- 1 - 102*a. Determine k(f(d)).
-6*d
Let p(k) = 4*k. Let n(w) be the first derivative of -7*w**3/3 + 45. Determine n(p(h)).
-112*h**2
Let l(a) = 5*a**2. Let g(m) = -2*m. Suppose -c + 5*x + 41 - 11 = 0, c - 2*x = 15. Let r(w) = w**2 + 5*w. Let h(q) = c*g(q) + 2*r(q). What is h(l(p))?
50*p**4
Let w(i) = -5*i**2 + 677 - 677. Let v be (-3)/2*(-4)/3. Let n(t) = 0 + v*t**2 + 0. Give n(w(p)).
50*p**4
Let d(j) = j**2 - 20. Let i(y) = 53*y**2. Give i(d(n)).
53*n**4 - 2120*n**2 + 21200
Let i(x) be the third derivative of x**4/12 + 9*x**2. Let n(q) = q**2. Calculate n(i(v)).
4*v**2
Let z(w) = w**2. Suppose 10 = c - 4*v, 4*c - 2*v = -2 + 14. Let i(k) = -14 + 14 + k**2 - 2*k**c. Give z(i(n)).
n**4
Let r(h) = -23*h**2. Let f(q) = -2*q**2 + 6*q - 3. Let z(m) = -5*m**2 + 14*m - 7. Let u(b) = 7*f(b) - 3*z(b). Calculate u(r(p)).
529*p**4
Let d = 11 - 7. Let l(k) = 2*k - 4 + d. Let t(h) = -184*h + 184*h - h**2. Give t(l(i)).
-4*i**2
Let o(g) = -16*g - 9*g + 35*g. Let y(c) = 2*c**2. What is o(y(z))?
20*z**2
Let y(r) = -11*r. Let o(g) = -25*g**2 - 17*g + 17. Let t(w) = -3*w**2 - 2*w + 2. Let d(c) = -6*o(c) + 51*t(c). Calculate d(y(s)).
-363*s**2
Let q(d) = 9*d**2. Let o(g) = 5*g - 3. Let h(r) = -16*r + 10. Suppose -v = -2*n + 10, 5*n - v - 7 = -3*v. Let j(s) = n*h(s) + 10*o(s). What is j(q(i))?
18*i**2
Let x(b) = -6*b - 4. Let c(n) = -6 + 0 - 3 + 2 - 11*n. Let s(f) = 4*c(f) - 7*x(f). Let h(o) = 3*o**2. Calculate h(s(y)).
12*y**2
Let l(d) = d. Let x(g) = 4*g. Let a = 5 - -3. Let h(s) = 27*s. Let i(w) = 9*w. Let y(b) = a*i(b) - 3*h(b). Let t(u) = -5*x(u) - 2*y(u). Calculate t(l(j)).
-2*j
Let p(g) be the first derivative of -1/2*g**3 - 2*g - 3 + 0*g**2. Let h(s) be the first derivative of p(s). Let j(r) = -r. What is j(h(a))?
3*a
Let j(m) = -3*m. Let c be 96/9 + 4/(-6). Let g(t) = t**2 + t + 1. Let k(s) = 5*s**2 + 10*s + 10. Let l(q) = c*g(q) - k(q). Calculate j(l(i)).
-15*i**2
Let j be (-14)/(-6) - 4/(-6). Let p = -1 + j. Let h(c) = 2*c**2 - c**2 + c**p. Let k(u) = -u**2. Calculate k(h(a)).
-4*a**4
Let a(w) = 2*w**2. Suppose -5*s + 24 = -f, 0*f + 8 = -3*s - 5*f. Let u(k) = s*k**2 + 5*k**2 - 5*k**2. What is a(u(y))?
32*y**4
Let z(m) be the second derivative of m**3/3 + m. Let l(u) = -37 + 108 - 37 - 34 - 9*u**2. Calculate l(z(q)).
-36*q**2
Let z(m) be the second derivative of 7*m**3/6 - 2*m. Let l(r) = -r**2. What is l(z(f))?
-49*f**2
Let o(z) = -3*z. Let w = -3 - -5. Let l(r) = r**w + 6*r + 0*r - 6*r. Determine o(l(y)).
-3*y**2
Let f(h) = -h. Suppose -5*l + 86 = -69. Let w(m) = l - 31 - 4*m. Determine f(w(c)).
4*c
Let p(y) = 16*y. Let n(b) = b**2 + b. Let r(x) = 8*x**2 + 7*x. Let t(j) = -14*n(j) + 2*r(j). Give t(p(m)).
