 - 1. Let w(y) = -2*y - u*y + 3*y. Give a(w(n)).
-3*n**2
Let c(d) = d**2. Let f(k) be the first derivative of -8*k**3/3 + 26. Calculate f(c(z)).
-8*z**4
Let c(h) = h**2. Let v(y) be the third derivative of y**4/24 + 6*y**2. What is c(v(q))?
q**2
Let s(m) = 2*m - 78. Let u(k) = -k. Determine s(u(o)).
-2*o - 78
Let b(r) be the third derivative of 0 + 0*r + 0*r**3 + 1/24*r**4 - 6*r**2. Let x(u) = 12*u**2. Give b(x(j)).
12*j**2
Let h(r) be the first derivative of -r**2 - 51. Let c(u) = 4*u**2. What is h(c(x))?
-8*x**2
Let l(b) = b**2. Let y(r) = -6*r**2. Let d(o) = -22*l(o) - 4*y(o). Let n(j) be the first derivative of -5*j**2/2 + 19. Calculate n(d(u)).
-10*u**2
Let b(z) = -2*z**2. Let q(v) = -3055*v. Give q(b(w)).
6110*w**2
Let u(b) be the first derivative of -5*b**4/12 + b - 1. Let d(f) be the first derivative of u(f). Let k(z) = 1 + 27*z - 26*z - 1. Give d(k(a)).
-5*a**2
Let h(o) = 3*o. Let j(k) = 6*k**2 - 4. Let u(c) = -c**2 + 1. Let b(x) = -x**3 - 3*x**2 + x + 2. Let r be b(-3). Let z(s) = r*j(s) - 4*u(s). Determine h(z(p)).
-6*p**2
Let n(a) = a**2 + 3. Let i(x) = 9*x**2. What is i(n(p))?
9*p**4 + 54*p**2 + 81
Let r(a) = -13 + a + 13. Let u(w) be the first derivative of 3 + 0*w**2 + 1/3*w**3 + 0*w. Determine r(u(b)).
b**2
Let b(j) = -3*j. Let g(u) = 32 - 32 - 14*u**2. Determine b(g(k)).
42*k**2
Let c(n) = 2*n + 2*n + 0*n. Suppose 1 = -z + 3. Let r(i) = -6*i**2 + 0*i**2 + z*i**2 + 2*i**2. What is c(r(y))?
-8*y**2
Let n(b) = -3*b**2 + 13. Let t(m) = -4*m**2. Give n(t(u)).
-48*u**4 + 13
Let j(b) = -7*b**2 - 5*b - 5. Let x(f) = 10*f**2 + 7*f + 7. Let t(d) = -7*j(d) - 5*x(d). Let k(s) = -9*s. What is k(t(p))?
9*p**2
Let v(d) = 4*d**2. Let z(b) be the second derivative of b**4/4 + 5*b. Give z(v(a)).
48*a**4
Let c(d) = 0*d - 6*d - 7*d + 17*d. Let r(k) = -2*k + k - k. Calculate c(r(n)).
-8*n
Let z(t) = 1. Let q(m) be the first derivative of -m**2/2 - 4*m + 7. Let g(y) = -q(y) - 4*z(y). Let i(o) = 2*o**2. What is g(i(b))?
2*b**2
Let h(s) = 2*s**2 + 53*s. Let c(w) = 2*w**2. Calculate c(h(o)).
8*o**4 + 424*o**3 + 5618*o**2
Let o(y) = -2 + y + 2. Let d(i) = -5 - 12 + 14*i + 17. Determine o(d(q)).
14*q
Let n(l) = 4*l**2. Suppose 0 = -5*q + 2*r + 22, -q - 2*r = -r - 3. Let g(t) = q*t - t + 3*t - 4*t. What is n(g(m))?
16*m**2
Let y(j) = 625*j**2. Let n(s) = -5*s**2. Calculate n(y(k)).
-1953125*k**4
Let l(m) be the first derivative of -m**4/24 + 3*m**2/2 + 3. Let o(p) be the second derivative of l(p). Let u(r) = r**2. What is u(o(v))?
v**2
Let k(v) = -3*v**2. Let s(c) be the second derivative of 0*c**2 - 7*c + 0 - 1/3*c**3. Determine k(s(g)).
-12*g**2
Let m(s) = s**2. Let o = 4 + -3. Suppose o = 5*u - 4. Let h(l) = l + 1 - u. Determine m(h(a)).
a**2
Let g(a) = 82*a. Let m(f) = -6*f**2. Calculate m(g(l)).
