53. Let t be 4/(-14) + d/14. What is the common denominator of (-8)/t - 53/6 and 91/18?
18
Let v(q) = q**2 + 7*q + 6. Let j be v(-4). Let p be 2/(j/(-9) + 0). Suppose -p*x + 0 = -3. Calculate the least common multiple of 11 and x.
11
Let f = 1927/8 + -243. Calculate the common denominator of -7/4 and f.
8
Let x = -161416/3 + 8878697/165. Let f be 1/(-4) + 226/(-120). Let o = f + x. What is the common denominator of o and 5/11?
11
Suppose -1 = -4*j + 63. Suppose -2*p + 0*p = -36. What is the lowest common multiple of p and j?
144
Let i = 109795/2524 - 1/2524. Let b = 622 - 1279/2. Let l = -107/4 - b. Calculate the common denominator of l and i.
4
Suppose k = 5*k - 16. Suppose -44*n = -45*n + 6. Suppose -2*j = n, 0 = -k*o + 3*o - 2*j + 2. Calculate the smallest common multiple of o and 7.
56
Let n(d) = -43*d + 2. Let c be n(4). Let s = -16949/684 + 5/171. What is the common denominator of s and 30/(-32)*c/(-15)?
8
What is the least common multiple of 10/(-5) - (-22)/2 and 7?
63
Find the common denominator of 42/11 and (4/3)/4*(-4)/(-12).
99
Suppose -r + 28 - 75 = 0. Let q = 33 + r. Let f = 2 - q. What is the smallest common multiple of f and 12?
48
Let g = 0 + 2. Let b(t) = -t**3 + 6*t**2 + 10*t - 9. What is the least common multiple of g and b(7)?
12
Let r(i) = -121*i**2 + 6*i - 5. Let o be r(5). Let j = o - -1668. Let d = j + 5277/4. Calculate the common denominator of 79/20 and d.
20
Suppose -2*n + 38 = -4*p, -4*p - 47 = -3*n - 0*n. Calculate the least common multiple of 7 and (-99)/6*(-6)/n.
77
Suppose 0 = -w - 2*v + 10, 5*w - v - 29 = -4*v. Suppose 3*s + r - 25 = 0, r + 42 - w = 4*s. What is the smallest common multiple of 11 and s?
99
Let a(d) = -d**2 - 12*d - 7. Let b(y) = -2*y. What is the least common multiple of b(-5) and a(-9)?
20
What is the common denominator of -121/50 and 8/(-40) + (-55)/(-10)?
50
What is the common denominator of -74/9 and (-14)/20*(-6)/42?
90
Calculate the smallest common multiple of ((-108)/21)/(4 - (-295)/(-70)) and 12.
24
Let o(u) = 5*u. Let a be o(1). Find the common denominator of (-2)/a + 358/(-30) and -91/8.
24
Find the common denominator of (-2)/(-19) + (-20656)/8512 and -89/12.
84
Let f be 8/(-108)*(-82475 - -2). Let k = 6101 - f. Find the common denominator of k and (-38)/6 + 1/2.
18
Let s = -1 + 6. What is the lowest common multiple of 6/(-15) + 22/s and 21 + 1 - (1 - 1)?
44
Let s be 22/(-4) - (-4)/(-8). Let j(v) = -v**3 - 6*v**2 - 3*v - 9. Calculate the common denominator of j(-6) and -1 - ((-159)/s + 2).
2
Find the common denominator of -21/10 and (459/150)/((-24)/(-20)).
20
Suppose -5*s - 2 = -2*u, 0 = 2*s + s - u + 2. What is the common denominator of 29/6 and (5/40)/(s/106)?
24
Let g = -63579429/10 - -6366016. Suppose -5*q = -7*n + 2*n + 40330, 2*q + 40324 = 5*n. Let j = n - g. Find the common denominator of 23/12 and j.
60
Suppose -3*i = -4*u + i, -2*u + 5*i = 15. Let g be u/2 - 3/6. Suppose g*h + 2*z = 16, -21 = -5*h + 5*z + 9. Calculate the lowest common multiple of h and 11.
77
Suppose -r - 8 = -2. Calculate the common denominator of 63/10 and r/15 + 22/10.
10
Suppose 0 = 5*j - 13 + 28. Let y(c) = c**2 - 2. Let p be y(j). Let b = 10 - p. Calculate the smallest common multiple of 2 and b.
6
Suppose 5 = 5*y - 20. Let u(i) = -i + 14. Let a(f) = -f + 9. Let x(t) = y*u(t) - 8*a(t). Calculate the lowest common multiple of 3 and x(3).
21
Calculate the common denominator of (6/(-4))/(6/(-62)) and 7/104.
104
Suppose 2*x + 22 = 4*x. Let h be 2/(3/(9/(-6))). What is the least common multiple of 3/(-3) - -1 - h and x?
11
Suppose 0 = 2*k - 4*v, -5*k + 5*v = 4 - 29. What is the least common multiple of 18 and k?
90
Let v(z) = z**3 - 6*z**2 + 4*z + 6. Let a = 5 + 0. What is the smallest common multiple of a and v(5)?
5
Find the common denominator of 9/43 and (230/(-5))/(6 + 3).
387
Let b = -20 + 36. Suppose 0*l = 2*l - b. What is the least common multiple of l and 20?
40
Suppose 39 = -5*q + 2*q. Let y = 20 + q. Suppose 0 = 3*l + 3*z - 18, -3 = 4*z - 3*z. Calculate the smallest common multiple of l and y.
63
Calculate the common denominator of (5/(-2))/(-6 + (-76)/(-8)) and 23/9.
