- 12*j. Let d(b) = -3*b. Determine i(d(w)).
9*w
Let i(g) be the second derivative of g**3/6 - g**2/2 - 2*g. Let b(n) = -6*n + 10. Let t(s) = b(s) + 10*i(s). Let m(a) = -a**2. Calculate m(t(o)).
-16*o**2
Let u(d) = -8*d. Let w(j) be the second derivative of -j**3/6 - 2*j. Determine u(w(q)).
8*q
Let a(f) be the third derivative of 1/24*f**4 + 0 + 2*f**2 + 0*f + 0*f**3. Let p(m) be the second derivative of m**4/4 + 2*m. What is a(p(h))?
3*h**2
Let l(a) = a. Let x(y) = 1. Let g(p) = 2*p**2 + 8. Let u(i) = -g(i) + x(i). Let r(b) = -b**2 - 5. Let m(n) = 7*r(n) - 5*u(n). Calculate l(m(c)).
3*c**2
Let u(s) = -2*s**2. Let w(k) = -24*k. Let i(v) = 3*v. Let f(b) = 33*i(b) + 4*w(b). Give f(u(o)).
-6*o**2
Let i(c) = 2*c. Let g(y) = 33*y**2. Give i(g(h)).
66*h**2
Let m(q) be the third derivative of -q**4/8 + 8*q**2. Let c(h) = 3*h. Calculate c(m(z)).
-9*z
Let i(m) = -4*m**2 + 15*m**2 + 7 + 4*m**2. Let v(w) = 7*w**2 + 3. Let x(l) = -3*i(l) + 7*v(l). Let o(q) be the first derivative of q**3/3 + 1. Give x(o(u)).
4*u**4
Let c(a) = 1. Let d(l) = -5*l + 3. Let x be (-6)/6 + (-2 - 0). Let i(u) = x*c(u) + d(u). Let f(b) = 2*b. Calculate f(i(n)).
-10*n
Let r(m) = -5*m**2. Let l(v) = -68*v + 1. Determine l(r(n)).
340*n**2 + 1
Let h(k) = -4*k**2. Let c(d) = 787*d - 4. Calculate c(h(g)).
-3148*g**2 - 4
Let p(l) = -15*l**2 + 11*l + 1. Let v(a) = 3*a**2 - 2*a. Let u(c) = 2*p(c) + 11*v(c). Let k(j) be the first derivative of u(j). Let i(y) = 2*y. Give i(k(f)).
12*f
Let h(v) = 0*v**2 - 4*v**2 - 5 + 3. Let p(q) = 21*q**2 + 11. Let m(b) = 11*h(b) + 2*p(b). Let x(t) = -4*t**2. Give x(m(u)).
-16*u**4
Let t(h) = 2669*h. Let a(y) = -2*y**2. What is t(a(n))?
-5338*n**2
Let i(a) = -a. Let z(y) = -142*y - 2. Give z(i(s)).
142*s - 2
Let c(m) = -m. Let b(l) = -44*l - 1. Calculate b(c(g)).
44*g - 1
Let v(u) be the second derivative of 0*u**3 + 0 + 0*u**2 + 1/6*u**4 + 2*u. Let n(p) = -p**2. Give v(n(g)).
2*g**4
Let n(i) = i. Let q(r) be the second derivative of -13*r**4/6 - 20*r. Determine q(n(u)).
-26*u**2
Let q(y) = -2*y. Let p(w) be the first derivative of w**6/360 + 2*w**3/3 + 1. Let x(a) be the third derivative of p(a). What is q(x(f))?
-2*f**2
Let d = 8 + -5. Let a(g) = -5*g**2 + d*g**2 + 5*g**2 - g**2. Let y(l) = -l. Determine y(a(x)).
-2*x**2
Suppose -2*b + 8 = 2*b. Let r be 5 + -2 + -2 + b. Let g(z) = r + 4*z**2 - 3. Let u(k) = -k. Determine g(u(s)).
4*s**2
Let g(l) = -2*l**2. Let m(w) = -2*w**2. Let r(o) = -4*g(o) + 3*m(o). Let i(k) = 0*k**2 - 3 - 2*k**2 + 3. What is r(i(a))?
8*a**4
Let g(a) be the first derivative of -a**3/3 + 1. Let o(q) = -q**2 + 5*q - 5. Let k be o(3). Let s(t) = t**2 - 1 + k - 4*t**2. Determine g(s(x)).
-9*x**4
Let g(z) = -z. Let p(y) be the third derivative of -y**5/15 - 7*y**2. Give g(p(n)).
