. Let i(j) = -j**3 - 5*j**2 - 6*j. What is the lowest common multiple of 1 and i(x)?
8
Suppose 0 = x - 1, 2*l + 2*x - 17 = 5*x. Let m = -27 + 57. Calculate the lowest common multiple of l and m.
30
Let a(d) = -d**2 - 5*d - 2. Suppose -3*x - 27 = 6. What is the least common multiple of a(-2) and x/(-3 - 5/(-2))?
44
Let d = -4949018 + 1039288739/210. Let f = 299/15 + d. What is the common denominator of -151/18 and f?
126
Let p = -268/43 - -16717/1806. What is the common denominator of p and 53/7?
42
Find the common denominator of -47/274 and (-9105)/630 - (0 + (-2)/7).
822
Let b = -11373164249/616595 - -1456200/79. Let r = 2/1561 + b. Find the common denominator of r and 57/2.
10
Let j(t) be the second derivative of -11*t**4/6 - t**3/6 - t**2/2 - 6*t. Let d be j(-1). Let v = d - -40. Calculate the lowest common multiple of 6 and v.
18
Let m(o) = -2*o**2 + 2*o. Let v be m(6). Calculate the common denominator of (-302)/90 + (-8)/v and -3/7.
63
Calculate the common denominator of (246/(-324) + -2)/((-6)/(-9)) and 25/132.
396
Suppose -2*p + 1 = -5*z - 4, -3*p + 18 = -4*z. Suppose 3*b - p = -2*b. Calculate the smallest common multiple of 2 and b/4 + 6/4.
2
Let f(h) = 3*h**2 - h - 1. Calculate the least common multiple of (4 - 5/1)/((-14)/56) and f(-1).
12
Suppose 0 = -5*t + 2*k + 8, -2*t + 4*t - 12 = 3*k. Let b be t/(-3 - -1) - -12. Let w = b - 10. What is the lowest common multiple of 8 and w?
8
Let f(n) = 2*n + 4. What is the least common multiple of 20 and f(20)?
220
Let y be ((-51)/(-6))/((-19)/(-8)). Let v = y - 749/342. Calculate the common denominator of 13/22 and v.
198
Let m(s) = s**2 + 7*s + 6. Let u be m(-8). Suppose 10*z = u*z - 48. Calculate the smallest common multiple of 33 and z.
132
Suppose -51*n + 56*n = 35. What is the lowest common multiple of n and 63?
63
Calculate the common denominator of ((-30)/(-1100))/(9/(-39)*-4) and -83/36.
3960
Let n be (-9)/5*-1*(-435)/(-29). Suppose 2*k - 3*p - 21 = 0, -4*k - 3*p = -7*k + n. Calculate the least common multiple of k and 4.
12
Let b = 142 - 130. Calculate the least common multiple of b and 20.
60
Let d(y) = -y**2 + 5*y + 3. Let j be d(5). Let s = j - -6. Let x = -1 + 4. Calculate the least common multiple of x and s.
9
Suppose 6*i - 326 = 178. What is the common denominator of 49/68 and (-20)/(-70) - (-326)/i?
204
What is the lowest common multiple of 21 and (9 + -3)*(12 - 5)?
42
Suppose m + 5*c - 9 = 0, -m + 2*c + 4 = -12. Calculate the common denominator of 11/20*(-8 - m) and -57/10.
10
Let m = -1747/42 - -192/7. Calculate the common denominator of -37/84 and m.
84
Suppose 51 = 2*l + 5*k, -2*l + 9 + 7 = -2*k. Suppose 5 = p, -2*s - 5*p + l + 22 = 0. Let q = -7 - -17. Calculate the smallest common multiple of s and q.
10
Let h = 1403 + -5675/4. What is the common denominator of 74/(-12) - (-2)/(-2) and h?
12
Let p = -222 - -445. What is the lowest common multiple of p and 10?
2230
Suppose 3*z = 3*b + 276, z + 3*b - 77 = 23. What is the least common multiple of 10*13/(-65) + 10 and z?
376
Let o = 20 + -20. Calculate the common denominator of 14/77 - ((-899)/(-165) + o) and -17/18.
90
Let n be -19 - -4 - 6/(-2). Let r = -127943/12 - -10673. Calculate the common denominator of (18/n)/(21/(-29)) and r.
84
Let b = 51/14 + -1055/84. Let s = 198715/6 - 33222. Let y = s + 6131/60. Calculate the common denominator of b and y.
60
Let h(q) = -q**3 + 7*q**2 - 1. Let o be h(6). Let r = 53 - o. Let w(s) = s**3 + s + 6. What is the least common multiple of w(0) and r?
18
Let p = -559/33 - -29947/1914. Find the common denominator of 32/33 and p.
1914
Let n = -56/2603 - -101695/1218204. What is the common denominator of n and 56/27?
1404
Let t = -1978 + 15867/8. Let p = -4839/2030 - -66/145. Calculate the common denominator of t and p.
56
Calculate the common denominator of -33*25/(-1260) + (-2)/(-8) and -35/3.
21
Let o be ((-10804)/930 - 4/(-30))*-1. Let k = -5979/248 + o. Find the common denominator of -13/6 and k.
24
Suppose 3*g - 882 = 4*p, -9 - 3 = -4*p. Calculate the common denominator of 109/18 and g/24*(-14)/(-21).
18
Let o = -322 - -326. Calculate the smallest common multiple of o and 11.
