+ 1. Calculate a(f(k)).
-201640*k**2 + 2840*k - 10
Let n(m) = 97*m**2. Let p(j) = 38*j**2. Determine p(n(k)).
357542*k**4
Let l(c) be the first derivative of 9*c**2/2 - 7*c + 3. Let o(b) = -5*b + 4. Let u(v) = 4*l(v) + 7*o(v). Let p(h) = -3*h**2. What is u(p(g))?
-3*g**2
Let z(q) = -q**2 + q + 1. Let m(f) = -2*f**2 + 3*f + 3. Let l(y) = m(y) - 3*z(y). Let a(k) = 8*k. Determine l(a(h)).
64*h**2
Let q(h) = -3*h. Let w = -12 + 17. Let l(v) = 6*v**2 + 5*v + 5. Let i(n) = 3*n**2 + 2*n + 2. Let x(t) = w*i(t) - 2*l(t). What is q(x(g))?
-9*g**2
Let h(k) = 3*k**2. Let b(r) = 5*r**2 + 4*r - 4. Let v(x) = 14*x**2 + 11*x - 11. Let m(c) = -11*b(c) + 4*v(c). Determine m(h(g)).
9*g**4
Let z(d) = 3 + 2*d - 3. Let y(k) be the third derivative of k**8/20160 + k**5/30 - 8*k**2. Let c(j) be the third derivative of y(j). Calculate z(c(b)).
2*b**2
Let g(q) = q**2. Let v(o) be the second derivative of -o**6/360 - o**4/3 - 4*o. Let m(p) be the third derivative of v(p). What is g(m(r))?
4*r**2
Let q(k) = 6*k + 8. Let x(z) = z + 1. Let w(i) = -q(i) + 8*x(i). Let j(b) = -4*b. Calculate j(w(c)).
-8*c
Let z(x) = 3*x**2. Let k(r) be the first derivative of 7*r**3/3 + 6. Determine k(z(y)).
63*y**4
Let o(p) = 2*p - 10. Let g be o(7). Suppose -38 = -5*y + g*u, u - 22 = -3*y + 3*u. Let c(t) = -4*t - t + y*t. Let x(z) = -3*z. Give c(x(k)).
-3*k
Let j(g) = 2*g + 7*g - 9*g - 3*g**2. Let d(r) = 6*r**2. What is j(d(p))?
-108*p**4
Let r(l) be the second derivative of l**4/12 - 3*l**3 + 6*l. Let z(p) = 2*p**2. Give z(r(c)).
2*c**4 - 72*c**3 + 648*c**2
Let p(k) = -k**2. Let m(j) = 128*j**2. Calculate p(m(f)).
-16384*f**4
Let x(a) be the third derivative of -a**5/60 + 20*a**2. Let t(h) = 11*h**2. Give x(t(b)).
-121*b**4
Let t(m) = -m. Let a(d) = d - 49. What is a(t(p))?
-p - 49
Let u(j) = -10*j**2 + 3*j. Let m(o) = 4*o**2. What is u(m(l))?
-160*l**4 + 12*l**2
Let j(r) be the third derivative of 3*r**4/8 + 36*r**2. Let c(y) = 8*y**2. Determine j(c(z)).
72*z**2
Let m(h) be the second derivative of -5*h**4/12 + 53*h. Let c(i) = 13*i. Determine m(c(y)).
-845*y**2
Let p(o) = o + 3*o - 2*o. Let t(z) = z**2 + 3*z. Let s(a) be the second derivative of -a**4/2 - 7*a**3/3 + a. Let k(b) = -3*s(b) - 14*t(b). What is k(p(v))?
16*v**2
Let i(p) = 11*p - 1. Let z(r) = 7*r**2. What is i(z(t))?
77*t**2 - 1
Let a(f) = 20*f. Let m(h) = -16*h - 2. Determine a(m(b)).
-320*b - 40
Let y(q) = -2*q - 2. Let l(s) = s**2 - 5*s - 5. Let p(v) = 6*l(v) - 15*y(v). Let f(c) = -3*c + 6. Let b(a) = 1. Let j(i) = 6*b(i) - f(i). Determine p(j(d)).
54*d**2
Let p(a) be the second derivative of 0*a**2 + a + 0 + 1/6*a**3. Let i(o) = o - 6. Let s(x) = -2*x + 11. Let d(z) = -11*i(z) - 6*s(z). Determine d(p(u)).
u
Let l(u) = -u. Let r(q) = 2*q**2 + 0 - 2 + 2. Determine r(l(k)).
2*k**2
Let s(o) = -o**2 - 19*o. Let b(u) = 109*u**2. Give s(b(j)).
