2
Let n(t) be the third derivative of 1/8*t**4 + 0*t**3 + t**2 + 0*t + 0. Let m(y) = 2*y + 0*y - 3*y. What is n(m(o))?
-3*o
Let k(t) be the third derivative of -t**5/60 + 2*t**2. Suppose 0 = -3*q - 1 + 7. Let f(m) = 4 - q*m - 4. Calculate f(k(d)).
2*d**2
Let z(u) = -321*u. Let i(y) = 3*y. Determine z(i(o)).
-963*o
Let s(h) = -3*h**2. Let t(x) = 6*x**2 + 5. Suppose 0 = 2*u + u + 54. Let w = u - -8. Let m(c) = c**2 + 1. Let i(l) = w*m(l) + 2*t(l). Calculate s(i(q)).
-12*q**4
Let h(j) = j. Suppose -13 = -3*l + s + 4, 2*l - 4*s = 18. Let f(y) = 3*y - l*y + 5*y. Calculate h(f(k)).
3*k
Let s(k) be the third derivative of -k**5/30 - 11*k**3/6 + 25*k**2. Let c(t) = -2*t. Give s(c(p)).
-8*p**2 - 11
Suppose 3*p = 11 - 5. Let c(o) = o**2 + 0*o**p + o**2. Let z(h) be the first derivative of -2*h**2 + 52. What is z(c(v))?
-8*v**2
Let d(z) = -3*z + 13. Let a(b) = b - 6. Let h(r) = -13*a(r) - 6*d(r). Let l(i) = 14*i. What is l(h(f))?
70*f
Let c(r) = -8*r**2 - r**2 + 5*r**2 + 3*r**2. Let u(g) = 27*g**2. Give c(u(h)).
-729*h**4
Let t(p) = 17*p + 22*p - 42*p. Let h(r) = 5*r**2. Calculate h(t(c)).
45*c**2
Let f(s) = -108*s**2. Let x(b) = -2*b**2 - 1. Calculate x(f(h)).
-23328*h**4 - 1
Let p(o) be the first derivative of 1/3*o**3 + 0*o - 1 + 0*o**2. Let y(g) be the third derivative of -7*g**4/24 - 2*g**2. What is p(y(c))?
49*c**2
Let h be 0*(-3 + 1 + 1). Let r(l) = 8 + 2*l + h*l - 8. Let p(c) = 15*c. Calculate p(r(b)).
30*b
Let x(b) = -1542*b**2 + 1. Let d(i) = -i**2. Calculate x(d(t)).
-1542*t**4 + 1
Let w(t) = -1 + 3*t**2 + 1 + t**2. Let d(x) be the first derivative of x**2/2 + 1. What is d(w(a))?
4*a**2
Let p(o) = 2*o. Let s(c) be the first derivative of -c**4/6 - 3*c + 2. Let r(u) be the first derivative of s(u). Give r(p(q)).
-8*q**2
Let s(g) be the third derivative of -g**5/60 + 40*g**2. Let x(m) = 3*m - 3*m + 2*m. Determine x(s(i)).
-2*i**2
Let n(k) = 36*k - 6. Let c(p) = p**2. What is c(n(m))?
1296*m**2 - 432*m + 36
Let p(x) = -5*x**2. Let a(r) = r. Suppose 0*v - 4*v = 4. Let d(w) = 8*w. Let g(i) = v*d(i) + 5*a(i). Determine g(p(t)).
15*t**2
Let j(s) = -3*s. Let b(u) = -1925*u**2. What is j(b(y))?
5775*y**2
Let w(f) = f**2. Suppose 3*t = 4*b - 2*t - 35, 5*b - 5*t = 40. Let k(g) = -6*g**2 - 14. Let p(r) = -2*r**2 - 5. Let c(s) = b*k(s) - 14*p(s). Determine c(w(x)).
-2*x**4
Let t(o) = o. Let y(h) = 3*h. Let u(r) = 4*t(r) - y(r). Let g(b) = -2*b + 6. Let j(x) = -4*x + 13. Let n(l) = -13*g(l) + 6*j(l). Calculate n(u(v)).
2*v
Let v(f) = 5*f. Suppose -3*g + g = 0. Let r(u) = u - u - u + g*u. What is r(v(y))?
-5*y
Let b(w) = -6*w**2. Let m(z) = -2*z - 54. What is m(b(d))?
12*d**2 - 54
Let j(n) = 2*n + 3*n + n. Let r(f) = 6*f**2. Calculate r(j(h)).
216*h**2
Let y(j) = -j**2. Let f(u) be the third derivative of 1/12*u**4 + 0 + 0*u**3 + 0*u + 3*u**2. What is f(y(b))?
