derivative of s**4/24 - s**2. Let a(u) = 3*u. Determine l(a(w)).
3*w
Let h(u) be the third derivative of u**5/15 + 25*u**2. Let i(p) = 3*p**2. Give i(h(v)).
48*v**4
Let z(j) = 5086*j. Let s(y) = -y**2. Give z(s(n)).
-5086*n**2
Let n(z) be the third derivative of z**4/8 - 14*z**2. Let w(h) be the second derivative of h**4/6 - h. What is n(w(i))?
6*i**2
Let f(w) = 3*w - 6*w + 2*w. Let m(r) = -2*r**2 + 5*r - 5. Let s(v) = -9*v**2 + 24*v - 24. Let j = -7 + -17. Let b(h) = j*m(h) + 5*s(h). Determine b(f(n)).
3*n**2
Let g(m) = -3*m + m**2 + m + 2*m. Let v(h) = 2*h**2 - 3*h**2 + 2*h**2. Calculate v(g(o)).
o**4
Let m(w) = w. Suppose -3*u + 3*q = 5*q - 17, -5*u + 24 = -q. Let p(i) = i - 2*i + u*i - i. Determine p(m(z)).
3*z
Let x(n) = 5*n + 6. Let i(v) = -4*v - 5. Let l(s) = -6*i(s) - 5*x(s). Let a be 8/(-6)*6/(-4). Let h(z) = 5*z**a - z**2 - 6*z**2. What is h(l(k))?
-2*k**2
Let k(h) = 9*h**2 + 9*h + 9. Let x(d) be the second derivative of -d**3/6 - d**2/2 + d. Let c(r) = k(r) + 9*x(r). Let g(o) = 2*o. What is c(g(n))?
36*n**2
Let o(r) = -2*r**2. Let t(b) = 6*b + 5. Let x(d) = -6*d - 4. Let m(g) = -4*t(g) - 5*x(g). Determine o(m(q)).
-72*q**2
Let i(t) = 119*t + 1. Let y(p) = -2*p**2. Determine i(y(j)).
-238*j**2 + 1
Let x(f) be the third derivative of -f**5/30 - f**2. Let c(m) = 8*m + 2 - 6*m - 2. Determine c(x(l)).
-4*l**2
Let f(v) = 10*v. Let t(p) = -1419*p. Determine t(f(r)).
-14190*r
Let o(x) = -8*x**2 - 6*x - 6. Let w(z) = 7*z**2 + 5*z + 5. Let u(k) = 5*o(k) + 6*w(k). Let r = 8 - 6. Let s(b) = 2*b - r*b + 2*b. Calculate s(u(p)).
4*p**2
Let q(k) = -14*k. Let a(f) = -2*f. Calculate q(a(n)).
28*n
Let d(o) be the second derivative of 0*o**2 - o + 0 - 7/6*o**3. Let x(g) = -g**2. What is x(d(c))?
-49*c**2
Let m(j) = -15*j - 6*j + 11*j. Let o(l) = 3*l**2. Determine o(m(v)).
300*v**2
Let w(v) = -v. Let b(u) = 5*u - 2*u - 4*u. Let z(a) = 2*a. Let g(x) = 3*b(x) + z(x). Calculate w(g(y)).
y
Let x(a) = -3*a. Let w(q) = q**2 + q - 1. Let k(m) = 8*m**2 + 6*m - 6. Let h be (4*-1)/(2/3). Let r(n) = h*w(n) + k(n). Give r(x(s)).
18*s**2
Let w(t) = -6*t. Let v(a) be the second derivative of a**3/6 - 5*a. Determine v(w(r)).
-6*r
Let x(j) be the third derivative of -j**4/12 + 15*j**2. Let o(l) = l + 3 - 3 - 4*l. What is x(o(n))?
6*n
Let n(o) = -7*o**2 - o**2 + 0*o**2. Let x(b) be the first derivative of -b**3 - 60. Calculate n(x(w)).
-72*w**4
Let p(u) = -6*u**2. Let g(q) = 310*q. Determine g(p(l)).
-1860*l**2
Let h(m) = -28 + 28 - 11*m. Let g(w) = -w**2. Determine g(h(r)).
-121*r**2
Let b(a) = 25*a. Let z(s) be the first derivative of s**2/2 - 4. Let w(i) = -b(i) + 30*z(i). Let d(n) = 3*n + 3*n - 4*n. Calculate d(w(q)).
10*q
Let m(d) = -5*d**2. Suppose 14 = 2*p - 4*z, 2*p + 3*z - 3 - 11 = 0. Suppose -6*r = -p*r. Let b(n) = -4*n + 5*n + r*n. What is m(b(h))?
