et c(k) = -724*k**2. Let t(f) = f. What is c(t(y))?
-724*y**2
Let p(s) = -79*s**2. Let f(v) = v**2 - 31*v. Determine f(p(w)).
6241*w**4 + 2449*w**2
Let q(a) = 2*a**2. Let j(s) = 5*s - 4. Let u(y) = -5*y + 3. Suppose p + 8 = 3*p. Let l(z) = p*u(z) + 3*j(z). What is q(l(k))?
50*k**2
Let u(w) = 2*w**2 - 3*w**2 + 0*w**2. Let f(v) be the second derivative of v**3 - 2*v - 34. Give u(f(d)).
-36*d**2
Let r(b) = -4702*b**2. Let q(k) = k**2. Calculate q(r(w)).
22108804*w**4
Let i(t) = 0*t**2 + t**2 - 4*t**2. Let j(c) = 2*c**2 - 8689 - 3*c**2 + 8689. Calculate i(j(p)).
-3*p**4
Let h(f) = 5*f**2. Let i(u) = -2*u + 9. Determine h(i(b)).
20*b**2 - 180*b + 405
Let y(w) = -w**2. Let i(p) be the third derivative of 0*p + 1/12*p**4 - p**2 + 0 + 0*p**3. Calculate i(y(x)).
-2*x**2
Let i(z) = 0*z**2 - 4*z**2 + 8*z**2. Suppose -5*c + 4*g + 22 = 0, 7 = -4*g - 5. Let l(r) = -c*r + 2*r - r. What is l(i(x))?
-4*x**2
Let y(h) be the third derivative of -2/15*h**5 + 0 + 0*h - 5*h**2 + 0*h**4 + 0*h**3. Let d(m) = 2*m. Determine y(d(w)).
-32*w**2
Let p(d) = 2 - 13*d**2 - 2 + 11*d**2. Let w(x) = 8*x**2 - 3*x. Determine p(w(n)).
-128*n**4 + 96*n**3 - 18*n**2
Let m(o) = 34 - 34 - o**2. Let k(q) = -2*q**2. Determine m(k(h)).
-4*h**4
Let u(k) be the first derivative of 3*k**2/2 - 9. Let b(g) = 2*g - g - 2*g. What is b(u(s))?
-3*s
Let x(z) = 3*z. Let f(w) = -w**2 + 58*w. Calculate x(f(r)).
-3*r**2 + 174*r
Let h = -21 - -23. Let p(b) be the first derivative of 2 + 0*b + 1/2*b**h. Let r(w) = 2*w. What is p(r(i))?
2*i
Let c(s) = 50*s**2 - 47*s**2 + 1 - 1. Let j(d) = -17*d**2. Calculate c(j(m)).
867*m**4
Let r(b) = 55*b - 2. Let g(c) = -c**2. Give r(g(o)).
-55*o**2 - 2
Let x(a) = -a. Let z be ((-6)/3 - -91) + 1. Let h(k) = z - k**2 - 90. Determine h(x(u)).
-u**2
Let s(r) = 153*r - 2. Let u(a) = -2*a**2. Calculate s(u(q)).
-306*q**2 - 2
Let w(i) be the second derivative of -i**3/6 + 4*i. Let l(g) be the second derivative of g**4/3 + 2*g. What is w(l(m))?
-4*m**2
Let a(f) = f**2. Let g(m) = -5*m. Let r(q) = -34*q - 5. Let d(v) = -v - 1. Let y(b) = 5*d(b) - r(b). Let z(p) = 34*g(p) + 6*y(p). Calculate z(a(x)).
4*x**2
Let q(c) be the third derivative of -c**4/8 - c**3/6 - 38*c**2. Let o(a) = -a. What is q(o(i))?
3*i - 1
Let x = 4 + 9. Let h(v) = -x*v**2 - 4*v**2 + 14*v**2. Let r(o) = 4*o. What is h(r(i))?
-48*i**2
Let u(k) = -k**2. Let q(s) = -4*s**2 + 3*s + 3. Let p(d) = -13*d**2 + 8*d + 8. Let g(y) = 3*p(y) - 8*q(y). What is g(u(t))?
-7*t**4
Let d(n) = -363*n. Let s(q) = 21*q. Calculate s(d(p)).
-7623*p
Let h(o) = -5*o**2. Let m(i) be the first derivative of i**2 - 1. Let k(t) = -t. Let v(p) = 4*k(p) + m(p). Determine h(v(j)).
-20*j**2
Let f(y) = -2*y + 0*y + 3*y. Let j be (-68)/(-24) + 2/12. Let h(p) = -j*p**2 - 23*p + 23*p. Give h(f(a)).
