f)).
-f
Let a(r) be the third derivative of r**7/2520 - r**4/6 - 2*r**2. Let t(n) be the second derivative of a(n). Let x(o) = -8*o**2. What is x(t(q))?
-8*q**4
Let l(g) = -3*g**2. Let o(d) = 3*d + 16. Determine o(l(b)).
-9*b**2 + 16
Let t(d) = 10*d. Let z(f) = f**2. Calculate t(z(x)).
10*x**2
Let x(u) be the first derivative of 35*u**2/2 + 59. Let b(a) = -2*a**2. Determine b(x(v)).
-2450*v**2
Let i(q) be the third derivative of -3*q**4/4 - q**2. Let d(j) = -2*j. What is d(i(r))?
36*r
Let d(j) = -11*j**2. Let r(q) = -108*q. Give d(r(a)).
-128304*a**2
Let p(a) = 8*a. Let m(v) be the third derivative of -v**5/30 - 78*v**2. Give p(m(k)).
-16*k**2
Let m(z) be the third derivative of -z**4/12 - 8*z**2. Let p(o) be the first derivative of -o**2/2 + 4. Calculate p(m(y)).
2*y
Let b(d) = -105*d. Let c(t) = -t. Determine b(c(q)).
105*q
Let r(h) = -10*h + 12. Let j(m) = -m + 2. Let l(t) = -6*j(t) + r(t). Let y(v) = -2*v**2. Give l(y(a)).
8*a**2
Let p(a) = -4*a + 3. Let c(z) = 3*z**2. Calculate p(c(m)).
-12*m**2 + 3
Let s(x) = 10*x**2. Let n(p) = 5*p + 28. What is s(n(l))?
250*l**2 + 2800*l + 7840
Let g(t) = 6*t**2. Let a(j) be the third derivative of -j**4/24 - 15*j**2. Determine g(a(y)).
6*y**2
Let c(u) be the third derivative of 5*u**4/8 + 8*u**2. Let b(x) be the first derivative of x**2 + 7. Determine b(c(a)).
30*a
Let a(w) = -11*w. Let b(s) = 7*s + 5. Let t(k) = -3*k - 2. Suppose q - 10 = -5. Let o(c) = q*t(c) + 2*b(c). What is o(a(v))?
11*v
Let q(s) = -29*s**2. Let z(b) be the third derivative of -b**5/60 - 6*b**2. Give z(q(t)).
-841*t**4
Let u(s) = 31*s. Let a(f) = -3*f**2. What is u(a(l))?
-93*l**2
Let n(l) = -2*l**2. Let p(w) = -2*w - 22. What is n(p(f))?
-8*f**2 - 176*f - 968
Let a(d) = -2*d**3 + d + 1. Let j be a(-1). Suppose n - 2*h + 8 = 0, 0 = 2*h + h - 15. Let t(i) = i**n + j - 2. Let w(f) = -2*f**2. What is t(w(u))?
4*u**4
Let p(t) be the second derivative of t**3/3 + t. Let q(w) be the second derivative of w**4/6 + 4*w. Calculate q(p(z)).
8*z**2
Let y(m) = -3*m**2 + 15*m. Let w(z) = -35*z**2. Determine y(w(k)).
-3675*k**4 - 525*k**2
Let c(t) = 5*t**2. Let u(j) = -17*j**2 + 11*j. Let r(q) = -6*q**2 + 4*q. Let l(x) = 11*r(x) - 4*u(x). What is c(l(d))?
20*d**4
Let o(h) = -2*h**2. Let p(j) be the third derivative of j**6/360 + j**3/2 - 2*j**2. Let w(u) be the first derivative of p(u). Determine w(o(b)).
4*b**4
Let r(p) = -p. Let y(b) = 31*b - 7. What is r(y(m))?
-31*m + 7
Let i(j) be the second derivative of -j**3 - 8*j. Let f(b) = -10*b**2. Calculate f(i(y)).
-360*y**2
Let o(t) = -21*t - 14*t + 44*t - 16*t. Let u(k) be the second derivative of -k**4/6 + 2*k. Determine u(o(v)).
-98*v**2
Let j(f) = 4081*f. Let a(d) = -6*d. Calculate a(j(t)).
-24486*t
Let m(p) = -2*p. Let d(k) = 2*k**2 + 2. Determine m(d(a)).
-4*a**2 - 4
Let c(y) = -8*y. Let u(h) = 706 - 2*h**2 - 706. Determine c(u(k)).