-2*b**2
Let q(w) = w. Let x(c) = -9*c - 9*c + c. Determine x(q(b)).
-17*b
Let q(c) = 6*c. Let g(m) = 8*m**2. Give g(q(b)).
288*b**2
Let z(t) = t. Let f(c) be the third derivative of 0*c + 0 + 0*c**3 + c**2 + 1/30*c**5 + 0*c**4. What is f(z(w))?
2*w**2
Let c(x) = x. Let m(u) = -3*u**2 - 2*u + 2. Let v(s) = -48*s**2 - 33*s + 33. Let d(n) = -33*m(n) + 2*v(n). Calculate c(d(w)).
3*w**2
Let s(z) = z + 0*z + 0*z. Let o(t) = 3*t + 6. Let l(x) = -6*x - 13. Let h(n) = 6*l(n) + 13*o(n). Calculate h(s(m)).
3*m
Let k(y) = -821*y**2 + 1. Let m(r) = r**2. Give m(k(s)).
674041*s**4 - 1642*s**2 + 1
Let o(s) = -2*s**2 - 2*s**2 + 5*s**2 - 3*s**2. Let b(d) = 4*d**2. Determine b(o(p)).
16*p**4
Let p = 1 - -2. Let o(i) = 0*i - p*i + 2*i. Let b(m) = 6*m**2. Determine b(o(y)).
6*y**2
Let x(c) = 2*c**2 - 5*c - c**2 + 5*c. Let r(v) = -30*v**2. What is r(x(s))?
-30*s**4
Let r(c) = 2*c. Let k(o) = o - 47. Give k(r(t)).
2*t - 47
Let o(v) = -138*v**2 - 10. Let s(q) = -4*q. Determine o(s(g)).
-2208*g**2 - 10
Let i(f) = 62*f - 62*f + 2*f**2 - 14*f**2. Let z(n) = 2*n**2. Determine i(z(l)).
-48*l**4
Let i(x) = 4*x. Let h(r) = 15*r - 3*r - 9*r. Calculate h(i(o)).
12*o
Let c(y) = y**2. Let i(n) = -n. Let u be i(-2). Suppose -5*k - 24 = -3*x - 0*x, 3*k + 21 = 4*x. Let a(d) = -x - d**u + 3. Determine a(c(j)).
-j**4
Let u(j) = -3*j. Let p(x) = -6*x**2. Determine p(u(f)).
-54*f**2
Let l(d) be the first derivative of -9*d**2 - 3. Let c(v) = -v. Let h(s) = 15*c(s) - l(s). Let z(o) = 2*o**2. What is h(z(a))?
6*a**2
Let s(f) = 3*f**2. Let k = 2 - 3. Let a = 7 + k. Let d(i) = a + 2*i - 6. Determine d(s(y)).
6*y**2
Let t(z) be the second derivative of -z**4/6 + z. Let m = 13 - 4. Let b(w) = -8*w + m*w - 1 + 1. What is t(b(k))?
-2*k**2
Let v(f) = 11*f**2. Let m be v(2). Let g(h) = -m*h**2 + 17*h**2 + 12*h**2. Let u(j) = 2*j**2. Give g(u(w)).
-60*w**4
Let l(h) = 3*h. Let d(z) = -35*z**2 - 5*z + 5. Let x(p) = 17*p**2 + 2*p - 2. Let m(b) = -2*d(b) - 5*x(b). Give l(m(n)).
-45*n**2
Let i(f) = 1. Let c(t) be the first derivative of 3*t**2/2 + 2*t + 4. Let q(o) = -c(o) + 2*i(o). Let d(x) = x**2. Calculate q(d(n)).
-3*n**2
Let n(f) = 3*f**2. Let q(h) = -7*h**2. Determine q(n(w)).
-63*w**4
Let j(v) = -v**2. Let t(d) = -264*d**2. Calculate t(j(m)).
-264*m**4
Let v(u) = 2*u. Let f(s) = 10*s**2 + 11. Suppose -3*d = d - 12. Let a(n) = d + 0 - 2 + n**2. Let m(y) = -22*a(y) + 2*f(y). Give v(m(k)).
-4*k**2
Let i(j) = 32*j**2. Let b(o) = 301*o**2. What is b(i(w))?
308224*w**4
Let a(r) = 2*r**2. Let q(m) = -61*m + 3. What is a(q(v))?
7442*v**2 - 732*v + 18
Let q(y) = -41*y + 32. Let b(l) = -8*l + 6. Let j(s) = -11*b(s) + 2*q(s). Let t(m) = -m. Give j(t(a)).
