. Let l = m - 674. What is the least common multiple of l and 10?
160
Let j = 2366 + -14167/6. Find the common denominator of 121/140 and j.
420
Let t = 5639 + -304655/54. Calculate the common denominator of t and 181/60.
540
Let m = -22 - -16. Let u be 5 + m - (2 + -3). What is the common denominator of 2/8*((-256)/15 + u) and -27/11?
165
Suppose 47*b = 53*b - 12. Suppose o + 3 = u - 3, 0 = -b*u - 5*o + 12. Calculate the smallest common multiple of u and 44.
132
Suppose 2*q - 150 = -q. Let l = -9831 + 9836. Calculate the smallest common multiple of l and q.
50
Let s(l) be the third derivative of l**4/6 + 2*l**3/3 - 19*l**2. Let b be s(0). Let h(w) = 11*w - 38. Calculate the lowest common multiple of 30 and h(b).
30
Let v = 3845 + -3332. What is the smallest common multiple of 342 and v?
1026
Suppose 38*y - 29*y - 45 = 0. Suppose y*c = 29*c - 4320. Calculate the lowest common multiple of c and 21.
1260
Let d = 11147/4 + -2810. Suppose 2*k + 5*b + 5414 = 0, 65*b - 63*b = 2*k + 5428. Let l = -8065/3 - k. Find the common denominator of d and l.
12
Let m = 4983847/38220 + -8484/65. Calculate the common denominator of 4/1323 and m.
5292
Let l = 66250 - 5962639/90. Let a = -8459 + 50603/6. Calculate the common denominator of l and a.
90
Suppose y + 3*y - 102 = 3*b, -5*b = 2*y - 64. Let d be (23 + 13)*(-6)/8*-2. Suppose -d*z - 3 = -55*z. Calculate the smallest common multiple of y and z.
27
Let a = 73 + -71. Calculate the common denominator of 20/(-240) - a*-1 and -11/15.
60
Let b = 697/3 - 638/3. Suppose 14*w - 13922 = 9108. Let s = 11492/7 - w. Calculate the common denominator of b and s.
21
Calculate the common denominator of 4 + (-66721)/17290 + 70/(-455) and -37/1330.
1330
Suppose -2*n - 177 + 201 = -5*i, 2*n - 60 = -4*i. Let v(x) = 14*x**3 + 2*x**2 - x. Calculate the least common multiple of n and v(2).
1298
Find the common denominator of -25/633 and (2/24)/((-8)/(-174)*189/252).
2532
Let k(j) = -3*j**2 - 10*j - 13. Let v be k(-8). Let b = v - -71. Let r = b + 55. Calculate the lowest common multiple of 4 and r.
4
Suppose -w = -2*b - 144 - 186, -330 = -w - 2*b. Calculate the smallest common multiple of w and 33.
330
Let s = 252 + -234. Suppose 5*z + 3*i = 70 + 3, -i - 55 = -4*z. What is the smallest common multiple of z and s?
126
Let p = -164341/1287132 + -1/39004. Calculate the common denominator of -67/105 and p.
2310
Let j = -7761 - -7808. What is the lowest common multiple of j and 25?
1175
Let t be ((-13457)/8974)/(-1) + (-30)/20. Let k = t - 183895/161532. What is the common denominator of 31/24 and k?
72
Suppose 3093 = -23*d + 27*d - 5*u, 0 = -4*d - 3*u + 3117. Calculate the smallest common multiple of d and 56.
6216
Let c be 5 + (4 - (-5)/(-5)). Let h = -80909/115976 - -5/4142. Find the common denominator of h and (-770)/21*((-11)/c - -1).
56
What is the common denominator of -23/198 and -6 + 5*3012/(-1080)*(-10)/24?
2376
Let g = -15055/30768 - -13/1282. Find the common denominator of -11/10 and g.
240
Let s(a) be the second derivative of a**3/2 - 3*a**2 + 3*a + 2. Calculate the common denominator of 71/245 and s(9).
245
Let l be -2 + ((-2177)/(-2460) - -4) + 3. Let w be 1*(-794)/(-820) + -1. Let t = l - w. Find the common denominator of t and 57/16.
48
Let w = -4932/1535 - -4/307. Find the common denominator of w and ((-7)/25)/((-20)/50) + -2.
10
Let v(h) = -3 - 2 + 56*h - 1 + 3. Let m be v(18). Let n = 8023/8 - m. Find the common denominator of -97/16 and n.
16
Let m = 120015214/411 - 292008. Find the common denominator of 1/(-3) - (-895)/165 and m.
4521
Let z = -346338481/3942460158 + -2/3236831. Find the common denominator of z and 53/60.
12180
Let j be 2/10 - 3399/(-420). Let g = j - 135/14. What is the common denominator of g and -1 - (430/(-200))/1?
20
Let s = 3533/150 + -346/15. Calculate the common denominator of s and -1/300.
300
Let h = 1/7343 - 227828/1431885. Calculate the common denominator of h and -23/1935.
25155
Suppose -189 = 2*i - 177. Calculate the least common multiple of 21 and ((-2)/i)/(29/9657).
777
Let a be 2/(-10) - (-41)/(-15)*-3. Suppose -9*j - a = 19. Find the common denominator of -67/12 and 149/12*j*(-8)/36.
