- 2. Let u(n) = k*g(n) + 2*j(n). Let d(a) = -a**2. Determine d(u(p)).
-p**2
Let n(c) = 11*c**2 + 2*c. Let g(o) be the second derivative of -o**4/12 + o - 8. Determine n(g(v)).
11*v**4 - 2*v**2
Let w(r) = r**2. Let o(g) = -2 + 1 - 3*g**2 + 1. Calculate w(o(j)).
9*j**4
Let d(y) be the second derivative of -y**4/12 - 18*y. Let g(t) be the third derivative of 5*t**4/24 + 2*t**2. What is g(d(p))?
-5*p**2
Let y(v) be the third derivative of -3*v**5/20 + 17*v**2. Let o(w) = -3*w**2. Give o(y(g)).
-243*g**4
Let r(k) be the third derivative of -k**4/4 + 7*k**3/6 + 7*k**2. Let y(g) = -4*g + 5. Let q(t) = 5*r(t) - 7*y(t). Let f(p) = 17*p**2. Calculate f(q(i)).
68*i**2
Let p(j) = -7*j**2 + 2*j - 2. Let b(x) = -22*x**2 + 7*x - 7. Let v(n) = -2*b(n) + 7*p(n). Let z(s) = -2*s**2. Calculate v(z(m)).
-20*m**4
Let t(n) = 2*n + 5. Let z(o) be the first derivative of -o**3/3 - 74. Determine t(z(s)).
-2*s**2 + 5
Let n(z) be the third derivative of z**5/30 - z**2. Let c(m) = 3*m**2 + 2*m - 2. Let t(r) = -7*r**2 - 5*r + 5. Let u(j) = 5*c(j) + 2*t(j). Give n(u(g)).
2*g**4
Let q(w) be the first derivative of -w**2/2 - 2. Let f(n) = -5*n + 4 - 4*n + 5*n - 11. Let i(z) = z + 2. Let a(b) = -2*f(b) - 7*i(b). What is a(q(r))?
-r
Let t(u) = -u**2. Let p(q) = 7*q**2 - 1. Let c be p(1). Let h(v) = c*v + 2*v - 8*v - 2*v. Calculate t(h(l)).
-4*l**2
Let k(s) = 16*s**2. Let j(t) = t. What is k(j(c))?
16*c**2
Let r(q) = -28*q. Let m(b) = -2*b. Determine r(m(t)).
56*t
Let p(b) = 10*b. Let s(u) = -54*u**2 - 1. Determine p(s(t)).
-540*t**2 - 10
Let x(l) be the first derivative of -4*l**3/3 + 10. Let k(a) = 7*a**2. Give x(k(r)).
-196*r**4
Let s(j) = 29*j. Let k(w) = -1 + 1 - 2*w + 0*w. Give s(k(b)).
-58*b
Let n = -20 - -23. Let z(o) be the second derivative of 0 + 1/3*o**n + 0*o**2 - 2*o. Let w(k) = -4*k. Give z(w(f)).
-8*f
Let a(o) = -32*o**2. Let d(t) = -74*t**2. Calculate d(a(z)).
-75776*z**4
Let s(j) be the first derivative of 0*j - 1/2*j**2 - 6. Let h(f) = f**2. Calculate h(s(i)).
i**2
Let k(o) = -1416*o**2. Let i(l) = -9*l. Determine k(i(g)).
-114696*g**2
Let p(g) be the third derivative of -g**4/12 - 5*g**2. Let u(w) = -18*w. Give p(u(x)).
36*x
Let v(s) = -7*s + 7*s + 8*s**2 + 0*s. Let w(z) = 3*z**2 - 2*z + 2. Let t(j) = 10*j**2 - 7*j + 7. Let h(o) = 2*t(o) - 7*w(o). What is h(v(a))?
-64*a**4
Let r(k) = 26*k + 1. Let p(d) = -d + 36. Calculate p(r(f)).
-26*f + 35
Let a(t) = -4*t**2 + 1 - 1. Let b(s) = 0*s - 3*s + 2*s. What is b(a(n))?
4*n**2
Let m(w) = -w. Let q(n) = -5*n - 28. Calculate m(q(x)).
5*x + 28
Let l(o) = 21*o. Let z(p) = -5*p**2. Determine l(z(r)).
-105*r**2
Let r(o) be the first derivative of 0*o - 1/2*o**2 - 1. Let q(h) = h**2. What is q(r(d))?
d**2
Let j(x) = x**2. Let o(y) be the third derivative of 0*y**3 + 0 - 6*y**2 + 0*y**4 + 1/12*y**5 + 0*y. Determine j(o(b)).
