uppose c*r - 6*r + 12 = 0. Suppose r*k = -8 + 38. Calculate the least common multiple of k and 18.
90
What is the least common multiple of 22 and 1959 - 11*(-140)/(-220)?
21472
What is the lowest common multiple of 8 and 2 - (-41116)/10 - 424/(-1060)?
16456
What is the common denominator of 0 + 3 + 441416/(-142784) and -23/76?
14744
Suppose 0 = 5*a + s - 87503 + 11960, -a + 2*s + 15113 = 0. Let f = -151213/10 + a. Calculate the common denominator of -68/75 and f.
150
Let c be (-4)/(-10) - (-1 + 84/(-15)). Suppose -t + 3*k = -26 + c, 65 = 5*t - 5*k. What is the smallest common multiple of 5 and t?
10
Suppose 38*g - 47 = 33*g - w, 2*g + 3*w - 11 = 0. What is the least common multiple of g and 244?
1220
Let u = 11033331088/35105 - 16246546760010754/51689760465. Let m = -204/11971 + u. Let s = -14/41 - m. What is the common denominator of s and -61/18?
18
Let u = -4846 - -4876. What is the lowest common multiple of 36 and u?
180
Suppose 2*n - v - 3048 = 0, 0 = -5*n + 7*v - 3*v + 7629. Calculate the lowest common multiple of n and 1014.
3042
Let d = -25752 - -25762. Calculate the least common multiple of d and 56066.
280330
Let y = 179 - 455. Let s = 304 + y. Calculate the smallest common multiple of 126 and s.
252
Let j = 1204276 + -3367155593/2796. What is the common denominator of j and 121/12?
2796
Suppose 4*i - i - 969 = -14*i. Calculate the lowest common multiple of i and 684.
684
Let f(j) = -3*j**2 + 116*j - 353. Let r(a) = a + 45. What is the lowest common multiple of r(0) and f(4)?
315
Let c(t) be the first derivative of 2*t**3/3 + 14*t**2 - 9*t - 46. What is the smallest common multiple of 11 and c(-15)?
231
Find the common denominator of 43/(-418)*((-168)/(-16) + (-99)/9) and -27/95.
4180
What is the common denominator of (-154)/(-12) - (-1 - 0) and ((-7)/((-49)/(-8)))/((-288)/176*-11)?
126
Let c(w) = 2*w**2 + w + 3. Let i be c(3). Let j = 31 - i. Suppose -v + 11 = 3. What is the least common multiple of j and v?
56
Let p(k) = -k**2 - 13*k + 35. Let z be p(-15). Suppose -4 = z*f - 29, -5*b - 4*f + 400 = 0. Find the common denominator of 122/16*(b/12 - 6) and 23/33.
264
Let l be ((-341880)/25)/8*(-2)/8. Let h = -423 + l. What is the common denominator of -27/20 and h?
20
Suppose b + 11908 = 5*c, -b = 258 - 260. Calculate the least common multiple of c and 6.
2382
Let i be (-1 + 3)*135/(-10). Find the common denominator of 13/24 + ((-63)/i)/(-7) and -89/18.
72
Let w be 4*8/(-16)*1/(-1). What is the common denominator of 37/12 and (-3118)/(-632) - (6 + w/(-2))?
948
Suppose 242*u - 243*u + 5 = 0. What is the common denominator of 131/70 and 1083/330 - (-10)/(-55) - u?
70
Let t(u) = u**3 - 65*u**2 - 112*u + 94. Calculate the lowest common multiple of t(67) and 32.
1568
Suppose q - 12 + 4 = 0. Let u be (4 - 3)/((-3)/(-888)). Suppose -4 = 295*x - u*x. What is the least common multiple of x and q?
8
Suppose 8*q + 322 = 31*q. Suppose 0 = 3*i - 45 + 21. Calculate the smallest common multiple of i and q.
56
Let y = 3724 - 37279/10. Calculate the common denominator of -19 + 15 + 774/(-72) and y.
20
Suppose 13 + 5 = 9*i. Suppose -i*a = -18 - 0. What is the smallest common multiple of a and 185?
1665
Let y = -2551/952 + -225/238. What is the common denominator of y and (-2)/(-5) - 273/370?
296
Suppose 2647 = 4*l + 5*u + 2321, -l = -3*u - 90. What is the smallest common multiple of l and 476?
1428
Suppose 43 = 5*x - 87. Suppose -37 + x = -11*m. Calculate the smallest common multiple of 50 and m.
50
Let l be (-3)/((-42)/4) + 293327/31584. Let u = 19/96 - l. What is the common denominator of u and -45/44?
88
Let u be 2/1 + -4 + (-12504)/68. Let z = u + 90790/493. What is the common denominator of z and 49/9?
261
Let k(o) = 50*o - 3. Let c be k(-1). Let f = 53 + c. Let b = 24 + f. What is the least common multiple of 30 and b?
120
Calculate the common denominator of (-2050)/(-792) + (-168)/1512 and (436/144)/((-1)/(-3)).
132
Suppose 6*n = 14*n - 80. Suppose 5*a - 15 = n*a. Calculate the smallest common multiple of 3 + (4 + a)/(2/8) and 3.
21
Calculate the least common multiple of (0 - -1)*(-240)/(-40) and 1696.
