
Let k(u) = -3*u. Let x(i) be the third derivative of i**8/20160 + i**5/12 - 8*i**2. Let w(n) be the third derivative of x(n). Determine k(w(o)).
-3*o**2
Let v(h) = h**2. Let b(t) = -656*t - 1. Calculate v(b(l)).
430336*l**2 + 1312*l + 1
Let h(g) be the third derivative of g**4/8 - 24*g**2. Let x(q) = 2*q. What is x(h(p))?
6*p
Let w(j) be the third derivative of -41*j**4/24 + 13*j**2. Let n(l) = 2*l**2. Determine w(n(b)).
-82*b**2
Let c(i) be the first derivative of -2*i**3/3 - 8. Let o(l) = -l - 2. What is o(c(j))?
2*j**2 - 2
Let d(w) = -4*w**2 - 5*w - 5. Let c(p) = p**2 + p + 1. Let l(k) = 5*c(k) + d(k). Let n(g) = -g + 6. Let u(o) = 3. Let y(f) = n(f) - 2*u(f). What is l(y(x))?
x**2
Let b(y) = 2*y**2. Let z(q) = -43*q**2 + 53*q + 1. Calculate z(b(n)).
-172*n**4 + 106*n**2 + 1
Let o(g) = 1 - g - 1 + 0. Let f(a) = -2*a**2. What is o(f(d))?
2*d**2
Let o(t) be the second derivative of t**4/12 + 5*t. Let f(p) = 2*p**2. What is f(o(s))?
2*s**4
Let w(h) = 11*h**2 - 9*h**2 + 4*h**2 - 2*h**2. Let t(r) = 11*r**2. Give w(t(i)).
484*i**4
Suppose -5 + 15 = 5*q. Let h(v) = v**q - 3*v + 3*v. Let j(m) = 0*m + 3*m - 4*m. Calculate h(j(r)).
r**2
Let s(j) = j**2. Let v(x) = 5*x**2 + 115*x. What is v(s(i))?
5*i**4 + 115*i**2
Let t(p) = -5*p**2. Let l(i) = 2372*i. Calculate t(l(r)).
-28131920*r**2
Let s(m) = 74*m**2. Let c(z) = -3*z. What is c(s(a))?
-222*a**2
Let l(t) = t**2 + 733. Let q(n) = 6*n**2. Determine l(q(f)).
36*f**4 + 733
Let q(i) = 39*i**2. Let c(n) = n + 220. Give c(q(l)).
39*l**2 + 220
Let x(r) = -3743*r. Let f(i) = 3*i**2. What is x(f(l))?
-11229*l**2
Suppose s + 3 = 5. Let g(q) = q + 2*q - s*q. Let d(n) = 7*n - 7*n + n**2. Calculate g(d(w)).
w**2
Let q(f) = -17*f**2. Let h(s) = -6*s - 10 + 10 + 5*s. Give q(h(o)).
-17*o**2
Let f(x) = x**2 - x - 1. Let i(j) = -2*j - 2. Let h(r) = -2*f(r) + i(r). Let u(k) = 2*k - 4*k - k + 4*k. Calculate u(h(t)).
-2*t**2
Let j(q) = -5*q**2. Let u = 2 + 0. Let b(g) = 4*g - u*g - 3*g - g. What is j(b(i))?
-20*i**2
Let w(g) = -8*g**2 + 2. Let u(r) be the second derivative of r**4/12 - r**2/2 - 8*r. Let j(i) = 2*u(i) + w(i). Let p(l) = -3*l**2. What is j(p(f))?
-54*f**4
Let b(n) = 99*n**2 + 2*n. Let v(q) = 2*q. Calculate b(v(f)).
396*f**2 + 4*f
Let z(d) = -d**2. Let l(c) = -3778*c - 2. Give z(l(y)).
-14273284*y**2 - 15112*y - 4
Let j(i) = -3*i**2. Let t(d) = -12*d**2 - 18*d + 18. Let r(s) = -s**2 - s + 1. Let z(x) = 18*r(x) - t(x). Determine j(z(a)).
-108*a**4
Let d(w) = -2*w. Let y(r) be the second derivative of -r**3/3 + r. Calculate y(d(l)).
4*l
Let u(o) = -3*o. Let j(h) = 3*h - 1. Determine j(u(b)).
-9*b - 1
Let t(g) = g. Let a(y) = -9*y**2 - y. Determine t(a(q)).
-9*q**2 - q
Let p(y) be the second derivative of -y**5/60 + y**2 - 3*y. Let t(i) be the first derivative of p(i). Let h(u) = 3*u**2. Calculate h(t(x)).
