 + 6247. Calculate the least common multiple of 18 and n.
31356
Let f(g) = 183*g**2 - 12*g - 4. Let u be 2*(-7)/(35/20). Let w be f(u). Let o = -141773/12 + w. What is the common denominator of -55/21 and o?
84
Let v = -4197 + 25193/6. What is the common denominator of -43/1221 and v?
2442
Let m = 32547/1562 + -1840731/71852. Let b = m - -8/253. Let g = 168637/18 - 9375. Find the common denominator of b and g.
36
Let i be 134/5 - (18/(-15) + 1). Let c = -19 + i. Let f = c - -19/3. What is the common denominator of -131/12 and f?
12
Calculate the common denominator of 9027/113220 - (-2)/5 and 14/481.
1924
Let t(a) = -8*a + 4. Let o be t(0). Calculate the common denominator of -133/6 and (-3)/((-18)/o)*469/(-42).
18
Find the common denominator of 37/1855 and ((-18156)/(-504) - 36)/((-8)/(-54)).
14840
Calculate the least common multiple of 78 and (31 - 0)*(-6 + 8).
2418
Let q = -8 + 29. Suppose -5*f = 11 - q. Calculate the least common multiple of 138 and f.
138
Calculate the lowest common multiple of 432 and 868/3 - ((-3)/(-1))/(45/20).
864
Let j(n) = n**2 - 5*n - 28. What is the lowest common multiple of j(-7) and (55/(-20))/(6 - (-2022)/(-336))?
616
Let t(w) = 7*w**3 - 2*w**2 - 3*w - 8. Let f be t(4). Let h be 3 + (-2638)/f + 3. Let z = h + 3/11. Calculate the common denominator of z and -107/40.
360
Suppose s = 16*s + 94965. Let j = -107569/17 - s. Let t = j - 151/408. What is the common denominator of t and -43/30?
120
Let x be 39/9 + 6/9. Suppose -216 = i + 4*i + 3*d, -5*i + x*d = 240. What is the common denominator of -46/7 and ((-132)/i)/(1/(-3))?
35
Let a(w) = -133*w**2 + 139*w - 2. Calculate the smallest common multiple of a(1) and 6/((-1 - -2)*1).
12
Let j(p) = -17*p**2 - 5*p + 109. Let q be j(6). Let d = 576 + q. Calculate the lowest common multiple of d and 23.
989
Let a = -24003/4 + 250773/44. Let h = a - -311445/1034. Calculate the common denominator of 65/22 and h.
1034
Let h = 45679568/4755 + -28820/3. What is the common denominator of h and -54/25?
7925
Suppose 8803*g - 8779*g = 142272. What is the smallest common multiple of g and 2470?
29640
Let b(w) = -w**3 + 11*w**2 - 2*w - 1. Let m(i) = -i**3 + 12*i**2 + 34*i - 77. What is the lowest common multiple of m(14) and b(5)?
973
Suppose 2*y + 3*l - 8 = 0, -3*y + 2*l - 5*l = -12. Suppose 0 = -12*i + 11*i + y. Suppose -2*v = -i - 10. What is the smallest common multiple of v and 1?
7
Suppose 6*j + 9 = 195. Suppose -334 = -j*d + 38. Let o(g) = -g**2 - 11*g + 2. What is the smallest common multiple of o(-7) and d?
60
Calculate the common denominator of -35/102 and (-20)/(-2) - (-7 + 9) - 24204/3192.
13566
Let d(w) = 27*w**3 - 2*w**2 - 5*w + 5. Let o be ((-2)/10)/(18/(-90)). Calculate the least common multiple of 60 and d(o).
300
Suppose -140*u + 820*u - 6566 = -258*u. Let d = -159 + 340. Calculate the smallest common multiple of d and u.
1267
Calculate the lowest common multiple of 498 and 3*10/(-150) + 183/15.
996
Suppose 6*p = -5*p + 154. Let b(f) = f**3 - 15*f**2 + 13*f + 20. Let a be b(p). Suppose -30 - a = -3*m. Calculate the least common multiple of 48 and m.
48
Let q(a) = 67*a**2 - 11*a + 9. Let m be q(5). Let f = m - 3193/2. Let u = 100639/10 + -10054. What is the common denominator of u and f?
10
Let n = -9697 - -10373. Calculate the least common multiple of 117 and n.
6084
Let f = 221/35 - 3028/525. Let u = 44/75 + f. Calculate the common denominator of 16/375 and u.
375
Let l = 31843/1450081 + -17/941. Let u = -121763/6164 + l. What is the common denominator of u and -55/6?
12
Let t = 28613 + -858527/30. What is the common denominator of t and -71/114?
570
Let i(j) = 4*j**2 - 76*j + 852. Calculate the lowest common multiple of i(14) and 572.
572
Let j(o) = -5*o**2 + 7*o + 6. Let n be j(6). Calculate the common denominator of 2/(n - 0) - (-170)/935 and (38/(-120))/(1/(-9)).
60
Suppose -144 = -268*o + 272*o. Let h be o/(-138)*82/(-5). Let u = 30733/5060 + h. Find the common denominator of u and -61/4.
44
Let q(w) = 2*w**3 + w - 42293. Let b be q(0). Let p = -81160269/1919 - b. Let h = p + 90217/23028. Find the common denominator of -53/20 and h.
60
Let d = 28105 + -27415. What is the smallest common multiple of d and 21?