5088
Let m(y) = y + 13. Let v be m(-11). Suppose v*h + 10 = 0, 4*w + 5*h = 5*w - 28. Suppose w*c + 22 = 4*c. What is the smallest common multiple of c and 20?
220
Suppose -11*f = f - 36. Find the common denominator of ((-2)/4)/((-54)/26 + f) and 9/22.
264
Calculate the least common multiple of 36 and 12/1*95/(-3)*9/(-60).
684
Let a = 15 + -8. Let v = a + -31. Calculate the least common multiple of 10 and -30*(3 + v/9 - 1).
20
Let n = -686/71 - -56704/5325. Calculate the common denominator of 33/5 and n.
75
Let x(v) be the second derivative of -v**5/20 + 2*v**4/3 + 5*v**3/3 + 7*v**2/2 + 56*v. What is the least common multiple of x(9) and 44?
176
Suppose 0 = 21*u - 107369 + 14969. What is the smallest common multiple of u and 144?
39600
Suppose 27*m - 37*m - 400 = 0. What is the common denominator of ((-146)/(-2))/(0 - 66) and 550/m - (-1)/2?
132
Let c = -11889/44 - -272. Find the common denominator of c and 7/262.
5764
Let x = -1681 + 14968/9. Let q = x + 137/6. Find the common denominator of -75/28 and q.
252
What is the common denominator of 173/2100 and 159/(-530)*(-427)/147?
2100
Suppose -104*t = -19*t - 5355. Calculate the smallest common multiple of 6318 and t.
44226
Suppose -629 + 681 = 3*i - 4*a, -i + 24 = 2*a. Let k(u) = 9*u - 1. What is the smallest common multiple of i and k(1)?
40
Let b(a) = -207*a + 18. Calculate the smallest common multiple of 18 and b(0).
18
Calculate the lowest common multiple of 1602 and ((-243)/18 + 13)*-36.
1602
Let c = 1154/199 + -438875/78804. Find the common denominator of c and -71/231.
2772
Calculate the common denominator of 6/(-40)*(-305775)/120285 and 71/825.
9900
Calculate the common denominator of -143/744 and -16 - (-203609)/6324 - 16.
744
Suppose 4*o - 24 = 2*h, h = -o + 4*o - 16. Let s be -3 - 9/(18/h). What is the common denominator of -25/6 and (s + 0)*629/(-17)?
6
Calculate the common denominator of 94/18 + (-312)/468 and -44/5895.
5895
Let w = 99/109 + -15623/4360. Calculate the common denominator of 508/80 - (-1)/4 and w.
40
Find the common denominator of 103/150 and (146*16/(-96))/494.
37050
Suppose 2*w - 461 = 5*z, -5 - 1 = 2*z. What is the least common multiple of 12/11*968/176 and w?
1338
Let p = 116/17 - -400/51. Find the common denominator of p and 64/(-10)*10/114.
57
Let w = 133086 - 10514262/79. Let h = 2001/1738 + w. Find the common denominator of h and (-4)/(-8) + (40/9 - -1).
198
Let n be 220/32*2 - (-1)/4. Suppose -n*b = -15*b + 6. What is the least common multiple of 108 and b?
108
Let t(w) be the first derivative of 2*w**3/3 + w**2/2 - 8*w + 37. What is the smallest common multiple of t(-4) and 44?
220
Let z(v) = 8*v**2 - 18*v - 30. What is the lowest common multiple of z(-2) and 38?
38
Find the common denominator of 16/21 - 42/98 - (-764)/(-1140) and -22/25.
475
Let m = -3/8416 + -256673/42080. Find the common denominator of -59/224 and m.
1120
Let p = -138 - -345. Let t be ((-1)/(p/151509))/(-5 + -115). Let h = -1/1656 - t. What is the common denominator of h and -113/10?
10
Suppose 3*i + 0*l + 4*l = -422, 2*i - 2*l = -258. Find the common denominator of (-3)/(-9)*3/((-12)/i) and -71/24.
24
Let y be (22/5 - 28/70)/2. Suppose -y*s = -4*s - 4, 3*m + 5*s = 11. Calculate the smallest common multiple of m and 40.
280
Let h = 4 - 0. Suppose -2110 = 5*t + 10*q - 5*q, -3*q + 434 = -t. Let g = 430 + t. Calculate the least common multiple of g and h.
20
Let c(y) = -4*y**3 + y. Let m be 56 - ((-26)/(-8) + 5/(-20)). Suppose -3*q + 4 = -q, 4*q - m = -5*t. Calculate the smallest common multiple of t and c(-2).
90
Let n = -247228371/16 + 15445546. Let l = n - -6231. Let z = 943/36 + 11/36. Calculate the common denominator of l and z.
16
Let b be (-126)/(-8) + 1/4. Suppose 0 = -2*r + 2*w - w + 1423, 0 = 5*r - 2*w - 3556. Calculate the common denominator of -75/16 and r/8*b/120.
48
Suppose 15*s = 35*s + 6240. Find the common denominator of 4/(-26) - (-1)/(s/(-5092)) and -29/8.
24
Suppose 5*w + 92 + 153 = 0. Let a be (w/(-14))/((-1)/(-12)). Calculate the lowest common multiple of (-6)/(-4) - a/(-28) and 10.
30
Let m be (-6)/8 - 306808/(-80). Suppose 5*z - 19210 = 2*t + 3*t, 2*z + t = 7672. Let