4 + 1
Let i(t) be the first derivative of 2*t**3/3 + 40. Let g(c) = -5 + 3*c**2 + 5. Calculate g(i(v)).
12*v**4
Let q(w) be the third derivative of -w**5/20 - 2*w**2 + 41*w. Let j(u) = u - 4. Let m(f) = -1. Suppose x - 8 = -x. Let n(p) = x*m(p) - j(p). Give q(n(o)).
-3*o**2
Let l(i) be the second derivative of i**4/12 - 31*i. Let g(s) = s**2. Give g(l(m)).
m**4
Let m(a) = -3*a**2. Suppose 2*f + 3*f - 5 = 0. Let u(l) = -1 + f + 2*l. Give u(m(w)).
-6*w**2
Let g(l) = l**2. Let w(a) = -165*a**2. Give w(g(u)).
-165*u**4
Let a(m) = m. Let x(s) = -s**2 + 3*s. Let g(o) = -7*o + 2*o**2 + 4*o**2 - 3*o**2. Let r(i) = -3*g(i) - 7*x(i). Determine r(a(l)).
-2*l**2
Let t(q) = q. Let c(m) = -669*m**2. Calculate t(c(g)).
-669*g**2
Suppose 4*c - 4 - 24 = 0. Let s = -2 + c. Let r(p) = -6*p + 14. Let j(i) = 2*i - 5. Let m(u) = s*r(u) + 14*j(u). Let a(l) = -l**2. Calculate m(a(y)).
2*y**2
Let r(p) = -p**2. Let g(f) = 15*f**2 - 11*f + 11. Let c(b) = 4*b**2 - 3*b + 3. Let i(s) = -22*c(s) + 6*g(s). Calculate i(r(v)).
2*v**4
Let v(i) = 2*i + 23. Let k(a) = -14*a**2. Calculate k(v(j)).
-56*j**2 - 1288*j - 7406
Let y(i) = -46*i**2 - 1. Let h(t) = -15*t + 2. Give h(y(b)).
690*b**2 + 17
Let m(i) be the third derivative of -i**8/20160 + i**5/12 - i**2. Let x(o) be the third derivative of m(o). Let q(v) = -3*v. Give q(x(f)).
3*f**2
Let w(a) be the first derivative of -a**2/2 + 1. Let p(n) = -2*n + 5*n - 2*n. Determine p(w(k)).
-k
Let n(l) = 2*l - 91. Let h(p) = 5*p**2. Determine h(n(o)).
20*o**2 - 1820*o + 41405
Let k(s) = -s**2. Let w(c) be the third derivative of -5*c**4/8 - 2*c**2. Let m(a) = 7*a. Let d(v) = 5*m(v) + 2*w(v). What is d(k(n))?
-5*n**2
Let c(g) = -6*g + 10*g + g. Let r(m) = 8*m. Determine c(r(z)).
40*z
Let n(w) = 2*w. Let u(z) = 8*z - 2. Let i(o) = 81*o - 21. Let q(j) = 2*i(j) - 21*u(j). Give q(n(p)).
-12*p
Let j(s) be the third derivative of 0*s**3 + 0 + 5*s**2 + 1/20*s**5 + 0*s**4 + 0*s. Let v(n) = n. Give v(j(l)).
3*l**2
Let v(g) = 2*g**2. Let a = 8 + -5. Let n(d) = 3 + a*d - 6*d - 3. Determine n(v(r)).
-6*r**2
Let r(j) = -2*j**2. Let f = -18 - -12. Let k(g) = -7*g**2 - 5*g - 5. Let d(q) = -4*q**2 - 3*q - 3. Let o(z) = f*k(z) + 10*d(z). Determine r(o(h)).
-8*h**4
Let a(d) = -2*d**2. Let q(b) be the third derivative of 7*b**5/30 + b**2 - 8*b. What is q(a(l))?
56*l**4
Let v(j) = 2*j. Let t(k) = -4*k**2 + 6*k. Determine v(t(y)).
-8*y**2 + 12*y
Let p(t) = t**2 - 19*t. Let r(o) = -2*o**2. Give r(p(l)).
-2*l**4 + 76*l**3 - 722*l**2
Let x(c) = -58*c - 2. Let d(n) = 10*n + 2*n - 10*n. What is d(x(v))?
-116*v - 4
Let l(o) = -1. Let d(q) = 2*q - 5. Let k(n) = -d(n) + 5*l(n). Let z(w) = -w. Let j(c) = -5*c. Let x(i) = j(i) - 4*z(i). Determine x(k(y)).
