uppose 0*f + 2 = -2*f. Find the common denominator of (f - 4)/(9/21) and 31/8.
24
Let j(g) = g**2 - 7*g. Suppose t = 4*t - 27. Let z be t + (-1 - (-2 - -1)). Calculate the least common multiple of 10 and j(z).
90
Let j = -8/2509 + -208071/55198. Let r = 51667/12 - 4308. Find the common denominator of r and j.
132
Let f = -6 - -9. Suppose f*w = -w + 40. Calculate the lowest common multiple of w and 3*2*10/3.
20
Let k = -5 - -7. Suppose -12 = k*g - 4*g. What is the least common multiple of 11 and g?
66
Let u = 155212/7 - 22100. Let y = 3823/56 - u. What is the common denominator of (-2)/3 - 78/(-8) and y?
24
Find the common denominator of (-1)/4 - (-1068)/(-96) and 41/15.
120
Let v = -7 - -16. What is the lowest common multiple of 11 and v + (-5 - 3/(-1))?
77
What is the common denominator of 48/(-36)*(-57)/(-26) and 95/4?
52
Let j(c) = 4*c - 6. What is the least common multiple of 3 and j(6)?
18
Suppose 0 = -d + 6*d - 10. What is the lowest common multiple of -11*(20/(-8) + 2)*2 and d?
22
Let u = -68603/9624 - -4/1203. Find the common denominator of 101/4 and u.
8
Let c(h) = -2*h + 12. Calculate the lowest common multiple of 10 and c(-5).
110
Suppose 3*q - 29 = 4*j - 0*j, 0 = -4*q + 12. Let v(i) = -10*i**2 + 1. Let z be v(1). Let o = j - z. What is the smallest common multiple of 8 and o?
8
Let o = -678/11 - -11995/198. Calculate the common denominator of o and -47*(3 + (-23)/8).
72
Suppose -4*x + 16 = -0. Suppose 2*z = 192 - 176. What is the smallest common multiple of x and z?
8
Suppose 14*d = 7*d - 77. Calculate the common denominator of (3/(-12))/((-2)/d) and -31.
8
Let m be 62/(-2)*(-2)/2. Let h = m - 0. What is the common denominator of h/2*(-6)/(-8) and 41/2?
8
Let d(w) = -2*w**2 - 4*w - 3. Let v be d(-3). What is the least common multiple of 1 and 12/v*(-36)/8?
6
Suppose 0 = -2*g + g + 4*f + 27, -f = g - 2. Suppose k - 19 = 5*u + 8, -u + 3*k = 11. Let z = u + g. Calculate the least common multiple of z and 10.
10
Let o = -607493/18 - -33758. What is the common denominator of -93/14 and o?
126
Let p = 6 + -10. What is the common denominator of 750/p*7/189 and -49/18?
18
What is the common denominator of (2/(-30))/(2/2055*3) and (-4)/14 + (-3 - -2)?
42
Suppose 12*n - 6*n = 36. What is the lowest common multiple of n and 4?
12
Let m = -25 + 17. Find the common denominator of (1/4)/(m/(-164)) and -49/11.
88
Let k(a) = a**2 - 5. Let z be k(-3). Suppose 0 = 2*f - z*q + 2*q - 6, -5*q = 5. Calculate the lowest common multiple of f and 7.
14
Let l(n) be the second derivative of 5/2*n**2 + 1/3*n**4 - 5/6*n**3 + 0 + n + 1/20*n**5. What is the smallest common multiple of 3 and l(-5)?
15
Calculate the smallest common multiple of 8*(-7)/(-14)*5/2 and 10.
10
Suppose -14 = -3*y + 4. Let n be (y/(-8))/(1/(-12)). Calculate the common denominator of 29/8 and (138/4)/(n/4).
24
Calculate the common denominator of -17/12 and 3/(-108)*((-399)/(-6) + -2).
24
Let v = 9781/438 - 12/73. Find the common denominator of 81/4 and v.
12
Let g = -15 + 35. Suppose 0 = -4*m + 32 - 8. What is the lowest common multiple of m and g?
60
Suppose -p - 11 - 5 = 0. Let w = p - -26. Calculate the smallest common multiple of 8 and w.
40
Let n(q) = q**3 + 0*q**3 + 6*q + 7 - q - 6*q**2 - q. Let j(c) = 3*c**2 - c. What is the smallest common multiple of n(5) and j(-1)?
4
Let q be 14/49 - (-29948956)/(-546). Let c = q - -54856. Let v = c + -2293/858. Find the common denominator of 71/12 and v.
132
Suppose 21 = g + 2*g. Let f be (-2)/g - 929035/70. Let q = -13265 - f. What is the common denominator of q and -51/14?
14
Let b = 3865 - 61881/16. Find the common denominator of -71/6 and b.
48
Let l be (-4)/6 - 76/(-6). Calculate the common denominator of ((-3)/l)/(5/118) and 3*-1 - (-963)/54.
30
What is the common denominator of (-4)/(-2) + ((-87)/36)/29 and -63/2?
12
Suppose -3*b - 3*a = b - 18, -3*a = -4*b + 30. What is the least common multiple of b and 18?
18
Suppose 0 = -5*z + 4*y - 2371, -4*y - 1 = -3*y. Calculate the common denominator of 19/8 and (z/(-15))/((-4)/(-6)).
8
Let v be 6/21 + (-3486834)/224. Let p = -15561 - v. Find the common denominator of -49/4 and p.
