 + 1. Calculate z(k(n)).
12*n**2 + 1
Let t(h) = -2*h**2. Let n(f) be the first derivative of 6*f**2 - 10. Determine t(n(d)).
-288*d**2
Let s(v) = 3*v**2. Let f(p) = p**2 - 17. Calculate s(f(k)).
3*k**4 - 102*k**2 + 867
Let i(p) = -4*p - 67. Let c(w) = 40*w**2. Determine c(i(b)).
640*b**2 + 21440*b + 179560
Let a(l) = 1 - 1 + 3*l - l**2. Let b(n) = -5*n**2 + 13*n. Let x(m) = -26*a(m) + 6*b(m). Let o(p) be the second derivative of -p**3/6 + 34*p. Determine o(x(q)).
4*q**2
Let s(f) = -21*f**2 - 15*f - 15. Let g(l) = -3*l**2 - 2*l - 2. Let m(u) = 15*g(u) - 2*s(u). Let b(k) be the first derivative of 3*k**2/2 - 11. Give b(m(z)).
-9*z**2
Let b(z) be the first derivative of -5*z**2/2 - 2. Let k(d) = -7*d**2. Give k(b(g)).
-175*g**2
Let y(l) be the second derivative of l**4/12 - 2*l - 4. Let b(v) be the second derivative of v**4/12 + v. Give b(y(q)).
q**4
Let u(q) = -12*q. Let j(w) be the second derivative of -w**5/120 + w**3/3 - 3*w. Let o(h) be the second derivative of j(h). Calculate u(o(v)).
12*v
Let l(u) be the third derivative of 0*u**4 - 1/10*u**5 + u**2 + 0*u + 0*u**3 + 0. Let h(c) = 3*c**2. Determine h(l(a)).
108*a**4
Let g(m) = m**2. Let t(j) be the first derivative of -3*j**3 - 1. Determine t(g(h)).
-9*h**4
Let s(t) = -51*t**2. Let d(g) = 2*g. Give s(d(j)).
-204*j**2
Let m be 6/(-2) + (-8 - -11). Let d(o) = 2*o + o + m*o - o. Let z(t) = 2*t. Calculate z(d(n)).
4*n
Let w(r) be the first derivative of r**2/2 - 1. Suppose -4*v + 8*y + 25 = 3*y, -3*v - 25 = 5*y. Let q(k) = -k + v*k + k - k. Give w(q(u)).
-u
Let b(h) = -6*h**2. Let g = 9 + -1. Let q(p) = g*p - 8*p + 2*p**2. Determine q(b(x)).
72*x**4
Let v(o) = 5*o**2. Let q(j) = -2*j + 135. Determine q(v(g)).
-10*g**2 + 135
Let z(l) be the first derivative of -l**5/10 + 3*l**2 - 2. Let v(w) be the second derivative of z(w). Let g(x) = -2*x. Give v(g(u)).
-24*u**2
Let l(c) = -c**2. Let t = 113 - 113. Let d(f) be the second derivative of f - 1/6*f**4 + 0 + t*f**2 + 0*f**3. Calculate l(d(y)).
-4*y**4
Let h(x) = 3*x**2. Let d(i) be the third derivative of -i**6/720 - i**4/24 + i**2. Let r(s) be the second derivative of d(s). What is r(h(v))?
-3*v**2
Let r(k) = 3*k. Let g(c) = 16*c. Let q(h) = -2*g(h) + 11*r(h). Let m(u) = 21*u. Give q(m(v)).
21*v
Let m(j) = 2*j**2. Let c(f) = -480*f**2. What is m(c(u))?
460800*u**4
Let w(p) be the second derivative of -p**3/2 + 31*p. Let d(j) = 5*j. Determine d(w(v)).
-15*v
Let k(h) be the first derivative of -2*h**3 + 5. Let r(x) = -4*x. What is k(r(l))?
-96*l**2
Let k(m) = m - 32. Let t(i) = -32*i**2. Give t(k(z)).
-32*z**2 + 2048*z - 32768
Let l(y) = -2*y. Let w(k) = -279*k**2. Determine l(w(f)).
558*f**2
Let t be 9/36 - (-7)/4. Let m(p) = -p - p**t + 2*p**2 + p. Let i(d) = 10*d. What is i(m(v))?
10*v**2
Let h(n) = -6*n + 5. Let f(s) = -11*s + 11. Let y(d) = 5*f(d) - 11*h(d). Let o(k) be the first derivative of k**2 - 2. Calculate o(y(z)).
