**4
Let y(z) be the third derivative of 0 + 1/24*z**4 - z**2 + 0*z + 0*z**3. Let d(w) = -w. Let s(o) = 4*o. Let h(a) = 5*d(a) + s(a). Determine y(h(x)).
-x
Let v(w) = -2*w. Let l(b) = 7*b - 7 + 1 + 6. Let k(y) be the third derivative of -y**4/8 - 2*y**2. Let f(q) = -5*k(q) - 2*l(q). Determine f(v(a)).
-2*a
Let a(v) = -7*v. Let d(n) be the first derivative of n**3 - 13. Determine a(d(x)).
-21*x**2
Let p(h) = -2*h. Let s = 9 + -8. Let w(q) be the first derivative of 0*q + s + 1/2*q**2. Calculate w(p(a)).
-2*a
Let o(s) = 2*s. Let h(l) = -1645*l. Determine o(h(u)).
-3290*u
Let x(s) = -9*s. Let p = 14 - 12. Let o(c) = 0*c**p + 2*c**2 - 4*c**2. What is x(o(u))?
18*u**2
Let p(k) = 7*k. Let n(q) = -4*q. Let x(g) = -5*n(g) - 3*p(g). Let l = 2 - 1. Let t(y) = y + 1. Let h(u) = -3*u - 5. Let m(w) = l*h(w) + 5*t(w). What is x(m(c))?
-2*c
Let t(w) be the second derivative of w**3/3 - 2*w**2 + w. Let o(u) = -1. Let x(l) = -4*o(l) + t(l). Let a(c) = 5*c**2 - 2*c**2 - 2*c**2. What is a(x(v))?
4*v**2
Let z(k) = -2*k. Suppose i + 3 = -3. Let c be ((-2)/i)/((-2)/(-12)). Let q(d) = 5*d**c - 4*d**2 + 2*d**2. Determine z(q(w)).
-6*w**2
Let t(y) = y**2 - 5. Let n(z) = 7*z**2 + 5*z - 5. Let i(p) = 4*p**2 + 3*p - 3. Let h(o) = -5*i(o) + 3*n(o). Determine h(t(v)).
v**4 - 10*v**2 + 25
Let m(t) = -466*t**2. Let b(r) = r**2. Determine m(b(j)).
-466*j**4
Let g(w) = 3*w. Suppose -4 + 13 = 3*z. Let a(x) be the third derivative of 0 - 1/24*x**4 + 0*x**z + 0*x - x**2. What is g(a(u))?
-3*u
Let y(i) = -3*i. Let u(t) be the third derivative of -11*t**4/24 + 28*t**2. Determine y(u(g)).
33*g
Let o(v) = -2*v. Let a(q) be the third derivative of -q**6/180 + q**4/12 + 2*q**2. Let c(p) be the second derivative of a(p). Determine c(o(i)).
8*i
Let g(y) = -46*y. Let c(w) = 6*w**2. Calculate c(g(t)).
12696*t**2
Let l(q) = 6*q - 8. Let v(m) = -2*m + 3. Let d(z) = -3*l(z) - 8*v(z). Let g(f) be the second derivative of -f**3/6 - 4*f. Give d(g(c)).
2*c
Let y(p) be the third derivative of -p**4/24 + 7*p**2. Let u(w) = 2*w. Give u(y(s)).
-2*s
Let a(k) = -93*k**2. Let r(l) = l. Determine r(a(h)).
-93*h**2
Let o(d) be the second derivative of d**5/30 - d**2 - d. Let a(m) be the first derivative of o(m). Let r(h) be the first derivative of -h**3 - 1. Give r(a(n)).
-12*n**4
Let x = 169 - 1009/6. Let u(n) be the second derivative of 0 + 0*n**2 + x*n**3 - n. Let t(i) = 2*i**2. What is u(t(c))?
10*c**2
Let s(y) = 31*y**2. Let t(k) = -k**2. What is s(t(b))?
31*b**4
Suppose 0*m - 4*m = -4*l - 12, 4*l + 3*m - 23 = 0. Let w(h) = -2*h**2 + 3*h**l + 0*h**2. Let j(c) = c**2 + c**2 - c**2. Determine j(w(o)).
o**4
Let i(m) be the first derivative of m**2 + 54. Let t(n) = -2*n**2. What is i(t(d))?
-4*d**2
Let p(t) be the first derivative of t**3/3 + 32. Let r(f) = 7*f**2. Give r(p(m)).
7*m**4
Let y(j) = 2*j + 5. Let a(u) = 2*u + 6. Let s(z) = 5*a(z) - 6*y(z). Suppose 10 = -2*x + 5*t, 3*t - 14 = -2. Let q(m) = m - 4 - 1 + x. What is s(q(k))?
