o). Determine a(d(u)).
10*u**2
Let i(a) = -a**2 + 4*a - 3. Let j be i(2). Let v(g) = -1 + 4*g + j + 0*g. Let u(t) = -2*t**2. Calculate u(v(n)).
-32*n**2
Let r(f) = 2*f. Let i(p) be the second derivative of p**4/12 + p**3/6 + p**2/2 - 2*p. Let j(n) = -3*n**2 - 6*n - 6. Let s(y) = 6*i(y) + j(y). Calculate r(s(z)).
6*z**2
Let i = 10 - 9. Let c(p) = -1 - 4*p + 2*p + i. Let l(s) = 2*s. Give c(l(b)).
-4*b
Let t(l) = 9*l. Let b(v) = 19*v. Let n(j) = -6*b(j) + 13*t(j). Let d(m) = 38*m. Determine d(n(f)).
114*f
Let p(g) = g**2. Let x(o) = 2154*o. Give p(x(b)).
4639716*b**2
Let a(f) = -f**2. Let p(j) = j**2 + 344*j. What is a(p(x))?
-x**4 - 688*x**3 - 118336*x**2
Let i(f) = -f**2. Let n(j) = -34*j**2 - 3*j - 3. Let w(p) = -168*p**2 - 14*p - 14. Let g(v) = 14*n(v) - 3*w(v). Give i(g(y)).
-784*y**4
Suppose 3*i + 154 = 4*i. Let j(x) = i*x - 154*x + 2*x**2. Let z(r) = 2*r**2. What is z(j(q))?
8*q**4
Let o(t) = t. Let f(z) be the third derivative of z**5/60 + z**4/8 + z**3/2 - 3*z**2. Let m(y) = y**2 + 4*y + 4. Let p(c) = 4*f(c) - 3*m(c). Calculate o(p(j)).
j**2
Let b(d) be the second derivative of 0*d**2 + 0*d**3 + 0 + 1/12*d**4 + 2*d. Let h(m) = -4*m. Determine h(b(a)).
-4*a**2
Let t(y) = -4*y**2. Let n(m) = -16*m**2. Give t(n(p)).
-1024*p**4
Let v(q) = -10*q. Let b(o) be the third derivative of -7*o**5/60 + 18*o**2. What is b(v(z))?
-700*z**2
Let m(y) = y. Suppose -10 - 5 = -5*f. Suppose f*o - 12 = 3. Let g(k) = -9*k**2 - o*k + 5*k. Determine m(g(w)).
-9*w**2
Let v(w) = w. Let r(y) = -3*y. Suppose -2*k + 3*n - 13 = 0, -2*n - 9 = -5*n. Let t(z) = k*r(z) - 9*v(z). Let i(l) = l**2. Give i(t(u)).
9*u**2
Let y(j) = -j. Let d(o) be the second derivative of 7*o**3/6 - 7*o. What is d(y(q))?
-7*q
Let n(b) = 9 + 6*b**2 - 6 + 2 + 2. Let x(v) = 2*v. Calculate n(x(r)).
24*r**2 + 7
Let q(p) = -2*p**2 - p**2 - p**2. Let u(g) = -2*g. Determine q(u(y)).
-16*y**2
Let o(z) = z. Let f(y) be the second derivative of 1/3*y**4 + 0 + 0*y**2 - 4*y + 0*y**3. Calculate f(o(s)).
4*s**2
Let m(v) = 2*v**2. Suppose -2*x - 18 = 4. Let l = 15 + x. Let o(u) = -2*u - 2*u**2 + l*u**2 + 2*u. Determine m(o(d)).
8*d**4
Let l(x) = -x. Suppose -3*t + 12 = -15. Let w(r) = -r**2 + t*r**2 - 4*r**2. Calculate w(l(v)).
4*v**2
Let u(t) = 16*t**2. Let f(h) = -43*h**2. Determine f(u(s)).
-11008*s**4
Let f(o) = o. Let s(x) = -6*x**2 - 1039*x. Determine f(s(i)).
-6*i**2 - 1039*i
Let p(h) = 773*h**2 - h. Let s(r) = 5*r. Determine s(p(x)).
3865*x**2 - 5*x
Suppose 0 = w + 3*w + 20. Let g = 8 + w. Let p(x) = x - 2*x + g*x - 4*x. Let u(i) = 3*i**2. Determine p(u(f)).
-6*f**2
Let z(p) = 18*p. Let i(u) = -6*u. Let q(m) = 14*i(m) + 5*z(m). Let t(f) be the second derivative of f**3/2 - f. Determine q(t(d)).
