78/77 - u. Calculate the common denominator of r and l.
220
Suppose 373*n - 116550 = 366*n. Calculate the common denominator of (-6)/(-14) + (n/1701)/10 and -45/4.
108
Let n be ((-96)/8)/2448*-134. Let w = -744462/215 - -608572117/175440. Let c = w - n. Calculate the common denominator of 55/8 and c.
16
Let k = -44 + 42. Let y be 143/k + 3*(-1)/(-6). What is the common denominator of -49/24 and y/4 - (1 - (-1 + 3))?
24
Find the common denominator of 25/1296 and (438/(-30))/(-5 + 438/90*3).
1296
Let j(l) = -3*l**3 - 30*l**2 + 3*l + 38. Calculate the least common multiple of 1998 and j(-10).
7992
Suppose 0 = -14*g + 19*g - 3*a - 65, -5*g = 3*a - 65. Find the common denominator of g/(-7)*1750/(-300) and -77/24.
24
Let o = 36 + -34. Suppose 635 + 293 = o*p. Find the common denominator of (p/(-40))/(8/15) and -61/26.
52
Let v = -71 + 3. Let s = 150 + v. Let u = 85 - s. What is the lowest common multiple of u and 27?
27
Suppose n - p - 81 = 0, -n + 24 = 2*p - 42. Calculate the common denominator of n/6 - 8/12 and (-4)/12*96/64.
2
Suppose 0 = 204*w - 70*w - 6164. What is the lowest common multiple of 9 and w?
414
Let r = 86473939/276 + -313311. Calculate the common denominator of r and 34/15.
1380
Calculate the common denominator of -91/198 and (((-13)/1248)/(-1))/(22/(-130)).
3168
Suppose -3*a = 3*k - 2160, 4*k - 2868 = 19*a - 21*a. What is the least common multiple of k and 126?
2142
Let c = 4563 + -4413. Calculate the least common multiple of c and 7.
1050
Let o = -771 + 7703/10. Calculate the common denominator of o and (-3)/(-1*2190/(-280)).
730
What is the common denominator of 107/242 and ((-7154)/100375)/((-32)/10)?
24200
Let x = -1818 + 577. Let h = -13642/11 - x. Find the common denominator of (20/(-8))/(3/24*11) and h.
11
Let w = 5208 - 4533. What is the lowest common multiple of 5 and w?
675
Let m = -36 + 57. Suppose -13*b - m = -20*b. Suppose -5*r - 2*a + 456 = a, 3*a + 264 = b*r. Calculate the smallest common multiple of 18 and r.
90
Let s = 57145958/442057 - 4/40187. Let y = s - 24661/198. Find the common denominator of y and -65/24.
72
What is the least common multiple of 0 + 124 + (-6 - (2 + 0)) and 6?
348
Let a = 20823 + -20811. Calculate the smallest common multiple of 12312 and a.
12312
Suppose -4*g = -6*g + 6. Let p = -6 - g. Calculate the common denominator of -43/11 and ((-1)/p)/(1/38).
99
Let m = -7388 - -8420. What is the smallest common multiple of m and 40?
5160
Let i = 28743468049/55 - 522572633. Let f = i + -35878. Find the common denominator of f and 31/20.
220
Calculate the common denominator of (-3840)/8320 + (-42670)/(-89804) and -37/220.
34540
Suppose 0 = -110*w + 108*w - 5*r + 145, -4*w + 3*r = -355. What is the least common multiple of 7 and w?
595
Let x(c) = 2*c**2 + 181*c + 1978. What is the smallest common multiple of 6 and x(84)?
93882
Let h be 5*19*20/50. Suppose 5*m + 26 = -2*k - 30, -4*m - 5*k = h. What is the common denominator of 6/2 + ((-4)/2)/m and -97/10?
30
Let q be (-3 - (-24)/10)/((-48)/160). Suppose -8*p + 6*p = -2*k + 74, 2*k + q*p = 70. What is the lowest common multiple of k and 11?
396
Suppose 8 = -2*v + 4*i, -2 = -4*v - v - i. Suppose -5*g = -v*g - 5, c = -3*g + 15. Calculate the least common multiple of 12 and c.
12
Let a = -10 + 9. Calculate the common denominator of -2*((-119)/12)/a and (-709)/200 + ((-20)/(-250))/(-1).
24
Suppose -5*z + 12 = -3. Find the common denominator of 7102/16080 + (-8)/20 + 0 and 1 - z - (-245)/(-120).
24
Let w(y) = -47*y + 1082. What is the lowest common multiple of w(16) and 870?
9570
Let w = -185978 + 485960504/2613. Find the common denominator of -47/78 and w.
5226
Let q = -559597/30 - -18651. Let f(m) = -2*m**2 + 39*m - 319. Let l be f(11). What is the common denominator of l/9 + -8 - -5 and q?
30
Suppose -3*p + 301 = -5*w, -77*w = -3*p - 80*w + 309. Calculate the lowest common multiple of p and 527.
3162
Suppose -j = -2*g + 2814, -385*g + 383*g - 3*j + 2838 = 0. Calculate the least common multiple of 1692 and g.
8460
Let t(w) = -7*w**2 - 2*w - 3. Let l be t(3). Let z = -16 + 20. What is the least common multiple of 2 and z*(l/(-39) + 10/65)?
8
Let o = 2060/39 + 76/13. Let s = 56 - o. Let y = 2535 + -27941/11. Calculate the common denominator of y and s.