-40344*l**2
Let h(t) = 13*t**2. Let g(n) = -3*n**2 - 2*n - n**2 + 7*n + 3*n**2. Let p(b) = 2*b. Let w(y) = -2*g(y) + 5*p(y). What is h(w(x))?
52*x**4
Let u(h) = -4*h**2. Let b(j) = -j**2. Let l(q) = -24*b(q) + 5*u(q). Suppose 0 = -3*o - 0*o + 9. Let m(v) = -v + o*v - 5*v. Calculate l(m(z)).
36*z**2
Let u(s) = s + 323. Let b(h) = 2*h**2. Determine u(b(f)).
2*f**2 + 323
Let d(n) = 2*n. Let t = 11 - 9. Let i(b) = 3*b**2 - 5*b**2 + 2*b - t*b. Give i(d(u)).
-8*u**2
Let t(a) = -58 - 34*a + 58. Let p(l) = -l**2. Determine p(t(h)).
-1156*h**2
Let y(f) = -4*f. Let w(x) be the third derivative of 0*x + 0 + 3*x**2 + 0*x**4 + 0*x**3 + 1/30*x**5. Give w(y(r)).
32*r**2
Let h(o) = o. Let a(k) = -38*k. What is a(h(g))?
-38*g
Let q(u) = -2*u. Let b(f) = -83*f**2. Determine q(b(p)).
166*p**2
Let u(s) = 7*s**2. Let p(t) = -4*t**2 + 2*t. Calculate u(p(z)).
112*z**4 - 112*z**3 + 28*z**2
Let h(n) = 1241*n + 1. Let g(o) = -2*o**2. Calculate g(h(k)).
-3080162*k**2 - 4964*k - 2
Let l(g) = -3*g. Let j = 0 + 3. Let x(w) be the first derivative of -w**3 + 2*w**3 - 2 + j. Give x(l(b)).
27*b**2
Let p(q) = 2*q**2 + q**2 + 3*q**2. Let a(k) = 3*k + 3*k - 7*k. Calculate a(p(n)).
-6*n**2
Let k(i) = 7*i**2. Let c(g) = -142 - 3*g + 142 + 10*g. Give k(c(u)).
343*u**2
Let x(w) = 3 + w - 3. Let y(k) = 10*k. Determine y(x(i)).
10*i
Let d(c) = -4*c. Suppose 7*o - 3 = 8*o. Let j(q) = q. Let h(g) = o*j(g) - d(g). Let s(m) = -4*m. Determine h(s(v)).
-4*v
Let w(t) = 728*t. Let a(v) = 8*v**2. Give w(a(o)).
5824*o**2
Let b(c) = 8 + 9*c - 8 - 4*c. Let k(j) = -9*j. Let t(g) = -11*b(g) - 6*k(g). Let w(a) = 3*a**2 + 5 - 5. Calculate w(t(n)).
3*n**2
Let m(o) be the third derivative of o**3/6 + o**2. Let a(w) = 3*w - 4. Let c(b) = a(b) + 4*m(b). Let p(z) = -4*z**2. Give c(p(u)).
-12*u**2
Let z(c) be the third derivative of -c**5/30 + 4*c**2. Let i(k) = -5*k**2 + 4*k. Let r(o) = -4*o**2 + 3*o. Let q(l) = 3*i(l) - 4*r(l). Give q(z(g)).
4*g**4
Suppose -4*y - f = -2*y - 31, 3*y + 3*f = 54. Let a(s) = 3*s**2 + y*s - 13*s. Let x(g) = 2*g. Calculate x(a(b)).
6*b**2
Let l(k) be the second derivative of k**5/12 - 2*k**2 + k. Let d(s) be the first derivative of l(s). Let z(n) = -2*n. What is d(z(r))?
20*r**2
Let x(s) = -s. Let a(h) = 4*h**2 + 61*h - 64*h - 3*h**2. What is a(x(m))?
m**2 + 3*m
Let y(b) = -b**2. Let c(h) be the first derivative of 7*h**3/3 - 7. What is y(c(g))?
-49*g**4
Let w(q) be the second derivative of -5*q**4/6 + q. Let x(g) = -4*g**2 + 7*g - 7. Let l(t) = -2*t**2 + 4*t - 4. Let j(p) = 7*l(p) - 4*x(p). Calculate w(j(d)).
-40*d**4
Let j(m) = m**2. Let i(v) = -1019*v. Determine j(i(a)).
1038361*a**2
Let x(h) = -2*h. Let k(n) = 20*n - 10*n**2 - 9*n - 11*n. Determine x(k(y)).
