*c. What is k(t(b))?
-4*b**2
Let f(r) be the third derivative of r**4/8 - 5*r**3/2 + 4*r**2 - 1. Let v(m) = -2*m**2. Determine v(f(y)).
-18*y**2 + 180*y - 450
Let g(k) = -3*k. Let t(r) be the second derivative of r**4/6 + r. Give t(g(a)).
18*a**2
Let r(x) = 0 + 0 + x**2. Let s(p) = -p - 1. Let i(o) = -1. Let m be (-7)/(-42) - 22/(-12). Let b(q) = m*s(q) - 2*i(q). Determine r(b(l)).
4*l**2
Let b(d) = 4*d**2. Let v(l) = 10*l - 4. Let t(a) = -19*a + 7. Let y(p) = -4*t(p) - 7*v(p). Calculate b(y(j)).
144*j**2
Let p(b) = -4*b**2. Let y(g) be the first derivative of -2*g**3/3 - 1. Determine y(p(q)).
-32*q**4
Let f(n) = -113*n**2 + 3. Let s(b) = 3*b**2. What is s(f(t))?
38307*t**4 - 2034*t**2 + 27
Let p(g) = 25*g**2. Let s(d) be the third derivative of -d**4/24 + 5*d**2. What is s(p(a))?
-25*a**2
Let h(z) be the first derivative of -z**2 - 3. Let g(b) = -7*b**2. What is h(g(n))?
14*n**2
Let p(d) = -1 + 2*d**2 + 1. Let g(n) be the first derivative of -3*n**2/2 - 6. What is g(p(y))?
-6*y**2
Let w(p) = -1 - 2*p + 1. Let k(b) be the second derivative of 0*b**2 + 3*b + 0 - 1/6*b**3. Calculate w(k(z)).
2*z
Let u(q) = 4*q - 481 + 481. Let z(l) = 4*l**2. Determine z(u(v)).
64*v**2
Let z(v) = -179*v**2. Let s(r) = 29*r. Calculate s(z(f)).
-5191*f**2
Let l(j) = 70*j**2. Let v(c) = -15*c. Calculate l(v(a)).
15750*a**2
Let j(s) be the third derivative of -s**5/30 + 2*s**2. Let z(t) = -2*t**2 + 10*t**2 + 52*t - 52*t. Determine z(j(n)).
32*n**4
Let z(u) = u - 7. Let p(a) = 5*a. Determine p(z(m)).
5*m - 35
Let n(r) be the third derivative of r**5/60 + r**2. Let v(t) be the second derivative of 0 + 0*t**2 + 3*t + 1/3*t**3. Determine v(n(q)).
2*q**2
Let d(o) = -12*o. Let h(c) = -15*c**2 + 67*c. Determine h(d(z)).
-2160*z**2 - 804*z
Let p(w) = w**2 + 3*w - 3. Let g(h) = 2*h - 2. Let n(s) = -3*g(s) + 2*p(s). Let r(m) be the second derivative of m + 0*m**2 + 0 + 1/6*m**3. Calculate n(r(z)).
2*z**2
Let h(g) = 13*g. Let x(a) = 8*a**2 + 2*a**2 - 11*a**2. Give x(h(k)).
-169*k**2
Let j(b) = b + 38. Let g(z) = z**2. Determine j(g(p)).
p**2 + 38
Let f(n) = -7*n**2 + 2*n + 2. Let b(c) = 28*c**2 - 9*c - 9. Let o(j) = 2*b(j) + 9*f(j). Let k(h) = 2*h. What is k(o(m))?
-14*m**2
Let i(d) be the second derivative of d**4/12 + 7*d. Let h(c) = 8*c. Calculate h(i(w)).
8*w**2
Let r(u) = -u**2. Let n(q) = -941*q. Determine n(r(m)).
941*m**2
Suppose -t = 4, -3*t - t = l + 12. Let s(a) = 12*a**2 - l*a**2 - 2*a**2 - 4*a**2. Let p(x) = 8*x. Give s(p(h)).
128*h**2
Let a = 4 + -1. Let o(z) = a*z - 2*z - 3*z. Let y(c) be the second derivative of -2*c**3/3 + c + 11. What is o(y(x))?
8*x
Let p(f) = 18*f. Let x(s) = -31*s**2. Determine x(p(r)).
-10044*r**2
Let b(v) be the third derivative of v**5/30 + v**3/2 - v**2. Let h(u) be the first derivative of b(u). Let n(r) = r. Give h(n(f)).
