 and -18*(27/l - 3).
45
Let i(x) = -3*x - 2. Let j be i(-2). Calculate the common denominator of (-114)/j*6/(-45) and 57/8.
40
Suppose -2*x - 3*d + 14 = 0, 4*x - 11 = -2*d + 1. Let h be -1 + 10/(-2)*x. What is the smallest common multiple of (12/(-7))/(h/63) and 22?
198
Let y(r) = 4*r - 52. What is the lowest common multiple of y(15) and 28?
56
Let d = -13/6 - -3/2. Let g = -2963 - -26603/9. What is the common denominator of g and d?
9
Let m = 6 + -17. Let j = 13 + m. Calculate the lowest common multiple of j and 17.
34
Let i = 19800/17 - 147683/102. Let s = 284 + i. What is the common denominator of 64/3 and s?
6
Suppose y + 4*m - 29 = -0*m, -2*y - 5*m = -43. Suppose 3*j + 2*z = 50, 2*j - 3*z = 46 + 9. Calculate the lowest common multiple of j and y.
180
Let s = -29416777/25 - -2603317099/2175. Let a = s - 20257. Let n = 9/58 - a. Find the common denominator of n and 45/16.
48
Let r = 8649/4 - 2175. Find the common denominator of r and -46/3.
12
Let q(u) = u**2 - 7*u - 7. Let m be q(9). Suppose 0 = -3*g + 32 - m. Let j = 21 - g. Calculate the lowest common multiple of j and 22.
154
Suppose -4 = -2*i - 6. What is the common denominator of -43/14 and 2 + i - (-142)/(-4)?
14
Let k(w) = w**2 + 7*w + 13. Let m(p) = p**2 - p + 6. Let h be m(0). What is the smallest common multiple of 2/h - 2/(-3) and k(-6)?
7
Let d = 5153/1683 - -30/187. What is the common denominator of d and 3/(0 + 1 + 4)?
45
Let n = -6 - -12. Suppose x = 2*a + n, 0*a = 4*x - 4*a - 28. What is the lowest common multiple of x and 7?
56
Let f = -23 + 38. What is the lowest common multiple of (5/f)/(2/42) and 6?
42
Suppose -2*m - 2 = -8. Let c(j) = j**2 - j + 6. What is the least common multiple of c(0) and m?
6
Suppose -2*h + 5*i = 1701 + 1785, -2*h - 3514 = 2*i. Let v = h - -5201/3. Let d = -795 + 3998/5. Find the common denominator of d and v.
15
Let l = 35 + -31. What is the smallest common multiple of 5 and l?
20
Let l = -7 + 9. Suppose -24 + 8 = -l*z. What is the smallest common multiple of z and 22?
88
Let p = 3 + 7. What is the least common multiple of p and 4?
20
Let v(x) = x**3 - x**2 + 3*x + 3. Let p be v(3). Calculate the least common multiple of 9 and p/4*8/6.
90
Let b(n) = -n + 1. Let i(r) = r**2 - 15*r. Let u(k) = 4*b(k) - i(k). Calculate the smallest common multiple of 16 and u(10).
112
Let x = 3677/414 - 65/23. What is the common denominator of x and 53/6?
18
Let l(k) = -k**3 - 19*k**2 + 12. Calculate the lowest common multiple of l(-19) and 6.
12
Let v = -12 - -26. Suppose 0*s + 3*y + 14 = -5*s, 3*s + 12 = -3*y. Calculate the smallest common multiple of s/(-1*4/8) and v.
14
Let l = -1381567/155230 + 2/15523. What is the common denominator of 73/22 and l?
110
Find the common denominator of ((-195)/(-12) - -1)/(-32 - -33) and (-2)/6 + 76/(-6).
4
Suppose -95 + 32 = -7*r. Find the common denominator of r and -38.
1
Let c(x) = -11*x**3 + x. What is the smallest common multiple of 8/(-14) + 910/49 and c(-1)?
90
Suppose -r - 1 = -7. Calculate the smallest common multiple of 10 and r.
30
Let w = 59 - 52. Calculate the smallest common multiple of 5 and w.
35
Suppose 9*q - 11*q = -10. Calculate the least common multiple of 19 and q.
95
Suppose 0 = -3*p + b + 23, -p + 6*b = 3*b + 3. Suppose 11*g - 1 = 10*g. What is the smallest common multiple of g and p?
9
Let b(a) = a**3 + 5*a**2 - 6*a + 8. Let n be (-4)/22 + 442/11. Suppose -6*i = -2*i - n. What is the smallest common multiple of i and b(-6)?
40
Suppose -2 = h - 2*l - 11, 0 = -l - 3. Calculate the lowest common multiple of ((-5)/(-2))/(1/4) and h.
30
Let d = -6 + 6. Find the common denominator of (-18)/4*(-1)/(-12) and d + (-1 - (-154)/40).
40
Let i = -29/5 + 6. Let b(p) = -p**3 - 8*p**2 - 7*p - 5. Let l be b(-7). What is the common denominator of ((-5)/2)/l*61 and i?
10
Let p be (-934)/(-4) - (-1 + 2). Let d = -240 + p. Let v = 72 - 719/10. What is the common denominator of v and d?
10
Suppose 0 = -4*m - 2*y - 3*y + 15, 3*y = -3. Let l = 4 + m. Calculate the smallest common multiple of l and 7.
63
Find the common denominator of (-32)/(-88) + 1 + -1 and (-20)/(-105)*165/(-10).