-5*h**2
Let j(k) = 90*k + 16. Let o(n) = -n**2. Determine o(j(r)).
-8100*r**2 - 2880*r - 256
Let k(q) be the third derivative of 0 + 0*q + 0*q**3 - 1/12*q**4 - q**2. Let m(i) = 2*i**2. Determine k(m(o)).
-4*o**2
Let f(g) = -3*g + 7. Let n(u) = u - 2. Let r(s) = -4*f(s) - 14*n(s). Let b(j) = -12*j**2 + 1. Give r(b(h)).
24*h**2 - 2
Let k(a) = 9 - 9 - a + 2*a. Let x(c) = 13*c. Give x(k(z)).
13*z
Let k(i) be the first derivative of -i**4/24 + i**2/2 + 6. Let a(v) be the second derivative of k(v). Let w(x) = -x**2. Calculate a(w(r)).
r**2
Let r(l) = -8*l. Let i(p) = 157*p - 157*p + 2*p**2. Give r(i(j)).
-16*j**2
Let o(w) = w**2 - 5*w + 5. Let i(p) = -2*p + 2. Let g(b) = -5*i(b) + 2*o(b). Let y(z) = 7*z. What is y(g(m))?
14*m**2
Let u(d) be the first derivative of -9*d**2 - 4. Let k(p) = -2*p. Determine k(u(o)).
36*o
Let g be 2 + 11 + (7 - 3). Let z(v) = -g*v + 38*v - 20*v. Let u(o) = o. Give z(u(a)).
a
Let j(q) = 5*q**2. Let l(n) = -22*n**2. Give l(j(d)).
-550*d**4
Let s(f) = -4*f. Let i(o) = -3*o. Let b(n) = 7*i(n) - 6*s(n). Let j(x) = 3*x**2. Calculate b(j(w)).
9*w**2
Let z(c) be the third derivative of 0 - 1/10*c**5 + 0*c**3 + 2*c**2 + 0*c**4 + 0*c. Let h(t) = -2*t. Give z(h(m)).
-24*m**2
Let w(j) be the first derivative of 5*j**3/6 - 2*j - 5. Let b(a) be the first derivative of w(a). Let p(v) = v. Give p(b(n)).
5*n
Let j(q) = -2*q. Let f(m) = -7*m - 2. Let h(y) = 85*y + 25. Let n(a) = 25*f(a) + 2*h(a). What is n(j(p))?
10*p
Let u(v) = v - 32. Let x(y) = 5*y**2. Determine u(x(w)).
5*w**2 - 32
Let h(z) = -2*z**2. Let q(d) = -9*d. Let p(i) = -15*i. Let b(l) = 10*l. Let o(r) = -8*b(r) - 5*p(r). Let v(s) = 7*o(s) - 4*q(s). Give h(v(n)).
-2*n**2
Let g(v) be the second derivative of -43*v**3/6 + 20*v. Let j(x) = -2*x. Give j(g(q)).
86*q
Let y(r) = -3*r**2. Let m(o) = 5*o**2. Let f(d) = 4*m(d) + 7*y(d). Let c = 6 - 4. Let p(k) = -2*k**2 + 0*k**c + 4 - 4. What is f(p(n))?
-4*n**4
Let q(h) be the second derivative of 0*h**2 + 0 + 2*h + 1/6*h**4 + 0*h**3. Let z(c) = 2*c. Calculate q(z(r)).
8*r**2
Let l(t) be the first derivative of t**4/6 - t**2 + 2. Let m(c) be the second derivative of l(c). Let h(y) = -2*y**2. Calculate h(m(x)).
-32*x**2
Let w(b) = b. Let c(i) be the first derivative of i**3/3 - 6. What is w(c(q))?
q**2
Suppose -4*c = -3*c - 18. Let w(q) = 23*q**2 + 1 - c*q**2 - 1. Let t(p) = p**2. Give w(t(z)).
5*z**4
Let b(j) = 3*j - 7. Let f(r) = -2*r + 4. Let t(y) = 4*b(y) + 7*f(y). Let z(n) = -27*n. Calculate t(z(u)).
54*u
Let u(m) = 16*m**2. Let y(i) be the third derivative of i**4/12 - 6*i**2. What is y(u(x))?
32*x**2
Let y(k) = 4*k**2. Let t(s) = s + s**2 - 4*s + 3*s. Give t(y(h)).
16*h**4
Let b(d) = -d. Let c(v) = -6*v. Let u(i) = 5*b(i) - c(i). Let r be (-13)/(-3)*(-12)/(-4). Let n(s) = s + 16*s**2 - r*s**2 - s. What is u(n(f))?