63
Let p be (-20)/(-3)*(-21)/14. Calculate the lowest common multiple of (-4)/p + (-84)/(-15) and 6.
6
Calculate the common denominator of ((-1)/(-10))/((-1)/(-41)) and 67/15.
30
Let h(n) = n**3 + 7*n**2 + 3*n + 4. What is the lowest common multiple of 14 and h(-6)?
154
Let k be -92 - (1*-8)/4. Find the common denominator of -29/9 and (-26)/(-65) + (-214)/k.
9
Suppose 0 = -3*i + 21 + 15. What is the lowest common multiple of i and 50?
300
Let w(x) = x + 6. Suppose 0 = 5*c - 20 - 10. Let h(i) = i**2 - 7*i + 7. What is the smallest common multiple of h(c) and w(3)?
9
Suppose -z + 0 = -2. Let c = z - 0. Suppose 2*t = -4*f + 34, 3*f - 5 = 4*t + 26. What is the lowest common multiple of f and c?
18
Suppose 2*z + z = -2*q + 1, -4*z - 4*q = 0. Let x(f) = 10*f**3 + 2*f**2 - 1. Calculate the lowest common multiple of ((-1)/(-1) - 0)*11 and x(z).
11
Suppose 3*v - 13 = -5*s, 5*s + 3 = -2. Let o(p) = 5*p - 6. Calculate the least common multiple of v and o(4).
42
Let o = -73127/12360 - 1/4120. Calculate the common denominator of o and -13/15.
60
Let m = -8 - -12. Calculate the common denominator of (-114)/m*5/(-105) and 82/(-40) - 2/(-4).
140
Suppose 2*b + 10 = 0, 0*h + 2*b = 5*h + 125. Calculate the common denominator of (-219)/2*(-1)/h and -77/2.
18
Let c = 17 - 5. Calculate the lowest common multiple of c and 121/6 + 1/(-6).
60
Let r be 27/(-6)*(-20)/6. Let x be (r - 1)*1/(-2). Let i = 14 + x. What is the smallest common multiple of i and 2?
14
Let s be (-6)/(-15) + (-13386)/(-135). Let q = s - 12769/126. What is the common denominator of q and -83/18?
126
Suppose 0 = 4*v - 2*v - 24. What is the least common multiple of 14 and v?
84
Let z(f) = f**3 + 7*f**2 + 5*f - 2. Let i = -22 + 16. Let n be z(i). Suppose 4 = n*a - 3*a. What is the smallest common multiple of a and 1?
4
Suppose -x - 10 + 3 = -3*v, -5*x + 2*v + 4 = 0. Calculate the lowest common multiple of 6 and x.
6
Let x(y) = y - 3. Let t be x(4). What is the smallest common multiple of 13/3 - t/3 and 3?
12
Let n = -8699/13 - -670. Find the common denominator of n and 196/(-88)*24/14.
143
Let p(d) = 2*d**2 - 2*d - 2. Let j be -1 + (3 - (0 + 0)). Let a(g) = 2*g**3 - g**2 - 2*g + 2. Calculate the least common multiple of a(j) and p(4).
110
Let c(z) = -12*z - 1. Let f be c(-1). Suppose 0*s = 3*s. Let r = f + s. Calculate the smallest common multiple of 7 and r.
77
Suppose 2*x = -2*x + 24. What is the lowest common multiple of 3*-4*(-1)/6 and x?
6
Let k(u) = -u**3 + 3*u + 2. Let i be k(3). Let t = 4/699 + -11923/6990. Find the common denominator of t and ((-4)/(-42))/(i/(-612)).
70
Let d(m) = -m**3 - 8*m**2 - 2*m - 6. Let l be d(-8). Let w(f) = f - 7. What is the lowest common multiple of w(l) and 11?
33
Suppose 56 = -4*o - 52. Calculate the common denominator of -73/16 and (-9)/(-6)*(-13)/o.
144
Suppose 3*x + 0*x - 186 = 0. Let j = 92 - x. Suppose 0 = q - 3*c + j + 9, 0 = -5*c - 5. Find the common denominator of q and 35/2.
2
Let i = 5 + 15. What is the lowest common multiple of 8 and i?
40
Let i(x) = -36*x. Let v be 12/(-18) + 1/(-3). Let z be i(v). Suppose -5*a = -8*a + z. Calculate the smallest common multiple of a and 8.
24
Calculate the common denominator of -10*(4 + 6/8) and 30/19.
38
Let u = 26 - 12. What is the smallest common multiple of 9 and u/4*(12 + -10)?
63
Let x = -4/1019 + 37739/9171. Let u be 3/4*(-23)/(-8). Let m = u - -553/352. What is the common denominator of x and m?
99
Let n be 1*((-12)/(-3) + -3). What is the lowest common multiple of 19 + (n - (-4)/2) and 4?
44
Let y = -11 + -9. What is the common denominator of 127/6 and y?
6
What is the lowest common multiple of 7 and (-10)/(-4)*4/10?
7
Let n = 10 + 4. Calculate the lowest common multiple of 92 and n.
644
Let x = -1/13116 + -478723/144276. Calculate the common denominator of x and 67/3.
66
Let v = 6 + -4. Let l = -9/488 + -888603/2440. Let u = 373 + l. Calculate the common denominator of u and v.
5
Let a(c) = -7*c**3 + 3*c**2 + 5*c - 4. Let m be a(-4). Let g = -2825/6 + m. Calculate the common denominator of g and 4 + -1 - 100/36.
18
Calculate the least common multiple of 4 and 1066/19 + (-10)/95.
56
Let d(k)