-2*k
Let n(d) = d. Let j be 4 + -1 + 1/(-1). Let k(s) = -3*s**j - 2*s**2 + 4*s**2. Determine n(k(u)).
-u**2
Let f(i) = 2*i**2. Let j(n) = 2*n**2 + n. Calculate j(f(p)).
8*p**4 + 2*p**2
Let s(n) = -12*n**2 + 21*n. Let z(j) = j. What is z(s(u))?
-12*u**2 + 21*u
Let t(z) = 1 - 1 - z. Suppose 3*n = 8 - 2. Let q(g) = 5*g**n - g**2 - g**2 - 2*g**2. Determine t(q(l)).
-l**2
Let z(i) = -i + 7. Let y be z(7). Let k be y/(-1 + 4) + 2. Let n(s) = 4*s**k + 0*s + 0*s. Let v(a) = a. Calculate v(n(x)).
4*x**2
Let u(q) = 3*q. Let b(y) = -22*y. Determine b(u(g)).
-66*g
Let m(x) be the first derivative of 8*x**3/3 - 5. Let n(k) = -2*k**2. Give n(m(g)).
-128*g**4
Let p(n) = n**2 + 4*n. Let f(i) be the second derivative of i**3/2 + 2*i. Let j(m) = -4*f(m) + 3*p(m). Let h(l) = l. Determine h(j(t)).
3*t**2
Let d(c) = 24*c - 2. Let z(a) = -a**2 + 11*a. What is z(d(i))?
-576*i**2 + 360*i - 26
Let z(c) = -8*c. Let f(x) = 7*x**2 + 6*x**2 - 22*x**2 + 6*x**2. What is z(f(t))?
24*t**2
Let k(p) = 32*p**2. Let a(g) = -8*g**2. Calculate a(k(z)).
-8192*z**4
Let y(j) = -10*j. Let b(n) = 6*n**2 + 11. Let t(d) = -d**2 - 2. Let w(x) = 2*b(x) + 11*t(x). Calculate y(w(o)).
-10*o**2
Let r(h) = -h**2. Let b(i) = 24*i. Give b(r(o)).
-24*o**2
Let k(v) = -205*v**2. Let j(r) = 7*r. Determine k(j(b)).
-10045*b**2
Let r(p) = -1274*p**2 - 2*p - 1. Let h(q) = -q**2. What is r(h(u))?
-1274*u**4 + 2*u**2 - 1
Let o be (0 - 3) + (1 - 1). Let a = 4 + o. Let m(h) = -1 + a + 4*h**2. Let t(f) = f**2. Calculate m(t(y)).
4*y**4
Let o(f) = f. Let x = -12 + 15. Let b(w) = 6*w - 3. Let v(y) = -y + 1. Let n(i) = x*v(i) + b(i). Determine n(o(z)).
3*z
Let i(z) = -2*z**2. Let b(x) = 326*x**2. Calculate i(b(c)).
-212552*c**4
Let a(s) = s. Let y(n) = 529*n. Give a(y(h)).
529*h
Let o(k) = 1967*k**2. Let t(b) = -8*b**2. Give t(o(g)).
-30952712*g**4
Let w(q) = -25*q**2 - 2*q. Let c(d) = 43*d. Determine w(c(j)).
-46225*j**2 - 86*j
Let d(p) = -93*p - 2 + 91*p + 4 + 7. Let m(f) = -2*f. Calculate m(d(y)).
4*y - 18
Let p(h) = -25*h**2. Let u(g) = -12*g**2. What is p(u(n))?
-3600*n**4
Let c = -7 - -10. Let t be 0 + 1 + -2 + c. Let p(n) = -2*n**2 - n**t + 5*n**2 + 0*n**2. Let u(a) = -a. Give p(u(i)).
2*i**2
Let s(k) = -10*k**2 - 6. Let t(l) = -6*l**2. Determine t(s(w)).
-600*w**4 - 720*w**2 - 216
Let c(o) = o**2. Let y(w) = 2*w + 57. Determine y(c(k)).
2*k**2 + 57
Let b(w) be the first derivative of -8*w**3 - 50. Let z(m) = -3*m. Determine z(b(p)).
72*p**2
Suppose -n - n - 18 = -4*m, 1 = m + 3*n. Suppose m*h + 3*v = 0, -2*v - 3*v = -4*h + 32. Let w(r) = h*r - 3*r - 2*r**2 + 0*r. Let z(x) = -x. Determine z(w(q)).
