 4. Let k(g) be the second derivative of g**4/4 - g. Determine t(k(s)).
6*s**2
Let r(d) = d. Let w(h) = 136*h**2. What is w(r(q))?
136*q**2
Let s(g) = -2*g. Let p(l) be the second derivative of 0*l**3 + 0 + 2*l - 1/3*l**4 + 0*l**2. Determine s(p(z)).
8*z**2
Let n(i) = -2*i. Let s(p) = -p**3 + 9*p**2 - 7*p - 6. Let f be s(8). Let w be (-3)/(6/f) + 3. Let c(v) = 2*v + 3*v - w*v. Calculate c(n(x)).
-6*x
Let r(a) = -a + a + 2*a. Let g(p) = -3*p - 3. Let n be g(3). Let q(j) = j**2 - j. Let s(v) = 9*v**2 - 12*v. Let m(o) = n*q(o) + s(o). Give m(r(z)).
-12*z**2
Let t(u) = -u**2 - 5*u - 4. Let g be t(-4). Suppose g = -x + 2 + 2. Let h(z) = -z + x*z - 2*z. Let c(l) = l**2. Give h(c(a)).
a**2
Let r(a) = -2*a. Let l(m) be the first derivative of -31*m**3/3 - 9. Give l(r(i)).
-124*i**2
Let b(w) = -12*w - 4. Let a(d) = 23*d. Calculate a(b(t)).
-276*t - 92
Let u(i) = -i**2 + 2*i. Let z(p) be the second derivative of -p**4/6 + 17*p. Give u(z(l)).
-4*l**4 - 4*l**2
Let x(z) = -6*z**2. Let m be (3 + -5)*(-6)/4. Let j(s) = m*s - 3*s + 4*s**2 - 3*s**2. Determine j(x(a)).
36*a**4
Let d(o) = -o**2. Let g(p) = 8*p**2. Determine d(g(r)).
-64*r**4
Let i(n) = 356*n + 4. Let a(p) = -2*p**2. What is a(i(y))?
-253472*y**2 - 5696*y - 32
Let i(k) be the second derivative of k**4/4 - 4*k. Let a(u) be the third derivative of 0*u**3 - 1/24*u**4 + 0*u + 0 - u**2. Give i(a(d)).
3*d**2
Let i(f) = -3*f**2. Suppose 6*r + 5 = r. Let j(x) = -2*x**3 - x**2 - x. Let u be j(r). Let p(b) = u + 1 + 2*b**2 - 3. Give i(p(k)).
-12*k**4
Let f(h) = 8*h. Let q(m) = 7*m + 7. What is f(q(v))?
56*v + 56
Let c(i) be the first derivative of 2*i**2 - 3*i**2 + 1 + 2. Let g(x) = -9*x. Calculate g(c(v)).
18*v
Suppose 4*d = 8*d. Let b(o) be the third derivative of 0 + 0*o**4 + 1/60*o**5 + 0*o + d*o**3 + o**2. Let u(g) = -4*g. Determine u(b(a)).
-4*a**2
Let t(b) = 7*b. Let s = 1 - -4. Let a(j) = -7*j. Let c(k) = s*a(k) + 4*t(k). Let d(x) be the first derivative of -2*x**3/3 + 1. Give c(d(u)).
14*u**2
Let h(f) = -3*f**2. Let y be -3 + -6 + (0 - 1). Let m = -7 - y. Let l(j) = m*j**2 - j**2 - 3*j**2. Give h(l(o)).
-3*o**4
Let p(t) = 2*t**2. Let g(q) = 9*q**2 - 8*q - 8. Let s(z) = -3*z**2 + 3*z + 3. Let o(d) = -3*g(d) - 8*s(d). What is p(o(j))?
18*j**4
Let n(a) = -80*a**2 - 71*a**2 + 148*a**2. Let g(y) = 18*y. Calculate n(g(x)).
-972*x**2
Let q(c) = -c**2 - 226. Let u(r) = -5*r. Determine u(q(k)).
5*k**2 + 1130
Let y(k) = -2*k**2. Let a(r) = -10 + 2*r**2 - 2 - 7*r**2 + 2*r**2. Calculate y(a(q)).
-18*q**4 - 144*q**2 - 288
Let h(l) = -2*l. Let a(i) = 2703*i. What is a(h(d))?
-5406*d
Let o(w) = -w**2. Let f(m) = -738*m**2. Determine o(f(c)).
-544644*c**4
Let k(w) be the third derivative of w**5/15 + 5*w**2 - 6. Let u(t) = -t. Let x(y) = -y. Let f(s) = -6*u(s) + 10*x(s). Give k(f(v)).
