 n = -89/28 + -99/28. What is the common denominator of n and ((-5)/8)/(1/38)?
28
Let k(g) = g**2 - 2. Let t be k(-2). Suppose 0 = t*v + 4*s + 5 - 29, v = 4*s - 18. What is the least common multiple of 10 and v + 51/3 + 1?
20
Suppose 4*c - 11 = 13. Let q be 4/(-6) - (-40)/c. Calculate the lowest common multiple of 11 - q/9*3 and 9.
9
Let p(i) = -i**2 - 9*i - 9. Let j be p(-8). What is the smallest common multiple of ((-3)/9)/(j/21) and 1?
7
Let y = 103/6 - 307/24. What is the common denominator of y and 7/11?
88
Let n(g) = -g**2 + g - 665. Let i be n(0). Let d = 261342 + -1834057/7. Let w = d - i. What is the common denominator of 23 and w?
7
Let d(a) = a**2 + 4*a - 8. Let x(c) = c**2 - 1. Let p(j) = -d(j) + 2*x(j). Let z be p(4). What is the lowest common multiple of 2*-3*(-2)/z and 5?
10
Suppose p - 5*k + 13 = -14, 5*p - k + 111 = 0. Let c = 68 + p. What is the common denominator of 53/9 and c/(-90) - (-4)/10?
9
Suppose -5*f - 5*i = -2*f - 33, 0 = 5*f - 5*i - 55. What is the smallest common multiple of f and 27?
297
Let u = 63 + -43. Suppose 4*p - p - 2*x = u, -3*p - 2*x = -4. What is the least common multiple of 4 and p?
4
Suppose -3*p + 18 = 3*s, 2*s + 0*s - 18 = -4*p. Let a(d) = -d**3 - 15*d**2 - 38*d - 17. Calculate the lowest common multiple of a(-12) and s.
21
Let t(p) = -5*p - 1. Let f be t(1). What is the smallest common multiple of (-4)/12 + (-38)/f and (1 + 9 - 1) + 0?
18
Let s = -1874 - -20591/11. What is the common denominator of s and -89/4?
44
Let t(l) = -4*l + 41. Calculate the lowest common multiple of t(8) and 10.
90
Suppose 5*s = s + 3*k + 23, -4*s + k + 21 = 0. Suppose -3*t = s - 2. Calculate the lowest common multiple of 7 + (0/t - -1) and 8.
8
Let k = 856276775/8632962 - -830/36893. Let w = k + -1198/13. Calculate the common denominator of w and -93/8.
72
Find the common denominator of (-205)/42 + 2/3 and (-6)/(-1)*34/(-8).
14
Let v(c) = c**2 - 4*c - 2. Let b be v(6). What is the least common multiple of 7 and 0 + (b*3)/3?
70
Let m = 16 + -8. Suppose -5*p + 23 = -d, 8*p + 2*d = 3*p + 14. What is the lowest common multiple of m and p?
8
Let o be (-9 - -11)*3/2. What is the smallest common multiple of 16 and (1 - (o - 2)) + 6?
48
Let c(k) = -5*k + 79. Calculate the smallest common multiple of 1 and c(11).
24
Calculate the common denominator of -47/15 and 106/4*6/54*-6.
15
Let d(c) = c**3 + 3*c**2 - c + 1. What is the least common multiple of 12 and d(-3)?
12
Let f(k) = -9*k**3 + 4*k + 3. What is the least common multiple of f(-1) and 16?
16
Suppose -20 = -5*x - 5*z, -z + 36 = 5*x - 0*z. Calculate the lowest common multiple of x and 4/(-10) + (-204)/(-10).
40
Let b(a) = -8*a + 3. Let n(u) = -41*u + 16. Let c(l) = 11*b(l) - 2*n(l). What is the smallest common multiple of 1 and c(-1)?
7
Let g = -141757/52 - -2725. Find the common denominator of g and -101/20.
260
Suppose 3*o + 0 = 9. Suppose -o*g - 2 + 33 = 2*x, -2*x + 21 = g. Let h = 8 - 3. What is the least common multiple of h and x?
40
Let q(p) = -p**2 - p - 1. Let i be q(0). Calculate the least common multiple of (33/(-6))/(i/2) and 8.
88
Suppose -7*t = 6*t - 234. Let b(z) = -z**2 + 9*z - 6. Calculate the lowest common multiple of b(5) and t.
126
What is the lowest common multiple of 35 and 9/((-1)/8*(-12)/5)?
210
Let y(b) = -b**3 - b**2 + b + 4. What is the lowest common multiple of y(-2) and 12?
12
Suppose -31*j = -27*j - 64. Calculate the lowest common multiple of j and 106.
848
Let g = -5/269 + 3019/3228. Find the common denominator of -95/8 and g.
24
Suppose 0 = -4*a + 4*y + 80, -3*y - 133 = -5*a - 37. Calculate the lowest common multiple of a and 27.
54
Let b(t) be the second derivative of -t**5/20 + 2*t**4/3 + t**3/3 - 6*t**2 - 8*t. What is the lowest common multiple of 4 and b(8)?
4
Let p be 2/((-2 + 0)/(-14876)). Let c be 3 + (1 - (-602474)/p). Let w = 1/3719 + c. Find the common denominator of -11/9 and w.
18
Suppose -c + l = -2, -3*c + 0*c + l = -8. Suppose -c = -o - 4. Let x = o + 5. What is the smallest common multiple of 8 and x?
8
Let b = 19 + -13. Suppose 0 = -2*r + 10, -l - 3*r = -4*l - 6. What is the least common multiple of l and b?
