derivative of d**4/8 + 2*d**2. Let a(f) be the second derivative of -f**4/12 + 21*f. Determine b(a(x)).
-3*x**2
Let x(l) = l. Let w(q) = q - 3. Let j(b) = b - 2. Let d(z) = -3*j(z) + 2*w(z). Calculate x(d(h)).
-h
Let p(c) = -6*c + 0*c + 4*c. Suppose -8*z = -4*z + u - 29, z - 3*u + 9 = 0. Let g(f) = z - 2 - 3*f - 4. What is p(g(r))?
6*r
Let n(f) = 2*f. Let a(l) = -3*l + 5. Let v = -5 + 9. Let c(d) = 5*d - 9. Let i(p) = v*c(p) + 7*a(p). Let k(u) = -1. Let g(t) = 2*i(t) - 2*k(t). What is n(g(h))?
-4*h
Let n(c) = 7*c. Let i(m) = -10*m**2 + 17*m**2 - 8*m**2. Calculate n(i(o)).
-7*o**2
Let w be (2/3)/((-7)/(-21)). Suppose -2*z = -2*b + 2, 3*b - 4 = -3*z + 5*z. Let n(j) = 0*j**b + 0*j**w + j**2. Let m(g) = g**2. Give n(m(i)).
i**4
Let h(m) = -3*m - 1. Let b be h(-1). Let k(r) = 5*r + 0*r - r - b*r. Let y(v) = -5*v. Determine y(k(q)).
-10*q
Let i(o) = -10*o**2. Let a(d) = 3*d**2. Let p(v) = 8*a(v) + 3*i(v). Let u(j) = -5*j. Determine p(u(m)).
-150*m**2
Let s(u) = -9*u. Let v(a) = -2. Let j(b) = b - 1. Let n = 8 + -7. Let t = -2 + n. Let r(g) = t*v(g) + 2*j(g). What is s(r(k))?
-18*k
Let b(m) = -m**2. Let l = 5 - 2. Let h = 6 - l. Let c(n) = h + 2*n**2 - 3 + 0. Determine b(c(t)).
-4*t**4
Let n(f) = -7*f**2. Let u(r) = 12*r. Determine u(n(m)).
-84*m**2
Let w(a) = 2*a + 2. Let j(p) = -6*p - 8. Let f(g) = j(g) + 4*w(g). Let y(l) be the second derivative of -4*l**3/3 + l. Give f(y(r)).
-16*r
Let b(w) = 10*w + 5. Let y(a) = 5*a + 2. Let f(c) = -2*b(c) + 5*y(c). Let g(k) = k. Give f(g(l)).
5*l
Let w(s) = s**2. Let t be (1 + 2/(-3))*9. Let k(j) = -j - 6*j + t*j. Give k(w(n)).
-4*n**2
Let b(c) = 11*c. Let u(o) = -4*o**2 + 39. Give u(b(z)).
-484*z**2 + 39
Let d(k) be the third derivative of k**4/12 + 2*k**2. Let l(b) = -4*b**2 + 7*b. Let x(s) = s**2 - 2*s. Let j(z) = -6*l(z) - 21*x(z). Calculate d(j(g)).
6*g**2
Let r(t) be the third derivative of t**7/1260 + t**5/60 + 3*t**2. Let c(u) be the third derivative of r(u). Let b(n) = n. Give c(b(p)).
4*p
Let y(f) = 7*f**2. Let z(w) = -7*w + 374 - 374. What is z(y(b))?
-49*b**2
Let d(x) be the first derivative of x**3/3 - 1. Let v(j) = 8*j. Give v(d(p)).
8*p**2
Let c(h) = -7*h. Let r(k) = 45*k. What is r(c(x))?
-315*x
Let u(t) = 25*t. Let o(v) = 3*v**2 + 7*v - 7. Let h(n) = n**2 + 2*n - 2. Let x(l) = -7*h(l) + 2*o(l). Determine u(x(z)).
-25*z**2
Let a(d) = -d**2. Let q = -7 - -7. Suppose -2*o + q*o = -6. Let s(u) = 0*u - 2*u - 3 + o. Give a(s(b)).
-4*b**2
Let t(j) be the second derivative of -j + 0*j**2 + 0 - 1/3*j**3. Let h(c) = -3*c**2. Give h(t(q)).
-12*q**2
Let w(t) = -t. Let u(l) be the second derivative of 3*l + 0 + 0*l**2 - 1/4*l**4 + 0*l**3. Give u(w(f)).
-3*f**2
Let m(z) be the third derivative of z**5/12 - 3*z**2. Let u(c) = -c - 6. Let j(d) = 1. Let s(y) = 6*j(y) + u(y). Calculate m(s(w)).
