vative of -1/12*v**4 - v**2 + 0*v + 0 + 0*v**3. Let h(a) be the first derivative of a**3/3 + 7. What is h(c(g))?
4*g**2
Let k(r) be the second derivative of -r**6/180 + 2*r**3/3 - 8*r. Let z(t) be the second derivative of k(t). Let h(n) = -2*n. What is z(h(j))?
-8*j**2
Let n(z) = z**2. Let c(l) = -3*l**2 + 78. Calculate c(n(o)).
-3*o**4 + 78
Let x(u) = 60*u. Let f(n) = -54*n**2. Give x(f(o)).
-3240*o**2
Let v(f) = -3*f**2 - 72*f. Let u(k) = 4*k. Calculate u(v(h)).
-12*h**2 - 288*h
Let w(g) = -7*g**2. Let p(y) = 3*y**2 - 7. Let f(r) = 2*r**2 - 5. Let h(k) = 7*f(k) - 5*p(k). What is w(h(v))?
-7*v**4
Let g(a) = 2*a**2. Let x(z) = -6148*z. What is g(x(d))?
75595808*d**2
Let j(x) be the second derivative of x**4/2 - 8*x. Let m(q) = 2*q**2 - 3*q**2 + 3*q**2. Calculate m(j(k)).
72*k**4
Let n(h) = -4*h**2. Let w(r) = 7*r**2 + 4*r - 4. Let z(y) = -133*y**2 - 77*y + 77. Let b(c) = 77*w(c) + 4*z(c). What is n(b(a))?
-196*a**4
Let m(p) = -3*p. Let z(d) = -345*d**2 + 2*d. Give z(m(i)).
-3105*i**2 - 6*i
Let l(r) = r. Let z(c) = -3*c**2 - 4*c - 4. Let w(n) = 4*n**2 + 5*n + 5. Let t(h) = -4*w(h) - 5*z(h). Determine l(t(f)).
-f**2
Let j(f) = 3*f. Let i(t) be the second derivative of -2*t**3/3 + 2*t. Give i(j(w)).
-12*w
Let d(n) be the second derivative of n**4/4 - 20*n. Let r(z) = 12*z**2. What is r(d(h))?
108*h**4
Let i(t) = -t. Let h(o) = 1617*o**2. Determine i(h(g)).
-1617*g**2
Let f(l) = -5*l. Let a(p) = 255*p**2 + p. What is f(a(i))?
-1275*i**2 - 5*i
Let s(b) = b + 0 + 2 - 3*b. Let m be 2*-1*(-1)/(-2). Let k(d) = 1. Let v(a) = m*s(a) + 2*k(a). Let w(g) = 3*g. Determine v(w(j)).
6*j
Let a(i) = 0*i**2 + 3*i**2 - 5*i**2. Let y(o) = 8 - 4*o - 4 - o. Let q(f) = -14*f + 11. Let c(u) = -4*q(u) + 11*y(u). What is a(c(t))?
-2*t**2
Let j(c) = -61*c**2. Let v(b) = 16*b. Give v(j(r)).
-976*r**2
Let d(v) = v**2. Let z(m) = -5*m**2 - 10. Let x(y) = -y**2 - 2. Let j(f) = 22*x(f) - 4*z(f). Let q(c) be the first derivative of j(c). Give d(q(g)).
16*g**2
Let a(y) = -395*y. Let k(m) = -19*m. Give a(k(q)).
7505*q
Let k(v) = 2*v**2 - 2*v**2 - v**2. Let i(n) = 4*n - 2. Let y(r) = -17*r + 9. Let h(t) = 9*i(t) + 2*y(t). Give k(h(f)).
-4*f**2
Let f(c) = 7*c. Let m(p) = 765*p. What is m(f(o))?
5355*o
Let w(t) = 2*t. Let j(n) be the second derivative of n**4/3 + 3*n. Calculate j(w(v)).
16*v**2
Let g(v) = -10*v**2. Let o(a) = 11*a + 7. Let p(d) = -5*d - 3. Let u(s) = 3*o(s) + 7*p(s). Give g(u(b)).
-40*b**2
Let c(u) = 3*u. Let p(g) be the third derivative of 7*g**5/30 - 5*g**2 - 2*g. Give c(p(l)).
42*l**2
Let f(t) be the second derivative of t**4/3 - 11*t**3/6 + 4*t. Let v(h) = 2*h**2 - 6*h. Let l(r) = -6*f(r) + 11*v(r). Let m(u) = 2*u. Determine m(l(q)).
-4*q**2
Let n(f) = 2*f. Let g(a) be the first derivative of a**3/3 - 8. Calculate g(n(q)).
