0*c. Determine t(i(a)).
200*a
Let i(v) be the first derivative of -50*v**3/3 - 33. Let s(f) = -3*f**2. Determine s(i(h)).
-7500*h**4
Let f(t) = 3*t**2 - 7*t**2 + 2*t**2. Let k(j) be the third derivative of 0*j**3 - 3*j**2 + 0*j + 0*j**4 + 0 - 1/30*j**5. What is f(k(s))?
-8*s**4
Let h(g) = -g. Let m(c) be the second derivative of c**5/60 - c**2/2 - c. Let j(y) be the first derivative of m(y). Calculate j(h(w)).
w**2
Let v(k) = -12*k**2 + 5*k**2 + 8*k**2. Let z(n) = -16*n**2. Determine v(z(o)).
256*o**4
Let t(p) be the first derivative of p**3/3 - 2. Let c = 2 - 2. Let k(v) = v**2 + c*v + 0*v. Calculate k(t(f)).
f**4
Let w(y) = -y**2. Let d(j) = -5019*j**2. Give w(d(f)).
-25190361*f**4
Let s(x) = 35*x**2. Let t(g) = -8*g**2 - 6*g + 6. Let q(o) = 23*o**2 + 17*o - 17. Let l(r) = 6*q(r) + 17*t(r). Determine s(l(w)).
140*w**4
Let y(s) be the second derivative of -1/3*s**3 + 0 + 0*s**2 - s. Let h(j) = -6*j**2. What is y(h(t))?
12*t**2
Let q(z) = -2*z**2. Let b(u) be the second derivative of 5/12*u**4 - 4*u + 0*u**3 + 0*u**2 + 0. Give b(q(c)).
20*c**4
Let v(j) = 7*j**2 + 6*j. Let k(q) = 6*q**2 + 5*q. Let w(m) = -6*k(m) + 5*v(m). Let y(o) be the second derivative of o**4/4 - 2*o. Determine y(w(n)).
3*n**4
Suppose -2*i + 17 = -5*k, 4*i - 31 = -3*k - 10. Let l(h) = -i*h**2 - h + 5*h**2 + h. Let y(x) = -x + 0 + 0. Calculate l(y(m)).
-m**2
Let x(s) = -5*s. Let d(f) = f + 1. Let i(p) = 3*p**2 - 6*p - 6. Let b(r) = -6*d(r) - i(r). Determine b(x(v)).
-75*v**2
Let o(c) be the second derivative of c**3/2 - 2*c. Let w(b) = 4*b - 2*b - b. Calculate o(w(y)).
3*y
Let y(c) = c**2. Let l(t) = -21*t**2. Give l(y(j)).
-21*j**4
Let s(i) = 2*i**2. Suppose -u - 5*b - 21 = -4*u, -b + 3 = 3*u. Let y(p) = -7*p**2 - 6*p**u + 11*p**2. What is y(s(m))?
-8*m**4
Let o(a) be the second derivative of -a**4/6 + 6*a. Let m(p) be the first derivative of -1 - 3*p**2 + 2 + 2*p**2. Give m(o(q)).
4*q**2
Let l(b) = 3*b**2. Let d(y) = -y**2 + 2. Let i(x) = x**2 - 3. Let v(p) = 3*d(p) + 2*i(p). Give l(v(a)).
3*a**4
Let x(s) = 8*s - 13. Let w(t) = -2*t + 1. Let o(h) = 8*h - 3. Let b(m) = 2*o(m) + 9*w(m). Let r(p) = -26*b(p) - 6*x(p). Let l(g) = g**2. What is l(r(j))?
16*j**2
Let v(k) = 157*k - 1. Let u(q) = q**2. Calculate u(v(g)).
24649*g**2 - 314*g + 1
Let f(t) = 5*t**2. Suppose 4*r = -5*q - r, -5*r - 12 = q. Let w(o) = -q + 0 + 3 - 2*o. Determine w(f(l)).
-10*l**2
Let b be 8/(-16) + (-18)/(-4). Let p(t) = 2*t**2 + 4*t + 0*t - b*t. Let d(u) be the second derivative of u**4/12 - u. Give p(d(m)).
2*m**4
Let h(t) = -6*t**2. Let a(v) = -3*v + 8*v - 8*v. Calculate a(h(d)).
18*d**2
Let k(f) = -10*f**2. Let a(c) = 0*c + 3*c - 2*c. Calculate a(k(t)).
-10*t**2
Let u(r) = 0*r + 4*r - 2*r + 0*r. Let f(i) = 6*i. Let m(b) = 4*f(b) - 11*u(b). Let h(y) = 2*y**2 - 3*y + 3*y. Determine m(h(z)).
