1*a
Let r(b) be the second derivative of 1/2*b**2 + 0 - 4*b + 0*b**3 + 1/8*b**4. Let n(l) be the first derivative of r(l). Let c(s) = 2*s. Determine c(n(d)).
6*d
Let n(s) = 2*s**2. Let y = -5 + 1. Let w = 4 + y. Let a(r) = w*r + r + r**2 - r. Give a(n(z)).
4*z**4
Let h(l) = -3*l. Let v(c) be the second derivative of -1/2*c**3 + c + 0*c**2 + 0. Give h(v(b)).
9*b
Let v(d) = -3*d + 11*d - 6*d**2 - 6 - 2. Let c(h) = 2*h**2 - 3*h + 3. Let b(x) = -8*c(x) - 3*v(x). Let f(s) = 3*s**2. Determine b(f(o)).
18*o**4
Let g(y) = y**2 - y**2 + 2*y**2. Let n(t) = -38 + 38 - t. Let k(l) = -2*l. Let f(a) = k(a) - 3*n(a). Calculate f(g(z)).
2*z**2
Let b(l) = 0*l**2 + 2*l**2 - 3*l**2. Let k(p) be the first derivative of 2*p**2 + 1. Determine k(b(c)).
-4*c**2
Let s(c) be the first derivative of 4*c**2 - 6. Let y(w) = w. Let g(i) = 2*i. Let l(t) = 2*g(t) - 3*y(t). Calculate l(s(h)).
8*h
Let y(h) = 3*h + h - 2 + 2. Let o(l) = l + 27 - 27. Give o(y(w)).
4*w
Let z(b) = -b**2 + 6*b + 9. Let v be z(7). Let o(u) = -11*u**2 + 4*u**v + 4*u**2. Let y(r) = -r**2 - r + r. Calculate o(y(i)).
-3*i**4
Let x(v) = -11*v**2 + 15*v**2 - 5*v**2. Let d(h) be the second derivative of h**5/60 - h**3/6 + h. Let r(o) be the second derivative of d(o). What is x(r(y))?
-4*y**2
Let j(x) = 2*x. Let l(o) = -588*o**2. Determine l(j(z)).
-2352*z**2
Let z(p) = -2*p. Let a(j) = -2*j + 241. Give z(a(t)).
4*t - 482
Let m(k) = 2*k. Let j(o) = -o**3 + 3*o**2 + 2. Suppose -2 = 2*y - 4*z, 5*y + 2*z - 13 = 2*y. Let n be j(y). Let r(f) = -n*f**2 - 4*f + 4*f. Give m(r(d)).
-4*d**2
Let v(l) = l + 1. Let d(b) = -4*b - 3. Let r(c) = -2*d(c) - 6*v(c). Let g(n) = -2*n + 3*n - 4*n + 5*n. Determine g(r(j)).
4*j
Let y(b) = -6*b**2. Let w(z) be the third derivative of -z**5/30 + 5*z**2. Let f(j) = -2*j**2. Let d(p) = -f(p) + 2*w(p). Give y(d(x)).
-24*x**4
Let h(l) be the first derivative of -l**2 - 18. Let v(p) = 2*p**2 - 24*p. Determine v(h(m)).
8*m**2 + 48*m
Let d(j) = 3*j**2 - 128. Let b(r) = -2*r**2. Calculate d(b(l)).
12*l**4 - 128
Let x(f) = 2*f**2. Suppose -3*t = -14 + 5. Let r(p) = 0*p + p + t*p - 2*p. Calculate r(x(l)).
4*l**2
Let c(u) = 6*u - 4*u - 4*u. Let m(o) be the second derivative of o**3/2 + 39*o - 3. Determine m(c(x)).
-6*x
Let f(n) = 2*n**2. Let s(l) = -3*l. Let k(h) = 11*h. Let w(o) = -2*k(o) - 9*s(o). What is w(f(d))?
10*d**2
Let s(d) = 4*d**2. Let r(u) = -u - 1. Let o(n) = -n - 1 + 7 + 9*n. Let h(k) = o(k) + 6*r(k). Give h(s(i)).
8*i**2
Let c(d) = -d**2. Let a = -2/81 + 85/162. Let x(w) be the first derivative of 0*w + 1 - a*w**2. What is c(x(b))?
-b**2
Let w(f) = 36*f - 49*f - 16*f. Let r(j) = 3*j. What is w(r(k))?
-87*k
Let d(a) be the second derivative of -a**4/12 + 19*a. Let v(m) = -2*m**2 - 6*m. Determine v(d(t)).