64*v**2
Let f(c) = 8*c**2 - 584. Let h(a) = 2*a. Calculate h(f(y)).
16*y**2 - 1168
Let z(m) = 2*m**2. Let w(b) = 57*b + 6. Let h(j) = 57*j + 7. Let l(f) = -5*h(f) + 6*w(f). Give l(z(u)).
114*u**2 + 1
Let p(j) = 5*j - 5. Let k(x) be the third derivative of -x**4/8 + x**3/3 - 6*x**2. Let w(l) = -5*k(l) - 2*p(l). Let y(m) = -2*m**2. What is y(w(d))?
-50*d**2
Let c(h) = 4*h**2. Let i = -28 + 31. Let x(m) be the first derivative of -2/3*m**i + 0*m - 3 + 0*m**2. Calculate c(x(j)).
16*j**4
Let h(q) = q. Let f(c) = -9*c**2 - 4*c. What is f(h(s))?
-9*s**2 - 4*s
Let k(f) = -7*f. Let i(g) = -g**2 + 81. Calculate i(k(t)).
-49*t**2 + 81
Let b(d) = -2*d. Let j(o) = 2*o**2 + 51*o - 3. Let w(g) = 6*g**2 + 152*g - 8. Let z(k) = -8*j(k) + 3*w(k). What is z(b(h))?
8*h**2 - 96*h
Let y(k) = -3*k**2. Let z(d) = -2512*d. Give z(y(t)).
7536*t**2
Let p(c) = -6*c**2 - 7*c. Let s(v) = -4*v**2. Determine p(s(q)).
-96*q**4 + 28*q**2
Let k = -4 + -3. Let q(s) = 3*s**2 + 2*s. Let u(l) = -10*l**2 + 0 - 7*l + 0. Let h(z) = k*q(z) - 2*u(z). Let o(n) = -n**2. What is h(o(x))?
-x**4
Let j(x) = x**2. Let h(n) = 9*n - 5. What is j(h(w))?
81*w**2 - 90*w + 25
Let c(y) = 4*y**2. Let m(x) be the first derivative of -2*x**3/3 + 6. Give c(m(p)).
16*p**4
Let m(r) be the third derivative of -r**4/24 - 3*r**2. Let j(a) = -5*a. Give m(j(z)).
5*z
Let t(f) = -792*f**2. Let v(q) = 26*q**2. Determine v(t(n)).
16308864*n**4
Let v(a) = 19*a**2. Let d(m) be the second derivative of -m**4/12 + 4*m. Calculate d(v(y)).
-361*y**4
Suppose i = -5*k + 7 + 7, 4*i = -4*k + 8. Let v(b) be the second derivative of 0 + 0*b**2 - 1/3*b**k - b. Let g(z) = -4*z**2. Calculate v(g(d)).
8*d**2
Let s(g) = g + 7*g**2 - g. Let v(d) = 0*d**2 + 17*d**2 - 16*d**2. What is v(s(n))?
49*n**4
Let n be (11 + -1)/2 + -1. Let k(o) = -o**2 - 7. Let t(i) = -4. Let b = -14 + 7. Let z(s) = b*t(s) + n*k(s). Let l(v) = v**2. Calculate l(z(j)).
16*j**4
Let o(x) = 2*x. Let h = 99 - 96. Let l(s) be the second derivative of 0*s**2 + 2/3*s**h + 3*s + 0. Calculate o(l(y)).
8*y
Let s(z) = z**2 - 2. Let m be (-66)/11 + 1*3. Let f(r) = r**2 - 3. Let p(w) = m*s(w) + 2*f(w). Let l(q) = q**2. What is p(l(v))?
-v**4
Let k(w) = -1. Let u(q) = -q - 2. Let p(m) = 2*k(m) - u(m). Let y(o) = -7*o**2 + 0*o**2 + 6*o**2. Determine p(y(l)).
-l**2
Let h(s) be the first derivative of 5*s**3/6 + 3*s - 3. Let b(x) be the first derivative of h(x). Let f(n) = -n - n + 0*n. What is b(f(o))?
-10*o
Let h(a) = -a**2. Let c be (-79)/30 + 2 - 8/(-12). Let t(u) be the third derivative of 0 + 0*u**3 - 2*u**2 + c*u**5 + 0*u**4 + 0*u. What is h(t(x))?
-4*x**4
Let c(x) = -15*x. Let p(q) = -2*q**2 - 6*q + 6. Let u(r) = -2*r**2 - 5*r + 5. Let d(y) = -5*p(y) + 6*u(y). Determine c(d(m)).
30*m**2
Let i(r) = -r. Let y(t) = t - 124. Determine i(y(c)).