4*z**2
Let c(s) = s - 1. Let l(h) = 5*h - 1. Let q(v) = c(v) - l(v). Let f(y) = -2*y. What is q(f(j))?
8*j
Let t be 2*(-3)/((-6)/4). Let p(j) = -4 + 5*j**2 + t - 3*j**2. Let b(k) = 2*k**2. Give b(p(y)).
8*y**4
Suppose 0*s + s - 2 = 0. Let h(f) = -s*f + 9*f - 8*f. Let x(l) = 7*l. Give h(x(o)).
-7*o
Let k(o) = -o**2. Let a(y) = -36*y**2. Let z(v) = a(v) - 2*k(v). Let w(t) = -2*t**2. Determine z(w(r)).
-136*r**4
Let l(x) = x**2 + 2*x**2 - 44*x**2. Let y(m) = -m. Determine y(l(z)).
41*z**2
Let q(m) = 3 - 5 + 3. Let h(d) = d**2 - 11. Let t(u) = 2*h(u) + 22*q(u). Let s(n) be the third derivative of n**4/24 + n**2. What is s(t(l))?
2*l**2
Let s(f) = 6*f**2. Let t(z) = -108*z. Determine s(t(q)).
69984*q**2
Let l(v) = 4*v + 4*v**2 - 4*v. Let f(n) be the second derivative of -n**4/6 - 4*n. Give l(f(w)).
16*w**4
Let t(v) = -7*v - 2. Let m(p) = 72*p + 21. Let b(j) = 2*m(j) + 21*t(j). Let n(y) = -2*y. Determine n(b(w)).
6*w
Let m(w) be the first derivative of -w**2/2 + 8. Let q(r) = 6*r. Determine m(q(y)).
-6*y
Let b(w) = 93*w**2 - 197*w**2 + 103*w**2. Let r(u) = 17*u**2 - 4*u. Let v(m) = 611*m**2 - 143*m. Let q(i) = 143*r(i) - 4*v(i). Give b(q(o)).
-169*o**4
Let a(n) = 2*n. Let r(s) = 10*s - 4. What is r(a(i))?
20*i - 4
Let d(a) = 7*a**2 - 2*a - a**2 + 2*a. Let u(q) be the second derivative of q**4/6 - 14*q. Determine u(d(c)).
72*c**4
Let c(r) = -2*r + 18 - 18. Suppose -3*b + y + 1 = 0, 4*b - y - y + 2 = 0. Let o(u) = -3 + 3 - u**b. What is o(c(g))?
-4*g**2
Let t(u) = u. Let c(v) = -v**2 + 70. What is c(t(j))?
-j**2 + 70
Let h(j) = j. Let b(s) = -1. Let w(f) = -f**3 + 5*f**2 + 7*f - 5. Let z be w(6). Let y(m) = 11*m + 11. Let d(g) = z*y(g) + 11*b(g). What is h(d(l))?
11*l
Let y(q) = -q**2. Let r(j) be the first derivative of -2*j**2 + 5*j + 9. Give y(r(i)).
-16*i**2 + 40*i - 25
Let p(t) = -15*t**2. Let s(r) = 3*r. Give s(p(k)).
-45*k**2
Let o(l) be the second derivative of -l**3/6 + l. Let j(n) be the second derivative of n + 0 - 1/12*n**4 + 0*n**3 + 0*n**2. What is j(o(z))?
-z**2
Let r(f) = -4*f. Let n(h) be the first derivative of h**3/3 - 8. What is n(r(s))?
16*s**2
Let g(a) = -2*a**2. Let x(f) be the third derivative of 3*f**5/10 + 3*f**2. What is x(g(r))?
72*r**4
Let t(a) be the second derivative of -5*a**3/6 + 3*a**2/2 - 5*a. Let d(n) = 6*n - 4. Let x(q) = -3*d(q) - 4*t(q). Let i(p) = -7*p. What is i(x(r))?
-14*r
Let q(x) = x - x - 2*x**2 + 3*x**2. Let h(s) = 9*s**2. Give q(h(g)).
81*g**4
Let u(w) be the third derivative of -w**5/60 - 11*w**4/24 + 40*w**2. Let o(c) = -2*c**2. Calculate o(u(p)).
-2*p**4 - 44*p**3 - 242*p**2
Let m(g) = -2*g + 2. Let s(z) = -z + 3. Let u(k) = -3*m(k) + 2*s(k). Let v(c) = -7*c + 30*c**2 + 7*c - 28*c**2. Give v(u(h)).