512*m**2
Let c(u) = 11*u**2 - 2*u - 2. Let h(g) = -144*g**2 + 27*g + 27. Let n be 768/28 + (-6)/14. Let f(q) = n*c(q) + 2*h(q). Let l(w) = w**2. Give f(l(z)).
9*z**4
Let a(g) = -g. Let f(z) = -48*z**2 - 1. Calculate a(f(n)).
48*n**2 + 1
Let q(k) = 3*k + 6. Let a(y) = 3*y + 5. Let t(p) = -6*a(p) + 5*q(p). Let f(s) = -4*s**2. What is t(f(g))?
12*g**2
Let x(p) = p**2. Let u(l) = -l**2. Let g(b) = 6*u(b) + x(b). Let w(c) = 3*c**2. Determine g(w(h)).
-45*h**4
Let z(b) = 5*b**2 - 5*b**2 + 2*b**2. Let y(n) = -n**2 + 4*n. Calculate y(z(q)).
-4*q**4 + 8*q**2
Let h(b) = -4*b. Let k(r) = 2*r + r - 3*r - 4*r. Determine k(h(d)).
16*d
Let f(c) = c. Let q(i) be the first derivative of -2 + 0*i**2 + 4*i + 1/6*i**3. Let s(j) be the first derivative of q(j). Give f(s(k)).
k
Let g(s) be the first derivative of s**2 + 221. Let x(m) = 3*m**2 + m**2 - 2*m**2. What is g(x(k))?
4*k**2
Let b(w) = -6641*w**2. Let j(d) = 5*d. Give b(j(u)).
-166025*u**2
Let f(d) be the third derivative of d**5/30 - 8*d**2. Let h(t) = t - 2*t - 4*t + 2*t. What is f(h(v))?
18*v**2
Let c(g) be the third derivative of -2*g**2 + 0*g + 0 + 0*g**3 + 1/12*g**4. Let n(j) = 6*j. Determine c(n(s)).
12*s
Let f(j) = 4*j + 7. Let l(g) = 13*g - 5*g - 6*g + 4. Let p(c) = 4*f(c) - 7*l(c). Let h(b) = -3*b + 4*b + b. What is p(h(t))?
4*t
Let q(p) = 5*p + 3. Let c(i) = -11*i - 7. Let o be (0 - 1)/(1/14). Let x be (-1 - 1)*o/4. Let t(g) = x*q(g) + 3*c(g). Let h(y) = -4*y**2. What is t(h(z))?
-8*z**2
Let b(s) = -2*s**2. Let k be -3 + 5 + 1 + -3. Let g(w) be the second derivative of 0 - 1/2*w**3 + k*w**2 + 2*w. Determine g(b(z)).
6*z**2
Let m(o) = -4*o + 5. Suppose -5*n = -43 - 32. Suppose n = 2*z - 5*z. Let s(w) = -2*w + 2. Let l(r) = z*s(r) + 2*m(r). Let a(x) = 5*x. What is a(l(g))?
10*g
Let t(j) be the third derivative of j**5/30 - j**2. Let z(m) be the third derivative of 0*m**4 - 5*m**2 - 1/30*m**5 + 0 + 0*m**3 + 0*m. What is t(z(r))?
8*r**4
Suppose 0*o - 2*o = -24. Let j(w) = 2*w - 12 + o. Let x(f) be the third derivative of -f**5/20 - f**2. Determine j(x(z)).
-6*z**2
Let n(g) = -5586*g. Let x(s) = -2*s**2. Determine x(n(t)).
-62406792*t**2
Let z(q) = 3*q + 1634. Let o(h) = -h**2. Calculate z(o(f)).
-3*f**2 + 1634
Let q(v) = 19*v**2. Let r(g) = 35*g**2. Give q(r(y)).
23275*y**4
Let d(a) = 2*a**2. Let h(w) be the second derivative of 35*w**4/12 - 13*w. Determine h(d(x)).
140*x**4
Let a(h) = 5*h**2 + 18*h. Let z(j) = 8*j**2. Let g(i) = 3*i**2. Let k(t) = -11*g(t) + 4*z(t). Give a(k(r)).
5*r**4 - 18*r**2
Suppose -i + 4*i = 0. Let u(v) = i*v - 4*v - v. Let y(j) = 2*j**2. What is y(u(d))?
50*d**2
Let r(p) = p**2 + 1. Let v(x) = x**2 + 2. Let w(a) = 2*r(a) - v(a). Let u(z) be the first derivative of 0*z + 2 - 1/2*z**2. Determine u(w(k)).
-k**2
Let l(f) = f**2. Let b(g) be the third derivative of 0*g**3 + 0*g - 4*g**2 + 1/60*g**5 + 0 + 0*g**4. Determine l(b(k)).
k**4
Let t(w) = 8*w**2. Let y(q) = 16*q**2 + 2*q. Calculate y(t(l)).
