k(c). Let w(z) = -4*z**2. Determine w(n(u)).
-4*u**2
Let m(u) = 2808*u. Let z(o) = -o. What is z(m(g))?
-2808*g
Let q(x) = -44*x. Let r(p) = 6*p. Calculate q(r(o)).
-264*o
Let w(b) = -28 + b**2 + b**2 + 28. Let o(f) = -5*f**2. What is o(w(p))?
-20*p**4
Let m(p) be the second derivative of p**4/12 - 7*p - 9. Suppose 4*h + 15 = 2*h - 5*c, c = 3*h - 3. Let l(w) = w + w + w + h. What is l(m(a))?
3*a**2
Let p(x) = 3*x**2 - 2*x**2 + 0*x**2. Let s(o) = -o**2 + 3*o + 3. Suppose 0*f + 3 = 3*f. Let k(z) = z + 1. Let h(i) = f*s(i) - 3*k(i). Determine p(h(l)).
l**4
Let g(n) be the third derivative of 0 + 1/12*n**4 + 0*n**3 + 2*n**2 + 0*n. Let f(b) = 3*b + 7. Let i(d) = d + 2. Let a(x) = 2*f(x) - 7*i(x). Give g(a(w)).
-2*w
Let c(t) = -5*t**2 - 9*t + 9. Let j(a) = -a**2 - 2*a + 2. Let v(g) = 2*c(g) - 9*j(g). Let y(s) be the first derivative of 0*s + 1/2*s**2 - 3. Calculate y(v(q)).
-q**2
Let k(a) = 5*a**2. Let w(c) = -3*c**2 + 3*c**2 + 5*c**2 + 2*c**2. What is w(k(m))?
175*m**4
Let p(k) = 2*k**2. Let v(b) be the first derivative of 0*b**2 + 0*b + 1 + 1/3*b**3. Calculate p(v(a)).
2*a**4
Let p(g) = -14*g**2 + 6. Let m(w) = -3*w**2. What is m(p(x))?
-588*x**4 + 504*x**2 - 108
Let z(l) = -2*l**2 - 3. Let m(x) = -10*x**2 - 14. Let q(k) = 3*m(k) - 14*z(k). Let u(s) = -2*s**2 - 4*s. Calculate q(u(a)).
-8*a**4 - 32*a**3 - 32*a**2
Let l(n) = 2 - 1 + 51*n**2 - 53*n**2 - 1. Let x(d) be the third derivative of -5*d**4/12 + d**2. What is x(l(a))?
20*a**2
Let j(r) = 4*r**2. Let o(d) = 10*d + 16. Let v(b) = 3*b + 5. Let c(l) = -5*o(l) + 16*v(l). Calculate c(j(k)).
-8*k**2
Let m(t) = 10*t + 1 - 1 - 11*t. Let q(f) be the third derivative of -f**7/1260 + f**5/30 + 2*f**2. Let g(r) be the third derivative of q(r). What is g(m(w))?
4*w
Let g(l) be the third derivative of l**6/360 - 7*l**4/24 + 2*l**2. Let t(q) be the second derivative of g(q). Let c(x) = 3*x. Calculate c(t(o)).
6*o
Let i(g) = 12*g - 5*g - 2*g - 3*g. Let r(j) = 8*j**2. What is r(i(u))?
32*u**2
Let d(n) = 0*n + 2*n - 3*n. Let a(x) = x**2 + 4*x. Let b(f) = f. Let i(j) = a(j) - 4*b(j). What is d(i(s))?
-s**2
Let l(i) = -2*i. Suppose -6 = -2*q - q. Let g = q - -2. Let v(f) = -g + f**2 + 2 + 2. Determine v(l(z)).
4*z**2
Let n = 6 - 4. Let f(c) = -c + c + 2*c**n. Let u(x) = -4*x**2 - 5*x + 5. Let g(z) = -3*z**2 - 4*z + 4. Let p(j) = -5*g(j) + 4*u(j). What is p(f(w))?
-4*w**4
Let k = 55 + -53. Let a(o) be the first derivative of 0*o - 1 + 1/2*o**k. Let p(h) = -2*h**2. Calculate p(a(f)).
-2*f**2
Let s(b) = -8*b - 3. Let a(k) = 16 + 7 + 68*k + 27*k + 12. Let j(z) = 3*a(z) + 35*s(z). Let y(g) be the third derivative of -g**4/12 - 2*g**2. Give y(j(n)).
-10*n
Let r(b) = -3*b**2 + 4*b**2 + 0*b**2. Let l(a) be the third derivative of a**4/12 + 5*a**2. What is l(r(f))?
