- 16. Determine f(c(k)).
-2*k**2 + 64*k - 512
Let d(a) = -494*a. Let z(l) = 18*l**2. Determine d(z(c)).
-8892*c**2
Let c(x) = -x + 64. Let q(a) = -a - 12. Give q(c(p)).
p - 76
Let r(f) = 35 + 28 - 48*f - 63 + 45*f. Let v(y) = 227*y. Determine v(r(x)).
-681*x
Let y(t) = 2*t**2. Let z be (-11)/(44/(-16)) - (3 + 1). Let p(s) be the third derivative of 0*s**3 - 9*s**2 - 2/3*s**4 + z*s + 0. Calculate p(y(r)).
-32*r**2
Let o(x) = -2*x**2. Let y(i) = -118161*i + 2. Calculate y(o(f)).
236322*f**2 + 2
Let h(t) be the second derivative of -2*t**3 - t. Let v(n) be the second derivative of -n**3/3 - 30*n. Give v(h(p)).
24*p
Let i(r) = -r - 2. Let k(s) = -6*s - 15. Let z(x) = 15*i(x) - 2*k(x). Let g(j) = 21*j**2. Let q(d) = 3*d**2. Let h(a) = g(a) - 2*q(a). Determine h(z(u)).
135*u**2
Let y(w) = -2*w**2. Let t(p) = -105*p**2. Give t(y(a)).
-420*a**4
Let h(w) = -2*w**2. Let s(p) = p**2 + p + 1. Let q(y) be the first derivative of y**3 + y**2/2 + y + 11. Let v(l) = q(l) - s(l). What is h(v(c))?
-8*c**4
Let d(q) = -q**2. Suppose -100 = -3*m - m. Let b(i) = i - 1. Let v(p) = -16 - 30*p + 6 + 35. Let k(j) = m*b(j) + v(j). Give d(k(r)).
-25*r**2
Let o(g) = 0*g + 0*g - 2*g. Suppose -4*v + 10 = 2. Let u(z) = -v*z**2 - 9 + 3 + 6. Calculate o(u(c)).
4*c**2
Let p(s) = 14*s. Let a(m) = -104*m. Determine a(p(f)).
-1456*f
Let t(l) = -22*l + 3. Let d(s) be the third derivative of -s**5/30 + 3*s**2 - 24*s. Calculate t(d(j)).
44*j**2 + 3
Let i(o) be the first derivative of o**4/24 + 4*o**2 + 15. Let v(k) be the second derivative of i(k). Let j(y) = 5*y**2. Determine v(j(w)).
5*w**2
Let f(y) = y. Let a(c) be the first derivative of 23 + 11/2*c**2 + 0*c. What is a(f(r))?
11*r
Let h(w) be the third derivative of -5*w**4/24 + 261*w**2 + 7. Let q(r) be the first derivative of -10*r**3/3 + 1. Determine h(q(i)).
50*i**2
Let m = 72 - 51. Let n(d) = m + 4*d - 21. Let y(w) = -3*w**2. Determine n(y(a)).
-12*a**2
Let s(u) = -2*u. Let v(o) = 2*o**2 + 150969*o. Determine s(v(d)).
-4*d**2 - 301938*d
Let t(j) = j. Let k(s) = -s - 1. Let h(w) = 7. Let o(b) = 5*h(b) + 35*k(b). Let i(f) = 17*f. Let a(r) = 13*i(r) + 6*o(r). What is t(a(q))?
11*q
Let q(s) = -58*s**2 + 17*s + 14. Let x(i) = 20*i**2 - 6*i - 5. Let n(v) = 6*q(v) + 17*x(v). Let a(b) = b. Determine n(a(z)).
-8*z**2 - 1
Let c(m) = 2*m. Let k(g) = -g**2 - 6*g + 2. Let x be k(-6). Let p be (((-6)/3)/(-2))/((-2)/(-12)). Let a(l) = -2 + x + p*l - l. Give a(c(s)).
10*s
Let p(i) = 15*i + 62. Let t(n) = 7*n + 31. Let j(b) = 4*p(b) - 9*t(b). Let a(h) = -h**2. Determine a(j(x)).
-9*x**2 - 186*x - 961
Let a(h) = -h**2 + h + 2. Let j(b) = -15*b**2 + 3*b + 8. Let q(f) = -4*a(f) + j(f). Let z(k) = k**2. Give q(z(v)).
-11*v**4 - v**2
Let o(w) = 30*w**2. Let u(g) = 84 - 208 - 28*g + 124. Determine o(u(m)).