5*w**2
Let t(r) = -20*r. Let a(y) be the second derivative of -y**4/12 - 20*y. What is t(a(v))?
20*v**2
Suppose 3 = i + 2*i, -4*g + 6 = -2*i. Let s(z) = -2 - 1 + 3 + 4*z**g. Let d(u) = -2*u. Calculate d(s(f)).
-8*f**2
Let p(u) = u. Suppose -2 = -2*d - 16. Let m = -20 - d. Let j(v) = -v**2 - 6. Let w(q) = q**2 + 13. Let t(b) = m*j(b) - 6*w(b). What is p(t(x))?
7*x**2
Let l(w) = -78*w**2 + 2. Let d(m) = m. Calculate d(l(v)).
-78*v**2 + 2
Let o(g) = g. Let r(v) be the third derivative of v**4/8 - v**3/6 + v**2 + 5*v. Give o(r(s)).
3*s - 1
Let j(i) be the third derivative of -i**5/30 + 10*i**2. Let m(t) = -t. Calculate j(m(g)).
-2*g**2
Let h(l) = 2*l + l - 23 + 23. Let w(j) = 3*j**2. Determine w(h(n)).
27*n**2
Suppose 3*k - 160 = k. Let m(d) = -d + 80 - k. Let n(l) = -12*l**2. Give m(n(j)).
12*j**2
Let l(a) = 12*a - 9*a - 8*a. Let h(y) = 0*y**2 + 2*y**2 + 0*y**2. Calculate l(h(s)).
-10*s**2
Let a(f) = 17*f + 2. Let z(x) = -33*x**2. Determine a(z(b)).
-561*b**2 + 2
Let z(o) = -376*o**2 - 16*o. Let m(f) = 2*f. Give m(z(d)).
-752*d**2 - 32*d
Let x(g) = -2*g**2. Let w(f) = -2*f - 3. Let s(l) = 3*l + 5. Let r(t) = 3*s(t) + 5*w(t). Give r(x(a)).
2*a**2
Let m(k) = -2*k + 0*k - k. Let x(r) = -r + 2. Let f(y) = -3*y + 1. Let t(z) = 1. Let q(a) = f(a) + 6*t(a). Let l(p) = -4*q(p) + 14*x(p). Determine l(m(o)).
6*o
Let j(y) = -y**3 - 6*y**2 + 2*y - 6. Let o be j(-7). Let r(g) = 4*g - 2*g + 29 - o. Let u(p) = -8*p. Give r(u(t)).
-16*t
Let m(d) = -2*d + 3. Let o be m(2). Let g(k) = -8*k**2 - 6. Let v(h) = h**2 + 1. Let p(j) = o*g(j) - 6*v(j). Let y(b) = -b + b - 4*b + 5*b. Determine p(y(c)).
2*c**2
Let s(k) = 10*k. Let o(l) = 61*l**2. What is s(o(p))?
610*p**2
Let m(h) = 3*h. Let o(s) be the first derivative of 0*s - 1/3*s**3 + 0*s**2 + 3. Determine o(m(g)).
-9*g**2
Let t(i) = 5*i**2 + 9*i. Suppose -2*x + 0 - 8 = -4*b, -5*x = -4*b + 8. Let k(g) = -g**2 - 2*g. Let l(f) = b*t(f) + 9*k(f). Let d(y) = 6*y**2. Give d(l(h)).
6*h**4
Let g(r) be the second derivative of -r**6/360 - r**3/2 - r. Let j(s) be the second derivative of g(s). Let x(b) = 4*b**2. What is j(x(f))?
-16*f**4
Let h(p) = 2 + 18*p + 1 - 3. Let a(n) = -2*n. Determine a(h(z)).
-36*z
Let v(g) = 2*g**2 - 2 + 2. Let j(z) = 6 - 12 + 2*z**2 + 6. What is v(j(n))?
8*n**4
Let j(q) = 3*q. Let n be ((-8)/(-10))/(-1)*-5. Let h(z) = -3*z + 0*z + n*z. What is h(j(u))?
3*u
Let l(b) = b**2 + 18*b + 19. Let h be l(-17). Let y(j) = 2*j**2 + j**2 + h*j**2 - 6*j**2. Let s(z) = -17*z**2. Give s(y(a)).
-17*a**4
Let n(a) = a. Let w(q) = 0*q + 4*q**2 + 0*q. Calculate w(n(d)).
4*d**2
Let j(b) = -3*b + b + 0*b. Let n(l) = 3*l**2 + 6*l. Let x(y) = -y. Let r(g) = n(g) + 6*x(g). Give r(j(i)).
12*i**2
Let i(l) = 9*l**2. Let a(n) = n**2 + 5. Calculate a(i(u)).
