ulate the smallest common multiple of 38 and 4 - (-444)/(-114) - (-13650)/285.
912
Suppose 5*b = g - 54 - 35, -5*g + 467 = -3*b. Let i = -21389 + 21391. What is the lowest common multiple of i and g?
94
Let k = 246055 + -1235914/5. Let n = k + 67577/60. Calculate the common denominator of n and -61/18.
180
Let p = 2969847/70 + -42428. What is the common denominator of p and -5 + (-1020)/(-350) - 16/(-8)?
70
Let m = -90/11 - -349/44. Calculate the common denominator of m and -11/133.
532
Suppose -2*r = 5*o + 16, -2*r + 4*o = 3*r + 7. What is the lowest common multiple of 12 - (r - -4) - 2 and 117?
117
Let v = -13733/6 + 2307. Let c = v + -221/6. What is the common denominator of c and (1/(-22))/(282/(-60) + 5)?
33
Let f = -19 - -3. Let v = 30 - 18. What is the lowest common multiple of 2*((-10)/f)/((-1)/(-4)) and v?
60
Suppose 0 = 26*m - 24*m - 162. Let v = 1369/462 - 185/33. What is the common denominator of -2*(-3)/m*(-534)/(-8) and v?
126
Suppose -4*w = -55*w + 1479. What is the least common multiple of 261 and w?
261
Let k(f) = -4*f**2 - 39*f + 10. Let b(h) = -11*h**2 - 118*h + 30. Let j(y) = -2*b(y) + 7*k(y). What is the smallest common multiple of j(-6) and 56?
112
Suppose 189*n - 173*n = 144. Suppose 5*f - 425 = n*d - 14*d, 3*d = 4*f - 375. What is the lowest common multiple of f and 72?
360
Let q = -48419 - -1307369/27. Calculate the common denominator of q and (-16)/5 + 6/4.
270
Find the common denominator of -27/344 and 102/(-105) + (-8 + 1)/70.
2408
Let q be ((-189)/2)/(1*2/(-4)). Find the common denominator of 101/144 and 295/(-231) + 81/q.
1584
Let d = 497221/138 + -3603. What is the common denominator of d and -85/46?
138
Suppose 0 = 5*d - 19*q + 16*q - 541, 5*q = -5*d + 565. Calculate the smallest common multiple of 990 and d.
990
Let p be (-4)/(-6) + 200/(-30). Calculate the common denominator of 42/(-5) + (p - (-196)/35) and 51/11.
55
Let a = -3/1730 + -6832/865. Find the common denominator of a and 21/730.
730
Suppose -9 = 2*r - 17. Suppose -4*l = 20, q + r*l = -4*q + 10. Calculate the lowest common multiple of -3*2/10 - (-702)/270 and q.
6
Let x = -129488 + 3884743/30. Find the common denominator of x and (-292)/(-63)*2/8.
630
Let f = -810 + 718. Find the common denominator of 2185/f*1/116*-2 and -113/12.
696
Calculate the common denominator of (-1054)/13764*3/(-20)*6 and -65/8.
1480
Let q be (1/(55/(-12)))/(-22). Let n = q + 7193/67760. Let j = -32/7 - n. Calculate the common denominator of j and 113/6.
48
Let z(d) = -40*d + 1369. Calculate the least common multiple of 517 and z(26).
3619
Suppose -24 = 4*g - 192. Suppose 163*v - 569 - 2631 = -37*v. Calculate the lowest common multiple of g and v.
336
Let k(m) = m**2 + 3*m - 75. Let y be k(7). What is the common denominator of 8 and (-81995)/(-14322) + y + -1?
462
Calculate the common denominator of -11/144 and 0 + (-79)/(-18)*-1*6/48.
144
Let a = -270 + 214. What is the common denominator of 32/21 and (0 - (-6)/a)/(-51 - -54)?
84
Suppose 10062 = -3*s + c, -4*s = -5*c + 4*c + 13416. Let f = -23519/7 - s. Calculate the common denominator of -37/9 and f.
63
What is the common denominator of 21/6842 and -3 - (-313608)/(-192)*(-16)/8708?
47894
Let o = 711023/62 - 11467. What is the common denominator of 63/(-48)*50/15 and o?
248
Let r = 883229606/549 - 1608797. Let b = -5833/21 + 280. Find the common denominator of b and r.
3843
Let s(m) = 8*m - 19. Let f(u) = -u**3 + 5*u**2 + 6. Let n(c) = -c - 1. Let k(v) = -f(v) + 3*n(v). Calculate the smallest common multiple of k(6) and s(5).
63
Let q = 85747 - 943935/11. Let v = q + 2891/33. What is the common denominator of v and ((-2)/17)/(18/333)?
51
Let g = -89 + 53. Let y be -2 + (-3 + g)*-1. Suppose -4*m - q + 7 = -y, 5*q - 22 = -2*m. What is the smallest common multiple of m and 23?
253
Let k = 1195079/100 + -11952. Calculate the common denominator of k and 121/700.
700
Let c be (-4 - -8 - 2)/(6/21). Suppose c - 3 = 2*u. Suppose -u*p + 19 = 15. What is the smallest common multiple of 7 and p?
14
What is the common denominator of (((-2937)/(-120))/(-11))/(9/(-12)) and (-4 - (-147)/(-6)) + 2?
30
Suppose 2*c - 132 = -5*q + q, -5*c + 306 = 2*q. Calculate the common denominator of -67*(3/9 + 0) and -4*c/(-8)*(-4)/(-18).
