- 4. Let g(f) be the first derivative of t(f). Give v(g(d)).
-512*d**2
Let d(c) = -3*c. Let b(k) = -k + 1. Let f(p) = -3*p + 2. Let x(s) = -10*b(s) + 5*f(s). Determine x(d(u)).
15*u
Let q(w) = -19*w**2. Let n(g) = -17*g**2. Give q(n(h)).
-5491*h**4
Let a(k) = -2*k + 3 - 3. Let d(s) be the first derivative of -1 + 0*s**2 + 1/3*s**3 + 0*s. What is a(d(z))?
-2*z**2
Let o(p) = -2*p. Let z(j) be the second derivative of 3/2*j**3 + 0 - 5*j + 0*j**2. What is z(o(w))?
-18*w
Let q(z) = -2*z + 6. Let h(f) = -2*f + 5. Let a(x) = -6*h(x) + 5*q(x). Let t(s) = 3*s**2. Give a(t(m)).
6*m**2
Let z(n) = n. Let q be 0*3*3/9. Let x(l) be the second derivative of 0 + q*l**2 + 1/6*l**3 - 2*l. What is x(z(i))?
i
Let h(g) = -2*g**2. Let c(x) be the third derivative of x**5/20 + 17*x**2. Calculate c(h(n)).
12*n**4
Let b(g) = -g. Let l(n) = -6*n - 1. Give l(b(s)).
6*s - 1
Let v(g) = 3*g. Let j(t) = -17*t**2 - 24*t. Calculate v(j(n)).
-51*n**2 - 72*n
Let j(d) = -2*d. Let y(l) = -9*l**2 + 7*l + 7. Let w(t) = 5*t**2 - 4*t - 4. Let v(z) = -7*w(z) - 4*y(z). Calculate j(v(n)).
-2*n**2
Let d(g) = 1544*g**2. Let p(q) = 6*q. Determine d(p(s)).
55584*s**2
Let n(y) = 16*y. Let r(q) be the third derivative of q**4/12 + 2*q**2. Give n(r(g)).
32*g
Let a(w) = -8*w - 14. Suppose -11 = 3*f + 4. Let h(x) = -3*x - 5. Let q = 6 + 8. Let y(j) = f*a(j) + q*h(j). Let u(b) = -b. Determine y(u(g)).
2*g
Let l(d) = 26*d**2 - 8*d - 8. Let p(m) = 9*m**2 - 3*m - 3. Let n = -29 - -21. Let o(u) = n*p(u) + 3*l(u). Let a(f) = -f**2. Determine o(a(g)).
6*g**4
Let o(i) = 12*i**2 + 21. Let g(v) = -3*v**2 - 5. Let a(y) = 21*g(y) + 5*o(y). Let r(d) = 2*d**2. Determine a(r(h)).
-12*h**4
Let h(a) = -2*a. Let p(r) = 6*r**2 + 3. Let k(s) = 5*s**2 + 2. Let b(v) = -3*k(v) + 2*p(v). Calculate b(h(l)).
-12*l**2
Let n(h) = -87*h. Let p(a) = 73*a. Determine n(p(g)).
-6351*g
Let q(c) = c. Let t(m) be the third derivative of -11*m**8/20160 + m**5/15 + 3*m**2. Let f(x) be the third derivative of t(x). What is q(f(a))?
-11*a**2
Let i(y) = -9*y. Let f(v) = -14*v. Let l(z) = 5*f(z) - 8*i(z). Let o(c) = 5*c. What is l(o(g))?
10*g
Let r(y) = -3*y. Let w(c) = -c + 2. Let z(x) = 2*x - 5. Let v(s) = 10*w(s) + 4*z(s). Calculate r(v(a)).
6*a
Let w(x) = -4*x**2. Let q(h) = -h. Calculate w(q(l)).
-4*l**2
Let r(u) = 2*u. Let z(g) = -g**3 + 4*g**2 - g - 4. Let a be z(3). Let i(b) = 0*b + 11*b**2 + 0*b - 6*b**a. What is r(i(o))?
10*o**2
Let t(h) = -2*h. Let c(i) = i + 1. Let d(g) = 25*g + 6. Let b(p) = -6*c(p) + d(p). Give t(b(j)).
-38*j
Let l(k) = -3*k**2. Let n(y) be the third derivative of -y**4/6 + 7*y**2. Calculate n(l(t)).
12*t**2
Let u(z) be the second derivative of z**4/24 + 7*z**2/2 + z. Let c(w) be the first derivative of u(w). Let f(v) = 5*v**2. Determine f(c(o)).
