Let h = -101829809732 + 5019191321444993/49290. Let k = 16/1643 + h. What is the common denominator of k and -43/3?
30
Let t = 3/9178 + 48553910/13767. Let c = 3514 - t. Calculate the common denominator of c and 131/144.
144
Suppose u + 3*u = 52. Suppose 3*g - 2*b - u = 11, -4*b = g - 22. Suppose -s + 6 = -18. Calculate the least common multiple of s and g.
120
Let p = 330205/32 + -10320. Calculate the common denominator of p and -19/192.
192
Let g(p) = -5*p. Calculate the lowest common multiple of 20 and g(-4).
20
Suppose -4*a + 2*q + q = -71, 2*q + 24 = a. Let i be a/26*(-30)/(-455). Let m = 3573/676 - i. What is the common denominator of m and -71/18?
36
Suppose 450 = -7*g + 13*g. Suppose 0 = 5*m - 45 - g. Calculate the smallest common multiple of m and 6.
24
Let q(j) = 9*j**2 + j + 1. Suppose -3*i = -5*u + 18, -4 + 0 = i - u. Let p(h) = h**2 + 2*h + 3. What is the least common multiple of q(i) and p(-4)?
99
Let w = 7077 - 85055/12. Let s = 13/446 + -8618/1115. What is the common denominator of w and s?
60
Let f = -629 - -639. What is the smallest common multiple of 252 and f?
1260
Suppose -3*a + b = 2*a + 39, 37 = -3*a + 4*b. Let m = a + 7. Suppose 0*p - 2*p + 36 = m. What is the lowest common multiple of p and 28?
252
Suppose 2*t - 3 = -3. Suppose t*z - 30 = -5*z. What is the lowest common multiple of 12 and z?
12
Suppose 0 = n + 3 + 1, 3*y = -5*n - 23. Let u = 307013/29810 + 3/2981. What is the common denominator of (-63)/(-2)*y/10 and u?
20
Let f(n) = -n - 3. Suppose 0 = -3*l - 0 + 12. Calculate the lowest common multiple of (-2)/l + (-12)/(-8) and f(-4).
1
Let h(q) = -8*q**2 + 3*q - 22. Let o(j) = 3*j**2 - j + 7. Let c(n) = -4*h(n) - 11*o(n). Calculate the lowest common multiple of c(0) and 11.
11
Let x = 8106 + -1353696/167. Let y = 10/1610651 + 7281749831/537957434. Let r = y - x. Find the common denominator of r and 23/4.
4
Let g be ((-726)/6)/(10/(-18)). Let j = -215 + g. Find the common denominator of j and 272/(-20)*(-42)/(-48).
10
Let v = 11393 + -376010/33. What is the common denominator of v and (-68)/(-3) - (-2)/2?
33
Let d = -402268/55 - -7315. Find the common denominator of -41/77 and d.
385
Calculate the common denominator of (-3)/(-2) - (-265)/1166 and -109/14.
154
Let f = 21 + -17. Suppose -8 + 0 = -f*k. Calculate the least common multiple of 6 and k.
6
Let v(l) = 2*l + 33. Let w be v(-14). Let p = 7 + w. Calculate the lowest common multiple of p and 33.
132
Let o be ((-1)/(-3))/(10/150). Let f = o - 4. What is the least common multiple of f and (0 - -4*1/(-4))*-11?
11
Find the common denominator of -29/27 and 40352/2664 + -11 + -4.
999
Suppose 2*v - 5 = 1. Suppose 4*u - 42 = -3*d, -2*u - 2*d + 3*d = -16. What is the smallest common multiple of v and u?
9
Let x be (-254)/(-7) + 4/(-14). Let k = -1875 + 26225/14. What is the common denominator of k and (0 + -75)*(-10)/x?
42
Let l = -5050107/14860 - 16/3715. Let r = l + 1347/4. Let w = 2/35 - 681/280. What is the common denominator of r and w?
40
Let f = 12 - 16. Let b be f/(16/4) - -2201. Find the common denominator of 47/6 and (-4)/22 + (-2570)/b.
60
Let v = 4837940983/350 + -13822648. Let a = -4/175 + v. Let c = -18415/1388 - -6/347. Calculate the common denominator of a and c.
4
Suppose 4*w - 495 = 3*t, 365 = 3*w - 3*t - 4. Suppose 0 = 3*x + 4*q + w, -2*q - 2*q = 0. Let s = -137/3 - x. What is the common denominator of -52/3 and s?
3
Let y = -3/133238 - 1590128899/532952. Let t = y - -2973. Find the common denominator of -89/126 and t.
504
Let a(y) = y + 8. Let h be a(0). Let f = h - 12. What is the smallest common multiple of (f/(-3))/((-1)/(-15)) and 22?
220
Let y = 1/4415 + -198688/57395. Calculate the common denominator of y and -89/16.
208
Suppose 5*y - 8*y = -6. Suppose 3*p - 3*j = 429, 0*p - 4*j - 284 = -y*p. What is the common denominator of 2/(-7) + p/(-28) and -18/11?
77
Let c(k) = 2*k**2 + 4*k**2 - 7*k - 3*k**2 - k**2 - 1. Let v be c(5). Let f = 26 - v. Calculate the least common multiple of 8 and f.
24
Let u = 13 - 29. Let q be (-21954)/(-3080) - (-12)/u. Let t = q + 71/77. What is the common denominator of t and 3/34?