3*f**2
Let n(r) = -r + 124. Let m(y) = 3*y. Determine m(n(h)).
-3*h + 372
Let b(g) = g. Suppose 3*t - 2*t - 2 = 0. Let m(i) = -6*i**2 + 7*i**2 - 5*i**t. Calculate b(m(s)).
-4*s**2
Let f(m) = m**2. Let h(b) = -14*b + 3. Let j(s) = 42*s - 8. Let l(t) = -8*h(t) - 3*j(t). What is f(l(z))?
196*z**2
Let w(f) = 9*f**2 - 48 + 48. Let d(p) = -p**2. Give w(d(g)).
9*g**4
Let a = 2 + 0. Let n(m) = -a*m - 3*m + 4*m. Let o(s) = -12*s - 8. Let h(f) = 8*f + 5. Let g(r) = 8*h(r) + 5*o(r). Calculate g(n(j)).
-4*j
Let y(j) be the third derivative of -7*j**5/60 - 53*j**2. Let u(d) = 2*d**2. Calculate u(y(v)).
98*v**4
Let s(g) = 6*g - 14. Let j(c) = c**2. Give j(s(y)).
36*y**2 - 168*y + 196
Let y(s) = 10*s**2. Let a(n) = 57*n - 1. What is a(y(g))?
570*g**2 - 1
Suppose -4*x - 22 = -3*v, 22 = 2*v - 4*x + 2. Let c(s) = 3*s**2 - s**2 - s**v. Let a(u) = -u + u - 5*u. Calculate a(c(n)).
-5*n**2
Let u(m) = 2 - 3 + 2 + 0. Let p(a) = -a - 1. Let k(r) = -p(r) - u(r). Let i(q) be the first derivative of q**2 - 2. Give i(k(g)).
2*g
Let s(n) = -4*n**2 + 5*n + 5. Let p(u) = -5*u**2 + 6*u + 6. Let r(k) = -5*p(k) + 6*s(k). Let v(c) = 6*c**2. Determine r(v(x)).
36*x**4
Let y(i) = -i**2. Let z(u) = 5*u**2 + 3*u + 3. Let o(g) = -6*g**2 - 2*g - 2. Let j(r) = -3*o(r) - 2*z(r). Determine j(y(h)).
8*h**4
Let g(s) = 384*s - 1. Let z(j) = -31*j**2. Determine g(z(o)).
-11904*o**2 - 1
Let k(j) = j**2. Let s(q) = -3*q**2. Let t(m) = -6*k(m) - 3*s(m). Let o(b) = 3*b. Calculate t(o(g)).
27*g**2
Let f(n) = -n + 2. Let z(v) = -15*v**2. Give z(f(w)).
-15*w**2 + 60*w - 60
Suppose 2*p = 2*l + 8, l = -4*p + 2*l + 4. Let i(a) be the third derivative of 0*a**3 + 1/60*a**5 + 0*a + 2*a**2 + p + 0*a**4. Let u(g) = -g. Determine i(u(f)).
f**2
Let b(s) = 9 + 5*s**2 - 15 + 6. Let x(p) = -p. Calculate x(b(c)).
-5*c**2
Let s(d) = 5*d**2. Let l(i) = 57*i. Calculate s(l(p)).
16245*p**2
Let j(h) be the first derivative of h**2/2 + 2. Suppose -110 = -3*m - 5*r, 4*m - 205 = 2*r + 3*r. Let i(b) = m*b - 45*b + b**2. What is i(j(u))?
u**2
Suppose 0*w = -4*w + 8. Let m(x) = -16 + 16 - w*x. Let i(c) be the first derivative of -c**2 + 1. Determine i(m(n)).
4*n
Let f(u) = 100*u - 100*u - 2*u**2. Let p(c) = 2*c. Give f(p(k)).
-8*k**2
Let c(l) = l. Let y(n) = n - 3*n**2 - n. Calculate y(c(k)).
-3*k**2
Let k(t) = -3*t**2. Let m(q) = 2*q**2 - 4*q**2 - 3*q**2. Give k(m(a)).
-75*a**4
Let l(f) = f. Let k(o) be the third derivative of 7*o**4/24 - 9*o**2. What is l(k(i))?
7*i
Let y(a) = -38*a**2. Let t(g) = -6*g**2. Calculate y(t(c)).
-1368*c**4
Let x(w) be the first derivative of -w**4/8 - w**2/2 + 2. Let j(p) be the second derivative of x(p). Let b(v) = -4*v**2. Calcula