32*h**2
Let d(t) be the third derivative of 2*t**5/15 - 8*t**2. Let j(c) be the first derivative of c**2 - 2. Determine d(j(m)).
32*m**2
Let o(y) = y**2 - 2*y**2 + 3*y**2. Let m(v) be the third derivative of 0*v**3 - 1/12*v**4 + 0 + v**2 + 0*v. Calculate m(o(w)).
-4*w**2
Let y(t) be the second derivative of -t**6/720 + t**4/12 - t. Let k(m) be the third derivative of y(m). Let j(f) = f + 134 - 134. Give j(k(d)).
-d
Let w(v) = -3*v**2 + 510*v. Let m(f) = 3*f**2. Determine w(m(t)).
-27*t**4 + 1530*t**2
Let h(s) = -14*s**2. Let x(n) = 8*n. What is x(h(u))?
-112*u**2
Let a(x) = 2*x**2 + 4. Let q(h) = 6*h**2 + 11. Let k(g) = 11*a(g) - 4*q(g). Let i(j) = -8*j + j + 5*j. What is i(k(n))?
4*n**2
Let u(r) = 162*r**2. Let c(p) = 24*p. Give u(c(d)).
93312*d**2
Let i(s) = -4*s. Let l(w) = -128*w**2. Determine l(i(q)).
-2048*q**2
Let c(r) = -r**2 + 2*r**2 - 3*r**2 + 0*r**2. Let o(i) = -2*i**2. What is c(o(h))?
-8*h**4
Let r(s) = s**2 + 0 + 0*s**2 - 5 + 6*s. Let b be r(-7). Let a(h) = -h**2 + 2*h**2 + h**b. Let k(i) = -2*i**2. What is k(a(x))?
-8*x**4
Let i(k) be the second derivative of k**4/12 + 2*k. Let y(f) = 5*f**2 + 2*f**2 - 3*f**2. Determine i(y(n)).
16*n**4
Let q(p) be the first derivative of 0*p - 6 + 0*p**2 + 2/3*p**3. Let d(y) = -2*y**2. Give q(d(j)).
8*j**4
Let v(t) = 2*t**2. Let b(h) = h + 9. Let a be b(-4). Let c = 2 - 2. Let i(u) = a*u + c*u - 2*u. Calculate i(v(f)).
6*f**2
Let q(w) = 14*w**2. Let b(y) = 21*y**2. Let d(h) = 5*b(h) - 7*q(h). Let c(t) = -3*t**2. Give d(c(n)).
63*n**4
Let i(g) be the second derivative of g**4/6 + g. Let z(k) = -4*k + 0*k + 6*k. Determine i(z(r)).
8*r**2
Let i(s) = 2*s. Let j(h) be the first derivative of -14*h**2 - 7*h - 8. Let k(g) = 19*g + 5. Let n(v) = -5*j(v) - 7*k(v). Calculate n(i(w)).
14*w
Let k(h) = -h**2. Let f(z) = 12*z**2 + 6. Let n(c) = 1. Let o(x) = -f(x) + 6*n(x). Determine k(o(j)).
-144*j**4
Let c(s) = 3*s + 5. Let p(r) = r + 2. Let h(z) = -2*c(z) + 5*p(z). Let k(l) = 15*l. Determine h(k(f)).
-15*f
Let y(q) be the second derivative of -q**6/360 - 5*q**3/6 + 3*q. Let w(p) be the second derivative of y(p). Let o(s) = 2*s**2. Determine w(o(u)).
-4*u**4
Let d(z) = -4*z**2 + 4*z**2 + 6*z**2. Let r(s) = 8*s + 2*s - s + 0*s - 6*s. Calculate d(r(x)).
54*x**2
Let c(n) = 1023*n. Let z(m) = 2*m**2. What is c(z(r))?
2046*r**2
Let s(g) = -g + 1. Let v(o) = -12*o + 10. Let k(j) = -10*s(j) + v(j). Let t(a) = -4*a + 6*a - a + 2*a. Calculate k(t(l)).
-6*l
Let t(a) = -9*a - 14. Let h(b) = 2*b**2. Give t(h(o)).
-18*o**2 - 14
Let x(w) = 5*w. Let f(l) = 11*l**2 - 14*l. Give x(f(p)).
55*p**2 - 70*p
Let c(i) be the third derivative of -i**4/12 + i**2. Let v(p) = 2*p**2 + 1. Let d(b) = -14*b**2 - 12. Let x(l) = -d(l) - 12*v(l). What is c(x(z))?
20*z**2