2*y
Let c(n) = n**2. Let y(p) be the second derivative of p**4/3 + 2*p + 2. Calculate y(c(q)).
4*q**4
Let g(q) = -12*q. Let s(j) = j**2 - j**2 - 2*j**2. Give g(s(o)).
24*o**2
Let h(v) = -2*v. Let g be 4/14 + (-27)/21. Let w be 5*((-7)/5 - g). Let n(s) = 5*s. Let y(b) = 81*b. Let f(k) = w*y(k) + 33*n(k). What is f(h(t))?
-6*t
Let h(s) = 5*s**2. Let l(y) = y. Let x(p) = 3*p. Let c(n) = 4*l(n) + x(n). Calculate c(h(z)).
35*z**2
Let i(w) = -3*w. Let l(q) be the first derivative of -19*q**2/2 - 35. Give i(l(m)).
57*m
Let v(h) = h - 2*h + 2*h. Let n(u) = 13*u - 11. Let y(i) = -7*i + 6. Let w be (-21)/(-2) + 3/6. Let q(r) = w*y(r) + 6*n(r). Give v(q(c)).
c
Let a(g) = g. Let y(b) = -261*b**2. Calculate y(a(w)).
-261*w**2
Let k(c) = 5*c. Let v(x) be the third derivative of x**8/10080 - x**5/30 - 3*x**2. Let s(j) be the third derivative of v(j). What is k(s(y))?
10*y**2
Let q(w) = 25*w**2. Let p(r) be the third derivative of r**4/12 + 12*r**2. What is p(q(k))?
50*k**2
Let k(c) = 9*c**2 + c. Let b(j) = -13*j. What is b(k(n))?
-117*n**2 - 13*n
Let b(y) = 3*y. Let f(p) = 16*p + 3. Let u(m) = -65*m - 13. Let d(l) = 13*f(l) + 3*u(l). Determine b(d(r)).
39*r
Let d(h) = -5*h. Let u(n) be the third derivative of 0 + 0*n**3 - 2*n**2 - 1/4*n**4 + 0*n. Let q(z) = -4*d(z) + 3*u(z). Let a(r) = 2*r. Determine a(q(l)).
4*l
Let z(p) = -p**2. Let l(i) = -18481*i**2. Calculate l(z(y)).
-18481*y**4
Let q(t) = -t. Suppose -b - 26 = -4*r - 2*b, 5*r - 29 = -3*b. Let v = r + -2. Let h(w) = -4 + 4 + v*w. Determine h(q(d)).
-5*d
Let d(a) = 4*a**2. Let x(y) = -34*y. Give d(x(w)).
4624*w**2
Let z be (-15)/20 + (-23)/(-4). Suppose -3*i = 2*j - 2*i - 21, -4*j + 4*i + 12 = 0. Let y(l) = -j*l + 5*l + z*l. Let p(n) = -5*n. Give p(y(x)).
-10*x
Let u(m) = 41*m**2 - 13. Let o(w) = -8*w**2. Calculate u(o(a)).
2624*a**4 - 13
Suppose 0 = -h - 1 + 5. Let i(n) = n - 4 + h. Let t(v) = v - 3. Let o(p) = p - 2. Let r(m) = 6*o(m) - 4*t(m). What is r(i(w))?
2*w
Let m(y) = 4*y**2. Let d(l) be the second derivative of -l**3/3 + 13*l. Give m(d(b)).
16*b**2
Let s(w) = -3*w**2. Let k(v) = 714*v + 2. Calculate k(s(a)).
-2142*a**2 + 2
Let g(m) = m. Let h(y) = 56*y + 2. Determine h(g(r)).
56*r + 2
Let v(r) be the first derivative of r**3 - 1. Let j(u) = -1 - 2*u**2 - 5*u + u**2 + 5*u. Let c(w) = 1. Let m(q) = -c(q) - j(q). What is m(v(i))?
9*i**4
Let j(v) = -2*v**2 - v**2 + v**2. Let h(u) = -u. Determine h(j(z)).
2*z**2
Let r(w) = -w**2. Let x be -2*1*1*-1. Suppose -37*d + 35*d + 6 = 0. Let z(s) = d*s**2 - 2*s**x - 3*s**2 + 0*s**2. Give r(z(b)).
-4*b**4
Let n(f) = -f. Let m(g) = -g**3 - 21*g**2 + 2. Let w be m(-21). Let u(b) be the second derivative of -7/6*b**3 - w*b + 0 + 0*b**2. Determine n(u(c)).
