w**2
Let p(f) be the second derivative of -f**4/6 - 6*f. Let v(q) = -2. Let w(g) = -g**2 + 3. Let n(l) = 3*v(l) + 2*w(l). What is p(n(i))?
-8*i**4
Let c(n) = -2*n**2. Let m(r) = -9*r**2 - 11*r + 11. Let b(s) = 5*s**2 + 6*s - 6. Let p(g) = -11*b(g) - 6*m(g). What is c(p(w))?
-2*w**4
Let y(m) = -2*m. Suppose -2*b = -b. Suppose -2*w - 3*w = -2*s + 15, b = 2*s + 2*w - 8. Let q(z) = -4*z - 2*z + s*z. What is y(q(n))?
2*n
Let o(g) = -11*g. Let y(b) = -11*b - 4 + 5*b + 4. Let c(h) = -4*o(h) + 7*y(h). Let i(k) = -k**2. What is c(i(l))?
-2*l**2
Let h(i) = 2*i. Let d(c) be the second derivative of -c**3/2 + 11*c. Give h(d(w)).
-6*w
Let b(i) be the first derivative of i**3/3 + 24. Let x(u) = 23*u. Determine b(x(n)).
529*n**2
Let s(b) = -2*b**2. Let d(l) = -1703*l**2. Calculate s(d(h)).
-5800418*h**4
Let p(o) be the third derivative of o**5/30 - o**2. Let r(z) = -6*z. Calculate r(p(l)).
-12*l**2
Let w(u) = -8*u**2 - 4*u. Let m(d) = -8*d**2 - 3*d. Let r(a) = 4*m(a) - 3*w(a). Let t(o) be the second derivative of o**3/6 - 47*o. Determine r(t(j)).
-8*j**2
Let n(a) = -5*a**2. Let h(x) = -3 - 4*x + 3*x - 1 + 5. Let b(c) = 6*c - 4. Let z(r) = b(r) + 4*h(r). Give n(z(w)).
-20*w**2
Let g(p) = -p. Suppose 3*m + 7 = 1, 0 = -3*o - 3*m. Let c = o + 1. Let i(v) = -c*v - v + 2*v. What is g(i(x))?
2*x
Let q(g) = 2*g**2. Let u(c) = -462*c**2. What is u(q(z))?
-1848*z**4
Let r(b) = -4*b. Let l(d) = 73*d**2. Determine l(r(o)).
1168*o**2
Let k(b) = b + b**2 - b. Let q(y) = 3*y - 3. Let d(j) = j**2 - j + 1. Let f(n) = -n**2 - 5*n - 7. Let l be f(-3). Let o(s) = l*q(s) - 3*d(s). Calculate o(k(a)).
-3*a**4
Let m(w) = 5*w**2. Let r = -26 - -52. Let q(n) = n**2 - 3*n - 3. Let p(f) = -4*f**2 + 13*f + 13. Let t(a) = r*q(a) + 6*p(a). What is t(m(c))?
50*c**4
Let v(a) = -a. Let t(j) = -55*j + 55*j - 8*j**2 + 19*j**2. Give t(v(m)).
11*m**2
Let g(f) = 2*f**2. Let q(n) be the third derivative of 0*n + 3*n**2 + 0*n**3 + 0 + 1/24*n**4. Give q(g(x)).
2*x**2
Let j(q) = -245*q**2. Let s(t) = -5*t**2 - 9*t. Calculate s(j(l)).
-300125*l**4 + 2205*l**2
Let i(k) = 9*k. Let p(j) = -2*j. Let m(t) = -12*t. Let v(w) = -m(w) + 5*p(w). Determine v(i(f)).
18*f
Let h(w) = 23*w**2. Let g(o) = 381 - 381 - o**2. What is h(g(z))?
23*z**4
Let a(d) = 13*d**2. Let u(z) = z**2 + 74. Determine u(a(v)).
169*v**4 + 74
Let y(i) be the first derivative of -6*i + 6*i - i**2 + 3. Let l(f) be the third derivative of -f**5/30 - f**2. Give y(l(s)).
4*s**2
Let q(p) = -2*p**2. Let g(c) = c**2 + 20*c. Determine g(q(j)).
4*j**4 - 40*j**2
Let v(p) = -12*p. Let f(y) = 16*y**2. Calculate f(v(w)).
2304*w**2
Let g(c) = -2*c**2. Let v(s) = -33*s + 2. What is g(v(n))?
-2178*n**2 + 264*n - 8
Let r(u) be the third derivative of 0*u**3 + 1/30*u**5 + 0*u**4 + 0*u + 0 - 3*u**2. Let t(w) = w**2. Calculate t(r(y)).
