k)).
k
Let z(x) = 2*x - 5. Let w(y) = y - 2. Let b(t) = 5*w(t) - 2*z(t). Let g(a) be the first derivative of a**3 - 8. Determine g(b(u)).
3*u**2
Let h(n) be the third derivative of -n**8/1680 - 2*n**5/15 + n**2. Let o(y) be the third derivative of h(y). Let t(b) = 2*b**2. Give t(o(r)).
288*r**4
Let u = -8 - -11. Suppose -10 = -8*g + u*g. Let k(j) = 2*j**2 + 3*j**2 - 3*j**g. Let d(q) = -q**2. Give d(k(c)).
-4*c**4
Let m(c) = 20*c + 4. Let x(w) = 8*w. Calculate m(x(l)).
160*l + 4
Let m(l) = 3*l + 6. Let z(i) = i - 1. Let s(h) = -m(h) - 6*z(h). Let j(u) = -3*u**2. What is s(j(y))?
27*y**2
Let c(w) = 7 - 1 - 6 + w. Let z(n) = 3*n**2. What is z(c(h))?
3*h**2
Let j(i) = i. Let w(x) = 401*x. Calculate j(w(o)).
401*o
Let z(w) = -2*w. Let g(s) = 55*s + 5. Let o(p) = -138*p - 12. Let x(f) = -12*g(f) - 5*o(f). Let i(b) = 6*b. Let d(m) = -21*i(m) + 4*x(m). Calculate z(d(n)).
12*n
Let g(u) = 2620*u**2. Let i(t) = 2*t**2. What is i(g(r))?
13728800*r**4
Let n(p) = 40*p + 137. Let g(a) = -2*a. Give n(g(l)).
-80*l + 137
Let w(c) = 39*c**2 - 36*c. Let b(k) = -11*k**2 + 10*k. Let y(i) = 18*b(i) + 5*w(i). Let l(m) = -2 + 2 - 2*m. What is l(y(t))?
6*t**2
Let o(r) = 4*r**2. Suppose 3*q - 14 = 1, 3*q - 37 = -2*u. Let b(g) = -u*g + 7*g + 3*g. Determine b(o(s)).
-4*s**2
Let o(h) = 2*h**2. Suppose m + m + 4 = 2*a, 2*a - 3*m - 4 = 0. Let z(g) = g**3 - g**2 - g. Let s be z(2). Let k(r) = -3*r**2 + 4*r**s - 2*r**a. Give k(o(w)).
-4*w**4
Let h(a) = 2*a**2. Suppose -4*d = -9*d. Let m(o) be the third derivative of 0*o**4 + d*o - 1/30*o**5 + 0*o**3 + 2*o**2 + 0. What is m(h(f))?
-8*f**4
Let f(r) = -2*r**2. Let b be 1/(1 - 6/9). Let t be 2/2*6/b. Let i(h) = -3*h**t - 5*h**2 + 3*h**2. Determine i(f(m)).
-20*m**4
Let i(j) = -3*j - 2*j - j + 5*j. Let k(x) = 5*x. Calculate k(i(o)).
-5*o
Let m(d) = 2*d**2 + d + 5*d - 6*d. Let s(z) = -16*z. What is m(s(x))?
512*x**2
Let l(r) be the third derivative of r**5/30 + 24*r**2. Let i(d) = 2*d**2 - 37. Determine i(l(f)).
8*f**4 - 37
Let z(m) be the third derivative of -m**5/60 - 8*m**2. Let a(x) = -2*x. Calculate z(a(h)).
-4*h**2
Let c(q) = 2*q. Let a(z) = -6*z. Let s(h) = -a(h) + 4*c(h). Let l(u) = 4*u**2. Calculate l(s(x)).
784*x**2
Let x(c) = 4*c**2 - 9*c**2 + 7*c**2 - 4*c**2. Let i(s) = -123*s. What is x(i(n))?
-30258*n**2
Let q(w) = -w. Let x = 29 - 27. Let f(r) be the first derivative of 2 + 5/2*r**x + 0*r. Calculate f(q(t)).
-5*t
Let d(j) = 16*j**2 - 14*j**2 + 7*j**2. Let q(x) = x. Determine d(q(s)).
9*s**2
Let w(o) = 4*o. Let r(t) = -4*t**2 + 2 + 2*t**2 + 4 - 7*t**2. Let f(x) = -8*x**2 + 5. Let y(v) = -6*f(v) + 5*r(v). Calculate w(y(z)).
12*z**2
Let o(d) = 3*d. Let a(n) = 923*n. Calculate a(o(h)).
