4.
12
Let s = 7370 + 2825. Let p = s + -142645/14. What is the common denominator of p and -79/8?
56
Let q = -8 - -10. Calculate the common denominator of 41/12 and 2/(12*q/(-57)).
12
Let c = -1384/7 + 15371/77. Calculate the common denominator of c and (-34)/4*4/14.
77
Let f = -11 + 7. Calculate the smallest common multiple of 2 and (-2 - -2 - 2)*f.
8
Let h = 28614320/99 - 5438471404/18909. Let u = h + -10/573. Let m = u + -85333/60. Calculate the common denominator of m and 47/14.
140
Let c(r) = -r**3 - 4*r**2 - 2*r - 4. Let x be c(-4). Find the common denominator of 9 and ((-1)/3)/(x/255).
4
Let q(a) = -a**2 + 4*a + 2. Let i be q(5). Let x(k) = k - 9. Let o be x(7). What is the least common multiple of ((-2)/i)/(o/(-24)) and 3?
24
Let j(i) = i**3 + 4*i**2 + 6*i + 9. Let m be j(-7). Let p = 3347/639 + -9/71. Find the common denominator of 2/(-15) - (-2118)/m and p.
90
Let z(t) = 10*t**3 + 2*t**2 - 1. Suppose 4*k = k. Suppose v - 1 + 0 = k. What is the least common multiple of v and z(1)?
11
Let y be ((-6)/9)/((-382)/(-24)). Let j = y + 2714/955. Calculate the common denominator of -19/10 and j.
10
Suppose 0 = -2*m + m + 12. What is the lowest common multiple of 8 and m?
24
Let i = 4 + -4. Suppose -y + 6 = -i. What is the lowest common multiple of 2 + y + -1 + 3 and 8?
40
Let x(f) be the first derivative of -3 + 5/2*f**2 - 3*f. What is the least common multiple of x(2) and 9?
63
Let q(a) = 446411*a**2 - 4*a. Let z be q(-4). Let l = -142816887/20 + z. Let t = 1747 - l. Find the common denominator of t and -45/8.
40
Let k = 28 - 10. Suppose -3*z - 11 = -47. Suppose -8*f - 72 = -z*f. Calculate the smallest common multiple of k and f.
18
Let z(n) = -n**3 - 6*n**2 + 6. Let l be z(-6). Let t = l - -3. What is the least common multiple of t and 6?
18
Let w(v) = 2*v + 13. What is the lowest common multiple of 8 and w(-6)?
8
Let r = -20 - -31. What is the smallest common multiple of r and 3?
33
Let q be 1*3*11553/(-216). Let b = q + 1215/8. Calculate the common denominator of 71/22 and b.
132
Let y(a) = -a - 8. Calculate the smallest common multiple of 11 and y(-11).
33
Let p = -219/77 + 18/7. Let r = -287/24 - -91/12. What is the common denominator of p and r?
88
Let h(w) = w**2 - 5 + 0 + w + 3. Let q(l) = l**3 + 6*l**2 + 4*l - 3. Calculate the least common multiple of h(-3) and q(-5).
4
Let z = 19 + -9. What is the smallest common multiple of 2 and z?
10
Let x(i) = i**3 + 4*i**2 - 7*i - 4. Let w be x(-5). Suppose 102 - 2 = 5*f. Calculate the least common multiple of 34/w + (-1)/(-3) and f.
60
Let o be 10/(2 + 8/(-6)). Suppose -x - a = x - 5, -o = -3*x - 3*a. Suppose x = 3*z - 3 - 21. Calculate the lowest common multiple of z and 6.
24
Suppose 0 = 2*k - 31 + 3. What is the lowest common multiple of k and 102?
714
Let h be -3 + 0 - (-999)/329. Let f = h - 23455/2632. Let c = f - -129/8. Calculate the common denominator of c and -49/6.
12
Let c(v) = -v + 6. Let g be c(8). Suppose -w - n + 0 = -2, 0 = 5*n. What is the smallest common multiple of w and (-1)/((-2)/16) + g?
6
Let d(j) = -j**3 + 6*j**2 - 5*j + 1. Suppose p + 12 = 4*p. Let u be d(p). Suppose -4*o - u = -53. What is the lowest common multiple of o and 5?
10
Suppose -4*b + w = -31, 4*b + 3*w = -0*b + 19. Let p = b - 87. What is the common denominator of -53/4 and 6/(-3) - p/18?
36
Calculate the least common multiple of (-7 - -16)*(-4)/(-6) and 9.
18
Suppose 6*y = 3*y - 60. Find the common denominator of (54/15 - 4) + (-658)/(-20) and (-6)/y + (-2 - -1).
10
Let d be ((-3)/(-126360))/((-3)/(-44306)). Let m = d - 2/3159. Calculate the common denominator of m and -20/7.
140
Let j(r) = -r**2 + 6*r - 6. Let o be j(5). Calculate the common denominator of 0 + -2 + (-69)/(-2) and 62/12 - 3*o.
6
Let g(f) = -f**3 - 8*f**2 - 13*f - 4. Let h be g(-9). Let k = h + -811/4. Calculate the common denominator of -71/16 and k.
16
Let w = 2824 - 14166/5. Suppose -r - 1264 = -5*r. Calculate the common denominator of w and (r/(-4))/(1 - -5).
30
Let n be (-2)/6 - 3/(-9). Let w be n - -1 - 0 - -5924. Let d = 47341/8 - w. Calculate the common denominator of d and -99/4.