16
Let h be 2*(-2)/(-1) + 2. What is the common denominator of (4/(-50))/(8/(-770)) and (2/h)/((-10)/1335)?
10
Let y = -25 - -269/11. Find the common denominator of y and -18/49.
539
Let b = -2356 + 37723/16. Find the common denominator of b and -97/20.
80
Let l = -56 - -102. What is the common denominator of 46/3 and (3/(-24))/(-1)*l?
12
Suppose 5*q - 145 + 35 = 0. Calculate the least common multiple of q and 18.
198
Suppose v + 6 = 4*v. Suppose -4*h - 4*q = -27 - 49, 0 = -2*q + 2. Suppose v*k = 5*k - h. What is the lowest common multiple of 7 and k?
42
Let l(t) = t - 1. Let d be l(-4). Find the common denominator of (-3)/(-8)*380/d and 1/(6/127 - 0).
6
Let x be ((-11034)/(-20))/(2 - 8). Let f = -496/5 - x. Calculate the common denominator of 5/2 and f.
4
Suppose 0*b = -b. Suppose -3*k - 2*d + 1 = 0, d + 1 = 3*k + 6. What is the lowest common multiple of 5*(b - k)/1 and 4?
20
Suppose -2 = 5*m - 2*z - 108, 5*m - 112 = -z. Calculate the lowest common multiple of 36 and m.
396
Let p = 12 + 18. What is the smallest common multiple of 51 and p?
510
Let c = 2 - 0. Let r = -11233/4169 + 22/379. Find the common denominator of r and c + -2 + (-64)/(-6).
33
Let x(r) = r**2 + 5*r. Let w be x(-6). Suppose j + w = 13. What is the lowest common multiple of j and 8?
56
Suppose 0 = -4*r - r + 10, 2*r + 10 = v. Let d be 2/((-2)/1)*-19. Let s = d - 1. What is the lowest common multiple of v and s?
126
Let h = -127 - -105. Find the common denominator of 20/29 and h.
29
Suppose 0 = -2*v + 5*v - 18. Let f be (-5)/(-2) - (-3)/v. Suppose -f = -n, 4*o - n + 14 = 5*o. What is the smallest common multiple of o and 6?
66
What is the least common multiple of 22 and -1 + (83 - (-10)/5)?
924
What is the common denominator of 34 and 3/18*-3*-31?
2
Let x(j) = -3*j - 4. What is the least common multiple of 18 and x(-4)?
72
Suppose 4*z + 1285 = 6*z + 5*j, 0 = 5*j - 25. Find the common denominator of 97/4 and 2/(-15)*z/(-27).
36
Calculate the least common multiple of 4/(-6) + (-556)/(-6) and 8.
184
Let x = -6 - -9. Suppose o - k = -6, 10 = -x*k + 5*k. Let p(r) = -9*r - 1. What is the least common multiple of 4 and p(o)?
8
Suppose 0 = 3*w - 4 + 10. Let n = -9 - -13. Find the common denominator of -57/7 and n/w + 404/(-24).
42
Let o = 15878894 - 10416546741/656. Let g = o - 229/41. Let v = -437/112 + g. Calculate the common denominator of v and 73/3.
21
Suppose 3*d = -3*p + 5*d + 11, 15 = -p - 4*d. What is the lowest common multiple of p and (1 - 2) + 1 - -1?
1
Suppose -127 = -5*f - 37. What is the least common multiple of 20 and f?
180
Let w(d) = -d**2 + 3*d + 43. Calculate the smallest common multiple of 82 and w(8).
246
Suppose -j - 14 = -4*r + 4*j, 5*j = -r + 16. Let h = 14 - r. Calculate the common denominator of 56/9 and (-202)/44 - 4/h.
99
Suppose 1 - 13 = -2*a. Let p be -22*(2/(-4) + 0). Let l = p + 5. What is the smallest common multiple of l and a?
48
Suppose -5*j + 14 - 4 = 0. Suppose -2*z + 16 = 2*z + 2*b, -3*b = 2*z. What is the least common multiple of j and z/(3 - 4/2)?
6
Let q(h) = 2*h - 13. Let w be q(6). Let y = w - -8. What is the lowest common multiple of 11 and y?
77
Let k(j) = j**3 - 12*j**2 + j + 4. Calculate the lowest common multiple of 22 and k(12).
176
Let w(j) = j**2 - 4. Suppose -5 = 3*h - 4*b, -5*h - 3*b - 10 = 8. What is the smallest common multiple of 4 and w(h)?
20
Let f be (-4)/10 + 111/15. Let d(c) = -2*c + 8. Let m be d(f). Calculate the lowest common multiple of 12 and ((-9)/m)/((-6)/(-8)).
12
Suppose -58 = -3*f + 32. Calculate the lowest common multiple of f and 12.
60
Suppose 4*z = 3*w - 4345, 0*z + 5*w = -2*z - 2205. Let q = 4325/4 + z. Calculate the common denominator of -7/12 and q.
12
Calculate the smallest common multiple of 8 and 46 - (-1)/(-1*2/4).
88
Find the common denominator of -11/10 and 57/198 + (-6)/(-36).
110
Let d be ((-28)/(-35))/((-2)/(-170)). Calculate the common denominator of (d/(-70))/((-8)/10) and ((-50)/48 + 2)*-2.
84
Let y(s) = -s - 6. Let n be y(-6). Suppose -4*p + 10 - 2 = n. What is the least common multiple of p and 5?
10
Let z = 131/378 + 2/189. Calculate the common denominator of -6