6876
Let u(s) be the third derivative of s**4/24 + 3*s**3/2 + 5*s**2. Suppose -32 = -5*w - 2. Calculate the least common multiple of w and u(5).
42
Suppose 105 = 3*b + 2*b. Let d(k) = 2*k**3 + 67*k**2 - 38*k + 19. Let y be d(-34). Let n = y + -154. Calculate the lowest common multiple of n and b.
21
Let m(b) = -b**2 - 39*b - 176. Let c be m(-5). Find the common denominator of 61/171 and (-1202)/380 - c*3/6.
1710
Let d(g) = g**3 + 8*g**2 + 13*g + 9. Let l be d(-6). What is the lowest common multiple of 9 and (l/(-27))/(2/(-18))?
9
Let u = -691/21 + 173/6. Calculate the common denominator of 1387/152*-4*3/129 and u.
602
Let u(o) = -o**3 - 50*o**2 - 100*o - 129. Suppose 5*q + 3*j = j + 19, -5*q + 2*j = -11. Calculate the least common multiple of u(-48) and q.
63
Suppose -4*r + 19*r + 45 = 0. Let k = -9/1024 - -43601/9216. Find the common denominator of k and (-4)/(2160/(-2277)) + (-1)/r.
180
Let o be (-140)/(-77) - (-2)/11. Let y(i) = -12*i + 32. Suppose 2*s = -4*q - 0*s + 62, -4*q = 4*s - 68. Calculate the lowest common multiple of y(o) and q.
56
Suppose -2*w + 2285 = -535. Find the common denominator of 14/(-8) + 2242/760 and w/(-168) - (-6)/8.
70
Let k = -13763/9 - -1522. Suppose 4*a - 16 = 120. Let c = -131/4 + a. Calculate the common denominator of k and c.
36
Suppose 2*g - 1078 = -o, -5634 = -4*g - 4*o - 3470. What is the least common multiple of 716 and g?
2148
Suppose 4*x - o = -29 + 66, -5*o - 17 = x. Suppose 0 = x*c - 4*c + 16. Calculate the common denominator of c - 316/(-48) - -2 and 79/10.
60
Calculate the common denominator of -29/462 and -4 + (1 - -1)/(3944/242 - 16).
1386
What is the lowest common multiple of 582 and (5/(100/20176))/((-6)/(-15))?
7566
Let w = -5865371/6306 + -130/3153. Let o = 928 + w. Let j = -795/2 - -372. Calculate the common denominator of j and o.
6
Let m be (9054/(-20))/(-3)*(-1647)/(-81). Let a = -3063 + m. What is the common denominator of a and -9/43?
430
What is the common denominator of 3/40 and 1/2*0/(-186) + (-13)/(-384)?
1920
Let r(i) = i**2 - 12. Let l be r(-4). Suppose -5*v = -l*v + 6. What is the least common multiple of (6 + 0)*(-10)/v and 4?
20
Let t = 1011174/5 + -203012. Let v = -61811/80 - t. What is the common denominator of v and -33/14?
112
Suppose -4*z = -7*s - 658, 4*z + 5*s - 483 = 151. Let y(q) = 2*q - 13. Let i be y(9). Suppose -z = -i*j + 129. What is the smallest common multiple of 12 and j?
348
Let f = 1885 - 1767. Calculate the lowest common multiple of 354 and f.
354
Let u(c) = -10*c - 6*c - 5*c + 54 + 18*c. Calculate the lowest common multiple of 24 and u(0).
216
Let y be -4*1 - (1 + (-12 - 1)). Suppose y + 2 = -5*t. Find the common denominator of -145/12 and t/6 + (-554)/(-60).
60
Calculate the common denominator of (-128835)/(-74844) - (0 + 7/4) and -143/162.
1782
Let f = -23009765353 - -259964329238749/11298. Let l = f - -2/1883. What is the common denominator of (-1 + 7/12)*-10 and l?
6
Let m = -18433/4290 - -712/195. Find the common denominator of m and 91/4.
220
Let t be (-4)/178576*3/267. Let i = 5264643413/1140341692 - t. Let u = i + 45/41. Calculate the common denominator of 30/11 and u.
77
What is the common denominator of (-1 - (-30)/(-16))/(((-289377)/(-44))/37) and -109/24?
5688
Let a = -3/17907881 + 1603453756925/393973382. Let u = -4071 + a. Find the common denominator of u and 93/26.
286
Let u(a) = a + 0*a - 42 + 3*a - 7*a. Let m = -922 - -907. Calculate the lowest common multiple of 45 and u(m).
45
Let h = -706/85 - -63/17. Suppose -4*m = 4*u - 8*u - 64, 3*u + 52 = m. Find the common denominator of (-2)/4*(-44)/u and h.
45
Let c(i) = 18*i + 14. Let p be c(-5). Let r = p + 114. Calculate the least common multiple of 16 and r.
304
Let b = -233817/14 + 16694. Let z = 1965863/30 + -65535. What is the common denominator of b and z?
210
Find the common denominator of -71/6 and (2146/2590)/(39/15 + -3).
42
Calculate the common denominator of 326/88 - (-7)/(-28) and 266376/148896 - 10/8.
1551
Calculate the common denominator of (-363)/4*(1 - 1148/1113) + -3 and -51/106.
212
Let f = -383 - -541. Calculate the lowest common multiple of ((-9)/3)/(-12) + f/8 and 3/((-12)/16*-1).