22*z
Let i(n) = 15*n. Let d(s) = -3*s**2. What is d(i(t))?
-675*t**2
Let g(q) be the third derivative of 0*q + 1/20*q**5 + 0*q**3 + 0*q**4 - 2*q**2 + 0. Let x(d) be the first derivative of d**2 + 1. What is x(g(i))?
6*i**2
Let p(c) = -c**2 - 8*c. Let t(v) = 6*v. What is p(t(h))?
-36*h**2 - 48*h
Let g(c) be the first derivative of -c**3/3 - 2. Let v(q) = 4*q**2 - 5*q - 5. Let y(n) = n**2 - n - 1. Let w(j) = v(j) - 5*y(j). What is g(w(p))?
-p**4
Let r(l) be the third derivative of -4*l**5/15 + 11*l**2. Let i(w) = -2*w + 2*w - 5*w + 4*w. Determine r(i(m)).
-16*m**2
Let i(u) = -2*u**2. Let n(h) be the first derivative of -2/3*h**3 + 0*h**2 + 5 + 0*h. Give i(n(w)).
-8*w**4
Let y(f) = f**3 - 5*f**2 - 6*f + 2. Let g be y(6). Let x(u) = -8*u**2 - 3*u**2 + 10*u**g. Let w(c) = 4*c**2. Determine w(x(k)).
4*k**4
Let a(t) = -5*t**2. Suppose -3 = 4*s - 4*k + k, 5*k - 5 = -s. Let b(m) = -m + s*m - m + 3*m. Calculate b(a(r)).
-5*r**2
Suppose -3*q + 0*q = -249. Let p(a) = 0 - 81*a + q*a + 0. Let y(i) = -i - i + 5*i. Determine p(y(k)).
6*k
Let v(i) = -i. Suppose o + q - 3 = -o, -3*q - 2 = -5*o. Let f(z) be the first derivative of o - 1/2*z**2 + 0*z. Determine v(f(x)).
x
Let q = 4 + -2. Let s(f) = -f**2 - 2 + q - f**2. Let x(z) = 5*z**2 + 3*z + 3. Let n(h) = h**2 + h + 1. Let l(i) = -3*n(i) + x(i). Calculate l(s(v)).
8*v**4
Suppose -a - 3*a + 8 = 0. Let k(o) = -2*o**a - o + 0*o + o. Let c(n) = n**2. Determine k(c(w)).
-2*w**4
Let p(v) = -11*v**2. Let w(c) = 5*c**2 + 6*c + 6. Let x(s) = -9*s**2 - 11*s - 11. Let h(f) = -11*w(f) - 6*x(f). Calculate h(p(k)).
-121*k**4
Let r(a) = -8*a**2 - 6*a + 6. Let w(g) = -12*g**2 - 9*g**2 + 13 + 8*g**2 - 4*g**2 - 13*g. Let s(i) = 13*r(i) - 6*w(i). Let h(n) = -n**2. What is s(h(u))?
-2*u**4
Let g be 2/(-5) - 24/(-10). Let q(z) = z**2 - 2*z. Let a be q(g). Let y(k) = a*k + 0*k - k. Let l(u) = -2*u**2. Calculate l(y(j)).
-2*j**2
Let q(h) = 733 - 7*h**2 - 733. Let b(f) = 2*f**2 + 7*f - 7. Let k(d) = -d**2 - 3*d + 3. Let w(c) = 6*b(c) + 14*k(c). What is q(w(x))?
-28*x**4
Let i(r) be the third derivative of -r**4/8 - 16*r**2 - 3. Let b(y) = -7*y**2. What is i(b(g))?
21*g**2
Let r(a) = -a - 2*a + 2*a. Let f(g) = 28*g**2 + 5. Let d(b) = 42*b**2 + 7. Let y(v) = 5*d(v) - 7*f(v). What is r(y(q))?
-14*q**2
Let k(j) = -3*j**2. Let i(a) = 2*a**2 + 2343. Give i(k(q)).
18*q**4 + 2343
Let y(u) = -295*u. Let b(x) = -8*x**2. Calculate b(y(a)).
-696200*a**2
Let b(u) = -11*u. Let g(k) = 5*k. Suppose -3*v = -5*q + 22 + 5, -3*q + 4*v + 14 = 0. Let r(c) = q*b(c) + 13*g(c). Let z(d) = 4*d. Give r(z(y)).
