 g(a) = -a**3 + 5*a**2 - a + 3. Let t be g(5). Let u = -2 - -5. Let v = t + u. Calculate the least common multiple of 1 and v.
1
Let n be (-208)/(-6)*(-238)/4. Let v = -2041 - n. Calculate the common denominator of 4/22 + (-812)/110 and v.
15
Let r = -126 + 159. What is the lowest common multiple of 21 and r?
231
Let d(t) = 3*t - 3. What is the smallest common multiple of d(3) and 15?
30
Suppose -x - 3*a = -8, -4*x + 10 = a - 0. Suppose -37 = 2*j + i - 0, 2*j + 40 = 2*i. Let t = -9 - j. What is the smallest common multiple of x and t?
10
Calculate the least common multiple of 1*3 + 8 + -11 - -3 and 5.
15
Let a = 139/6 - 27. Calculate the common denominator of 2/1 + 97/2 and a.
6
Let s = -1692456 - -260636511/154. Let y = -101/14 - s. What is the common denominator of -27 and y?
11
Let a(l) = -l. Let h be a(-2). Suppose 4 = t + t, -2*t = -b + h. Calculate the least common multiple of b and 3.
6
Let g(x) = x**2 + 6*x + 2. Let w = 372 - 364. Calculate the lowest common multiple of g(-6) and w.
8
Let b = -414 + 2611/6. What is the common denominator of b and -26/9?
18
Suppose -47 = 2*z + n, -5*z - 56 = -n + 51. Find the common denominator of -87/10 and 21/(-7) - z/(-36).
90
Let c = -9428905/10983 - 1/21966. Let a = -829 - c. Find the common denominator of -37/3 and a.
6
Let o = -278023/15306 - 6/2551. Let g = 740 - 6727/9. What is the common denominator of o and g?
18
Let q = 9 - -9. Find the common denominator of 32/7 and (1/q)/(1/62).
63
Calculate the common denominator of 53/(-6) + 18/(-27) and -97/20.
20
Let j be (-6)/4*289088/108. Let o = j - -4023. Calculate the common denominator of -115/6 and o.
18
Suppose 4*j + 3*o - 5 - 3 = 0, -3*j + 5*o = -6. Let w(n) = -n**j + n - 12*n**3 + 3*n**2 - 8*n**3. Calculate the common denominator of w(-1) and -63/4.
4
Let p be ((-761)/(-2))/(2/4). Let u = 5776024/9 + -641025. Let x = u - p. Find the common denominator of x and 31/2.
18
Let h be (1 - 3) + -127 + -1. Calculate the common denominator of 61/22 and h/(-24) - 1 - 1.
132
Let v be 12039/18 + 2*-1. Let o = v - 672. Let k = 918/11 + -5821/77. Find the common denominator of k and o.
42
Suppose v - 2*v - 3*t - 2 = 0, -t = 5*v - 4. Suppose 0 = -14*c + 20 - 6. Calculate the least common multiple of v and c.
1
Suppose b + 3*r = 7*r + 18, 33 = 3*b - 5*r. Let s(u) = -u**2 + 6*u + 3. Let h be s(6). Calculate the smallest common multiple of b and 0 - (-2)/(-2 + h).
6
Let z = 1/476 + -2321/238. What is the common denominator of z and 67/20?
20
Find the common denominator of (1/16)/(((-5)/(-108))/(-1)) and 167/30.
60
Let f be (706/(-4))/((-36)/(-2)). Let n = 15448 - 139232/9. Let l = f - n. Find the common denominator of 75/22 and l.
132
Let k be 15890/(-12)*12/(-8). Let x = -1998 + k. Find the common denominator of x and -33/2.
4
Let x(u) = 4 - 2 - 8*u - 4. Calculate the least common multiple of x(-2) and 9/(45/10) + 0.
14
Suppose 2*u - 7 = 5. What is the least common multiple of 12 and u?
12
Suppose -71 = -3*n + 5*u, -n + 11 = 4*u - 7. Calculate the smallest common multiple of n and 18.
198
Let f = 37 - 55. Let u = -7 - f. Calculate the smallest common multiple of 10 and u.
110
Let u = 1687/69 - 243/46. Let k be 4/1*(-8045)/(-220). Let i = k - 147. Calculate the common denominator of i and u.
66
Let r(b) = -b + 4. What is the least common multiple of 106 and r(-16)?
1060
Let p = 2407/420 + -97/20. What is the common denominator of -45/7 and p?
42
Suppose 139 = 3*m - 266. Let f be (33/m)/(4388/199266). Let p = -2/3291 + f. Calculate the common denominator of p and 38.
10
Suppose -3*u = -5*x + 17, 2 = -3*x - 4. Let j = u + -47/2. What is the common denominator of 2 - ((-735)/(-6))/(-7) and j?
2
Let v(d) = -d**2 - 11*d - 13. Let q be v(-9). Suppose -q*h = 3*g - 8, 4*g = -2*h + 2*g + 4. Calculate the least common multiple of 3 and h.
3
Let w = -113/198 - 73/22. Let p = 459/10 - 2433/20. Let t = p - -109/4. Calculate the common denominator of w and t.
18
Suppose -16 = -4*i + 40. What is the lowest common multiple of 4 and ((-12)/8)/((-3)/i)?
28
Let f = -3321 + 16662/5. What is the common denominator of f and -52/9?
45
Let v(w) = w**2 + 8*w + 5. Let u be v(-7). Let n be -4 - u/1 - -36. Suppose 4*j - 2*a = n, 5*a = -5*j - 0*a + 35. What is the lowest common multiple of j and 4?