4*y**4
Let x(m) = m**2. Let b(t) = -16 + 43*t**2 + 8 + 8. Calculate x(b(q)).
1849*q**4
Let x(p) be the third derivative of -p**5/20 + 2*p**2. Let w(o) = 4*o - 6. Let b(h) = -3*h + 5. Let q(t) = 6*b(t) + 5*w(t). What is x(q(i))?
-12*i**2
Let t(b) = 281*b. Let f(q) = 4*q**2. Determine t(f(h)).
1124*h**2
Let s(k) = -3*k - 5. Let d(n) = 8*n + 14. Let q(g) = 5*d(g) + 14*s(g). Let w(a) be the third derivative of a**4/24 + 10*a**2. Give w(q(t)).
-2*t
Suppose -3*n = -0 - 12. Let y(g) = -4 + n + g**2. Let t(o) be the first derivative of -o**2/2 - 309. Calculate y(t(k)).
k**2
Let x be (-6)/3 + 3 + 1. Let f(r) = -3 - 5*r + 5*r**2 - x - 2*r**2. Let b(d) = 4*d**2 - 7*d - 7. Let w(l) = -5*b(l) + 7*f(l). Let c(i) = -i. Give w(c(p)).
p**2
Let y(u) be the first derivative of u**4/6 - 3*u**2 - 2. Let m(q) be the second derivative of y(q). Let r(p) = -p. What is r(m(t))?
-4*t
Let a(v) = -2*v**2. Let y(m) be the second derivative of m**6/90 - m**3/6 - 3*m. Let d(u) be the second derivative of y(u). Determine d(a(h)).
16*h**4
Let t(r) = r**2. Let o(q) be the first derivative of 2*q**2 - 13. Give o(t(s)).
4*s**2
Suppose -q = 4*o + 7, -2*q + 5*o - 2*o + 19 = 0. Let b(g) = -q*g + 1 - 1 + 11*g. Let u(p) = -p. Give b(u(v)).
-6*v
Let w(q) = -2*q**2. Let h(n) be the third derivative of -n**5/4 + 5*n**2. What is w(h(c))?
-450*c**4
Let x(o) = 3*o - 4*o + 0*o - 2*o. Let j(i) = -7*i. Determine j(x(h)).
21*h
Let c(p) = -p. Let i(v) = -4*v - 5. Let r(t) = 2*t + 3. Let j(g) = 6*i(g) + 10*r(g). Let f(o) = 7*o. Let b(l) = 3*f(l) + 5*j(l). Calculate b(c(w)).
-w
Let x(m) = 8*m**2. Let y(i) = -i**2 - 48*i. What is x(y(u))?
8*u**4 + 768*u**3 + 18432*u**2
Let a(y) = -2*y. Suppose 0*s = 3*s - 108. Let i(f) = s*f**2 - f + f - 33*f**2. Calculate a(i(b)).
-6*b**2
Let a(h) be the first derivative of -h**5/60 - 3*h**2 - 4. Let f(l) be the second derivative of a(l). Let d(x) = -2*x. Calculate f(d(q)).
-4*q**2
Let x(y) = -6*y. Let u(s) = -s**2 - 6. Let b(j) = -j**2 - 5. Let o(k) = -6*b(k) + 5*u(k). Give o(x(v)).
36*v**2
Let w(i) = i. Let x(u) = -131*u**2. Calculate x(w(c)).
-131*c**2
Let n(m) = m. Let u(v) = 11*v. Let i(g) = -3*n(g) + u(g). Let d(r) = r. Determine d(i(q)).
8*q
Let y(p) = 9*p + 14. Let i(t) = 11*t**2. Calculate y(i(z)).
99*z**2 + 14
Let a(d) = 0 - 5 + 4 + 2 - d. Let x(s) = -s**2 - 5*s + 5. Let n be x(-5). Let r(p) = 6*p - 5. Let y(v) = n*a(v) + r(v). Let o(b) = -2*b. Calculate y(o(k)).
-2*k
Let d(n) = 238*n**2 - 42. Let u(c) = -28*c**2 + 5. Let v(h) = -5*d(h) - 42*u(h). Let z(o) = 2*o**2. Calculate z(v(r)).
392*r**4
Let y(x) = 23*x - 11. Let i(w) = -w**2. Determine i(y(c)).
-529*c**2 + 506*c - 121
Let w(o) = -6*o**2. Let u(t) = -46*t. Calculate u(w(y)).