8
Find the common denominator of (-1)/4 - 81/28 and (-6)/(-27) - (-1)/3.
63
Let o = 2180 - 5889/2. Let p = -5/11204 + -2109852/2801. Let h = p - o. Calculate the common denominator of 145/12 and h.
12
Let r be (-222)/(-27) + 4/(-18). Let t = 5758 + -46141/8. Find the common denominator of t and (3 + -25)/(r/18).
8
Suppose -w = w - 4. Calculate the least common multiple of 10 and w.
10
Let p = -192739/5811 - -1298/39. Calculate the common denominator of p and 57/2.
298
Suppose 3*n + 184 = 4*c, 2*n - c = -0*n - 121. Calculate the common denominator of n/105 - 97/14 and -29/18.
18
Let h(i) = i - 4. Let d be h(-4). Let z be (-2)/d + 81/12. Suppose -4*m = 5*n + 9 - 0, z = 3*m + n. Calculate the smallest common multiple of m and 5.
20
Suppose -4*z - y + 16 = 0, -z - 5 = 4*z - 5*y. Suppose 0 = z*h - 6*h + 21. What is the least common multiple of 5 and h?
35
Let p(g) = 5*g**2 - 4*g - 11. Let z be p(-12). What is the common denominator of -59/22 and z/234 - 6/(-39)?
198
Find the common denominator of (-2)/8 - -1 - 16 and -83/14.
28
Calculate the common denominator of ((-74)/8)/(20/16) and 11.
5
Calculate the common denominator of 103/6 and 4/(-10)*(-1411)/102.
30
Let i be 0 - (3 + -1 + -1). Calculate the least common multiple of 4 and (0 - -5)/(i + 2).
20
Let h = -244597/53694 + -1/5966. Find the common denominator of 10076/(-2420) - (-1 - 12/(-10)) and h.
99
Suppose 3*b = 4*l - 20, 0 = -4*b - 1 - 15. Let c = 0 + l. Calculate the smallest common multiple of c and 12.
12
Suppose -4 = -3*a + 2*h, -5*a - 4*h + 1 = -13. Suppose -g + 15 = a*l, 3*g + 10 = 4*l + l. What is the smallest common multiple of 8 and g?
40
Let p = -975/2 + 476. What is the common denominator of -38/7 and p?
14
Let g be 16 + (-2)/(-4)*4. Suppose 3*o = 2*t + g - 3, 0 = -5*t + 4*o - 41. Calculate the common denominator of (-19)/(-3) - (-3)/t and 59/2.
2
Suppose 4*p = -4*r + 29 + 23, -2*r + 18 = p. What is the smallest common multiple of p and 20?
40
Suppose 16 + 9 = 5*s + 3*h, 3*h - 15 = 0. Suppose -s*b - 2*b = -16. Let t = -15 + 21. Calculate the least common multiple of t and b.
12
Find the common denominator of (5/140)/((-2)/460) and -61/8.
56
Let v be -2 - -2*(-5)/(-2). Suppose 2*u + 2*u = -v*x - 190, -5*u = -x + 228. What is the common denominator of -45/4 and u/10 + -1 - 1?
20
Suppose -4*o = -55 + 23. Suppose -3*p + 4*p - 18 = 0. What is the smallest common multiple of p and o?
72
Suppose -4803 = s + 2*s. Let y = s - -193725/121. Let a = y + 7131/242. Find the common denominator of 39/7 and a.
14
Let d(c) = -c**3 - 6*c**2 + 8*c + 5. Let t be d(-7). Calculate the common denominator of (-3)/(-15) + 4*t and -37/27.
135
Let i(w) = w**3 + 2*w + 1. Let g be i(-1). Let r(f) = -f**3 + 2*f**2 + 2*f - 1. Suppose 13*c + 15 = 18*c. Calculate the lowest common multiple of c and r(g).
33
Find the common denominator of (-2)/12*127/(-1) and -59/8.
24
Let u = -19257 + 346535/18. Let v(f) = -235*f + 1. Let p be v(3). Let c = p + 5731/8. Find the common denominator of u and c.
72
Let w = -7887/406 - -408/29. Calculate the common denominator of w and 11/8.
56
Let d = 61343/2814 - -16/469. Let i = 2074177 - 41424183/20. Let k = i - 2969. Calculate the common denominator of d and k.
60
Let i(r) = 11*r**2 + r - 1. Let t = 4 + -3. What is the common denominator of 38/11 and i(t)?
11
Let r(n) = -6*n - 33. What is the least common multiple of 10 and r(-7)?
90
Suppose -2*b + 3 = -5. Suppose 4 = 4*g - b*r, -g + 3*g - 8 = -r. What is the smallest common multiple of 11 and g?
33
Let g be 3972325/(-6468)*(-10)/1553. Let f = -2/32613 + g. Find the common denominator of (-37 - 1)*2/(-64) and f.
176
Calculate the lowest common multiple of ((-20)/8)/(1/(-12)) and 2.
30
Let o = 22 + -12. Let n(q) = q**2 + 3*q. Let x be n(-3). Let y(w) = w**3 - w**2 + w + 11. Calculate the smallest common multiple of o and y(x).
110
Find the common denominator of -7/27 and 356/120 - 3 - -3.
270
Let o be -3*(14/6 + -1). Suppose m = 5*u - 49, -4*u + 2*m = -3*m - 35. Calculate the smallest common multiple of (o/5)/(4/(-10)) and u.
10
Suppose 4*t - 37 = g, 2*t + 2*g - 13 - 3 = 0. Let b = t + -3. Calculate the smallest common multiple of (384