.
4*w**4 - 56*w**2 + 196
Let u(a) = -8*a**2. Let r(i) be the first derivative of 0*i + 49 - 2/3*i**3 + 0*i**2. Calculate r(u(q)).
-128*q**4
Let o(z) = z**2 + 30. Let c(f) = 15*f. What is o(c(v))?
225*v**2 + 30
Let m(w) be the second derivative of 0*w**3 + 0*w**2 - 5*w + 0 + 1/12*w**4. Let n(t) be the second derivative of 7*t**3/6 - 4*t. Give n(m(u)).
7*u**2
Let n(o) be the second derivative of 67*o**3/6 - 29*o. Let w(m) = -2*m**2. What is n(w(a))?
-134*a**2
Let p(s) = 2*s**2. Suppose 5*x + q - 14 = 0, 3*x - 4*q = -3*q + 2. Let f(y) = 13*y**2 + 0*y**2 + 24*y**x. Give p(f(d)).
2738*d**4
Suppose 2*u - 4*r = u + 1, -3*r = u - 1. Let t(w) = -w**2 - w + 1. Let k(c) = 10*c**2 + 8*c - 8. Let d(v) = u*k(v) + 8*t(v). Let i(s) = -26*s. Give d(i(b)).
1352*b**2
Let k(b) = 2*b**2 - 3*b. Let i be k(2). Suppose 4 = -12*c + 14*c. Let u(h) = -h**c - 4*h**i + 2*h**2. Let z(y) = 5*y. Calculate u(z(x)).
-75*x**2
Let g(i) be the third derivative of -3*i**5/10 + 138*i**2. Let c(r) = -8*r. What is g(c(s))?
-1152*s**2
Let g(j) = 2*j. Let k(f) be the first derivative of 0*f - 4 + 3/2*f**2. What is k(g(v))?
6*v
Let p(k) = -94*k. Let s(d) = -4*d. Let h(q) = -q. Let i(v) = -5*h(v) + 2*s(v). Calculate i(p(x)).
282*x
Let j(m) = -12*m**2 + 2*m. Let q(r) = 10*r**2 - 128*r. Let d(t) = 2*t**2 - 24*t. Let p(c) = 16*d(c) - 3*q(c). Calculate j(p(b)).
-48*b**4 + 4*b**2
Let r(l) be the second derivative of -l**6/72 - l**3/2 + 10*l. Let q(y) be the second derivative of r(y). Let g(o) = -4*o**2. What is g(q(w))?
-100*w**4
Let g(w) = -w - 1. Let d(h) = -8*h - 18. Let i(f) = 2*d(f) - 36*g(f). Let k(a) be the third derivative of a**5/60 - 2*a**2 - 77. Determine k(i(u)).
400*u**2
Let o(k) = k**2. Let g(y) = -3*y**2 + 5*y + 5. Let x(q) = -4 - 2*q - 6*q**2 + 8*q**2 + 2 - q**2. Let h(s) = 2*g(s) + 5*x(s). Calculate h(o(l)).
-l**4
Let d(g) = 1542*g. Let h(q) = -41*q**2 - 169*q + 43*q**2 + 169*q. Give d(h(l)).
3084*l**2
Let k(i) = -153*i. Let w(o) = -386*o. Determine w(k(h)).
59058*h
Let p(x) = -66*x**2 + 3*x - 7. Let i(w) = 221*w**2. Determine p(i(k)).
-3223506*k**4 + 663*k**2 - 7
Let h(u) be the third derivative of -u**5/60 + 11*u**3/6 + 8*u**2. Let d(c) be the first derivative of h(c). Let f(t) = -6*t. Calculate f(d(x)).
12*x
Let x(a) = 9*a. Let o(r) = 106*r + 57. Determine o(x(p)).
954*p + 57
Suppose 0*g = 2*g - k - 5, 10 = -g - 2*k. Let t(p) = -868 + 868 + g*p + p. Let w(a) be the second derivative of a**3/6 + a. What is w(t(i))?
i
Let b(y) be the first derivative of -1/6*y**3 + 3 + 0*y**2 - 6*y. Let k(f) be the first derivative of b(f). Let u(w) = 13*w. What is k(u(z))?
-13*z
Let y(s) = -13*s**2. Let d be 380360/70 + 4/14. Let g(u) = 5434*u - d*u + 3*u**2. Calculate y(g(a)).