276*y**2
Let u(x) = -2*x**2. Let c(f) be the first derivative of 0*f**2 + 0*f - 5/3*f**3 - 3. Calculate u(c(z)).
-50*z**4
Let a(s) = -13*s**2. Let h(j) = -37*j + 3. What is a(h(d))?
-17797*d**2 + 2886*d - 117
Let q(h) = -10*h + 1. Let w(r) = -17*r. Determine w(q(u)).
170*u - 17
Let o(b) be the second derivative of b**3/2 - 31*b. Let p(w) = 19*w**2. What is o(p(y))?
57*y**2
Let u(x) = -x**2 + 4*x. Let s(o) = 8*o**2. Determine u(s(l)).
-64*l**4 + 32*l**2
Let w(y) = y. Let m(a) = 2*a + 18*a**2 - 9*a + 7*a. What is w(m(g))?
18*g**2
Let n(g) = -2*g**2. Let a(w) = -13004*w**2. Give n(a(f)).
-338208032*f**4
Let t(j) = -2*j**2. Let b(w) = 229 - 3*w - 229. What is t(b(r))?
-18*r**2
Let w(y) = -4*y**2. Let x(m) be the second derivative of -m**4/6 - 11*m. Determine x(w(n)).
-32*n**4
Let s(b) = -111*b**2. Let y(p) = -23*p. Give y(s(t)).
2553*t**2
Let i(q) = 7*q - 13. Let a(k) = 3*k - 6. Let y(j) = 13*a(j) - 6*i(j). Let z(d) = -6*d - 5. Let f(v) = -7*v - 6. Let o(g) = 5*f(g) - 6*z(g). What is o(y(h))?
-3*h
Let o(z) = 31*z - 17*z - z. Let l(v) = 2*v**2. What is l(o(r))?
338*r**2
Let n(c) = -c - 4. Let v = 11 + -7. Let q(o) = o + 1. Let j(l) = v*q(l) + n(l). Let z(y) = 2*y**2. Give z(j(m)).
18*m**2
Let f(n) = 9*n**2. Let m(d) = d + 181. Determine f(m(c)).
9*c**2 + 3258*c + 294849
Let s(b) = -b**2 - 4*b + 7. Let y be s(-5). Let a be y/4 + 21/6. Let u(r) = 0 + 0 + 3*r - a*r. Let n(m) = -7*m. Calculate u(n(l)).
7*l
Let p(x) be the first derivative of -x**3/3 + 1. Let k(b) be the second derivative of b**3/6 - 5*b. Give p(k(v)).
-v**2
Let i(n) = -266*n + 57. Let x(z) = 19*z - 4. Let r(y) = -4*i(y) - 57*x(y). Let h(o) = o**2. Give r(h(u)).
-19*u**2
Let p(d) be the second derivative of -d**4/6 + 3*d. Let h(m) be the first derivative of 2*m**3/3 - 5. What is p(h(w))?
-8*w**4
Let w(c) = -7*c. Suppose 0 = -2*j - 5*t - 8, -5*j + 3*j - 6 = 4*t. Let v(a) = -a + j + 1 - 2. Determine w(v(p)).
7*p
Let c = -5 + 8. Let u(y) = -3*y + 2*y**2 + 0*y**2 + c*y. Let b(x) = 3*x**2. Calculate b(u(q)).
12*q**4
Let v(s) = -s. Suppose -10 = 2*y - 4*y. Let a(m) = -y*m + 7*m - 6*m. Calculate v(a(u)).
4*u
Let p(c) = -14*c. Let g(q) = -6*q + 9*q - 4*q + 0*q. What is p(g(k))?
14*k
Let o(h) = -6*h**2 + 36*h + 4. Let x(c) = 2*c. Give o(x(p)).
-24*p**2 + 72*p + 4
Let q(k) = -6*k - 1. Let h(g) = -g - 1. Let c(j) = h(j) - q(j). Let p(i) be the first derivative of -i**3/3 + 1. Give p(c(y)).
-25*y**2
Let w(o) = -268*o. Let i(z) = z**2. What is i(w(x))?
71824*x**2
Let x(b) be the first derivative of -b**4/3 + 5*b - 5. Let f(h) be the first derivative of x(h). Let v(j) = j. Determine f(v(u)).
-4*u**2
Let c(s) = -s - 3. Let k(p) = 4*p + 11. Let m(y) = 22*c(y) + 6*k(y). Let t(n) = -2*n. Give t(m(r)).
-4*r
Let l(g) = 53*g. Let x(v) = -60*v. Determine l(x(p)).
-3180*p