-11881*j**4 - 2071*j**2
Let j(w) = 3*w**2 - 20*w - 57. Let s(a) = -a. Calculate j(s(d)).
3*d**2 + 20*d - 57
Let r(y) = 4*y. Let j(u) = -5*u. Give r(j(v)).
-20*v
Suppose 0*x - 3*x = 33. Let k(i) = -2*i. Let g(c) = c. Let l(h) = x*g(h) - 4*k(h). Let y(n) = 5*n + n**2 - 5*n. Give y(l(f)).
9*f**2
Let y(k) be the second derivative of k**3/6 + k. Let j(m) = m. Give j(y(c)).
c
Let l(o) = -2*o**2. Let i(c) = 3*c**2 + 7. Let f(w) = 9*w**2 + 19. Let t(a) = 6*f(a) - 17*i(a). What is l(t(h))?
-18*h**4 + 60*h**2 - 50
Let h(v) = 3*v**2. Let p(f) = -7*f**2. Let d(b) = 10*h(b) + 4*p(b). Let u(w) = 32*w**2. What is d(u(y))?
2048*y**4
Let i be (-12)/(-7) - 2/(-7). Let a(u) = u**2 + 4*u**i - 2*u**2. Let q(x) = -x + 3*x + 0*x. Give a(q(b)).
12*b**2
Let z(v) = -9*v. Let i(d) = 207*d**2. What is i(z(t))?
16767*t**2
Let y(o) = -6*o**2. Let x be ((-10)/3)/((-6)/54). Let m(z) = z + x - 30. Calculate y(m(w)).
-6*w**2
Let x(c) = c**2. Let w(q) = 3*q**2 - 2. Let o(u) = -39*u**2 + 27. Let f(a) = 4*o(a) + 54*w(a). What is f(x(l))?
6*l**4
Let c(m) = -m. Let n(a) = 4*a + 5. Let l(k) = -20*k - 24. Let q(f) = -5*l(f) - 24*n(f). Let d(p) = 9*p. Let i(o) = -3*d(o) + 7*q(o). Determine i(c(u)).
-u
Let c(k) = -2*k**2 - 19*k. Let o(t) = t**2. Determine o(c(x)).
4*x**4 + 76*x**3 + 361*x**2
Let x(z) = -8*z**2 - 12*z. Let m(a) = a**2 + a. Let q(h) = 12*m(h) + x(h). Let c(i) be the third derivative of i**4/24 + 6*i**2. What is q(c(s))?
4*s**2
Let j(c) = 65*c**2 - 1. Let p(h) = 2*h**2. Determine j(p(i)).
260*i**4 - 1
Let m(b) = 12*b**2. Let o(t) = -234*t**2 - 3. What is o(m(w))?
-33696*w**4 - 3
Let n(b) = -8*b**2. Let k(g) = -8*g**2 - 2*g. Let u(h) = -h**2 + h. Let q(j) = k(j) + 2*u(j). What is q(n(r))?
-640*r**4
Let l(n) be the first derivative of n**2 + 103. Let f(u) = -u**2 + u. Let g(b) = -7*b**2 + 4*b. Let h(z) = -4*f(z) + g(z). What is h(l(p))?
-12*p**2
Let x(h) = -h. Let l(q) = -3*q. Let z(u) be the second derivative of -13*u**3/6 - u. Suppose -7*r = -12*r + 10. Let d(n) = r*z(n) - 9*l(n). Give x(d(k)).
-k
Let s(g) = g**2 - 3*g + 0*g + 3*g. Let u(w) = 5*w. Let l(t) = -2*t. Let n(j) = 7*l(j) + 3*u(j). What is n(s(a))?
a**2
Let l(t) = -t + 3 + 4*t - 2*t. Let j be l(0). Let o(q) = -j*q**2 + 3*q**2 - 2*q**2. Let m(c) = 2*c**2. Give m(o(x)).
8*x**4
Let z(p) = -55*p. Let a(y) = 7*y. Give a(z(o)).
-385*o
Let y(x) = -10*x**2. Let g(j) = 32*j**2 - 5*j. What is g(y(v))?
3200*v**4 + 50*v**2
Let v(f) be the second derivative of f**4/6 + 6*f. Let i(j) = 9*j**2. Let c(z) = -17*z**2. Let w(m) = 4*c(m) + 7*i(m). What is w(v(h))?
-20*h**4
Let r(s) = 49*s - 2. Let u(i) = -i. What is r(u(v))?
-49*v - 2
Let l(p) = p. Let d(j) = j**2 + 15*j**2 - 4*j**2 - 5*j**2. What is l(d(m))?