20
Let i = 3084 - 3044. Let m(f) = f**2 - 4*f - 3. Let b be m(5). Suppose t - 42 = -5*s, -3*t + b*s + 35 + i = 0. What is the lowest common multiple of t and 15?
135
Let j be (-28)/(-10) + -1 - 5/(-25). Find the common denominator of (j/42)/(((-44)/30)/11) and (-22)/(-44) - 1/(-9).
126
Let y(f) = 35*f**2 + 2*f - 4. What is the smallest common multiple of y(1) and 4434?
48774
Suppose 5 = 2*l + q - 0, 0 = 2*q + 2. Suppose 1 - 14 = -3*f - 2*g, 0 = 2*f - l*g. Suppose 3*p - 202 + 169 = 0. What is the smallest common multiple of f and p?
33
Suppose -12 = -2*i + 4*x, 3*i - 23 = 3*x + 2*x. Let o = -58 + i. Find the common denominator of -41/27 and 1 + (58/o - 1) - 0.
189
Calculate the common denominator of 3*(15/(-5) - -1) + (-990)/(-161) and -73/56.
1288
Find the common denominator of ((-2065)/350)/(2 + -4 + 3) and 8/1573.
15730
Suppose 60 = 4*y + t, -22 - 12 = -y - 5*t. Suppose 5*n + 7*j = 4*j + y, 4*n = 2*j + 20. Calculate the common denominator of 0 - (-30)/n*3/66 and -32/3.
132
Let d(f) = -3739*f + 29. What is the smallest common multiple of d(-2) and 3?
22521
Calculate the common denominator of -25/2828 and -3 + (-4 - -3)*1 - 223/(-40).
28280
Let t = 49642/12895 - -3/10316. Let i be (-3 - 5)/(97/(-48) + 2). Calculate the common denominator of (18/i)/((-6)/190) and t.
320
Suppose 4*f - 16 = 0, -762*q + 764*q + 2*f - 74 = 0. Calculate the lowest common multiple of 3234 and q.
3234
Let f(u) = u**2 - 3*u - 10. Let j be f(0). Find the common denominator of 2 - 3/j*2893/(-198) and 83/90.
180
Let z be (-9944)/(-198) + (-2)/9. Suppose -4*a + 168 = -5*j - 66, -3*j = a - z. Calculate the least common multiple of a and 63.
504
Let n = -313 - -416. Suppose n*j = 94*j + 405. Calculate the least common multiple of 30 and j.
90
Let a(f) = 83*f + 4. Let p be a(-2). Let g = p + 176. Calculate the lowest common multiple of g and 1.
14
Let i = -431/5 + 9947/110. Calculate the common denominator of i and -107/414.
4554
Suppose -10177 - 139606 + 34643 = -57*s. What is the smallest common multiple of s and 44?
22220
Let g = -45251/6 - -7556. What is the common denominator of 19/886 and g?
2658
Suppose 5*u = -2*i - 4531, 18*i - 13*i = 2*u - 11371. Let o = i + 190951/84. Find the common denominator of o and -29/36.
252
Suppose -411 = -4*i + 21. Suppose -4*j - 3 = -d - 1, 4*d - i = -4*j. What is the smallest common multiple of d and (1113/53 - 16/2) + -1?
132
Find the common denominator of 8/832*8*561/180 and -35/48.
3120
Suppose -6 = -3*f, 3*f - 1326 = -275*m + 270*m. What is the lowest common multiple of 1980 and m?
3960
Let m be 8/(-76) - (-6 - (-465)/95). Suppose 6*o + m = 7*o. Calculate the lowest common multiple of o and 11.
11
Let m(u) = u**2 - 14*u + 2. Let s be m(14). Let x be 3624/18*s/(-32). Let f = x + 52/3. What is the common denominator of f and 5/11?
44
Suppose -2*y = -3*f + 18, 31*y - 4*f + 38 = 26*y. Let j(m) = 55*m + 360. Calculate the smallest common multiple of j(y) and 6.
30
Suppose -4*o + 5 = 5*i - 18, -2*i = 4*o - 38. Suppose 3*q = 5*h + 165, -7*q = -o*q + 5*h + 275. What is the common denominator of 49/6 and q/(-3) + (14 - 16)?
6
Let r(l) = 2*l**3 - 2*l**2 - 32*l + 63. What is the smallest common multiple of r(2) and 5608?
39256
Let l(m) = 167*m - 38. Suppose 0 = -31*j + 36*j + 55. Let z be l(j). Let b = z - -22441/12. What is the common denominator of 3/22 and b?
132
Calculate the common denominator of 2/(((-1212)/17)/2)*(-1302)/11284 and 61/303.
7878
Suppose 1962644 = -37*h + 36*h. Let t be ((-12)/40)/((-84)/h). Let x = t + 7009. What is the common denominator of x and 71/20?
140
Let v = -26940 + 3367519/125. Calculate the common denominator of 53/6 and v.
750
Let x = 8764 - 262861/30. Find the common denominator of -46/1249 and x.
37470
Suppose 0 = p + i - 162, 0*p + 4*p + i - 657 = 0. Find the common denominator of 127/96 and 1 - (2 + 175/p).
1056
Let r(l) = 2*l**2 - 2*l + 2. Suppose 271 = 5*a - 149. Suppose 23*v - a - 238 = 0. Calculate the least common multiple of r(3) and v.
14
Let d = -1410 + 29690/21. Suppose -14580 = -3*y - 657. Let j = 37033/8 - y. Calculate the common denominator of d 