23520*m**2
Let k(a) = 155*a + 15. Let c(l) = -7*l**2 + 3*l. Calculate c(k(o)).
-168175*o**2 - 32085*o - 1530
Let f(z) be the third derivative of 0*z + 0 + 1/60*z**5 + 2*z**2 + 0*z**4 + 0*z**3. Let x(u) be the second derivative of -5*u**4/12 - u. Calculate f(x(w)).
25*w**4
Let p(m) = 5*m**2 + 3*m + 15. Let z(r) = 14*r**2 + 8*r + 40. Let n(g) = -8*p(g) + 3*z(g). Let c(b) = b - 54. Give n(c(y)).
2*y**2 - 216*y + 5832
Let l(o) be the first derivative of -4*o**2 + 28*o + 5. Let c(p) = p - 3. Let i(m) = -28*c(m) - 3*l(m). Let x(k) = 97 - k**2 - 97. Give i(x(z)).
4*z**2
Let i(w) be the first derivative of 4*w**2 - 1. Let u(r) be the first derivative of -r**2/2 - 203. What is u(i(b))?
-8*b
Let o(c) = -2*c**2. Let z(x) = -x**2 + 2*x. Let u(d) be the third derivative of d**5/20 - 7*d**4/24 - 11*d**2. Let l(f) = 6*u(f) + 21*z(f). What is o(l(r))?
-18*r**4
Let t(r) = -r**3 + 6*r**2 + 8*r - 4. Let h(y) = y + 2. Let i be h(5). Let u be t(i). Let k(z) = u*z - 4*z + 0*z. Let p(w) = -w**2. What is k(p(x))?
x**2
Let p(h) = 2*h**2. Let u(j) = j**2 - 39*j. Let i be u(39). Let f(y) be the second derivative of 0*y**2 + i + 2*y + 7/6*y**3. Calculate p(f(c)).
98*c**2
Let y(u) = 6*u**2 - 8. Let r(s) = -6*s**2 + 22*s - 22. Let j(x) = x**2 - 4*x + 4. Let v(o) = 11*j(o) + 2*r(o). Determine v(y(g)).
-36*g**4 + 96*g**2 - 64
Let u(m) be the first derivative of 3*m**2/2 - 15. Let g(d) = d + 2. Determine u(g(a)).
3*a + 6
Let k(c) be the first derivative of 0*c - 42 - 1/2*c**2. Let f(z) = -8*z + 4. Calculate k(f(p)).
8*p - 4
Let j(k) = k**2. Let v(o) = 49*o. Let s(x) = -12*x. Let z = 0 + 0. Suppose z*n - 3*n + u = -10, 5 = 2*n - u. Let p(i) = n*v(i) + 21*s(i). Give p(j(g)).
-7*g**2
Let t(o) = -2*o. Let m(a) = 273036*a**2. Calculate m(t(n)).
1092144*n**2
Let o(z) = -213*z + 367*z - 161*z. Let m(h) = -7*h. Let d(w) = 15*w. Let u(x) = 6*d(x) + 13*m(x). Calculate u(o(y)).
7*y
Let k(p) = 3*p**2. Suppose 3*d + 0 = 6. Let s be (4/(-8))/(-1)*0 + 3. Let a(i) = -298*i - s*i**d + 298*i. What is a(k(c))?
-27*c**4
Let z(t) = 194*t**2. Let j(l) = -l + 2. Let n(m) = -3*m + 10. Let f(y) = 5*j(y) - n(y). Give f(z(a)).
-388*a**2
Let l(u) = -u - 3. Let d be l(-5). Let b(c) = -8*c - 10*c + d*c + 0*c. Let m(a) = -2*a**2. Give m(b(j)).
-512*j**2
Let n(k) = -9*k**2. Let t(u) = 10*u - 5. Let v be t(1). Let p(f) = -6*f - 14. Let d(o) = -2*o - 5. Let a(x) = v*p(x) - 14*d(x). Calculate n(a(r)).
-36*r**2
Let t(q) = -q**2. Let b be (0/3)/(-3) + (4 - 4). Let x(h) = -12*h + 0 - 23*h + b. Calculate x(t(c)).
35*c**2
Let k(g) = 63*g**2. Let f(r) be the third derivative of -r**5/30 + 72*r**2 + 2*r. What is f(k(b))?
-7938*b**4
Suppose 4 + 5 = o. Let g(k) = 2*k + 8*k - o*k - 2*k. Let h(z) = -6*z. Calculate g(h(i)).
