Let n = b + x. Calculate the common denominator of -77/2 and n.
14
Calculate the lowest common multiple of 19/7 - 10/(-35) and 16/3*3/2.
24
Let i = -16 + -12. Calculate the common denominator of (90/i)/((-3)/4) and -32/11.
77
Let p = -4091/4332 - -10/361. Calculate the common denominator of p and -63/2.
12
Suppose 3*p + 4*i - 15 = 0, 0 = -4*p - p - i + 25. What is the lowest common multiple of p and 8?
40
Suppose g + 35 = -4*u - 0*g, 0 = 4*u - 5*g + 17. Let h = u - -6. What is the smallest common multiple of -2 + h*(1 + -12) and 22?
220
Let i = 6862/25845 + 2/1723. Let c be -1 - ((-228)/45 + 0). Let q = i + c. What is the common denominator of q and -28/5?
15
Let k be 0/((1 - 0)*-2). Suppose k*u - u = -4. What is the least common multiple of (-2)/u*10*-2 and 5?
10
Let n(x) be the first derivative of x**4/4 + x**3 - 5*x**2/2 - 6*x - 3. Let c be n(-4). Find the common denominator of 51/4 and (-531)/(-24)*c/21.
28
Suppose -3*g - 48 = -2*n, n - 4*n - 2*g + 46 = 0. Calculate the lowest common multiple of n and 6.
18
Let s = 7723/4206 + -2/701. Find the common denominator of 71/15 and s.
30
Let z = -25842105/7 + 7364175/2. Let x = z + 9648. Find the common denominator of 143/18 and x.
126
Let m(v) = v**2 - 8*v + 19. What is the lowest common multiple of m(5) and 6?
12
Let g(f) = -f**2. Let j be g(-1). Suppose -5*y = -o + 3 + 10, y = o - 5. Calculate the least common multiple of (j/1)/(2/(-10)) and o.
15
Let h = -141 - -189. Calculate the lowest common multiple of h and 10.
240
Suppose 2 = 2*i + 18. Find the common denominator of (-2)/i + 1215/(-252) and ((-103)/4)/((-3)/(-2)).
42
Suppose -1 = 3*b + 5. What is the smallest common multiple of 11 and (b + -1)/6*-2?
11
Let q be (-3 - 7/(-3))*-15. Suppose -12*d + 22 = -q*d. Calculate the lowest common multiple of 4 and d.
44
Calculate the common denominator of (1/2)/(10/(-465)) and 21/4.
4
Let c = 5 + -8. Let d be (3 + c)/(2 + 0). Suppose 2*r = -d*r + 5*m - 3, -4*r = m - 5. What is the smallest common multiple of 11 and r?
11
Suppose -2*o - 4*d = -0*d - 57666, -144205 = -5*o - 2*d. Let a = o - 519317/18. What is the common denominator of 9/20 and a?
180
Suppose -q + 50 = 4*q. Calculate the least common multiple of q and 2.
10
Let p = -20679 + 372359/18. Let y = 78993/15340 - -2/3835. What is the common denominator of y and p?
180
Let g = -10057 - -150946/15. What is the common denominator of g and 46/3?
15
Suppose -814 = -3*f - p, 0 = 5*f + 5*p - 2*p - 1362. Suppose v + 2*v - f = 0. Suppose -2*h - h = -v. Calculate the common denominator of 11/10 and h.
10
Suppose -3*r + 93 + 144 = 0. Suppose -r - 101 = -2*c. Suppose z = 6*z - c. Calculate the lowest common multiple of 12 and z.
36
Let v = 764 - 3093/4. Find the common denominator of ((-2)/6)/((-39)/(-299)) and v.
36
Let r(z) = 8*z**2 - 2*z - 10. Let v(s) = 7*s**2 - s - 10. Let u(m) = -6*r(m) + 7*v(m). Calculate the smallest common multiple of u(-7) and 11 + (-1 - (-4)/2).
12
Suppose -o - 27 = -2*c, 3*c + c + 3*o = 39. Suppose q = 6 - 5. What is the smallest common multiple of c and -3 + 28/2 + q?
12
What is the common denominator of -91/16 and (1 + -5)/((-5)/2)?
80
Suppose 0*s + 18 = s. What is the lowest common multiple of ((-2)/(-6))/((15/(-5))/(-162)) and s?
18
Suppose 0 = -m - 5*m + 48. What is the lowest common multiple of 2 and m?
8
Let r(j) = -7 - 7 - 4*j - j. Calculate the smallest common multiple of r(-4) and 1.
6
Calculate the common denominator of (3/6 - (-123)/(-21)) + -2 and -71/18.
126
Let h = 48/121 - 4473/1210. Suppose -2*r - o + 4*o - 57 = 0, -48 = 3*r + 3*o. Calculate the common denominator of h and (r/18)/(4/(-3)).
40
Suppose -4*r - 20 = 0, -7*m + 2*m = r - 105. Calculate the least common multiple of 16 and m.
176
Let f = -7074/905 - -3/181. What is the common denominator of -39/4 and f?
20
Let l = -797664161/330 - -2417166. Let g = 4/165 + l. What is the common denominator of g and (3/2)/((-21)/47)?
70
Suppose 5*r - 300 = -0*r. Suppose -2*h + r = h. What is the lowest common multiple of h and 14/8 + 1/4?
20
Let c(x) = -x**3 + 6*x**2 + 8*x - 9. Suppose 0 = -2*z + 3 + 11. Let v be c(z). What is the least common multiple of 2 and 2*3 - (v - -4)?