81*u**4 + 5
Let u(w) = -w - 5. Let y(z) = z + 4. Let s(h) = 4*u(h) + 5*y(h). Let n(p) = -p**2 + 14*p. Determine n(s(a)).
-a**2 + 14*a
Let t(r) = 3*r. Let x(s) = -2*s**2 + 68*s. Determine x(t(q)).
-18*q**2 + 204*q
Let z(q) be the first derivative of 11*q**2/2 + 2. Let c(o) be the first derivative of -o**2/2 + 2. Calculate c(z(v)).
-11*v
Let r(y) = -6*y**2 - 4*y - 4. Let q(u) = u**2 + u + 1. Let t(w) = -4*q(w) - r(w). Let i(m) = -10*m + 5*m - 2*m + 6*m. Give t(i(j)).
2*j**2
Let y be (-3)/(1 + 2) - -3. Let t(h) = 0*h**2 - 4*h**2 + y*h**2. Let m(b) = -2*b. Give m(t(g)).
4*g**2
Let b(q) = -5*q**2. Let u(d) = -4*d + 4*d**2 + 5 + 4*d. Let g(k) = -2*k**2 - 3. Let f(o) = 5*g(o) + 3*u(o). Give f(b(x)).
50*x**4
Let d(n) = -2*n. Let u(t) = -6*t**2 + 52*t - 52*t. Give u(d(s)).
-24*s**2
Let k(q) be the third derivative of -q**5/30 + q**4/8 + q**2. Let w(c) = -4*c**2 + 5*c. Let d(j) = 5*k(j) - 3*w(j). Let f(v) = -6*v. Determine d(f(a)).
72*a**2
Suppose 0*m + 8 = m - d, -3*m + 5*d + 32 = 0. Suppose -m*s + 3*f - 2 = -18, 4*s - 16 = f. Let y(b) = 4*b - b - s*b - b. Let i(o) = 3*o**2. What is y(i(x))?
-6*x**2
Let w(x) = -3*x**2. Let z(o) = -159*o**2. What is w(z(q))?
-75843*q**4
Let m(k) = -2*k - 3. Let z(c) = 4*c + 5. Let w(r) = 5*m(r) + 3*z(r). Let y(q) be the first derivative of q**2 - 15. Determine y(w(d)).
4*d
Let h(t) = -2*t**2. Let d(j) = -j + 1. What is d(h(y))?
2*y**2 + 1
Let x(u) = 3*u**2 - u. Let z(n) be the first derivative of -2*n**3/3 - 32. Give z(x(b)).
-18*b**4 + 12*b**3 - 2*b**2
Let b(l) = -6*l**2 + 4. Let x(s) = -3*s. Give x(b(k)).
18*k**2 - 12
Let k(o) = 2*o. Let u(v) = -32*v**2 - 7*v - 7. Let n(j) = -21*j**2 - 5*j - 5. Let h(a) = 7*n(a) - 5*u(a). Give h(k(w)).
52*w**2
Let u(b) = -9*b. Let a(r) = -144*r. Let n(m) = -4*a(m) + 63*u(m). Let q(f) = 19*f**2 - 44*f**2 + 23*f**2. Determine q(n(d)).
-162*d**2
Let x(v) be the first derivative of -3*v**2/2 + 11. Let a(o) = -7*o**2. Give a(x(k)).
-63*k**2
Let f(u) be the third derivative of u**5/30 + u**2. Let j = 5 + -3. Let c(y) = 0*y**j - 3*y**2 + 5*y**2. Determine c(f(w)).
8*w**4
Let d(z) = 1. Let n be (-10)/(-5) - 1*4. Let i(v) = 7*v**2 - 2. Let o(f) = n*d(f) - i(f). Let b(a) = -a. Determine o(b(t)).
-7*t**2
Let u(w) = 6*w**2 + 4*w - 4. Let p(q) = -7*q**2 - 5*q + 5. Let h(v) = 4*p(v) + 5*u(v). Let a(t) = -11*t. Calculate a(h(j)).
-22*j**2
Let a(t) be the third derivative of -t**4/12 + 44*t**2. Let m(c) = c + 1. Let l(r) = -4*r - 3. Let v(y) = -2*l(y) - 6*m(y). Calculate a(v(q)).
-4*q
Let r(c) = 5*c**2 + 0*c**2 - 4*c**2. Let b(z) = -5*z + 7 - 2 + z. Let m(j) = 6*j - 7. Let u(i) = 7*b(i) + 5*m(i). Determine r(u(d)).
4*d**2
Let l(r) = -2*r + 329. Let w(s) = 2*s. Determine l(w(n)).
-4*n + 329
Let a(u) = -u**2