6*i
Let h(r) = 3*r + 574. Let o(x) = 4*x + 578. Let l(i) = -5*h(i) + 4*o(i). Let g(c) = 2*c. Give g(l(a)).
2*a - 1116
Let l(m) = -2*m**2. Let r(k) = -375*k - 24. Let i(b) = -375*b - 20. Let y(j) = 6*i(j) - 5*r(j). Calculate y(l(v)).
750*v**2
Let s(t) = -6*t. Let k(r) = r**2 + r. Let z be k(-2). Let u be (-1)/1*(2 - z). Let n(f) = f - f - f + u. Determine n(s(i)).
6*i
Let o(l) = -1034*l. Let w(x) = 3*x. Let h(s) = -o(s) - 376*w(s). Let d(v) = -v. Calculate d(h(a)).
94*a
Let l(p) be the third derivative of -p**5/20 - p**4/2 + p**2 - 1. Let n(w) = w. Determine n(l(i)).
-3*i**2 - 12*i
Let m(v) = -11*v. Let j(h) = -14399*h**2. What is m(j(d))?
158389*d**2
Let p(m) = 2*m**2. Let y(v) = 100*v - 216*v + 91*v + v**2 + 83*v. Calculate y(p(u)).
4*u**4 + 116*u**2
Let b(k) = 3*k - 30. Let h(m) = -m + m - 296*m**2 + 298*m**2. Calculate h(b(u)).
18*u**2 - 360*u + 1800
Let z = -52 - -54. Let s(m) = -4*m**z + 3*m**2 - 3*m**2 + 7*m**2. Let o(f) = 10*f**2. What is s(o(y))?
300*y**4
Let q(s) = -s. Let g(i) = 9447*i**2 - 2. What is q(g(r))?
-9447*r**2 + 2
Suppose -2*r + 4 = -r. Let v(i) = -3*i + 0*i + 0*i + r*i. Let l(j) be the second derivative of -j**3/6 - 3*j. Give l(v(a)).
-a
Let h(d) = 6*d + 23869. Let a(y) = y**2. Give h(a(p)).
6*p**2 + 23869
Let o(j) = -175222*j**2. Let t(v) = -v. What is o(t(s))?
-175222*s**2
Let k(w) = -3*w**2 - 4. Let y(f) be the first derivative of 5*f**3/3 - 11*f**2/2 - 28. Let c(h) = -h**2 + 2*h. Let n(o) = 11*c(o) + 2*y(o). Calculate n(k(t)).
-9*t**4 - 24*t**2 - 16
Let y(i) = 166*i**2 - 11. Let j(m) = 3*m. Determine j(y(q)).
498*q**2 - 33
Suppose -5*c + 32 = -4*w + 4, -4*w - 8 = 0. Let i(p) = 4*p + p - 5*p - c*p. Let b(m) = -5*m**2. Determine i(b(g)).
20*g**2
Let t = -29 + 31. Let z(k) = 24*k**2 - 8*k**t - 13*k**2. Let s(h) = -h**2. What is z(s(b))?
3*b**4
Let z(r) = 1. Let f(y) = -y + 5. Let m(a) = -f(a) + 5*z(a). Let t(b) = -2*b + 93. Calculate t(m(s)).
-2*s + 93
Let o(a) = 2*a - 11. Let x be o(5). Let y be 1*18/3 + x. Let k(u) = -3*u + y*u + 3*u - 2*u. Let t(s) = -2*s. Calculate t(k(r)).
-6*r
Let l(d) = d. Let p(q) = -2*q**2 - 13*q + 112. What is p(l(a))?
-2*a**2 - 13*a + 112
Let n(g) = 16*g + 14*g - 36*g + 28*g. Let s(j) = -3*j. Give n(s(v)).
-66*v
Let q(w) = -234*w**2. Let v(t) be the third derivative of t**5/60 - 398*t**2. Calculate v(q(p)).
54756*p**4
Let g(t) = -13758*t. Let v(w) = 18*w. Give v(g(s)).
-247644*s
Let o(q) = -2*q**2. Let n(a) be the third derivative of a**6/36 + 3*a**4/8 + 10*a**2. Let z(f) be the second derivative of n(f). What is z(o(u))?
-40*u**2
Let d(c) = c + 17. Let l(j) = 2810*j**2. What is l(d(v))?
2810*v**2 + 95540*v + 812090
Let j(n) = -2*n. Let v(o) = -6*o - 5. Let d(x) = 7*x + 6. Let k(a) = -5*d(a) - 6*v(a). What is k(j(m))?
-2*m
Let w(u) = 19*u - 24*u - 1