
Suppose -5*i + 0*m + 3944 = 4*m, i = 5*m + 783. Let w be 2/(-11) + i/(-264). Let c = w - -53/66. Calculate the common denominator of c and -48/5.
55
Suppose -6*j + 2*j - 106 = -2*i, 5*i - j - 238 = 0. Suppose -3*h = -125 + i. What is the lowest common multiple of 18 and h?
234
Suppose -k + 4*z - 7 = 0, 5*z = -1 + 11. Suppose 19 = 2*f + 3. What is the lowest common multiple of k and f?
8
Let f = -60821/110 - 417/55. Let w = -597 - f. Calculate the common denominator of w and -45/4.
4
Suppose -2*y - 2*k = -5*k - 3, 2*y + 2*k - 8 = 0. Suppose y*u + n - 114 = -3*n, 4*n = 0. What is the common denominator of (-129)/4*(-10)/(-75) and u?
10
Suppose -31 + 1 = 3*t. Let f = 1/815 + -77427/1630. Calculate the common denominator of t/4*(-1)/(-10) and f.
4
Let l = 5586/13 + -149990/351. Find the common denominator of l and 71/2.
54
Let l = 392 - 4319/11. Let a be (-2)/(-6) - (-2534)/(-132). Let b = -26/11 - a. Calculate the common denominator of b and l.
22
Let z be (-650)/(-45)*275/606. Let r = z + 2/2727. Calculate the common denominator of -43/10 and r.
90
Let f be (0*(-4)/8)/(-1). Let b be 6/15 + (-16)/(-10). Let d = f + b. Calculate the least common multiple of 3 and d.
6
Let l = -17 + 35. Let y be (-1)/(-4) - l/8. What is the common denominator of (-1 - 74/20)*y and -71/10?
10
Let q = -1003 - -2953/3. Let p(o) = -o + 4. Let a be p(-3). Find the common denominator of 13/(-4)*(-8)/a and q.
21
Suppose -1590 = i + 1320. Let n = i + 14501/5. What is the common denominator of n and -19/2?
10
Let a = -5930 - -3759. Let u = -10902/5 - a. What is the common denominator of u and (-3)/((-60)/(-226)) - 0?
10
Let p = 1121290/209 + -5365. Let i = p - 11117/1672. Find the common denominator of -43 and i.
8
Let p = 19981 + -279619/14. Find the common denominator of p and (-136)/(-10)*24/48.
70
Let b(a) = a - 6. Let v be b(4). Let r = v - -10. What is the smallest common multiple of r and 3?
24
Let u = -10 - -14. Let c be 1 + u*(-1)/2. Calculate the common denominator of -5/4 and c + (-3)/(12/86).
4
Let r be 12 + (-1 - -3) + 0. Let u = r + -5. What is the lowest common multiple of 8 + -1 - (3 - 5) and u?
9
Let b = -22 - -32. Find the common denominator of 3/6 + (-125)/b and 43/11.
11
Suppose -y = u - 7 - 2, 36 = 4*u + 2*y. Let h(s) = 2*s + 1. Let v be h(2). Suppose -45 = -0*l - v*l. Calculate the least common multiple of u and l.
9
Calculate the common denominator of (2/(-48))/((-42)/532) and 49/8.
72
Let p(l) be the second derivative of -l**5/20 + l**4/3 + 5*l**3/6 - 2*l. Calculate the lowest common multiple of p(4) and 12.
60
What is the common denominator of -31/40 and 3 + 10/44*5?
440
Let g be (-2309242)/519597 - (2 + 0). Let p = g + -2/13323. Let r = -94 - -531/5. What is the common denominator of p and r?
45
Suppose 372 = 3*k + k. Let a(r) = -4*r**3 - 1. Let x be a(1). What is the common denominator of x/10 - k/(-8) and 41/10?
40
Let d be 0/(-1) + 2144/11. Let f = 194 - d. Calculate the common denominator of 26/11 and f.
11
What is the common denominator of 89/20 and (3/24)/(3/(-238))?
60
Let c be (-47)/15*102/(-88). Let s = -79/11 + c. Find the common denominator of s and -13/6.
60
Let l = 386 + -4625/12. Find the common denominator of 95/6 and l.
12
What is the common denominator of 49/20 and 4 + (-204)/80*2?
20
Let w(r) = 3*r - 1. Let d(i) = -3*i. What is the lowest common multiple of d(-1) and w(4)?
33
Let n = 1925071/380 - 100368/19. Let f = n + 853/4. Calculate the common denominator of 2 - (59/8 + 0) and f.
40
Suppose 49*t - 800 = 45*t. What is the smallest common multiple of t and 4?
200
Let z(k) = -k**3 - 6*k**2 - 2*k - 6. Suppose -2*n - 34 = 4*m - 0*n, 3*n = m - 9. Calculate the lowest common multiple of z(m) and 4.
12
Let d(v) = -v**3 - 13*v**2 - 19*v - 10. Let l be d(-13). Find the common denominator of (6/72)/(5/l) and 83/10.
20
Suppose 1 = 6*o - 5*o. Let d = 2 - -8. What is the common denominator of o and 46/24*d/(-1)?
6
Let k = 737 + -6691/9. Let h = 62/9 + -128/9. Let p = h + 173/15. Calculate the common denominator of k and p.
45
Let b = -787/1010 - -8/101. Let i(x) = -25*x**2 - 1. Let r be i(-1). Find the common denominator of 1/((-9)/r)*3 and b.
