) = t**3 - 3*t**2 + 2. Let n(o) = o**2 + 2*o - 5. Let h be n(-4). Calculate the least common multiple of r(h) and s(2).
18
Let f = -732559/4 + 185468. Let j = 2317 - f. Calculate the common denominator of j and 2/8 + (-214)/(-24).
12
Let g = -53/10 + 321/70. Find the common denominator of -19/5 and g.
35
Calculate the common denominator of (-10)/(-4)*(-93)/775 and 71/(-18) - (2 + -2).
90
Suppose 3*h = 5*q - 3*q + 36, 0 = 4*h - 2*q - 46. Calculate the lowest common multiple of h and 2.
10
Let y = 7497/11 - 682. Find the common denominator of -15/4 and y.
44
Suppose 9*k - 121 = 95. What is the smallest common multiple of k and 21?
168
Let x(o) = -o**3 - 14*o**2 - o - 6. What is the least common multiple of x(-14) and 10?
40
Let n = -13836655/18 - -768954. Let z = 251 - n. Calculate the common denominator of (2 - 1) + (-393)/(-36) and z.
36
Suppose 0*f - 104 = -5*f - 4*i, -2*f + 2*i = -38. Suppose d = 3, -2*u = -2*d - 2 - 8. Calculate the lowest common multiple of u and f.
40
Find the common denominator of -19/22 and (2 - (-134)/(-72))/((-8)/(-6)).
528
Suppose m + 9*s - 65 = 4*s, -2*s = 2*m - 122. What is the smallest common multiple of 18 and m?
180
Let v(n) = n**3 + 5*n**2 + 4*n + 5. Let j be v(-4). Suppose j*k = 15, 5*l - 2*k + 5*k - 39 = 0. What is the least common multiple of l and 8?
24
Let i(d) = 7*d + 5*d + 4 - d**3 + 1 + 2*d - 13*d**2. What is the smallest common multiple of -1*(5 + -1)*-2 and i(-14)?
40
Suppose -4*x + 10 = x. Suppose x*t = 119 - 35. Calculate the least common multiple of 10 and t.
210
Suppose i - 10 = -0*i - 3*n, 4*n = -8. Suppose -5*s = -x + 12, -4*x = -0*x - 8. Let q = s + i. Calculate the smallest common multiple of q and 4.
28
Let g(z) = 9*z**3 + z**2 - z + 1. Calculate the smallest common multiple of 5 and g(1).
10
Let x = 46/17 - 662/119. What is the common denominator of x and -19/6?
42
Suppose o - 2*o - 7 = 0. Let r = 17 + o. Suppose 0 = n - 4*n + 21. What is the smallest common multiple of r and n?
70
Suppose -24*s = -20*s - 88. What is the least common multiple of s and 22?
22
Let m be 10/(-21)*9/254. Let n be 2 - (161498/17780)/1. Let d = m + n. Calculate the common denominator of d and 23/16.
80
Let q(i) = -3*i**2 - i + 1. Let r(k) = k**2 + k. Let h(b) = -q(b) - 2*r(b). Let c be h(1). Calculate the least common multiple of 4 and 4 + 3 - (c + 1).
28
Let l = 112/168159 + 146750671774/8912427. Let i = 16465 - l. Let g = -2523/212 + i. Calculate the common denominator of g and 3/2.
4
Suppose 0 = w + t + t - 59, 0 = w + 4*t - 65. Let k be 26/w*(-3)/42. Let y = -39827/3710 - k. What is the common denominator of 27/8 and y?
40
What is the least common multiple of (46 - (4 - 3)) + 0 and 36?
180
Suppose -3*c + 5 = k, -4*c = -k - k - 10. Suppose 3426 = -c*l + 4*l. Let b = l - 30853/18. What is the common denominator of 95/18 and b?
18
Let c(x) = 4*x - 2*x + 0 + 4. Let m be c(-3). Let w(u) = -2*u. What is the lowest common multiple of w(m) and 7?
28
Let d = -15502/7 - -2210. Let q be (9165/18 - 2) + 2. Let v = -497 + q. Calculate the common denominator of v and d.
42
Calculate the smallest common multiple of 6 and 8/6 + 8/3.
12
Suppose -g - 5*x + 0*x = -20, -4*g = 2*x - 44. Suppose -2*w + 8 = 2*w. What is the least common multiple of w and g?
10
Let a = 2379863597/941137450 - 4/2251525. Let x = -23/19 + a. Find the common denominator of (-218)/28 + 6/42 and x.
154
Suppose 0*q + 27 = 3*q. Calculate the least common multiple of 12 and (-48)/q*18/(-8).
12
Let u(v) = -v**3 - v**2 + v - 7. What is the lowest common multiple of 14 and u(-3)?
56
Let v be (8/6)/(-2)*-18. Suppose -3*y - 20 = 4. Let n = y + v. Calculate the smallest common multiple of 14 and n.
28
Suppose 3*f + f - k = 7, 0 = -3*f - 5*k - 12. Calculate the lowest common multiple of 6 and f*(-2 + (-6)/(-2)).
6
Let a(b) = b**2 + 4*b - 4. Suppose -4*u - 21 = 7. Let q be a(u). Let j = -6 + q. What is the least common multiple of 11 and j?
11
Let t = -32249/6 + 5352. Let z = -48705587/2356 - -20673. Let b = -117793/16492 - z. What is the common denominator of b and t?
42
Suppose c = -0*c - 4*l - 5, -5*l - 5 = c. Let k = 4 + c. Calculate the smallest common multiple of 3 and 3*((-20)/6)/k.