6
Find the common denominator of 5/75*(-5)/(-2) and 91/8.
24
Let s = -221 - -137. Find the common denominator of 31/20 and (1/15)/((-8)/s).
20
Suppose -9*t - 4*p + 12 = -8*t, 2 = p. Calculate the least common multiple of t and 2.
4
Find the common denominator of ((-282)/(-32))/((-15)/(-4)) and 119/50.
100
Suppose -5*p + 5*q = 65, 2 = 5*p - 2*q + 52. Let g = -7241/11 + 659. Find the common denominator of g and (106/(-15))/(p/10).
66
Let z be 11/(-2)*(-25 - -21). Let t = -3 + 2. What is the common denominator of -57/2 and 148/z - (t + 3)?
22
Let r be (-48)/(-32) - 4604/(-417). Let q = -52/139 + r. What is the common denominator of -52/3 and q?
6
Let c = -3 - -7. Suppose -3*r + j + 24 = 0, -2*r + 3 = -4*j - 13. What is the least common multiple of r and c?
8
Calculate the common denominator of ((-9)/116*-2)/((-63)/(-483)) and 25/7.
406
Calculate the common denominator of (2 - 2) + (-69)/(-27) and 9/2.
18
Suppose 3*r + 18 = -2*x + 7*r, 5*r - 23 = 2*x. Calculate the least common multiple of 6 and x.
6
Let l = -515647/28 + 18420. What is the common denominator of (-4)/6 + (-483)/72 and l?
56
Let j = 63/5 + -507/20. Suppose -3*o + 5*o + 4 = 0. Calculate the common denominator of j and ((-285)/9)/(o/3).
4
Suppose -n = -5*a - 0*a + 21, -3*n + 2 = -2*a. Calculate the smallest common multiple of 4 and n.
4
Let z(g) = g**3 - 3*g**2 - 7*g + 7. Suppose -43 = -5*o + 47. Let h = -13 + o. What is the lowest common multiple of 16 and z(h)?
176
Calculate the common denominator of 37/22 and (-2)/(-4) + (-374)/120.
660
Suppose -3*c = c. Let l(m) = -m + 2. Let f be l(c). Calculate the common denominator of 146/4*f/8 and 39/8.
8
Let g be 5/((-25)/294) - 2. Let u = g - -4351/70. What is the common denominator of u and (2 - 2) + (-55)/(-12)?
84
Let s = -5090 - -50849/10. What is the common denominator of s and ((-147)/(-2))/(-7) + 0?
10
Let c = 2273 - 15857/7. Calculate the common denominator of -58/5 and c.
35
Let z = 50 + -49. Suppose 3*y = 5*d + 5, -5*y + 35 = -d - 2*d. Calculate the lowest common multiple of y and z.
10
Find the common denominator of 3/(54/85) - (-1)/(-1) and 5/58.
522
Let s = -7 + 10. Suppose 3*w = -3*o - 5448, -2*w = 13 - s. Let n = o + 7209/4. Find the common denominator of 55/12 and n.
12
Suppose -144 = -2*k - 0*k. Let a be ((-9)/12)/(4/32). Calculate the smallest common multiple of (2/(-4))/(a/k) and 7.
42
Let k = -129 - -664/5. Let j(i) = -2*i**2 - i + 3. Let h be j(-3). Find the common denominator of (0 + 38)*(-8)/h and k.
15
Suppose 0 = -5*w + 5*i + 20, 0 = w - 0*w + 3*i. Suppose 9 = 2*n - 3*j, -n = -j + 4*j - 18. Calculate the lowest common multiple of n and w.
9
Suppose -4*l = -3*u + 24, -5*l + 4*u - 30 = 8*u. What is the common denominator of l and 33/8?
8
Let o be 2470/119 - 8/28. Let m = o - 439/102. Find the common denominator of 75/2 and m.
6
Suppose -3*f = 5*d + 2 + 6, 3*d = 4*f - 28. What is the least common multiple of 7 and f?
28
Let m(d) = d + 4. Let z be m(0). Suppose -3*q = 5*k - 58, 4*k + 7 = z*q - 17. Let h = -6 + q. Calculate the smallest common multiple of 7 and h.
35
Calculate the smallest common multiple of 8 and (48/(-32))/(2/(-12)).
72
Let i be ((-87)/(-9))/((-2)/(-6)). Let k = 43 - i. Calculate the lowest common multiple of k and 2.
14
Let i = 498494913923/57336820 + -16/2866841. Let c be ((-48)/(-4))/((-2)/((-8696)/6)). Let f = i - c. What is the common denominator of f and -41/10?
20
Suppose 0*s = a + 5*s, -26 = -5*a + s. Let x = 2 - 2. Suppose -3*l + x*l + 24 = 0. Calculate the least common multiple of l and a.
40
Let r(w) = -95*w**2 - 10*w - 7. Let f be r(10). Let u = -153643/16 - f. Calculate the common denominator of 7/10 and u.
80
Let z = 37 - 34. What is the smallest common multiple of 54 and z?
54
Let d = 22/35 - 793/70. Let m = -236 - -551/2. What is the common denominator of m and d?
10
Let w(d) = 2*d - 2. Find the common denominator of w(1) and -2/11.
11
Let x(v) = v**3 - 2*v**2 - 2*v. Let g be x(3). Let y = g - -15. What is the least common multiple of 4 and y?
36
Suppose 4*n - 20 = -3*m, -n - 4 - 2 = -2*m. Let h be (-2)/9*(-498)/m. Let l = -115/3 + h. Calculate the common denomi