5*o**2
Let s(x) be the second derivative of -x**3/2 - 45*x. Let y(t) = 25*t**2. Calculate y(s(v)).
225*v**2
Let v(r) = -14*r**2 + 12*r - 12. Let t(o) = 13*o**2 - 10*o + 10. Let a(m) = -6*t(m) - 5*v(m). Let d(p) be the second derivative of -p**4/12 - p. Give d(a(f)).
-64*f**4
Suppose 0 = -2*z + 6*z - 28. Let h(m) = 4*m**2 + z*m - 7*m - 2*m**2. Let c(n) = -4*n**2 + 5*n**2 - 8*n**2. Calculate h(c(w)).
98*w**4
Let q(c) = -2*c**2. Suppose 6*u - u = 0. Let t(d) be the third derivative of 0*d + 0 + 0*d**4 - d**2 - 1/30*d**5 + u*d**3. Calculate q(t(r)).
-8*r**4
Let j = -4 - -4. Suppose -6*g + g - 15 = j. Let t(o) = -4*o - 3. Let r(y) = -5*y - 4. Let p(k) = g*r(k) + 4*t(k). Let h(x) = 3*x**2. Calculate p(h(w)).
-3*w**2
Let v(x) be the second derivative of 0*x**2 + 1/6*x**3 + 0 + 3*x. Let w(d) = -4*d + 14. Let l(j) = -j + 3. Let a(u) = 14*l(u) - 3*w(u). Give a(v(g)).
-2*g
Let b(v) = 2*v**2. Let y(k) = 52*k**2 - 3*k. Give b(y(h)).
5408*h**4 - 624*h**3 + 18*h**2
Let v(l) = 3*l. Let a(x) = 2*x + 348. Calculate v(a(o)).
6*o + 1044
Let v(y) = 23*y**2 + 4. Let x(j) = 23*j**2 + 3. Let s(o) = -3*v(o) + 4*x(o). Let f(l) = -l**2. Determine s(f(h)).
23*h**4
Let s(r) = 11*r**2 - 3*r. Let x(z) = 3*z. Determine x(s(l)).
33*l**2 - 9*l
Let t(g) = 14*g. Let q(i) be the third derivative of -i**5/60 + i**3/2 + 5*i**2. Let m(x) be the first derivative of q(x). Determine t(m(s)).
-28*s
Let v(j) = 15*j + 4. Let f(m) = -31*m - 9. Suppose 3*i + 22 = -2*c, -8*c = 3*i - 3*c + 37. Let n(r) = i*f(r) - 9*v(r). Let q(z) = -2*z**2. Calculate n(q(p)).
22*p**2
Let v(l) = 2*l**2 + 3*l + 3. Let u(d) = 5*d**2 + 7*d + 7. Let t(x) = -3*u(x) + 7*v(x). Let n(b) be the first derivative of -b**2/2 - 2. What is n(t(h))?
h**2
Let v(c) = 1034 - 518 + 3*c - 516. Let i(w) be the second derivative of w**3/3 - w. Give v(i(b)).
6*b
Let g(t) = -10*t**2 - 6. Let n(x) = -2*x**2 - 7*x**2 - 8 + 3. Let u(h) = 5*g(h) - 6*n(h). Let k(j) = 2*j**2 + 1 - 7 + 6. Give u(k(a)).
16*a**4
Let v(s) = -2*s. Let b be 20/3 - 10/15. Suppose t - 6*t = -5, b = q + t. Let l(f) = -2 + 2 - q*f. Give l(v(r)).
10*r
Let o(i) = -2*i**2. Let w(p) be the first derivative of -p**2/2 + 8. Determine w(o(s)).
2*s**2
Let a(g) = 2*g. Let k be 56/35 + (-2)/(-5). Let y(v) = -k*v**2 - 45*v + 45*v. Give y(a(t)).
-8*t**2
Let b(x) = x - 2. Let t(d) = 12*d - 27. Suppose -46 = h - 15. Let z = h - -4. Let w(u) = z*b(u) + 2*t(u). Let y(o) = -o. Give y(w(q)).
3*q
Let z(x) = x**2. Let p = 17 + -17. Let v(o) be the second derivative of 0 + 0*o**2 - 1/4*o**4 + p*o**3 + o. Calculate v(z(s)).
-3*s**4
Let o(r) = r. Let z(j) = -69*j**2 - 2*j. Let p(l) = -69*l**2 - 3*l. Let u(g) = 2*p(g) - 3*z(g). Give u(o(i)).
69*i**2
Let c(h) = -2*h - 87 + 87. Let d(i) = -7*i. What is c(d(l))?