-117*a**4
Let y(u) = -14*u + 23*u - 6*u. Let x be 90/(-20)*8/(-6). Let w(v) = -4*v**2 + 6*v. Let g(o) = 7*o**2 - 11*o. Let i(s) = x*g(s) + 11*w(s). Give i(y(z)).
-18*z**2
Let b(r) be the second derivative of -19*r**4/12 + 4*r. Let w(h) = -h**2 + 8*h - 4. Let d be w(7). Let c(g) = d - 3 - 2*g. What is c(b(p))?
38*p**2
Let x(i) = -21*i**2. Let o(n) = -3*n - 771. Calculate x(o(j)).
-189*j**2 - 97146*j - 12483261
Let p be (2/3)/((-2)/(-6)). Let k(z) = 6*z**2 - 2*z**2 - p*z**2. Let g(y) = 42 + 33 - 75 - 13*y**2. Calculate g(k(o)).
-52*o**4
Suppose 0 = x + 6*x. Let a(w) be the third derivative of 2*w**2 + 0*w**3 + x + 1/12*w**4 + 0*w. Let y(h) = -2*h**2. What is a(y(d))?
-4*d**2
Let m(s) = -2*s - 94961. Let z(v) = -8*v. Determine z(m(h)).
16*h + 759688
Let u(w) = 199123*w. Let y(a) = 31*a**2. What is y(u(p))?
1229149042999*p**2
Let j(x) = x**2. Let w(c) = -81*c**2 - 4*c - 20. Let d(z) = 1620*z**2 + 81*z + 405. Let h(f) = 4*d(f) + 81*w(f). Give j(h(b)).
6561*b**4
Let t(i) be the second derivative of 0*i**3 - 1/6*i**4 + 0*i**2 - i - 26. Let m(x) = 117*x - 27. Let f(b) = 9*b - 2. Let v(l) = 54*f(l) - 4*m(l). Give v(t(o)).
-36*o**2
Let a(z) = -4*z**2. Let m(v) = -36253*v**2 - 2*v + 1. Determine m(a(p)).
-580048*p**4 + 8*p**2 + 1
Let h(u) = 2*u**2. Let s(y) = -8*y**2 + 783*y. What is s(h(f))?
-32*f**4 + 1566*f**2
Let l(i) be the third derivative of 7*i**4/24 + 284*i**2. Let x(n) = -16*n. Calculate x(l(y)).
-112*y
Let o(m) = -9*m**2 - 123. Let p(w) = -3*w**2. Give p(o(u)).
-243*u**4 - 6642*u**2 - 45387
Let r(v) = -416*v + 833*v - 418*v. Let y(f) = -153*f**2. What is r(y(l))?
153*l**2
Let y(m) = -2*m - 17. Let b be y(-10). Let o be (1*6)/(b + 0). Let i(u) = 2*u**2 - 2*u**2 + 7*u**o + 2*u**2. Let l(f) = f. What is l(i(j))?
9*j**2
Suppose -2 = -3*l + 7. Let j(u) = -3 + l - 4*u. Let m(y) = -2*y - 44. Let w(q) = 13*q + 264. Let s(d) = 6*m(d) + w(d). What is j(s(t))?
-4*t
Let g(s) = s**2. Let v(t) = t + 1. Let x(u) be the first derivative of -8*u - 12. Let p(z) = 24*v(z) + 3*x(z). Give g(p(y)).
576*y**2
Let f(v) = 2*v. Let s(h) be the third derivative of 1/3*h**4 + 0*h + 0 + 8*h**2 + 0*h**3. What is s(f(o))?
16*o
Let f(u) be the first derivative of 3*u**2/2 - 32. Let j(s) = -28*s. What is f(j(b))?
-84*b
Let z(a) = 6*a - 14. Let x(t) = t - 2. Let o(w) = -21*x(w) + 3*z(w). Let g(u) = 5*u**2 - u. What is g(o(b))?
45*b**2 + 3*b
Let k(n) = 1437*n**2 - 2*n. Let g(d) = 2*d + 26. Give g(k(o)).
2874*o**2 - 4*o + 26
Let h(x) = 2*x**2 + 27. Let r(c) = 2153*c. Calculate h(r(b)).
9270818*b**2 + 27
Suppose 4*o + 13 = -3*v + 3, 2*o = -5*v + 2. Let d(a) = 2*a + 2*a - v*a + a. Let k(w) = -w. Calculate k(d(c)).
-3*c
Let z(h) = -h**2. Let u(i) be the second derivative of -27*i**3/2 + 90*i. Calculate u(z(n)).
81*n**2
Let g(n) = -15*n. Let w(j) = -4*j + 37896 - 37896 + 30*j. Give w(g(r)).