4830
Find the common denominator of (72/252*(-938)/(-30))/(4752/55) and 3/32.
2592
Let w = 5491163/160 + -34320. Find the common denominator of 28/25 and w.
800
Let p(n) = 25*n - 2. Let f be p(2). Suppose -f = -4*b - 16. Let c = -20 - -30. What is the lowest common multiple of b and c?
40
Let o(m) = -3*m**2 + 168*m + 35. What is the least common multiple of o(56) and 2/(-4) - ((-1086)/12)/1?
630
Let z be (-472)/295*(-1)/(4/(-330)). Calculate the common denominator of 59/4 and ((-1661)/z - 12)*414/196.
56
What is the common denominator of (3 + (-2642)/504)/((-895)/537) and -109/572?
12012
Let u = -15/49096 + 169323/1227400. Find the common denominator of u and -46/85.
850
Let f be (-12)/(-132) + 8586/55. Let b = f + -42479/270. Find the common denominator of 41/22 and b.
594
Let f be (4 - 1) + (4 - (3 + -24)). Let r be (2/1)/(f/(-42)). Calculate the least common multiple of 6*(r + 35/10) and 36.
36
Let h(n) = 2*n**3 + 26*n**2 + 63*n - 25. Suppose -4*q + 39 = -0*q - 3*t, -2*t + 43 = 5*q. What is the smallest common multiple of q and h(-8)?
333
Let w = 32781/46 + -713. What is the common denominator of -43/114 and w?
2622
Let h = 180 + 38. Calculate the common denominator of -59/6 and (37/36 - 1)/(1/h).
18
Let r = -11/103138 - -1275544503/206276. Let p = r - 6185. What is the common denominator of p and -76/3?
84
Let w be (7/(-30))/((-4)/76690). Let l = w + -4464. Let v = -151591/70 + 2166. Find the common denominator of l and v.
420
Calculate the common denominator of -3 - (-4016)/676 - 3 and 3/(9/166)*1875/97500.
1014
Let d = 1/392099 - -44306965/87045978. What is the common denominator of d and 139/456?
16872
Suppose 5*r + 92498 - 519813 = -5*q, 2*q = 2*r - 170910. Let s = r + -7691201/90. Find the common denominator of s and -16/135.
270
Let w = 55 - 28. What is the lowest common multiple of w and 9 + (-12 - -8 - 3) - -4?
54
Suppose 0 = -4*f - 3*o + 169, 7*o - 3*o = 5*f - 219. Let y = -31 + f. Calculate the smallest common multiple of (2 + -1)*1*21 and y.
84
Suppose 3*j - 116 = 4*s, 4*j + 70 + 106 = -5*s. What is the smallest common multiple of 9 and 10*8*s/(-40)?
576
Suppose 15*j = -866 + 3116. Calculate the common denominator of -17/20 and -2 - ((-245)/j + 4).
60
Suppose -5*i + 17 = -8. Suppose -15*b + 1041 = -10*b + 3*m, -4*b = -2*m - 846. Let k = b - 188. Calculate the lowest common multiple of k and i.
110
Suppose 5*p = 5*k + 15, -6*k + 3 = -2*p - k. Calculate the smallest common multiple of p and 4 - (-100 + 1/4*0).
312
Suppose -3*m - c - 15 = 0, -2*m - 2*c - 18 = m. Calculate the common denominator of -137/30 and m/(-10) - (-779)/(-60).
60
Let r = 5899201758178/7755 + -760696530. Let j = r - 1/2585. Find the common denominator of j and 70/69.
69
What is the common denominator of (8621/(-16555) - 45/(-105))/((-12)/(-15)) and -41/4?
1892
Suppose 66*u = 220 + 374. Suppose 2*s = s - 4*b + 115, 3*b = 12. Calculate the smallest common multiple of s and u.
99
Suppose d - 9 = -12. Let j(s) be the second derivative of -4*s**3/3 - 5*s**2 + 26*s. Calculate the lowest common multiple of 54 and j(d).
378
Suppose 2*n - n - 4*z = -22, 4*n = -2*z - 70. Calculate the common denominator of -29/4 and n/117 - (957/(-52) + 1).
4
Let g be ((-5722)/78)/((-5 - 8) + 30). Let r = -4/221 + g. What is the common denominator of r and 81/4?
12
Let l be -2 - (98/(-51) + 1/6). Let g = l - -2191/408. Find the common denominator of 10 and g.
8
Suppose 0 = -10*a - 31*a + 3*a + 760. Calculate the least common multiple of a and 380.
380
Calculate the least common multiple of 869 and (-775)/(-93) - 1/3 - (-75 + 4).
869
Let y = -20899 + 21029. Suppose u + 3 - 22 = -2*q, -5*q + 45 = 5*u. Calculate the lowest common multiple of q and y.
130
Suppose -22056 = 90*t - 86*t. Let z = t + 270238/49. Suppose 2*d - 3*b - 29 - 4 = 0, -4*d + 2*b + 62 = 0. Calculate the common denominator of d and z.
49
Let d(v) = -v**2 - 8*v - 8. Let k be d(-7). What is the common denominator of (-882)/20 + (-16)/40 and k/8 + (-151)/24?
12
Suppose 5*y = -7 - 8, -3*y - 15 = -2*s. Suppose -2*x = -4*v - 44, -19*x - 3