146). Calculate the common denominator of 35/24 and ((-12)/r)/((-136)/u).
120
Suppose -23*r + 2458 = 2182. What is the least common multiple of r and 1462?
8772
Let f(q) be the second derivative of q**4/4 + 11*q**3/2 + 2*q**2 - 4*q + 1. Calculate the least common multiple of f(-11) and 318.
636
Calculate the common denominator of (-10961)/(-47460) + (-117)/(-42) + -3 and -31/300.
300
Let q = -9611/1083630 - -14/4405. What is the common denominator of -16/369 and q?
3690
Let q = -4180/2709 + 80/43. What is the common denominator of q and 29176/(-24255) - (-6)/22 - (-72)/(-336)?
630
Let c be ((-72)/(-8) + -8)*-41. Let k = -15 - c. What is the least common multiple of k and 22?
286
Let s(x) = -x**2 - 4*x + 2. Let i be s(-4). Suppose i*b + 47 = -137. What is the common denominator of 107/10 and ((-1)/(-4))/(b/(-196))?
460
Suppose 0 = -q - 5*z + 109, 3*q - 4*z - 219 = 13. Let o(t) = 4*t**2 - 37*t. What is the lowest common multiple of q and o(12)?
924
Find the common denominator of 5 - -46038*(-21)/192402 and -103/30.
15270
Let r(x) = 17*x - 62. Let z(s) = 39*s + 340. Calculate the lowest common multiple of z(-7) and r(4).
402
Let b(n) = n**3 - 9*n**2 + 7*n + 10. Let a be b(8). Suppose 239 = -2*z - 5*f, 4*z + 142 = 3*z + a*f. What is the least common multiple of (3/(-9))/(2/z) and 20?
220
What is the lowest common multiple of -55 + 4600 + (3/(-2))/((-3)/10) and 273?
13650
Let y = -6099 + 6127. Suppose -5*b + 16 = -44. What is the smallest common multiple of b and y?
84
Suppose h + f - 268 = -3*f, f = 5*h - 1445. Calculate the smallest common multiple of 264 and h.
3168
Let l = -35309/710 - -499/10. Calculate the common denominator of ((-27)/((-891)/55))/((-5)/(10/(-3))) and l.
639
Let o = 4080 + -4062. Calculate the smallest common multiple of 549 and o.
1098
Let k = 7894 - 828839/105. Find the common denominator of (784/(-44))/((-6)/1) - 3 and k.
1155
Suppose 3*j - 5*j - n = -3, -5*j + 4*n = -40. Let v be 15/(-4)*(320/(-12))/j. Suppose -11 - v = -3*t. What is the smallest common multiple of 14 and t?
84
Find the common denominator of (-1806)/1362 + -4 + 128/24 and -65/189.
42903
Suppose 0 = -65*a + 8876 + 5691 + 383. What is the least common multiple of 9 and a?
2070
Calculate the common denominator of 19104/(-9856) - ((-8)/(-14))/(-4) and -25/112.
1232
Suppose 16 = 2*g + 48. Let k(t) = -2*t - 29. Suppose -11*w + w + 50 = 0. What is the least common multiple of w and k(g)?
15
Calculate the smallest common multiple of (390 + -273)*((-120)/9)/(-4)*27 and 10.
10530
Let g = 483 + -478. Find the common denominator of (-30)/4*g/6 and 109/140.
140
Let n(r) = 200*r - 982. Let y(k) = 40*k - 196. Let u(s) = 3*n(s) - 16*y(s). Calculate the smallest common multiple of 25 and u(3).
350
Suppose -3170 = 3*p - t, 11*p = 12*p + 3*t + 1060. Calculate the common denominator of p/(-90) - (-80)/(-180) and 1/10.
10
Let y be (122/(-24))/((-63)/(-476334)*-20). Let n = y + -9601/5. Find the common denominator of n and 149/24.
168
Find the common denominator of -70/1137 and 5/((-660)/904) + (-36)/(-4).
12507
Let d be (10 - 8) + (2 - -1). Suppose 2*j = d*j - 12. Calculate the lowest common multiple of j and 12/28 + (405/(-35))/(-1).
12
Let b = -9 + 33. What is the smallest common multiple of 6 and b?
24
Suppose 3*o = 7*t - 5*t - 4481, -3*o + 4*t - 4477 = 0. Let a = 26899/18 + o. Calculate the common denominator of a and (-532)/6*(-1)/(-12).
18
What is the common denominator of (-50)/900*((-824)/344 - (-1 + -2)) and -26/33?
4257
Let f = 726 - 663. Suppose 3*r + g = -f + 1178, 0 = g - 5. What is the lowest common multiple of 18 and r?
3330
Let f(m) = 9*m - 23. Let u(b) = -26*b + 66. Let s(v) = -11*f(v) - 4*u(v). What is the smallest common multiple of 2 and s(4)?
18
Let m be (-10)/(-75)*1803 + 4/(-10). Suppose -17*r + m = 87. Find the common denominator of 55/18 and 182/(-30) - (r + -12).
90
Let o be (-16)/16 + (3 - (-1 + 3)). Suppose -3*a + 37 + 32 = o. Find the common denominator of -1 - -6*a/16 and -103/28.
56
Let s = -8900559/6370 + 6986/5. What is the common denominator of s and -8/1365?
19110
Find the common denominator of 4/20*((-12257)/(-70))/(-17) and (-516)/(-16)*(-1)/(-6).