77
Suppose -5*z + 0*z = 4*d + 22, -4*z + 4*d = -4. Suppose -o = v + 4*o + 10, 9 = -3*o. Let t = z + v. Calculate the lowest common multiple of 7 and t.
21
Let u = 3/2 + 35/6. Calculate the common denominator of 35/8 and u.
24
Let d = 933933/176210 + -2/17621. What is the common denominator of d and -41/2?
10
Let i be -3*(-7)/(7/4). Calculate the common denominator of 298/i - (-1)/(-3) and 89/10.
10
Let v be -929*4*2/4. Let n be 71617/(-28)*8/(-11). Let l = n + v. Calculate the common denominator of -97/2 and l.
22
Let i = 9 + 13. Suppose -5 + 1 = 4*s + 3*b, -5*s + 3*b + 22 = 0. What is the least common multiple of i and s?
22
Let w = -3 - 6. Suppose 81 = -3*f + r + r, 4*f + 4*r + 108 = 0. Find the common denominator of (-290)/w*f/(-144) and -1/20.
120
Let l = -1768935 + 14131781/8. Suppose 2*b + 5749 = -u + 828, 2*u - 4906 = 2*b. Let y = b - l. Calculate the common denominator of y and -71/4.
8
Suppose -4 = -f - 0. Suppose -f*a - 9 = -49. What is the least common multiple of a and 9?
90
Find the common denominator of 318/20 + 0 + -4 and 806/(-144) + (-2)/(-9).
40
Let i(n) = n**2 + n - 42. Let l be i(0). Calculate the common denominator of (-2)/(-1) - 18/16 and 0 + 3 + l/20.
40
Let m = 19 + -10. Suppose 29 = 3*h + 2*o, -h + 2*o + 25 = 2*h. What is the lowest common multiple of (-6)/m + (-14)/(-3) and h?
36
Let k = -893/10 - -87. Calculate the common denominator of 2/1 - (-218)/36 and k.
90
Suppose 0 = 3*p - 4*p + 12. What is the lowest common multiple of p and (30/(-6))/(2/(-4))?
60
Let l = -5047 + 50543/10. Find the common denominator of 41/6 and l.
30
Let w(o) = 2*o**2 + 3*o - 9. What is the least common multiple of 22 and w(3)?
198
Let g be ((-4 + 3)*11)/1. Let u be (15/(-4))/(2/(-8)). Let f = g + u. Calculate the least common multiple of f and 8.
8
Suppose 4*i + 4 = 8. Let j = 13 + -6. What is the least common multiple of i and j?
7
Let k(a) = a**3 - 2*a**2 + 1. Let n be k(1). Suppose 5*z + 5*b - 25 = n, 0*b = -4*z - b + 23. Calculate the least common multiple of 6 and z.
6
Let j be (1/(-2))/(2/12). Let u(k) = -k**3 - 5*k**2 - 2. Let w be u(j). What is the common denominator of 97/(-10) + (-8)/w and 37/6?
30
Let k = 18110/11 - 1643. What is the common denominator of k and 51/8?
88
Let g = -4607 + 92099/20. What is the common denominator of g and -27/22?
220
Let t = 33 + -19. Suppose 2*q + 2*q = -p - t, p - 14 = 3*q. Calculate the least common multiple of 11 and p.
22
Let y be ((-2)/25)/(12/(-3555)). Let c = -28 + y. What is the common denominator of c and (-15 - 0)*164/1025?
10
Suppose -3*i = i - 44. Suppose -3 = -2*w + 5. Calculate the lowest common multiple of i and w.
44
Let s be (-37)/(-7) - (-14)/(-49). Calculate the smallest common multiple of 8 and 7 + -3 + s + 1.
40
Let f be ((-37188)/(-1192))/(0 + -8). Let t = f - -13/149. Find the common denominator of (-4)/24*366/20 and t.
80
Calculate the common denominator of (3766/72)/7 + -4 - 0 and -13/51.
612
Calculate the common denominator of -13/20 and (-2)/6 + (-182)/(-132).
220
Suppose -n = -3*n + 40. Let v be n/(-2)*(-1)/2. Let l(a) = 3*a - 6. Calculate the smallest common multiple of 9 and l(v).
9
Suppose 4*n - 72 = -5*w, -20 - 25 = -3*w - 3*n. Suppose 0 = 8*o - 2*o - w. What is the least common multiple of o and 5?
10
Let f = -17291/2576 - -165/161. Calculate the common denominator of f and -16/5.
80
Suppose -3*z - 2*d = -8, 0 = -4*z - d + 4. What is the least common multiple of 16 and 2/((-4)/(-12) - z)?
48
Let y = -3/1484 + 51213/7420. Find the common denominator of y and -3/31.
310
Let z(g) = 2*g**2 + g - 1. Suppose -5*m = 4*j + 15, -5*j + 2 - 5 = m. Suppose j = -4*v + 35 + 29. What is the smallest common multiple of v and z(3)?
80
Let x = -1331173/57 - -23353. Find the common denominator of x and 17/33.
627
Suppose -5*j - 8 - 100 = r, 3*j + 75 = -4*r. Suppose o = 2*o - 41. Let t = o + j. What is the least common multiple of t and 16?
80
Let v(f) = -f**2 - 11*f - 9. Let a be v(-10). Let d = 2 - a. Let x(y) = -y**2 + 7*y - 5. What is the least common multiple of x(4) and d?
7
Suppose 3*z = 3*u + 240, -4*u + 190 - 18 = 2*z. Calculate the least common multiple of z and 16.
656
Let w = 