84
Let x = 2/106515 - -934901/3408480. What is the common denominator of x and 139/60?
1440
Let d = 58376/8449 - -282/1207. Calculate the common denominator of (2/252)/(4/(-512)) and d.
63
Let w(j) = 7*j**2 - 12*j. Let f be w(4). Find the common denominator of 111/10 and ((-28)/f)/7*30.
40
Let x = -298561/1005372 - 15/6206. What is the common denominator of 143/72 and x?
648
Let a = -285 - -313. Find the common denominator of a/126 + (-1682)/360 and -67/40.
40
Calculate the smallest common multiple of 27 and (-1)/((-1)/54)*(-247 - -252).
270
Let f(u) = -10*u - 3*u**3 - 6*u**2 + 18692 - 18681 + 2*u**3. What is the smallest common multiple of 108 and f(-5)?
108
Find the common denominator of 0 - (-1)/(120/(-244)) and ((-42)/90)/(6/(-1785)*-7).
30
Let w(m) = 9*m**2 - 880*m - 133. Let a = 94 + -22. What is the lowest common multiple of a and w(98)?
504
Find the common denominator of 45/11 and ((-310)/1510)/((-7)/((-21)/(-33))).
1661
Suppose -9*l = 8*l + 1224. Find the common denominator of -43/4 and 12/l + (-269)/150.
100
Let p = -8085 - -2841. Let d = p + 57633/11. What is the common denominator of 10/107 and d?
1177
Let l = -43959/33728 + -46/527. What is the common denominator of -17/2 and l?
64
Let q be -2 + 4*1/(-2). Calculate the common denominator of -6 + (-1120)/(-88) - 7 and 3 + (4 - 30/q).
22
Let o = -132474263/12 + 11052015. Let h = o + -12482. Let v = -140983/21366 - 15/1187. Calculate the common denominator of v and h.
36
Suppose -4*b + 12 = -2*w, -3*w - 2*w - 2 = -3*b. Suppose -21*s + 19*s + 2*p = -14, 0 = 3*s + 5*p + 19. What is the lowest common multiple of w and s?
2
Let l(w) be the first derivative of w**4/4 - 4*w**3/3 - 6*w**2 + 30*w + 42. Calculate the smallest common multiple of l(6) and 48.
240
Let s = -221674421/276 - -803167. Let q be 212/46 + 1/(5/(-20)). Let w = s + q. Calculate the common denominator of -42 and w.
12
Suppose -109*v = -113*v + 8. Suppose 2*i - 10 = v*m, -3*m - 5 = m - i. Calculate the common denominator of 51/10 and m + (-3 - 1) - (-7824)/864.
90
Suppose 13 = 5*h + 5*x - 37, h = x + 8. Let p be -186*((-15)/(-135))/(2/h). Let t = p - -96. What is the lowest common multiple of 10 and t?
30
Let l(h) = h**3 - 6*h**2 + 8*h - 13. Let k be l(6). Calculate the common denominator of (1 - -12) + k/(-140) and 139/36.
36
Let g be -2 - (-6)/3 - -1905. Let p = 40746/23 - 1772. Find the common denominator of p and g/(-54) - 4/18.
46
Find the common denominator of ((-290)/(-420))/(80 - (9 + -4)) and 127/1890.
9450
Suppose -3277 = 10918*s - 10947*s. Calculate the least common multiple of s and 1017.
1017
Calculate the lowest common multiple of ((-5832)/(-63))/(24/224) and 480.
4320
Let t(l) = -144*l + 1416. Let s be t(10). Let u = -1 + 2. What is the common denominator of 2/21 and u - (2 + (-452)/s + 2)?
42
Let o = -713971457 - -5102040005695/7146. Let w = -120/397 + o. What is the common denominator of -14/15 and w?
90
Let o = 29/66 + 29/66. Find the common denominator of -109/110 and o.
330
Suppose 53*a = 55*a - 8142. Let r = a + -32613/8. Find the common denominator of -91/132 and r.
264
Let i(j) = -13*j - 29. Let v be i(-10). Suppose -h = -4*k + v, 5*k = h - 2*h + 115. Suppose k = 15*y - 13*y. What is the least common multiple of y and 28?
84
Suppose r + 6435 = -4*r. Calculate the common denominator of 4/4 - (-79)/(-16) and (-10)/(-4)*r/9165.
752
Let c = -208 - -146. Calculate the common denominator of 83/18 and (2 + 126/c)*396/(-88).
558
Let h be (27/(-15))/(6/30) + 1. Find the common denominator of (((-1648)/(-7))/h)/(-4) and 1/64.
448
Let r(k) = 2*k - 23. Let y be r(10). Find the common denominator of 321/630 + (112/(-35) - y) and -13/28.
84
Suppose q - 48 = -d, d + 10*q - 14*q = 18. Let p(l) = l**2 - 5*l - 4. What is the smallest common multiple of p(7) and d?
210
Let v = 2108/5 - 18133/30. Let q = 180 + v. Calculate the common denominator of -25/48 and q.
48
Let c = -69202/9 + 7687. Calculate the common denominator of c and 57/4925.
44325
What is the least common multiple of (245/21)/((-32)/(-672)) and 84?
2940
Suppose -15*x + 2077 = 15*x - 173. Calculate the least common multiple of (-360)/(-4)*(-10)/(-6) and x.
