a(t(s)).
8*s**4
Let f(w) be the third derivative of w**5/60 - 22*w**2. Let b(i) = 2*i - 3*i - 2*i. Determine b(f(c)).
-3*c**2
Let p(w) = 2*w. Let j(n) = 504*n**2. Calculate j(p(o)).
2016*o**2
Let r(w) be the first derivative of -w**3 - 3*w**2/2 + 4. Let d(h) = -h**2. Determine d(r(i)).
-9*i**4 - 18*i**3 - 9*i**2
Let i(p) = 6*p. Let h(n) = -89*n**2. What is h(i(d))?
-3204*d**2
Let p(z) = z. Suppose -h + 6 = -4*h. Let a = 4 - h. Let l(j) = -a - j + 6. What is l(p(b))?
-b
Let h(z) = 7*z**2 - 14. Let f(r) = -r**2. Calculate f(h(l)).
-49*l**4 + 196*l**2 - 196
Let m(k) be the second derivative of k**3/6 + k. Let u(z) be the third derivative of z**5/20 - 18*z**2 - z. Calculate u(m(f)).
3*f**2
Let f(i) = -3*i**2. Let a(c) = 3*c**2. Let k(r) = 3*a(r) + 4*f(r). Let h = 0 - -1. Let j(u) = 1 + 2*u - h. Determine k(j(p)).
-12*p**2
Let f(s) = -1130*s. Let w(b) = b**2. What is f(w(n))?
-1130*n**2
Let b(s) = -3*s**2. Let t(x) = -4*x**2 + 3*x**2 - x**2. Calculate t(b(i)).
-18*i**4
Let y(w) = 4*w**2. Let p(b) = 14*b - 3. Determine y(p(i)).
784*i**2 - 336*i + 36
Let n(k) be the first derivative of k**2/2 - 4. Suppose -3*a = -4*d - 19, -a + d = 6*d. Let b(f) = a*f + 2 - 2. Calculate b(n(r)).
5*r
Let y(f) = -f. Let n = -57 - -38. Let j = n - -13. Let p(z) = 5*z**2 - 6*z + 6. Let m(d) = 4*d**2 - 5*d + 5. Let o(a) = j*m(a) + 5*p(a). Give y(o(r)).
-r**2
Let z(p) = 4*p. Let b(x) = -77*x**2 + 14*x - 14. Let s(a) = 26*a**2 - 5*a + 5. Let f(i) = 5*b(i) + 14*s(i). What is f(z(g))?
-336*g**2
Let p(w) = 2*w**2. Let a(k) = -6*k - 11. Let o(l) = l + 2. Suppose 2*b + 44 = 6*b + 2*z, 0 = z. Let x(n) = b*o(n) + 2*a(n). What is p(x(f))?
2*f**2
Let j(c) = -2*c**2 + 5*c + 5. Let r(z) = -z. Let m(y) = -j(y) - 5*r(y). Let a(g) be the first derivative of m(g). Let v(o) = 2*o + 0*o - 4*o. Calculate a(v(q)).
-8*q
Let m(l) = -2*l + 6. Let d(v) = -2*v + 5. Let r(h) = 6*d(h) - 5*m(h). Let p(j) = -j**2 - 7*j - 6. Let q be p(-6). Let k(u) = -1 + 3*u + 1 + q*u. Give k(r(a)).
-6*a
Let g(t) = -t. Suppose 4 = -2*f + 4*z, -3*f + 3*z + 0 = -6. Let n be (f/(-5))/(2/(-5)). Let a(r) = -4*r**2 + 3*r**2 + n*r**2. What is a(g(v))?
2*v**2
Let t(k) = -2*k + 19. Let v(w) = w - 9. Let j(g) = -2*t(g) - 5*v(g). Let l be j(5). Let d(y) = l*y + 0*y + 0*y. Let c(r) = -r. Determine c(d(o)).
-2*o
Let y(w) = 21*w. Let g(s) = 2*s**2 + 4*s. Let a(u) = -u. Suppose 2*i = 6*i - 16. Let f(d) = i*a(d) + g(d). Calculate y(f(v)).
42*v**2
Let o(x) be the third derivative of x**8/10080 + x**5/20 + 4*x**2. Let l(d) be the third derivative of o(d). Let w(j) = -j. Determine w(l(u)).
-2*u**2
Let x(q) = -3*q - 9. Let k(a) = -1. Let g(p) = -9*k(p) + x(p). Let u(b) = -2*b**2. What is u(g(d))?
-18*d**2
Let i(v) = -2*v. Let b(n) = -4*n. Let d(q) = 2*b(q) - 5*i(q). Let o(s) be the first derivative of -s**2 + 1. Give o(d(x)).
