509. Let p = -318627873 + 321814186567/1010. Let s = p + 4/505. What is the common denominator of m and s?
18
Let u = -17 + 13. Calculate the common denominator of 0 + u/(-320)*118 and -109/40.
40
Let h(m) = 69*m + 497. What is the smallest common multiple of 310 and h(-7)?
2170
Suppose 3*d - 16 = -3*y + 5, -2*y + 4*d = -2. Suppose 5*n = -v + 50, -v + 3*v - 1 = -n. What is the least common multiple of n and y?
55
Let t = -21 - -17. Let u be (-20)/(-6)*216/30. Let c = t + u. Calculate the least common multiple of c and 22.
220
Calculate the common denominator of ((-6)/(-27))/((-6)/(-12)) and 74/9.
9
Let x = 10761/10 + -1077. Find the common denominator of x and -43/604.
3020
Let z = 143 - 137. Calculate the lowest common multiple of z and 6.
6
What is the common denominator of (3/(-21))/(60/2422*1) and -73/294?
1470
Suppose o = -3*z + 81 - 8, -o = -3*z + 65. Suppose -4*k + 33 + z = 0. What is the smallest common multiple of 16 and k?
112
Let j = -186903/1840277 - -6001104031013/27046551069. Let g = 2/1633 - j. Let o = 221 + g. What is the common denominator of o and -46?
9
Let j(y) = -5*y - 52. Let r be (-5)/((-70)/6) + 460/(-28). Calculate the lowest common multiple of j(r) and 20.
140
Let n(r) = r**3 + 11*r**2 + 4. Let b be ((-27)/45)/((-1)/5). Let z be b/15 + (-112)/10. Calculate the lowest common multiple of n(z) and 12.
12
Let l = -760 + 776. Calculate the smallest common multiple of 472 and l.
944
Let p = -7/2063 + -356479/123780. Calculate the common denominator of p and -77/24.
120
Let t = -55621/20 - -2779. Find the common denominator of -101/732 and t.
3660
Let p(a) = -2*a + 1. Let x be p(-9). Suppose -x*b = -54 - 22. What is the smallest common multiple of b and 48?
48
Suppose 63 + 102 = 3*b. What is the common denominator of 614/(-120) - 11/(-66) and b/(-18) - (-6)/(-27)?
180
Let p be 20/28 - 2/(-7). Let k = 196047/20 - 9799. What is the common denominator of k and (p/(-6))/(3/(-393))?
60
Suppose 27 = 3*p + 4*a, p + 3*a = -5 + 14. What is the lowest common multiple of 136/40 - ((-36)/(-15))/(-4) and p?
36
Let x = 2585 - 4801/2. Let o = x - 177. Calculate the common denominator of 45/62 and o.
62
What is the common denominator of 139/30 and (-77)/50 + (-4 + 4)/5?
150
Let f = -171 - -239. Let y(d) = d**2 - 5*d. Calculate the smallest common multiple of f and y(6).
204
What is the lowest common multiple of 18 + -3 + -6 + 11 and 458?
4580
Suppose 2*a - 34 = -5*c, 3*a - 15 = -2*c + 47. Calculate the least common multiple of a and 334.
3674
Let r(g) = g**3 - 3*g**2 - 13*g. What is the least common multiple of r(6) and 30?
30
Calculate the common denominator of (-3)/(-8) + (-5700)/(-288) and 15/38.
114
Let t(h) = h**3 - 3*h**2 + h + 6. Let j be t(4). Let x = j - 15. What is the lowest common multiple of x and 11?
11
Let k = -466 - -236. Find the common denominator of ((-126)/(-2))/3 - 1 and (20/(-50))/((-16)/k).
4
What is the common denominator of -70/33 and -2*(-714)/12*(-2)/24?
132
Let y(k) = -11*k - 44. What is the smallest common multiple of y(-6) and 164?
1804
Let l = 1019 + -5119/5. Let d be (-24477)/12 + 8/(-32). Let p = 16285/8 + d. Find the common denominator of p and l.
40
What is the least common multiple of 40 and 10*(1 + 6/12)?
120
Let r(c) = 2*c**2 + 12*c - 4. Let p(l) = l**3 + 11*l**2 + l + 4. Let a be p(-11). What is the least common multiple of (-9 - 0)*(1 - 3) and r(a)?
90
Suppose m + 2*a = 49, -44 = 5*m + 2*a - 273. Let x be -3*5/3*-62. Calculate the common denominator of x/m*3/(-4) and -13/2.
6
Calculate the common denominator of (-749)/240 + 15*17/425 and 13/33.
528
Let f = 4629323/1398 - 52/233. Let g = f + -3287. Calculate the common denominator of g and 2/66*570/(-4).
66
Let n = -390 - -5102/13. What is the common denominator of n and ((-2)/16)/((-10)/8)?
130
Suppose 24 = 4*b - 4*v, -46 = -b - 2*b - 4*v. Suppose -112 = -b*s + 48. What is the smallest common multiple of 6 and s?
48
Let z = 1258 - 805. What is the lowest common multiple of z and 6?
906
Let a be -1*10/3 + (-1)/(-3). Let r = 43234/9 - 4798. What is the common denominator of r and 7/56 + (a - 0)?
72
Let f = 26785 + -2383907/89. Find the common denominator of f and -37/2.