3
Let q = 7 - -15. Suppose 4*l + q = 5*w - 22, -2*w + 17 = -l. What is the smallest common multiple of w and 2?
8
Calculate the common denominator of 8/7 + 13 + (-445)/35 and -127/700.
700
Let c = -574/9 - -1217/18. What is the common denominator of c and 85/1188?
1188
Let n = 16 - 13. Suppose -n*x - 30 = -2*d, 3*d - 3*x - 22 - 29 = 0. What is the least common multiple of d and (-1184)/(-96) + (-1)/3?
84
Let p be 1 - (1 + 3/4054). Let j = -222991/28378 - p. Let n = 367234 - 1101758/3. What is the common denominator of n and j?
21
Suppose -1053 = 3*c + 1722. What is the common denominator of (0 - 4) + c/(-450) and -32/3?
18
Calculate the lowest common multiple of 1536 and ((82/(-10) - -1) + 0)*(-85)/51.
1536
Suppose 40*y - 3602 = 43*y - 2*r, -5 = -5*r. Calculate the common denominator of -91/96 and 25/20*(-130)/y.
96
Let k = -252 - -251. Let o(b) = 11*b**2 - 6*b - 4. Calculate the least common multiple of o(k) and 7.
91
Let z(y) = -y**3 - 39*y**2 + 1265*y - 75. Let g = 44 - 20. What is the lowest common multiple of g and z(21)?
120
Let y(n) = -7*n**2 + 29*n + 92. Let x(g) = 2*g**2 - 2*g - 2. Let b(a) = 3*x(a) + y(a). What is the lowest common multiple of 5 and b(26)?
40
Find the common denominator of -2 - (-4 - 0 - (10836/10955 - 3)) and 23/7.
10955
Let k = -204 + 217. Suppose k*l = 29 + 88. What is the lowest common multiple of 60 and l?
180
Let y = -337883/455576 - 102/5177. What is the common denominator of y and 4/10*235/32?
176
Suppose -4*x - y + 167 = 0, 4*y = -6*x + 9*y + 257. Let c(i) = -6*i - 6. What is the least common multiple of c(-8) and x?
42
Let y = -438 + 334. What is the least common multiple of 2 and y/26 - -20*2?
36
What is the common denominator of (-7410)/1563705*9/6 and 47/162?
5346
Suppose 2*t - s + 63 = 3*t, -6 = -3*s. Find the common denominator of (-1 + -4)*(-24)/(-10) and t/(-8) + 2/4.
8
Let m be 3*(-176)/84 + 4/14. Let x(g) = -g**2 - 14*g - 34. What is the smallest common multiple of 8 and x(m)?
56
Suppose s + 11*s = 768. Suppose -3*a = a - s. Suppose -2*r = -j - 7, a = 4*r - r + 4*j. Calculate the lowest common multiple of 3 and r.
12
Let y(w) = w**2 + 23*w + 56. Let i be y(-20). Calculate the lowest common multiple of ((-1)/(-2))/(i/(-560)) and 4.
140
Let s = 8925/8 - 1114. Suppose -40362 - 39278 = -8*w. Calculate the common denominator of s and 2/(-7) - w/462.
24
What is the common denominator of (-85)/561*(-126)/20 and 101/80?
880
Let l be (-50)/12 - (-9)/54. Let w be 1 - (l + 5 - (3 - 1)). What is the common denominator of (-8)/30 + w/(-24)*2 and -62/21?
210
Let x(q) = 2*q**2 + 273*q + 810. Let u(j) = -j**2 + 5*j + 2. Calculate the least common multiple of u(4) and x(-3).
18
Let c = -50450279064/5 - -3566229326387223/353440. Let f = 11/2209 - c. What is the common denominator of 51/14 and f?
1120
Let p(u) = -6*u**2 + u - 12. Let t be p(3). Find the common denominator of -52/15 and (-2427)/(-252) + (-18)/t.
60
Suppose 5*g - g = 108. Suppose 0 = -4*k + 5*u + 49, 26 = 4*k + 4*u - 14. Suppose 4*o = 47 - k. Calculate the least common multiple of g and o.
27
Let c(o) = -19*o - 3. Suppose 2*z = 5*a + 50, 68 = 2*z - 3*a + 10. What is the lowest common multiple of z and c(-2)?
35
Let u(w) = -93*w + 19. Let h be u(-4). Let r = h + -385. Calculate the least common multiple of 18 and r.
18
Let k(z) = 2*z**3 - 53*z**2 - 13*z + 16. Let g be k(27). Suppose 3*u - 802 = -g. What is the lowest common multiple of 16 and u?
272
Calculate the common denominator of 4/11 and ((-770)/84)/((-794)/8 + (-3)/12).
6567
Let u(h) = -277*h - 1. Let q be u(-2). Let v = q - 1075/2. Suppose -71*a + 40*a - 774 = 55*a. Calculate the common denominator of v and a.
2
Let f = 68795/12 - 5721. Let h = -92 + 196. What is the common denominator of (-47)/(-3)*(3 - h/32) and f?
12
Let i = -116 + 116. Suppose 0 = 3*f - i*b + 2*b - 130, b = -5*f + 205. Calculate the least common multiple of f and 16.
80
Let x be -42*((-6)/(-3))/2. Let m be (-48)/(-26) + -2 - 28920/(-52). Find the common denominator of 87/4 and m/(-42) + 18/x.
12
Let