a = 236379/2 + -121025. Let l = 2781 + a. Let r = l - -58. Calculate the common denominator of -38/3 and r.
6
Suppose -57 + 65 = -2*p. What is the common denominator of 13/12 and 1/p*2938/(-91)?
84
Suppose d - 15 = 30. What is the common denominator of (-2)/(-6) - 175/(-24) and (-6)/d*2225/20?
24
Let o(r) = -r**3 - 5*r**2 + 6*r + 4. Let l be o(-6). Let c be 72/(l - (-15)/(-6)). Calculate the common denominator of 15/4 and 340/c - 4/24.
12
Suppose -4*l - x = -21, -2*x - 27 + 9 = -4*l. Suppose 4*k + l*q = 0, 3*q - 5*q - 3 = k. Suppose -1 = -r + k. Calculate the least common multiple of 2 and r.
6
Find the common denominator of 71/16 and -94 + 95 + 257/(-240) + 0.
240
Suppose -v = -2*v + 2. Suppose 0*s + v*s = 6. Let q = s - 1. Calculate the lowest common multiple of 5 and q.
10
Suppose -3*u + 24 = s, 0*s - 2*s = 2*u - 32. What is the common denominator of -49/3 and ((-3)/s + (-38)/(-216))*24?
9
Let g(o) = -o**3 - o**2 + 6*o + 5. Let n be g(-3). Calculate the common denominator of (-61)/n + 12/30 and 22/5.
5
Let f(g) = -7*g - 3. Let s be f(-1). Suppose 3*n - 66 = -5*a, 0 = a - s*n + 3 - 30. Suppose 0 = 2*c - a - 13. Calculate the least common multiple of c and 10.
70
Let z(q) = -q**2 + 8*q + 4. Let c be z(6). Let w = 26 - c. What is the smallest common multiple of w and ((-27)/(-9))/(3/2)?
10
Let j = 32511/39028 + 7/887. Find the common denominator of j and 13/12.
132
Find the common denominator of 1*250/(-48) + (-30)/(-10) and -70/27.
216
Suppose -10*g + 42 = -7*g. Suppose -9*d + g = -8*d. Let h = d + -13. What is the least common multiple of 4 and h?
4
Suppose 4*l - 53 = 7. Suppose w = 2*r + 3*r - l, 2*r - 28 = -4*w. Calculate the least common multiple of r and 48.
48
Calculate the common denominator of (-7 - -4265*(-6)/(-3366))/4 and 71/10.
5610
Let x(t) = t**3 - 17*t**2 + t - 23. Let w be x(17). Find the common denominator of 61/16 and ((-450)/(-4) - 3)/w.
16
Suppose -4*r + 8 = 0, 5*r - 17 = -q + 3. Suppose 0 = -2*a + 3*y + y - 14, -q = a + y. What is the common denominator of (-280)/(-18) + 2/a and 41/3?
3
Suppose -12 = -5*o - v, 10 = -o + 4*v + 4. Calculate the least common multiple of 54 and o.
54
Calculate the lowest common multiple of 3*(9 + -5 + 3) and 216.
1512
Let o(i) = i**3 - 7*i**2 + i + 13. Let q be o(5). Let j = q - -43. Let d(g) = g**2 + 10*g - 7. Calculate the lowest common multiple of d(-11) and j.
44
Let m = -1/4142 - -39355/24852. Calculate the common denominator of 57/2156 and m.
6468
Suppose -16*v + 57 = -19*v. Find the common denominator of -131/12 and (v/(-5))/(-2 - (-16)/10).
12
Let z(h) = -h**2 + h + 10. Suppose g - 13 + 1 = 5*x, 0 = -x - 3*g + 4. Let p be x/6 + 13/39. Calculate the lowest common multiple of z(p) and 8.
40
Let q = 8 - -1. Let k be 17/6 + 1 - 10/(-60). Suppose 0 = w + 4*h - 5, 3*w - k*h + 3*h = 15. What is the lowest common multiple of w and q?
45
Suppose -4*y + 30 + 262 = 0. Suppose -3*k + 4*k = 2*i - y, 4*k + 64 = 2*i. Calculate the smallest common multiple of 4 and i.
76
Suppose -2*r = 6 + 2, 5*d = -3*r - 32. What is the least common multiple of 6 + 25 - (d + 5) and 21?
210
Let s(n) = -2*n**2 - 13*n + 11. Suppose -7 = 3*i + 14. What is the least common multiple of s(i) and 3?
12
Suppose 8 = d - 3*d + 4*a, 4*d - 3*a = 4. Suppose -5*p + 81 = 3*g, d*g + 2*p = 134 - 40. What is the lowest common multiple of g and (-1)/(-5 - -1)*8?
22
What is the common denominator of -37/147 and 940/280*49/42?
588
Suppose -5*t = -20, 5*k - 3*t + 9 + 8 = 0. What is the least common multiple of 27 and 5*k*(-66)/30?
297
Let u = -108793/14 + 7775. Calculate the common denominator of 32/(-12) + 201/(-90) and u.
70
Let f(d) = -45*d - 105. What is the common denominator of 47/44 and f(-3)?
44
Let i(h) = -33*h**2 + 2*h - 1. Let x be i(4). Let j be (x/3)/((-2)/(-6)). Let d = j + 3143/6. What is the common denominator of d and -77/10?
30
Let k(x) = 5*x - 2. Let f = 22 - 12. Suppose 2 = -2*v + f. Calculate the lowest common multiple of k(v) and 4.
36
Find the common denominator of -1 - -1*(-125)/24 and -133/288.
288
Let r = -60 - -59. Calculate the least common multiple of 45 and 18/81 + (r - (-176)/18).