170
Let r(u) = -8*u - 4. Let y = -155 + 171. Calculate the smallest common multiple of r(-9) and y.
272
Let g(l) = l**2 + 3*l - 7. Calculate the smallest common multiple of g(5) and 2 + ((-280)/8)/(-5).
99
Let q be 115/8 - (-3)/(-8). Suppose 4*v + q - 78 = 0. Let c(m) = -5*m - 2. Calculate the least common multiple of c(-4) and v.
144
What is the lowest common multiple of 542 and 8/(-52) + (-2832)/(-156)?
4878
What is the common denominator of 0 + 2 + 1 + (-710)/320 and -137/48?
96
Suppose o + 5*o - 2*o = 0. Let l(r) = 2*r + 18. What is the lowest common multiple of l(o) and 6?
18
Let p(y) = 3*y**3 + 4*y**2 + y - 4. Let k(b) = -4*b**2 + 7*b + 7. Let d be k(-6). What is the common denominator of p(-2) and d/30 + 3/(-9)?
10
Let x(l) be the second derivative of l**4/12 - l**3 + 9*l**2 - 13*l. Calculate the smallest common multiple of x(8) and 22.
374
Let j = 29 + -29. Suppose j = 2*v + 3*v - 70. Suppose 0 = 2*m + 16 - 60. What is the least common multiple of m and v?
154
Let u = 340 + -11903/35. Calculate the common denominator of u and -47/40.
280
Let m = -88109/20 - -8799/2. What is the common denominator of m and ((-3)/(-48))/(-3 + 268/90)?
80
Calculate the common denominator of 3/5 and -3 + ((-6)/(-12))/((-106)/(-600)).
265
Let p(g) = -42*g - 128. Find the common denominator of p(-2) and -11/49.
49
Suppose 8*k - 3*k - 15 = 0. Suppose 2 = -k*i + 2*y - 1, 0 = 4*i - 4*y + 8. Let b = -36 + 47. What is the lowest common multiple of b and i?
11
Let n = 1040 - 4173/4. What is the common denominator of -63/34 and n?
68
Suppose -2*w - 3*w + 40 = 0. Suppose -45 = -6*q + 27. Calculate the least common multiple of q and w.
24
Let g = -79 - -159. Suppose -y - q - 3*q + 34 = 0, -2*y = -4*q - g. Find the common denominator of y/10 - (-8)/16 and 71/6.
30
Find the common denominator of 2/3 + (-412)/96 and 21/22.
88
Let g = 706 + -686. What is the least common multiple of g and 348?
1740
What is the lowest common multiple of 323 and 242/847 - 66/(-14)?
1615
Let b = 0 - -3. Calculate the smallest common multiple of b and -2 - -1 - (-5 - 0) - -2.
6
Suppose 0 = 2*h + w + 17, -43 = 3*h + 5*w - 0*w. Calculate the common denominator of (-13)/h*(-18)/66 and -21/32.
352
Let k = -60 + 55. Calculate the common denominator of 51/7 and 9/(-36)*(-28)/k + 3.
35
Let m(a) = -11*a - 92. Let j be m(-23). Let v = j - 139. What is the smallest common multiple of v and 26?
286
Suppose -c - 5 = -7. Suppose c*o - 5*s = -0*o + 17, -2*s = 2*o + 4. Calculate the lowest common multiple of 2 and o.
2
What is the least common multiple of (-2)/4 + (-1755)/(-54) and 8?
32
Let o(g) = 6*g + 14. What is the smallest common multiple of 47 and o(-1)?
376
Let y be ((-4)/(-6))/((-9)/(-27)). Let q be 0/y + 2 - 5. Calculate the lowest common multiple of (3 + q)/(-3) - -4 and 11.
44
Let o(a) = 2*a**3 - 77*a**2 + 37*a + 44. Calculate the least common multiple of o(38) and 48.
48
Let z(i) = -47*i + 166. Calculate the smallest common multiple of 12 and z(-14).
2472
Let r = -251 - -1279/5. What is the common denominator of r and (1440/(-1620))/((-2)/39)?
15
Calculate the common denominator of (1202/264 - 4)/(6/18) and 33/124.
1364
Let u = -5525956475247/547089557048 - -51/92538829. Let c = 18/739 - u. What is the common denominator of 65/2 and c?
8
Suppose -k - 3*k - 3*j = 1353, k - j + 333 = 0. Calculate the common denominator of (-1682)/k + (-6)/(-21) and -119/20.
120
Let f = 2517187/2425764 + 7/36754. Find the common denominator of f and 95/154.
924
Suppose -60*t = -165*t + 210. What is the smallest common multiple of t and (5*-1)/(2/(-22))?
110
Let q be (-1)/((-26)/9 + 3). Let n = q + 9. Suppose n = -2*r - o + 6, o = 4*r - 3*r. What is the lowest common multiple of 6 and r?
6
Let c = 8 + 4. Let l = 20 - c. Calculate the least common multiple of (-3 - -2)*(-35 - -34) and l.
8
Let f = 101 + -71. What is the common denominator of 20/f - (-389)/(-30) and -101/12?
60
Let o(p) = p**3 + 12*p + 17*p + 6*p**2 - 25*p - 2. Let g be o(-5). Let f(a) = a**3 - 2*a**2 - 2. Calculate the least common multiple of f(g) and 2.
14
What is the common denominator of ((-2)/(-50))/((-3)/(-159)*1) and 37/40?
200
Let h =