- 5. Calculate g(o(k)).
-2142*k - 5
Let v(u) be the third derivative of -u**5/30 - 33*u**2. Let a(g) = g**2 - 153. Determine v(a(d)).
-2*d**4 + 612*d**2 - 46818
Let m(a) = -15*a**2. Let f(j) = 183949*j**2. Determine f(m(l)).
41388525*l**4
Let j(q) = q**2. Let c(d) = 4*d**2 + 338*d - 8. Calculate c(j(k)).
4*k**4 + 338*k**2 - 8
Let t(r) = -5*r**2 - 118*r - 19. Let a(z) = 4*z. What is a(t(u))?
-20*u**2 - 472*u - 76
Let q(w) = 12*w + 14. Let h(o) = -o - 1. Let k(d) = 14*h(d) + q(d). Let a(g) = -246*g**2. Determine a(k(l)).
-984*l**2
Let n(m) = 29*m - 93*m + 30*m + 33*m. Let p(c) = 982*c. What is n(p(g))?
-982*g
Let t(y) = -y**2. Let b(a) = -311182*a. Calculate b(t(i)).
311182*i**2
Let r(o) = 243*o. Let b(m) = 5*m + 43. Determine b(r(f)).
1215*f + 43
Let s(v) = -139*v + 2. Let o(g) = 137*g. What is s(o(p))?
-19043*p + 2
Suppose 2*i + 19 = -i - 4*l, -2*l - 12 = 4*i. Let d(g) = g**2 - g. Let s(p) = 8*p**2 - 6*p. Let t(f) = i*s(f) + 6*d(f). Let a(y) = 29*y**2. Give a(t(v)).
116*v**4
Let m(n) be the third derivative of -n**4/2 - n**2. Let z(v) be the third derivative of -v**4/12 + v**2 - 78. Determine m(z(w)).
24*w
Let h(z) be the second derivative of z**7/1260 - 5*z**4/2 - 30*z. Let b(u) be the third derivative of h(u). Let f(o) = 12*o. Determine f(b(d)).
24*d**2
Let b(p) = -7220*p**2. Let a(t) = 2*t + 119. Calculate a(b(s)).
-14440*s**2 + 119
Let s(n) = 4*n**2 - 3*n + 3. Let x(j) = 10*j**2 - 8*j + 8. Let p(z) = 8*s(z) - 3*x(z). Let v(r) = -4*r. Give p(v(b)).
32*b**2
Let p(l) = l**2 - 1213*l. Let j(q) = -q. What is p(j(c))?
c**2 + 1213*c
Let o(w) = -31*w - 14. Let c(r) = -10*r. Determine c(o(b)).
310*b + 140
Let u(y) = -8*y**2. Let i(c) be the first derivative of -5*c**3/6 - 4*c + 38. Let w(b) be the first derivative of i(b). What is u(w(p))?
-200*p**2
Let c(b) = b. Let a(w) = -10*w. Let k(g) = a(g) + 6*c(g). Let u(d) = -9*d + 6. Let x(y) = y - 1. Let n(v) = u(v) + 6*x(v). Calculate k(n(p)).
12*p
Let p(a) be the first derivative of -2*a**3 + 3. Suppose -4*j = -8, 3*j + 4 = 4*w + 2. Let l(g) = -10*g**2 - 14*g**w + 26*g**2. Determine p(l(s)).
-24*s**4
Let o(h) be the first derivative of -h**2/2 - 69. Let g(t) = -27*t**2 - 12*t. Calculate o(g(r)).
27*r**2 + 12*r
Let w(b) = 7*b**2 - 1862. Let a(h) = -h. Give a(w(f)).
-7*f**2 + 1862
Let a = 6 + -3. Let q(r) = -a*r + 6*r + 9*r. Let z(d) = -2*d**2. Determine z(q(o)).
-288*o**2
Let g(a) = -7*a**2. Let m(z) be the third derivative of z**5/10 + 14*z**2 + 6*z. Calculate m(g(d)).
294*d**4
Let o(t) be the first derivative of -29*t**2 + 208. Let w(c) = -5*c**2. Determine o(w(x)).
290*x**2
Let w(o) be the first derivative of 254*o**2 + 166. Let a(b) = 2*b. Give a(w(m)).
1016*m
Let c(f) = -28*f. Let a(w) = -4*w + 8. Let i(u) = -16*u + 36. Let n(o) = -9*a(o) + 2*i(o). What is n(c(y))?