-6*a - 2
Let r(q) = -2*q + 11. Suppose -15 = -5*y, 3*y - 15 = c - 0*c. Let x(n) = n - 6. Let g(w) = c*r(w) - 11*x(w). Let a(j) = j**2 - j**2 - 2*j**2. Determine g(a(d)).
-2*d**2
Let t(c) = c**2. Let w(a) = -6*a**2 - 23*a. Calculate t(w(f)).
36*f**4 + 276*f**3 + 529*f**2
Let x(u) = 2*u. Let h(t) = 21*t**2 + 12*t**2 - 30*t**2. Determine h(x(w)).
12*w**2
Let g(p) = 892*p**2. Let w(h) = 4*h. What is w(g(q))?
3568*q**2
Let o(v) = 3*v. Let x(r) be the first derivative of 2*r**3/3 - 4. Determine o(x(f)).
6*f**2
Let s(h) = h**2. Let a(l) = 8*l. Let n(q) = 7*q + 6. Let k(c) = -c - 1. Let z(g) = 6*k(g) + n(g). Let b(x) = 6*a(x) - 51*z(x). Give b(s(o)).
-3*o**2
Let l(n) = -14*n**2. Let s(m) = -34*m. Calculate l(s(z)).
-16184*z**2
Let f(j) = 33*j**2 + 3*j + 3. Let c(i) = 34*i**2 + 2*i + 2. Let l(a) = 3*c(a) - 2*f(a). Let s(v) = v. What is l(s(u))?
36*u**2
Let n(z) = 25 - 37 + 12 + z - 2*z. Let s(d) be the second derivative of 13*d**3/6 + d. Calculate s(n(u)).
-13*u
Let w(r) = -3*r**2. Let s = 5 - 3. Let i(v) = -3*v**2 + 2*v**2 + 2*v**s. What is i(w(f))?
9*f**4
Let v be 30/45 + 7/3. Let g(s) be the second derivative of 0 + 0*s**v - s + 0*s**2 + 1/12*s**4. Let q(h) = 4*h**2. What is q(g(w))?
4*w**4
Let z(c) = -2*c**2. Suppose 2*f - o - 9 = 0, f - o - 4 = 3. Let q(r) = -31*r + 8*r**f + 31*r. Calculate q(z(a)).
32*a**4
Let f(l) = 6*l + 2*l + 0*l - 6*l. Let m(k) = 2*k**2. Calculate m(f(g)).
8*g**2
Let j(c) = 14 - 38 + 2*c**2 + 24. Let h(u) = u**2. Give h(j(g)).
4*g**4
Let b(f) = 6*f**2 - 2. Let u(q) = -2*q. Calculate b(u(h)).
24*h**2 - 2
Let k(y) be the second derivative of -y**5/20 - y**4/12 + y**2 - 2*y. Let o be k(0). Let g(u) = 4*u - 4*u + o*u. Let l(r) = -5*r**2. Determine g(l(s)).
-10*s**2
Let o(w) be the first derivative of w**2/2 - 7. Let r(f) = -f. Let i be r(-2). Let n(v) = 0*v**2 - v**2 - v**i. Calculate o(n(z)).
-2*z**2
Let b(f) = -2*f**2. Let p be -2 - ((-129)/18 + 5). Let h(q) be the second derivative of 0 + 0*q**2 - p*q**3 - q. Calculate b(h(m)).
-2*m**2
Let k(p) = -11*p. Let c(f) = -13*f**2. Calculate c(k(o)).
-1573*o**2
Let v(c) = c. Let a(z) = 29*z**2. What is a(v(y))?
29*y**2
Let q(l) = 7*l**2 - 9*l**2 + 6*l**2. Let b(y) be the first derivative of y**2/2 - 7. What is b(q(k))?
4*k**2
Let l = 35 + 19. Let b(m) = 27*m - l*m + 29*m. Let d(t) = 2*t**2. What is d(b(k))?
8*k**2
Let q(m) = -137*m + 63*m + 50*m. Let p(d) = -d. Calculate p(q(c)).
24*c
Let p(s) = -2*s. Let j(q) be the first derivative of 53*q**3/3 + 29. Calculate p(j(o)).
-106*o**2
Let r(q) = -4*q. Let j(t) be the third derivative of t**6/720 + t**4/12 + 6*t**2. Let l(k) be the second derivative of j(k). Determine l(r(o)).
-4*o
Let n be (-2)/5 - (-17)/5. Let i(l) = -l - n*l + 6*l. Let p(c) = 2*c**2. Give p(i(t)).
8*t**2
Let v(l) = -l. Suppose 0 = s 