3*x**4
Let t(k) = k**2 - 3. Let q(w) = -w**2 + 4*w + 7. Let x be q(6). Let r(n) = -n**2 + 5. Let d(b) = x*t(b) - 3*r(b). Let s(p) = -p + 3*p - 4*p. Determine d(s(o)).
-8*o**2
Let b(d) = -5976*d**2. Let i(v) = v. What is i(b(m))?
-5976*m**2
Let m(g) = -2*g**2. Let b(r) = -11*r + 7. Let p(d) = -3*d + 6*d - 6 + 7*d. Let u(w) = 6*b(w) + 7*p(w). Calculate m(u(q)).
-32*q**2
Let c(f) = -2*f**2 - 6. Let d(o) be the second derivative of -o**4/12 + 34*o. Determine d(c(x)).
-4*x**4 - 24*x**2 - 36
Let w(a) = a**2. Let x(z) be the second derivative of 13*z**4/6 - 4*z. Determine w(x(l)).
676*l**4
Let m(p) = 0*p**2 - 4*p**2 + 2*p**2 + p**2. Let v(i) = -9*i**2. Calculate m(v(a)).
-81*a**4
Let t(p) = -2*p. Let j(h) = -162*h**2 - 36. Let d(w) = 23*w**2 + 5. Let y(q) = -36*d(q) - 5*j(q). Calculate y(t(f)).
-72*f**2
Let u(v) = v**3 - 4*v**2 + v + 1. Let a be u(4). Let n(w) = -w - 2. Let k(o) = o + 5. Let i(l) = a*n(l) + 2*k(l). Let d(c) = 2*c. Determine d(i(g)).
-6*g
Let l(p) = 3*p. Let t(d) = d. Let a(z) = 3*z. Let g(u) = a(u) - 4*t(u). Calculate g(l(r)).
-3*r
Let m(u) = -13*u**2. Let o(y) = -4*y**2 + 5. Determine m(o(a)).
-208*a**4 + 520*a**2 - 325
Let t(y) = 3*y + 4*y - y**2 - y**3 - 5 + 6*y**2. Let z be t(6). Let m(w) = 1 - z - 4*w. Let n(d) = d**2. Give m(n(c)).
-4*c**2
Let l(j) = 16*j. Let y(s) = 249*s**2. What is y(l(h))?
63744*h**2
Let a(s) = -185*s**2. Let y(i) = -i. What is a(y(q))?
-185*q**2
Let x(b) be the third derivative of -b**4/8 + 3*b**2. Let z(y) = 13*y. Let f(a) = -9*x(a) - 2*z(a). Let i(s) = s. What is f(i(u))?
u
Let p(z) = 0*z - z + 0*z. Let y = 1 + 1. Let g(n) = 3*n**2 - 3*n**2 - 3*n**y. Give p(g(d)).
3*d**2
Let w(z) = 2*z - 4*z + 2*z + z. Let f(y) = -5*y**2. Determine w(f(m)).
-5*m**2
Let l(b) = -b**2. Let a(w) = -1681*w**2. Calculate a(l(i)).
-1681*i**4
Let g(d) be the second derivative of d**4/4 - d. Let w(m) = 2*m. What is g(w(a))?
12*a**2
Let r(n) = 5*n. Let y(v) = 50*v**2 + v. What is r(y(g))?
250*g**2 + 5*g
Let t(v) = v**2. Let m(s) = -636*s**2. Calculate m(t(r)).
-636*r**4
Let q(s) = 2*s. Let i(f) be the second derivative of -f**3/6 + 20*f. Calculate q(i(c)).
-2*c
Let r(x) = -3*x**2 + 7*x**2 - 3*x**2. Let a(l) = -l + 1. Let f(c) = 4*c - 5. Let v(p) = 10*a(p) + 2*f(p). Determine v(r(o)).
-2*o**2
Let a(f) = 8*f**2 - 7*f + 7. Let o(u) = 7*u**2 - 6*u + 6. Let l(m) = 6*a(m) - 7*o(m). Let d(h) = h. Calculate d(l(y)).
-y**2
Let s(f) = -2*f. Let r(a) be the second derivative of 13*a**3/6 - 16*a. Calculate s(r(b)).
-26*b
Let p(o) = o**2. Let c = -11 + 15. Let i(w) be the third derivative of -1/24*w**c - w**2 + 0*w + 0 + 0*w**3. Give i(p(t)).
-t**2
Let k(u) = -9*u - 2. Let b(c) = -17*c - 5. Let g(d) = 2*b(d) - 5*k(d). Let q(w) be the first derivative of w**2/2 + 18. Calculate g(q(y)).