16*k**2
Let t(h) = 1 - 12 + h + 11. Let n(g) = -4*g - 3. Let c(k) = -4*k - 2. Let p(m) = 3*c(m) - 2*n(m). What is t(p(x))?
-4*x
Let f(j) = 15*j. Let t(k) = -14*k**2 - 15*k**2 + 27*k**2. Give f(t(h)).
-30*h**2
Let a(c) be the second derivative of c**3/3 + 3*c + 4. Let b(o) = -13*o + 2. Give b(a(n)).
-26*n + 2
Let h(v) = 9*v**2. Let l(m) = -2*m - 6. What is l(h(w))?
-18*w**2 - 6
Let k(l) = 2*l. Let z(r) be the first derivative of r**5/20 - r**3 + 4. Let m(u) be the third derivative of z(u). What is k(m(t))?
12*t
Let b(w) = -28*w**2 + 8*w - 8. Let i(r) = -19*r**2 + 5*r - 5. Let d(u) = -5*b(u) + 8*i(u). Let l(p) = -3*p**2. Give l(d(s)).
-432*s**4
Let i(d) = 131*d**2 + 2. Let p(g) = 7*g + 2. Give p(i(c)).
917*c**2 + 16
Let y be (-36)/(-8) + 6/4. Let x = -4 + y. Let a(m) = 3*m**x - 3*m**2 + m**2. Let t(w) = -3*w. Give a(t(q)).
9*q**2
Let b(z) = 2941*z + 1. Let p(o) = 3*o. Calculate b(p(l)).
8823*l + 1
Let q(i) = 2*i. Let d(s) = -2121*s**2. Give q(d(c)).
-4242*c**2
Let s(n) = n. Let o(b) = 0*b + 0*b + 3*b. Calculate s(o(c)).
3*c
Let b = -4 + 8. Let v = 1 + 1. Let x(s) = b*s - 3*s - v*s. Let g(l) = -l**2. Give g(x(z)).
-z**2
Let y(x) be the third derivative of -x**7/2520 + x**4/24 - 2*x**2. Let w(c) be the second derivative of y(c). Let s(p) = -4*p. What is s(w(d))?
4*d**2
Let f(z) be the second derivative of -z**4/12 - 4*z. Let k(w) = 11*w. Calculate k(f(g)).
-11*g**2
Suppose b - 6*b = -15. Let c(h) = -8*h + 1 + 2 - b. Let z(u) = 2*u**2. Give c(z(n)).
-16*n**2
Let a(n) = -6*n + 2. Let q(d) = -32*d + 11. Let z(h) = 11*a(h) - 2*q(h). Let c(i) = -24*i**2. Give z(c(j)).
48*j**2
Let t(w) = -61*w. Let b(h) = -h + 4. Let v(a) = a - 6. Let x(s) = 3*b(s) + 2*v(s). What is x(t(d))?
61*d
Suppose 0*s + 0*s - 2*s = 0. Let k(a) be the third derivative of 0*a**3 + 0 + a**2 + 1/24*a**4 + s*a. Let f(i) = i. Give f(k(x)).
x
Let r(k) = 15*k**3 + 2*k - 2. Let l be r(1). Let t(i) = 3 + 14*i**2 - 3 - l*i**2. Let c(w) = -2*w. Determine c(t(b)).
2*b**2
Let a(p) = p**2. Let j(n) be the third derivative of 0*n**4 + 0*n**3 + 0 + 7/60*n**5 + 5*n**2 + 0*n. Calculate j(a(o)).
7*o**4
Let t(a) be the third derivative of 0 + 0*a - 6*a**2 + 0*a**3 - 1/15*a**5 + 0*a**4. Let q(g) = g**2 + 0 + 0. Determine t(q(b)).
-4*b**4
Let f(y) be the third derivative of -y**4/24 + y**2. Let n(t) be the first derivative of -2 + t**2 + 5 - 4. Give n(f(r)).
-2*r
Let m(l) be the second derivative of l**4/3 + 6*l. Let y(v) = 3*v**2. Calculate y(m(z)).
48*z**4
Let h(n) = n**2 - 37. Let i(s) = -2*s. Determine i(h(l)).
-2*l**2 + 74
Let m(a) = -2*a - 5. Let l(j) = -j + 10. Let b be l(8). Let c(s) = -1 + 2*s - b - 3*s. Let r(o) = 5*c(o) - 3*m(o). Let n(t) = 2*t**2. What is r(n(x))?