150
Calculate the common denominator of 91/6724 and (-2820)/7520*(-2 + (-170)/(-18)).
40344
Let y = 174329/4528 + -1/4528. Find the common denominator of y and -79/92.
92
Find the common denominator of (-108)/11925*20/(-88) and 76/795.
8745
Let i(n) = -4*n**2 - 113*n + 56. Calculate the lowest common multiple of 9 and i(-19).
2277
Let f be -5 + 22120/5532 + 1. Let g = 4302/461 - f. What is the common denominator of -121/12 and g?
12
Suppose 4*r - 46 = 2. Let x = -18 + r. Let p = 28 + x. Calculate the lowest common multiple of 94 and p.
1034
Let r = 374/20679 + -4926431/188923344. What is the common denominator of r and 131/36?
82224
Let r be (-46)/(-7)*(16/2 + -1). What is the least common multiple of (r/(-6) + 6)*-12 and 28?
140
Let p be (-395)/55 - 2/(-11). Let h(n) = 5*n**3 + 15*n**2 - 5*n - 7. Let x be h(p). Calculate the common denominator of 29/6 and (-1)/(x/21)*4/(-6).
204
Let v = 56137/15 + -3741. Calculate the common denominator of -67/699 and v.
3495
Suppose -3*o = 2*x - 672, 10*o = 12*o + 16. What is the lowest common multiple of x and 114?
6612
Let b(r) = -r**3 - 20*r**2 + 3*r + 25. Let s be b(-20). Calculate the common denominator of -91/6 and (137*(-3)/36)/(s/(-10)).
42
Suppose g - 92 = -3*g - 4*l, 3*l + 31 = 2*g. Let r(n) = n**3 + 29*n**2 - 68*n + 932. What is the smallest common multiple of g and r(-32)?
180
Find the common denominator of 76/225 and 2*14*(-1)/4 - (-10263)/1375.
1125
Let f = -192596/65897 - 2/5069. Suppose -246*t + 249*t + 4*i = 109, 110 = 3*t + 5*i. Calculate the common denominator of t and f.
13
Let i = -833 + 1065. What is the smallest common multiple of i and 88?
2552
Let y(i) = 11 + 2*i + 7 - 1. Let o be y(8). Let a = o - 25. What is the least common multiple of 10 and a?
40
Suppose j - 9 = -5. Suppose l - 5*d = 7, 3*l - 57 = j*d - d. Suppose -32 = -m - m. What is the least common multiple of l and m?
176
Let k = -2/7931 - 1123/39655. What is the common denominator of 27/230 and k?
1610
Suppose -5*t - n - 486 = 0, -106*t - n = -104*t + 195. Let o = t + 113. Calculate the least common multiple of 25 and o.
400
What is the common denominator of (-14 - -7)/14*(-62)/(-18) and 0 + -1 - 4 - 516/(-99)?
198
Suppose -137*g - 3511 + 23117 = 426. Calculate the lowest common multiple of 230 and g.
3220
Let p be (1 + -2 - -3)*(-6)/(-4). Let k be 2/(2/5) - p. Suppose -k*l = -11 - 55. Calculate the least common multiple of l and 27.
297
Let i be 19/19 - (-2486)/(-2474). Let m = -43427/27214 - i. What is the common denominator of m and ((-60)/990)/(4/267)?
22
Find the common denominator of (-2)/(-15) + (-15757)/144690 + -14 + 14 and -67/30.
20670
Let b be 6/((-9245814336)/(-12444853484)) - 8. Let l = b + -1/492008. Calculate the common denominator of 29/20 and l.
15660
Let l = 152 - 102. Suppose -5*y + 5*m + l = 0, -5*y + m + 35 = -m. What is the least common multiple of y and 1?
5
Suppose 42*t - i = 38*t + 660, 0 = 3*i. Calculate the smallest common multiple of t and 60.
660
Let w = 3050740835205/3932 - 775875072. Let u = w - 1/1966. What is the common denominator of -137/24 and u?
24
Let y be -11 + -1 - (-4 + 20)/(-8). What is the lowest common multiple of 184 and 6*y/135*(-27)/6?
184
Let d(z) = -684*z + 1420. Calculate the lowest common multiple of d(2) and 312.
312
Let v = 42 - 48. Let b = v + -3. Calculate the common denominator of 9/16 and b/12*51/36.
16
Let r be -11*(-1053764297709)/71847 - 2. Let p = 1452011422/9 - r. Let n = 2/887 - p. Calculate the common denominator of n and -67/18.
54
Suppose -5*g - 4*w + 208 = 0, 13 = -g - 3*w + 59. Let b be g/12*(168/(-5))/(-2). Find the common denominator of -2*(-13)/b + 7/(-28) and 17/8.
56
Let d = 1 - -4. Suppose 2*a + 5 + 7 = d*g, 4*a = -g + 20. Let u(v) = 2*v**2 - 63*v - 18. Calculate the smallest common multiple of u(32) and a.
28
Let c be 3 + (5 - (-6130)/75). Let q = -181/2 + c. What is the common denominator of 82/45 and q?
90
What is the common denominator of (-12 - 3) + (-4181)/(-222) and -107/190?
570
Let h = -65 - -93. Suppose -3*l + l = -2*t - h, 0 = -2*l - 4*t + 40. Calculate the least common multiple of 16 and l.
16