rd derivative of 8*n**4/3 - 49*n**3/3 - 6*n**2 - 3. What is the least common multiple of g(2) and 108?
540
Suppose 0 = 4*s + 4*x, 3*x + 6 = s - 2. Let d be s/(-11) - 3264/319. Let l = 2425/464 + d. Find the common denominator of l and 101/4.
16
Suppose -111*f - 1077 = -a - 108*f, -4210 = -4*a - 2*f. What is the least common multiple of 96 and a?
1056
Let v = 132 - 112. Suppose 0 = -x + 133 - 37. What is the smallest common multiple of x and v?
480
Let d = 1094329/60 - 18238. Let r = -44 - -79/4. Find the common denominator of r and d.
60
Let w(q) = -2*q**3 + 87*q**2 + 47*q + 213. Calculate the least common multiple of w(44) and 170.
11730
Suppose -9146 = 92*t - 124698. Calculate the lowest common multiple of 8 and t.
1256
Let a(x) = 154*x + 2784. Calculate the lowest common multiple of 2166 and a(-18).
4332
What is the common denominator of 5 - 5 - 151/24 and 520/72*((-2)/(-4))/(-1)*1?
72
Suppose 0 = -4*n + 99 + 3037. What is the common denominator of 109/30 and -3 - (-1001)/n - 2/(-7)?
240
Let k = -14025 + 1893304/135. Find the common denominator of k and (-2)/(-9) + (-137)/360.
1080
Suppose 2610 = 5*t - 5*j, 4*j - 371 = -5*t + 2221. Calculate the smallest common multiple of 1040 and t.
1040
Let d(l) = l**2 - 2*l + 13. Let p be d(-12). Let j = p + -1627/9. Calculate the common denominator of j and 4/36*780/(-36).
27
Let f(n) be the third derivative of -n**5/20 - n**4/8 - n**3/2 + n**2. Let q be f(12). Calculate the common denominator of 89/6 and q/2*(3 - 2)/63.
42
Let g = 2542 + -15233/6. Calculate the common denominator of -68/237 and g.
474
Let u(r) = 3*r + 13. Let j be u(-3). Suppose 2 = -o + j. Calculate the smallest common multiple of o and (21/35)/((-3)/(-30)).
6
Let q be -3 - -5 - 1 - -17. Calculate the common denominator of -19/36 and (q/220)/(16/200).
396
Suppose 47*m - 6 = 49*m. Find the common denominator of 34/31 and ((-16)/m)/(-4) + 5010/990.
341
Suppose 0 = -4*k - 13 + 181. Let l = -1907 - -1913. What is the lowest common multiple of l and k?
42
Suppose 107*b - 228*b + 29403 = 122*b. Calculate the lowest common multiple of b and 484.
484
Let z(a) = 2*a**2 - 11*a - 128. Let p be z(11). What is the common denominator of -33/98 and (-21)/9 - (p - -6)?
294
Let a be 29*(-2 - (-7 - -4 - -2)). Suppose -1 = -2*i + 1. What is the smallest common multiple of i and a/(-1) - 160/(-32)?
34
Suppose 3759 = -26*h + 1237. Let c = 101 + h. Let i(g) = -g**2 + 9*g + 8. What is the lowest common multiple of i(6) and c?
52
Let l be 590/(-15)*3/1. Let k = l - -118. Suppose -f + 2*p = -6, -4*f + k*f - 3*p + 35 = 0. What is the smallest common multiple of f and 10?
40
Suppose 5*q - 21 = p + 14, 4*p = 2*q - 32. Let h be (0 - -40412)*3/q. Let x = 606047/30 - h. What is the common denominator of 92/15 and x?
30
Suppose -14*b = -12*b - 3*a - 106, 0 = 4*b + a - 170. Calculate the lowest common multiple of 80 and b.
880
Let h(k) = -5*k - 23. Suppose -2*a + u = -151, -2*u - 71 = -a - 6*u. Let b = 65 - a. Calculate the lowest common multiple of 18 and h(b).
54
Suppose d - 62*k - 90 = -60*k, -4*d + 348 = 4*k. What is the least common multiple of 6264 and d?
68904
Let h(y) = -y**3 + 7*y**2 + 10*y - 11. Let v be h(8). Let f(x) = x**2 - 3*x + 4. Let l be f(v). Let k = 17 - l. What is the lowest common multiple of 1 and k?
3
Suppose 515*w + 45 = 516*w. Suppose -x = -m - 65, 5*x - 7*m = -3*m + 330. Calculate the least common multiple of x and w.
630
Let n(l) = l**2. Suppose 0 = -6*m + 3*m + 123. Let r = m - 31. What is the smallest common multiple of r and n(4)?
80
Suppose 4*x + 40 = 6*x. Suppose -y - 4*y + 3*v = -35, 0 = -4*v + x. What is the lowest common multiple of 3 and y?
30
Suppose 300 = 306*a - 300*a. Suppose 24 = -a*r + 53*r. Suppose -2*i = -8, -l - i + 40 = 2*l. Calculate the smallest common multiple of r and l.
24
Suppose v - w - 10 = -4*v, 2*v = -4*w + 4. Let z = 22 + -20. Suppose -5*k - 39 = -z*j - 2*j, j = -v*k. What is the lowest common multiple of j and 9?
18
Let o(i) = 27 - 9 - i**3 - 12 - 5*i + 3*i**2 + 2*i**3. Let k = 364 + -238. Calculate the least common multiple of o(-4) and k.
