05 - 6083/1620. Let b = 1324 + -21195/16. Calculate the common denominator of b and d.
16
Suppose 0 = -5*r - s + 136 - 32, -4*r + 2*s = -86. Suppose 2*j - 18 = -0*j. What is the least common multiple of r and j?
63
Suppose 4 + 2 = 3*z. Suppose k + 30 = 3*g + 3*k, -z*k - 6 = 0. What is the common denominator of -9 + g + 46/14 and -4/5?
35
Let k(a) = a**3 + 15*a**2 + 7*a - 16. Let z be k(-15). Let r = z + 128. What is the lowest common multiple of r and 3?
21
Suppose h - d + 2*d - 1 = 0, 2*d = 10. Find the common denominator of (-226)/(-40) - 1/h and 69/10.
10
Let s = -1613/2080 + 1/2080. Calculate the common denominator of -67/8 and s.
40
Suppose 8*u - 14*u - 42 = 0. Calculate the common denominator of (4/(-15))/((21/9)/u) and -73/10.
10
Suppose -3*m + 7 = 4*i, 2*i + 4 + 0 = -4*m. Suppose -30 = -i*z - z. Calculate the lowest common multiple of 9 and z.
18
What is the common denominator of 35/48 and (-4 - 2517/(-168)) + -10?
336
Let u = -12 - -21. Suppose 4*d - u*d = -45. Let q = -1 + d. Calculate the lowest common multiple of 1 and q.
8
Let z(h) be the third derivative of -h**5/60 - h**4/8 + h**3/2 + 3*h**2. Let f be z(-9). What is the common denominator of -63/22 and f/2*(-12)/(-36)?
22
Let r be (-4)/(((-2)/(-2))/2). Let a = 7 + r. Find the common denominator of a/((-9)/(-91)) + 2 and -59/6.
18
Let n be 52/(-66)*(1 + (-15)/18). Let z = 2515/198 - n. Find the common denominator of -85/66 and z.
66
Find the common denominator of ((-5)/(-35))/((-70)/(-539)) and -127/6.
30
Let n(i) = 2 + i**2 - 6*i**2 + 4*i**2 + 7*i. What is the least common multiple of n(4) and 18?
126
Let z(o) = -o**2 + o + 19. Find the common denominator of z(8) and (-4)/2*531/(-36).
2
Let y be (8 - 8) + 83*-3. What is the common denominator of 6/51 + y/(-918) and 99/20?
180
Let m(u) = 5*u**2 + 2*u - 3. Let x be m(1). Suppose 3*d + x*d - 154 = 0. What is the smallest common multiple of d and 24?
264
Suppose -12*a + 16*a + 584 = 0. Suppose -5*d + 5 = 10. Find the common denominator of d + 4 - a/(-16) and -97/20.
40
Let i = 28 + -13. Calculate the least common multiple of (-50)/i*18/(-15) and 6.
12
Calculate the smallest common multiple of 468 and (-4)/5*4*(-360)/64.
468
Let v(y) = -5*y - 7. Let x be v(-5). Let a = x - 6. What is the lowest common multiple of 9 and a?
36
Let j be (-4)/(-2)*1/(-1416). Let q = -197648329/1475472 - -70150/521. Let n = q + j. Find the common denominator of 95/8 and n.
16
Let v = 2/3841 - 176908/426351. What is the common denominator of -64/9 and v?
333
Suppose 18 = -12*p + 414. What is the lowest common multiple of 12 and p?
132
Let f = -33 + 34. Find the common denominator of ((-298)/112 + 1)*f and 81/22.
616
Let n = 1590 - 1589. Calculate the smallest common multiple of 9 and n.
9
Suppose 4*y - 33 = -9. Let o(x) = x**3 - 2*x**2 + 15*x - 14. What is the least common multiple of o(y) and 14?
1540
What is the common denominator of -61/20 and 5 - 1/((-96)/(-650))?
240
Let s be (-6)/4*680/(-51). Suppose 0 = 4*p + p - s. Calculate the smallest common multiple of p and 7.
28
Let m(b) = -1. Let f(v) = -v. Let k(x) = 5*f(x) - m(x). Let h be k(5). What is the least common multiple of 1 and 0 + h/(6/(-2))?
8
Let g be -3 + (1 - (2 + -1)). Let n be (g - -4)*(-3172 - 0). Let u = n - -22259/7. What is the common denominator of -14 and u?
7
Suppose 0 = -3*r + 5*l + 23, -l + 12 = r - 9. Let x(m) = -2*m**3 - 34*m**2 + 34*m - 14. Calculate the smallest common multiple of r and x(-18).
176
Suppose 3*y - 5 + 13 = -2*g, -5*y = 4*g + 18. Let w(i) = -2*i**2 + 2*i + 34. What is the least common multiple of w(4) and 2/g - 74/(-14)?
10
Let s(u) = -45*u**3 + u**2 + u - 4. What is the least common multiple of 18 and s(-2)?
3222
Let g = -6 + -14. Let i be ((-8)/g)/((-1)/(-10)). What is the lowest common multiple of (-1)/(i/64*-2) and 12?
24
Let a be 4744 - (-1 - (0 + 2)). Suppose -5*o - a = -382. Let z = 12195/14 + o. What is the common denominator of -35/9 and z?
126
Suppose w - 3*j = 159, 258 = w + 3*j + 69. Calculate the smallest common multiple of w and 6.
