rd derivative of 0*t**3 + 0*t - 1/24*t**4 + 2*t**2 + 0. Let a(s) = -6*s**2. Calculate a(f(b)).
-6*b**2
Let l(s) = 3*s + 6*s**2 - 3*s - 4*s**2. Let h(p) = 49*p**2. Calculate h(l(n)).
196*n**4
Let q(z) be the second derivative of z**3/6 - 5*z. Let m(v) = -4*v**2. Give m(q(r)).
-4*r**2
Let z(k) be the second derivative of -k**3/6 + 11*k. Let v(u) = 13*u. Determine z(v(m)).
-13*m
Let u(p) = -9234*p**2. Let z(g) = -2*g**2. What is z(u(k))?
-170533512*k**4
Let l(y) = -2*y + 3. Let k(z) = -3*z + 5. Let u(o) = 3*k(o) - 5*l(o). Let x = 2 + 0. Let a(d) = -2*d**2 - d**x - 2*d**2 + 2*d**2. What is u(a(r))?
-3*r**2
Let b(j) be the third derivative of -j**4/12 - 33*j**2. Let w(h) = 14*h**2. What is w(b(x))?
56*x**2
Let x(y) = 3 - 6*y - 3 + 5*y. Let b(z) = -z. Give b(x(j)).
j
Let z(d) = 4*d**2. Let f(w) = -14*w**2. Let s(q) = -15*q**2. Let g(x) = 7*f(x) - 6*s(x). What is z(g(y))?
256*y**4
Suppose 3*p = p - 2, -2*l = -2*p - 12. Let w be 12*(-1 - 1)/(-6). Let n(u) = l + w*u - 5. Let j(f) = f**2. Calculate j(n(k)).
16*k**2
Let d(l) = 3*l**2. Let w(x) = 2*x. Let j(y) be the first derivative of -y**2/2 + 3. Let c(u) = 5*j(u) + w(u). Give d(c(k)).
27*k**2
Let c(m) = -3*m - 5. Let w(f) = -5*f - 8. Let z(n) = 8*c(n) - 5*w(n). Let y(b) = 3*b. Determine y(z(o)).
3*o
Let f(y) be the second derivative of y**4/24 - y**2/2 - 3*y. Let r(x) be the first derivative of f(x). Let w(c) = -c. What is r(w(n))?
-n
Suppose 0 = 4*f - 8 - 0. Let r(j) = 16*j - 3 - 16*j + 1 - 3*j**2. Let c(g) = -7*g**2 - 5. Let v(t) = f*c(t) - 5*r(t). Let n(i) = -2*i**2. What is v(n(x))?
4*x**4
Let b(g) = 3*g**2. Suppose -2*i + 0 = 5*h - 7, 0 = -2*i - h + 3. Let x(n) be the first derivative of -1 + 0*n**2 - n**2 - i. Give x(b(y)).
-6*y**2
Let a(d) = d - 4*d + 2*d. Let y(q) = 2*q**2 - 12*q**2 + 10*q**2 + 6*q**2. Give a(y(t)).
-6*t**2
Let g(q) = -q**2. Let a(d) = 11*d**2 + 4*d. What is a(g(f))?
11*f**4 - 4*f**2
Let w(a) = -a**2. Let s(h) = -h**3 - 3*h**2 + h + 1. Let j be s(-3). Let v = 0 - j. Let m(y) = v*y**2 - y**2 - 2*y**2. Give w(m(l)).
-l**4
Let m(q) = -2*q. Let j(s) = -4*s**2 + s - 1. Let v(a) = -a**2 - a + 1. Let y(p) = -j(p) - v(p). What is m(y(o))?
-10*o**2
Let u(f) be the first derivative of -f**2/2 - 13. Let q(j) = -j - 1 + 1. Calculate u(q(r)).
r
Let j(k) = 5*k. Let o(s) = 1. Let p(u) = -7*u - 3. Let n(r) = -3*o(r) - p(r). Calculate j(n(q)).
35*q
Let h(m) = -4*m**2. Let p(w) = -64*w**2. Calculate p(h(x)).
-1024*x**4
Let l(n) = 5*n**2. Let i(t) = -2*t**2 - 79. Calculate i(l(w)).
-50*w**4 - 79
Let v(d) be the third derivative of 0*d**3 + 1/60*d**5 + 0*d**4 - 3*d**2 + 0*d + 0. Let o(y) = -y. Calculate v(o(h)).
h**2
Let z(l) be the third derivative of l**5/60 + l**2. Let s(m) = 2*m**2. Determine z(s(a)).