33
Suppose 105 = 5*f + 5*m, -f - 4*m + 0 + 6 = 0. Find the common denominator of (-6)/4*19/33 and (-2 - (-136)/6) + 13/f.
66
Suppose -11*s + 236 = 720. Let l = 50 + s. What is the common denominator of 50/21 and l/(-15) + 1527/180?
84
Let f = -22 - -16. Let l be (-6 - f)*(-1)/2. Calculate the common denominator of -93/22 and -412*7/(-504)*(3 - l).
66
Let u = -11 + 18. Let d(v) = 6*v**2 - v + 4. Suppose -202 = 5*r - 212. What is the lowest common multiple of u and d(r)?
182
Let o be (-12)/(-7)*(-22 - -10 - -19). Suppose 5 = -o*c + 389. Calculate the lowest common multiple of 16 and c.
32
Suppose -3*f + 1858 = 5*o - 6*f, -2*o + 768 = 5*f. Suppose -c - o = 10*c. Let j = 55 + c. Calculate the least common multiple of j and 33.
231
Suppose -36*o + 10308 + 2172 = 44*o. Calculate the lowest common multiple of o and 264.
3432
Let b = -720/91 - -60163/12285. Let q = b + 19723/9990. Calculate the common denominator of q and 137/6.
222
Let o(b) = -12*b - 14. Let q(z) = -9*z**3 - z**2 + 4*z - 2. Let r be q(1). Let g be o(r). Calculate the common denominator of (2 - g/14) + 0 and -13/3.
21
Suppose 0 = -201*h + 241 + 1568. Let t be 10/5 - (-4)/(-2). Suppose t = 4*a - 27 - 9. Calculate the smallest common multiple of a and h.
9
Suppose -g - g + 14 = 0. Let o(w) = w**3 + 8*w**2 - 2*w. What is the lowest common multiple of o(-8) and g?
112
Suppose 5*z = z + 4*h + 68, -2*h = -4*z + 66. Calculate the common denominator of -167/42 and z/(-2 - 6) - 139/(-18).
126
Let v(a) = 3*a + 19. Let u(t) = -3*t - 19. Let m(g) = 3*u(g) + 4*v(g). Let p be m(-7). Find the common denominator of (-3)/(-60) - p - 0 and 95/64.
320
Suppose -4*r - 5*o = 151739, -3*o = -0*r - 2*r - 75897. Let w be (-2)/(-6)*r/9*1. Let x = w + 1412. Calculate the common denominator of x and 56/9.
9
Suppose 2*b + 3*g = 2*g + 64533, -4*g - 32244 = -b. Let w = b + -2452029/76. Calculate the common denominator of 83/16 and w.
304
Suppose 21*z - 6*z = 4725. Find the common denominator of 18/(-9) - (z/(-48))/3 and 29/12.
48
Suppose -m + 4 = 2. Let j be 6/(-12) + 3 + (-9)/m. What is the least common multiple of (19/57)/(j/(-36)) and 14?
42
Suppose 2*b + 10 = 20, m + 3*b = 30. Calculate the least common multiple of (12 + -4)*7/(140/m) and 44.
132
What is the common denominator of 6*((33 - 28) + (-1063)/220) and 18/5?
110
Suppose -32*h - 694 = 3626. Let b = h - -142. What is the lowest common multiple of 63 and b?
63
Suppose -295*b + 104*b = -275817 - 38760. Calculate the lowest common multiple of b and 15.
8235
Let y = 261 - 193. Suppose y = 4*g + 44. Calculate the smallest common multiple of g and 4*2/2 + -2.
6
Let l(x) = 98*x**2 + 6*x - 8. Let r be l(2). Suppose 21*f = -f + r. What is the smallest common multiple of 14 and f?
126
Suppose 2*b = -2*x - 94, -169 = 5*b - 2*x + 45. Suppose 5*v = 58 + 37. Calculate the smallest common multiple of (3 - b/(-16)) + 14/8 and v.
38
Suppose 4*w - 2*l + 106 = -60, 3*w + 141 = -4*l. Let z = -47831/8460 + 8/2115. What is the common denominator of w/(-52)*(4 + -2) and z?
260
Let t(m) = 0*m + m - 2*m + 19 + 11. Calculate the smallest common multiple of 12 and t(2).
84
Let h(i) = 3*i - 1. Let j(q) = -q - 1. Let v be j(-3). Suppose -3 = -3*z + 30. What is the least common multiple of h(v) and z?
55
Let t = 103090 - 103088. Suppose -w = -30 - 370. Calculate the least common multiple of t and w.
400
Let u be 63006/8*72/183843. Let s = 78964/41473 + -128/67. Let m = u - s. Find the common denominator of 13/50 and m.
550
Let x(y) = y - 4. Let z = 90 - 77. What is the smallest common multiple of 27 and x(z)?
27
Suppose 184 + 672 = -4*v + 4*b, -4*v - 2*b - 862 = 0. Let f = v + 262. What is the smallest common multiple of f and 9?
423
Suppose 2767 = -7*h - 1902. Let i = h - -3973/6. Let p = 863/185 + 5/37. Find the common denominator of p and i.
30
Let z(c) = c**2 + 17*c - 1561. What is the lowest common multiple of z(-49) and 37?
259
Let p(a) = 15*a**2 + 31*a + 66. Calculate the smallest common multiple of 1260 and p(-6).
1260
Let x be (6/(-15))/