 Let m = n + -17. Calculate the common denominator of 40/(-15) + 2/m and 30/11.
33
Suppose -5*a = j - 17, -2*j + 3*a + 24 = 3. Let k = 66 - j. Calculate the lowest common multiple of 12 and k.
108
Suppose 6*i + 24 = 10*i - 2*q, -2*i - 3*q - 4 = 0. What is the smallest common multiple of 10 and i?
20
Let f be (6/(-9))/(10/15). Find the common denominator of f/3 - 774/(-540) and (-20)/25*(-79)/8.
10
Let t(n) = 19*n**2 + 7*n + 9. Let a be t(-3). Let m = a - 114. Calculate the lowest common multiple of m and 4.
180
Suppose -18*l + 19*l + 3 = 0. Calculate the lowest common multiple of 3 + -2*(6 + l + -4) and 6.
30
Let q = 1019 + -649. Let w = q + -2584/7. Find the common denominator of w and -9/14.
14
Let y = 35 - 15. Suppose -25*a + 29*a - 40 = 0. What is the least common multiple of y and a?
20
Find the common denominator of (190/15)/(-2)*12/(-14) and -37/134.
938
Let f = 24700582/203 + -121678. Calculate the common denominator of f and -51/290.
2030
Let y = 154/5 + -3383/110. What is the common denominator of (8/(-40))/((-12)/(-305)) and y?
132
Let q(t) = t + 9. Let u(o) = 3*o - 30. Calculate the least common multiple of u(12) and q(3).
12
Let c = 3014 - 27187/9. Find the common denominator of c and (-48)/(-10)*20/118.
531
Suppose 3*s - 228 = 2*i, -3*s - i = -2*i - 231. Suppose s = 3*r + 24. Calculate the least common multiple of 18 and r.
18
Suppose -4*q = -30 - 2. Let x = q - 2. Suppose -4*p = -42 - x. What is the smallest common multiple of p and 12?
12
Let u = 2097 + -2083. Find the common denominator of 53/6 and u.
6
Let p = 550227/188440 + 24/4711. Find the common denominator of 43/70 and p.
280
What is the common denominator of -125/6 and (2 - 28*1)*11/264?
12
Suppose 0 = 14*d - 10*d - 480. What is the least common multiple of d and 120?
120
What is the common denominator of 3/485 and (-204)/340 - (-34)/(-40) - -3?
1940
Calculate the common denominator of -43/22 and ((-8)/96)/((-39)/(-246)).
858
Let x = -23 - -28. Suppose -y - 8 = -x*y. Suppose -9 = y*v - 33. Calculate the least common multiple of v and 18.
36
Let j = 127 - 97. What is the lowest common multiple of 30 and j?
30
Let v = 88/3 + -1993/66. Find the common denominator of v and -73/8.
88
Let b be (-16)/(-3)*(-1 + (-9798)/12). Let q = -143930/33 - b. Find the common denominator of 58/33 and q.
33
Suppose -3*o + 48 = 45. Calculate the lowest common multiple of (-10)/15*-1*15 and o.
10
Suppose -2*y = k - 48, 5*k - y - 198 = 3*y. Calculate the lowest common multiple of 3 and k.
42
Let r be (-3)/(-24) - 190/(-16). Suppose r*u - 16*u = -60. Calculate the least common multiple of 3 and u.
15
Calculate the common denominator of (4696/(-186))/(-4) - (-28 + 34) and -40/123.
3813
Let x(c) = -c**3 + c**2 + 2*c + 1. Let j be x(-1). Calculate the common denominator of j*(1 + 95/2) and -83/12.
12
Let q = 1361 - 1317. What is the lowest common multiple of 187 and q?
748
Suppose -2*w = 2*l - 912, 6*w - 2*w - 1817 = 3*l. Find the common denominator of 76/3 and w/100 + -4*1.
60
Let u = 446 - 1793/4. Let s(g) = 16923*g**2 - 1. Let i be s(1). Let m = i - 372209/22. What is the common denominator of u and m?
44
Suppose -21 = -5*j - 2*f + 6*f, 4*f + 16 = 0. Let u be j*(-5)/((-15600)/14913). Let g = -6/65 + u. Calculate the common denominator of 23/6 and g.
48
Suppose 2*g + u - 26 + 5 = 0, 0 = -g - 4*u + 14. Let k = 5 + -1. Suppose -2*b + 2*r + 2*r = -32, 12 = -k*r. Calculate the lowest common multiple of b and g.
10
Let p = -186805/12 - -15578. Calculate the common denominator of -149/48 and p.
48
Let t(q) = q. Let m(u) = -7*u - 18. Let z(g) = m(g) + 5*t(g). Let b be z(-9). Suppose i = -b*i + 7. What is the lowest common multiple of 3 and i?
21
Find the common denominator of (-23)/22 + -5 + 4 and 428/(-120)*1 + 2.
330
Let s = 179 - 175. Suppose 5*w - 3*c - 40 = 2*c, -w + s*c = -8. Suppose -3*k + 0 = -6. What is the smallest common multiple of w and k?
8
Let y(u) = -u**3 - 9*u**2 - 9*u - 3. Let f be y(-8). Suppose 5*j - 17 = k, -3*k + f = 3*j + 2. Find the common denominator of (-121 + j)*(-2)/(-24) and -49/2.
6
Let u = 252527/12 + 11579/4. Let c = -683387/30 + u. Let d = c - 1164. Find the common denominator of d and -1.
