b**4/12 - b**2 - 47*b. Let f(a) = -2*a**2. Calculate t(f(q)).
52*q**4 - 2
Let t(k) be the third derivative of k**4/12 + 3*k**2. Let r(h) = -3*h. Give t(r(d)).
-6*d
Let g(u) = 12*u. Let t(f) = 6*f**2 + 8*f**2 + 13*f**2 - 28*f**2. Give g(t(m)).
-12*m**2
Let f(j) = -3*j**2. Let g(u) = 2*u + 96. What is f(g(w))?
-12*w**2 - 1152*w - 27648
Let z(x) = -2*x**2 - 10. Let v(y) = -6*y**2. What is v(z(t))?
-24*t**4 - 240*t**2 - 600
Let l(w) = 20*w**2. Let y(i) = 0*i + 6*i - 3*i. Determine y(l(v)).
60*v**2
Let t(a) = a**2. Let h(i) = -4*i**2 - 391*i. What is h(t(x))?
-4*x**4 - 391*x**2
Let y(h) be the second derivative of -5*h**3/3 - 6*h. Let t(w) = -4*w. What is t(y(m))?
40*m
Let b(d) = -4*d**2 - 2. Let x(q) = 4*q**2 + 3. Let j(i) = -3*b(i) - 2*x(i). Let h(g) = -4*g. Determine j(h(t)).
64*t**2
Let n(g) = -g**2. Let l = 4 - 2. Let m(f) = -2*f**2 - 2*f**2 + 0*f**2 + f**l. Determine m(n(z)).
-3*z**4
Let i(h) = 48*h. Let d(s) = -s. Let c(y) = -72*d(y) - 2*i(y). Let u(n) = -n. Calculate c(u(r)).
24*r
Let k = -2 - -4. Let t(i) = 2 - i**k - 2. Let v(n) = 1. Let c(u) = 3*u - 4. Let p(b) = -c(b) - 4*v(b). Give p(t(d)).
3*d**2
Suppose -w = 3*w + 4. Let m = w + 5. Let i(y) = 3 - 1 - 2 + m*y**2. Let j(d) = d. Calculate j(i(r)).
4*r**2
Let t(j) = -2*j. Let f(b) = -56*b**2. Determine t(f(d)).
112*d**2
Let r(y) = -7*y**2 + 1. Let n(k) = 471*k**2. Determine n(r(p)).
23079*p**4 - 6594*p**2 + 471
Let a(q) = q**2. Let o(v) = -68*v + 38*v + 33*v. Calculate o(a(h)).
3*h**2
Let x(p) = -2*p. Let w(k) = 2*k**2 + 195*k. What is w(x(t))?
8*t**2 - 390*t
Let z(m) = -2*m**2. Let t(s) = -1. Let j = -3 - -5. Let h(u) = -10*u + 2. Let p(o) = j*t(o) + h(o). Give p(z(f)).
20*f**2
Let i(g) = -g**2. Let q(r) = -4*r**2. Let h(s) = 7*i(s) - 2*q(s). Let j(z) = 6*z**2 - 4*z**2 - 3*z**2 - z**2. Determine h(j(u)).
4*u**4
Let k(x) = 2*x. Let t(y) be the second derivative of -5*y**3/2 + 20*y. Calculate k(t(g)).
-30*g
Let i(x) = -77*x**2 + 2*x. Let g(a) = 16*a**2. Determine i(g(j)).
-19712*j**4 + 32*j**2
Let b(o) = -o**3 + 3*o**2 + 5*o - 4. Let c be b(4). Let p(a) = -a + a + a + a + c. Let i(d) = d**2. What is i(p(g))?
4*g**2
Let h = -7 - -11. Let c(a) be the third derivative of 0 + 0*a**3 + 3*a**2 - 1/60*a**5 + 0*a**h + 0*a. Let v(k) = -k**2. What is v(c(b))?
-b**4
Let h(k) = 206*k. Let m(w) = -w. Calculate m(h(o)).
-206*o
Let c(l) be the second derivative of l**4/2 - 10*l. Let o(v) be the first derivative of -v**2 - 1. What is c(o(m))?
24*m**2
Let k(v) = -v. Let i(j) = -j**2 + j - 1. Suppose r + 2 = -0*r. Let u(d) = -3*d**2 + 2*d - 2. Let a(n) = r*i(n) + u(n). What is k(a(t))?
t**2
Let o(s) = 4*s**2. Let u(b) = -b + 167. Give u(o(j)).
-4*j**2 + 167
Let b(w) = 3*w - 6. Let n(p) = -9*p + 17. Let o(g) = -17*b(g) - 6*n(g). Let a(s) be the third derivative of -s**4/12 - 5*s**2 + 5. Determine o(a(i)).
