879. Find the common denominator of 57/512 and w.
5632
Suppose -2266*b + 2265*b = -2. What is the least common multiple of 88 and b?
88
Suppose 13*l + 240 = -735. Calculate the common denominator of (l/(-35) + -2)*14/36 and (-1725)/10*(-2 - (-71)/36).
72
What is the smallest common multiple of (-148248)/(-1566)*(-69)/(-2) and 16?
26128
Suppose 3*j + 4*o = 5, -2*j + 7*o = 2*o - 34. Let b be (-11)/(-2) + (-10)/(-20). What is the smallest common multiple of j and (2 + -11 + 13)/(3/b)?
56
Let p = 948977/30 + -31627. Calculate the common denominator of (-26)/(-1950)*-70*((-510)/16)/3 and p.
60
Let d be (-6 + 8 - 3) + (-10)/(-1). Let j = d + -7. Suppose -4*u + 92 = 3*o, -u + j*o = 4*u - 138. What is the lowest common multiple of u and 8?
104
Suppose 4*u + 4*k + 16 = 0, u - 37*k + 39*k = -10. Calculate the lowest common multiple of u and 914.
914
Suppose -2*j + n - 2 = 0, j + 1 = 3*n + 5. Find the common denominator of 149/6 and (j*(-2)/(-88))/(1/(-26)).
66
Let k = 50/33 - 1193/330. Let a = 715778 + -6435359/9. Let u = a - 743. Calculate the common denominator of u and k.
90
Suppose -2*x - 190 = -n, 2*n - x = 151 + 220. Let l = n - 159. Calculate the least common multiple of 90 and l.
450
Let g(j) = j**3 + 16*j**2 - 18*j + 49. Let q be g(-17). Calculate the common denominator of 2/9*30/(-2) and 605/q - (-2 - -1).
6
What is the common denominator of ((40 - 25)/510)/(52/22) and -37/3264?
42432
Suppose -3*h + 12 = -3. Suppose h*y = 2*y + 27. Suppose 9*m - 1358 = 2*m. Calculate the least common multiple of m and y.
1746
Let b(x) = x**3 - 2*x - 2. Let d be b(2). Let r be ((-4)/(-2))/(d - 1/(-24)). Let j = r - 419/49. Calculate the common denominator of j and -101/10.
70
Calculate the common denominator of (-4)/(-10)*-2 + (18 - (-168039)/(-9720)) and 115/12.
216
Find the common denominator of -87/28 and 73*(66/(-160) - 2/(-5)).
560
Let h = 2198 - 458. What is the smallest common multiple of 18 and h?
5220
Find the common denominator of -95/396 and -1 - (-3 + 10) - (-6966)/344.
396
Suppose 80 = x + x. Let h = 2367 + -2355. What is the lowest common multiple of h and x?
120
Let i = 23/4 + 3/2. What is the common denominator of i and (4*10/120)/(22/240)?
44
Let r(s) = -4*s**2 - s**2 - 121 + 4*s**2. Let t be r(0). What is the smallest common multiple of (8 + (-2)/1)*t/(-33) and 26?
286
Find the common denominator of (-22)/143 + (-7 - 1381800/(-193362)) and -49/4.
9916
Let b = -49935/10813 + -18/983. What is the common denominator of b and 53/335?
3685
Suppose 2*p - 4*r - r + 2057 = 0, -2048 = 2*p + 4*r. Find the common denominator of (-10)/(-3)*312/(-540) and (-5)/150*(p/4 + -1).
108
Suppose 59 = -7*k + 110 + 89. What is the least common multiple of k and 5?
20
Find the common denominator of 15/742 and 4/10 + 17208/2880.
2968
Suppose -5*n + 60 = c, 3*n - 2*c - 17 - 6 = 0. Let j = -10 + 36. Calculate the smallest common multiple of n and j.
286
Suppose -3*a = 3*z + 49014, -7*z - 2*a - 49012 = -4*z. Let f = z + 833206/51. What is the common denominator of 49/30 and f?
510
What is the common denominator of 266/114 + 346/(-36) - -7 and (4/(-90))/((-1)/138)?
90
Suppose -4*o - 2 + 22 = -4*c, -4*o - 4*c + 52 = 0. Calculate the lowest common multiple of 396/42 - o/21 and 33.
99
Let j(p) = 7542*p**3 - 3*p**2 - 7. Let r be j(3). Suppose -r + 56720 = 10*f. Let t = -293853/20 - f. Calculate the common denominator of 67/20 and t.
20
What is the common denominator of 23/476 and (892/(-210) - 0) + (-36)/234*-26?
7140
Let y = 75573/12620 + 102/631. What is the common denominator of -57/2780 and y?
2780
Suppose 9*k - 13*k + 212 = 0. Let j = k + -23. Calculate the smallest common multiple of 6 and j.
30
Suppose 17*y + 2716 = 5*w + 16*y, -4*w - 2*y + 2170 = 0. Calculate the least common multiple of w and 9.
1629
What is the common denominator of -28/135 and 12 + 448937/(-34776) + (-8)/(-14)?
1080
Let o = -5216 - -5252. What is the lowest common multiple of o and 736?
6624
Let b = -2231963/78507 - -1734/61. Calculate the common denominator of 21/130 and b.
12870
Let u = 6/6581 - 210610/19743. What is the common denominator of 73/678 and u?
678
What is the least common multiple of (-78)/6 + 23 - -4 and 914?
