8. Let q be l(10). Calculate the least common multiple of (-1 - (-1 - 3))/1 and (-62)/(-6) + q/(-6).
30
Let p(x) = x**3 - 5*x**2 - 5*x - 1. Let f be p(6). Suppose 2*g - f = 1. What is the common denominator of 61/2 and (2 - g) + (-46)/(-8)?
4
Let l(x) be the first derivative of -x**3/3 + 11*x**2/2 - 7*x + 2. Let f be l(10). Suppose f*y + 2*y = 40. What is the lowest common multiple of y and 18?
72
Let s(w) = -73*w**3 + 9*w**2 - 9*w - 9. Let i be s(11). Let k be i/(-4)*(-1)/(-8). Let l = k - 3001. Find the common denominator of 103/20 and l.
80
Let v = 251825/12436 - -1/3109. Calculate the common denominator of -109/14 and v.
28
Suppose 0 = 4*a - 2254 - 3402. Let i = 19753/14 - a. Find the common denominator of i and 51/20.
140
Let b = -1606 - -3285/2. Let v = b - 35. Let d = -17/73 - -4827/1606. Find the common denominator of d and v.
22
Suppose 0*b + 5*b + 3*j - 1 = 0, 3*b - 3 = -j. Suppose 3*x - 12 = t, -11 = -t + 5*x - 31. Let k = b - t. What is the smallest common multiple of k and 7?
14
Suppose 2 = -2*k + 5*h - 63, 4*k = -3*h - 65. Let x = k - -34. Calculate the lowest common multiple of 18 and x.
126
Suppose 0*o = -2*o - 2, 124 = 5*w - 4*o. Suppose -w = q - 4*q. Suppose 5 = -a, 2*n + 5*a + 46 = 5*n. What is the lowest common multiple of q and n?
56
Let d = 6 + -3. Suppose -2*b - u = -15, -2*b + 0*u + 35 = -d*u. Calculate the smallest common multiple of 3 - (0 + 1 + -2) and b.
20
Calculate the common denominator of (-14)/(-54) + (-28)/(-14) and 143/12.
108
Let y(f) = f**2 - 2*f. Suppose -5*z - 4*t + 2 = -24, 2*z = 3*t - 8. Let k be y(z). What is the least common multiple of k - (0 + -13 + 3) and 7?
70
Let i = 1545 + -3147/2. Find the common denominator of i and (-6)/3 - (-35)/8.
8
Let t = -19/6 + 107/36. Find the common denominator of t and -133/18.
36
Let w = -1140 + 4587/4. Calculate the common denominator of -67/10 and w.
20
Let t = -298 - -5957/20. What is the common denominator of t and (-2)/(-8)*(-6)/(-7)?
140
Let j(k) = 28*k - 2. Let u(n) = n**3 + 4*n**2 + 2*n + 2. Let m be u(-2). Let d be j(m). What is the common denominator of -47/4 and ((-18)/24)/(9/d)?
12
Let p be (1932/(-1026))/(1/14). Let d = p + 636/19. What is the common denominator of d and -51/10?
90
Let u = 169 + -274. What is the common denominator of 63/4 and (-6)/(-2)*u/(-40)?
8
Let b = 4 + -2. Calculate the smallest common multiple of 8 and b/(-7) + 142/7.
40
Suppose 0*w + 30 = 3*w. Let t = 0 + 0. Calculate the least common multiple of (2 + t)/((-3)/(-12)) and w.
40
Let c(x) = -x**3 + x**2 + 5*x - 5. Let n be c(-5). Suppose 5*r = -n - 350. Calculate the common denominator of -39/14 and r/6*(-6)/40.
140
Find the common denominator of -31/4 and 4/14 - (-324)/140.
20
Suppose 0 = 4*u - 2*v - 2509 + 7181, 3*v = 4*u + 4670. Let t = -8159/7 - u. Let h = -1479/5 - -294. What is the common denominator of t and h?
35
Suppose -5*j + 250 = -10*j + 3*x, 200 = -4*j - x. Suppose 0 = -4*k - 3*w - 529, -2*k = -3*k + 5*w - 115. What is the common denominator of j and (1 - 0)*k/18?
9
Suppose -4*y + 38 = 6. What is the lowest common multiple of 16 and y?
16
Let n be -2 + ((-831)/(-350))/(-1). Let v = 4/25 + n. Calculate the common denominator of v and 33/(-42) + (-1 - -3).
14
Suppose 7*n - 14 = 6*n. Let g = n - 5. What is the least common multiple of g and 11?
99
Let a(j) = -3 - 3*j + j**3 - 11*j**2 + 2*j - 2*j**3. Calculate the lowest common multiple of a(-11) and 2.
8
Calculate the common denominator of 3/18*(-83)/2 and -85/26.
156
Suppose 5*i + 36 = 201. Calculate the smallest common multiple of i and 1.
33
Find the common denominator of -91/2 and (-466)/(-90) - (-4 + 102/27).
10
Let a = -64565 + 1806907/28. Let c = -3/28 - a. Suppose v + 7 - 1 = 0. Calculate the common denominator of v and c.
2
Let c = 5657/8 + -712. Calculate the common denominator of c and 8/57.
456
Suppose 32 = -6*d + 10*d. Calculate the least common multiple of 7 and (d/(-12))/((-1)/3).
14
Suppose d = 3*o + 4, -35 - 19 = -5*d - 2*o. Let v(n) = n - 3. Calculate the smallest common multiple of v(7) and d.
20
Suppose 4*k = 2*k + 20. Calculate the smallest common multiple of k and 14.