-6*i
Let l(h) be the second derivative of 0*h**2 + 0 + 6*h + 0*h**3 + 1/12*h**4. Let b(q) = 8*q**2. Give l(b(j)).
64*j**4
Let z(b) = -4*b - b + 5*b + b. Let t(v) = 1 - 1 - 2*v**2. What is z(t(s))?
-2*s**2
Let f = 0 + 5. Let u(q) = f*q - 1 - q + 1. Let c(a) = 2*a. Calculate c(u(w)).
8*w
Let r(p) = -p**2. Let q(w) be the second derivative of -w**6/720 + w**4/12 - 2*w. Let d(k) be the third derivative of q(k). Calculate r(d(f)).
-f**2
Let q(t) be the third derivative of -t**5/15 + 4*t**2. Let x(s) = s. Give q(x(i)).
-4*i**2
Let k(c) = -2*c. Let w(i) = -i**2 - i. Let m(l) = -4*k(l) + 8*w(l). Let h(o) = -2*o. Calculate m(h(z)).
-32*z**2
Let c = 1 - -1. Let o(p) = -3*p**2 + 0 + p**c + 0. Let r(m) = 0*m - 3*m + 0*m. Give o(r(v)).
-18*v**2
Let j(u) = -4*u. Let s(f) = -2*f - 3. Let g(m) = -m - 2. Let n(z) = -3*g(z) + 2*s(z). What is n(j(k))?
4*k
Let a(p) = -3*p**2. Let z(t) = t**3 - 6*t**2 + 6*t - 3. Let g be z(5). Let u(b) = 1 + 2 - 3 - 2*b**g. Calculate u(a(n)).
-18*n**4
Let i(p) = 3*p + 2*p - 4*p. Let b(t) = 3*t**2 - 2*t + 2. Let w(d) = 39*d**2 - 27*d + 27. Let l(v) = 27*b(v) - 2*w(v). Give i(l(g)).
3*g**2
Let o(w) be the second derivative of w**3/6 - 2*w**2 + 2*w. Let k be o(6). Let s(q) = -k*q**2 - 2*q**2 + 3*q**2. Let x(a) = 2*a. What is s(x(r))?
-4*r**2
Let w(m) = -m**2. Let n(l) be the first derivative of 1/2*l**2 + 9 + 0*l. Determine n(w(t)).
-t**2
Let y(r) = r**2 - r. Let a(k) = 5*k**2 + 6*k. Let z(d) = a(d) + 6*y(d). Let o(p) = -p. Calculate o(z(t)).
-11*t**2
Let j(h) = 0 - 5 + 2 - 6 + 10*h. Let o(v) = v - 1. Let i(f) = -4*j(f) + 36*o(f). Let x(g) = g**2. Calculate i(x(b)).
-4*b**2
Let x(i) be the second derivative of -i**3/3 - i. Let h(a) = 15*a**2. What is h(x(l))?
60*l**2
Let l(o) = 2*o + 6. Let i(m) = m + 1. Let a(u) = -6*i(u) + l(u). Let s(z) = -2*z. What is a(s(k))?
8*k
Let i(d) be the first derivative of -d**4/12 + 3*d**2/2 - 2. Let j(x) be the second derivative of i(x). Let z(p) = 2*p. Give z(j(o)).
-4*o
Let d(w) = -11*w**2 - 2*w - 2. Let l(y) = 21*y**2 + 5*y + 5. Let p(s) = -5*d(s) - 2*l(s). Let v(h) = 3*h**2. Determine v(p(o)).
507*o**4
Let f(r) = -r. Let v = -5 - -10. Let l(a) = -a. Let m(i) = v*f(i) - 3*l(i). Let n(s) = -2*s. Determine n(m(q)).
4*q
Let h(o) = -20*o. Let k(p) = 66*p. What is h(k(i))?
-1320*i
Let g(o) = -2*o**2. Let m(u) = 88*u - 12. Determine g(m(b)).
-15488*b**2 + 4224*b - 288
Let f(k) = -3*k - 2. Let c(a) = -7*a - 5. Let g(y) = -2*c(y) + 5*f(y). Let w(p) be the second derivative of -5*p**3/6 + 15*p. Give w(g(r)).
5*r
Let r(i) = -3*i - 2*i + 6*i. Let p(h) = 12*h. Determine p(r(c)).
12*c
Let w(k) = 97*k - 97*k - 2*k**2. Let g(s) = s. Determine g(w(a)).