200
Suppose 4*g + 6 + 14 = 0. Let p(c) = 2 - 6*c + c - 1 + c. Calculate the smallest common multiple of p(g) and 21.
21
Let c = 95 + -35. Calculate the common denominator of (-1496)/c*(-1)/4 and 48/27 - (-5)/(-10).
90
Let z = -7838 - -7859. Calculate the smallest common multiple of 981 and z.
6867
Let u(g) = -20*g + 296. Let x be u(15). Calculate the common denominator of (-16)/56 - (x - (-881)/126) and 49/108.
108
Let q = -9484 - -455141/48. Calculate the common denominator of q and -35/768.
768
Suppose -3*w = -4*i - 6, 7*w - 4 = 5*w - 3*i. Calculate the common denominator of (-8715)/4140 - 4/(w/(-1)) and -21/4.
276
Suppose 1803 = 4*y - v - 663, y - 645 = 5*v. What is the smallest common multiple of y and 115?
14145
Let i be (-1 - 10/(-8))/(322/(-3194631)). Let u = i - -39343/16. Let p = u + 171/7. Calculate the common denominator of -75/8 and p.
16
Let b be 6/9 - 1572/(-144). Let d = b + -47/4. Calculate the common denominator of -149/60 and d.
60
Suppose 8 = h - 0*o + 3*o, -4*h + 23 = 3*o. Suppose -12*b + 595 = h*b. What is the least common multiple of 35 and b?
35
Suppose 246 = 39*r - 300. Let y = -3 + 1. Let n = y + 3. Calculate the least common multiple of n and r.
14
Let z = 74 - 69. Suppose -16 = z*r - 2*b - 2*b, -r - 4 = -b. Suppose r = 3*s - 29 + 5. What is the smallest common multiple of 106 and s?
424
Let g be ((-478)/6)/(294/(-189)). Let s = g - 8151/161. What is the common denominator of s and -5/8?
184
Find the common denominator of -18/7 and 10/(-5) - ((-88)/210 + -2).
105
Let s be (2/(-3))/(15/(-45)). Suppose -s*w - 108 = 36. Calculate the least common multiple of w/(-2) + (4 + -5)/1 and 2.
70
Let i = -94 - -90. Let m be i/4 + 6980/7076. Let k = m + -101282/97295. Find the common denominator of k and 57/10.
110
Let u = 615 + -615. Suppose -5*g - 5*i + 575 = 0, u = -g - 4*i + 8*i + 100. What is the least common multiple of g and 128?
896
Suppose -77 = -4*t + 67. Suppose -2*o + 5 = -5*x - 34, -2*o + 4*x = -t. Calculate the lowest common multiple of o and 264.
264
Suppose 4*y - 2*y + 14 = 0. Let b = y - -9. Suppose -3*v - 72 = -0*a - 4*a, -2*a + 36 = b*v. What is the lowest common multiple of a and 10?
90
Let x = 154 + -160. Calculate the common denominator of -115/6 and (-57)/(-10)*(-1)/(x/(-8)).
30
Let t = 682 - 484. Calculate the smallest common multiple of 33 and t.
198
Let r be (-1 + 141*-1)/(10/(-35)). Let s = 25349/2 - 12159. Let i = s - r. Calculate the common denominator of i and 57/32.
32
Let o = -109 - -217. Suppose p = 2*h - 226, 2*p = 214 - 218. Let k = h - o. What is the least common multiple of 3 and k?
12
Suppose -84 = -3*t - 33. Let h be (-1 + -1)*(3 - (5 + 3)). Calculate the least common multiple of t and (-4 - h/(-2)) + (-6)/(-2).
68
Let t(a) = 238277*a - 15. Let b be t(-5). Let o = -95302587/80 - b. Let c = 613/5 - o. Find the common denominator of c and 101/16.
16
Let u be (-1)/(-3)*(1 + -5 + 148). Find the common denominator of 7/27 and ((-296)/u)/(27/6).
27
Suppose 0*t + 4*t = 2*n + 1802, t = -5*n + 445. What is the lowest common multiple of t and 250?
2250
Let r = 106114058551/23338 - 4546836. Find the common denominator of r and 63/4.
46676
Let g = 12 - 6. What is the smallest common multiple of g and 13 - (7 + 3 + -18)?
42
Let m(p) = 469*p + 8. Let i be m(-6). Let w = 101129/36 + i. Find the common denominator of w and ((-804)/(-160))/((-828)/690).
144
Calculate the lowest common multiple of 21 and 14/(((-5)/9)/((-250)/100)).
63
Suppose 14*s + 10 = 19*s. Suppose 21 = 4*k - f, 7 = -k - s*f + 19. Suppose 0 = -3*n + 36 + k. Calculate the lowest common multiple of 2 and n.
14
Let a = 20908 + -20828. Suppose y + 0*y = 72. Calculate the lowest common multiple of a and y.
720
Let s = -884987137/42394 + 229628/11. What is the common denominator of s and 107/574?
26978
Let o = -60 + 150. Let y(j) = -j**3 - 11*j**2 + 32*j + 357. What is the lowest common multiple of y(-12) and o?
1170
Find the common denominator of 31/99 and (-5161)/1170 - -2*(2 + 6/(-12)).
990
Suppose 1188 = 5*p - 3*t, 105*p - 1182 = 100*p + 2*t. Calculate the smallest common multiple of 108 an