4*n**2
Let d(n) = 21*n + 1. Let a(o) = -6*o**2. Calculate d(a(w)).
-126*w**2 + 1
Let a(q) = 2*q. Let o = 13 + -5. Suppose -u = u - o. Let z(h) = -2*h**2 + u*h**2 - 3*h**2. What is a(z(m))?
-2*m**2
Let q(p) = 19*p**2. Let x(o) = -o**2 - o**2 - 5*o**2 + 6*o**2. What is x(q(n))?
-361*n**4
Let u(n) = -n. Suppose m = -4*m + 5*d - 10, 3*d = -3*m - 18. Let o = m - -8. Let i(t) = -t + o*t - t. Calculate u(i(j)).
-2*j
Let z = 17 + -7. Let k = z + -7. Let g(d) = -d - 3*d + k*d. Let l(f) = -2*f**2. Give l(g(j)).
-2*j**2
Let y(o) = -o**2. Let z(f) = 60*f. Give y(z(g)).
-3600*g**2
Let c(u) = -58*u**2 + 19*u**2 + 17*u**2 + 23*u**2. Let q(g) = 2*g**2 + 54*g. Calculate q(c(p)).
2*p**4 + 54*p**2
Let z(u) be the first derivative of -u**3/3 + 3. Let f(y) = 5*y. What is f(z(l))?
-5*l**2
Let t(l) = -467*l. Let k(w) = -2*w + 11. Give k(t(o)).
934*o + 11
Let x(y) = 3*y**2. Let q(j) = 53*j**2 + 16. What is x(q(z))?
8427*z**4 + 5088*z**2 + 768
Let a(k) = -2*k**2 - k**2 + 2*k**2. Let h(i) be the third derivative of -i**5/60 - i**3/6 - 2*i**2. Let n(m) be the first derivative of h(m). What is n(a(v))?
2*v**2
Let l(u) = 2*u**2 - 54. Let f(k) = -18*k. Calculate l(f(p)).
648*p**2 - 54
Let j(n) = 4*n + 3. Let g(u) = u + 1. Let l(w) = -3*g(w) + j(w). Let b(i) = i**2 - 1. Let r(c) = -1 - 3 + 1. Let z(d) = -3*b(d) + r(d). Calculate l(z(x)).
-3*x**2
Let z(r) = r - 227. Let u(q) = 3*q**2. What is z(u(f))?
3*f**2 - 227
Let z(b) = -9*b**2. Let m(p) = -p + 4. Let y(u) = 3*u - 11. Let w(i) = -11*m(i) - 4*y(i). Calculate w(z(g)).
9*g**2
Let q(v) = 3*v**2 - 6*v**2 + 2*v**2. Suppose -5*g = -4*g - 3. Let c(b) = -4*b + g*b + 0*b. What is q(c(x))?
-x**2
Let q(v) = -121*v**2. Let k(f) = 12*f. Calculate k(q(a)).
-1452*a**2
Let j(c) = -3*c**2 + 4*c. Let u(x) = -2*x**2 + 5*x. Let q(f) = -5*j(f) + 4*u(f). Let p(v) = 2 - 5 + 3 - v. What is q(p(w))?
7*w**2
Let r(w) = w**2 + w + 3. Let v be r(0). Let i(y) = 0*y + y - v*y. Let z(s) = -3*s**2 + 0*s**2 + s**2. Determine i(z(p)).
4*p**2
Let i(j) = -5*j. Let x(n) = -n. Let z(t) = -2*i(t) + 11*x(t). Let k(p) = 4*p. Let v(a) = 5*k(a) + 15*z(a). Let u(b) = 3*b. What is u(v(w))?
15*w
Let v(s) = -300*s. Let a(d) = -2*d. Calculate v(a(t)).
600*t
Let g(s) = -15*s. Let v(x) = -6*x. Calculate v(g(z)).
90*z
Let q(n) be the first derivative of n**3 + 2 + n**2 - n**2. Let v(j) be the first derivative of j**2/2 - 5. Give q(v(o)).
3*o**2
Let w(f) be the third derivative of f**5/30 + 2*f**2. Let b = -14 + 21. Let d(g) = -7 + b + 3*g. Calculate d(w(z)).
6*z**2
Let f(j) = -j. Suppose 7*a - 3*a = 0. Let i(p) be the second derivative of a*p**2 + 0*p**3 + 0 - 3*p - 1/12*p**4. Give i(f(l)).
-l**2
Let y(k) = 3*k. Let b(q) = q**2 - q + 1. Let h(j) = 2*j**2 - 4*j + 4. Let t(f) = 4*b(f) - h(f). What is t(y(n))?