2*x**2
Let g(x) = x**2 + x - 1. Let c(q) = 12*q**2 + 6*q - 6. Let z(d) = c(d) - 6*g(d). Let j(u) = u**2. Determine z(j(h)).
6*h**4
Let w(p) = -34*p - 3. Let r(y) = -21*y**2. Give w(r(t)).
714*t**2 - 3
Let s(c) = -2*c. Let v(a) be the third derivative of 0 + a**2 + 0*a + 1/15*a**5 + 0*a**4 + 0*a**3. Calculate s(v(m)).
-8*m**2
Let h(y) = 3*y**2 + 3*y + 3. Let q(m) = m - 13 + 11 - 3*m**2 - 3*m. Let w(n) = -2*h(n) - 3*q(n). Let r(b) = -b. Determine w(r(k)).
3*k**2
Let t(b) be the first derivative of -27*b**2/2 + 16. Let v(q) = -q. What is v(t(j))?
27*j
Let v(z) = -5*z**2. Let i(d) = d**2 + 1. Let y(b) = -5*b**2 - 6. Let x(k) = 6*i(k) + y(k). Determine v(x(g)).
-5*g**4
Let y(r) = -7*r**2. Let i = 7 - 16. Let h(k) = -7*k**2 + 9*k - 9. Let n(b) = -3*b**2 + 4*b - 4. Let s(a) = i*n(a) + 4*h(a). Calculate s(y(o)).
-49*o**4
Let q(f) = -3*f**2. Let t(h) = -2*h**2 + 3. Let x(m) = 3*m**2 - 4. Let y = -15 + 11. Let k(w) = y*t(w) - 3*x(w). What is k(q(c))?
-9*c**4
Let k(w) = -2*w. Let s(a) be the second derivative of 0 + 0*a**2 - 8*a - 1/2*a**3. Calculate k(s(v)).
6*v
Let d(z) be the first derivative of -z**3/3 - 38. Let x(t) = -7*t. Determine x(d(u)).
7*u**2
Let t(y) = 1. Let v(a) = -a**2 + 2. Let o(i) = 2*t(i) - v(i). Let m = 6 - -1. Let q(c) = -2*c. Let u(h) = h. Let s(g) = m*u(g) + 4*q(g). Determine s(o(b)).
-b**2
Let c(b) = 2*b. Let p be 1*3/(-36)*-2. Let u(o) be the second derivative of o + 0 - p*o**3 + 0*o**2. What is u(c(n))?
-2*n
Let p(z) be the second derivative of 2*z**3/3 - z. Let q(f) = 1 + f**2 - 1. Calculate q(p(l)).
16*l**2
Let z(s) = 14*s. Suppose -3*v + 2*p = -1 - 1, 3*p = v + 4. Let f(c) = -3*c + c - v*c + 2*c. Give z(f(t)).
-28*t
Let t(c) be the second derivative of c**3 + 2*c - 25. Let i(r) = -9*r - 8. Let p(b) = b + 1. Let y(l) = -3*i(l) - 24*p(l). Determine y(t(o)).
18*o
Let z = -10 + 12. Let j(k) be the second derivative of 0*k**3 - k + 0*k**z - 1/6*k**4 + 0. Let l(y) = y. Determine j(l(g)).
-2*g**2
Let l(w) be the first derivative of 0*w - 2/3*w**3 + 0*w**2 + 5. Let h(y) = 5*y**2. Give l(h(m)).
-50*m**4
Let y(x) = -9*x - 5. Let i(u) = -13*u - 7. Let z(l) = -5*i(l) + 7*y(l). Let q(n) = -4*n + 2. Let f(k) = -5*k + 3. Let g(b) = 2*f(b) - 3*q(b). Give g(z(a)).
4*a
Let o(d) = d**2 - 587*d. Let a(q) = 4*q. Determine a(o(j)).
4*j**2 - 2348*j
Let l(s) = 4*s. Let u(a) = 274*a**2. Calculate l(u(q)).
1096*q**2
Let f(y) be the third derivative of 0*y + 0*y**3 + 0 + 1/24*y**4 + 3*y**2. Let h(o) be the second derivative of -o**4/4 - 2*o. Calculate f(h(t)).
-3*t**2
Let h(i) = 5*i. Let m(q) be the second derivative of q**4/4 + 3*q. Give h(m(n)).
15*n**2
Let s(y) be the third derivative of 7*y**4/12 + 2*y**2 + 9*y. Let r(w) = -2*w**2. Give r(s(a)).
-39