Let r = -667/5 + 2463/20. Let f = 205/7 - 1376/63. Calculate the common denominator of r and f.
36
Find the common denominator of -109/110 and (-4206)/4320 - (-60)/54.
880
Let v = 674 + -673. What is the smallest common multiple of v and 11?
11
Let f(l) = l**2 + l + 3. Let d be f(0). What is the smallest common multiple of 3 and (3 + 0)*1/d?
3
Let i = 31 - 21. What is the common denominator of (i/9)/(4/(-60)) and -61/2?
6
Let m(w) = -w**3 + 42*w**2 - 78*w - 66. Suppose j = -7 + 27. Calculate the smallest common multiple of j and m(40).
140
Let n = 87 - 51. Let t be n/(-8) + (-6)/4. What is the smallest common multiple of 3 + t + (20 - -1) and 14?
126
What is the common denominator of 17/44 and (-57)/(-152)*(-1916)/(-114) + -7?
836
Suppose -4*j - 2804 = 5864. Find the common denominator of 0/(-2) - 62/32 and (-2)/10 - j/(-990).
144
Let s = 3 - -3. Calculate the lowest common multiple of s and (-2 - (5 - 4))*19/(-3).
114
What is the common denominator of (-1059)/1080 - (-7)/((-63)/4) and 23/4?
40
Suppose 4*a + 5*y + 13 = 740, 3*y = 5*a - 955. Calculate the lowest common multiple of 22 and a.
2068
Let t(c) = -2*c + 1. Let w be ((-12)/8 - -1)*4. What is the lowest common multiple of t(w) and (-66)/(-6) - 1*(0 - -4)?
35
Find the common denominator of 35 and (-1)/6 + (-2 - (-1660)/528).
44
Suppose 42*p - 1944 = 33*p. What is the smallest common multiple of p and 56?
1512
Suppose 0 = -2*w + 1 - 9, -4*m + 4*w = -416. Suppose -m = -4*k - 92. Suppose 0 = c - 0 - 1. What is the lowest common multiple of k and c?
2
Suppose -2*l = -j - 134, -4*l = -3*l + 2*j - 57. Suppose f = k + 37, -f = 2*k - 0*f + l. What is the smallest common multiple of 1/2 - k/4 and 3?
9
Let y be 2/11 + (-180)/22. What is the common denominator of 37/12 and (-230)/y*18/(-27)?
12
Let w(c) = -5*c**2 + 5. Let v be w(2). Let s = 27 + v. Calculate the least common multiple of s and 3.
12
Let f be (8995/20)/(11/76). Let d = f + -3112. Calculate the common denominator of 10*1/((-90)/8) and d.
99
Suppose -p + 12 = 2*p. Suppose -p*c + 0 = 12. Calculate the common denominator of (686/20)/(-7) + c and -29/4.
20
Let d = -4244/5 - -842. Calculate the common denominator of d and 31/8.
40
Let f(i) = 10*i**3 - 14*i**2 + 7*i**2 + 5*i + 3 - 11*i**3 + 11*i**2. What is the least common multiple of f(5) and 9?
9
Let t = -4897/3816 - -49/477. Find the common denominator of 86/63 and t.
504
Suppose -86*h = -83*h - 5*z - 174, -2*h + 114 = -4*z. Calculate the lowest common multiple of 77 and h.
693
Let z = 2 - -2. Suppose -n - z*p + 13 = -159, -182 = -n + p. Find the common denominator of -67/8 and (-16)/(-72) - 562/n.
40
Let v = -476800 + 232678483/488. Calculate the common denominator of -1/671 and v.
5368
Let p(t) = -4*t - 4. What is the least common multiple of 64 and p(-8)?
448
Let a(s) = 2*s**2 - s - 2. Let q be a(-2). Let d(v) = 7*v - 20. Let c be d(q). Let n = 40 - c. Calculate the smallest common multiple of n and 6.
12
Suppose 38*i + 10384 = 97*i. What is the smallest common multiple of 11 and i?
176
Let u = 1171 + -35023/30. Find the common denominator of 1/18*(-27)/((-378)/868) and u.
90
Let p = 12 - 9. Suppose 5*d - p*d - 4 = 0. Suppose -d*w + 10 = 3*w. Calculate the least common multiple of w and 14.
14
Let t = -1 + 6. Suppose 5*g - d = -5*d + 24, 5*g - t*d = 60. Let y = 18 - g. What is the smallest common multiple of y and 5?
10
Let a = 176 - 487/3. Let l be -1124*(-5)/(6950/12). Let r = l - 1/278. Find the common denominator of r and a.
30
Let v = -2534/11 - -230. Let h = -68364 + 276649/4. Let b = h + -822. What is the common denominator of b and v?
44
Let w(f) = f**2 - 2*f - 13. What is the lowest common multiple of 55*((-2)/5)/(-1) and w(5)?
22
What is the common denominator of -31/220 and (2883/176)/3 + (-365)/73?
880
Suppose 3*w + 8 = -1. Let z(l) = l**3 + 4*l**2 + 2*l + 3. What is the least common multiple of z(w) and (60/(-18))/((-2)/9)?
30
Let o(u) be the first derivative of 2*u**3/3 - 11*u**2/2 + 7*u - 7. Calculate the smallest common multiple of 12/(-4) - (-2 - 10) and o(5).
18
Let l(c) be the third derivative of c**5/60 + 11*c**4/12 + 7*c**3/3 - 5*c**2 + 1. What is the lowest common multiple of 10 and l(-22)?