174
Let i = 3042307/72 - 42253. Calculate the common denominator of i and -9/40.
360
Let r(j) = -19*j**3 - 19*j**2 + 7 + 18*j**3 - 5*j - 13*j. What is the smallest common multiple of r(-18) and 8?
56
Let i = -1939920659/154 + 12596837. Let x = -362/7 - i. Calculate the common denominator of x and 81/16.
176
Let u = -2 + -1. Let y be 20/((-1)/(u/(-2))). What is the least common multiple of 11 and ((-48)/18)/(4/y)?
220
Let o be 8/(-6)*(-4 + 1). Suppose 5*u = -n + 14, -3*n + 0 = -o*u - 4. Calculate the common denominator of 3 and u/9 - (-3815)/(-441).
7
Suppose -5*q - 697 - 1448 = 0. Find the common denominator of (28/6)/((-88)/q) and 65/3.
12
Let x be (-10)/(-3) - (-14)/21. Suppose 0*a + x*a + 4*i - 24 = 0, 0 = -4*a + 2*i + 18. Let v = a + 4. What is the least common multiple of 14 and v?
126
Let r(v) = v**3 - 10*v**2 - 4*v + 15. Find the common denominator of r(10) and (1 - 4) + (80/(-15) - 7).
3
Let r be (-255)/12 + (-2)/(-8). Let x = -11 - r. What is the least common multiple of (-2)/3 + 140/21 and x?
30
Let y = -76 + 79. Calculate the lowest common multiple of y and 19.
57
Let k = -530 - -535. Suppose -4 + 26 = 2*o. Calculate the smallest common multiple of o and k.
55
Let m be -2 + 22 - -3 - -2. Let g = 28 - m. Suppose 5*i + 0*y = -g*y + 31, 5*i - 28 = -4*y. What is the lowest common multiple of 32 and i?
32
Let g = -228272679/204248 + 1/25531. Let b = g - -1126. What is the common denominator of b and -47/6?
24
Suppose 3*y = 0, c - 3*y - 1 = 2. What is the smallest common multiple of 12 and (30 - -6)*(-1 + 4/c)?
12
Suppose 1632 = 6*s + 18*s. What is the least common multiple of 188 and s?
3196
Let o = -190/3 - -245/6. What is the common denominator of -40 and o?
2
Let l be 880806/(-672) - (-4)/14. Let q = -1311 - l. Find the common denominator of q and -107/14.
112
Let h = -87/10 + 113/20. What is the common denominator of h and -43/50?
100
Let b = 1823 + -1603. Calculate the lowest common multiple of 176 and b.
880
Let b = -2866872191/156 - -18377280. Let o = b + 1416/13. Let n = 431/2 - 226. Find the common denominator of n and o.
12
Let a be (-3 - -49)*1866/132. Let t = -655 + a. Find the common denominator of t and -101/8.
88
Suppose 24 = q + 5*l + 12, -3*l = -3*q. What is the lowest common multiple of q and 6?
6
Let t = -159393649/196338 - 14/32723. Let w = t + 803. Calculate the common denominator of -15/2 and w.
6
Suppose -2*k = -2*m + 5624 + 3116, 0 = 4*m + 3*k - 17445. Let o = -26075/6 + m. Calculate the common denominator of -85/12 and o.
12
What is the common denominator of 16236/(-2808) - (2 - 6) and -133/12?
156
Let r = -1235/3 + 6569/16. Calculate the common denominator of -73/60 and r.
240
Let f(y) be the third derivative of y**4/24 + 4*y**3/3 + y**2. Let p = -660 - -682. Calculate the smallest common multiple of p and f(8).
176
Let w = 72/85 + -337/1020. Calculate the common denominator of 131/102 and w.
1020
Suppose 4*s = 4*o + 4, 0*o + 27 = 3*s + 3*o. Suppose 6 = s*r - 19. Let a = 149 - 146. What is the smallest common multiple of r and a?
15
Let t = 9 + 24. What is the lowest common multiple of t and 295/11 + (-24)/(-132)?
297
Let v = -2569 + -3674. Let h = v - 149. Let i = h + 89449/14. Calculate the common denominator of 31/44 and i.
308
What is the smallest common multiple of (-64195)/(-111) + ((-2)/6 - -1) and 15?
2895
Suppose -4*z + 12 = 4*m, -1 - 8 = -2*z - 3*m. Let x = 3256/3 + -1098. Find the common denominator of x and (-26)/14*(3 - z).
21
Let u = 1849704109/306 + -6044802. Let g = u - -390/17. Find the common denominator of g and -103/6.
18
Calculate the common denominator of 55/24 and 3302/104*(-1)/(-54).
216
Let o(h) = h**3 - 2*h**2 + 4*h - 7. What is the common denominator of -69/2 and o(4)?
2
Let t be 4 + -4 + (-698)/(-660). Let r = -1/30 - t. What is the common denominator of 121/18 and r?
198
Let f = -4 + 1. Calculate the least common multiple of 22 and (-14)/f*-2*9/(-21).
44
Let j = -86636/15 + 5781. Find the common denominator of j and -55/39.
195
Let p = -234988155/152 + 1545988. Let j = -111/8 + p. Find the common denominator of j and 47.
19
Let h be 53010/24 + (-1)/(-4). Let s = h + -189. Let x = s - 24215/12. Calculate the common denominator of -91/4 and x.
12
Let p = 3840