4*f
Let p(o) = 4*o. Let t(h) = 5*h**2 + 5*h**2 + 0*h**2 - 3*h**2. Determine t(p(k)).
112*k**2
Let u(t) = 2*t. Let r(n) = -8267*n - 65*n**2 + 8267*n. Calculate u(r(h)).
-130*h**2
Let w(b) = 2*b**2. Let f(y) be the first derivative of 0*y + 0*y**3 - 3/2*y**2 + 1/8*y**4 + 2. Let u(h) be the second derivative of f(h). What is w(u(z))?
18*z**2
Let i(q) = -26*q. Let h(b) = -69*b**2 + 39*b**2 + 31*b**2. Give h(i(t)).
676*t**2
Let h(t) be the first derivative of -t**3/3 + 1. Let f(y) be the first derivative of -7*y**3/3 - 14. Calculate h(f(d)).
-49*d**4
Let f(o) = -2*o. Let z(x) = 10*x**2 - 18*x**2 + 6*x**2. What is z(f(j))?
-8*j**2
Suppose -a + 8 = 3*a. Let s(i) = 3*i**2 + a*i - i - i. Let d(h) = 4*h - 2*h**2 - 4*h. Calculate s(d(j)).
12*j**4
Let o(g) = -2*g. Let i(b) = 571 - 571 - 2*b. Determine o(i(z)).
4*z
Let w(u) = 2*u. Let q be 22/6 - (-4)/(-6). Suppose -5*b + h + 3 = 0, -3*b = 2*b + h + q. Let x(i) = -i + 0 + b. What is w(x(n))?
-2*n
Let y(p) = -p**2 - p - 1. Let j(a) = 10*a**2 + 6*a + 6. Let q(m) = -m**2 + 6. Let v be q(0). Let s(o) = v*y(o) + j(o). Let x(t) = -2*t**2. Determine x(s(d)).
-32*d**4
Let x(j) = 2*j**2. Suppose 0 = -6*y + 2*y. Let l(v) be the second derivative of 0 + y*v**2 - 5/12*v**4 - v + 0*v**3. Give l(x(r)).
-20*r**4
Let c(y) = -5 - 5*y**2 + 5. Let f(m) = -1 - 1 + m**2 + 2. Give c(f(o)).
-5*o**4
Let n(u) = u**2. Let k(c) = -1655*c**2. Calculate k(n(f)).
-1655*f**4
Let k(i) = 7*i + 1219. Let s(g) = g. Determine s(k(u)).
7*u + 1219
Let t(h) = h - h + 2*h. Let b(j) = 4*j**2 + 3*j. Let u(i) = -5*i**2 - 4*i. Let x(l) = -4*b(l) - 3*u(l). Calculate x(t(p)).
-4*p**2
Let j(u) = -1333*u**2. Let x(t) = 3*t. Give j(x(k)).
-11997*k**2
Let j(i) = -9*i**2. Let q(a) = a**2 - 2*a + 2. Let w(o) = o**2 - 3*o + 3. Let v(f) = -3*q(f) + 2*w(f). Calculate v(j(s)).
-81*s**4
Let n(w) = 5*w. Let k(q) = 9*q**2 + 4*q. Give n(k(r)).
45*r**2 + 20*r
Let f(h) = 25*h. Let m(g) = 19*g. Give f(m(a)).
475*a
Let q(i) = 2*i**2. Let f(m) = -39*m + 21*m + 16*m. Give f(q(c)).
-4*c**2
Let n(k) = -4*k + 5. Let o(z) = z - 1. Let j(y) = -n(y) - 5*o(y). Let s(w) = -w**2 + 4*w - 4. Let b(a) = -a + 1. Let d(c) = 4*b(c) + s(c). Determine d(j(v)).
-v**2
Let f(c) be the second derivative of 7*c**3/6 - 6*c. Let b(a) = -3*a. Determine b(f(n)).
-21*n
Let h(g) be the first derivative of 2 + 0*g**2 + 0*g + 1/3*g**3. Let p(n) be the third derivative of -n**4/24 + 3*n**2. Determine p(h(t)).
-t**2
Let j(u) = 20*u**2. Let g(v) be the third derivative of v**4/12 + 16*v**2. Calculate j(g(y)).
80*y**2
Let o(v) = -8*v. Let l(k) be the second derivative of k**5/120 + k**3/2 + 3*k. Let g(y) be the second derivative of l(y). What is g(o(j))?
-8*j
Let b(x) be the second derivative of x**7/1260 - x**4/4 - x. Let c(t) be the third derivative of b(t). Let o(d) = 2*d. Give o(c(n)).