-112*y
Let f(z) = 4*z. Suppose -w = 5*p - 44, -2*p + 2*w + 1 = -7. Let r(l) = 3*l + p*l - 2*l. Calculate r(f(s)).
36*s
Let j(c) be the third derivative of c**5/20 + 94*c**2. Let x(w) = 3*w**2. Give j(x(b)).
27*b**4
Let a(o) = o**2 + 0 + 6 + o**2. Let z(v) = 2*v**2 - 7*v - 21. Let c(d) = -d**2 + 4*d + 12. Let g(w) = 14*c(w) + 8*z(w). Calculate g(a(r)).
8*r**4 + 48*r**2 + 72
Let g(l) = -53936*l. Let d(k) = -40*k. What is d(g(y))?
2157440*y
Let u(j) be the first derivative of j**3 + 1. Suppose -2*m = 4*f - 688, 5*m + f - 4*f = 1759. Let t(k) = 174 + 176 - m - 4*k**2. Give u(t(y)).
48*y**4
Suppose x + 3*x - 10 = -2*v, x + 2 = -2*v. Let m(c) = -x*c - 3 + 3 + 8*c. Let w(i) = -4*i. Determine w(m(k)).
-16*k
Let z(b) = 338*b - 58. Let t(q) = q. Determine z(t(g)).
338*g - 58
Let x(m) = -370*m - 1. Let w(k) = 428*k. Calculate w(x(p)).
-158360*p - 428
Let q(h) be the second derivative of -h**5/60 + 5*h**2/2 - 3*h. Let l(w) be the first derivative of q(w). Let m(f) = 2*f + 2*f - 2*f. Determine l(m(a)).
-4*a**2
Let t(j) = 289*j. Let a(f) = -6*f - 7. Give a(t(o)).
-1734*o - 7
Let h(y) = 6*y**2 + 11*y + 33. Let o(f) = -f**2 - 2*f - 6. Let r(t) = -2*h(t) - 11*o(t). Let v(b) = 19*b**2. Give r(v(w)).
-361*w**4
Let s(d) = 7544*d. Let p(w) = -44*w**2 - 3. What is s(p(m))?
-331936*m**2 - 22632
Let q(v) = -v. Let x = 33 - 31. Let k(c) = -18*c**2 + 5*c**2 - 5*c**x. What is k(q(g))?
-18*g**2
Suppose -50 = -5*c - 0*c. Let v(f) = c*f - 24*f + 10*f + 2*f. Let m(y) = -3*y - 3*y - 3*y. Determine m(v(j)).
18*j
Let h(v) = 2*v**2 + 4*v + 11. Let x(y) = 2*y**2 + 3*y + 10. Let q(g) = -3*h(g) + 4*x(g). Let t(i) = i. Determine t(q(d)).
2*d**2 + 7
Let w(i) = -2*i**2. Suppose -f = -3898 + 230. Let l(z) = z + f - 3668. Give l(w(c)).
-2*c**2
Let b(n) = -n**2 + 3*n - 16. Let d(z) = -3*z + 12. Let m(i) = -3*b(i) - 4*d(i). Let t(s) = -s**2. Give m(t(k)).
3*k**4 - 3*k**2
Let l(s) = 2*s**2. Let d(b) = 14 + 0 - 3 - 41*b. Let p(w) = 10*w - 3. Let u(k) = -6*d(k) - 22*p(k). Calculate l(u(g)).
1352*g**2
Let p(x) = 0 - 7 + 7 - 2*x. Let s(m) = 19*m**2. Let h(n) = -5*n**2. Let t(l) = 22*h(l) + 6*s(l). Give p(t(w)).
-8*w**2
Let d(a) be the third derivative of 23*a**7/5040 + 8*a**5/15 - 23*a**2. Let q(i) be the third derivative of d(i). Let f(j) = 3*j**2. What is f(q(u))?
1587*u**2
Let o(w) = -9*w + 4*w + 3*w + w. Let d(g) = 29*g**2. Determine o(d(l)).
-29*l**2
Let y(g) = 6249*g. Let i(o) = -12*o**2. Determine i(y(u)).
-468600012*u**2
Let f(u) = 11*u. Let l(n) be the first derivative of n**5/60 - 8*n**3/3 - 5. Let q(r) be the third derivative of l(r). Give q(f(y)).
22*y
Let p(d) = 17*d**2 + 3*d. Let q(v) = -v**2. Let b(s) = 2*s**2. Let c(u) = 3*b(u) + 4*q(u). Give p(c(l)).