2*f**2
Let i(m) be the second derivative of m**5/40 + m**3/3 - 2*m. Let g(d) be the second derivative of i(d). Let u(o) = 2*o. What is u(g(p))?
6*p
Let p(m) = -2*m + 15. Let f(c) = -5*c**2 + 3*c - 3. Let s(n) = 6*n**2 - 4*n + 4. Let a(l) = 4*f(l) + 3*s(l). Calculate p(a(r)).
4*r**2 + 15
Let n(v) = 4*v. Let o(j) be the second derivative of 0 + 1/3*j**3 - 7*j + 0*j**2. Determine n(o(s)).
8*s
Let k(p) = 6*p**2 + 5. Let x(s) = 7*s**2 + 6. Let o(a) = 6*k(a) - 5*x(a). Let z be 12/9*(-3)/(-2). Let q(j) = 2 - j - z. What is q(o(m))?
-m**2
Let k(a) = 3*a - 8 + 5 + 3. Let m(r) = -r. Give k(m(s)).
-3*s
Let c(k) = -k**2. Let x = -52 - -52. Let m(h) be the first derivative of x*h**2 + 0*h - 3 + 1/3*h**3. What is c(m(o))?
-o**4
Let v(g) = 2*g**2. Let y(c) = -c**2 + c. Let i(d) = -2*d**2 + 4*d. Let p(a) = i(a) - 5*y(a). Let m be p(1). Let t(b) = 2 + 5*b - m - 2*b. Calculate v(t(f)).
18*f**2
Let f(q) = -3*q**2. Suppose 2*h - 5*u = -0*h + 3, 3*u = -3*h - 6. Let y be 1*(-2 + 5 + h). Let a(l) = 5 - l**y - 2 - 3. Give f(a(o)).
-3*o**4
Let f(t) = 2*t**2. Let u(b) = -9*b + 21. Let l(y) = y - 2. Let a(n) = 42*l(n) + 4*u(n). Calculate a(f(j)).
12*j**2
Let b(u) = -3*u. Let m(d) = 310*d**2 + d. What is m(b(z))?
2790*z**2 - 3*z
Let d(a) = -a**2 - 3*a + 3*a. Let q(j) = j. Let i(s) = -3*s**2 + 6*s. Let p(v) = i(v) - 6*q(v). Give p(d(n)).
-3*n**4
Let p(n) = -1980*n**2. Let b(z) = -z. Determine p(b(u)).
-1980*u**2
Let q(m) = 6*m. Let a(k) = -2*k**2 - 4*k + 4*k - k**2. Give a(q(f)).
-108*f**2
Let t(w) be the third derivative of -1/12*w**4 + 0 + 0*w + 0*w**3 + w**2. Let z(o) = 2*o**2. Calculate t(z(j)).
-4*j**2
Let s(j) = -j**2. Suppose 0 = 3*k, -b = -0*b - 4*k - 3. Suppose b*q - i - 6 = -q, -5*q + 4 = -3*i. Let m(c) = c - c + q*c. What is m(s(d))?
-2*d**2
Let j(b) = -15*b**2 + 2*b. Let x(l) = -76*l**2 + 11*l. Let m(z) = 11*j(z) - 2*x(z). Let k(d) = 8*d. Determine m(k(v)).
-832*v**2
Let f(r) = -2*r. Let u(k) = -7*k**2 + 11*k. Let l(b) = 2*b**2 - 4*b. Let j(c) = -11*l(c) - 4*u(c). What is j(f(i))?
24*i**2
Let p(h) = 16*h. Let z(d) be the third derivative of -d**4/24 - 14*d**2. Give z(p(o)).
-16*o
Let x(z) = 6*z. Let k(y) = y**2 + 18. What is k(x(h))?
36*h**2 + 18
Let s(a) = 66*a**2. Let j(i) = -7*i**2. What is s(j(z))?
3234*z**4
Let i(w) = -58*w**2 + 1. Let f(b) = 12*b. Give f(i(t)).
-696*t**2 + 12
Let u(g) = 3*g - 2. Let i(r) = -3*r + 3. Let b(q) = -2*i(q) - 3*u(q). Let o(z) = 3*z. What is o(b(f))?
-9*f
Let t(m) = -5*m**2. Let q(n) = -156*n**2. Determine t(q(d)).
-121680*d**4
Let t(x) = -51*x**2. Let b(k) = 13*k**2. What is b(t(r))?
33813*r**4
Let y(l) = -l. Let m(w) = -w. Let q(p) = -5*p**2 - p + 6. Let v(h) = 6*h**2 - 7. Let k(j) = -7*q(j) - 6*v(j). Let x(n) = -5*k(n) - 35*m(n). Give x(y(o)).
