. Calculate the least common multiple of u and 36.
180
Suppose 0 = 5*u, u - 6*u + 9 = x. Let b(a) = a**2 - 7*a - 10. Let z = -2 - -12. What is the lowest common multiple of b(x) and z?
40
Suppose -43*a + 28*a + 135 = 0. Let t(w) = w**3 + 6*w**2 + 3*w. What is the smallest common multiple of a and t(-4)?
180
Let j = -4439/1071 - -4/119. Let u = 172 - 81. Let i = 49 - u. What is the common denominator of j and i?
9
Suppose -4*z + 7 = -f - 4*f, 4*z - 57 = -5*f. Let i be 6/9*36/z. Suppose -i*r + 38 = 8. Calculate the smallest common multiple of 12 and r.
60
Let u(b) = -2*b**2 + b - 5. Let p be u(-5). Find the common denominator of (-3)/p*106 - -4 and -39/7.
70
Let i(o) = 15*o - 6. Let u be i(6). Let x = u - 152. Calculate the common denominator of (-5)/4*x/(-30) and -31/14.
42
Suppose 2*d - d = -5*l + 1735920, -3*l = 2*d - 1041559. Let k = l - 59020801/170. Let z = k + -36/17. Calculate the common denominator of -25/2 and z.
10
Let y = 117/22 + 2/11. Let d(n) = 28*n + 36. Let h be d(10). What is the common denominator of h/77 + (-4 - 52/(-14)) and y?
22
Let o be 12 - (20/(-6) + (-8)/12). Let q(x) = 2*x - 2. What is the lowest common multiple of 60 and q(o)?
60
What is the common denominator of (59 + -60)*(-1 - 179/(-258)) and -83/36?
1548
Let u = 899/168 + -1/56. Suppose 3*t = 2*t - 3. Calculate the common denominator of t + (-4 - (-60)/32) and u.
24
What is the common denominator of (0 - 5) + (-10)/(-70) and 93/320?
2240
Let m = -28 - -44. Calculate the lowest common multiple of m and 120.
240
Let o = -32 + 37. Suppose 0 = 3*k - 4*l - 9, 4*k - 2*k = -o*l + 29. Calculate the smallest common multiple of k and 42.
42
Suppose -4*b = t + 2, 3*t - 2*b = -7*b - 20. Let f be (96/(-5))/(t/(-450)). Let z = -2638/3 - f. What is the common denominator of z and 101/6?
6
Let b = -51 + 34. Calculate the common denominator of b/4 + (-26)/(-39) and -139/18.
36
Let j = 11/47 - 4227/188. Let r = 2743 + -8159/3. Calculate the common denominator of r and j.
12
Let n = -104 + 142. Calculate the lowest common multiple of n and 4.
76
Find the common denominator of 11 - 13 - 133/(-66) and -25/12.
132
What is the common denominator of 65/2 and (3/16)/((-12)/536)?
8
Suppose 4*f + 38 + 22 = 0. Let q = 11 + f. Calculate the common denominator of q/16*2/(-4) and -20/13.
104
Suppose -1693*m + 1687*m = -1800. Calculate the lowest common multiple of 4 and m.
300
Let k(y) = 5*y**2 - 3*y - 12. Suppose 5*n + 5*s = 130, -52 - 43 = -5*n + 2*s. Calculate the least common multiple of k(3) and n.
168
Suppose -383 = -2*z - 317. Calculate the least common multiple of 21 and z.
231
Let q = -7 + 8. Let u(y) = -10*y**3 - 5*y**2 + 4. Let p(z) = z**3 + z**2 - 1. Let v(a) = q*u(a) + 3*p(a). Calculate the least common multiple of 12 and v(-1).
12
Suppose 0*r + r - 3 = 0. Let g(m) = -4*m**2. Let d(c) = 12*c**2. Let n(u) = 5*d(u) + 14*g(u). Calculate the common denominator of n(r) and -27/8.
8
Let d = -13 - -15. Let z(t) = 3*t - 4. Let h be z(5). Suppose -d*u = -u - h. What is the lowest common multiple of 1 and u?
11
Let c = -26937249/5 - -107616139/20. Let x = 6641 + c. Find the common denominator of -81/14 and x.
140
Suppose -35*d + 14 = -34*d. Suppose 3*h - 75 + 12 = 0. Find the common denominator of -50/3 and h/66 - 7/d.
33
Let z(r) = 2*r - 7. Let p be z(-10). Calculate the common denominator of -59/86 and ((-279)/p)/(30/9).
430
Let k = 3/5747 + -92237/545965. Let d = 4877/190 + k. Find the common denominator of ((-2820)/(-660))/((-3)/(-33)) and d.
2
Let v = 9 + -6. Suppose -54 = -3*r + 2*w, -60 = -v*r - 0*r + 4*w. Suppose i = 0, -2*i = -3*g + 73 + 47. What is the smallest common multiple of r and g?
80
What is the lowest common multiple of 40 and 1/2 - (-851)/74?
120
Let k be 18/2*(-80)/(-60). What is the least common multiple of k/8*8 - -4 and 2?
16
Let w = 6851/29596 + -2/1057. Find the common denominator of 13/14 and w.
196
Suppose 3*v + 5*c - 8 = 0, c = 3*v + 2*c - 4. Suppose -22*h + 4 + 24 = 6. Calculate the least common multiple of h and v.
1
Let k be 4/(2 + ((-572)/96 - -4)). Suppose -5*j = -4*y + 1788, 0*j + 4 = -j. Find the common denominator of (-2)/(-6) + y/k and -121/6.