630
Let n(f) = -21*f**2. Let a = 48 + -49. Let x be n(a). Find the common denominator of 1/6*6363/x and -7/12.
12
Let p(c) be the first derivative of -c**4/4 - 2*c**3/3 - 3*c**2/2 + 30*c - 36. Calculate the least common multiple of 15 and p(0).
30
Suppose -5*j = -j - 500. Let h = -290721/2321 + 35/211. Let u = j + h. Calculate the common denominator of 32/5 and u.
55
Suppose 0 = 6*v - 266 - 58. Suppose -2*f + v = -5*f. Find the common denominator of 18/11 and f*21/48*4.
22
Find the common denominator of ((-1155)/550)/((-288)/5) and (7/(-2))/(6/38).
192
Suppose 4*k = 62 + 46. Suppose 43*f - 11001 + 8679 = 0. What is the lowest common multiple of k and f?
54
Let l(r) = r + 2. Let k be l(-5). Let w = k - -10. Let s = 13743 + -13742. What is the lowest common multiple of s and w?
7
Suppose -144*r + 2013 = 285. Calculate the lowest common multiple of r and 3974.
23844
Let d = -5817841/240 + 24241. Calculate the common denominator of -89/216 and d.
2160
Suppose 0 = -j + 5*m - 8 - 15, 1 = j + m. Let n be (-6)/(-2) - (4 + j)*-459. Calculate the common denominator of 4/(-6) - n/(-288) and -91/12.
48
Suppose 638*t - 392 = 442*t. Calculate the least common multiple of 133/2 - (-1)/(-2) and t.
66
Calculate the common denominator of 266/(-480) - 2*75/(-120) and 19/80.
240
Let k = -102937/12 + 8587. Suppose -u - j = 38 + 7, -207 = 5*u - j. Calculate the common denominator of k and (1/2)/(27/u).
36
Let f(t) = -38*t + 182. Let j be f(5). Find the common denominator of 9/17 and j/576*-1182 - 2/3.
68
Let y = 40/443 - 37975/3544. Find the common denominator of y and -23/204.
408
Let v be -3*(-16)/(-72)*-3. Find the common denominator of -44/15 and v - (-4)/(-336)*61.
420
Suppose -8586 = -12*y - 42*y. What is the lowest common multiple of 318 and y?
318
Suppose 5*h - 10 = z, 4*z = -5*h + 3*h + 4. Let s(v) = -2*v**2 - 76*v + 3518. Calculate the least common multiple of s(-65) and h.
8
Find the common denominator of (-155 - -165) + 136068/(-13568) and 59/848.
3392
Calculate the common denominator of -101/10 and 1069/(-350) + 130/182.
50
Let n(v) = -v**2 + 10*v + 1. Let c be n(7). Suppose -4*l + 18 = -c. Suppose 14 = 2*a + 6. Calculate the lowest common multiple of l and a.
20
Suppose -2*n - 3*n = -5*h + 565, 4*n = 2*h - 228. Calculate the least common multiple of 114/(-171) + 70/15 and h.
112
Let x = -2/3665 + 187079/300530. What is the common denominator of 37/13 and x?
1066
Calculate the smallest common multiple of (1 + 2 + 3)*(-101 - -103) and 108.
108
Suppose 35*m - 82 = -6*m. Calculate the least common multiple of 41 and (15/m)/(-5 + 23/4).
410
Suppose 48*s + 183 = 51*s. Calculate the common denominator of 82/15 and 1/3 + (s/(-35) - -2).
105
Calculate the least common multiple of 172 - (2/9 + (-1554)/189) and 44.
1980
Let r = -55036/9 - -6108. Find the common denominator of r and 1/((-9)/24) + (-12166)/(-43296)*8.
738
Find the common denominator of (-22 + 21)/(138/(-291)) and -11/2.
46
What is the smallest common multiple of (-48)/(-112)*168/18 and 24 + 3 + 4 + -3?
28
Let d(r) = -13*r + 110. Calculate the least common multiple of 45 and d(-22).
1980
Let m(f) = 7*f + 10. Let s be m(-2). Let z be (-221)/195 + s/(-30). Calculate the least common multiple of 14 and (-111)/(-12) + z/(4 - 0).
126
Let a = -204866/3 + 426121097/6240. Calculate the common denominator of -151/1248 and a.
6240
Let j = -7 + 32/5. Let v = -1259 - -884. Let u = v - -394. Find the common denominator of u and j.
5
Let v = -107601547/645 - -166824. Find the common denominator of v and -31/27.
5805
Let d = -77851 - -77881. Suppose 112 = 4*j + 4*i, -5*j + 92 = -2*j - i. Calculate the smallest common multiple of d and j.
30
Let d = 85794497551/246 - 1046054344/3. Let n = -73340 + d. What is the common denominator of n and -12?
82
Let y(i) = -9*i - 41. Let j be y(-14). Let l = j - 81. Let o = 160 + -100. What is the smallest common multiple of o and l?
60
Let z(k) = k + 4. Let u be z(-3). Calculate the common denominator of 268/(-44) - (u + -3) and -50/99.
99
What is the lowest common multiple of (6/6)/(4/(-8))*-19 and 486?
9234
Let h = -5658 - -5690. Calculate the smallest common multiple of h and 116.
928
Let w(h) = 7*