-3*a**2
Let f(z) = z - 21 + 21 + 0*z. Let a(t) = 3*t. Determine f(a(i)).
3*i
Let z(c) = 604*c - 3. Let o(h) = 3*h. Calculate z(o(p)).
1812*p - 3
Let c(r) = 3*r. Let g(m) = 62*m**2 - 3*m. Calculate g(c(p)).
558*p**2 - 9*p
Let f(n) = -14*n + 14*n - 2*n**2. Let l(y) = y**2. Calculate l(f(r)).
4*r**4
Let y(l) = -5*l**2 - 4*l + 4. Let t(s) = -s**2 - s + 1. Let k(v) = 4*t(v) - y(v). Let z(n) = 3*n - 1. Calculate z(k(i)).
3*i**2 - 1
Let k(f) = -f**3 - 8*f**2 - 7*f + 2. Let y be k(-7). Let r(o) = -y*o**2 + 3 + 0*o**2 - 3. Let t(g) = g**2. Calculate r(t(b)).
-2*b**4
Let b(h) = 2*h**2. Suppose -v + 4 + 7 = 5*w, -5*v - 20 = 0. Let y(s) = w + s**2 - 6 + 3. What is y(b(l))?
4*l**4
Let j(a) = -40 - a**2 + 40. Let b(l) = 8*l**2 + 3*l. Determine j(b(d)).
-64*d**4 - 48*d**3 - 9*d**2
Let u(z) be the third derivative of z**4/4 + 7*z**2. Let m(d) be the third derivative of -d**4/24 - d**2. Determine m(u(a)).
-6*a
Let o(b) = -23*b**2. Let r(t) = -2*t**2. Calculate r(o(l)).
-1058*l**4
Let m(g) = 170*g. Let r(y) = -28*y**2. Give m(r(n)).
-4760*n**2
Let a(f) = -259*f**2 + 261*f**2 - 1 + 1. Let u(x) = 26*x**2. Determine a(u(b)).
1352*b**4
Let z(r) = 1354*r**2. Let o(x) = -x**2. Determine o(z(h)).
-1833316*h**4
Let b(a) = 4*a**2. Let i(g) = 23*g. What is i(b(z))?
92*z**2
Let a(h) = -2*h**2. Suppose m - 10 = -m. Let c(q) = -5 - q + m + 3*q. Determine a(c(t)).
-8*t**2
Let s(j) = 5*j**2. Let f(b) = 1906*b. Give f(s(d)).
9530*d**2
Let o(f) = 2*f. Suppose 0 = -2*z + 17 + 7. Let r(p) = -z*p - 3*p**2 + 12*p. What is o(r(g))?
-6*g**2
Let d(n) = -21*n + 2. Let w(m) = 7*m. What is w(d(p))?
-147*p + 14
Let d(j) = j**2 + j. Let s be 5*(21/(-15) - -2). Let h = s - 0. Let g(c) = 7*c**2 + 8*c. Let r(m) = h*g(m) - 24*d(m). Let a(u) = u. What is r(a(p))?
-3*p**2
Let t(d) = -3*d**2. Let i(c) = c**3 + 3*c**2 - 4*c + 3. Suppose -3 = g + q, 5*g + 8 + 8 = -4*q. Let j be i(g). Let m(z) = j*z + 0*z - z + 0*z. What is m(t(w))?
-6*w**2
Let w(o) = o. Let i(c) = 2 + 0 + 4*c - 2. Give w(i(r)).
4*r
Let w(t) = 4*t. Let k(i) = 43*i**2 - 3. What is k(w(p))?
688*p**2 - 3
Let p(v) be the first derivative of 13*v**3/3 - 1. Let w(f) = -2*f + 3366 - 3366 + 0*f. Calculate w(p(t)).
-26*t**2
Let r(u) = -19*u + u**2 + 19*u. Let k(w) = w**2. What is r(k(y))?
y**4
Let a(t) = -2*t. Let j(p) be the second derivative of p**3/2 + 5*p. Determine j(a(b)).
-6*b
Let a(g) be the third derivative of 2*g**2 + 0*g**3 - 1/12*g**4 + 0 + 0*g. Let v(c) = 9*c**2. Give a(v(q)).
-18*q**2
Let v(g) = -g + 45. Let m(d) = -4*d. What is m(v(a))?
4*a - 180
Let k(t) = 5*t. Let u(p) = -28*p. Give u(k(o)).
-140*o
Let j(g) = 5*g. Let r(d) = 7*d. What is j(r(c))?
35*c
Let w(i) = -7*i - 2. Let j(g) = -g - 58. Determine j(w(a)).