4*n**2
Let c(x) = -2*x. Let o(k) be the first derivative of 25*k**3/3 + 3. Determine o(c(u)).
100*u**2
Let m(x) = -2*x**2. Let o(i) be the second derivative of 13*i**4/12 + 5*i. Give o(m(r)).
52*r**4
Let c(t) = 17*t**2 + 8*t. Let y(b) = 6*b**2 + 3*b. Let v(k) = 3*c(k) - 8*y(k). Let d(f) = 4*f. Calculate d(v(q)).
12*q**2
Suppose 0 = u + u + 20. Let m be (2/5)/((-2)/u). Let g(z) = 1 - 3 + 3*z**m + 2. Let a(i) = 3*i**2. Determine g(a(j)).
27*j**4
Let q(b) = 95*b**2. Let g(d) = d. What is q(g(f))?
95*f**2
Let s(u) = 3*u - 1. Let t(f) = 4*f + 17. Calculate t(s(n)).
12*n + 13
Let d(a) be the second derivative of -5*a**3/6 + 28*a. Let r(v) be the first derivative of -2/3*v**3 - 1 + 0*v**2 + 0*v. Give r(d(p)).
-50*p**2
Let b(a) = 5*a + 8. Let r(k) be the third derivative of k**4/12 + k**3/2 + 4*k**2. Let l(w) = 3*b(w) - 8*r(w). Let j(p) = 3*p**2. What is j(l(u))?
3*u**2
Let m(a) = -a**2. Let o(y) = 6*y + 6*y + y. Give m(o(b)).
-169*b**2
Let r(n) = -4*n**2 + 3. Let u(o) = 2 - 6*o + 6*o - 3*o**2. Let d(t) = -4*r(t) + 6*u(t). Let h(z) = -5*z + 0*z + 2*z - 3*z. Determine d(h(y)).
-72*y**2
Suppose -17 - 7 = 2*d. Let r(c) = -9*c - 5. Let b = 7 - 2. Let t(s) = -22*s - 12. Let m(f) = b*t(f) + d*r(f). Let n(w) = 6*w. Calculate m(n(j)).
-12*j
Let z(h) = h**2. Let q be (16/4 - 3)*1. Let b(s) = 3*s - 6. Let r(x) = -1. Let n(k) = q*b(k) - 6*r(k). Calculate z(n(u)).
9*u**2
Let w(z) = 4*z - 1. Let s(j) = 13*j - 2. Let m(v) = -4*s(v) + 14*w(v). Let x(a) = -a**2. Calculate x(m(o)).
-16*o**2 + 48*o - 36
Let v(k) = 18*k. Let b(d) = 9*d**2 - 13*d. Let r(x) = -4*x**2 + 6*x. Let a(t) = 6*b(t) + 13*r(t). Give v(a(n)).
36*n**2
Let h(z) = -3*z**2. Let b(a) = 27*a. Determine b(h(v)).
-81*v**2
Let d(p) = p**2. Let q(t) be the second derivative of 0*t**2 + 0 - 4*t - 1/2*t**3. Determine q(d(n)).
-3*n**2
Let x(f) = -f + 3. Let n(v) = -v - 4 + 2 - 1 + 5. Let l(h) = 3*n(h) - 2*x(h). Let t(p) = 2*p**2. What is t(l(z))?
2*z**2
Let n(j) = -3694*j. Let k(q) = q. What is n(k(s))?
-3694*s
Let h(g) = -15*g. Let y(f) = 10*f. Determine h(y(u)).
-150*u
Let z(y) = -152*y - 3. Let o(m) = -3*m**2. Give z(o(b)).
456*b**2 - 3
Let g(t) = 2*t. Let z(v) be the third derivative of v**5/30 - 5*v**4/12 - 48*v**2 + 2*v. Give g(z(x)).
4*x**2 - 20*x
Let p(j) = -j. Let l(d) be the third derivative of d**6/120 + d**3/2 - 2*d**2. Let u(o) be the first derivative of l(o). What is u(p(y))?
3*y**2
Let d = 7 + -5. Let w(h) = d - h - 2. Let n(r) = -6*r**2 + 4*r + 4. Let s(i) = -5*i**2 + 3*i + 3. Let t(v) = -3*n(v) + 4*s(v). Determine t(w(a)).
-2*a**2
Let n be 5 + -1 - (1 + 1). Let v(r) = 2*r**2 - 2*r**2 + 2*r**n. Let z(l) = -43 + 2*l + 43 - 3*l. Give z(v(h)).