30
Let h(x) = x**3 + 10*x**2 + 13*x + 12. Calculate the smallest common multiple of 15 and h(-8).
180
Let k = -17 - -31. Suppose -4*z + 64 = 4*s, 72 = z + 2*z - 3*s. Calculate the least common multiple of k and z.
140
Let u = -317 + 1819/6. Calculate the common denominator of u and -43.
6
Suppose 2*x + 226 = 230. Calculate the least common multiple of 64 and x.
64
Let a = -15 - -23. What is the least common multiple of a and (-19 - -9)*1/(-1)?
40
Let f(j) = j**3 + 6*j**2 - j - 12. What is the least common multiple of f(-5) and 10?
90
Suppose -q + 5*v - 29 = 0, 0 = -2*q - 4*v + 1 + 11. Let b(d) = d**3 + 5*d**2 + 2*d - 5. Let j be b(-4). Find the common denominator of -67/9 and j/15 - (-2)/q.
90
Suppose -c - 4*k = 0, 1 = 2*c + 2*k - 23. What is the least common multiple of 50 and c?
400
Let b be (-21)/(-9) - (-2)/(-6). Suppose -b*d + 3 = -3*z, -z = -d - 3*z + 19. What is the smallest common multiple of d and 8?
72
Let p = -151615/36 - -16897/4. Let f = p + -74/9. Let z = -38201/10 + 3814. Find the common denominator of f and z.
10
What is the common denominator of -23/3 and -3 - 267/30 - 4/(-10)?
6
Let q(v) = v + v - 4*v. Let z be q(-1). Suppose -z*a + 110 = 3*a. Calculate the least common multiple of a and 8.
88
Suppose a = 2*v - 1, 4*v + 2*a - 6 = 8. Let k be (-36)/(-2 - 1) + -2. What is the smallest common multiple of v and k/2 - (-2 + 1)?
6
Let j(w) = w**2 - 4*w - 2. Suppose 3*p - 22 = 2*y, 4*y - 3 - 19 = -5*p. Calculate the smallest common multiple of j(p) and 34.
170
Calculate the common denominator of (-471)/122 + 2 + (3 - 1) and -41/2.
122
Let n(i) = -3*i - 2. Let u be n(-7). Let g = u - 1. Suppose 4*a + a + g = 2*q, 2*q - 2 = -3*a. Calculate the least common multiple of q and 10.
20
What is the common denominator of -63/10 and 1/(-3) - 1743/252?
20
What is the common denominator of 71/9 and ((-4)/(-10))/((-10)/(-725))?
9
Let l(f) = -f**3 - 5*f**2 + f + 5. Let p be l(-5). What is the lowest common multiple of 9 and 5 + p + (0 - 1)?
36
Calculate the common denominator of 131/70 and (-1 - 25/(-14)) + 1.
70
Suppose -t + 22 = 4*w, 0 = -5*t + w + 3 + 2. What is the least common multiple of 22 and 24 - (0 + 4/t)?
22
Let k(t) = t + 10. Let p be k(-7). Suppose p*d + 10 = 4*n + 4*d, 5*n - 4*d - 23 = 0. Find the common denominator of (-4)/((81/24)/n) and 23/6.
18
Let t = -14 + 23. Let u(q) = 2*q**2 - 4*q + 2. Calculate the smallest common multiple of u(2) and t.
18
Let c(b) = 5*b**2 - 2*b + b**3 - 11*b**2 + 3*b + 1. Let p be c(6). What is the common denominator of 47/10 and (p/35)/(24/230)?
60
Suppose -21 + 7 = -7*w. Suppose -j + w = 5*u, 5*j - j - 8 = 4*u. Suppose -67 - 23 = -5*o. Calculate the lowest common multiple of o and j.
18
Let t = -223/30 + 39/5. Find the common denominator of t and -109/6.
30
Let l = -61 - -33. Calculate the common denominator of -25/2 and 16/10*(-120)/l.
14
Find the common denominator of (-7 - -4) + (-3 - (-297)/12) and -53/28.
28
Let g(j) = -4*j**3 + 6*j**2 + 4*j - 4. Let d be g(-4). Suppose -y - d = -4*x, 3*y + 1052 - 56 = 2*x. Find the common denominator of 2/(-3) - y/(-24) and 24.
2
Suppose 2*i - 4*i = -22. What is the least common multiple of 10 and i?
110
Suppose 0 - 4 = 4*j, -3*g = 3*j - 3. What is the least common multiple of 58 and g?
58
Let o(s) = -4*s**3 - 6*s**2 + 3*s - 12. Let j be o(-6). Let m = 261/46 - -13221/23. Let g = m - j. Find the common denominator of g and -63/2.
2
Let f(q) = -q - 4. Let v be f(-6). Calculate the common denominator of 2073/330 + 2/(-11) and ((-45)/25)/(v/55).
10
Let u = 24/20095 - 82932257/160760. Let c = 517 + u. Calculate the common denominator of 1/5 and c.
40
Let q be ((-1606)/10)/(4/10). Let z = -375 - q. What is the common denominator of 148/6*(-6)/56 and z?
14
Let l be 2 + -2 - (92 + -2). Find the common denominator of 178/l + (-8)/36 and -41/7.
35
Suppose 0 = 2*r + 3*r + 4*h - 49, -2*r + 23 = 5*h. What is the smallest common multiple of r and 18?
18
Let p = 23 + -14. What is the least common multiple of 30 and p?
90
Let c(s) = -s**2 + 12*s - 16. Calculate the least common multiple of 6 and c(8).
48
Let b(x) = -x**2 + x + 6