48
Let r = 249993/40 + -6249. Find the common denominator of 5/48 and r.
240
What is the common denominator of -91/76 and -101*(-2)/(-32)*13/26?
608
Suppose -173 = -4*z + y, 4*z + 0*y = -3*y + 185. Calculate the lowest common multiple of z and 4.
44
Let g = 271493 + -821408/3. Let z = 2335 + g. Calculate the common denominator of (4 - 1)*(-36)/(-10) and z.
15
What is the common denominator of (-906)/(-540) - 30/45 and 73/72?
360
Let y = 2700 + -2722. Calculate the common denominator of 77/146 and y.
146
What is the common denominator of 125/66 and 25/(0 - -5) + 73/12?
132
Suppose 0 = 17*r - 14*r - 3*o, -4*r = 5*o + 36. What is the common denominator of (-15)/(-1 + r) + (-138)/(-8) and 31/10?
20
Let c = 2223/8 + -11311/40. Suppose -5*q + 153 = -22. What is the common denominator of c and q?
10
Let j = -132 + 132. Suppose 3*x - x + 4*h = 14, j = h + 1. Calculate the least common multiple of 48 and x.
144
Let c(q) = q**3 - 8*q**2 + 11*q + 19. Let v be c(8). What is the common denominator of ((-30)/2)/5 - v/(-10) and 6/(-2) - (-12)/(-88)?
110
Let t = 105 + -80. Suppose -12 = -28*c + t*c. What is the lowest common multiple of 18 and c?
36
Let c be ((-4355)/(-25)*1)/(-1). Let f = 181 + c. Let k(j) = -18*j**2 + 2*j - 1. Find the common denominator of k(1) and f.
5
Find the common denominator of (207/(-138))/(-1 + (-143)/(-125)) and -95/148.
444
Suppose 3*a - 5*w = -0*w + 389, -3*a - 3*w = -405. Calculate the smallest common multiple of a and 38.
266
Calculate the lowest common multiple of 70 and ((-18)/(-2))/((-3)/(-15)).
630
What is the lowest common multiple of 92 and 6/9 + ((-188)/(-3))/2?
736
Let v = -1322 + 1432. Calculate the lowest common multiple of v and 50.
550
What is the common denominator of ((-12)/(-300))/(8/(-1340)) and -1 + (-3)/(162/91)?
270
Suppose 5*m = 4*m. Suppose -12*r + 6*r + 168 = m. What is the least common multiple of 60 and r?
420
Suppose 0 = f + 3*r + r - 64, 3*r = 3*f - 117. What is the least common multiple of 28 and f?
308
Let f(b) = -2087*b**2 + 4. Let l be f(-3). Let v = l - -375669/20. Calculate the common denominator of 62/140 - (-1)/(-7) and v.
20
Let i be (-9)/(((-6)/8 - -1)/1). Let g = i + 42. Calculate the least common multiple of 12 and g.
12
Let w be (-4)/((-8)/(-6)) - -6. Suppose 4*s - 4*q + 4 = 0, -7 - 2 = -3*s - w*q. What is the lowest common multiple of (s - 2)*(-1 + 0) and 7?
7
Let a = -7 + 11. What is the smallest common multiple of 15/2*160/60 and (6/a)/((-12)/(-128))?
80
Let k = -135 + 207. Calculate the common denominator of 32/144 - (-602)/k and 89/20.
60
Suppose 0 = -5*p + 2*p. Suppose -3*c + 60 - 15 = p. Find the common denominator of ((-2)/c)/((-6)/468) and 37/8.
40
Let y = -2/12191793061 - -500729132851837/265208074455933. Let o = -2/2417 - y. Calculate the common denominator of 1/7 and o.
63
Suppose -3*b + 9 - 21 = 0. Suppose w - 2 = 0, -a - 2*a - w + 20 = 0. Calculate the smallest common multiple of 10/b*(-32)/40 and a.
6
Let k = -5 - -172. Let t = k - 77. Find the common denominator of ((-28)/t)/(8/190) and -107/22.
198
Suppose 0*b + b = 9. What is the least common multiple of 955/35 + 10/(-105)*3 and b?
27
What is the common denominator of ((-28)/(-70))/(-2*(-3)/(-108)) and 94/44*(-4)/(-2)?
55
Let k(v) be the second derivative of -v**5/20 - 7*v**4/6 - v**3/3 - 4*v**2 + 5*v. What is the least common multiple of 22 and k(-14)?
220
Let h(f) = -90*f - 386. Calculate the smallest common multiple of h(-5) and 32.
64
Let y = 5379 + -3606. What is the common denominator of y/(-2592) - (-4)/(-18) and 51/20?
160
Let g be (13028/(-392) - 6) + -4. Let f be 164/(-490) - (-4)/(-10). Let w = g - f. Calculate the common denominator of w and -33/8.
8
Let g = -175613/14 + 12552. Let b = -47221/16 - -2948. Find the common denominator of g and b.
112
What is the common denominator of 6/33 + (-843)/99 and 47/51?
51
Let j = -1301 - -1308. Calculate the smallest common multiple of j and (-61)/(-9) - (-2)/9.
7
Suppose -99 = -24*z - 27. Let c(p) = -p**3 + 10*p**2 - 7*p - 10. Suppose -x + 18 = x. What is the least common multiple of z and c(x)?
24
Suppose 359 = 46*q - 285. What is th