36
Let h be 217/124 - (-29)/4. Suppose 6*o - 1050 = -h*o. Calculate the smallest common multiple of o and 161.
1610
Suppose -5*z = -28*g + 29*g - 214, -3*g + 775 = -4*z. Calculate the smallest common multiple of 1245 and g.
1245
Let a be (-4)/((-48)/(-239346))*4/24. Let d = a + 3341. Calculate the common denominator of d and 63/80.
80
Calculate the least common multiple of 165 and (-12 + (-2448)/(-119))*154.
1320
Calculate the common denominator of (-7990)/(-840) + 0 + -8 and -46/57.
1596
Let s = 103 - 84. Find the common denominator of s/(-3) + 1 + 3 + -2 and 61/3.
3
Let w(r) = -2*r**3 - 56*r**2 - 16*r - 388. Calculate the lowest common multiple of 60 and w(-28).
60
Suppose -22*b + 237 + 1897 = 0. Calculate the least common multiple of ((-1)/3)/((-6)/90) and b.
485
Let d = 10513597/6 - 1758684. Let k = -6433 - d. Find the common denominator of 89/40 and k.
120
Suppose -2*x + 3*g = 5*g + 24, -4*g + 33 = -5*x. Let h(k) = -106*k**2 + 16*k - 3. Let j be h(3). What is the common denominator of -67/6 and 4 + (j/(-22))/x?
66
Suppose -38328 - 198882 = -6*n. Let w = n - 2925495/74. Calculate the common denominator of w and -73/2.
74
Let d = -123497 + 57055499/462. Calculate the common denominator of 89/84 and d.
924
Let z = -2223351660683/68762100 - -3969/520925. Let a = -32333 - z. What is the common denominator of a and -26/9?
396
Let d(r) = 3*r**3 - 3*r**2 + 14*r - 10. Let b be d(6). Let f = b + -524. Calculate the least common multiple of f and 18.
90
Let l be (-56)/(-12)*(-18)/(-21). Let f(k) = 6 + 35*k - 13*k - 13*k - 8*k. What is the least common multiple of 2 and f(l)?
10
Let a = -189025837145 - -327959908878802/1735. Let u = 46935 - a. Let j = u + 109321/13880. Find the common denominator of j and 47/14.
56
Suppose 3*v + 42 = 3*j, 4*j - 65 = -j + 4*v. Calculate the lowest common multiple of (4 + 175/(-42))/((-4)/12)*72 and j.
36
What is the lowest common multiple of 4 and (((-232)/56 - -5)*-14)/((-1)/23)?
276
Let o be (-12)/120 - 881/(-10). Suppose 3*y - 19 = 29. What is the lowest common multiple of o/5 - ((-14)/10 + 1) and y?
144
Let s be (-560)/180*42612/(-21). Let r = 6305 - s. What is the common denominator of 53/14 and r?
126
Suppose -3*x + 5*x = 36. Calculate the least common multiple of x and (-1191)/(-54) + (-8)/144.
198
Suppose 0 = -14*a + 1599 - 143. Calculate the lowest common multiple of 91 and a.
728
Let k = 52324 + -31575. Let x = k + -249127/12. What is the common denominator of x and (-74)/(-20) + 12/18?
60
Let q be -21*(-2)/3*4/8. Let f(g) = -g**3 + 8*g**2 - 10*g + 33. Calculate the lowest common multiple of 132 and f(q).
132
Let d = 643 - 636. Calculate the common denominator of 43/30 and 663/(-1530) + d/4.
60
Let v = 206/375 - 2/125. Let n = -89/45 + v. Let j = 2143 + -57835/27. Calculate the common denominator of n and j.
27
Let n = 3 + -3. What is the common denominator of (212/(-12))/(2 + n) and (225/(-90))/(2/(-44)*3)?
6
Let o be ((-45)/(-30))/(1/130). Let z = 205 - o. What is the smallest common multiple of z and 5?
10
Suppose -23 = 4*y - 2*f - 73, 0 = -5*y - 2*f + 58. Let m(n) = -n**2 - 6*n - 2. Calculate the least common multiple of y + 1 - (-55 - -46) and m(-4).
66
Let v(f) = -12*f + 85. Suppose -32*g = -23*g - 54. Calculate the smallest common multiple of v(g) and 6.
78
Suppose 64*o + 4 = 68*o, 3*s - 600 = 3*o. What is the least common multiple of s and 469?
1407
Calculate the common denominator of (-53*(1 + (-12)/9))/4 and 139/450.
900
Suppose y - 11769 = -2*y - 3*w, 0 = -4*y - w + 15704. Let n = -117829/30 + y. Find the common denominator of -79/90 and n.
90
Let i = -156190067/360 + 433861. Find the common denominator of i and 83/288.
1440
Suppose 5*n - 370 = -5*g, 31*g - 35*g + 5*n = -278. What is the least common multiple of g and 36?
72
Let j = -2/112973 - 14120689/52871364. What is the common denominator of -64/3 and j?
468
Let v(n) = -7*n**2 + 7*n + 15*n**2 - 7*n**2 + 3. Let w be v(-6). Let p = 27 - w. What is the lowest common multiple of 27 and p?
270
Let k = 93520917/400 - 233802. What is the common denominator of k and 76/1875?
30000
Let n = 1439 + -15859.