2*q**2
Let f = 13 + -12. Let d(y) = -3*y - 1 + 0 + f. Let q(v) = 4*v**2 + 0*v**2 - 2*v**2. Give d(q(k)).
-6*k**2
Let i(o) = -o**2 - 205*o - 6. Let f(b) = -b. Calculate f(i(w)).
w**2 + 205*w + 6
Let h(j) = -5*j. Let n(u) = -1955*u - 1. Calculate n(h(b)).
9775*b - 1
Let o(r) = -r. Let x(l) = -513*l**2. Determine o(x(f)).
513*f**2
Let k(i) = 5*i**2 - 5*i + 72. Let z(r) = r. Give k(z(y)).
5*y**2 - 5*y + 72
Let s(d) = 2*d. Let r(a) be the second derivative of -5*a**3/3 - 6*a. Give s(r(u)).
-20*u
Let a(b) be the first derivative of -3*b**2/2 + 7. Let u(i) = 0*i**2 - i**2 + 3*i**2. Determine u(a(o)).
18*o**2
Let q(n) = 8*n**2. Suppose 0 = u - 6*u + 160. Let z(f) = 32 - u - f. Calculate z(q(c)).
-8*c**2
Let y(w) = -12*w**2. Let n(i) = -i - 28. Determine y(n(g)).
-12*g**2 - 672*g - 9408
Let h(u) = u**2. Let p(q) = -q**2 + 8*q - 8*q + 0 + 5. Calculate h(p(z)).
z**4 - 10*z**2 + 25
Let q(l) = l**2 + l - 1. Let o(v) = 20*v**2 + 10*v - 10. Let r(z) = o(z) - 10*q(z). Let s(m) = -2*m**2. Determine s(r(g)).
-200*g**4
Let a(p) = p. Let f(k) = 122*k. Give f(a(j)).
122*j
Suppose 0 = -5*j + 10*j. Let r(q) be the third derivative of j*q + 0*q**4 + 0*q**3 + 1/60*q**5 + 0 + 2*q**2. Let l(f) = f**2. Give r(l(y)).
y**4
Let s(n) = -10*n**2 - 4. Let o(q) = -19*q**2 - 7. Let x(p) = 4*o(p) - 7*s(p). Let z(r) = 11*r**2. What is z(x(u))?
396*u**4
Let q(j) = 2*j. Let m(d) = 5*d**2 + 5. Let y(g) = -6*g**2 - 4. Let c(k) = -4*m(k) - 5*y(k). Determine q(c(a)).
20*a**2
Let j(w) = w**3 - 10*w**2 + 3. Let m be j(10). Let u(g) be the first derivative of -2 + 0*g**3 + 0 - 2*g**m. Let h(n) = -2*n. Determine h(u(r)).
12*r**2
Let p(k) = -4*k**2. Let b = -17 + 20. Let r(z) = 7*z**2 - 2*z**2 - b*z**2. Give r(p(o)).
32*o**4
Suppose p + 2 = 6. Suppose 0 = -k - q - 7, -3*k + 2*q = k + 16. Let w(z) = -2*z. Let o(l) = -2*l. Let g(t) = k*o(t) + p*w(t). Let y(i) = i. Give g(y(s)).
2*s
Let p(y) = y. Let c(f) = 6 + 0 + 7*f - 6. What is p(c(z))?
7*z
Let f(c) = 2*c. Let o(l) = -40*l - 4. Determine o(f(a)).
-80*a - 4
Let h(w) = 0*w - 2*w + 0*w. Let l(v) = v + 1. Let c(d) = -d + 3*d + d + d + 2. Let n(m) = c(m) - 2*l(m). What is n(h(z))?
-4*z
Let o(g) = 2*g. Let c(r) be the first derivative of -3*r**2 - 4*r - 24. Determine c(o(f)).
-12*f - 4
Let l(n) be the third derivative of -7*n**2 + 0 + 0*n**4 + 0*n**3 + 0*n - 2/15*n**5. Let b(p) = 2*p**2. Calculate b(l(i)).
128*i**4
Let q(n) = -8089*n**2. Let c(s) = s. Determine c(q(z)).
-8089*z**2
Suppose 3*f - 2*f - 10 = -2*o, 18 = f + 4*o. Let q(p) = 2*p**2 - 8*p**2 + 8*p**f. Let i(c) = -c**2. Determine i(q(b)).
-4*b**4
Let b(d) = 34*d. Let s(k) = 3*k**2. Give b(s(u)).
102*u**2
Let i(u) be the third derivative of -u**5/60 - 21*u**2. Let m(v) = 6*v**2 - v**