448*f**4 + 1
Let y(j) = -2*j**2. Let x(b) be the second derivative of -b**4/12 - 3*b. Let m(n) = 16*n**2. Let c(r) = 2*m(r) + 36*x(r). Determine y(c(u)).
-32*u**4
Let r(i) be the third derivative of i**8/4032 - i**5/60 + 8*i**2. Let d(j) be the third derivative of r(j). Let b(v) = v. Calculate b(d(k)).
5*k**2
Suppose -n - 4*k - 6 = -19, 4*k = -5*n + 1. Let s(w) = -w**3 - 3*w**2 - w - 1. Let d be s(n). Let b(l) = l + d*l - 5*l. Let x(v) = 2*v. Determine x(b(g)).
-4*g
Let s(b) = b**3 + 4*b**2 - b - 2. Let w be s(-4). Let h(q) = -2 + w + 2*q. Let a(i) = 4*i + 5. Let x(l) = -2*l - 2. Let r(y) = 2*a(y) + 5*x(y). Give r(h(u)).
-4*u
Let m(b) = -2*b. Let k(z) be the first derivative of -3*z**3 + 2*z**2 - 1 - 2*z**2 - 6. What is m(k(w))?
18*w**2
Let d(k) = 3*k - k + 0*k. Let g(j) = -8*j**2. Give g(d(p)).
-32*p**2
Let t(h) = 2*h**2. Let w(s) be the first derivative of -s**5/60 - 5*s**2/2 + 3. Let q(x) be the second derivative of w(x). Calculate q(t(r)).
-4*r**4
Let f(n) be the third derivative of n**5/30 - n**2. Let a(j) be the third derivative of -j**4/12 - j**2. Determine f(a(v)).
8*v**2
Let t(a) = -54*a - 10. Let p(b) = -18*b - 3. Let s(q) = -20*p(q) + 6*t(q). Let r(k) = -k**2. Determine s(r(j)).
-36*j**2
Let q(c) = -21*c**2. Let h(r) = -r - 9. Give h(q(y)).
21*y**2 - 9
Let g(k) = -2 - 7*k**2 + 2. Let t(w) be the second derivative of w**3/3 - 4*w. Calculate t(g(x)).
-14*x**2
Let j(u) = 3*u - 5*u + u. Let o(q) = -4*q - 3. Let f(s) = s + 1. Let t(d) = 3*f(d) + o(d). Give j(t(p)).
p
Let b be 7 - (5 - (4 - 3)). Let l(o) be the second derivative of 0*o**2 - o + 0*o**b + 1/6*o**4 + 0. Let c(t) = t**2. Determine l(c(h)).
2*h**4
Let p(d) = 3*d. Let x(l) = 0 + l + 0. Calculate p(x(s)).
3*s
Let c(j) = -2*j**2 + 7*j + 7. Let t be (-1 - 10/(-4))*2. Let q(s) = s**2 - 3*s - 3. Let o(f) = t*c(f) + 7*q(f). Let g(l) = l**2. Calculate g(o(r)).
r**4
Let z(q) be the first derivative of q**3 + 3. Let h(b) be the second derivative of -b**3/2 + 11*b. What is z(h(w))?
27*w**2
Let r(q) = -2*q. Suppose 0 = -2*o - 2*o. Suppose -2*x + 10 - 4 = o. Let s(w) = -4 + 4 - x*w. What is s(r(z))?
6*z
Let o(k) be the third derivative of -k**5/15 + 7*k**2. Let h(m) = 17*m + 11. Let r(g) = 6*g + 4. Let v(n) = -4*h(n) + 11*r(n). Calculate o(v(p)).
-16*p**2
Let f(k) = -k**2. Let v(c) = -1034*c. Calculate f(v(y)).
-1069156*y**2
Let g(k) = 923*k. Let d(w) = -5*w**2. Determine d(g(b)).
-4259645*b**2
Let x(q) = 17*q - 27. Let a(v) = 4*v**2. Give x(a(u)).
68*u**2 - 27
Let c(u) = -60*u - 7*u**2 + 60*u. Let o(n) = n**2. What is o(c(w))?
49*w**4
Let g(t) = -t**2. Let u(b) be the third derivative of 19*b**5/60 + b**2. Calculate u(g(d)).
19*d**4
Let j(v) = 2*v + 6. Let r(g) = -g - 1. Suppose 3*z + 9 = -9. Let x(o) = z*r(o) - j(o). Let w(l) = 2*l**2. What is x(w(d))?
8*d**2
Let z(p) = -4*p**2 - 17. Let i(k) = 212*k**2. Calculate i(z(j)).