4*q**2
Let r(c) = 3*c**2 - 9. Let p(g) = 30*g**2 - 4*g. What is p(r(a))?
270*a**4 - 1632*a**2 + 2466
Let k(w) = w. Let m(g) be the first derivative of -35*g**2/2 + 39. Give m(k(z)).
-35*z
Let u(w) = -3*w**2 - 5. Let q(x) = -4*x**2 - 8. Let o(t) = 5*q(t) - 8*u(t). Let p(j) = -3*j. Give p(o(g)).
-12*g**2
Suppose -3*w = 2*w - 30. Let a(v) = -3*v**2 - 6*v + w*v. Let g(r) = 3*r**2. Determine g(a(x)).
27*x**4
Let m(k) = -4*k**2. Let z(b) = -b + 3. Let v be z(-3). Let y(d) = 4*d**2. Let w(c) = c**2. Let l(q) = v*w(q) - 2*y(q). Give m(l(t)).
-16*t**4
Let s = 32 - -43. Suppose z = 5*h + 22 - s, -h + 1 = 3*z. Let r(b) = 10 - h + b. Let j(y) = 2*y**2. Determine j(r(w)).
2*w**2
Let m(w) = 3*w. Let l(p) = -7*p**2. What is m(l(q))?
-21*q**2
Let k(m) = -m - 1. Let h(s) = -5*s - 2. Let r(l) = h(l) - 2*k(l). Let u(b) = -5*b - 69 + 137 - 68. Determine r(u(z)).
15*z
Let c(n) = 9*n**2 + 3*n. Let i(u) = -6*u. Calculate i(c(y)).
-54*y**2 - 18*y
Let y(r) = r. Let n(l) be the second derivative of l**3/6 + 19*l**2/2 - 14*l. Calculate n(y(q)).
q + 19
Let k(c) = -38*c. Let g(j) = 66*j. Determine k(g(i)).
-2508*i
Let o(l) = 12*l**2 + l + 112. Let s(p) = -2*p. Calculate o(s(y)).
48*y**2 - 2*y + 112
Let p(i) = 22*i**2 - 4*i + 4. Let t(z) = -17*z**2 + 3*z - 3. Let n(q) = -3*p(q) - 4*t(q). Let h(k) be the first derivative of -14*k**3/3 + 1. What is n(h(a))?
392*a**4
Let l(x) = -8*x**2 + 2*x**2 - 2*x**2 + 2*x**2. Let g(f) be the third derivative of f**5/60 + f**2. Give g(l(b)).
36*b**4
Let u(p) = p. Let k(r) = -101*r. What is u(k(f))?
-101*f
Let n(s) = -s + 1. Let p(l) = 2*l**2 + 4*l - 4. Let c(z) = -4*n(z) - p(z). Let d(w) = -3*w. Let a(f) = 2*f. Let j(r) = 10*a(r) + 6*d(r). What is c(j(t))?
-8*t**2
Let s(z) = 4*z - 4*z - z. Let f(w) = w - 4*w + 0 + 3 + 1. Let x(p) = 5*p - 7. Let n(k) = -7*f(k) - 4*x(k). What is s(n(y))?
-y
Let d(m) be the second derivative of -m**4/12 - 12*m. Let t(g) = -6*g - 8. Let y(j) = -2*j - 3. Let w = -4 + 1. Let n(i) = w*t(i) + 8*y(i). Give n(d(s)).
-2*s**2
Let c(u) = u**3 - u**2 + 2. Let h be c(0). Suppose w - h = 1. Let t(a) = -w*a + 7*a - 2*a. Let d(z) = z. Determine t(d(f)).
2*f
Let i(o) = 29*o + 1. Let f(t) = 0 - 9 + 2*t**2 + 9. Calculate i(f(n)).
58*n**2 + 1
Let j(q) be the second derivative of 13*q**4/6 - 2*q. Let a(m) = -2*m - 178 + 178. Calculate j(a(t)).
104*t**2
Suppose 0 = -5*p - 5*g + 30, -3*g + 0*g - 12 = -3*p. Suppose -1 - p = -2*f. Let n(s) = -s - s + f*s. Let z(i) = -i. Give z(n(t)).
-t
Let a(s) = -25*s**2. Let c(d) = -5*d + 2*d + 4*d. Calculate c(a(v)).
-25*v**2
Let a(k) be the third derivative of -k**4/12 + 2*k**2. Let n(j) be the first derivative of -j**2/2 + 16. Give a(n(c)).
2*c
Let u(w) = -14*w. Let m(j) = 18*j. Determine u(m(i)).
