- 4, -4*y - 5*r = -100. Let s(h) = -h**3 + 5*h**2 - 4*h - 5. Let z be s(4). Let a = 17 + z. What is the least common multiple of y and a?
60
Let q = 282 - 3145/11. Suppose -3*o + w + 1249 = -1857, 0 = 4*o - 5*w - 4134. Find the common denominator of q and 4/12 - o/(-96).
88
Suppose -34*f + 14*f + 200 = 0. Calculate the lowest common multiple of f and 45.
90
Let h = 81792 + -325605/4. Let x = h + -376. Calculate the common denominator of (-327)/72 + (-4)/6 and x.
24
Calculate the common denominator of -101/52 and (-94)/(-32) + (-15)/3.
208
Let g(p) = 40*p + p**3 - 2 + 2*p**2 - 23*p - 22*p. Calculate the lowest common multiple of 22 and g(-3).
44
Let j = -516 - 540. Let r = j + 6371/6. Calculate the common denominator of 25/9 and r.
18
Let j be -1 - (278/228 - 2). Let k be ((-14)/(-456))/(8/(-312)). Let l = k + j. Calculate the common denominator of 81/22 and l.
132
Let i be (-2 + -67)/((-1)/2). Find the common denominator of -1 + 25/15 - 140/i and 49/11.
253
Let x(l) = -l**3 + 10*l**2 + 26*l - 8. Let k = 50 + -38. What is the lowest common multiple of (-8)/2*22/(-4) and x(k)?
176
Let x = -90197/27 - -3341. Find the common denominator of 13/21 and x.
189
Let m = 18 - -5. Let z = m - 13. Calculate the lowest common multiple of -12*(-16)/(-24)*3/(-4) and z.
30
Let c(v) = -v + 11. Let d be 1 - -1 - (-5 + 1). Calculate the least common multiple of 1*(5 - (3 + 1)) and c(d).
5
Let x(v) = v**2 + 5*v + 12. Let z(f) = -18*f - 3. Let o be z(-5). Let m be 3/(-18) - o/18. What is the smallest common multiple of x(m) and 18?
36
Let k be (-4 - (-36)/10) + (-324)/(-10). What is the lowest common multiple of (2 + -17)*(3 - k/10) and 27?
27
Let v = 9 + -1. Let a(i) = i**3 - 2*i + 4. Let f be a(3). Suppose -2*b + f - 9 = 0. What is the smallest common multiple of v and b?
8
Calculate the common denominator of 35/48 and (90/(-60))/((-9)/(-119)).
48
Suppose 5*v + 3*u = 846, 69*v = 67*v + 5*u + 357. Calculate the smallest common multiple of v and 18.
342
Let p(m) = m**2 + 6*m + 6. Let x be p(-6). Suppose 5*a = 9 + x. Suppose -a*y + s - 4 = 5*s, 3*s + 24 = 3*y. Calculate the least common multiple of y and 2.
4
Suppose 22*g - 30*g + 56 = 0. Suppose -5*k + 216 = -24. Suppose -g*p + k = -p. What is the least common multiple of p and 14?
56
Let a be 29/5 - 3/(-15). Find the common denominator of -11*(20/a + -3) and -73/18.
18
Let v = 491/3 - 847/6. Let c be ((-2)/30*-9)/((-2)/(-20)). What is the common denominator of 2*(c + -2 - (-124)/(-18)) and v?
18
Suppose -4*z + 4 = 5*v, 2*z = -2*z - v + 4. Calculate the least common multiple of 18 and z.
18
Let r(o) be the second derivative of -227*o**5/10 - o**4/6 + o**3/6 + 2*o. Let q be r(1). Let y = 1901/4 + q. Calculate the common denominator of -13/10 and y.
20
Let g = -1352/3 - -13247/30. Find the common denominator of g and 65/8.
40
What is the common denominator of 85/6 and 1 + 3/(144/920)?
6
Let w(d) = d**2 - 8*d + 11. Let k be w(7). Calculate the lowest common multiple of 4/k + 2 - -1 and 18.
36
Let y = 25 - 9. What is the smallest common multiple of (-2)/(-3)*27/3 and y?
48
Let y = -180 - -252. Let w = -46 + y. Suppose 4*f - w = -5*m - 11, 25 = 5*m + 2*f. What is the lowest common multiple of m and 8?
56
Suppose -5*u = -7 - 3. Find the common denominator of ((-22)/48)/((-1)/(-2)) and u/(-11) + 11830/(-1848).
12
Let b(l) be the second derivative of -7*l**3 - 3*l**2 - l - 16. Calculate the smallest common multiple of 15 and b(-1).
180
Suppose -2*h - 32 = 5*i - 11, -2*h = -2*i + 42. Let c = h + 40. Calculate the lowest common multiple of c and 8.
88
What is the common denominator of -125/18 and ((-29)/(-180))/(-6*9/(-225))?
216
Suppose 25824 = c + 5*c. Let d = -17115/4 + c. Find the common denominator of -10/9 and d.
36
Let v(i) = -6*i - 75. What is the lowest common multiple of 27 and v(-13)?
27
Let z(h) = h**2 + 2*h - 16. Calculate the least common multiple of 6 and z(7).
282
Let n = 1363 - 931. Suppose n = 6*p + 3*p. Suppose -p = -6*b + 2*b. Calculate the least common multiple of b and 12.
12
Let h = -659 - -719. Calculate the least common multiple of 60 and h.