4
Let h = 234/11 - 1205/22. What is the common denominator of 65/4 and h?
4
What is the common denominator of ((-3)/(-24))/((-21)/654) and 3 - 0 - 308/24?
84
What is the common denominator of -5/4 and (1/(-6))/(124/(-123) + 1)?
4
Suppose 3*s = 4*s - 9. Find the common denominator of ((-3)/s)/((-3)/(-51)) and 1/3 - (-113)/(-24).
24
Let m(z) = z**3 - 8*z**2 + 2*z - 5. What is the least common multiple of m(8) and 9?
99
Let x be (-72)/(-27)*6/(-4). What is the common denominator of (37/40)/((-2)/(-4)) and -3 + (0 - (-110)/x)?
20
Let t(n) = 5*n + 1. Suppose u + 1 = -5*o, 2*u - o + 2 = 2*o. Let v be t(u). Calculate the lowest common multiple of 6 and (-33)/v + (-1)/4.
24
What is the common denominator of -29/9 and 380/8*(3 - (-331)/(-110))?
396
What is the least common multiple of 9 and 3 + (-58)/18 - (-330)/27?
36
Calculate the common denominator of -65/6 and 111/(-3)*(-5)/15.
6
Let a = 657385/294 - 2236. Let j = a + -451/2940. What is the common denominator of 3/2 and j?
20
Find the common denominator of -14/11 and (8/(-120))/(4/(-1270)).
66
Let y = -6 + 15. Suppose 2*l - 4 = -t, -t + 4 - y = -l. Calculate the lowest common multiple of l and 2.
6
Let u = 59 - 39. Suppose -u = -3*y - 2. Calculate the smallest common multiple of y and 10 - (-2 - -4 - 0).
24
Suppose 4*k = -20, -5*d + 31 = -4*k - 9. What is the smallest common multiple of 242 and d?
484
Suppose -4*i + 10 = s, 15 = 3*i - 5*s + 2*s. Suppose 3*j = -4*c + 4, -i*j = 2*c - 3*c - 14. What is the smallest common multiple of j and 4?
4
Let v(m) = 2*m + 11. Suppose -3*k = -5*y - 20, -2*k - 4 = 3*k + y. Calculate the least common multiple of v(k) and 4.
44
Let y(i) = -i**2 - 6*i + 2. Suppose 0 = -4*s + 8*s + 12. Let r(u) = u**3 + 3*u**2 - u + 3. Calculate the least common multiple of y(-5) and r(s).
42
Let g = -1 - -23. Let q = -5 + 7. Suppose x + 20 = 3*p + 3*x, q*x = 3*p - 4. Calculate the least common multiple of g and p.
44
Let a(l) = l**3 - 17*l**2 + 17*l - 11. Let f(p) = -p + 3. Calculate the smallest common multiple of f(-5) and a(16).
40
Suppose -2*i = x - 11, 0 = i + 5*x - 2 + 1. Let h = -4 + i. Let n = 63 + -55. Calculate the least common multiple of h and n.
8
Let p = 5 + -1. Let r = -2 + p. Calculate the common denominator of 65/6 and r/3 + (-289)/(-66).
66
Find the common denominator of 85/4 and (-50)/(-12)*(-45)/(-55).
44
Let h(k) = -k**3 - 4*k**2 - 4*k + 3. What is the smallest common multiple of 6 and h(-4)?
114
Let y = -1763/84 + 73/42. Calculate the common denominator of y and -37/6.
12
Let c = 10037 - 331189/33. Calculate the common denominator of c and -89/18.
198
Let h(m) = m**3 + 13*m**2 - m - 16. Let l be h(-13). Let x = 19/92 + 1217/1012. Find the common denominator of x and 51/(-20) + (l - -6).
220
Let k(c) = c**2 - 3*c - 8. Let x be 8/(-44) - (-272)/44. Calculate the smallest common multiple of k(x) and 16.
80
Let i(j) = -j**2 + 2*j + 2. Let c be i(4). Let y = c - -8. Suppose -5*r = -5*a + 50, 2*a = 6*a + 4*r - 32. What is the lowest common multiple of a and y?
18
Suppose 0 = -2*q + 5*f + 30, q + 3*q = f + 78. Calculate the lowest common multiple of 20 and q.
20
Suppose 2*x + 0*x + 26 = 2*f, 3*x + 71 = 5*f. Suppose 15 = 5*m - 75. Calculate the smallest common multiple of f and m.
144
Let f(z) = z + 16. Let w be f(-10). Let r = 12 + -1. What is the smallest common multiple of 4/w*(10 - 1) and r?
66
Suppose 0 = 4*j + 2*v - 50, -5*j + v = -3*v - 30. Suppose 0 = -3*w + 28 + 8. Calculate the lowest common multiple of j and w.
60
Let r(q) be the second derivative of -q**5/20 - 7*q**4/12 + 7*q**2/2 - 7*q. What is the least common multiple of r(-7) and 3?
21
Suppose -2*c + 20 = 2*c - 4*z, -z = c - 11. What is the lowest common multiple of c and 32?
32
Let y = -2/3337 + -343699/20022. Calculate the common denominator of y and 1/4 + -4 + 0.
12
Let b = -959029 + 10520435/11. Let a = b - -2629. Find the common denominator of 28 and a.
11
Let q = -2/2653 + 172451/7959. Calculate the common denominator of q and 25/2.
6
Let n be 0 + (-30)/(-3 - -1). Calculate the common denominator of 2/(-4)*(-6)/21 and 5/(-7)*(-78)/n.
7
Let v = 6