-2*t**4 + 6*t**2
Let b(u) = -5*u**2 + 2*u**2 + 5*u**2 + 0*u**2. Let o(x) = 10*x**2. Calculate o(b(v)).
40*v**4
Let w(a) = 18*a - a - 11*a. Let u(t) = -9*t**2. Give w(u(q)).
-54*q**2
Let l(y) = 11*y. Let p(z) = -3*z**2 - 11*z. What is l(p(a))?
-33*a**2 - 121*a
Let k(a) = -4*a**2. Let f(n) = 17 + 0*n**2 - n**2 - 17. What is k(f(s))?
-4*s**4
Let x(t) = 59*t + 13. Let j(w) = -29*w - 6. Let m(r) = -13*j(r) - 6*x(r). Let n(h) = -2*h. Give n(m(k)).
-46*k
Let y(h) = h**2 - 4*h + 4. Let q(w) = 6*w**2 - 27*w + 27. Let c(i) = -4*q(i) + 27*y(i). Let o(d) = 9*d**2. Determine o(c(b)).
81*b**4
Let d(k) = 4*k**2 + 205 - 7*k**2 - 206. Let q(b) = -2*b**2. Determine d(q(p)).
-12*p**4 - 1
Let x(l) = -11*l. Let p(t) = 4*t + 3. Let c(k) = -23*k - 17. Let n(f) = 6*c(f) + 34*p(f). Calculate n(x(j)).
22*j
Let o(v) = -v + 1. Let r(i) = -i**2 + 2*i - 2. Let d(c) = -2*o(c) - r(c). Let z(p) = 27*p. Calculate z(d(h)).
27*h**2
Let z(s) = -2*s. Let y(a) = -15*a**2 + 20*a**2 + 16*a**2. What is z(y(n))?
-42*n**2
Let x(w) = 2*w. Let j(q) = q + 11. Let u(n) = 6 + 1 - 8 + 2. Let m(s) = 2*j(s) - 22*u(s). Give x(m(y)).
4*y
Let y(u) = -134*u. Let c(m) = -2*m**2. Calculate c(y(t)).
-35912*t**2
Let g(r) = -2*r. Suppose -3*d + 1 = 2*i, 0*d + 3*i + 15 = d. Let b(z) be the first derivative of d - 1/2*z**2 + 0*z. Give b(g(x)).
2*x
Let x(d) = 4*d. Let t(l) = -53*l - 1. Calculate t(x(f)).
-212*f - 1
Let n(t) = -t**2. Let f(p) be the third derivative of -p**8/2240 + p**5/15 - p**2. Let r(l) be the third derivative of f(l). Give r(n(c)).
-9*c**4
Let a(l) = -2318*l. Let h(t) = -2*t. Give h(a(n)).
4636*n
Let b(n) = 2*n. Let a(z) = -8*z + 233 - 233. Determine a(b(h)).
-16*h
Let c(f) = -3*f. Let j(x) be the second derivative of -x**5/30 + x**2/2 - x. Let t(a) be the first derivative of j(a). Determine c(t(d)).
6*d**2
Let i(p) = 3*p. Let w(s) be the second derivative of -1/6*s**4 + 0*s**3 + 0 - 7*s + 0*s**2. Determine i(w(v)).
-6*v**2
Let y(f) = 3*f**2 - 5*f**2 + f**2. Let o(r) = -5*r. Determine y(o(i)).
-25*i**2
Let f(p) = -p**2. Let z(y) = -6*y**2 + 0*y**2 - 3*y**2 + 0*y**2. Give f(z(w)).
-81*w**4
Let k(u) = -26 + 3*u**2 - u**2 + 26. Let g(r) be the second derivative of r**4/12 + 2*r. Give k(g(b)).
2*b**4
Let b(c) = -3*c**2. Let l(r) = 0*r - 1 + 3*r - 3. Let y = -4 + 5. Let i(f) = -f + 1. Let q(s) = y*l(s) + 4*i(s). Give b(q(j)).
-3*j**2
Let o(c) = -4*c. Let m(s) = -2*s**2 - 11. Give o(m(y)).
8*y**2 + 44
Let l(b) = -2*b**2. Let z(i) = -2*i + 0*i - 2*i. What is z(l(j))?
8*j**2
Let m(l) = -2*l. Let o(s) = 3486*s. Calculate o(m(t)).
-6972*t
Let a(f) = -f**2. Suppose 0 = -5*o - 4*m - 2 - 0, -5*o - 5*m = 5. Let k(y) = y + 2. Let t be k(o). Let j(s) = -5*s + 2*s + t*s. Calculate j(a(w)).
-w**2
Let v(t) be the first derivative of -t**2 - 1. Let u(s) = -21*s. Give v(u(n)).