25*b**4
Let h(k) = k**2. Let d(p) be the first derivative of p**4/4 - 3*p - 5. Let v(m) be the first derivative of d(m). What is v(h(b))?
3*b**4
Let l(z) = -4*z**2. Let c(p) be the second derivative of p**4/12 + p. Calculate c(l(s)).
16*s**4
Let r(t) = -4*t. Suppose 3*a - 41 + 14 = 0. Let u(c) = 0*c**2 + 2*c**2 - a*c**2 + 4*c**2. Determine r(u(m)).
12*m**2
Let t(w) = 3*w. Let u(a) = 6*a - 42. Determine u(t(n)).
18*n - 42
Let m(t) = -8659*t**2. Let f(g) = 2*g. Calculate m(f(s)).
-34636*s**2
Let l(i) = -7*i + 5. Let c(u) = 70*u - 49. Let k(j) = -5*c(j) - 49*l(j). Let v(z) = -z**2. Determine k(v(p)).
7*p**2
Let f(k) be the second derivative of -k**3/6 - 2*k. Suppose -3*t = -0*t. Let g(a) = a + t*a - 6*a + 4*a. Calculate f(g(b)).
b
Let s(i) = -2*i. Let j(q) = -274*q**2. What is s(j(h))?
548*h**2
Let v(u) = -112*u. Let q(d) = 2*d**2. Give v(q(o)).
-224*o**2
Let a(p) = 9*p + 199. Let c(r) = 2*r**2. Give a(c(u)).
18*u**2 + 199
Let d(n) = -8*n**2. Let i(a) = 143*a. Determine d(i(k)).
-163592*k**2
Let s(c) = 2*c. Let x(n) be the first derivative of -n**5/24 + n**3 - 3. Let l(i) be the third derivative of x(i). Calculate s(l(f)).
-10*f
Let d(p) = -90*p. Let b(o) = 17*o. Calculate b(d(h)).
-1530*h
Let z(h) = -4*h. Let s(d) = 11*d + 10*d - 20*d. Give z(s(m)).
-4*m
Let b(r) be the third derivative of 5*r**4/12 - 3*r**2. Let f(v) = 3*v. Calculate b(f(k)).
30*k
Let c(x) = -2*x. Let a(q) = -18*q**2 + 3*q. Let r(h) = -125*h**2 + 20*h. Let k(o) = 20*a(o) - 3*r(o). Determine c(k(j)).
-30*j**2
Let w(s) = -323*s - 2. Let y(u) = 3*u**2. Give w(y(r)).
-969*r**2 - 2
Let o(f) be the second derivative of 0 - 3/2*f**3 - 3*f + 0*f**2. Let k(w) = -w**2. Determine k(o(t)).
-81*t**2
Let n(k) = -k. Let p(i) = -i**3 - 6*i**2 - 4*i + 5. Let b be p(-5). Let s(t) = 0*t - t**2 + b*t. Give n(s(a)).
a**2
Let d(h) = -h. Let w(z) = -32*z - 3. Calculate w(d(r)).
32*r - 3
Let g(h) = -h**2. Suppose -3*x + 4*v = 2*x - 15, 5*v = -3*x + 9. Let j(b) = 10*b - 5*b - b - x*b. Determine j(g(w)).
-w**2
Suppose 0 = 4*v - 9 + 1. Let r(s) = -s + s - v*s. Let n(i) = 5*i. Let u(z) = 26*z. Let l(w) = -11*n(w) + 2*u(w). Determine r(l(p)).
6*p
Let y(g) = -3*g**2. Let n(o) be the first derivative of 2*o**3/3 + 5. Determine n(y(t)).
18*t**4
Let q(k) = 2*k. Let o(z) = -35*z - 2*z**2 + 35*z. Give o(q(c)).
-8*c**2
Let f(k) = -353*k**2 + k. Let y(n) = n. Determine f(y(g)).
-353*g**2 + g
Let i(j) = -10*j. Let h(n) = -3*n**2. Calculate h(i(u)).
-300*u**2
Let v(d) = -d**2 + 3*d - 3. Let x(y) = -8*y + 4*y**2 - 1 - 2*y**2 + 9. Suppose 15 = 5*w - 0. Let j(t) = w*x(t) + 8*v(t). Let z(s) = -2*s**2. Determine j(z(c)).
-8*c**4
Let z(n) = 56*n**2 - 1. Let g(r) = 11*r. Determine z(g(u)).
