Let i(w) = w**3 - 7*w**2 - 7*w - 6. Let r(v) = 2*v**2 - 8*v + 6. Suppose -x + 3*x = 10. Calculate the least common multiple of r(x) and i(8).
16
Let k = 3/1573 - 105433/22022. Let f be (-3)/(-12) + (-16366)/(-40). Let j = f + -412. Find the common denominator of k and j.
70
Suppose -4*l - 5*q = -8*l + 41, q = 4*l - 53. Calculate the smallest common multiple of l and 8.
56
Suppose 0 = -5*z + 2*z - 9. Let n(g) = -6*g - 4. Suppose -j - 3*j + 64 = 0. What is the smallest common multiple of j and n(z)?
112
Let n be 28 + 4/(-2) + 3. What is the common denominator of 1/(-28)*(156 + 2) and 3/24*(n + 0)?
56
Let z be (-4)/10 - (-2726)/10. Let i = z - 4999/20. Calculate the common denominator of -59/5 and i.
20
Let m = 6 + -1. Let t = 9 + 12. What is the smallest common multiple of m and t/3 + 3/3?
40
Let c be 490/25 - (-4)/10. Suppose i - c = -2. What is the smallest common multiple of 6 and i?
18
Let g be 5/10*2/117. Let c = -4327/234 - g. What is the common denominator of 32/5 and c?
10
Calculate the common denominator of (-1)/2 + (-3)/(792/(-404)) and 13/21.
231
Let k(m) = m**2 - 5*m + 3. Let n be k(4). Let x = n + 11. What is the smallest common multiple of (-114)/(-15) - (-4)/x and 3?
24
Let x be -4 + 4 - -14 - 4. Suppose -p + w + 7 = 0, 2*w + 11 = 2*p + 3*w. Calculate the lowest common multiple of p/(-8)*(-6 - x) and 16.
48
Calculate the lowest common multiple of ((-1)/(-2))/(0 + (-3)/(-24)) and 11.
44
Let c be 2/(6/165) - 1. Let u = c - 99. Calculate the common denominator of 208/u + (-2)/(-5) and 1/11.
99
Let k(n) = -2*n**3 + 2*n**2 - 2*n + 1. Let g be k(2). What is the common denominator of (g/(-3))/(2/8) and 2 - 3 - 85/6?
6
Let w(v) = -v**3 - 4*v**2 + v - 12. Calculate the smallest common multiple of 3 and w(-5).
24
Let v = -22225/16 - -1386. Find the common denominator of 18/40 - (2 + -1) and v.
80
What is the common denominator of (153/(-6))/(3 - -1) and (84/54)/((-8)/(-6))?
24
Calculate the least common multiple of 32 and (-1)/(3 - (2 + 23/22)).
352
Suppose 0 = -r - 5*f - 2878, -r - 2*f - 795 = 2089. Let m = r + 46223/16. Find the common denominator of m and 89/8.
16
Let a = -1 + 2. Let t(h) = 7*h - 1. Let l be t(a). Suppose -y + l = -3*b + b, -b = 1. Calculate the smallest common multiple of y and 7.
28
Let g(t) = t**2 - 5*t - 5. What is the smallest common multiple of g(7) and 4?
36
Suppose -3*p + 56 = -p. Suppose -4*n - 4*r = -3*n + 14, -4*n + 5*r + p = 0. What is the smallest common multiple of ((-5)/n)/(-5)*10 and 3?
15
Let z be (-72)/(-7) - 4/14. What is the common denominator of 12/28 + 361/(-42) and (-53)/35 + z/(-35)?
30
Let u = -27655/7002 - -2/389. Let t = 206873/2731 - -1/10924. Let v = t - 382/5. Find the common denominator of v and u.
180
Let t be (-147)/(-35) + (-2)/10. Suppose -4*n + 2 = -c, 3 - t = -n. Calculate the smallest common multiple of 4 and (-30)/(-2) + -1 - c.
12
Suppose -3*a = -12 - 0. Let k be -1 + (5 - 2) + -2. Suppose k = p - 2*t, 4*p = t + 3 + 11. Calculate the least common multiple of a and p.
4
Let k be 0 + 0/(-1) - -3. Suppose 4*x + l + 10 - 49 = 0, -59 = -4*x + k*l. Suppose -10 = 5*b - 45. Calculate the lowest common multiple of x and b.
77
Suppose 5*o - 7 = 13. Let z(h) = -h**2 - 4*h - 3. Let i be z(-5). Let m = i + 11. What is the least common multiple of o and m?
12
Let k = 67041/112 - 4215/7. Let v = 21 - 133. Let l = -459/4 - v. Calculate the common denominator of l and k.
16
Let g = 10 - 7. Suppose 5*d - w + 0*w = 14, 0 = g*d + 3*w + 6. What is the lowest common multiple of 6 and (5/2)/(d/8)?
30
Let f(n) = -20*n**2 + 7*n. Let x(c) = -4*c**2 + 3*c - 1. Let h be x(2). Let z be f(h). Let d = -14837/6 - z. Calculate the common denominator of 71/20 and d.
60
Let u be (-4)/8 - 353/(-5). Let y = -133/5 + u. Find the common denominator of y and (-1)/2 + 7/(-8).
8
Find the common denominator of 127/30 and (20/(-72))/((-2)/(-46)).
90
Suppose 11 + 3 = y. What is the least common multiple of y and 8?
56
Calculate the smallest common multiple of (-3)/(-7) - (-5625)/105 and 18.