178
Suppose -17*d - 151 + 1001 = 0. Calculate the lowest common multiple of 10 and d.
50
Let p(n) = n**3 + 6*n**2 + 1. Let m be p(-6). Calculate the lowest common multiple of 7 and (m - 89)*(-8)/16.
308
What is the common denominator of (59/21)/((-1)/3) and (80/11 + -8)/2?
77
Let b be (-24)/9*9/(-6). Suppose -8 = b*d - 36. What is the smallest common multiple of d and 12?
84
Let u = 6 + -2. What is the common denominator of 296/7 - u/14 and (-3 - -3) + (-356)/(-32)?
8
Let d(t) = -t**3 - 27*t**2 - 34*t - 108. What is the smallest common multiple of d(-26) and 60?
300
Suppose 6 = m + 2*m, -o = 3*m - 22. Suppose -o - 11 = -d. Calculate the lowest common multiple of 18 and d.
54
Suppose -2*t - 2*f + 25 = 9, 4*f = 5*t - 13. Suppose t*o = 3*o + 18. Calculate the least common multiple of o and 2.
18
Let w be 134/(-32) + (-20)/(-5). Let h = w + -421/16. Find the common denominator of h and -151/12.
12
Let o = 31 - 27. Suppose o*k + 0 = 4. Find the common denominator of k/2*302/18 and -103/18.
18
Let w(u) = -u**3 + 4*u**2 - u - 2. Let b be w(3). Suppose -23 = -b*g + 17. Calculate the least common multiple of -3*1 - (-70)/(0 + 7) and g.
70
Suppose -v + 0*v = -4*b + 117, -2*b + 2*v + 54 = 0. What is the smallest common multiple of 36 and b?
180
Calculate the common denominator of 137/12 and (57/(-276))/((-51)/(-136)).
276
Suppose -3*h + 2*p = 5*p, -5*p = 0. Let y = -37 - -64. Suppose h = -5*k + 33 + y. Calculate the smallest common multiple of k and 14.
84
Suppose 10*g = g - 15282. Let n = -23759/14 - g. What is the common denominator of -23/14 and n?
14
Let h be 60*-16 - (-18)/(-6). Let j = -7739/8 - h. What is the common denominator of ((-279)/(-6))/1*(-2)/10 and j?
40
Let n = -143693/48 + 2993. Calculate the common denominator of n and -103/288.
288
Suppose -10*x = -6*x - 12. Suppose 72 = 3*o + 3*u, -52 = -3*o + x*u - u. What is the least common multiple of o and 36?
180
Let k be (-144)/84*(-287)/4022. Let x = -50440843/24132 + k. Let o = -2086 - x. Calculate the common denominator of -85/4 and o.
12
Let j be 1630/332 - 3 - 2. Let g = 3452/83 + j. Let n = -37/7 - -304/35. What is the common denominator of n and g?
10
Let h = 127 + -122. Suppose 0*l = 3*l + 4*j - 37, -j - 10 = -l. What is the lowest common multiple of h and l?
55
Let j(a) = -a**3 + 23*a**2 - 17*a - 91. Calculate the lowest common multiple of j(15) and 16.
11632
Let y = -23 - -21. Find the common denominator of ((-26)/16)/(y/14) and 43/5.
40
Calculate the least common multiple of (-8)/(0 - 5/30) and 108.
432
What is the common denominator of -61/24 and (-7 - (-572)/80)/(72/550)?
48
Suppose q - 7*q = 558. Find the common denominator of 34 + -35 + (-2)/(32/q) and -79/12.
48
Suppose a + 4*c + 207 = 584, 3*a - 1149 = -3*c. Let v = -87 + a. Calculate the common denominator of v/(-30) - (-2)/(-12) and -73/18.
90
What is the smallest common multiple of -1787*2/(-34) - (-28)/(-238) and 147?
735
Let i(j) = -4*j + 2. Let p(u) = -4*u**3 - u**2 - u + 1. Let d be p(1). Suppose 18*w + 180 - 675 = -171. Calculate the least common multiple of i(d) and w.
198
Let j = -26069/260 + 1347/13. Calculate the common denominator of j and 106/(-8)*(-1 + 2).
20
Find the common denominator of -59/55 and 2 + -3 + (-1810)/(-1725).
3795
Calculate the lowest common multiple of 69/((1 - -1) + 68/(-40)) and 46.
230
Let t be (474/32)/1 - 1. Let k = 1187/112 - t. Calculate the common denominator of 109/12 and k.
84
Let j = 1900/3 - 623. Let f = -10024/849 + -15/566. Find the common denominator of j and f.
6
Let m be 2 + 45 + 3 + -5. What is the lowest common multiple of 2 and (-10)/(-4)*72/m?
4
Let h = 6117 - 6107. Calculate the lowest common multiple of (-6 - 0)*3/(-6) and h.
30
Let s be (-1 + 24/15)/(3/15). Suppose -36 = -t - 3*t + 4*f, s*t - f = 33. What is the least common multiple of t and 6?
12
Let k = -23764/9 + 2643. Calculate the common denominator of k and -69/104.
936
Suppose -n + 4*n = 4*j - 31, -5*j - 3*n + 32 = 0. Let q be ((-12)/117)/(j/(-48)). Let t = q - -1/91. Calculate the common denominator of -87/4 and t.
28
Let r(n) = -6*n**3 + 2*n + 1. Le