4*a**4
Let i(m) = 3*m + 5. Let u(q) = -5*q - 8. Let o(w) = 8*i(w) + 5*u(w). Suppose -4*j - 3*l + 2*l = 1, 0 = 2*j + l + 3. Let a(g) = 1 - 2*g**2 - j. What is a(o(s))?
-2*s**2
Let v(s) = 0 - s + 0. Let b(a) = -5*a + 5. Let c(i) = -3*i + 2. Let p(n) = 2*b(n) - 5*c(n). What is p(v(d))?
-5*d
Let m(p) = -13*p. Let u(f) = -5*f**2. Calculate m(u(q)).
65*q**2
Let h(m) = -6*m - 2*m + 6*m - m. Let x(t) = -8*t**2 - 5*t + 5. Let k(n) = -4*n**2 - 3*n + 3. Let j(z) = 5*k(z) - 3*x(z). Calculate j(h(u)).
36*u**2
Let z(m) = -2*m. Let n(x) = -1825*x**2. Determine n(z(s)).
-7300*s**2
Let i(g) = 4*g**2. Let y(l) be the second derivative of -l**3/6 - 3*l. Determine i(y(j)).
4*j**2
Let q(x) = -2*x**2. Let l(u) = 11348*u. Determine l(q(y)).
-22696*y**2
Let z(w) be the first derivative of 3*w**2 - 1. Let i(t) be the third derivative of t**4/12 - 2*t**2 - 18. Calculate i(z(r)).
12*r
Let n(z) be the third derivative of -z**4/24 + 16*z**2. Let q(i) = 43*i. What is n(q(s))?
-43*s
Let g(v) = 4 + 7*v - 4 - 8*v. Let i(o) = -4*o. Calculate g(i(d)).
4*d
Let d(f) = 5*f. Suppose 0 = -2*g - 0*g. Suppose -m + 2 + 0 = g. Let n(w) = 0*w + 2*w - m*w + w. Give d(n(u)).
5*u
Let z(i) = 4*i**2. Let q(j) = -21*j. What is z(q(r))?
1764*r**2
Let m(y) = 4*y. Let o(s) = -14*s**2 - 7*s. Let w(t) = 13*t**2 + 6*t. Let u(h) = 6*o(h) + 7*w(h). Calculate u(m(v)).
112*v**2
Let c(a) be the first derivative of 2*a**3/3 + 7. Let h(v) = 6*v. Give c(h(y)).
72*y**2
Let o(z) = -2*z. Let j(x) = -127*x - 42 - 40 + 82. Calculate o(j(y)).
254*y
Let a(d) = -2*d**2. Let i(q) = -2*q**2 + 10*q - 6. Let h be i(4). Let j(o) = -4*o**2 + 0*o**2 + 3*o**2 + 0*o**h. Give j(a(t)).
-4*t**4
Let x(d) = -35*d - 7. Let q(b) = 12*b + 2. Let s(a) = 7*q(a) + 2*x(a). Let l(m) be the first derivative of m**2/2 + 38. Give l(s(r)).
14*r
Let d(n) = -9*n**2. Let x(j) = 4*j + 5. Let k(y) = 1. Let v(z) = -5*k(z) + x(z). What is v(d(i))?
-36*i**2
Let o(r) = -6*r. Let g(d) = 5*d. Let l(s) = -s. Let c(k) = -g(k) - 6*l(k). Determine o(c(z)).
-6*z
Let g(x) = 2*x. Let b(f) = -4*f**2 + 0*f**2 + 112*f - 112*f. What is b(g(k))?
-16*k**2
Let r(k) = 4*k. Let p(m) = -6623*m. Determine p(r(t)).
-26492*t
Let q(w) = -7*w**2 + w. Let n(t) = -t**2. What is n(q(s))?
-49*s**4 + 14*s**3 - s**2
Let p(s) = -3*s. Let i(t) be the first derivative of 3*t**3 + 30. Calculate p(i(x)).
-27*x**2
Let r(k) be the second derivative of k**4/4 + 6*k. Let m(g) = -4*g**2. Give r(m(c)).
48*c**4
Suppose -5*k + 20 = 0, -2*s + 0*k - 16 = -4*k. Let a(i) = -1 + s + 1 + i. Let w(h) = 2*h**2. What is a(w(l))?
2*l**2
Let w(a) = -3*a. Let j(i) = -10 - 101*i**2 + 10 + 96*i**2. Calculate w(j(o)).
15*o**2
Let r(u) = -10*u**2 - 7*u. Let j be 27/4 + 1/4. Let a(y) = -3*y**2 - 2*y. Let z(f) = j*a(f) - 2*r(f). Let n(p) = 0*p**2 + 4*p**2 - 2*p**2. Calculate n(z(w)).