18*d
Let z(m) = 7*m**2. Let x(b) = 22*b. Calculate x(z(q)).
154*q**2
Let n(z) be the first derivative of -2/3*z**3 + 0*z**2 + 0*z + 2. Let u(r) be the third derivative of -r**5/30 - r**2. Give n(u(m)).
-8*m**4
Let x(y) = 2*y. Let r(o) = 104*o. Give r(x(q)).
208*q
Let c(z) = 2*z. Let d(o) = -70*o - 33. What is c(d(h))?
-140*h - 66
Let f = 1 - 1. Let i(t) = 4*t + f*t - 2*t. Let j(y) = 5*y - 8*y + y + 4*y. Determine i(j(a)).
4*a
Let f(p) = -26*p**2 + p. Let v(n) = 5*n + 3. Let l(d) = 6*d + 4. Let h(a) = 3*l(a) - 4*v(a). Determine f(h(i)).
-104*i**2 - 2*i
Let t(v) = 6*v**2. Let q(c) be the first derivative of -3*c**2/2 - 4. What is q(t(m))?
-18*m**2
Let f(w) = 14*w. Let d(o) be the third derivative of -o**4/12 - o**2. What is d(f(j))?
-28*j
Let c(b) be the second derivative of -b**4/6 - 13*b. Let w(d) = -30*d. Calculate w(c(j)).
60*j**2
Let r(k) = -192*k**2 - 2*k + 10. Let j(y) = 3*y**2. Calculate r(j(t)).
-1728*t**4 - 6*t**2 + 10
Let r(g) = 2*g. Let i(z) = -907*z. Calculate r(i(t)).
-1814*t
Let v(w) = -w. Let r(j) = -2*j. Let k(s) = s. Let a(g) = -3*k(g) - 2*r(g). Calculate v(a(z)).
-z
Let b(i) = i**2. Let x(j) = -11*j**2 + 1. Give x(b(p)).
-11*p**4 + 1
Let g(y) = 2*y**2 - 10*y + y**2 + 4*y + 3 + 3*y. Let m(x) = -3*x**2 + 2*x - 2. Let f(z) = -2*g(z) - 3*m(z). Let a(t) = t + 3 - 3. What is f(a(s))?
3*s**2
Let n(w) = 2 + 267*w + 268*w - 538*w. Let v(x) = x**2. Determine n(v(d)).
-3*d**2 + 2
Let k(f) = -12*f**2 + 8*f**2 + 3*f**2. Let v(g) = -13*g + 0 + 0. What is v(k(t))?
13*t**2
Let m(r) = -r. Let j(x) = 2*x**2 - 40*x. What is m(j(z))?
-2*z**2 + 40*z
Suppose -3*i - 19 = -z, -3*z = -3*i + 2*i - 17. Let x(q) = 1 + z - 5 + q. Let u(g) be the second derivative of g**4/6 + g. Give x(u(j)).
2*j**2
Let a(k) = 101*k + 0 + 0 - 100*k. Let t(l) = -6*l. Let u(s) = s. Let j(p) = t(p) + 5*u(p). Give a(j(c)).
-c
Let x(n) = 3*n**2. Suppose -19 = -4*a - 3. Suppose 5*f = 4*o + 16, 5 = -a*f - 4*o - 11. Let k(v) = f + 0 - v. Give k(x(w)).
-3*w**2
Let q(a) = -3*a**2. Let f(s) = -2*s**2 - 26. Determine f(q(i)).
-18*i**4 - 26
Let r(w) = -w. Let v(i) = 6470*i + 2. Calculate v(r(j)).
-6470*j + 2
Let x(r) = -r. Let i = 2 - 5. Let k(s) be the first derivative of -s**2/2 + 1. Let p(z) = -z. Let b(y) = i*p(y) + 4*k(y). Calculate b(x(n)).
n
Let q(c) = 2*c**2. Let k(o) = -4*o - 2*o + 3*o. What is k(q(h))?
-6*h**2
Let l(b) be the third derivative of -b**5/10 + 2*b**2. Let q(p) = 2*p. Let c(j) = j. Suppose a = 5*a - 8. Let k(r) = a*q(r) - 5*c(r). What is k(l(v))?
6*v**2
Let k(f) = -f. Let q(n) = n - 2. Let j(o) = o - 3. Let l(g) = 2*j(g) - 3*q(g). Let i(a) = 2*k(a) - 5*l(a). Let m(p) = p + 2*p - p. Determine m(i(h)).
6*h
Let y(q) = 3 + q + 3*q - 8. Suppose -6*u + 3*u = -9. Let d(m) = -m + 1. Let k(v) = u*y(v) + 15*d(v). Let n(h) = -2*h**2. Determine n(k(f)).