20*y**2
Let l(g) = 3*g**2. Let c(o) = -70*o**2. Determine c(l(y)).
-630*y**4
Let c(a) = 6*a**2 + 8. Let o(i) = 2*i**2 + 3. Let m(l) = 3*c(l) - 8*o(l). Let f(u) be the third derivative of u**4/24 + u**2. What is m(f(q))?
2*q**2
Let n(v) = 2*v**2 - 18*v. Let c(d) = 2*d. Let z(y) = -15*y. Let i(g) = 14*c(g) + 2*z(g). Let m(w) = -18*i(w) + 2*n(w). Let k(l) = 5*l. What is k(m(f))?
20*f**2
Let z(u) = -3126*u. Let i(c) = -2*c**2. Determine z(i(m)).
6252*m**2
Let o(n) = 690*n**2. Let l(g) = 2*g**2. What is l(o(j))?
952200*j**4
Let f(i) = -21*i. Let o(d) = -48*d**2 - d. Give f(o(g)).
1008*g**2 + 21*g
Let q(m) = -2*m**2 + 6*m. Let w(h) = -2*h**2 + 5*h. Let l(o) = -5*q(o) + 6*w(o). Let b = 3 - 2. Let p(d) = b - 1 + d. Calculate l(p(y)).
-2*y**2
Let x(c) = -2094*c. Let n(y) = 2*y**2. Calculate x(n(r)).
-4188*r**2
Let s(b) = 5*b**2 + 171 - 171. Let o(v) = -2*v. Calculate s(o(j)).
20*j**2
Let h(t) = t. Let x(k) be the third derivative of 5*k**4/24 + 5*k**2. Calculate x(h(v)).
5*v
Let t(r) = -r**3 - 6*r**2 + 7*r + 2. Let w be t(-7). Let m(n) = -2*n - w*n + 6*n. Let q(a) be the third derivative of a**5/20 - 4*a**2. Determine q(m(b)).
12*b**2
Let y(d) = 2*d. Let c(v) = -395*v. What is c(y(q))?
-790*q
Let z(o) = -87*o. Let x(n) = -4*n. Calculate z(x(r)).
348*r
Let x(w) = -w**2. Let i(v) = -1651*v**2. Calculate x(i(f)).
-2725801*f**4
Let z(x) = 71*x. Let c(k) = 9*k. What is c(z(v))?
639*v
Let q(a) = -6*a. Let t(c) = 3*c**2 - 7*c - 7. Let z(h) = h**2 - 3*h - 3. Let f(r) = -3*t(r) + 7*z(r). Give f(q(k)).
-72*k**2
Let d(a) = -6*a**2. Let z(c) = -259*c + 1. Calculate d(z(r)).
-402486*r**2 + 3108*r - 6
Let f(p) = p**2. Let n(d) = 10*d + 6. Let w(z) = z + 1. Let c(v) = 4*n(v) - 24*w(v). Calculate f(c(o)).
256*o**2
Let i(m) = m**2. Let c(g) = -7*g - 14 + 14. Determine i(c(k)).
49*k**2
Let b(y) be the second derivative of 5*y**4/4 - 58*y. Let m(r) = 4*r**2. What is b(m(x))?
240*x**4
Let v(n) be the second derivative of -n**3/6 - 2*n. Let k(h) = 4*h**2 - 7*h**2 + 0*h**2. Calculate v(k(r)).
3*r**2
Let i(y) = -3*y. Let k(n) be the first derivative of -3*n**2 + 3. Calculate k(i(p)).
18*p
Let z(m) = m + 102. Let g(w) = 2*w**2. Determine z(g(d)).
2*d**2 + 102
Let k(w) = 3*w. Suppose 0 = 2*d + 2*r + 4, -3 = 3*d - r - 13. Let g(m) = -2*m**2 + 5*m**d - m**2. Determine g(k(b)).
18*b**2
Let n(u) = 2*u**2. Let a(j) = 29*j - 1. Give n(a(t)).
1682*t**2 - 116*t + 2
Let o(i) = 2*i**2 - 48*i. Let b(y) = y**2. Calculate b(o(t)).
4*t**4 - 192*t**3 + 2304*t**2
Let r(d) = -4*d**2. Let s(j) be the second derivative of j**5/60 + j**3/6 - j. Let b(l) be the second derivative of s(l). Calculate r(b(t)).
-16*t**2
Let d(s) be the second derivative of s**5/120 + s**3/6 + s. Let n(g) be the second derivative of d(g). Let m(k) = 2*k. Determine m(n(h)).
2*h
Let a(s) = -670*s - 3*s**2 + 