2769*h
Let w(o) = 28*o**2. Let p(f) = -5*f**2 - 9*f - 9. Let b(s) = -2*s**2 - 4*s - 4. Let z(i) = 9*b(i) - 4*p(i). Give w(z(d)).
112*d**4
Let u(j) = 3*j - 7. Let c(g) = 0*g + 8 - 10 + g. Let a(s) = -14*c(s) + 4*u(s). Let m(f) = -2*f**2. Give m(a(p)).
-8*p**2
Suppose -4*t - 7 = -19. Let x(z) = 0*z + 4*z + z - t*z. Let o(d) = -3*d**2. Calculate o(x(u)).
-12*u**2
Let u(q) = -1. Let c(h) = 3*h - 2. Let j(m) = -c(m) + 2*u(m). Let s(f) = -22*f. What is j(s(a))?
66*a
Let k(l) = 9*l. Let h(w) = -15*w**2 + 2*w**2 + 16*w**2. What is h(k(j))?
243*j**2
Let c(n) = 21*n**2 - 3*n. Let z(r) = -r + 3. What is z(c(a))?
-21*a**2 + 3*a + 3
Let a(l) = 2*l. Suppose z + 1 - 3 = 0. Let i(p) be the second derivative of 1/3*p**3 + 0*p**2 + 0 + z*p. Determine i(a(m)).
4*m
Let o(u) = 2*u**2 + 4*u + 4. Let r(s) = 5*s**2 + 9*s + 9. Let x(w) = 9*o(w) - 4*r(w). Let l(g) = -g. Calculate l(x(j)).
2*j**2
Let i(r) be the second derivative of 8*r**3/3 + 11*r. Let c(s) = 3*s**2. What is i(c(z))?
48*z**2
Let a(y) = y. Let c(x) = 224*x - 136. Let s(q) = -5*q + 3. Let g(f) = -f**2 - 6*f + 6. Let w be g(-6). Let d(j) = w*c(j) + 272*s(j). Give d(a(t)).
-16*t
Let z(j) = 47*j**2 + j. Let m(o) = -o**2. Determine z(m(w)).
47*w**4 - w**2
Let h(f) = -2*f - 7*f + 8*f. Let n(g) = -11*g**2. Give h(n(b)).
11*b**2
Let k(f) = f**2. Let d(b) = 277*b. Calculate k(d(q)).
76729*q**2
Suppose -4 = -2*y + 16. Let s(c) = -y*c + 15*c - 9*c. Let m(r) = 5*r**2. Calculate m(s(b)).
80*b**2
Let d(a) = -2*a**2. Let u(q) = -230*q. What is d(u(l))?
-105800*l**2
Let r(m) = m + 24. Let w(u) = 2*u. What is w(r(k))?
2*k + 48
Let l(x) = 221*x**2. Let p(r) = -6*r**2. What is l(p(q))?
7956*q**4
Let v(a) = -3*a**2. Suppose q = 2*q - 7. Suppose 1 = 4*l - q. Let z(y) = -y**2 - l + 2. Give z(v(b)).
-9*b**4
Let g = -4 - -6. Let u(c) = -3*c**2 - 2*c**g + 3*c**2. Let h(n) = -n**2. Give u(h(f)).
-2*f**4
Let u(v) = -2*v. Let a = 17 - 9. Suppose 3*t - 3*b - 5 - 7 = 0, -3*t - b = -a. Let h(q) = 3*q + 2*q - t*q. Calculate h(u(f)).
-4*f
Let y(s) be the third derivative of -s**4/6 + 4*s**2. Let q(k) = -k**2 - 2*k + 2. Let o(z) = -4*z**2 - 9*z + 9. Let m(u) = -2*o(u) + 9*q(u). Determine y(m(d)).
4*d**2
Let w(q) = -2*q. Let g(s) = -7 + 1 + 7*s - 2*s - 6*s. Calculate w(g(i)).
2*i + 12
Let b(w) = 0*w**2 + 14 - 11 - 5*w**2. Let g(q) = q. Give b(g(f)).
-5*f**2 + 3
Let b(l) = 15*l**2. Let i(k) = 2*k**2 - 8 + 8. Determine i(b(q)).
450*q**4
Let c(s) = 3*s**2 + 1 - s**2 - 1. Let d(k) = k - 1. Let j(y) = 12*y - 10. Let m(n) = -20*d(n) + 2*j(n). Determine c(m(f)).
32*f**2
Let i(t) = 5*t**2. Let z(c) = 11*c - 1. Calculate z(i(f)).
55*f**2 - 1
Let x(b) = -4*b. Let j(l) = -95 + 95 - l**2 + 3*l**2. Determine x(j(u)).
-8*u**2
Let p(k) = 12*k**2. Let c(b) = -109*b. Give p(c(x)).