70
What is the common denominator of 93/4 and 474/(-208) - (-9)/3?
104
Let p(z) = 21*z**2 - 9*z - 23. Calculate the lowest common multiple of 2 and p(-2).
158
Let f = 25 - -782. What is the smallest common multiple of f and 6?
1614
Let s = -24410201/14 - -1740930. Let r = 2654 + s. What is the common denominator of r and 31/4?
28
Let y(c) = c**2 + 20*c - 16. Let u be y(-17). Let m = u - -70. Let b = -7 + 12. Calculate the smallest common multiple of m and b.
15
Let o be ((-24)/10)/(4 - (-942)/(-240)). Find the common denominator of 51/4 and (36/o + 0)/((-18)/39).
16
Suppose f = -0*f + 12. Suppose -903 = -38*w - 143. Calculate the lowest common multiple of f and w.
60
Let r = 70 + -70. Let u(j) = j**2 - 3*j - 43. What is the common denominator of 4/9 and u(r)?
9
Let x(a) = -2*a. Let g be x(-2). Let u = -24691 + 493703/20. Find the common denominator of (0 - (-249)/(-78)) + g and u.
260
Suppose -5*z - 4*q - 6546 = 6694, 0 = 3*z - 3*q + 7944. Calculate the common denominator of 2 + z/192 + (-1)/3 and 1/30.
120
Suppose -5*d + 0*d = 210. Find the common denominator of 34/3 and 122/d + (0 - -3).
21
Suppose 6 = o - 5. Let k = -8 + o. Suppose 3*s + k = 6, 0 = -2*v + 2*s + 16. What is the least common multiple of 10 and v?
90
Calculate the common denominator of 5272/(-1738) + 69/23 and -81/4.
3476
Let s(m) = 2*m**2 + 5*m + 6. Calculate the least common multiple of s(-4) and 7*(1 - 6/(-3)).
126
Let y(q) = -8*q - 36. Let v be y(-6). What is the common denominator of 8/27 and 71/(-6)*2/v*2?
54
Let w(b) = b**3 + 5*b**2 + b - 7. Suppose 9 = -20*f + 17*f. What is the lowest common multiple of w(f) and 44?
88
Let f = 479830/63 - 7616. Calculate the common denominator of f and 49/11.
693
Let f(a) = -16*a - 92. Calculate the lowest common multiple of f(-6) and 9.
36
Let p(r) = r + 10. Let b = 6 - 11. Calculate the least common multiple of p(-6) and 1/b + (-56)/(-5).
44
Let x(u) = -2*u + 2. Suppose 42*i - 45*i = -372. Let g = i - 116. What is the least common multiple of g and x(-3)?
8
Let b = 5881 - 58749/10. Let l = 1/11046 - 29588/5523. What is the common denominator of b and l?
70
Suppose -2*p = 4*i + 3*p - 9, -i - 2*p = 0. Let f be (-16)/i*(-5 + 2). What is the smallest common multiple of 10 and 142/f - (-1)/4?
90
Suppose 8 = 2*t + 2*t. Suppose t*z - 4*m - 20 = 0, 2*z - 7*m = -2*m + 24. What is the least common multiple of 5 and z?
10
Calculate the common denominator of (1 - 4) + (232/180 - -3) and 71/120.
360
Suppose -2*u = -4*u - 30. Let i be (-2)/((-18)/u)*-3. Suppose 6*s = i*s + 14. Calculate the lowest common multiple of 14 and s.
14
Let n(s) = -s - 8. Let d be n(6). Let l = -8 - d. What is the smallest common multiple of 6 and (-20)/(2 - l) + -1?
12
Let w be 2012/18 - (-4 + (-136)/(-36)). Suppose 7*j + 0*j = w. Calculate the smallest common multiple of 44 and j.
176
Let f be 2/7 + (-114)/(-42). Let r = 6 - f. What is the least common multiple of r and 2?
6
Let h = -140 - -150. Calculate the least common multiple of h and ((-16)/(-5))/((-16)/(-40)).
40
Suppose -1 = -a, 5*a = -2*i - i - 319. What is the common denominator of i/22 + 3/6 and 426/80*8/(-84)*7?
220
Let n = 260 - 2269/9. Find the common denominator of -89/166 and n.
1494
Calculate the smallest common multiple of 52 and 6/(-8)*-20*(-18)/(-15).
468
Let o = -6956133/106 - -65623. Calculate the common denominator of 73/6 and o.
318
Suppose 4*k - k = 12, 25 = 3*i + 4*k. What is the lowest common multiple of i and 9?
9
Let u be ((-12)/(-42))/(2/7) + 24. Suppose -5*i = q - 20, -8*q + 3*q = -u. Calculate the least common multiple of 10 and i.
30
Let y = 2366 - 33223/14. Suppose -6*b = -b - 180. Find the common denominator of y and 0/(-2) - 302/b.
126
What is the least common multiple of 22 and 12/(-9)*(-90)/120?
22
Let y = 79 + -137. Let s = -38 - y. What is the smallest common multiple of s and 2?
20
Let x(k) = 17*k**2 - 1. Let l be 3 + 0 + (-4)/1. What is the least common multiple of 28 and x(l)?
112
Let i(c) = -2*c**3 - 4*c**2 + 9*c + 23. Let b be i(-7). What is the common denominator of (-4)/(-18) - (5 + (-1205)/b) and 56/