6398
Let o be 16912/2280*(-9)/12. Let q = o - 14/19. Find the common denominator of 46/11 and q.
110
Suppose 0 = 4*t + 117 - 1. Let z = t + 32. Suppose 7*u - 32 = z*u. Calculate the least common multiple of u and 26.
104
Suppose 3*x + 0*x = 42. Let r = -234 - -246. What is the lowest common multiple of (1 - 2/1) + r + -3 and x?
56
Let m = 56179/1528 - 4611/191. What is the common denominator of -1 + ((-114)/(-4) - 0) and m?
8
Let r(z) = z**2 + 9*z - 7. Let b be r(-7). Calculate the smallest common multiple of -10 + 1 + (-238)/(238/(-14)) and 6/(-4)*98/b.
35
Let w = 2695355/1558704 + -2/32473. Let k = -53/52 + -2257/260. Calculate the common denominator of k and w.
240
Let w(l) = 3*l**3 + 9*l**2 + 7*l - 3. Let f be w(-5). Let t = 290 + f. Calculate the common denominator of (t/8)/((-297)/154) and 93/16.
144
Suppose -12*t - 5*y = -10*t - 286, 141 = t + 3*y. Suppose 149*n - t*n + 8 = 0. Calculate the lowest common multiple of 64 and n.
64
Suppose -2*t = -4*d - 270, -5 = -4*d - 25. Calculate the smallest common multiple of t and 50/(-4)*((-204)/(-17) - 14).
125
Let f be 1/1 - (-89 + (-99)/(-9)). Let z = -7 + f. Calculate the lowest common multiple of 81 and z.
648
Let s = -3437 - -3602. Calculate the least common multiple of 255 and s.
2805
Suppose 0 = 2*f + o + 3*o + 36, 2*f + 2*o = -46. Suppose -2*g = 2*g + 5*n + 188, 4*g - 3*n + 156 = 0. What is the lowest common multiple of 12 and g/f - 2/(-4)?
12
Suppose -1914 + 1903 = 11*g. What is the common denominator of (g + (-35)/(-25))*705/(-720) and (-105)/8 + (-1)/(-1)?
120
Suppose 308 = 2*x + 2*i, 126 = 2*x - 4*i - 170. What is the least common multiple of 190 and x?
760
Suppose -156*v + 5*w + 87 = -154*v, 3*v = 2*w + 114. Calculate the lowest common multiple of 72 and v.
72
Let f(t) = 11*t - 119. Let l be f(11). Suppose -5*g + 5 = 3*z, -4*z + l*g = -0*g - 50. Calculate the smallest common multiple of 16 and z.
80
Let f(o) = -528*o - 3694. What is the smallest common multiple of f(-7) and 11490?
11490
Let d = -323335 - -184947689/572. What is the common denominator of d and -69/308?
4004
Let y be (-3 - (-4 - (-9140)/9128))*-8. Let u = -94559/13692 - y. What is the common denominator of 11/56 and u?
168
Suppose -3*g = 66 - 51. Let j(b) = b**3 + 9*b**2 + 9*b - 13. What is the smallest common multiple of 9 and j(g)?
126
Let c(v) = v**3 - 2*v**2 + v + 1. Let z(x) = 18*x**3 + 13*x**2 - 7*x - 5. Let j(o) = 5*c(o) + z(o). Calculate the lowest common multiple of 20 and j(1).
120
Calculate the common denominator of 179/330 and 9 + (-235)/2*2/33.
330
Let t = -79281 - -9434562/119. Let g = -14827/1428 - t. What is the common denominator of g and -28/15?
60
Let g be (2/(-4))/(13 + (-721)/56). Let l(p) be the third derivative of -p**4/2 + p**3/3 - 2*p**2. What is the smallest common multiple of l(g) and 2?
50
Let i = 25983 + -9009. Let j be (i/12)/((-2)/(-4)). Find the common denominator of -49/22 and j/(-230)*-2*10/24.
44
Suppose 0 = 5*s + 5*g - 80, 0 = 2*s - 3*g + 87 - 139. Let r(o) = -2*o + 2. Let x be -8 - (2 + -1) - -2. What is the least common multiple of s and r(x)?
80
Calculate the common denominator of (-6)/(192/536)*(-7)/(-21) and -67/342.
684
Let a be 4/186*(-5243677)/(-278684). Let n be -2*2*(-2)/66712. Let h = n + a. What is the common denominator of h and 43/22?
462
Let i = 1581 - 6297/4. Let k = -4/323539 - -2383511957/11647404. Let n = 825/4 - k. What is the common denominator of n and i?
36
Let u(p) = p**3 - 100*p**2 + 402*p + 40. What is the lowest common multiple of u(96) and 16?
3536
Suppose -z - 3 = 2*z. Let t = 2137 + -17125/8. Find the common denominator of (-5 - z) + 54/12 and t.
8
Find the common denominator of -34 and (-1)/(-6) - 126/(-38070)*-24.
470
Suppose 2*m - 70 = 4*y - 5*y, -3*y - 4*m = -200. Let p = 67 - y. What is the lowest common multiple of (-11 - (-6 - -3))*2*-1 and p?
112
Let t = -1168951 + 1882011233/1610. What is the common denominator of t and -127/30?
4830
Suppose 0 = 3*f + 4*k - 188, 18*f - 17*f - k = 37. Suppose a = 5*a - 448. What is the smallest common multiple of f and a?
336
Suppose 0 = -i - 