70
Suppose 7*v - 3*v - 16 = 0, -3*i - 4*v = -28. Calculate the smallest common multiple of 5 and i.
20
Let n(u) = -u + 9. What is the smallest common multiple of 20 and n(-5)?
140
Let a = -4961654/45 + 110274. Let p = a + -262/15. Find the common denominator of 65/9 and p.
9
What is the smallest common multiple of 6 and 27/21 + 2/(-7)?
6
Let d = 14 - -6. Let f(j) = 2*j + 2. Calculate the lowest common multiple of d and f(6).
140
Let f = 137297/19272 + 2/2409. What is the common denominator of (113/42)/((-2)/(-6)) and f?
56
Let i = 57575379773/2118 + -27183820. Let y = -9/353 - i. Find the common denominator of y and 151/18.
18
Suppose 3*x = 16 + 11. Let s(w) = -2*w + 5*w**2 - 4*w**2 - 5*w + 1. Calculate the smallest common multiple of x and s(7).
9
Let d = 16 - 17. Suppose 0 = 3*q - 5*s - 48, 4*q = -5*s + 14 + 15. What is the smallest common multiple of q and d + 1 + 9 + 1?
110
Let l = 90685/12 + -7562. Find the common denominator of 174/16 + (-3)/6 and l.
24
Let d(j) = 2*j - 3. Suppose 8 = 3*i - i. Let u be d(i). Suppose -o - 26 = -2*n - u*o, -3*n - 5 = -5*o. What is the smallest common multiple of 8 and n?
40
Calculate the lowest common multiple of 2 and 1*(-1 - -3 - -1).
6
Suppose -3 = -5*p + 2. What is the smallest common multiple of 14 and (-1 + -1)/(p/(-2))?
28
Let g be 2/(-10) + 5273/5. Let w = -1048 + g. Find the common denominator of w and -97/4.
20
Suppose -15 - 21 = 4*x. Let w = x - -6. Calculate the least common multiple of w/(-5)*(-7 - -22) and 2.
18
Let p = 3556 + -9777. Let t = p + 55931/9. What is the common denominator of 36/11 and t?
99
Let x be (-9)/((-6)/(-4) - 0). Let t = x + 11. Find the common denominator of -119/6 and (1 - 142/(-4))/t.
30
Suppose 2*m + 5 = -3*m. Find the common denominator of m/(-4) - 237/(-20) and (82/(-40))/((-5)/(-30)).
10
Let v(i) be the first derivative of -11/2*i**2 - 9*i + 1 - 1/3*i**3. Calculate the lowest common multiple of 7 and v(-10).
7
Suppose -5*v - 90 = 5*i, 4*v + 3*i + 67 = -2*i. Let p(h) = -3*h + 14. Let d be p(10). What is the common denominator of (3 + d/11)*3 and v?
11
Suppose 0 - 42 = -3*q. Let x(v) = 4*v - 6. What is the smallest common multiple of q and x(6)?
126
Calculate the common denominator of 11/34 and 4 - (-402)/(-33) - 4/(-1).
374
Suppose 3*i - 30 = -3*a + 21, 78 = 4*i + 2*a. Suppose 5*v = -4*r - 1, 0*r + r - v = 11. What is the least common multiple of r and i?
66
Let n(x) be the first derivative of -x**4/4 + 4*x**3/3 - x**2/2 - x - 1. Calculate the lowest common multiple of 8 and n(3).
40
Suppose 0 = -4*i + 36 + 12. What is the smallest common multiple of i and 24?
24
Let r(i) = i**3 - 6*i**2 - 6*i - 4. Let a be r(7). Suppose x = a*x. Suppose t + 3 = 6, 4*d + 4*t - 28 = x. Calculate the smallest common multiple of d and 10.
20
Let r(y) = -y - 13. Let i be r(-11). Let j(p) = p**3 + 3*p**2 - 1. Let b be j(i). What is the common denominator of (-305)/105 - 2/b and -13/7?
7
Let d = 2853/427 - -2/61. Let t be (-2)/(-2)*(3 + -226). Let u = t + 2402/11. Find the common denominator of d and u.
77
Let r be (-814)/6 - 4/(-6). Calculate the common denominator of (-1)/21*(-606)/(-4) and 40/(-6)*r/24.
14
What is the common denominator of 530/(-70) - 2/7 and 23/(1*-8 + -1)?
63
Suppose y - 48 = -3*y. Calculate the smallest common multiple of y and (36/(-15))/(-6)*5.
12
What is the common denominator of 33/4 and (32/80)/(12/535)?
12
Let z be (-11)/3 + 2/3. Calculate the lowest common multiple of -2 + -3 + 9 + z and 4.
4
What is the common denominator of -53/30 and ((-2)/(-4))/(9/(-48)*11)?
330
Let h(p) = p**3 - 8*p**2 + 6*p - 1. Let f be h(7). What is the common denominator of -17/5 and (-1227)/(-105) + f/28?
5
Suppose -5*x = -57 + 17. Calculate the lowest common multiple of 14 and x.
56
Let q = 563/72954 + 1/378. Let s = q + 7495/3088. Let u = 198/5 + -1167/20. Find the common denominator of s and u.
16
Suppose 0*a = -2*a - 10, 20 = 3*o - 4*a. Suppose -6 = -o*c - 2*c. Suppose -2*m = 0, -3*n + c*m + 42 = -0*n. Calculate the smallest common multiple of 22 and n.
154
Suppose -a = 5*r - 25 - 10, 4*r - 28 = 3*a. What is the least common multiple of 2 + 0 + -1 - -8 and r?
63
Wha