42*n
Let k(s) = 6*s - 3. Let z(g) = -5*g + 2. Let t(c) = 2*k(c) + 3*z(c). Let f(r) = 9*r. Calculate f(t(m)).
-27*m
Let o(v) = 2*v + 3. Let z(u) = 2*u**2 + 16*u - 16*u. Give o(z(n)).
4*n**2 + 3
Let l(m) = -10*m. Let y(o) = 2*o. Let k(r) = -2*l(r) - 11*y(r). Let s(z) = -z. Calculate s(k(c)).
2*c
Let n(j) be the second derivative of -3*j + 0 - 1/6*j**3 + 0*j**2. Let p(r) = r. Give p(n(w)).
-w
Let y(x) = 4*x - 1. Let s be y(2). Let i(b) = 0*b + s*b - 9*b. Let n(c) = -2*c - 2 + 2. Calculate i(n(t)).
4*t
Let p(w) be the third derivative of w**4/6 - 27*w**2. Let v(z) = 4*z**2. Give v(p(j)).
64*j**2
Let f(b) = -395*b. Let y(x) = -5*x**2. What is f(y(z))?
1975*z**2
Let n(y) = -26*y - 9. Let v(l) = 5*l**2. Calculate v(n(o)).
3380*o**2 + 2340*o + 405
Let b(f) = f**2. Let z(v) = -121*v. Calculate z(b(i)).
-121*i**2
Let n(a) = 2*a**2 + 0*a**2 - a**2. Let v(u) be the third derivative of -u**5/60 + 17*u**2. Calculate n(v(d)).
d**4
Let u(d) be the first derivative of 2*d**3 - 124. Let i(k) = -2*k - k + 4*k. Calculate i(u(x)).
6*x**2
Let n(f) = 18*f. Let a(s) = s**2 + 14506*s - 14506*s. Give n(a(m)).
18*m**2
Let z(i) = -154*i**2 + 2*i. Let t(o) = 5*o. Calculate t(z(s)).
-770*s**2 + 10*s
Let i(m) = -m**2 - 69*m + 69*m. Let s(q) = -2*q. What is i(s(f))?
-4*f**2
Let t(s) = 22*s. Let z(m) = -2*m. Let v be (-42)/(1/2 + 1). Let p(x) = v*z(x) - 2*t(x). Let w(h) = -h. What is p(w(o))?
-12*o
Let v(m) = m - 1522 + 1522. Let t be -3*2/(-2)*1. Let g(a) = 3 - t*a**2 - 3. What is v(g(h))?
-3*h**2
Let l(k) = 4*k**2. Let y(i) be the third derivative of 0*i + 0 + 0*i**3 + i**2 - 1/12*i**4. What is y(l(j))?
-8*j**2
Let l(s) = 2*s - 5*s + 2*s. Let o(q) be the first derivative of q**3 + 3. Determine o(l(i)).
3*i**2
Let z(n) = -2*n. Let s(h) = 2*h. Let i(x) = 4*s(x) + 3*z(x). Let c(u) = -18*u. Give c(i(j)).
-36*j
Let i(z) = 5*z. Let t(o) = -67 - 3*o + 67. Give t(i(u)).
-15*u
Let w(t) = -7*t. Let c(z) = 9*z - 36. What is w(c(y))?
-63*y + 252
Let i(v) = -v**2. Let z(o) = -5*o**2. Let k(y) = 18*i(y) - 4*z(y). Let x(t) = -3*t. What is x(k(q))?
-6*q**2
Let n = -28 + 31. Let t(i) be the first derivative of -2/3*i**3 - n + 0*i + 0*i**2. Let k(l) = -l**2. Calculate k(t(p)).
-4*p**4
Let i(j) = -10*j**2. Let c(m) = -m**2. What is i(c(t))?
-10*t**4
Let d(r) = 58*r**2 + 56*r**2 - 113*r**2. Let a(i) = i - 15. Calculate a(d(y)).
y**2 - 15
Let q(a) = -8*a + 17. Let w(m) = -m + 2. Let n(o) = 6*q(o) - 51*w(o). Let y(u) be the third derivative of u**4/12 - u**2. What is n(y(z))?
6*z
Let w(g) = -g**2. Let v(y) = -2*y + 5. Suppose -4*k = 2*k + 30. Let n(f) = f - 3. Let s(i) = k*n(i) - 3*v(i). Determine w(s(x)).
-x**2
Let o(z) = 1600*z + 2. Let n(k) = -2*k**2. Give n(o(r)).
-5120000*r**2 - 12800*r - 8
Let j(o) = -10*o. Let 