-2*a**2
Let n(s) = -s + 1. Let a(r) = 4*r**2 - 6*r + 6. Let c(o) = a(o) - 6*n(o). Let v(l) = -10*l. Give c(v(b)).
400*b**2
Let m(b) = 3*b. Let i(f) = -f. Let l(d) = -7*i(d) - 2*m(d). Let w(a) = 6*a. Give l(w(s)).
6*s
Let q(c) = -59*c. Let n(s) = 654*s. Calculate q(n(b)).
-38586*b
Suppose 6 = 2*x + x. Let v(n) = -3*n**2 + 4*n**x + 0*n**2. Let f(c) = -6*c**2. Calculate v(f(w)).
36*w**4
Let c(i) = -11*i + 5. Let x(n) = 5*n - 2. Let p(j) = -2*c(j) - 5*x(j). Let m(k) = -k**2. Give m(p(u)).
-9*u**2
Let m(k) = 2 - 1 - 5*k - 1. Let b(a) be the first derivative of -a**3/3 - 2. Calculate m(b(x)).
5*x**2
Let p(i) = 5*i**2. Let f(a) = 5*a**2. Calculate p(f(j)).
125*j**4
Let y = -45 - -47. Let c be 17/5 + (-2)/5. Let v(t) = 4*t**y - 2*t**2 + 6*t**2 - c*t**2. Let h(s) = 2*s. Give h(v(q)).
10*q**2
Let d(x) = -85*x + 25. Let u(y) = 7*y - 2. Let s(r) = -2*d(r) - 25*u(r). Let l(z) be the second derivative of -z**4/12 + 2*z. What is s(l(t))?
5*t**2
Let n(x) = -x**2. Let j(s) be the third derivative of 0 + 0*s**4 + 0*s + 0*s**3 - 3*s**2 + 1/60*s**5. What is n(j(p))?
-p**4
Suppose d - 4 = -2. Suppose 12*z = 11*z + 2. Let h(v) = -5*v**z - 2*v**2 + 3*v**2 + 0*v**d. Let c(t) = -2*t. Give h(c(u)).
-16*u**2
Let s(d) = d + 36. Let b(m) = 8*m. What is s(b(t))?
8*t + 36
Let i(t) = 3*t**2 - t**2 + 0*t**2 + t**2. Let g(s) = 6*s. What is g(i(z))?
18*z**2
Let h(a) = 5*a**2 + 2*a. Let k(q) = 6*q**2 + 3*q. Let d(w) = -3*h(w) + 2*k(w). Let j(r) = 13*r. Determine d(j(i)).
-507*i**2
Let u(a) = -2*a + 97. Let z(o) = -24*o**2. What is u(z(k))?
48*k**2 + 97
Let x(p) = -2*p**2. Let v(d) be the second derivative of 4*d**3/3 + 2*d. Determine v(x(n)).
-16*n**2
Let k(x) = x. Let t(u) = u + 6. Let o be t(-6). Let f(w) = 3*w**2 + o*w**2 + w**2. What is k(f(l))?
4*l**2
Let v = 12 - 10. Let c(g) = -4*g**v - g**2 - g**2. Let p(w) = 2*w**2. Give p(c(o)).
72*o**4
Let h(u) = u**2. Let j(g) = -231*g - 1. Calculate h(j(q)).
53361*q**2 + 462*q + 1
Let f(z) = 4*z - 2 + 4 - 2. Let b(s) = -s. Let q(x) = x. Let k(u) = -b(u) - 3*q(u). Give k(f(d)).
-8*d
Let m(u) be the second derivative of -5*u**3/3 + 30*u. Let v(w) = -w**2. Calculate m(v(t)).
10*t**2
Let h(a) = -2*a**2 - 5368. Let g(t) = 3*t. Determine h(g(n)).
-18*n**2 - 5368
Let u(a) = -a**2. Let g = 51 + -5. Let d be (-10)/(-25) - g/(-10). Let r(h) = -3*h - 5*h + d*h. What is u(r(o))?
-9*o**2
Let s(q) be the first derivative of q**3 - 3. Let l(j) be the second derivative of -j**4/12 - 42*j. What is l(s(n))?
-9*n**4
Let q(l) = -9*l. Let a(s) = 3*s**2 - 6*s. Determine q(a(w)).
-27*w**2 + 54*w
Let u(q) = -6*q. Let b(g) = 3*g**2 - 168. Calculate b(u(z)).
108*z**2 - 168
Let d(x) be the first derivative of x**4/8 + x**2 + 3. Let m(a) be the second derivative of d(a). Let o(l) = 2*l**2. What is o(m(w))?
18*w**2
Let a(u) = 19*u**2 + 1. Le