 p(j) = j**3 - 2*j**2 + 8*j - 13. Let w be p(2). Let d(r) be the second derivative of 2*r + 0*r**2 + 0 + 1/3*r**w. Let v(g) = 6*g. Give v(d(y)).
12*y
Suppose 0 = u - 3 - 0. Let l(z) = 7 + 4*z**2 - 2 - u*z**2. Let s(v) = v**2 + 3. Let d(p) = 3*l(p) - 5*s(p). Let k(r) = r. What is d(k(a))?
-2*a**2
Let k(y) = y**2 + 2*y - 22116. Let i(n) = n. What is i(k(a))?
a**2 + 2*a - 22116
Let t(h) = 2*h - 2. Let k(r) = 2*r - 6. Let g(c) = 4*k(c) - 3*t(c). Let f(q) = 2*q**2. What is g(f(z))?
4*z**2 - 18
Let k(g) = 42*g**2. Let v(b) = 5*b - 18. Let j(l) = 14*l - 51. Let y(x) = -6*j(x) + 17*v(x). Calculate k(y(n)).
42*n**2
Let t(m) = 5*m. Suppose -2*u - 12 = -4*l + 2, 5*l - 3*u - 18 = 0. Let v(a) = a - a - l*a - a. Give t(v(j)).
-20*j
Let v(f) = 13*f**2. Let l(h) be the first derivative of -7*h**3 + 46. Give l(v(w)).
-3549*w**4
Let h(p) = p**2. Let n(x) = 11*x**2 + 215*x + 17. Let m(w) = -2*w**2 - 36*w - 3. Let k(t) = 34*m(t) + 6*n(t). Calculate k(h(f)).
-2*f**4 + 66*f**2
Let l(k) = -5*k. Let z(q) = 6485*q + 3. What is z(l(a))?
-32425*a + 3
Suppose -7*z + 10*z = 15. Let q(p) = -4*p**2 - 3*p. Let c(j) = 7*j**2 + 5*j. Let u(d) = z*q(d) + 3*c(d). Let n(w) = -3*w - 3. Calculate n(u(b)).
-3*b**2 - 3
Suppose 7*r = 448 + 427. Let u(s) = -r*s + 219*s - 130*s. Let q(w) = -w. Calculate q(u(j)).
36*j
Let m(j) = 27*j. Let b(w) = -2*w**2 + 15*w - 141. Calculate b(m(v)).
-1458*v**2 + 405*v - 141
Let k(c) = 8*c. Let n(p) = -2056*p**2. Calculate n(k(l)).
-131584*l**2
Suppose s + 5*s + 3*s = 0. Let i(j) = 8*j + 0 - 9*j + s. Let z(u) = -2*u - 22. Determine z(i(q)).
2*q - 22
Let p(o) = -3*o. Let c(v) = -41*v**2 - 5283. Calculate c(p(b)).
-369*b**2 - 5283
Let y(g) = -g - 214. Let n(c) = 3*c - 36. What is n(y(v))?
-3*v - 678
Let b(r) = 2*r - 4*r + r. Let f(q) be the second derivative of 1/12*q**4 + 0*q**3 - 2*q - 4 + 0*q**2. What is b(f(d))?
-d**2
Let f(o) = -o. Let g(h) be the first derivative of -59*h**3/3 + 33. What is g(f(x))?
-59*x**2
Let l(y) = 11641*y. Let j(z) = 3*z**2. What is l(j(k))?
34923*k**2
Let h(a) = -5*a**2 - 4*a. Let p(i) = 4*i**2 + 3*i. Let t(v) = -3*h(v) - 4*p(v). Let q(c) = 30*c. Calculate t(q(s)).
-900*s**2
Let l(y) be the third derivative of y**5/5 + 72*y**2. Let h(w) be the first derivative of 0*w**2 + 1 - 1/3*w**3 + 0*w. What is l(h(r))?
12*r**4
Let v(c) = -2*c. Let a = 1734 - 584. Let n(d) = a - 1150 + d. Calculate v(n(j)).
-2*j
Let b(c) = 3825*c. Let a(p) = 29*p. What is b(a(y))?
110925*y
Let m(u) = 22*u. Let r(q) be the first derivative of -q**6/180 - 2*q**3 + q - 39. Let t(k) be the third derivative of r(k). Give m(t(v)).
-44*v**2
Let k(a) = 14*a - 6. Let c(v) = -19*v + 8. Let u(d) = 3*c(d) + 4*k(d). Let i(t) = 432*t. Calculate u(i(m)).