-18*f**2
Let f(b) = -38*b. Let d(o) = -o. Determine d(f(u)).
38*u
Let i(o) = 889 - 889 - 6*o**2. Let j(g) = -8*g. Determine i(j(l)).
-384*l**2
Let d(t) = 5*t**2 + 0*t**2 - 6*t**2 + 5*t**2. Let q(y) = y**2. What is d(q(l))?
4*l**4
Let n(s) = -6*s - 5. Let x(q) = -5*q - 4. Let p(l) = -4*n(l) + 5*x(l). Let w(u) be the first derivative of u**3/3 - 1. Give p(w(i)).
-i**2
Let u(o) = 11*o. Let w(p) = 12*p. Let y(g) = 7*u(g) - 6*w(g). Let t(r) = -2*r**2. What is y(t(q))?
-10*q**2
Let z(u) = -5*u. Let g(o) = -6*o**2 + 21. Let j(w) = -w**2 + 4. Let i(p) = 2*g(p) - 11*j(p). Let h(d) be the first derivative of i(d). Determine h(z(v)).
10*v
Let b(r) = -3*r. Let y(x) = 6*x + 4*x**2 - 6*x - x**2. Give y(b(n)).
27*n**2
Let w(f) = -2*f**2. Let r(i) = 107*i**2 - 105*i**2 + 8*i + i. Calculate w(r(v)).
-8*v**4 - 72*v**3 - 162*v**2
Let r(s) = s. Let i(y) = 266*y**2 - y. What is r(i(o))?
266*o**2 - o
Let l(b) = -2*b**2. Let y(o) = -3*o**2 + 5*o. Let x(i) = 4*i**2 - 8*i. Let p = -9 - -4. Let u(j) = p*x(j) - 8*y(j). Give l(u(q)).
-32*q**4
Let k(f) = 2*f. Let n(s) = -174*s + 27. Let u(r) = 25*r - 4. Let m(h) = -4*n(h) - 27*u(h). Determine m(k(i)).
42*i
Let v be (-1)/5 - (-22)/10. Let a(h) be the first derivative of -v + h**2 + h**2 + 0. Let g(q) = q. Calculate g(a(s)).
4*s
Let z(i) = 18*i. Let v(o) = -2*o**2. What is z(v(q))?
-36*q**2
Let w(v) be the first derivative of 0*v + 2 - 5/2*v**2. Let c(j) = j**2. Give w(c(g)).
-5*g**2
Let s(u) = -3*u. Let v(z) = -3*z - 124. Determine v(s(y)).
9*y - 124
Let m(b) = -434*b**2. Let w(r) = 10*r**2. Calculate w(m(g)).
1883560*g**4
Let f(j) = 2*j + 308 - 308. Let g(o) = 9*o**2. Give f(g(w)).
18*w**2
Let t(c) = c. Let j(i) be the second derivative of -1/6*i**3 + 0*i**2 + 0 - 3*i. What is t(j(d))?
-d
Let x(r) = -31*r**2 + 5. Let w(l) = 2*l**2. Calculate w(x(t)).
1922*t**4 - 620*t**2 + 50
Let i(s) be the third derivative of -s**5/60 - 7*s**4/24 - 7*s**3/6 - 3*s**2. Let j be i(-5). Let k(d) = 2*d + 3*d - j*d. Let n(f) = f**2. Calculate n(k(c)).
4*c**2
Let z(i) = -i**2. Let y(r) be the third derivative of -7*r**4/12 + 45*r**2. Calculate y(z(n)).
14*n**2
Let i(x) = x**2 + 5*x. Suppose 2*j = -0*j + 10. Let u(r) = -r. Let m(a) = j*u(a) + i(a). Let y(h) = -5*h**2. Calculate m(y(n)).
25*n**4
Let j(y) = -2*y. Let m(f) be the second derivative of -f**6/720 - f**4/6 - f. Let i(w) be the third derivative of m(w). Calculate i(j(t)).
2*t
Let i(o) = 6*o. Let f(l) = -2*l + 2*l + 0*l - l. Calculate i(f(r)).
-6*r
Let n(g) = -3*g. Let u = 84 - 45. Let m(c) = -6*c + u - 39. What is m(n(x))?
18*x
Let y(g) = 0 + 6 + 2*g - 6. Let j(a) be the first derivative of 5 - a**2 - 4 + 0. Determine y(j(r)).
-4*r
Let l(u) = 103*u - 1. Let z(x) = x. Give l(z(n)).
103*n - 1
Let z(k) = -9*k. Let q(h) = -3*h + 9. Cal