-4*x
Let l(a) = -7*a**2. Let c(x) = 2*x**2 + 11*x. Let n(f) = f**2 + 6*f. Let d(q) = 6*c(q) - 11*n(q). Give d(l(j)).
49*j**4
Let z(a) = -a. Let h(t) = -5*t. Let u(x) = -h(x) - 4*z(x). Let i(c) = -5*c. Calculate u(i(q)).
-45*q
Let f(i) be the third derivative of i**4/24 - i**2. Let g(n) = 1. Let u(t) = 0 + t**2 + 3 - 4*t**2. Let p(q) = 3*g(q) - u(q). Determine f(p(a)).
3*a**2
Let y(u) be the first derivative of u**2 - 1. Let s = 3 - 3. Let b(x) = s*x**2 - 6*x**2 + 4*x**2. What is b(y(p))?
-8*p**2
Let t(j) = -4*j**2. Let h(y) = 3*y - 4. Let d(k) = 8*k - 11. Let b(q) = 4*d(q) - 11*h(q). Give t(b(u)).
-4*u**2
Let i(r) be the second derivative of -r**4/8 + r**2/2 - r. Let w(g) be the first derivative of i(g). Let m(u) = -4*u + 4*u - u. What is w(m(d))?
3*d
Let f(o) = 11*o**2. Let t(h) = -22*h**2. Give t(f(u)).
-2662*u**4
Let a(q) = 2*q - q**3 - 2*q**3 - 1 + 2*q**3. Let k be a(1). Let d(l) = -2*l**2 + k*l**2 + l**2. Let x(p) = -2*p**2. Determine d(x(h)).
-4*h**4
Let b(s) = -30*s**2. Let l(c) = -2*c**2 - c. Determine l(b(z)).
-1800*z**4 + 30*z**2
Let c(r) = -11*r**2. Let p(v) be the third derivative of -v**7/2520 - v**5/15 + 2*v**2. Let m(d) be the third derivative of p(d). What is m(c(a))?
22*a**2
Let c(s) = -7 + 7 + 0*s - 2*s. Let j(f) = -6*f**2 - 2*f + 2. Let n(p) = -17*p**2 - 7*p + 7. Let o(v) = 7*j(v) - 2*n(v). Determine o(c(m)).
-32*m**2
Let g(i) = -i + 1. Let o(a) = -4*a + 5. Let t(p) = 5*g(p) - o(p). Let n = 2 + 0. Let d(y) = 3*y**2 + 0*y**2 + 2*y**n - 4*y**2. What is t(d(f))?
-f**2
Let f(o) = o**2 + 6 + 3 - 8. Let j(t) = 6 + 4*t**2 + 0 - 5*t**2 + 5*t**2. Let c(d) = -6*f(d) + j(d). Let q(i) = -2*i. Determine q(c(m)).
4*m**2
Let o = -4 - -6. Let u(d) = 2 + 2*d**o - 2 - 6*d**2. Let n(w) = -2*w. Give n(u(q)).
8*q**2
Let l(z) = -z**2. Let s(n) be the second derivative of -7*n**4/6 + 12*n. Calculate l(s(k)).
-196*k**4
Let i(q) = q - 5. Let l be i(9). Let r(s) = -4*s + 10*s**2 + l*s + 2*s**2. Let c(u) = -2*u. What is r(c(o))?
48*o**2
Let n(b) = b - 1. Let l(j) = -8. Let g(t) = 3*l(t) - 24*n(t). Let u(w) = -w**2. Give g(u(k)).
24*k**2
Let w(d) = 1 - 1 + 3*d. Let j = 12 - 5. Let z(s) = j*s - 3*s - 3*s. Give w(z(k)).
3*k
Let t(q) = -3 + 1 - 1 + 5*q. Let s(l) = -4*l + 2. Let h(m) = 3*s(m) + 2*t(m). Let n(d) = -d + 0*d + 0*d + 3*d. What is h(n(a))?
-4*a
Let j(o) = 2*o**2. Let h(f) = 5*f**2 + 67. Calculate j(h(b)).
50*b**4 + 1340*b**2 + 8978
Let d(a) be the first derivative of -4*a**3/3 - 6. Let h(n) = n**2 - 3*n - 3*n**2 + 3*n. What is d(h(g))?
-16*g**4
Let u(q) be the second derivative of -q**6/180 + q**3/3 - 4*q. Let t(w) be the second derivative of u(w). Let k(z) = 2*z + 5*z - z. Calculate k(t(o)).
-12*o**2
Let o(l) = -2*l**2. Let r(c) = -2*c - 16*c + 9*c. Calculate o(r(v)).