54
Let q(t) = -19*t**3 - 2*t**2 - 2*t - 1. Suppose 0 = 20*a - 25*a + 10. Calculate the least common multiple of a and q(-1).
18
Let r = 2987 + -9645/2. Let n = r - -1875. Find the common denominator of -45/7 and n.
14
Suppose 10 = 3*n - 5*y, -2*n - 2*y = -0*n + 4. What is the common denominator of n + (1 - (-138)/15) and (3/(-30))/(7/(-833))?
10
Let v = 81 - 79. Let f = 20 + -7. Calculate the lowest common multiple of v and f.
26
What is the common denominator of (-1)/(-1) + (-254)/(-12) and 31/(-8) + (-2 - (-3 - 2))?
24
Let v be (6/4)/(9/(-12)). Let l = 44/101 + -4089/808. What is the common denominator of v + (-3)/((-48)/29) and l?
16
Let i = -2947/16 + 184. Calculate the common denominator of i and 3 + 1 + 455/(-30).
48
Let y = -13 - -29. Let l = -21 - -35. What is the smallest common multiple of l and y?
112
Let f = -6 + 10. Let y be f/(-18) - 85655/72. Let s = -1185 - y. Find the common denominator of 79/14 and s.
56
Let j be -2 + 3/((-168)/98276). Let v = j - -1756. What is the common denominator of -41/4 and v?
28
What is the common denominator of 113/14 and 86/40 + (-4)/8?
140
Let g = -33204/5 - -5212658/785. Let s = 16911/1570 + g. Find the common denominator of 4/11 and s.
110
Calculate the common denominator of (-23)/4*(-24)/(-16) and 27/2.
8
Let n = -823/9 - -90. Find the common denominator of n and (-6)/4*(-33)/(-2).
36
Let q = -4/177 - 1577/708. Let g = -192454375/18 - -10696385. Let o = -13445/3 + g. Find the common denominator of q and o.
36
Let s = 15 + -9. What is the common denominator of 4/s*655/20 and -99/10?
30
What is the least common multiple of (-18 - -10)*14/(-8) and 18?
126
Let x be -35*(-1 + (-465)/(-468)). Let l = x + 1325/468. Find the common denominator of l and (-12)/(-66) - (-1274)/(-352).
144
Let d = -217 + -943. Let n = d + 11619/10. What is the common denominator of -133/12 and n?
60
Let o = -1587/2 - -810. Find the common denominator of o and -28/11.
22
Let h = 6 - 4. Suppose -4 - 4 = -h*q. Let d(i) = i**2 + 2*i - 1. What is the smallest common multiple of q and d(-4)?
28
Let w(u) be the second derivative of 2*u**2 + 0 + 4*u + 1/3*u**3. Calculate the lowest common multiple of w(4) and 12.
12
Let f = -143/32 - -5533/1632. Let g = 1913/102 - f. Let q = 371/2 + -198. What is the common denominator of g and q?
6
Let t = -5680/1533 + -2/219. Let p = t + -62/21. Find the common denominator of -3/10 and p.
30
Suppose -28 + 4 = 4*x. Calculate the common denominator of (2/20)/(x/342) and -75/4.
20
Let w(m) = m**2 + 3*m + 10. What is the least common multiple of w(-5) and 12?
60
Suppose -2*o + 15 = -5*c, 7*c - 53 = -5*o + 4*c. Calculate the smallest common multiple of o and 30.
30
Let h(a) = -a**3 + 2*a**2 + 4. What is the lowest common multiple of 7 and h(2)?
28
Let u = -134 - -97152/725. Let f = -1309/1450 + u. Find the common denominator of 15/11 and f.
110
Suppose -4*w = -4*j + 3*j - 15, -6 = -2*w + 2*j. Let u(g) = 2*g - 5. Suppose 9 - 69 = -6*k. Calculate the least common multiple of k and u(w).
30
Let x(g) be the first derivative of 2*g**3/3 + g**2/2 - g - 1. Suppose 31*y + 32 = 33*y. What is the smallest common multiple of x(3) and y?
80
Let y be (-35 + 4)/((-1)/(-1)). Let a = -11 - y. What is the lowest common multiple of 12 and a?
60
Suppose -f - 60 = -6*f + 4*g, -g = -2*f + 21. What is the least common multiple of 5 and f?
40
Let x be 0 + (-190065)/42*3. Let g = x - -13568. Calculate the common denominator of g and (-33)/16 + (-4)/(-8).
112
Let c be 4/14 - 6240/(-14). What is the common denominator of c/(-24) + 3/(-12) and -75/22?
66
Let a(c) = -c**3 + 0*c**3 + 4*c**3 + 2 - 2*c**3 + 9*c**2. Calculate the least common multiple of a(-9) and 16.
16
Suppose -4*m + 1930 = -2*m - 5*l, -l = 3*m - 2912. What is the common denominator of (-12)/42 - m/84 and 33/16?
48
Find the common denominator of -77/6 and (-5)/(-10)*101/5.
30
Calculate the smallest common multiple of 4 and 39/3 - (0 + 0).
52
Let k be 5 + -7 + (-796)/(-414). Let o = k - 10063/1035. Find the common denominator of o and -41.
5
Suppose -5*c = -4*t - 0*c + 18, t + 2 = -2*c. Let i = -3 + 25. What is the least common multiple of t and i?
22
Let v = 232 - 917/4. Find the common denominator of 5/14 and v.
28
Find the common denominator of 115/(-16