10
Find the common denominator of 43/26 and 8 + (3 - (-7480)/(-608)).
988
What is the least common multiple of 50 and 14402/266 + (-12)/(-14)?
550
Let b = 2 - 1. Let l(d) = 4*d**3 - 3*d**2 + 2. Let c be l(2). Suppose 5*w - 4*h = c + 2, 2*w - 2*h - 8 = 0. Calculate the lowest common multiple of b and w.
8
Suppose 0*f - 3*f + 15 = 0. Let a = f + -7. Calculate the common denominator of -101/16 and (-2 - (-198)/32) + a.
16
Let b(l) = l**3 - 7*l**2 + 2*l - 5. Calculate the least common multiple of 171 and b(7).
171
Suppose 5*v + 5*x = 0, 2*v - 3*x - 11 = 9. What is the smallest common multiple of (12/(-5))/(6/(-20)) and v?
8
Let m = -417 + 495. Calculate the least common multiple of m and 130.
390
Let n = 1394 + -1317. Calculate the least common multiple of 187 and n.
1309
Suppose -4*a + 9 = 4*n + 13, 2*a + 4 = 0. Calculate the least common multiple of 10 and n.
10
Let b = 250 - 244. What is the least common multiple of 22 and b?
66
Let p be (0 - (-3 + 1))*-159. Let k = -13 + 15. Find the common denominator of (p/(-40))/(1 + k) and -71/8.
40
Let k = -43675 - -5372059/123. Let c = k - -5543/861. Find the common denominator of c and 89/16.
112
Let w(g) = -g**3 - 7*g**2 + 8*g + 11. Let s be w(-8). Suppose -x = -5*i + 12, -i + 3*x - s = -5. What is the lowest common multiple of i and 4?
12
Let b(m) = m + 5. Let w be b(6). What is the common denominator of -25/17 and (-2)/w - (-696)/440?
85
Suppose -6*w = 15 - 3. Let l(m) = 9*m**2 + 3*m. Calculate the lowest common multiple of 12 - 1 - (8 - 9) and l(w).
60
Let t = -43 - -51. Suppose -2*g - 4*z + 0*z - 72 = 0, 0 = 2*z + 6. What is the common denominator of 206/t*(-2)/5 and g?
10
Let q = -2954/171 - -477/38. Calculate the common denominator of 151/1320 and q.
3960
Let i = 2/13251 + -393143/198765. What is the common denominator of i and 12/65?
585
Suppose j - 15 = -20, -4*m - j + 35 = 0. What is the lowest common multiple of m and 55?
110
Let h(k) = 14*k + 3. Let y(g) = g. Let o(a) = 3*h(a) - 15*y(a). Let t be o(-4). Calculate the common denominator of (-2)/6 - 492/t and 38.
11
Let g(j) = j**3 + 13*j**2 - 3*j + 11. What is the smallest common multiple of g(-13) and 250?
250
Suppose 3*u - 34 + 4 = 0. Suppose -3*f = 2*f - u. What is the smallest common multiple of f and 2?
2
Let x = -26 - -30. Suppose -s = -x*h + 30, -5*h - 2*s = -30 - 14. Calculate the lowest common multiple of 11 and h.
88
Let s = 17153421/6404695 - -1/278465. Let k = -13109/3220 + s. Find the common denominator of k and 210/(-8) + (-5 - -2) + 6.
28
Suppose -4*b - 4*o = 60, b + 14 = 3*o - 5*o. Find the common denominator of 145/24 and -2 - (0 + 356/b).
24
Let q(c) = c**3 - 14*c**2 + 24*c + 18. What is the lowest common multiple of 21 and q(12)?
126
Suppose 0 = -112*m + 85*m + 2646. Calculate the lowest common multiple of 4 and m.
196
Suppose 0 = -2*d - 6502 - 13572. Let i = -100457/10 - d. Calculate the common denominator of (14/(-32) - -1)*-36 and i.
20
Let w = -21 - -4. Find the common denominator of w*((-85)/110 + 1) and 25/32.
352
Suppose 0 = 33*c - 46*c + 208. Calculate the least common multiple of c and 24.
48
Let v = -55 - -81. Let t = 28 - v. What is the least common multiple of t and 5?
10
Suppose -27 = -6*f + 33. Calculate the least common multiple of 46 and 540/25 - (-4)/f.
506
Let o be (-27885)/(-2)*29/39940. Let a = -3/1997 - o. Let l = -7400/77 - -988/11. What is the common denominator of a and l?
56
Let l = 11 - 17. Find the common denominator of 1/4 - 1715/84 and 168/32*(-10)/l.
12
Let s(d) = d**3 + 8*d**2 - 3*d. Let w = -13 - -5. What is the least common multiple of 12 and s(w)?
24
Let q(f) = -f**3 - 6*f**2 - 2*f + 7. Let s be q(-5). Let h be 5/(-20) + 46/s. Let z(g) = -g**2 + 3*g + 13. Find the common denominator of z(h) and 57/8.
8
Let c = -232 - -248. Calculate the least common multiple of c and 2.
16
Suppose 6*h - 16 + 4 = 0. Suppose 5*w - h = 4*w. Calculate the common denominator of -23/8 and 3265/(-90) - w/9.
8
Let c be 2/6 + (-11)/(-3). Let t(d) = -d**2 + 10*d + 99. Let x be t(-6). Suppose -c*y + 11 = -x*y. Calculate the smallest common multiple of y