-c + 124
Let p(z) = 5*z**2. Let q(d) = -3*d**2 + 53. What is q(p(x))?
-75*x**4 + 53
Let u(h) = -3*h**2. Let j(z) = -3*z**2 + 9*z**2 - 7*z**2 - 8*z**2. Determine j(u(b)).
-81*b**4
Let f(v) = v. Let y(g) = g + 1. Let m(q) = -2*q - 8. Let d(w) = m(w) + 3*y(w). What is f(d(u))?
u - 5
Let i(c) = 5*c**2 + 6. Let q(g) = 2*g - 5 - 4*g**2 - 2*g. Let u(w) = 5*i(w) + 6*q(w). Let m(l) = -7*l - 3 + 3 + 5*l. What is u(m(h))?
4*h**2
Let l(i) = -10*i**2. Let x(v) = -16 - 3*v + 16 + v. Give x(l(r)).
20*r**2
Let k(x) = -161*x - 12. Let i(u) = -3*u**2. Give k(i(r)).
483*r**2 - 12
Let l(s) = -5*s - 6*s + 15*s - 3*s. Let t(c) = -1 - 2*c + 1. What is l(t(i))?
-2*i
Let c(s) = 7*s. Let y(a) = 1 + 30*a - 28*a - 1. Give c(y(w)).
14*w
Let l(i) = 3*i. Let g(p) = -3*p**2 - 44*p. Determine g(l(d)).
-27*d**2 - 132*d
Suppose 2*s - 3 = -3*z - 11, -5*s + z = -14. Let r(h) = -2 - h**2 + 0*h**s + 2. Let u(g) = -3*g. Give u(r(t)).
3*t**2
Let d(z) = z**2 + 5*z + 6. Let x be d(-4). Let s(t) = t**x - t**2 - t**2. Let v(c) be the third derivative of -c**5/60 - 5*c**2. What is v(s(b))?
-b**4
Let v(q) = -q. Let a(c) = -133*c. Determine a(v(t)).
133*t
Let g(h) = -h. Let t(z) = -5*z**2 - 2*z. Let u be (3 + -1 + -1)/(-1). Let k(c) = -c**2 - c. Let y(n) = u*t(n) + 2*k(n). Calculate g(y(v)).
-3*v**2
Let j(g) = 9*g. Let k(a) = 5*a. Let o(f) = 3*j(f) - 5*k(f). Let w(b) = 6*b. What is o(w(x))?
12*x
Let k(a) = a**2. Let o(g) = -3*g. Let j(l) = 5*l. Let m(w) = 4*j(w) + 9*o(w). Give m(k(d)).
-7*d**2
Let m(d) = d. Let v(b) be the first derivative of 34*b**3/3 - 31. What is v(m(j))?
34*j**2
Let o(k) = -5*k**2 - 3. Let n(f) = -5*f**2 + 2*f. Determine n(o(x)).
-125*x**4 - 160*x**2 - 51
Let j(k) = 37*k. Let a(x) = 3*x**2. What is j(a(m))?
111*m**2
Let l(b) be the second derivative of b**4/4 - 11*b. Let h(c) = -6*c**2. Give h(l(z)).
-54*z**4
Suppose 0 = -n - 3*n - 16. Let a be -1*6*2/n. Let y(k) = 1 + 2 + 6*k**2 - a. Let q(x) = -2*x**2. What is y(q(h))?
24*h**4
Let k(z) be the first derivative of 0*z + 0*z**3 + 1/8*z**4 + 3/2*z**2 + 2. Let v(y) be the second derivative of k(y). Let a(c) = 2*c. What is a(v(x))?
6*x
Let w(q) = -q. Let t(k) = -8*k. Let z(d) be the first derivative of 2*d**2 + 3. Let c(r) = 3*t(r) + 7*z(r). Calculate c(w(f)).
-4*f
Let b(c) = -23*c**2. Let n(k) = -7*k**2 - 6*k + 6. Let i(w) = -15*w**2 - 13*w + 13. Let v(d) = 6*i(d) - 13*n(d). Determine v(b(z)).
529*z**4
Let n(y) = 7*y**2 - 4. Let r(z) = 20*z**2 - 11. Let f(x) = 11*n(x) - 4*r(x). Let g(i) = -i. Calculate f(g(p)).
-3*p**2
Let c(j) = -j**2. Suppose 0 = -4*b + 10 + 2. Let p(d) be the second derivative of d + 0 + 0*d**2 + 7/6*d**b. Determine p(c(w)).
-7*w**2
Let c(g) = -5*g**2 + 10*g**2 - 3*g**2 - 4*g**