-432*m
Let b(n) = -n**2 - 4. Let i(d) = -d**2 - 5. Let k(j) = -5*b(j) + 4*i(j). Let a(t) be the second derivative of t**4/4 - 3*t. Give a(k(v)).
3*v**4
Let p(z) = -3*z + 4. Let k(u) = -7*u + 10. Let v(g) = 2*k(g) - 5*p(g). Let m(n) = 28*n**2 + 24*n**2 - 12*n**2 - 4*n**2. What is m(v(b))?
36*b**2
Let m(q) = 3*q**2. Let a(i) = -51507*i**2 - 3. What is a(m(d))?
-463563*d**4 - 3
Let l = -19 - -30. Let d(n) = -l*n + n + 8*n. Let c(p) = -2*p**2. Determine c(d(m)).
-8*m**2
Let b(p) = 124 - 2*p - 248 + 124. Let q(y) = -830*y**2. Calculate b(q(l)).
1660*l**2
Let j(s) = -3*s. Suppose -5*u - 8 = 3*d - 53, 5*u = -2*d + 40. Suppose u = p + 2*p. Let f(z) = -2*z - 2 + p + 0*z. What is f(j(q))?
6*q
Let n(q) = q + 14. Let l(p) = p + 5. Let v(u) = 3*u + 30. Let t(f) = 6*l(f) - v(f). Determine t(n(d)).
3*d + 42
Let w(l) = 5*l**2. Let r(a) be the first derivative of 0*a**2 - 3*a + 1 - 1/6*a**3. Let q(p) be the first derivative of r(p). Give w(q(i)).
5*i**2
Let x(p) = -2*p - 1. Let v(u) = 20*u**2 - 8*u - 7. Let j(y) = v(y) - 4*x(y). Let b(k) = 3*k. Calculate b(j(g)).
60*g**2 - 9
Let u(w) = -4*w + 11. Let v(l) be the first derivative of -l**3 + 57. Calculate v(u(j)).
-48*j**2 + 264*j - 363
Let p(b) be the first derivative of 3*b + 1/3*b**3 + 1 + 0*b**2. Let q(n) be the first derivative of p(n). Let z(l) = -l**2. Determine z(q(x)).
-4*x**2
Let v(j) = -31*j + 4. Let m(k) = k + 1. Let x(n) = 4*m(n) - v(n). Let g(b) = 11*b**2. Let f(u) = -14*u**2. Let z(p) = -3*f(p) - 4*g(p). What is x(z(i))?
-70*i**2
Let p(g) = -2*g. Let u(a) = 13*a - 52. Let f(j) = -17*j + 50. Let h(c) = 4*f(c) + 5*u(c). Calculate p(h(l)).
6*l + 120
Let t(n) = 389 + 98*n**2 - 389. Let j(v) = -2*v**2. What is t(j(u))?
392*u**4
Let q(m) = 344*m - 1. Let o(u) = 7*u**2. What is q(o(r))?
2408*r**2 - 1
Let q(r) = -28754*r**2 - 10*r - 4. Let x(u) = 2*u. Determine q(x(k)).
-115016*k**2 - 20*k - 4
Let s(k) = 2*k + 45. Let z(q) = -5*q. What is z(s(i))?
-10*i - 225
Let w(y) = 20*y**2 + 12*y + 12. Let z(t) = -t**2 - t - 1. Let i be (-3)/(-9)*0 + 60. Let b(v) = i*z(v) + 5*w(v). Let f(n) = n. Calculate b(f(o)).
40*o**2
Let v(z) = -81*z**2. Let x(k) be the third derivative of 2*k**5/15 + 326*k**2 - 2. Calculate v(x(c)).
-5184*c**4
Let b(c) = -c. Let a(x) be the second derivative of 143*x**4/2 + 58*x. What is a(b(y))?
858*y**2
Let r(y) be the second derivative of 5/3*y**4 + 0*y**3 + 0*y**2 + 0 + 28*y. Let t(i) = 3*i. Determine t(r(n)).
60*n**2
Suppose 4126 = 3*k - 2*k + z, -4120 = -k - 3*z. Let t(j) = k - 4129 - j. Let v(o) = 17*o. What is t(v(g))?
-17*g
Suppose -4*m + 30 = m. Let d(a) = -5*a**2 + m*a**2 + 3*a**2. Let s(z) = -2*z**2. Give s(d(u)).
-32*u**4
Let g(l) = l**3 - 3*l**2 - 5*l + 4. Let v be g(4). Let b(c) = 0*c + 6*c + v*c - 3*c. Let k(n) = 6*n. What is b(k(z))?