7*m**2
Let v(o) = 2*o. Let w(a) = -2*a - 10. Let n(h) = 3*h - 2. Let b(y) = -5*y + 3. Let i(k) = -5*b(k) - 8*n(k). Let j(s) = 10*i(s) + w(s). Give v(j(m)).
16*m
Let f be (-4 + 2 - -92) + -2. Let l(m) = 88 + m - f. Let v(g) = 19*g. What is v(l(a))?
19*a
Let f(k) = -198*k + 8. Let z(a) = a. Determine f(z(s)).
-198*s + 8
Let c = -7 - -7. Let s(a) = a - a - a + c. Let f(g) = -4*g. Let l(y) = -y. Let x(m) = -2*f(m) + 6*l(m). Give s(x(w)).
-2*w
Let c(s) = -13095*s**2 - 2. Let a(u) = -u. Give c(a(y)).
-13095*y**2 - 2
Let q(g) = g**2 - g. Suppose -h - 4*y = -19, 2*h = 2*y + y - 17. Let o(m) = -4*m**2 + 5*m. Let n(d) = h*o(d) - 5*q(d). Let c(i) = 7*i**2. Calculate c(n(v)).
7*v**4
Let l(k) be the first derivative of 0*k + 1/2*k**2 + 2. Let j(x) be the third derivative of -x**5/20 - 10*x**2. Determine j(l(w)).
-3*w**2
Let l(q) = 3*q**2. Let d(h) = h**2 + 22 - 11 - 11. Determine l(d(t)).
3*t**4
Let h(w) = 10*w + 7. Let b(q) = -3*q - 2. Let o(x) = -7*b(x) - 2*h(x). Let z(g) be the second derivative of 3*g**3/2 - 3*g. Determine z(o(j)).
9*j
Let y(c) = -31*c**2 + 16. Let i(m) = -4*m. Determine i(y(u)).
124*u**2 - 64
Let w(t) = -3*t + 5. Let a(x) = -2*x + 2. Let d(h) = -5*a(h) + 2*w(h). Let m(y) = 6*y. Let i(p) = -8*d(p) + 5*m(p). Let b(g) = 0*g + 0*g + 2*g. What is i(b(f))?
-4*f
Let z(m) be the second derivative of -m**3 - 24*m. Let g(c) be the first derivative of c**2 - 1. Calculate g(z(x)).
-12*x
Let t(z) be the third derivative of 0 + 3*z**2 + 0*z**3 - 1/20*z**5 + 0*z + 0*z**4. Let y(a) be the third derivative of a**5/30 + 2*a**2. Determine t(y(g)).
-12*g**4
Let f(z) be the first derivative of -z**2/2 - 23. Let t(j) = -5*j**2. Calculate t(f(x)).
-5*x**2
Let c(r) = 7*r**2. Let g(z) = 0*z + 0*z + z**2 + 2*z**2. Calculate g(c(y)).
147*y**4
Let z(i) = -12*i**2. Let r(f) = -3*f**2 + 8*f - 8. Let m(l) = l**2 - 3*l + 3. Let a(w) = 8*m(w) + 3*r(w). What is a(z(o))?
-144*o**4
Let w(k) = 3*k**2. Let v(j) = -5*j - 6. Let u(s) = 4*s + 5. Let r = -1 + 6. Let i(n) = r*v(n) + 6*u(n). Give w(i(c)).
3*c**2
Let y(v) = -21*v + 16*v - 13*v. Let l(j) = -4*j**2. What is l(y(f))?
-1296*f**2
Let s(p) = -p + 1. Let g(n) = -2*n**2 - 14*n + 14. Let q(z) = 5*g(z) - 70*s(z). Let x(h) = 2*h**2. What is x(q(d))?
200*d**4
Let i(r) = 11*r + 5. Let g(z) = 6*z + 3. Let n(u) = -5*g(u) + 3*i(u). Let v(k) = -2*k**2. Calculate n(v(b)).
-6*b**2
Let r(g) = -42*g. Let b(q) = 12*q. Let f(t) = -18*b(t) - 5*r(t). Let z(p) = 2*p. Give f(z(y)).
-12*y
Let l(n) = -5*n - 1. Let c(r) = r. Give l(c(k)).
-5*k - 1
Let q(o) = o - 6. Let w(v) = v - 5. Let m(j) = 5*q(j) - 6*w(j). Let k(t) be the first derivative of t**2 - 19. What is m(k(x))?
-2*x
Let f(s) = 2*s**2 - 2*s**2 + 3*s**2. Let r(m) = 20 - 3*m - 20. Determine r(f(k)).
-9*k**2