18*n**2
Let a(m) = 183*m**2 + 27*m + 27. Let u(q) = 14*q**2 + 2*q + 2. Let t(k) = 2*a(k) - 27*u(k). Let c(r) = r**2. Determine t(c(s)).
-12*s**4
Suppose 0*k + 8 = 4*k + 4*n, 4*n = 0. Let t(p) = 2*p**k + 0 + 0. Let g(f) be the second derivative of -f**4/12 + f. Give g(t(d)).
-4*d**4
Let u be ((-10)/(-4))/(5/(-10)). Let z(j) = j**3 + 6*j**2 + 4*j - 2. Let k be z(u). Let x(y) = 0*y + k*y - 4*y. Let d(a) = -a**2. Give d(x(w)).
-w**2
Let m(p) = -3*p. Let v(w) = -82*w. What is v(m(b))?
246*b
Let f(j) be the second derivative of j**4/12 - j. Let u(h) = 2*h. Calculate f(u(k)).
4*k**2
Let v = -3 + 5. Let g(t) = -2*t + 4*t + v*t. Let a(q) be the second derivative of q**3/3 - q. What is a(g(d))?
8*d
Let v(g) = 433*g**2 + 2. Let w(a) = a**2. Calculate v(w(q)).
433*q**4 + 2
Let s(o) = 13*o + 13*o - 27*o. Let h(m) = -16*m. Calculate s(h(q)).
16*q
Let r(b) = -4*b + 0*b + b. Let q(x) be the second derivative of -x**5/120 - x**3/6 - x. Let j(f) be the second derivative of q(f). Calculate r(j(u)).
3*u
Let b(q) = -q. Let z(u) = -5. Let h(s) = -3*b(s) + z(s). Let d(t) = t. Give d(h(a)).
3*a - 5
Let d(n) = 7*n**2 - 4*n - 4. Let j(p) = 27*p**2 - 15*p - 15. Let y(g) = 15*d(g) - 4*j(g). Let b = -6 - -9. Let c(w) = w + w - b*w. Determine c(y(o)).
3*o**2
Let q(w) = -2*w. Let j(g) be the third derivative of 35*g**4/24 - 23*g**2. Calculate q(j(n)).
-70*n
Let q(t) = 2*t. Let f(h) = -6*h - 118. What is q(f(n))?
-12*n - 236
Let q(l) = l + 3*l + 0*l. Let z(y) = -2*y**2. Give z(q(k)).
-32*k**2
Let x(r) = r. Let d(h) = -h**3 - h**2 - h - 2. Let q be d(0). Let s(f) = 2. Let p(i) = -i**2 + 9. Let o(b) = q*p(b) + 9*s(b). Give x(o(l)).
2*l**2
Suppose 0 = -4*j + 14*j. Let a(f) be the third derivative of 0 + 1/30*f**5 - 4*f**2 + 0*f**4 + j*f**3 + 0*f. Let x(o) = o**2. What is x(a(m))?
4*m**4
Let c(j) = 25666*j. Let x(p) = -2*p**2. Determine x(c(r)).
-1317487112*r**2
Let b(i) = 31*i**2 + 10*i - 13. Let w(f) = -15*f**2 - 5*f + 6. Let t(y) = -6*b(y) - 13*w(y). Let l(r) = 2*r. What is t(l(n))?
36*n**2 + 10*n
Let g(q) = -3*q**2 - 2*q + 2*q. Let s(v) be the third derivative of v**6/360 + v**3/2 + v**2. Let k(c) be the first derivative of s(c). Calculate k(g(r)).
9*r**4
Let u(k) = -30*k**2. Let n(c) = 5*c**2. Calculate n(u(f)).
4500*f**4
Let v(t) = 2*t. Let p(n) be the first derivative of 3*n**3 - 3. Determine p(v(u)).
36*u**2
Let a(r) = -6*r**2 + 5*r + 5. Let j(i) = -7*i**2 + 6*i + 6. Let t(z) = 6*a(z) - 5*j(z). Suppose -9*l = -10*l. Let n(m) = l*m - m - 2*m + 0*m. Determine t(n(h)).
-9*h**2
Let t(o) = 2*o**2. Let h(y) = 1074*y**2 + 2. Give t(h(a)).
2306952*a**4 + 8592*a**2 + 8
Let w(q) be the third derivative of 0 + 1/30*q**5 + 3*q**2 + 0*q + 0*q**4 + 0*q**3. Let g(v) = v**2. Calculate w(g(j)).
2*j**4
Let h(p) be the second deriv