6776*u**2 - 1
Let k(b) = -b. Let v(g) = -g**3 - 8*g**2 - 8*g + 5. Let h be v(-7). Suppose -h = -5*l - 2. Let x(o) = 6*o**l - 2*o**2 + o**2. What is k(x(t))?
-5*t**2
Let c(l) be the third derivative of -l**5/30 + l**2. Let h(s) = -s**2 + 39*s - 39*s. What is c(h(u))?
-2*u**4
Let z(f) = -5*f. Let c(a) = 9449*a**2. Give c(z(y)).
236225*y**2
Let s(f) = 34*f**2. Let p(a) be the second derivative of a**4/12 + 29*a. Determine s(p(l)).
34*l**4
Let j(a) = -3*a. Let h(k) = 2*k**2 + 42. What is j(h(c))?
-6*c**2 - 126
Let i(s) = -3*s**2 - 4*s. Let l(z) = z. Let j = 0 - 2. Let n be (-1)/j + (-1)/(-2). Let a(h) = n*i(h) + 4*l(h). Let d(f) = -f. What is a(d(q))?
-3*q**2
Let m = -12 - -13. Let k(d) = d - 1. Let t(r) = -5*r**2 - r + 1. Let h(q) = m*k(q) + t(q). Let b(v) = 0*v + 2*v**2 + 0*v. Determine h(b(z)).
-20*z**4
Let j(q) be the second derivative of q + 0*q**2 - 1/6*q**3 + 0. Let i(b) be the third derivative of b**5/30 + 2*b**2 + 96. What is i(j(n))?
2*n**2
Let k(o) = 3*o**2 + 9*o - 8*o - o. Let c(q) = -2*q**2. What is k(c(w))?
12*w**4
Let c(p) = -2*p**2. Let l(z) = -333*z**2 + 72. Let i(f) = 23*f**2 - 5. Let d(j) = -9*j**3. Let g be d(2). Let b(v) = g*i(v) - 5*l(v). What is b(c(k))?
36*k**4
Let t(z) = -z - 95. Let w(m) = -2*m**2. Calculate w(t(d)).
-2*d**2 - 380*d - 18050
Let q(w) = -2*w. Let m(i) = -9*i**2 - 4*i - 4. Let p(n) = -8*n**2 - 3*n - 3. Let z(d) = -3*m(d) + 4*p(d). Calculate z(q(g)).
-20*g**2
Let u(a) = -a. Let s(r) = 13*r + 176. What is u(s(z))?
-13*z - 176
Let l(x) = 13*x. Let o(a) = -6*a + 4*a + 3*a. Calculate l(o(z)).
13*z
Let l(q) = -2*q + 5*q - 4*q. Let y(j) be the third derivative of 1/30*j**5 + 0*j**4 + 0 + 0*j**3 + 0*j - j**2. Give l(y(f)).
-2*f**2
Let y(g) be the second derivative of -1/3*g**3 + 3*g + 0*g**2 + 0. Let m(v) = -3*v**2. Calculate y(m(h)).
6*h**2
Let t(l) = -34*l**2. Let d(a) = 127*a. Determine d(t(c)).
-4318*c**2
Let k(n) = -n + 5*n - 5*n. Let i = -73 + 45. Let x(j) = -13*j**2. Let q(b) = 72*b**2. Let c(g) = i*x(g) - 5*q(g). What is c(k(f))?
4*f**2
Suppose 0*f = -3*f + 12. Let c(u) = f*u + u - 2*u. Let d(s) = -s**2 + s - 1. Let b(h) = 6*h**2 - 5*h + 5. Let m(q) = -b(q) - 5*d(q). What is c(m(j))?
-3*j**2
Let r(b) = -2*b. Let q(l) = 163*l**2. Calculate q(r(f)).
652*f**2
Let z(f) be the first derivative of -f**2/2 - 14. Let g(q) = -23*q - 11. Let u(j) = 12*j + 6. Let b(i) = -6*g(i) - 11*u(i). Give z(b(r)).
-6*r
Let w(k) be the second derivative of k**3/2 - 7*k. Let n(y) = -10*y. Calculate n(w(q)).
-30*q
Let i(z) = -4*z. Let k(m) = m**2. Give i(k(y)).
-4*y**2
Let i(s) be the first derivative of -6*s**2 + 8. Let f(v) = -2*v**2. Give i(f(q)).
24*q**2
Suppose -5*g + 8 = -2. Let n(b) = 5*b**2 - 4*b**g + 0*b**2 + 3*b**2. Let o(t) = 2*t. Calculate o(n(i)).
8*i**2
Let f(i) = 37*