n(l) = -l**3 - 7*l**2 - 7*l + 3. Suppose -m - 21 = 3*c - 0*m, 21 = -c - 5*m. What is the least common multiple of n(c) and 8?
72
Let v = -64 - -52. Find the common denominator of 19/12 + (-4)/v and 101/54.
108
Let z(c) = 14*c**2 - 11*c - 6 + 4*c**2 + c**3 - 29*c**2. What is the least common multiple of z(12) and 2?
6
Let h(d) = -5*d - 1. What is the smallest common multiple of h(-3) and (-16)/2 - 47/((-141)/72)?
112
Let l be (-6)/4*(-152)/(-3). Calculate the common denominator of -2 - -6 - l/(-14) and 6/10 + 216/(-35).
7
Let w be 2/(-47)*(-227120)/(-210). Let o = -1/658 + w. Let l = 405/7 + o. Find the common denominator of -41/4 and l.
12
Let y be (2/(-279))/(92/99015). Let a = y - 200/31. What is the common denominator of a and 55/24?
24
Let u(f) = -37*f**3 + 4*f - 4. Let b be u(1). Calculate the common denominator of (-1)/(-1) - b/(-8) and (-2 - 60)*2/6.
24
Let q = 1 - 2. Let k = 5 - 3. What is the lowest common multiple of k and (-8)/(4/8*q)?
16
Calculate the common denominator of -43/20 and 753/(-6834) + 2/17.
1340
Let u be (-3 + (-68)/(-22))*-25007. Let f = u + 2276. Find the common denominator of 77/10 and f.
110
Suppose 5*k = 5*c - 96 + 391, -c = -5*k + 79. Let a(l) = l**3 - 7*l**2 + 10. Calculate the lowest common multiple of a(7) and c/(-10) + 22/(-55).
10
Suppose -2*z = 3*z - 25. Let m(w) = -2*w - 4. Let q(s) = 1. Let y(v) = 2*m(v) + 12*q(v). Calculate the least common multiple of y(-2) and z.
60
Let d be ((-5)/15)/(2/(-12)). Suppose 4*l - 3*l = d. Suppose 5*z - 2*b + 0*b = 9, -l*z + 2*b + 6 = 0. Calculate the smallest common multiple of 4 and z.
4
Let k = -11 + 23. Suppose 2*z - 6 = 0, -4*z - k = -6*q + 2*q. Calculate the lowest common multiple of 20 and q.
60
What is the common denominator of -53/162 and 4/(-14) - (-2360)/1008?
162
Let u = 39 - 21. Let p be 2/1 - 4269/u. Let c = p - -233. What is the common denominator of 53/12 and c?
12
Let g = -16/243 - -9379/972. Find the common denominator of g and 73/156.
156
Let v = 11 + -7. Suppose 2*h + 11 = -3*h + 2*o, 10 = -v*h + o. Let b = h - -10. What is the smallest common multiple of b and 4?
28
Let u(x) = 4*x**2 + 25*x - 18. Let i(h) = h + 18. What is the least common multiple of u(-7) and i(-8)?
30
Let s = -20 - -55. Suppose c = -3*r + 5*c + s, -3*r + c + 29 = 0. Suppose -4*g - 13 = z, 4*z + 10 = 2*z - 4*g. Calculate the least common multiple of z and r.
9
What is the common denominator of (-3 + (-1207)/(-408))/(132/74) and -23/4?
1584
Suppose -14 = -o - 3*m, -4*o = -6*o + 4*m - 2. Calculate the common denominator of 51/7 and (0 - 1)/o + (-88)/55.
35
Let n = 15891779/193 + -82341. Find the common denominator of n and -46.
193
Let o = -34271/24 + 4261/3. Let k = -24364 + 633375/26. Calculate the common denominator of o and k.
104
Let v = 24521/732 + 1/732. What is the common denominator of 1/194 and v?
194
Let h(k) = 3*k**2 + 29*k - 2 - 29*k. Let d be 1/(((-1)/(-2))/1). Calculate the smallest common multiple of h(d) and 24.
120
Suppose 0 = x - 12 + 7. Calculate the least common multiple of x and 10.
10
Let l = -616/23 - -38159/1472. Calculate the common denominator of l and 127/12.
192
Let t = -18303/10 + 1828. Let r(h) = h**3 + h**2 + 8. Let v be r(0). Calculate the common denominator of -6*v/36*26/(-12) and t.
90
Suppose 4*o = 14*o - 30. Let c(p) = p**3 + 5*p**2 + 2*p + 1. Calculate the lowest common multiple of c(-2) and o.
9
Let g = -33792 - -1621889/48. Find the common denominator of g and -121/60.
240
Suppose -4*m - 28 = -36. Suppose m*d - 4*q + 466 = 0, -d + 2*d - q = -229. What is the lowest common multiple of (-2)/4 - d/10 and 9?
198
Let b(c) = -2*c**3 - 13*c**2 - 30*c - 7. Let n(x) = 15*x + 1. What is the smallest common multiple of b(-3) and n(1)?
80
Let s(d) = 5 + 2*d - d - 2*d + 3. Let y be s(0). Suppose 2*r + y = r + 4*i, -r - 2*i + 22 = 0. What is the least common multiple of r and 2?
12
Let u(l) = l**2 - 5*l + 7. Suppose 15*a + 298 = 343. Calculate the least common multiple of a and u(7).
21
Suppose -3*k + 0*q + 3*q = -27, 5*k - 49 = q. Let c = -298 + 320. What is the smallest common multiple of k and c?