45
Let c = 31 - 27. Let k be (13/2 + -4)*c. What is the common denominator of 1 - k*2/(-24) and -37/6?
6
Suppose -54 = -5*s - z, 0 = -4*s + 2*s - 5*z + 40. Let r(b) = -b**2 + 10*b + 18. Let k = -2 + 8. Calculate the smallest common multiple of r(s) and k.
18
Suppose 0 = v + 2*h + 9, 5*v = 5*h + 19 + 11. Let w(c) = c**2 - c + 1. Let y be w(3). Suppose 2*f - y = 5. Calculate the smallest common multiple of f and v.
6
Suppose -2*f - 39 = -43. Calculate the common denominator of -1/11 and 5/35 - 60*f/154.
11
Let d(r) = r**3 - 19*r**2 + 16*r + 40. Let a be d(18). Suppose 0*x = 2*x, -a*f + 32 = 3*x. Calculate the lowest common multiple of 1 and f.
8
Calculate the smallest common multiple of 45 and 5*(48/4 + 15).
135
Find the common denominator of 1/4 - (-180)/16 and ((-25)/1050)/((-20)/(-5046)) - -5.
140
Let x be 4/(-28) - 1077/(-8127). Let v = x + -18943/1935. What is the common denominator of -43/8 and v?
40
Let h be -2*((-10)/(-4) + 2). Let q = -116/19 - -124/95. Find the common denominator of q and ((-18)/(-48))/(h/196).
30
Let k be ((-4)/(-2))/(-3 + 4). Suppose -k*f + f = -3. Suppose -f = 3*z - 27. Calculate the smallest common multiple of 2 and z.
8
What is the smallest common multiple of 1/4 + 1392/64 and 64?
704
Let m(k) = -74*k + 2. Let g be m(-4). Let f = g + -3288/11. Calculate the common denominator of f and ((-36)/(-64))/((-18)/12).
88
Let j(y) = 13*y - 102. What is the least common multiple of 12 and j(8)?
12
Find the common denominator of (-150)/(-25) + 2138/(-332) and 101/20.
1660
Let d = -7559/940 - 11/188. Let n = -34/775 - -65889/35650. What is the common denominator of d and n?
230
What is the lowest common multiple of 16 and (-1596)/(-342)*(-54)/(-7)?
144
Let n be 4*((-16)/(-4))/8. Suppose n*y - 3*y = -10. Let q = y + 12. Calculate the smallest common multiple of q and 16.
176
Suppose 5*d - s - 50 = 0, d + s - 20 = -d. Suppose 0 = -142*r + 180*r - 228. What is the smallest common multiple of r and d?
30
What is the common denominator of 71/6 and (-2079)/336 - 2*(-1)/4?
48
Let b(n) = -n + 1. Suppose j + 1 = -0. Let r(l) = -19*l**3 + l**2 - 7*l - 9. What is the lowest common multiple of b(j) and r(-1)?
18
Let m(j) = -j**2 + 6*j - 8. Let a be m(6). Let r be (-700)/16 + 2/a. What is the common denominator of 95/22 and 42/r + (1 - 5)?
22
Let k(r) = -r**3 - 6*r**2 + 8*r - 2. Let v(h) = h**2 - 16*h - 23. Let m be v(17). Find the common denominator of k(m) and 3/2.
2
Suppose -5*l + 30 = 5*j, l - 4*j + 9 = -5. Calculate the smallest common multiple of (6/(-1))/l + 5 and 38.
38
Calculate the lowest common multiple of 8*16/(-1088) - 1092/(-34) and 7.
224
Suppose 3*c + 47 = 5. Find the common denominator of c/4*(-6 + 32/3) and (2/8)/(7/(-128)).
21
Suppose 14 = -2*p - 30. Find the common denominator of 94/p + -3 + 6 and -119/10.
110
Let b = -36578 + 2340915/64. Calculate the common denominator of b and -41/4.
64
Let m(v) = -v**3 - 11*v**2 + v + 2. Let z be m(-5). Find the common denominator of (z/(-44) - -1) + 11/44 and 9/4*(-13)/6.
88
Let r(k) = -6*k - 12. Let n(v) = -v**3 - 2*v**2 + 25*v + 1. Let s be n(-6). What is the smallest common multiple of r(s) and 33?
198
Let y be 1 + 5 + -1 + 1. Suppose s = -4*x + 14, -x = -3*s + y*s - 20. Calculate the smallest common multiple of s and 8 + 3 + 2 + -3.
30
Suppose 2*x = -8, -21 - 8 = -5*t + x. Suppose 145 = t*y + 45. Let a(o) = -o**2 - 6*o - 6. Calculate the lowest common multiple of a(-4) and y.
20
Suppose 0*z = 2*z - 18. Let v(i) = -9*i**3 - 8*i**2 - 7*i + 10. Let n be v(z). Let m = -65425/9 - n. Calculate the common denominator of m and -25/6.
18
Let a = -2107743 + 31649842/15. Let i = -2248 + a. Calculate the common denominator of 52/9 and i.
45
Let z(h) = -h**3 - 10*h**2 + 66*h - 19. What is the least common multiple of 20 and z(-15)?
580
Let u = -32 + -13. What is the common denominator of 31/20 and (-12)/u*(3 - 195/(-8))?
20
Let r = 2086/321 + 18/107. What is the common denominator of r and 20/(-3) + (-5 - -1)?
3
Suppose y + 2*w - 11 = 0, w - 6*w = 0. Suppose 2*u - 6*j - 18 = -j, -2 = 2*u + 5*j. Calculate the least common multiple of u and y.
44
Let l = 43/3458 - -4797339/1