3392*j**4 + 28832*j**2 + 61268
Let f(j) = 7*j**2. Let q(v) = v**2 - 51*v. Determine q(f(w)).
49*w**4 - 357*w**2
Let p(c) = -3*c. Let l(z) = -21*z - 7. Let m(x) = 11*x + 4. Let o(f) = -4*l(f) - 7*m(f). Calculate p(o(y)).
-21*y
Let n(d) = -3*d**2. Let c(w) = w**3 - 5*w**2 + 2*w - 8. Let j be c(5). Let q(s) = 2 - 2*s - j + 0. What is q(n(u))?
6*u**2
Let l(m) = 4*m**2. Let b(o) = -3*o**2 - 6*o + 6. Let c(n) = 6*n**2 + 13*n - 13. Let t(j) = -13*b(j) - 6*c(j). Calculate l(t(x)).
36*x**4
Let k(m) = 3*m**2 - 2*m. Let z(y) = y**2 - y. Let b(f) = -2*k(f) + 4*z(f). Let n(j) be the third derivative of j**4/4 - 2*j**2. Calculate b(n(r)).
-72*r**2
Let h(x) = -4*x**2. Let r(z) = -16*z**2. Give r(h(w)).
-256*w**4
Let a(z) = z. Let t(q) = -21*q**2 + 4*q. Determine t(a(j)).
-21*j**2 + 4*j
Let j(s) = -3*s. Let k(x) = 246*x. Calculate j(k(w)).
-738*w
Let z(k) = -24*k**2 - 13*k. Let o(s) = s. Determine o(z(j)).
-24*j**2 - 13*j
Let j(f) be the second derivative of 5/12*f**4 + 0 - f + 0*f**3 + 0*f**2. Let q(g) = g. Determine j(q(m)).
5*m**2
Let o(z) = -200*z. Let a(n) = -2*n**2. Give o(a(w)).
400*w**2
Let u(l) = l. Let a(x) = -154*x - 6. Calculate a(u(g)).
-154*g - 6
Let s(i) be the third derivative of -i**5/60 + 9*i**2. Let t(a) = 0*a - 4*a + 2*a. What is t(s(g))?
2*g**2
Let u(q) = -17*q. Let k(x) = 4 - 4 - 43*x**2 + 44*x**2. Give k(u(s)).
289*s**2
Suppose 0 = -o + 4*o - 12. Let i(a) = 0 - o*a - 1 + 1. Let b(r) = 5*r**2 - 3*r**2 + 0*r**2. What is b(i(k))?
32*k**2
Let f(s) = 2*s. Suppose -4*n - 6*n = -n. Let m(g) be the third derivative of 0*g**3 - 4*g**2 + n*g**4 + 1/60*g**5 + 0 + 0*g. Give m(f(i)).
4*i**2
Let n(a) = 12*a - 8. Let r(d) = d - 1. Let v(u) = n(u) - 8*r(u). Let m(i) = i**2 - 4*i - 2. Let x(z) = -6*z - 3. Let f(p) = -3*m(p) + 2*x(p). Calculate f(v(o)).
-48*o**2
Let c = 8 + -2. Let b(v) = c*v - 14*v + 10*v. Let i(p) = -10*p. Give i(b(x)).
-20*x
Let c(p) = -7*p**2 + 5*p. Let k(o) = -11*o**2 + 8*o. Let u(x) = 8*c(x) - 5*k(x). Let b = -3 + 5. Let w(g) = 3*g**2 - b*g**2 - 2*g**2. What is u(w(d))?
-d**4
Let b(r) = -3*r. Let m(w) = 60*w**2. Determine m(b(k)).
540*k**2
Let b(j) be the first derivative of -19*j**2/2 + 6. Let r(n) = -3*n. Determine r(b(g)).
57*g
Let u(g) be the second derivative of -g**4/6 + 4*g. Let o(c) be the first derivative of 2*c**3 - 7. What is o(u(y))?
24*y**4
Let d(q) = 2*q**2. Let g(x) = -x**3 + 2*x**2 + 3*x + 3. Let z be g(3). Let k(f) = -f - 2*f - 3*f**2 + z*f. What is k(d(h))?
-12*h**4
Let p(v) = 13*v + 9. Let f(j) = 3*j + 2. Let b(t) = -18*f(t) + 4*p(t). Let k(m) = -4 + 2*m + 4. Give b(k(r)).
-4*r
Let m(i) = -3*i. Let q(g) be the second derivative of g**3/6 - 32*g. Calculate q(m(l)).