5*o**2
Let q(b) = b**2. Let f be (-76)/12 - 4/6. Let i(j) be the first derivative of 3*j - 1. Let d(h) = h**2 + 7. Let t(l) = f*i(l) + 3*d(l). Calculate t(q(v)).
3*v**4
Let y(d) = -2*d - 42. Let o(x) = 7*x. Determine o(y(t)).
-14*t - 294
Let n(o) = o. Suppose 37 = 3*r - 5*h, 3*r - 13 = h + 4. Let a(t) = 4*t + 0*t + 2*t - r*t. Calculate a(n(x)).
2*x
Let v be 8/(-6)*3/(-2). Let l = -2 - -4. Let z(y) = v*y - l*y**2 - 2*y. Let a(b) = -2*b**2. Give a(z(q)).
-8*q**4
Let v(t) = 5*t. Let r(m) = -2*m**3 + m**2 + m. Let u be r(-1). Let y(b) = 0*b**2 - b**2 - u*b**2 + b**2. Determine y(v(g)).
-50*g**2
Let s(z) = -530*z. Let n(o) = -3*o**2. What is n(s(t))?
-842700*t**2
Let y(q) = 10*q**2. Let p(t) = -19*t**2 + 3*t. What is p(y(s))?
-1900*s**4 + 30*s**2
Let i(y) = -2 - 4*y**2 + 2. Let d(n) be the first derivative of 1 - 2/3*n**3 + 0*n**2 + 0*n. Give d(i(q)).
-32*q**4
Let h(v) = v. Suppose 0 = -2*x + 4 + 6. Let k(t) = 10*t**2 + 6*t**2 - x*t**2. Determine h(k(l)).
11*l**2
Let x(n) = 6*n**2 - 19*n**2 + 11*n**2. Let i(t) = 20*t**2. Determine i(x(f)).
80*f**4
Let u(o) = 25*o**2 + 5. Let z(x) = -x**2. Give u(z(d)).
25*d**4 + 5
Let x(l) = 39*l. Let b(i) be the first derivative of -i**2 - 11. What is b(x(n))?
-78*n
Let n(j) = -14*j. Let i(d) = -17*d. Give i(n(p)).
238*p
Let v(w) = -4*w + 102 - 102. Let z(k) = -2*k**2. What is z(v(r))?
-32*r**2
Let q(o) = o - 3. Let n be q(4). Let m = n + 0. Let r(w) = 3*w**2 + m - 1. Let c(j) = -j. What is c(r(b))?
-3*b**2
Let h(m) = 7*m**2. Let c(i) be the second derivative of -i**4/6 + 11*i. Determine c(h(l)).
-98*l**4
Let b(t) be the first derivative of t**2/2 + 10*t + 48. Let g(y) = 2*y**2. What is g(b(d))?
2*d**2 + 40*d + 200
Let t(i) = i**2 + i - 1. Let n(x) = -6*x**2 - 5*x + 5. Let s(c) = 2*n(c) + 10*t(c). Let u(q) = -2*q - 3*q**2 + 2*q + 6*q**2. What is s(u(o))?
-18*o**4
Let l(a) = 4*a. Suppose -2*y = -3*x + 3, 4*x - 2 = 2*x - 4*y. Let o(d) = -3 + d**2 + 2 + x. Determine l(o(r)).
4*r**2
Let j(f) = 4*f + 3*f - 3*f. Let c(x) = 4*x**2 - 6. Let w(p) = p**2 - 1. Let g(u) = -c(u) + 6*w(u). What is j(g(o))?
8*o**2
Let s(g) = 3*g**3 + g**2 + 2*g**2 - 5*g**3 - 2*g + 3*g**3 - 4. Let a be s(-3). Let q(t) = 2*t - t**2 + 0*t - a*t. Let f(j) = 6*j. Determine f(q(h)).
-6*h**2
Let n(a) = -1 + 1 - a. Let g(z) be the third derivative of -z**5/60 + z**2. What is g(n(m))?
-m**2
Let h(v) = -v**2 - 3. Let k(z) = -4*z**2 - 10. Let l(j) = 10*h(j) - 3*k(j). Let n(u) = -10*u. Determine n(l(q)).
-20*q**2
Let i(q) = q**2. Let b(l) be the second derivative of -7*l**4/6 - l**2/2 + 4*l. Give b(i(p)).
-14*p**4 - 1
Suppose -l + 2*k + 2 = 0, -l + 0*k = -3*k - 3. Let y(v) be the second derivative of -3*v + l*v**2 + 2/3*v**3 + 0. Let o(t) = 2*t. Determine y(o(f)).
8*f
Let s(v) = 201*v - 6. Let w(t) = 3*t. What i