7*c
Let l = -3 - -6. Suppose 0 = 5*u - y - l, -y + 6 = -3*y. Let x(w) = w**2 + u*w**2 + 2*w**2. Let k(d) = -2*d**2. What is x(k(s))?
12*s**4
Let n(k) be the first derivative of 9*k**2/2 + 1. Let j(g) = -1. Let u(o) = o**2 - 9. Let r(f) = -18*j(f) + 2*u(f). Calculate r(n(m)).
162*m**2
Let j(s) = -s**2. Let u(z) = z**2. Let t(n) = 5*j(n) + 6*u(n). Let g(f) = f**3 + 5*f**2 + f + 7. Let m be g(-5). Let h(p) = -3*p - m*p + p. Determine h(t(a)).
-4*a**2
Let f(l) = 4*l**2 + 4*l. Let o(z) = -4*z**2 - 3*z. Let b(w) = 3*f(w) + 4*o(w). Let p(u) be the first derivative of 1 + 0*u + 1/2*u**2. Calculate b(p(y)).
-4*y**2
Let u(x) = -4*x - 4. Let q(c) = 8*c + 9. Let v(l) = 4*q(l) + 9*u(l). Let m(f) be the third derivative of f**5/60 + f**2. Determine m(v(p)).
16*p**2
Let i(t) = 3*t**2. Let f(y) be the third derivative of y**7/1680 + y**5/20 + y**2. Let z(g) be the third derivative of f(g). Give i(z(h)).
27*h**2
Let q(w) = 66*w + 4. Let b(s) = s**2. Give b(q(t)).
4356*t**2 + 528*t + 16
Let c(r) = 2*r**2. Let f(s) be the second derivative of 0*s**3 + 0*s**2 + 0 + 3*s + 1/4*s**4. What is f(c(n))?
12*n**4
Let u(a) = 3*a**2 + 2*a - 2. Let q(j) = -7*j**2 - 5*j + 5. Let z(l) = -4*q(l) - 10*u(l). Let f(g) = 3*g**2. Determine z(f(n)).
-18*n**4
Let i(o) = -3 + 29*o**2 - 1 + 4 - 22*o**2. Let n(c) = 2*c - 3*c + 0*c. What is i(n(f))?
7*f**2
Suppose -3*n + n + 4 = 0. Let t(z) = 3*z - 2*z + 0*z - n*z. Let a(v) = 4*v**2 - 5*v**2 - 2*v**2. Determine a(t(o)).
-3*o**2
Let s(q) = -1 + 1 - 273*q + 269*q. Let m(y) = 4*y**2. Give s(m(f)).
-16*f**2
Let q(a) = 1 + 2*a - 1. Let s(j) be the third derivative of -11*j**4/24 - 2*j**2. Let z(w) = -17*w. Let d(h) = -8*s(h) + 5*z(h). Calculate q(d(l)).
6*l
Let l(x) be the third derivative of x**4/24 + 22*x**2. Let y(s) = -20*s**2. Give l(y(u)).
-20*u**2
Let d(n) be the third derivative of n**4/24 + n**3/6 - n**2. Let w(q) = q**2 + 5*q + 5. Let v(r) = -5*d(r) + w(r). Let f(m) = -4*m**2. What is f(v(o))?
-4*o**4
Let y(h) = 9*h**2. Let g(w) = 414*w**2. Give g(y(j)).
33534*j**4
Let d(p) be the second derivative of -p**6/180 - 5*p**3/3 - 9*p. Let j(f) be the second derivative of d(f). Let w(n) = n**2. Determine w(j(v)).
4*v**4
Let l(w) = 4*w**2. Let c(d) = 27*d**2 + 2. Give l(c(o)).
2916*o**4 + 432*o**2 + 16
Let k(t) = 25*t**2 - 44*t**2 + 21*t**2. Let a(g) = -2*g. Calculate k(a(r)).
8*r**2
Let g(h) = 311*h. Let w(o) = -2*o. What is g(w(r))?
-622*r
Let o(k) = 4*k. Let m = 13 - 10. Let z(g) = -m*g + 3*g + g. Calculate o(z(a)).
4*a
Let v(m) be the second derivative of 4*m**3/3 - 11*m. Let n(s) = 3*s**2. Give v(n(a)).
24*a**2
Let t(k) = -5*k**2 + k**2 + 5*k**2. Let w(a) be the first derivative of a**6/72 - 5*a**3/3 - 2. Let u(v) be the third derivative of w(v). What is t(u(p))?
25*p**4
Let z(n) = 92 + 2*n**2 - 92. Let q(a) = -39*a**2 - 2*a. What is z(q(o))?
3042*o**4 + 312*o**3 + 8*o**