-3*l
Let s(x) be the third derivative of -x**5/60 - 22*x**2 + 2. Let n(k) = 2*k**2 - 3*k. Let m(c) = 11*c**2 - 17*c. Let q(a) = -6*m(a) + 34*n(a). Determine q(s(l)).
2*l**4
Let p(h) be the first derivative of 0*h**2 - 1/3*h**3 - 4 + 0*h. Let o(d) be the second derivative of d**3 - d. What is p(o(j))?
-36*j**2
Let m(q) = 3*q**2. Let n(a) = 7*a + 3. Let w(s) = -4*s - 1. Let j(h) = -3*n(h) - 5*w(h). Let x(k) = -3*k - 11. Let d(l) = 11*j(l) - 4*x(l). Determine m(d(f)).
3*f**2
Let t(u) = -7*u + 4. Let l(h) = 10*h - 6. Let r(w) = 5*l(w) + 8*t(w). Let p(o) = o. Calculate r(p(d)).
-6*d + 2
Let d(b) = -503*b - 2. Let h(o) = -o. Give d(h(s)).
503*s - 2
Let r(g) = g. Let v(n) = -7*n**2 + 2. Give r(v(m)).
-7*m**2 + 2
Let g(z) = -z. Let d(v) = 288*v. What is g(d(a))?
-288*a
Let i(k) = -5*k - 11. Let m(j) = j + 2. Let x(q) = -2*i(q) - 11*m(q). Let l(c) = -2*c**2 + c**2 - 4*c**2. What is l(x(p))?
-5*p**2
Let p(b) = -2*b**2. Let j(w) = w**3 + 6*w**2 - 8*w - 7. Let f = -20 - -13. Let i be j(f). Let r(x) = -6 - 3*x + i*x + 6. Determine p(r(q)).
-18*q**2
Let w(b) = -4*b - 8. Let g(a) = 5*a**2. Calculate w(g(v)).
-20*v**2 - 8
Suppose -c + 3*c + k = 5, 2*k + 11 = 3*c. Let o(g) = c*g - g + g - 2*g. Let j(h) = h**2. Determine o(j(a)).
a**2
Let h(i) = 2*i - 7*i + 2*i + 0*i. Let s(u) be the third derivative of u**4/6 + 2*u**2. Determine s(h(k)).
-12*k
Let a(g) = -2*g. Let j(s) = 159*s + 106. Let x(b) = b + 1. Let n(m) = j(m) - 106*x(m). Give n(a(c)).
-106*c
Let i(j) = 16*j**2. Let d(u) = 242*u**2. Give i(d(q)).
937024*q**4
Let q(f) = 3*f - 20*f + 3*f + 10*f. Let l(a) = 16*a**2. Determine l(q(k)).
256*k**2
Let f(g) = 2*g - 4. Let u(m) = 40*m + 3. What is f(u(k))?
80*k + 2
Let q(x) = -210*x**2. Let t(m) = -m. Give q(t(w)).
-210*w**2
Let n(p) = 605*p - 6. Let k(b) = b. Give k(n(s)).
605*s - 6
Let j(a) = 3*a + 0*a - 8*a. Let l(r) = -9*r**2. What is l(j(q))?
-225*q**2
Let o(j) = j. Let r(q) = -48*q**2. What is r(o(g))?
-48*g**2
Let f(d) = -7*d**2. Let c(a) = -182*a**2. Give c(f(o)).
-8918*o**4
Let t(s) = 218*s. Let w(c) = -4*c**2. Calculate t(w(k)).
-872*k**2
Let m(a) = 3*a. Let v(h) = -2*h - 9. Let u be (-1 - -2)/((-10)/40). Let d(i) = i + 4. Let r(t) = u*v(t) - 9*d(t). Calculate m(r(s)).
-3*s
Let h(i) = 3*i**2 + 14*i**2 - 6*i**2. Let y(g) be the third derivative of g**4/12 + g**2. Determine h(y(s)).
44*s**2
Let r(w) = 3*w**2 - 3*w**2 + 0*w**2 + 2*w**2. Let x(f) be the first derivative of f**2 - 1. What is x(r(s))?
4*s**2
Let k(g) = -3*g**2. Let b(m) = 3*m**2. Let t(z) = -7*z**2. Let i(s) = 5*b(s) + 2*t(s). Calculate i(k(c)).
9*c**4
Let t(h) = -10*h**2 + 11*h. Let u(o) = o**2 - o. Let y(x) = -2*t(x) - 22*u(x). Let v(b) = b. Let g(w) = -4*w. Let s(p) = g(p) - 4*v(p). Give s(y(a)).
16*a**2
Let y(b) be th