-390*r
Let g(d) = -d. Let v(j) = 5*j + 48. Calculate g(v(u)).
-5*u - 48
Let s(h) = -68*h. Let d(k) = -11*k**2 - 17*k. Calculate s(d(t)).
748*t**2 + 1156*t
Let h(d) be the third derivative of -d**8/1440 + 2*d**5/3 - 41*d**2. Let i(z) be the third derivative of h(z). Let a(u) = -6*u. Give i(a(o)).
-504*o**2
Let w(p) = -11*p. Let m(n) be the third derivative of -n**5/30 - 4*n**2 - 6. Give w(m(z)).
22*z**2
Let o(p) = 47*p + 49. Let g(s) = -27*s - 28. Let a(u) = -7*g(u) - 4*o(u). Let k(d) = -3*d**2 - 2*d**2 + 16*d**2. Determine a(k(v)).
11*v**2
Let m(j) be the second derivative of j**3/3 + 2*j. Let o = 105 - 68. Let n(v) = 15*v - o*v + 10*v + 8*v. Determine m(n(g)).
-8*g
Suppose 4*i + 5*w + 15 = 0, i + 3*i = 5*w + 15. Let g(x) = 7*x + i*x + 0*x - 6*x. Let s(b) = 2*b + 5*b + 2*b. Determine s(g(r)).
9*r
Let p(d) = 5*d + 11. Let z(s) = -2785*s**2 + 5568*s**2 - 2779*s**2. What is z(p(h))?
100*h**2 + 440*h + 484
Let j(t) = 52*t**2. Let m(a) = -11*a + 12. Let s(v) = 31*v - 34. Let u(z) = 17*m(z) + 6*s(z). Give j(u(k)).
52*k**2
Let r(k) be the first derivative of -k**5/30 - 23*k**2/2 + k + 10. Let g(b) be the second derivative of r(b). Let o(q) = 4*q - 5. Give g(o(l)).
-32*l**2 + 80*l - 50
Suppose -p + 22 = 5*l + 3*p, -p = 5*l - 13. Let v(i) = l*i**2 - 7*i**2 + 6*i**2. Let r(u) be the first derivative of 4*u**2 - 2. Calculate v(r(b)).
64*b**2
Let u(x) = 2072*x**2. Let q(k) = 25*k**2. What is q(u(f))?
107329600*f**4
Suppose 0 = c + c - 10. Let h(w) = -c*w + 3*w**2 + 5*w. Let y(b) = -70*b - 64*b + 203*b - 66*b. Determine h(y(z)).
27*z**2
Let n(m) be the first derivative of 32*m**2 - 10. Let l(z) = 2*z**2. Determine n(l(g)).
128*g**2
Let a(h) = h**2 - 20*h. Let w(x) = 2012*x + 3. Give w(a(f)).
2012*f**2 - 40240*f + 3
Let m(u) = -2*u. Let l = -3 - -5. Let t(r) = r**3 - 19*r**2 - 10*r - 197. Let v be t(20). Let q(x) = -l*x - 11*x - v*x + 3*x. Determine m(q(g)).
26*g
Let h(c) = 769*c. Let q(z) = -z**2 + 26*z. Give q(h(g)).
-591361*g**2 + 19994*g
Let p(w) = w**3 - 2*w**2 - 4*w + 7. Let y be p(3). Let a(v) = 100*v - y + 4 - 103*v. Let c(s) = -17*s**2. Calculate a(c(t)).
51*t**2
Let n(h) = 15*h**2. Let c(p) = 8*p**2 + 6*p. Let a = 9 - 10. Let d(j) = j**2 + j. Let t(l) = a*c(l) + 6*d(l). What is n(t(v))?
60*v**4
Let q(p) = 9*p**2. Let a(r) = -3825*r. Calculate q(a(x)).
131675625*x**2
Let m(a) be the second derivative of a**6/180 + 2*a**3/3 - 6*a. Let w(y) be the second derivative of m(y). Let s(n) = -3*n - n**2 + 3*n. Determine w(s(x)).
2*x**4
Let i(l) = 80*l. Let o(v) be the first derivative of -v**2/2 + 69. Determine i(o(s)).
-80*s
Let f(r) = 4*r**2. Let m = 2 - 12. Let a be 48/20 + (-6)/m. Let q(g) = -g + a*g**2 + g - 4*g**2. Give f(q(d)).
4*d**4
Let t(y) = 6*y - 3. Let j(r) = -430*r.