11*y
Let w = -11 - -18. Let k(t) = 3*t + 7 - w. Let f(z) = -z**2. Calculate k(f(r)).
-3*r**2
Let c be 3/(-6)*-10 - -1. Let y(j) = -j**2 + 2 - c*j**2 - 2. Let q(u) = u. Calculate q(y(k)).
-7*k**2
Let o(s) = s. Let u(i) = 82*i. Determine u(o(j)).
82*j
Let h(m) = -3*m - 33. Let i(t) = -2*t. Calculate i(h(u)).
6*u + 66
Suppose 4*h + h - 15 = 0. Suppose -5*o - 7 = 4*l, -3*l + 0*o - 3 = h*o. Let u(i) = l*i**2 - 2*i - i**2 + 2*i. Let a(w) = 2*w. What is a(u(p))?
2*p**2
Let g(q) = -2*q + 25. Let p(o) = 5*o**2. Determine g(p(t)).
-10*t**2 + 25
Let q = 9 + -1. Suppose q = -0*o + 2*o. Let y(t) = -8*t**2 + 4. Let n(v) = v**2 - 1. Let x(a) = o*n(a) + y(a). Let i(z) = -z. Give i(x(p)).
4*p**2
Let k(b) = 3*b. Let j(o) = 39*o. What is j(k(h))?
117*h
Let l(a) = a**2. Suppose -2*p = 5*p - 4*p. Let z(b) be the third derivative of 0 + p*b**4 + 0*b**3 + 4*b**2 + 1/10*b**5 + 0*b. Determine l(z(i)).
36*i**4
Let q(o) = -10*o. Let l(v) = 3*v. Let w(m) = -21*l(m) - 6*q(m). Let z(n) = n. Determine w(z(g)).
-3*g
Let p(u) = -35*u + 16*u + 16*u. Let j(f) = -16*f. Calculate p(j(s)).
48*s
Let n(g) = -2*g. Let k(f) be the third derivative of -f**4/4 + 2*f**2. Determine k(n(y)).
12*y
Suppose -2*j + 0*x - 2*x = 0, j - 4 = 3*x. Let s(d) = 10*d**2 + 4*d + 4. Let p(h) = -h - 1. Let w(k) = j*s(k) + 4*p(k). Let g(r) = -2*r**2. Determine w(g(v)).
40*v**4
Let h(p) = -3*p**2. Let z(l) = -8916*l. Determine h(z(m)).
-238485168*m**2
Let x(w) = -2*w - 14. Let m(q) = q - 7. Calculate x(m(p)).
-2*p
Let w(k) be the first derivative of -2*k**3/3 - 14. Let o(z) = -31*z**2. What is o(w(y))?
-124*y**4
Let o(q) = q**2. Let u be (-1 - -3) + -5 + 3. Let y(t) be the third derivative of 1/60*t**5 + u*t + 0*t**4 - 2*t**2 + 0 + 0*t**3. Calculate o(y(x)).
x**4
Let x(t) = 41*t**2 - t. Let l(z) = -2*z**2. Give l(x(r)).
-3362*r**4 + 164*r**3 - 2*r**2
Let n(o) = -3*o. Let x(c) = 7383*c**2. Determine n(x(k)).
-22149*k**2
Let z(f) be the first derivative of 19*f**3/3 - 40. Let o(k) = 3*k. Give z(o(q)).
171*q**2
Let h(j) = -5*j**2 + 6*j + 6. Let c(y) = -10*y**2 + 13*y + 13. Let s(f) = f + 6. Let r be s(7). Let g(i) = r*h(i) - 6*c(i). Let t(b) = b**2. What is t(g(k))?
25*k**4
Let n(m) = -14*m. Let p(h) = -154*h**2. Determine n(p(c)).
2156*c**2
Let x(u) = 4*u**2. Let o(f) be the third derivative of -5*f**4/12 + 23*f**2. What is x(o(a))?
400*a**2
Let z(m) be the second derivative of -m**4/4 + 11*m. Let w(q) = -9*q**2. Calculate w(z(k)).
-81*k**4
Let h(q) = q**2 - q + 1. Let b(i) = 3*i**2 - 2*i + 2. Let f(g) = 2*b(g) - 4*h(g). Let u(a) = -23*a. What is f(u(k))?
1058*k**2
Let q(f) = 2*f**2. Let k(u) = -2*u**2 + 4*u + 4. Let x(b) = -2*b**2 + 5*b + 5. Let w(j) = 5*k(j) - 4*x(j). Calculate q(w(g