))/(15/8)*45.
18
Calculate the common denominator of (((-220)/(-75) + -5)/1)/((-8)/(-18)) and 113/3770.
7540
Suppose -1 - 3 = 2*f + v, -4*f + v + 4 = 0. Suppose y - 30 = -3*r + 5*r, f = 2*y - r - 60. Calculate the least common multiple of 16 and y.
240
Suppose 206*o - 594 = 197*o. Suppose 3*h + 3*l - 29 = 4, l - 5 = 0. Calculate the lowest common multiple of o and h.
66
Let w = 243 + -247. Calculate the common denominator of -25/2 and (3 - (-652)/(-214)) + (w - -4).
214
What is the common denominator of -74/9 and -3 + (-4)/(-10) + (65576/(-6365))/(-4)?
11457
Let a = 10830/25141 - -2595521633/7843992. Let l = a - 4272/13. What is the common denominator of l and -33/8?
24
Suppose -3*h + 3 = 0, 4*h = 3*k + 8*h - 75274. Let x = 1279520/51 - k. Calculate the common denominator of x and -53/51.
51
Suppose 0 = q - 5*x - 56, x = 3*q - 0*x - 196. Suppose -22*k + 27*k = 65. Suppose k*m = 4*m + 108. Calculate the lowest common multiple of m and q.
132
Let a be ((-4 - 39/(-6)) + -2)*26. Let y(z) = -7*z - 37. Let i(j) = -14*j - 73. Let q(w) = a*y(w) - 6*i(w). What is the least common multiple of q(-11) and 12?
204
Let w(t) = 27*t**2 + 3*t - 2. Let f be (60/(-14) - -4)/((-1)/7). Let z be w(f). Find the common denominator of 111/22 and 6/z*102 + (-1)/4.
154
Suppose 74 = 2*m - 4*l, -20*m + 2*l + 107 = -17*m. Calculate the common denominator of 23*(4/(-190))/(42/m) and -151/18.
342
Suppose 1 = -y, -4*y + 5 + 9 = -2*r. Let h = -4 + 8. Calculate the smallest common multiple of h and (7 - -16) + 1/(3/r).
20
Suppose 1600 - 336 = 43*a - 