7*a - 56
Let w(q) be the first derivative of 0*q**3 + 3/2*q**2 + 1/24*q**4 - 2 + 0*q. Let p(z) be the second derivative of w(z). Let b(n) = -n. Give b(p(m)).
-m
Let h(a) = -2*a. Let s(q) = 7*q**2 - 2*q - 2. Let n(t) = 85*t**2 - 25*t - 25. Let w(f) = 6*n(f) - 75*s(f). What is w(h(d))?
-60*d**2
Let c(h) be the first derivative of 0*h - 2/3*h**3 + 4 + 0*h**2. Let u(w) = w. Calculate u(c(l)).
-2*l**2
Let m(g) = -1047*g**2. Let l(p) = 4*p**2. Calculate m(l(b)).
-16752*b**4
Let f(b) = 5*b**2 - 7. Let r(w) = -w**2 + 0 + w**2 - 3*w**2 + 4. Let p(o) = -4*f(o) - 7*r(o). Let u(i) = -2*i**2. Calculate u(p(m)).
-2*m**4
Let z(x) = -2*x**3 - 2*x**2 + 3*x + 2. Let r be z(-2). Let g(o) = -3*o + o + r*o. Let y(a) = 5*a. What is y(g(b))?
10*b
Let w(z) be the second derivative of -z**4/6 - z. Let y(k) = -3*k - 1. Let g be y(-1). Let a(p) = 4*p - 3 - g*p + 3. Determine w(a(i)).
-8*i**2
Let z(a) = 2*a. Let x(i) be the third derivative of 7*i**5/60 - 8*i**2. Give x(z(k)).
28*k**2
Let v(i) = 8 - 5 + 2*i - 3. Let w(t) = -12*t**2. Give v(w(p)).
-24*p**2
Let d(c) = -6*c**3 + 4*c**2 + 2*c**3 + 3 + 5*c**3. Let v be d(-4). Let p(a) = -3 + 2*a + v. Let g(t) = -3*t. Calculate g(p(f)).
-6*f
Let w(c) = -3*c**2. Let b(k) be the third derivative of 0*k + k**2 + 1/24*k**4 + 0 + 0*k**3. Give b(w(n)).
-3*n**2
Let v(c) = c**2 + 5. Let d(m) = -24*m. Determine v(d(q)).
576*q**2 + 5
Let j(r) be the second derivative of -r**4/12 - 8*r. Let p(h) = -11*h**2. Calculate p(j(g)).
-11*g**4
Let g be 2/(-4) + 9/6. Let l(s) = 1 - g + s + 0. Let w(m) = 2*m**2. What is l(w(k))?
2*k**2
Let q(f) be the third derivative of f**4/12 + f**2. Let a(z) be the second derivative of 0*z**2 - 3*z + 0 - 1/6*z**4 + 0*z**3. Determine a(q(x)).
-8*x**2
Let i(r) = -462*r**2. Let q(f) = -2*f. What is i(q(w))?
-1848*w**2
Suppose 3*l + 12 = w - 1, 5*w - 4*l - 32 = 0. Let z(n) = -w*n + 0*n + 2*n. Let v(x) = -2*x**2. Determine z(v(y)).
4*y**2
Let w(o) = -o. Suppose -45 + 0 = -3*c. Let b(m) = -m - 15 + c. What is b(w(r))?
r
Let w(o) = 10*o. Let n(f) be the second derivative of 0 + 1/6*f**3 - 6*f + 0*f**2. Determine w(n(i)).
10*i
Let l(v) = -2*v**2 + 5*v. Let i(j) = -2*j**2 + 6*j. Let y(c) = -5*i(c) + 6*l(c). Let o(p) be the first derivative of -p**3/3 + 40. Give y(o(s)).
-2*s**4
Let m(q) = -20*q**2. Let g(j) = -2*j. Give g(m(f)).
40*f**2
Let a(j) = 7*j. Let c(k) = 98*k**2. Give a(c(h)).
686*h**2
Let l(k) = -7*k**2 - 4*k - 4. Let g(u) = -6*u**2 - 3*u - 3. Let n(p) = -4*g(p) + 3*l(p). Let h(m) be the first derivative of m**2/2 + 1. What is h(n(q))?
3*q**2
Let p(u) = u + 4*u + 13*u**2 - 5*u. Let a(l) = -l**2. Calculate p(a(o)).
13*o**4
Let h(j) be the second derivative of 5*j**3/6 - 4*j. Let n(q) = 3*q. Give n(h(d)).
15*d
Let q(n) = -3*n**2 - n**2 + n**2. Let f = -13 + 13. Let x(r) = 0 + 21*r**2 + f 