-162*v**2
Let m(q) = -6*q - 4. Let l(s) = 5*s + 3. Let r(g) = 4*l(g) + 3*m(g). Let p(o) be the second derivative of -7*o**4/12 + 3*o. Give p(r(b)).
-28*b**2
Let i(h) be the first derivative of 0*h**2 + 0*h + 1/3*h**3 + 5. Let c(n) = -2*n. Determine i(c(g)).
4*g**2
Let n(y) = 4*y**2. Let a(q) = 10*q**2. Give n(a(m)).
400*m**4
Let g(b) = 406*b - 1. Let q(h) = -h. Determine g(q(s)).
-406*s - 1
Let o(q) be the first derivative of 3*q**2/2 - 1. Let x(y) = -y. Let z(p) = -p. Let u(a) = -3*x(a) + z(a). What is u(o(k))?
6*k
Let s(q) = -43*q**2. Let v(m) = -3*m**2 - 16. Calculate v(s(l)).
-5547*l**4 - 16
Let b(z) = z + 2. Let n(q) = -5*q - 11. Let t be 14/6 + (-3)/9. Let g(x) = t*n(x) + 11*b(x). Let d(u) = 3*u. What is d(g(j))?
3*j
Let p(t) = -5*t - 2. Let o(v) = -v - 1. Let w(x) = 2*o(x) - p(x). Let m(g) be the first derivative of g**3 + 6. Calculate w(m(j)).
9*j**2
Let u(h) = 6*h. Let z(b) be the first derivative of -3*b**2/2 - 4. Let l(c) = 5*u(c) + 9*z(c). Let r(t) = -t. Determine l(r(p)).
-3*p
Let p(m) = 92 - 92 - 12*m. Let o(b) = b**2. What is p(o(y))?
-12*y**2
Let o(l) = 6*l**2 - 4*l**2 + 7*l**2. Let q(j) = 2*j. Calculate o(q(t)).
36*t**2
Let z(o) = 5*o**2. Let j(s) = -12*s**2 - 10*s + 10. Let n(a) = a**2 + a - 1. Let t(y) = -2*j(y) - 20*n(y). Give z(t(m)).
80*m**4
Let w(c) = -3*c. Let d = -10 + 14. Let y(p) = -d*p + 3 - 3 + 3*p. Calculate w(y(t)).
3*t
Let u(d) = -2*d**2. Let x(s) = 233*s**2. Give u(x(y)).
-108578*y**4
Let p(n) = 3*n. Let x(c) = 10*c**2 - 7*c - 7. Let z(g) = -7*g**2 + 5*g + 5. Let l(o) = -5*x(o) - 7*z(o). Determine l(p(b)).
-9*b**2
Let t(i) be the third derivative of -i**5/30 - i**2. Let v(z) be the second derivative of 0 + 0*z**2 + 1/2*z**3 + 4*z. Give v(t(p)).
-6*p**2
Let n(y) = -y. Let k(i) = i + 5. Let l(r) = -2*r - 7. Let z(p) = 7*k(p) + 5*l(p). Calculate z(n(c)).
3*c
Let x(z) = 11*z. Let m(h) = 8*h**2. Calculate m(x(o)).
968*o**2
Let n(z) = -77*z**2. Let r(k) = 2*k. Calculate n(r(f)).
-308*f**2
Let i(d) = 9*d. Let o(b) = 10*b**2 + 2*b. Give o(i(x)).
810*x**2 + 18*x
Let f(b) = 3*b. Let u(z) be the first derivative of 1 + 0*z**3 + 0*z**4 - z**2 - 1/60*z**5 + 0*z. Let r(l) be the second derivative of u(l). Give f(r(n)).
-3*n**2
Let j(d) = -d. Let g(i) = -i - i + 6*i - 2*i. Let z(o) = -3*g(o) - 5*j(o). Let u(f) = -2*f**2. Calculate z(u(t)).
2*t**2
Let x(h) = 15*h. Let v(u) = 39*u. Determine v(x(t)).
585*t
Suppose -4*p = -5*y - 26, 4*p + y - 2 = 3*p. Suppose 3*f + 9 = 5*w - 0*f, 4*f + p = 4*w. Let r(a) = 6*a - 4*a - w*a. Let n(v) = 2*v. Calculate n(r(h)).
-2*h
Let h(f) = -5*f. Let x(r) = -2. Let j(s) = s + 11. Let t(c) = -2*j(c) - 11*x(c). What is h(t(k))?
10*k
Let a(w) = -47*w**2. Let h(x) = -2*x + 2*x - 23*x**2 + 25*x**2. Determ