14*l
Let t(s) be the third derivative of 6*s**2 + 0*s**3 + 0*s + 1/15*s**5 + 0*s**4 + 0. Let d(u) = -u**2. Give t(d(w)).
4*w**4
Let l(h) be the third derivative of 2*h**5/15 + 2*h**2 - 1. Let z(v) = 2*v**2. What is l(z(b))?
32*b**4
Let x(y) = -26*y**2. Let l(j) = -15*j. Calculate x(l(m)).
-5850*m**2
Let z(l) = 745*l - 2. Let a(m) = -m. Give a(z(r)).
-745*r + 2
Let q(z) = -7*z. Let f(a) be the first derivative of a**3/6 - 3*a - 3. Let c(r) be the first derivative of f(r). Give q(c(l)).
-7*l
Let j(q) = 2*q. Let f(x) = x. Let n(k) = 3*f(k) - j(k). Let o(d) = -2*d**2 + 11. What is n(o(l))?
-2*l**2 + 11
Let k(p) = 2*p**2. Let f(q) = -q**2 + q. Let m(h) be the third derivative of -h**5/12 + h**4/6 + 4*h**2. Let s(c) = -4*f(c) + m(c). Calculate k(s(n)).
2*n**4
Let j(m) = -4*m - 77. Let o(b) = -2*b**2. Determine j(o(l)).
8*l**2 - 77
Let g(j) = -2*j**2. Let b(v) = -2*v**2 - 78. Calculate b(g(m)).
-8*m**4 - 78
Let g(f) be the second derivative of -4*f**3/3 + 15*f - 2. Let h(t) = -6*t. Calculate g(h(w)).
48*w
Let r = -6 + 23. Let f(n) = -r*n + 7*n + 11*n. Let w(y) = -4*y. Give w(f(j)).
-4*j
Let d(n) be the second derivative of n**4/4 - 2*n. Let a(r) = -4*r + 5*r + 2*r - 4*r. Calculate d(a(j)).
3*j**2
Let l(o) = 0*o**2 - o**2 + 8*o**2 - 5*o**2. Let j(m) = -m**3 + 2*m**2 + 3*m + 2. Let w be j(3). Let c(d) = 0*d - d**w + 0*d. Determine l(c(s)).
2*s**4
Let b(y) = 2*y + 11. Let u(i) = -i - 6. Let k(l) = 6*b(l) + 11*u(l). Let s(j) be the first derivative of -4*j**3/3 - 6. What is k(s(v))?
-4*v**2
Let x(f) = -22 + 2*f + 22. Let h(u) be the second derivative of u**6/360 - u**3/6 - u. Let g(o) be the second derivative of h(o). Calculate x(g(l)).
2*l**2
Let u(r) = -2*r**2 - 3*r. Let b(o) = 1. Let z(i) = i + 6. Let x(s) = -6*b(s) + z(s). Determine u(x(t)).
-2*t**2 - 3*t
Let v(p) = -16*p - 2. Let m(a) = 2*a. Give m(v(y)).
-32*y - 4
Let w(k) = k + 2*k - 3*k - k**2. Let t(s) be the first derivative of -s**2/2 + 1. What is t(w(g))?
g**2
Let c be 39/12 - 6/(-8). Let n(j) = -c*j**2 + j**2 + j**2 + 5*j**2. Let g(x) be the second derivative of -x**4/12 + 2*x. Determine n(g(f)).
3*f**4
Let y(p) be the third derivative of -23*p**5/60 - 10*p**2. Let q(n) = -2*n**2. Determine q(y(o)).
-1058*o**4
Let f(b) = -586*b**2. Let o(z) = 5*z**2. Determine f(o(k)).
-14650*k**4
Let w(g) = -g. Let y(b) = b. Let m(r) = 10*r. Let t(a) = -m(a) + 6*y(a). What is t(w(n))?
4*n
Let n(p) = p. Let w(k) = -32*k. Let j(i) = 24*n(i) + w(i). Let l(d) be the third derivative of -d**5/30 + 47*d**2 + 2*d. Give l(j(g)).
-128*g**2
Let b(v) = 4*v**2 - v**2 - 2*v**2. Suppose -6*c + 25 = -5. Let h(r) = -r**2 + 2*r**2 - 5*r**2 + c*r**2. Calculate h(b(f)).
f**4
Let t(y) = -312*y. Let g(d) = -d**2. What is t(g(f))?
312*f**2
Let r(u) = 2*u**2 + 7. Let k be 10*-1 + 2 + 1.