142572*x**2
Let n(p) = 2 - 7 + 5 + 8*p. Let y(f) = -2*f**2. Calculate y(n(j)).
-128*j**2
Let v(l) = 5*l**2. Let i(q) = -24*q - 14. Calculate v(i(f)).
2880*f**2 + 3360*f + 980
Let w(x) = x**2. Let i(y) be the second derivative of -y**3 + 6*y. What is i(w(d))?
-6*d**2
Let a(g) = -6*g + 3*g + g + 3*g. Let h(u) = 11*u**2. Determine h(a(d)).
11*d**2
Let j(z) = -128*z**2. Let t(y) = 2*y + 4. Determine t(j(q)).
-256*q**2 + 4
Let l(n) = 2*n**2 + 3*n + 1. Let x be l(-2). Let i(t) = t - x*t + t + 2*t. Let d(f) be the second derivative of -f**4/12 - f. Determine i(d(k)).
-k**2
Let d(z) be the first derivative of 13*z**3/3 + 2. Let m(t) = 8 + 0 - 8 + 2*t. Give d(m(y)).
52*y**2
Let k(m) = 108*m**2 + 5. Let h(b) = 2*b**2. Give h(k(a)).
23328*a**4 + 2160*a**2 + 50
Let k be 16/9 - (-8)/36. Let p(c) = 0*c**2 - 3*c**k - 2*c**2. Let x(s) = 2*s**2. Determine p(x(t)).
-20*t**4
Let n(c) = 2*c**2. Let g(w) = -w**3 + 5*w**2 + 6*w + 5. Let o be g(6). Let z(v) = o - 5 + 2*v**2. Determine n(z(b)).
8*b**4
Let p(r) be the third derivative of -r**5/60 - 2*r**2. Let h(l) be the third derivative of l**5/30 + 5*l**2. Determine p(h(u)).
-4*u**4
Let g(z) = -14*z + 6*z + 6*z. Let f = 5 + -3. Let w(n) = 9*n**2 - 2*n**2 - n**f. Give g(w(d)).
-12*d**2
Let d(h) = -2*h. Let f(r) be the third derivative of 4*r**5/15 + 6*r**2. What is d(f(a))?
-32*a**2
Let i(q) = 47*q - 1. Let g(w) = 8*w. Give i(g(c)).
376*c - 1
Let f(d) = 2*d**2. Suppose -4*k + 74 = 2*l, -3*k = 2*l - 39 - 37. Let i(s) = -41 + l - 3*s. Calculate i(f(z)).
-6*z**2
Let k(q) = 2*q. Let a(d) = -1951*d. Determine k(a(v)).
-3902*v
Let t(u) = -56*u. Let m(v) = 31*v. Calculate m(t(j)).
-1736*j
Let n(t) = -2*t**2. Let d(i) = 2*i**2 + 2*i**2 + 33 - 33. Calculate n(d(p)).
-32*p**4
Let w(p) = -7*p**2. Let r(o) be the third derivative of -o**7/840 - 7*o**4/24 - 8*o**2. Let m(c) be the second derivative of r(c). What is w(m(t))?
-63*t**4
Let s(p) = 2*p**2. Suppose 3*u = 4*t - 3*t - 11, -4*u - 3 = t. Suppose a = 3*h + h - 3, 2*a - 14 = -2*h. Let c(l) = -t*l**2 + 6*l**h + l**2. Calculate s(c(f)).
8*f**4
Let r(j) be the first derivative of 5 + 5/2*j**2 + 0*j. Let n(g) = -4*g. Let u(y) = -21*y. Let h(f) = -11*n(f) + 2*u(f). Calculate r(h(l)).
10*l
Suppose -4*f - 3*g + 1 - 5 = 0, 4*g = -16. Let j(t) = 2*t**2 - f*t + 2*t + 2*t**2. Let i(y) = 3*y**2. Determine j(i(r)).
36*r**4
Let c(n) = -2*n. Let f = 19 - 16. Let z(o) be the first derivative of 1/3*o**f + 0*o**2 + 0*o + 1. What is c(z(m))?
-2*m**2
Let f(v) = 5*v. Let k(d) = 62*d. Calculate f(k(o)).
310*o
Let n(v) = -3 + 4*v + 1 + 2. Let c(p) = -2*p + p**2 + 2*p. What is c(n(k))?
16*k**2
Let b(c) = 2*c. Let w = 28 + -24. Let u(n) = 4*n + 3*n + 5*n - w*n. Calculate u(b(m)).
16*m
Let p(n) = -2*n**2. Let w(h) be the third derivative of -h**6/72 + 7*h**4/24 - 3*h**2. Let y(x) be the second derivative of w(x). Determine y