-252*i
Suppose -3*u + j = -8*u + 9, -4*u - 5*j + 3 = 0. Let w(n) = -2*n**u + 2*n**2 - n**2. Let m(a) = -4*a**2. What is w(m(d))?
-16*d**4
Let i(v) be the third derivative of -v**4/24 + v**2. Let d(m) = 2*m**2 + 3*m**2 - 2*m + 2*m. Give d(i(z)).
5*z**2
Let o(z) = 2 + 6*z - 2 - 5*z. Let f(n) be the first derivative of n**3 - 1. Give f(o(l)).
3*l**2
Let d(z) = -z. Let j(v) = -1608*v**2. Give d(j(i)).
1608*i**2
Let z(r) = -2*r. Let c(x) be the third derivative of 1/2*x**4 + 0*x + x**2 + 0 + 0*x**3. Give c(z(j)).
-24*j
Let v(f) = -585 + 14*f + 585. Let u(q) = -4*q. What is v(u(y))?
-56*y
Let h(b) = 5*b. Let c(f) = f. Let n(i) = 6*c(i) - h(i). Let d(x) = x**2 + x. Let o(l) = -6*l**2 - 5*l. Let p(r) = 5*d(r) + o(r). Give p(n(m)).
-m**2
Let s(b) be the first derivative of 2*b**3/3 - 1. Let c(y) be the third derivative of 0 - 1/6*y**4 + 0*y + 0*y**3 - y**2. What is c(s(p))?
-8*p**2
Let j(s) = -3*s. Let u(w) = -32*w. What is j(u(y))?
96*y
Let s(f) = -f. Let a(t) = -12*t - 5*t + 4*t - 2*t. Determine a(s(k)).
15*k
Let u(r) = -2*r. Suppose 3*k - 11 = 5*y, 3*k + 5*y = 1 - 0. Let b(d) = 4 - 9*d**2 - 4 - 4*d**k. What is b(u(n))?
-52*n**2
Let x(o) = o. Let p(l) = -154*l + 2. Calculate p(x(w)).
-154*w + 2
Let r(x) = 3*x**2. Let v(s) = -4*s**2. Let l(d) = 5*d**2 + 3*d**2 + 9*d**2. Let g(h) = -6*l(h) - 26*v(h). Give r(g(m)).
12*m**4
Suppose y - 5*o + 3 = 12, -24 = -2*y + 4*o. Let h(w) = 7*w. Let l(i) = -20*i. Let x(s) = y*h(s) + 5*l(s). Let k(u) = 8*u**2. Calculate x(k(j)).
-16*j**2
Let i(q) = -2*q**2. Let m(w) = 51*w - 10. Determine i(m(v)).
-5202*v**2 + 2040*v - 200
Let l(b) = -2*b**2. Let s(o) = 5644*o**2. Determine s(l(n)).
22576*n**4
Let z(p) = 3*p. Suppose 34 - 12 = 4*u + 2*o, -2*u + 2*o = -2. Let d be -1*u*1/(-1). Let s(j) = 2 - 2 - d*j. What is z(s(c))?
-12*c
Let b be 9 + -1 + 3 + -4. Let p(g) = 7 - b + 2*g**2. Let x(i) = 25*i**2 - 30. Let w(r) = r**2 - 1. Let z(s) = 30*w(s) - x(s). Give z(p(j)).
20*j**4
Let p(s) = -8*s**2. Let z(d) = -8*d - 4. What is z(p(g))?
64*g**2 - 4
Let d(s) = 16*s. Let x(z) = 351*z**2. Give d(x(r)).
5616*r**2
Let w(u) = 21*u**2. Let z(h) = -201*h**2. What is w(z(k))?
848421*k**4
Let z(m) be the second derivative of 0*m**2 + 6*m + 0 + 1/3*m**3. Let a(h) = 7*h**2. Give z(a(d)).
14*d**2
Let w(v) = 5*v. Let i(t) = -6*t + 5. Let x(k) be the second derivative of 7*k**3/6 - 3*k**2 - 3*k. Let c(y) = -6*i(y) - 5*x(y). Determine w(c(f)).
5*f
Let x(z) = 0*z**2 + 4*z**2 + 3*z**2 + 4*z**2. Let t(p) = 4*p. Let u(g) = g. Let k(c) = -2*t(c) + 7*u(c). Determine k(x(v)).
-11*v**2
Let v(d) = 271*d - 4. Let a(t) = -2*t. What is v(a(p))?
-542*p - 4
Suppose 0 = -a - 0*a. Suppose a = 2*y + 2 - 6. Let v(p) = 4*p**2 - 5*p**y + 0*p**2. Let m(b) = 2*b. Calculate v(m(x)).
-4*x**2
Let d(c) = 15*c. Let h(k) = -5