18*z
Let n(y) = 7924 - 3958 + 1257*y**2 - 3966. Let c(h) = -h. Determine c(n(z)).
-1257*z**2
Let r(t) = 6*t**2 - 24*t**2 + 14*t**2. Suppose 0 = 5*g + 11 - 1. Let i(y) = 4*y. Let f(p) = -3*p. Let m(h) = g*i(h) - 3*f(h). Give r(m(a)).
-4*a**2
Let c(g) = 1266*g**2. Let y(d) = 125*d**2. What is y(c(v))?
200344500*v**4
Let r(k) = 32*k - 5. Suppose 3*z + 4*y + 1 = 0, -4*y + 9 = 5*z - 0. Let j(t) = 48*t - 8. Let c(p) = z*j(p) - 8*r(p). Let w(m) = m. Give w(c(a)).
-16*a
Let u(x) = -6*x**2 + 7*x. Let k(v) = 0 + 0 + 74*v - 76*v. Determine k(u(y)).
12*y**2 - 14*y
Let s(o) = -185*o. Let k(f) = -15*f**2 + 27*f**2 - 10*f**2. Calculate k(s(a)).
68450*a**2
Let w(q) = q**2. Let t(b) = -12*b**2 - 1178. Calculate t(w(g)).
-12*g**4 - 1178
Let i(g) = 3*g. Let d(n) = -34*n**2 + 1 + n**2 - 53*n**2 + 12*n**2 - 25*n**2. Determine d(i(s)).
-891*s**2 + 1
Let j(d) = -173*d. Let g(q) = 935*q**2. Determine j(g(n)).
-161755*n**2
Let j(r) = -12*r + 3. Let k(x) = -5*x**2 + 14*x. Let i(u) = u**2 - 2*u. Let q(p) = 14*i(p) + 2*k(p). Determine j(q(m)).
-48*m**2 + 3
Let d(i) be the second derivative of i**4/6 + 2*i + 188. Let c(y) be the second derivative of -43*y**3/6 + y. Give d(c(u)).
3698*u**2
Let j(l) = 3*l + 85. Let r(o) = 4*o - 28. Calculate j(r(i)).
12*i + 1
Let k(a) = a**2. Let u(s) be the first derivative of 5/3*s**3 + 0*s + 0*s**2 + 16. Determine k(u(w)).
25*w**4
Let d(j) = -19*j**2 + 3*j. Let v(c) = 21*c. What is d(v(l))?
-8379*l**2 + 63*l
Let x(n) be the third derivative of n**6/360 + 5*n**4/12 + 14*n**2. Let l(k) be the second derivative of x(k). Let q(r) = -r. Calculate l(q(w)).
-2*w
Let f(g) be the second derivative of -g**3/2 - 3*g. Let s(w) = 3*w**2 - 3*w - 14. Let a be s(-6). Let d(v) = 112 - a + 2*v - v. Give f(d(y)).
-3*y
Suppose 0 = -28*v + 18*v. Let g(s) be the third derivative of 8*s**2 + 0*s + 1/24*s**4 + v*s**3 + 0. Let i(h) = -13*h. Calculate i(g(f)).
-13*f
Let m(y) be the first derivative of -2/3*y**3 - 11 + 0*y**2 + 0*y. Let z(v) be the third derivative of -v**5/12 - v**2. What is m(z(s))?
-50*s**4
Let h(w) = -9*w**2. Let q(x) = 7*x**2 - 5. Let v(m) = m**2. Let z(a) = q(a) + 2*v(a). Let o(l) = 9*l**2 - 6. Let u(b) = -5*o(b) + 6*z(b). Determine u(h(y)).
729*y**4
Let k(c) be the first derivative of c**2 + 710. Let h(s) = 1079*s**2 - 1. What is h(k(j))?
4316*j**2 - 1
Let a(p) = 17*p - 260. Let f(g) = 6*g**2. Give f(a(b)).
1734*b**2 - 53040*b + 405600
Let u(x) = x. Let i = 37 + -31. Suppose 2*c = -34 - i. Let k(s) = -1. Let g(v) = 5*v + 20. Let d(m) = c*k(m) - g(m). What is u(d(z))?
-5*z
Let x(v) = -2*v**2. Let t(i) = -4*i. Let y(j) = -38*j - 1. Let f(o) = -5*t(o) - y(o). Give x(f(a)).
-6728*a**2 - 232*a - 2
Let v(a) = 4*a**2. Let g(y) = 7*y - 2. Let h(d) = 18*d - 5. Let j(c) = 15*g(c) - 6*h(c). Give j(v(u)).
-12*u**2
Let j(h) = 64*