68*l**4 + 6*l**2
Let a(f) = -2*f**2. Let c(n) be the first derivative of 0*n + 0*n**2 - 21 - 8/3*n**3. Give a(c(r)).
-128*r**4
Let k(q) = q. Let w = 33 + 7. Suppose -5*o = 3*c - 46, -2*o + 3*o = -5*c + w. Let s(f) = -f - 9*f - c*f - 5*f. Calculate k(s(n)).
-22*n
Let a(r) = -2*r. Let s(o) = 287824*o. Determine a(s(p)).
-575648*p
Let v(w) = 405*w**2 + 150*w. Let m(j) = 11*j**2 + 4*j. Let c(n) = -75*m(n) + 2*v(n). Let p(o) = 63*o. What is p(c(r))?
-945*r**2
Let b(j) = -8*j**2. Let u(p) be the first derivative of p**3 + 52. What is u(b(l))?
192*l**4
Let c(j) = -81*j - 86*j + 252*j - 87*j. Let f(w) = 378*w. What is c(f(z))?
-756*z
Let d(i) = 2*i**2. Let p(b) = 398907*b**2. What is p(d(t))?
1595628*t**4
Let v(m) = -m. Let c(d) be the second derivative of -77*d**3/6 - 8*d + 1. Determine v(c(j)).
77*j
Let q(d) be the third derivative of 331*d**4/24 - 187*d**2. Let x(a) = -2*a. Give x(q(z)).
-662*z
Let u(c) = 98*c. Let v(y) = 19*y. Let b(s) = 2*u(s) - 11*v(s). Let g(j) = -3*j**2. Determine b(g(z)).
39*z**2
Let w(n) = 10 - 10 + 0*n - 2*n. Let g(k) = 46*k**2. Give g(w(m)).
184*m**2
Let t(b) = 5*b + 120. Let x(m) = -472*m. Determine t(x(r)).
-2360*r + 120
Let b(g) = 23*g**2. Let t(c) = 31*c + 13. Calculate b(t(i)).
22103*i**2 + 18538*i + 3887
Let d(a) = 17*a**2. Let q(p) be the first derivative of -p**4/12 - 3*p**2/2 + 9. Let o(n) be the second derivative of q(n). Calculate d(o(c)).
68*c**2
Let s(z) = 3*z. Let c(r) = -7794*r. Determine c(s(u)).
-23382*u
Let l(p) = -2*p. Let x(o) = -2*o - 2. Let z(w) = -119*w - 238. Let i(n) = 595*x(n) - 5*z(n). What is i(l(m))?
1190*m
Let l(c) = -177*c**2. Let p(v) = -48*v**2 + 5*v**2 + 26*v**2 + 14*v**2. Calculate l(p(u)).
-1593*u**4
Let o(c) be the first derivative of 2*c**3/3 + 161. Let v(w) = -3*w + 2. Give v(o(i)).
-6*i**2 + 2
Let i(l) = 8*l**2. Suppose 24*d = -7*d - 12*d. Let s(n) be the second derivative of -5*n + 0*n**2 + d + 1/6*n**3. Give s(i(c)).
8*c**2
Let h(r) = -r. Let o(z) = 234*z - 234*z - 178*z**2. Determine o(h(s)).
-178*s**2
Let a(m) = 20*m**2. Let l = 427 + -810. Let v = -102 - l. Let b(u) = 0*u**2 - v - u**2 + 281. Calculate a(b(c)).
20*c**4
Let l(p) = 5*p**2 - 8*p. Let c(o) be the second derivative of -o**3/2 + 4*o + 5. What is l(c(i))?
45*i**2 + 24*i
Let p(h) be the third derivative of h**5/30 + 5843*h**2. Let w(c) = -19*c. Let o = 6 + -10. Let a(r) = 6*r. Let j(q) = o*w(q) - 14*a(q). Determine j(p(m)).
-16*m**2
Let g(l) = 163446*l**2. Let s(r) = 3*r**2. Calculate s(g(u)).
80143784748*u**4
Let p(n) = 199*n**2 - 2. Let c(j) = 5375*j**2 - 55. Let v(z) = -2*c(z) + 55*p(z). Let w(s) = -2*s. Calculate v(w(h)).
780*h**2
Let a(k) = 7104*k**2. Let s(h) = 7*h**2. Determine s(a(w)).
353267712*w**4
Let k(z) = -485864*z. Let l(f) = 2*f**2. What is l(k(i))?
472127652992*i**2
Let t(s) be 