30
Let o = 11917/6 + -1981. Find the common denominator of o and -75/14.
42
Let i(g) = 5*g - 1. Suppose -7 + 2 = -5*u, -2*u = -j. Let r be i(j). Suppose v + 3 = r. What is the smallest common multiple of 18 and v?
18
Calculate the lowest common multiple of 70 and (4 - 1)*((-28)/(-6) + 0).
70
Suppose 5*k - 70 + 15 = 0. Suppose -u + 0*u + k = -3*o, 5*u + 4*o + 40 = 0. Find the common denominator of 79/6 and 13/22*8/u.
66
Let f = -16 + 26. Calculate the least common multiple of f and 8.
40
Suppose 180 = 4*h + 5*h. What is the smallest common multiple of h and 12?
60
Let b(g) = g**3 + 8*g**2 + g - 7. Let s be b(-7). Suppose -s = -3*v - 2*v. Let p = 12 + -4. What is the least common multiple of p and v?
56
Let f = 133131/10 + -13324. Find the common denominator of f and 87/2.
10
Let i = 193 + -613. What is the common denominator of 1989/i + 2/7 and -87/46?
460
Let w = 17761 + -390647/22. Let s be ((-490)/21)/(4/(-1758)). Let r = 205151/20 - s. Calculate the common denominator of r and w.
220
Let u(c) = -c + 7. Suppose -32 = -5*i - 4*w, 0 = -4*i + w - 0*w + 34. Calculate the smallest common multiple of i and u(0).
56
Calculate the common denominator of (-40)/16*(-26)/(-4) and 9/22.
44
Let o = -3 - -9. Find the common denominator of 287/66 + 2/o and -71/8.
88
Let a = 10788604234/429 - 25148282. Let y = 7/143 + a. Find the common denominator of (1/9)/(3/(-9)) and y.
3
Suppose -4*m = 4*g - 24, 10 = 5*g + 4*m - 9*m. What is the lowest common multiple of g and 6?
12
Suppose -5*z - 65 = -0*z. Find the common denominator of -79/6 and (z/15)/((-36)/(-150)).
18
Let b = 28 + -56. Let g be b/(-3)*(-3)/2. Let j = g - -30. Calculate the lowest common multiple of 2 and j.
16
Suppose 3*l = 2*s - 0*s - 1, -3*l - 6 = 3*s. What is the common denominator of 156/16*(-7)/(-12) and (-417)/(-66) - (-2)/l?
176
Calculate the common denominator of -91/12 and (-4)/(-14 + 2)*11/(-3).
36
Let p(z) = 3*z**2 - 2*z - 1. Let j be p(2). Suppose j = -5*s + 2. What is the lowest common multiple of 8 and (-19 + 1)*s - 2?
16
Let d = 540/11 + -5873/110. Calculate the common denominator of 9/(-22)*24/12 and d.
110
Calculate the smallest common multiple of 1 and 172/22 - 16/(-88).
8
Suppose 16*j - 186 = 15*j. What is the lowest common multiple of j and 20?
1860
Suppose -10 = -4*w - 26. Let m be (-1942)/w*(-11 + -1). Let d = 46703/8 + m. What is the common denominator of d and -17/14?
56
Let x = 6 + -3. Suppose 3*y - 8416 = -4*o, 0 = -x*o - y - 200 + 6517. Let w = o + -12709/6. What is the common denominator of w and -1/10?
30
Let j = 11 - 13. Let k(s) = 3*s**2 + 4*s + 2. What is the least common multiple of 20 and k(j)?
60
Find the common denominator of (-3)/(-9) - (-2)/(-42) and -53/8.
56
Let p(t) = t**2 + 8*t + 8. Suppose 0*y = 4*y - 64. What is the lowest common multiple of p(-8) and y?
16
Let z(o) = -5*o**2 - 1 + 2*o**2 + 7*o - 12 + 4*o**2. Let q be z(-9). Suppose -q*m = -3*m - 16. What is the lowest common multiple of 2 and m?
8
Let p(x) = -2*x**3 - 4*x**2 - 3*x - 2. What is the least common multiple of p(-2) and 4?
4
Let g = 14 + -3. Calculate the lowest common multiple of 4 and g.
44
Let r be (-7 + 13)/((-1)/49). Let f = r + 2046/7. Calculate the common denominator of -101/6 and f.
42
Let s = -8943909/205 - -43629. Let h = 18921/820 + s. Calculate the common denominator of h and (10/150)/(4/438).
20
Let z(t) = t**3 + 8*t**2 - 7*t. Let n be z(-9). Let a be (141/n)/((-25)/3). Let i = -1258/75 + a. What is the common denominator of 58/9 and i?
18
Calculate the smallest common multiple of ((-2)/1)/(1 - 2) + 51 and 10.
530
Let t = 12447 - 522749/42. What is the common denominator of 73/66 and t?
462
Let a(y) = -y**3 + y + 5. Suppose 0 = 3*v - 2*o - 12, 0*v = v + 4*o + 10. Suppose 0 = 2*g - v - 2. What is the smallest common multiple of g and a(0)?
10
What is the common denominator of -71/2 and 1/4 - 222/(-60)?
20
Let b = -3700952 - -40762166/11. Let y = -4704 + b. Calculate the common denominator of y and ((-114)/40)/((-1)/4).
55
Let r = 76/3 + -23. Suppose -c = -3*c + 5*h - 63, c + 3*h + 48 = 0. Find the common denominato