60
What is the common denominator of (-14)/(-336)*9/2 and 69/28?
112
Let c = 571 + -560. Let l = -6 - -13. Calculate the lowest common multiple of l and c.
77
Let f be (-224)/(-22) - (-4)/(-22). Suppose -2*u + y = -2, 3*u - 5*u - 3*y = -f. Calculate the least common multiple of u and 10.
10
Suppose 2*d = 5*d + 2*x - 16880, -3*d + 5*x + 16852 = 0. Let u = d + -56143/10. Let j = -24055/956 - 21/239. Find the common denominator of u and j.
20
Let l(i) = -i**3 + 17*i**2 - 21*i + 51. What is the least common multiple of l(15) and 12?
372
Let g = 28/13 + -5893/2730. What is the common denominator of 74/175 and g?
1050
Suppose h = -4*h. Let w = h - -11. Calculate the lowest common multiple of w and 2/3*(-63)/(-6).
77
Suppose -i = -2, 38*a - 35*a - 4*i = 58. What is the lowest common multiple of a and 1044?
11484
Suppose -c + 0 - 16 = 0. Suppose -4*k - 6247 = -3*s, -s + k = s - 4173. Let h = s + -14590/7. Calculate the common denominator of c and h.
7
What is the common denominator of ((-5)/78)/((-10)/14) and -46/117?
234
Let g = -28437/118 + 241. Let h = -947/354 + g. What is the common denominator of 97/18 and h?
18
Let a = 637 + -541. Calculate the lowest common multiple of a and 84.
672
Suppose 2*p - 32 = -2*p + 2*f, -p - 4*f = -8. Calculate the lowest common multiple of 5 and p.
40
Let l(d) = -d**3 - d**2 + 11*d + 14. Calculate the lowest common multiple of l(-4) and 1268.
11412
Let n = 4085979/40 - 551448/5. Let r = -8128 - n. Calculate the common denominator of -89/4 and r.
8
What is the common denominator of (-1)/(4/(-16)) - (-1380)/(-234) and -49/39?
39
Let y be (6/4 + -2)/((-2)/16). Suppose -y*m + l + 96 = -64, m = l + 43. Calculate the smallest common multiple of m and 9.
117
Let t(a) be the third derivative of -a**4/24 - a**3 + a**2. Suppose -2*s = 2*x + 26, -x + 2*s + 18 = -2*x. What is the smallest common multiple of t(x) and 14?
14
Let m = 2/85765 - -39347/171530. Calculate the common denominator of m and -59/30.
510
Let t be (51957/(-20))/((-10)/25). Let l = t + -6485. Find the common denominator of l and 5/8.
8
Let y = -2/6133 + -754339/61330. Calculate the common denominator of y and (-6)/(-27) - 1023/(-4266).
790
Let c = 2948703665/1036390338 + 27/502858. Let q = -10/229 - c. Find the common denominator of q and 11/3.
9
Let b(a) = -3*a + 9. Let v be b(-4). What is the least common multiple of (-24)/(-56) + 222/v and 6?
66
Suppose 3 = -4*i - 5, -3*b - i = -46. Let q(t) = 2*t**3 + 14*t**2 + 8*t - 6. What is the lowest common multiple of q(-6) and b?
144
Let q(w) = -w**3 + 28*w**2 - 139*w + 48. What is the smallest common multiple of 162 and q(21)?
648
Let a = -11422088 - -251347637/22. Let c = -2808 + a. What is the common denominator of 77/10 and c?
110
Let g be (-2002)/84 + 1/(-6). What is the common denominator of (20/g)/(-1)*(-22)/4 and 55/18?
36
Suppose 0 = -29*t + 25*t + 192. What is the least common multiple of 16 and t?
48
Let w = 21 - 25. Find the common denominator of ((-8)/40)/(w/(-230)) and -75/2.
2
Let k = 556 - 544. What is the smallest common multiple of k and 30?
60
Let l = -8947 + 19773. Let t = -108349/10 + l. Find the common denominator of t and (-2)/20 - 0/1.
10
Let t be ((-3)/(3/(-7003)))/1. Let l = t - 12000. Let p = 39923/8 + l. Find the common denominator of p and 39/5.
40
Let f = 1218/23 + -18374/69. Let x = f + 198. Find the common denominator of x and -13/8.
24
Let x(o) = 22*o - 78. Calculate the smallest common multiple of 27 and x(6).
54
Let i(b) = 6 + 3 - 2*b - 5 + 2. Let t be i(9). What is the least common multiple of 2*(-3)/18*t and 10?
20
Let l be (0/3 + 1721)*5/5. Let i = 10297/6 - l. What is the common denominator of i and -115/36?
36
Suppose -2*b + 75 = 3*g + 2*g, -2*g = -b + 60. Suppose -8*a + 13*a = -10. What is the lowest common multiple of 2 - 5 - b/a and 20?
220
Let i = -2674 + 29358/11. Let l be (-2)/(-3) - 164/3. Calculate the common denominator of (-2)/(l/(-15)) + -1 and i.
99
Let o = -12 + 12. Suppose 2*m - 24 = -o*m. Suppose m = 12*t - 9*t. What is the lowest common multiple of t and 4?
4
Calculate the common denominator of (-1)/5 + ((-472)/240 - -5) and 93/10.
30
Suppose -o - 15 = -6*o, 2*v + 404 = -4*o