2*w**4
Suppose -2*f = s - 5, 5*s = -f - 0*s - 20. Let n(w) = -2*w + f*w - 4*w. Let d(y) = 2*y. What is d(n(t))?
-2*t
Let d(y) = -2*y. Let f(v) = 146*v**2. Calculate d(f(c)).
-292*c**2
Let x(f) be the third derivative of 0*f**3 - 1/20*f**5 + 0 + 0*f**4 - 10*f**2 + 0*f. Let w(u) = u. Calculate x(w(p)).
-3*p**2
Let r(o) = o. Let n(z) be the third derivative of -2*z**2 + 0*z + 0*z**3 + 0 - 1/24*z**4. Calculate r(n(q)).
-q
Let q(l) = l + 3987. Let x(i) = -2*i. Give q(x(a)).
-2*a + 3987
Let b(k) = 2*k - 422. Let o(s) = 2*s. Calculate o(b(n)).
4*n - 844
Let q(c) be the third derivative of c**5/30 - c**2. Let f(x) = x**2 + 5*x + 2. Let a be f(-5). Let g(b) = -3*b**2 + 15*b**2 - 11*b**a. What is q(g(o))?
2*o**4
Let a(h) = 2 - 2 + 2*h**2. Let x(n) = -13 + n + 13 - 4*n. Calculate x(a(v)).
-6*v**2
Let r(o) = o**2. Let y(i) = 2*i**2 + 5. What is r(y(w))?
4*w**4 + 20*w**2 + 25
Let i(l) = -4*l**2. Let r = 0 + 2. Let x(k) = -2*k - 2. Let w be x(-2). Let p(f) = -w + f + r. Determine i(p(t)).
-4*t**2
Let f(g) = 4*g. Let t(q) = -2*q - 29. Give t(f(i)).
-8*i - 29
Let u(k) = k**2 - 7. Let r(h) = -6*h. What is r(u(j))?
-6*j**2 + 42
Let z(p) = -p - 1. Let w(x) = 5*x + 6. Let v(m) = w(m) + 6*z(m). Let k(t) be the first derivative of -1/3*t**3 + 2 + 0*t**2 + 0*t. What is k(v(i))?
-i**2
Let f(g) = 565*g. Let x(a) = -a. Calculate x(f(u)).
-565*u
Let j(c) = 5*c**2. Let a(o) be the third derivative of 0*o + 0*o**4 - 2*o**2 - 1/30*o**5 + 0*o**3 + 0. Give j(a(q)).
20*q**4
Let u(v) = 8*v**2. Let l(d) = -34*d + 18*d + 18*d. Determine l(u(z)).
16*z**2
Let f(n) = n - 1140. Let a(r) = -r**2. What is f(a(u))?
-u**2 - 1140
Let n(w) = -2*w. Let h(c) = -2*c + 6*c + 4*c. Calculate h(n(p)).
-16*p
Let m(x) = -2*x + 2. Let y(d) = -d**2 + 9*d - 9. Let p(o) = 9*m(o) + 2*y(o). Let z(r) = 4*r. Calculate p(z(a)).
-32*a**2
Let m(d) = -5*d**2. Let n(o) = 2*o + 0*o + 0*o - o. Calculate m(n(t)).
-5*t**2
Let s(x) = -2*x - 18*x**2 + 3*x - x**2 + 46*x**2. Let i(d) = d. Calculate i(s(h)).
27*h**2 + h
Let o(h) = 4*h**2. Let k(d) = -10*d**2 - 6*d. What is o(k(c))?
400*c**4 + 480*c**3 + 144*c**2
Let h(j) = 2*j. Suppose 5 - 4 = m. Let n(y) = -m + 13*y**2 - 6*y**2 + 1. Calculate h(n(w)).
14*w**2
Let g(o) = -3*o + 2*o + o - 9*o**2. Let d(p) = -2*p. What is g(d(w))?
-36*w**2
Let s(k) = 3*k. Let r(i) = -2*i. Determine r(s(v)).
-6*v
Let w(q) = -861*q**2. Let f(n) = -3*n. What is w(f(p))?
-7749*p**2
Let k(y) be the second derivative of 0*y**3 + 0*y**2 + 1/4*y**4 + 2*y + 0. Let v(z) = -2*z. What is v(k(b))?
-6*b**2
Let u(n) = -1. Let g(p) = 3*p**2 + 4*p + 4. Let z(t) = -g(t) - 4*u(t). Let o(l) = 3*l**2 + 3*l. Let j(q) = -4*o(q) - 3*z(q). Let m(b) = 2*b. Give m(j(d)).
-6*d**2
Let u(l) = l. Let b(g) be the first derivative of -8*g**3/3 - 3. What