1024*l**4 + 16*l**2
Let g(d) = 15*d**2 - 5*d - 5. Let m(o) = -46*o**2 + 14*o + 14. Let j(t) = -14*g(t) - 5*m(t). Let b(s) = -s**2. Calculate b(j(v)).
-400*v**4
Suppose -8 = 2*n - 6*n. Let p(s) = n*s**2 + 59 - 59. Let f(j) = -j**2. What is p(f(t))?
2*t**4
Let f(p) = 4324*p. Let i(g) = g**2. Determine f(i(m)).
4324*m**2
Let o(n) = 0*n + 0*n - 30*n**2 + 24*n**2. Let b(g) = 2*g**2. Give b(o(q)).
72*q**4
Let p(i) = 354*i**2 + 2*i. Let s(l) = -4*l. Determine p(s(o)).
5664*o**2 - 8*o
Let u(a) be the first derivative of a**3/3 + 1. Let y(v) = -8*v**2 - 11*v. Let g(q) = -3*q**2 - 4*q. Let n(r) = 11*g(r) - 4*y(r). Determine u(n(j)).
j**4
Let x(y) = 5*y - 3. Let d(n) = 10*n - 7. Let h(v) = -3*d(v) + 7*x(v). Let u = -1 - -5. Let m(f) = f - u + 3 + 1. What is m(h(a))?
5*a
Let f(v) = -3. Let k(b) = b + 15. Let l(r) = 15*f(r) + 3*k(r). Let p(y) = 8*y. Let n(q) = 11*l(q) - 4*p(q). Let t(g) = -4*g**2 + 0*g**2 + 5*g**2. Give t(n(j)).
j**2
Let f(i) = -42876*i**2. Let y(v) = 2*v**2. What is y(f(p))?
3676702752*p**4
Let r(d) = -5*d. Let q(t) = 2*t**2 - 17*t + 8. Let k be q(8). Let g(j) be the second derivative of 0*j**2 + k + 4*j + 0*j**3 + 1/6*j**4. Determine r(g(z)).
-10*z**2
Let j(c) = -c**2 - 1. Let o(u) = u**2 + 3. Let q(l) = 6*j(l) + 2*o(l). Let w(g) = -3*g**2. Give q(w(t)).
-36*t**4
Let i(q) = q + 2. Let f(n) = 4*n + 9. Let p(w) = -4*f(w) + 18*i(w). Let y(m) be the second derivative of -m**4/12 + m. Give y(p(k)).
-4*k**2
Let s(y) = -5*y. Let f(v) = 7*v**2 - 13*v - 13. Let u(a) = 3*a**2 - 6*a - 6. Let j(z) = -6*f(z) + 13*u(z). Give s(j(r)).
15*r**2
Let l(g) = g**3 + 7*g**2 + 6*g + 3. Let p be l(-6). Let i(a) be the first derivative of -p*a**2 + a**2 + a - 3 - a. Let b(u) = -u. What is i(b(k))?
4*k
Let v(u) = -2*u**2. Let w(m) = 4*m**2. Give v(w(d)).
-32*d**4
Let c(u) = -10*u. Let f(a) = -a**2. Calculate f(c(o)).
-100*o**2
Let u(a) be the first derivative of a**3/3 + 4. Let f(d) be the first derivative of 8*d**3/3 - 2. What is f(u(b))?
8*b**4
Let y(s) = -8*s**2. Let p(x) be the third derivative of x**4/24 - 10*x**2. Give p(y(i)).
-8*i**2
Let n(j) be the first derivative of 5*j**2/2 - 18. Let p(y) = 6*y. Calculate p(n(z)).
30*z
Let s(m) = -m - 7. Let o(i) = -i - 2. Determine s(o(n)).
n - 5
Let t(z) = -11*z**2 - 3*z - 3. Let q(y) = 11*y**2 + 2*y + 2. Let n(f) = -3*q(f) - 2*t(f). Let u(b) = b**2. Give n(u(l)).
-11*l**4
Let o(x) = -x. Let j(t) = -t + 2. Let c(l) = 4*l - 7. Let a(d) = 4*c(d) + 14*j(d). Calculate o(a(h)).
-2*h
Let n(l) = -6*l - 11. Let v(q) = 0 - 3*q - 2 + 2*q. Let h(a) = 2*n(a) - 11*v(a). Let k(w) be the third derivative of -w**4/24 - w**2. Give k(h(f)).
f
Let o(c) = c. Let g(x) = -3*x + 2*x*