44
Suppose 4*n = -4, -4*q = -5*n + 108 - 141. Let a(x) = 3*x - 10. Calculate the least common multiple of q and a(7).
77
Suppose -5*s + 215 = -0*s. Suppose 41 = 18*m + 59. What is the lowest common multiple of 10 and m/6 - s/(-6)?
70
Let h = -8671/6 - -11585/8. What is the common denominator of 28/93 and h?
744
Let p = -16/281 - -19019/3372. Find the common denominator of (-2581)/(-174) - (5/2 - 1) and p.
12
Let l(h) = -2*h**2 - 12*h - 9. Let n be l(-4). Let c(u) = 2*u**2 - 9*u + 9. What is the lowest common multiple of c(n) and 16?
176
Suppose 7*g + 151 = 32. What is the least common multiple of 8 and 4/((-2)/(-1))*g/(-17)?
8
Suppose 0*l + 72 = -4*l. Suppose -z = -4*z - 3*y, 0 = 4*z + y + 3. What is the common denominator of (-16)/84*(2 - z) and l?
7
Let i = 5939/4074 - 36/679. What is the common denominator of i and (249/(-30))/((-12)/10)?
84
Let g = 831 + -797. Let r = -18 + 30. What is the least common multiple of g and r?
204
What is the smallest common multiple of -17 + 12 - (-16 - -1) and 17?
170
Let x = -51 + 104. Suppose -13*j = -25 - x. What is the least common multiple of j and 1?
6
Let s = 56 - 55. Let l = 17 + s. What is the lowest common multiple of l and 18?
18
Suppose 5*g = -q + 2*g + 252, 0 = 3*q + g - 756. Let w be 8/36 - (-66922)/q. Let s = w - 259. Find the common denominator of s and -53/16.
112
Let g be (-6)/4 + (-3928)/6. Let b = -670 - g. What is the common denominator of -1*4/72*-145 and b?
18
Let k(w) = 6*w**2 + w - 1. Let t(v) = 7*v**2 + v. Suppose 0 = 2*h - 1 - 1. Calculate the least common multiple of k(1) and t(h).
24
Find the common denominator of (387/(-1032))/((-78)/(-632)) and 0/4 - (-86)/4.
26
Suppose -16 = h + 2*k, 2*k - 9 + 43 = -4*h. What is the common denominator of -63/16 and 35/616 + h/33?
16
Let y(g) = g**3 + 17*g**2 - 19*g + 12. What is the lowest common multiple of y(-18) and 11?
330
Let o(u) = u**3 - 5*u**2 - 6*u - 11. Let y be o(6). Calculate the smallest common multiple of 2/y - ((-4272)/33)/8 and 6.
48
Let z = -899/12 - -84. Calculate the common denominator of 174/(-88) + (-2 - (-70)/40) and z.
132
Let g = -12/397 - 85524/7543. Let u = -491/95 - g. What is the common denominator of u and 131/6?
30
Let j be 2/(-6) + 40/12. Let u be (j - 53)/((-2)/28). Calculate the common denominator of -15/22 and (-2)/8*u/90.
198
Let u be 16/56 - 3196098/(-112). Let i = u + -20492. Let s = i - 8033. What is the common denominator of 8/5 and s?
40
Suppose 4*x - 58 = -f, -166 = -5*f + 4*x + 100. What is the lowest common multiple of f and 9?
54
Let c = 106009319/544 - 194870. What is the common denominator of c and -36/119?
3808
Let y be (5/(-2))/((-17)/34). Suppose 73 = y*g + 23. What is the lowest common multiple of (-2 - g)*1/(-2) and 11?
66
Let n(l) = -3*l + 9. Let z be n(-4). Suppose -10*b = -z - 179. Calculate the least common multiple of 18 and b.
180
Suppose 21*p = -11*p + 672. What is the lowest common multiple of 159 and p?
1113
Let p(f) = -10*f**2 - 5*f. Let n be p(-7). Calculate the common denominator of n/(-234)*(-8)/(-14) and 10/12 - 20/30.
18
Let b(u) = u**3 - 6*u**2 - 1. Let x be b(-5). Let t = 553/2 + -303. Calculate the common denominator of t and (-3)/(-2) + x/216.
18
Let f = -23 - -19. Calculate the common denominator of 75/(-18)*(-18)/f and 97/22.
44
Let u be (96687/(-60) - 2/8) + 2. Let l = u + 1607. Let o = -2691/110 - -123/5. Find the common denominator of o and l.
110
Let t be 3/(-2 + (-1)/(-2)). Let z be (t + 66/(-4))*29. Let f = z + 527. Calculate the common denominator of 26/9 and f.
18
Let l = 16157/6 + -2710. Find the common denominator of (-824)/18*6*(-8)/256 and l.
12
Let l = 11201 + 16143. Let b be (1597739/(-55))/(l/(-10)). Let u = b - -2/1709. What is the common denominator of u and -1/8?
8
Let f = -306 - -315. Let d(z) = -z**3 + 2*z**2 + 5*z + 3. Calculate the least common multiple of f and d(-3).
99
Suppose -5*v - 25 = -3*t - v, 32 = 4*t - 5*v. Let f = 19143/1094 - -1/547. Calculate the common denominator of f and t/9*183/10.
10
What is the smallest common multiple of 1/(-1)*(-28)/2 and 7/(7/(-4))*-1?
28
Let y = 1401 + -30853/22. Let d be (-