-4*y
Let u(d) = -d**3 + 5*d**2 + 2. Let h be -1*((-1 - 4) + 0). Let j be u(h). Let f(k) = -j*k + k + 0*k. Let z(b) = -b. Give f(z(t)).
t
Let a(t) = -t**2 + 5. Let s(j) = 1. Let r(g) = -3*g - 1. Let q be r(-1). Let o(k) = q*a(k) - 10*s(k). Let p(f) = -2*f**2. Determine p(o(w)).
-8*w**4
Let c(m) be the first derivative of 3*m**2 + 0*m - 1/3*m**3 - 2. Let k(b) = b. Let i(q) = c(q) - 6*k(q). Let o(r) = -2*r**2. Give i(o(y)).
-4*y**4
Let j(u) be the second derivative of 0*u**2 + 0 + 1/6*u**3 - u. Let w(a) = 2*a. Determine j(w(i)).
2*i
Let v(m) = 4*m**2 + 3. Let z(k) = -3*k**2 - 4. Let p(x) = -4*v(x) - 3*z(x). Let w(o) = o. Give w(p(s)).
-7*s**2
Let f(t) = -2*t**2. Let z(p) be the third derivative of 0 - p**2 + 0*p**3 + 13/24*p**4 + 0*p. Calculate z(f(m)).
-26*m**2
Let b(d) = 14*d. Let u(k) = 42*k**2. Determine b(u(m)).
588*m**2
Let l(d) = -11*d**2. Suppose -8*v = -9*v + 2. Let s(g) = -6*g**2 + 16*g**v - 9*g**2. Determine s(l(x)).
121*x**4
Let q(r) = -r**2 + 5*r - 3. Let p be q(4). Let o = 2 + p. Let n(i) = -i + 2*i - o*i. Let k(g) = 2*g**2. What is k(n(u))?
8*u**2
Let u(n) be the first derivative of n**3 + 12. Let q(d) = -2*d**2. Calculate u(q(c)).
12*c**4
Let v(z) = -2*z**2. Let q = 0 + 6. Let k = q - 4. Let d(o) = o + k - 2. What is v(d(x))?
-2*x**2
Let d(r) = -19*r. Let j(t) = 4*t**2 - 31*t. Calculate j(d(b)).
1444*b**2 + 589*b
Let a(q) = q. Let m(t) = -233*t. What is m(a(j))?
-233*j
Let x(u) = -15*u. Let v(t) = -4*t**2 - 11*t. Determine v(x(o)).
-900*o**2 + 165*o
Let x(i) = 7*i. Let p(h) = -44*h**2. Determine p(x(u)).
-2156*u**2
Let f(j) be the third derivative of j**5/20 - 13*j**2. Let p be 3/5 + (-4)/(-10). Let i(n) = p - 1 + n. Determine i(f(c)).
3*c**2
Let j(n) = 4*n**2. Let l be (-5)/4 - (-2)/8. Let o(y) = 6*y + 5. Let w(d) = -d - 1. Let a(r) = l*o(r) - 5*w(r). Calculate j(a(b)).
4*b**2
Let k(s) = 6*s**2 + 3*s - 3. Let l(z) = 18*z**2 + 8*z - 8. Let q(d) = 8*k(d) - 3*l(d). Let r(i) be the first derivative of -i**3/3 - 1. What is r(q(x))?
-36*x**4
Let o(t) = -25*t + 387. Let d(y) = y. Give d(o(p)).
-25*p + 387
Let w(c) = c**2. Let d(u) = 12*u + 15*u + 3*u - 6*u - 1. Determine w(d(o)).
576*o**2 - 48*o + 1
Let x(g) = 2*g**2. Let m(q) = -10*q**2 - 10*q + 10*q + 0*q. Determine m(x(c)).
-40*c**4
Let f(p) = -2*p**2. Let s(c) = -18*c**2 + 7*c. Let a(y) = -12*y**2 + 5*y. Let m(w) = -7*a(w) + 5*s(w). What is f(m(v))?
-72*v**4
Let n(q) = -2*q**2. Let b(j) = j**2 + 2*j + 13. Let m(d) = -4*d**2 - 9*d - 52. Let f(o) = 9*b(o) + 2*m(o). What is n(f(t))?
-2*t**4 - 52*t**2 - 338
Let f(p) be the second derivative of 13*p**3/6 - 7*p. Let c(w) = -w**2. Determine f(c(v)).
-13*v**2
Let a(f) = 3*f. Let g(x) = -5*x + 6. Let p be ((-30)/5)/(0 - -1). Let k(l) = 6*l - 7. Let c be 0 + 1*(2 + -9). Let w(d) = c*g(d) + p*k(d). What is a(w(t))?
-3*t
Let s(p) = -