110
Let h = 6376741/20705 - 31480/101. Let x = h + -4/41. Calculate the common denominator of x and -29/4.
20
Let d be (0 - (-2 + -10))*1701/36. Calculate the common denominator of (-2)/9 + 3285/d and 125/6.
42
Let n = -498857/112 - -4454. What is the common denominator of -103/56 and n?
112
Let j be 3082/20*35/(-28). Let h = 193 + j. Find the common denominator of h and -21/11.
88
Find the common denominator of (-16)/64 + (-35)/54 and 77/18.
108
Suppose -48 = -2*q + 3*p - 8, 2*p + 55 = 3*q. What is the common denominator of -32/3 and (q*(-3)/(-9))/(22/18)?
33
Suppose -12 + 12 = 5*m. Let l(d) be the second derivative of d**5/20 + d**4/12 + 7*d**2/2 - d. Calculate the lowest common multiple of 2 and l(m).
14
Let r = 1254 + -1238. Suppose 7 = 5*l - 13. Suppose 5*u - 2*a - 88 = 0, 0 = l*u - a - 24 - 47. What is the least common multiple of u and r?
144
Suppose -26 = -3*n - 8. Let h = 17 - 0. Suppose 43 = n*p - h. What is the lowest common multiple of 20 and p?
20
Let f = -19779/20 - -994. What is the common denominator of 47/45 and f?
180
Suppose 5*i = 4*u - 320, u + 3*i + 400 = 6*u. Find the common denominator of (-46)/(-115) - (-738)/u and (1/16)/(2/332).
8
Let i = 1643/462 + -30/77. Calculate the common denominator of i and -27/397.
2382
Let s be (-6)/4*(-7 + 5)*1. Let r(n) = 5*n**3 + n**2 - 6*n - 2. What is the least common multiple of 22 and r(s)?
1364
Calculate the common denominator of 7/33 and ((-312)/(-21) - -3)/(36/42).
66
Let c(h) = h + 2. Let o be c(0). Let k be o/(-8) + (-342)/(-280). Let v = k - 5069/210. Calculate the common denominator of v and 40/9.
18
Find the common denominator of -4 - 621/(-84) - 2 and -15/4.
28
Let i(f) = -f**2 - 11*f + 9. Let w be i(-7). Suppose -4*x - w + 217 = 0. Calculate the smallest common multiple of (-4)/(-6)*60/8 and x.
45
Let c = 550180996 - 1755077406089/3190. Let x = 18/319 - c. Calculate the common denominator of ((-356)/(-14))/(1504/1316) and x.
20
Let k = 13576 + -1086097/80. Calculate the common denominator of 39/320 and k.
320
Suppose -16*i - 30 - 2 = 0. Let l(q) = q - 7. Let j(m) = 1. Let s(b) = -10*j(b) - 2*l(b). What is the least common multiple of 44 and s(i)?
88
Let f = -34726590 + 52714961489/1518. Let x = f + 5/506. What is the common denominator of x and 4/(-14) - 6/(-7)?
231
Let k = 5 - -5. What is the smallest common multiple of -1 - ((-14)/7)/(5/5) and k?
10
Let g(h) = -11*h + 2. Let a be g(-5). Let x be -1*25/((-50)/192). Let v = a - x. What is the common denominator of v and 67/20?
20
Find the common denominator of (2/(-20))/(80/2450) and 73/160.
160
Let x = -135587/10 + 13570. Let c = x + 131/30. What is the common denominator of c and -13/6?
6
Let u be 4/(-6) - (-47750)/120. Let f = u + -395. Find the common denominator of f and -7/8.
8
Suppose -z - 3*s = 6 - 22, 4*z = 2*s + 22. Let k = -3 + z. Suppose d = -k + 15. What is the smallest common multiple of 9 and d?
99
Let m = 88 + -95. Find the common denominator of -37/16 and 146/88 - (-2)/(m - -3).
176
Suppose 167 = -3*r + 257. Let g(v) = 3*v**2. What is the smallest common multiple of r and g(2)?
60
Suppose -24 = -g - 16. Let b(c) be the second derivative of -c**4/12 + 5*c**3/3 - c**2 + c. What is the lowest common multiple of 22 and b(g)?
154
Let s = -138 + 154. What is the least common multiple of 12 and s?
48
Suppose 10*o + 21 = 17*o. Calculate the lowest common multiple of 8*((-1)/(-2))/1 and o.
12
Let x = 14183/2934 - 1/1467. Find the common denominator of -79/20 and x.
60
Let j be (-4)/(8/33)*20/15. Find the common denominator of -24 and 11/j + 37/(-18).
9
Let s be 1552*-1*(-6)/20. Suppose 42*v - 13821 = 5583. Let x = s - v. What is the common denominator of -40/9 and x?
45
Let f(c) = c**2 + 3*c - 9. Let t(j) = j**2 + 3*j - 10. Let r(o) = 3*f(o) - 2*t(o). Let z = 167 - 164. What is the least common multiple of z and r(-5)?
3
Let b be -1 + -2 + -1 + 51. Let j = b - 39. Calculate the smallest common multiple of j and 10.
40
Let j(s) = s**2 - 12*s + 22. Let o(a) = 2 + 0*a + 5*a - 4*a. What is the lowest common multiple of o(-1) and j(10)?
2
Suppose o - 279 = -5*p, -77 = 4*p + 5*o - 296. Calculate the smallest common multiple of 32 and p.
224