8
Let w(n) = n**2 - 2*n - 8. Suppose -3 = -5*g + 3*y - 2, 4*g + 2 = y. What is the smallest common multiple of 4/14*(g - -8) and w(6)?
16
Let k = -3023/10 + 1496/5. Find the common denominator of k and 55/62.
310
Let b = 495 - 6442/13. Let n = 7145 + -57255/8. Calculate the common denominator of b and n.
104
Find the common denominator of 227/12 + 10/(-15) and -53/16.
16
Suppose 0*x - 2*x = -6. Let r = 1 - x. Let p = r - 8/5. What is the common denominator of -15/7 and p?
35
Suppose 41 = 2*y + 5*d, -y + 2*d = y - 76. Suppose 0 = -5*s + k + 58, -16 = -5*s - 2*k + y. Suppose 4*h + 2 = 6. Calculate the least common multiple of h and s.
11
Suppose 5*i + 2*h - 51 = 0, 4*i - 4*h - 11 = 41. What is the common denominator of -15/8 and 1*i/2 - -4?
8
Let x(p) = -199*p + 1. Let s be x(-1). Suppose 5*f - s = -0*f. Suppose -2*g - f = -7*g. Calculate the least common multiple of g and 8.
8
Let q be 6/(-21) + (-114)/(-7). Let v be q*(-2 - (-15)/(-6)). Find the common denominator of 597/v + (-2)/6 and 13/4.
8
Let w(b) = b**2 - 3*b + 3. Let r be w(3). Suppose 2*h - 1 = -k + 6, r*k + h - 6 = 0. Suppose 13 = 2*n + 5. What is the lowest common multiple of n and k?
4
Let r = -37057/3 + 12494. Let s = 1607/12 - r. Find the common denominator of 59/6 and s.
12
Suppose 5*w - 16 = -1. Let g = 3 - w. What is the common denominator of (74/(-12))/(-1) - g and 57/22?
66
Suppose -5*w + 33 = -3*c, 5*w = 2*c + 3*c + 25. What is the lowest common multiple of 27/6*2*1 and w?
9
Let v = 101 - 708/7. Let q(b) = -b**3 + 15. Let d be q(0). Find the common denominator of v and ((-3)/d)/((-2)/(-26)).
35
Let u(h) = -h**3 - 9*h**2 - 9*h - 6. Let k(n) = -n**3 - 2*n - 8. Let t be k(0). What is the smallest common multiple of u(t) and 8?
8
Calculate the smallest common multiple of 24/3 + 3 + 3 and 42.
42
Let f be ((-2)/4)/((-146)/164). Let u = f - 3895/1606. Calculate the common denominator of u and 99/10.
110
Let o be 6780/(-10143) - 4/(-6). Let y = 86763/9016 - o. Find the common denominator of (-12)/18 - (-82)/8 and y.
24
Let x be 2/(-2*2/14). What is the common denominator of (-209)/(-24) - 6/(-9) and x/(-6)*(2 + 0)?
24
Let d be ((-6)/(-10))/((-6)/(-30)). Let v be 2*-1*-1*2. Suppose -5*x = d*f - 14 - 19, 2*x - v*f = 8. What is the least common multiple of 9 and x?
18
Let l = -99821/2662 + -2/1331. Let y = 64 + -38. Calculate the common denominator of l and (-1 + 0)/(7/y).
14
Let a be 4*3/(7 - 1). Suppose 3*b = a*i - b - 12, -2*i + 5*b + 11 = 0. What is the lowest common multiple of 22 and i?
88
Suppose 0 = -3*x - 5*a - 70, 2*x - 2*a - 3*a + 30 = 0. Calculate the lowest common multiple of 1 and (-132)/x - 2/(-5).
7
Suppose -6 = 3*t - 48. Let r = -15 - -9. Let m(w) = w**3 + 7*w**2 + 4*w - 8. Calculate the lowest common multiple of m(r) and t.
28
Suppose -o = -3*m - 0*m - 12, 3*o = -4*m + 10. Calculate the least common multiple of o and 16.
48
Find the common denominator of -2 + -2 + (-117)/(-4) and 79/8.
8
Let t = 357/739 + 2464997/3695. Let a = t - 670. Let i = 16685/7 - 2388. Calculate the common denominator of i and a.
35
Suppose -2*n + 48 = -5*b, -13 = -3*n - 2*b + 21. Suppose 0 = 5*h - n - 16. What is the least common multiple of 22 and h?
66
Suppose 5*n = -0*n + 15, -76 = -5*g - 2*n. What is the least common multiple of g and 12?
84
Suppose 2*i - 5*i = 0. Let t(q) = -q**3 + 18. Suppose 0 = -552*z + 541*z + 198. Calculate the lowest common multiple of t(i) and z.
18
Let x = -63 + 15. Calculate the common denominator of -41/10 and x.
10
Suppose -3*g = 4 - 10. Suppose -4*n = 2*d - 30, 4*n + 2*d - 12 = 3*n. What is the smallest common multiple of g and 3/(-2) + 57/n?
8
Let i(l) = l**3 - 5*l**2 - 5*l - 6. Let q be i(6). Suppose -3*p = -q*p - 36. Calculate the smallest common multiple of p and 910/77 - (-2)/11.
12
Suppose 5*b = i + 11, 5*b + 0*i = 5*i + 15. Let d = 7 + b. What is the lowest common multiple of 5 and d?
45
Let t(v) = -v**3 + 2*v**2 - 2*v + 2. Let c be t(3). Let y = c - -27. Calculate the lowest common multiple of y an