4. Let t(q) = -2*q. Determine a(t(n)).
-16*n + 4
Let s(g) = -3*g - 4*g + 12*g - 9*g. Let w(o) = o. Determine s(w(c)).
-4*c
Let i(s) be the first derivative of -13*s**2/2 - 1. Let d(v) be the second derivative of v**4/6 + 9*v - 4. What is i(d(k))?
-26*k**2
Let o(t) = t. Let s(f) = -7*f + 3. Let z(g) = 14*g - 5. Let i(c) = 5*s(c) + 3*z(c). Determine i(o(v)).
7*v
Let v(x) = 12*x**2. Let y(t) = 4*t**2. What is v(y(q))?
192*q**4
Let p(a) be the first derivative of -a**2 + 1. Let n(z) = 4*z + 40. Let w(c) = -2. Let g(t) = -n(t) - 20*w(t). What is p(g(k))?
8*k
Let m(n) be the second derivative of 0*n**3 + 0*n**2 + 0 + 1/4*n**4 + 4*n. Let p(y) = 3*y**2. Determine m(p(f)).
27*f**4
Let m(l) = -5*l**2. Suppose 4 = -4*k + 3*z - 0*z, -3*z = -3*k - 6. Let g(s) = -3*s**2 - s**2 + s**k. Determine m(g(j)).
-45*j**4
Let a(z) = -2803*z**2. Let b(y) = -2*y. Determine b(a(i)).
5606*i**2
Let m(d) = -113*d**2. Let x(i) be the first derivative of i**3/3 + 13. Determine x(m(t)).
12769*t**4
Let v(m) = -14*m. Let f(k) = 235*k**2. Calculate v(f(w)).
-3290*w**2
Let g(v) = -v**2. Let j(w) = -20*w**2 + w. Give j(g(k)).
-20*k**4 - k**2
Let z(x) be the second derivative of x**3/2 - x. Let r(d) = 2*d. What is z(r(c))?
6*c
Let u(w) = -1949*w**2. Let y(a) = -a. Give y(u(s)).
1949*s**2
Let b(c) = -c - 5. Let d(r) = -2*r. Determine d(b(a)).
2*a + 10
Let m(p) = 2*p. Let i(g) = 15*g**2 - 5. Let t(b) = 15*b**2 - 6. Let y(j) = 6*i(j) - 5*t(j). Calculate y(m(x)).
60*x**2
Let t(c) = c**2. Let w(s) = s - 1. Let k be w(3). Let x(m) be the first derivative of 1 - 3*m + m**k + 3*m. What is t(x(n))?
4*n**2
Let w(x) = 2*x**2 - 5*x. Let k(m) = -3*m**2 + 8*m. Let d(q) = -5*k(q) - 8*w(q). Let v(p) = 5*p. Give v(d(y)).
-5*y**2
Let n(m) = 8*m**2. Let i(b) = -29 - 2*b**2 + 29. Calculate n(i(z)).
32*z**4
Let i(o) = 36*o**2 + 12*o - 2. Let d(g) = -g. Calculate i(d(p)).
36*p**2 - 12*p - 2
Let a(y) be the first derivative of y**2 + 4. Let n(r) be the second derivative of r**3/6 + 6*r. Determine n(a(b)).
2*b
Let x(a) = -2*a**2 + 7*a. Let y(w) = w**2 - 3*w. Let f(u) = -3*x(u) - 7*y(u). Let j(k) = 10*k. Give j(f(t)).
-10*t**2
Let x(n) be the first derivative of -n**3 + 2. Suppose 4*r - 5 = -3*p, 2*p + 0*p + 4*r - 2 = 0. Let j(d) = p + 2*d - 3. Determine x(j(g)).
-12*g**2
Let f(c) = -5*c - 38. Let i(u) = 4*u**2. Determine i(f(l)).
100*l**2 + 1520*l + 5776
Let y(c) = -6*c. Let s(w) be the third derivative of w**5/30 - 11*w**2. Calculate y(s(m)).
-12*m**2
Let k(z) = 6*z**2 - 1297*z. Let j(w) = w**2. Determine k(j(v)).
6*v**4 - 1297*v**2
Let r(l) = -3*l**2. Suppose -4*z + 5*i - 17 = -0, -3*z + 2*i - 4 = 0. Let n(g) = 0*g + 7*g - z*g. Determine r(n(v)).
-75*v**2
Let s(j) = -3*j. Let t(n) = 103*n. Give s(t(h)).
-309*h
Let z(l) be the second derivative of -7*l**3/6 - 9*l. Let j(s) = -2*s. What is z(j(r))?
14*r
Let v(n) be the first derivative of n**4/12 + n - 7. Let d(k) be the first derivative of v(k). Let b(f) = 12*f. What is b(d(t))?
12*t**2
Let a(u) = -2*u - 6. Let y be a(-4). Let o(b) = -3*b + 2*b + y*b. Let p(x) = -5 - 2*x**2 + 5. What is p(o(w))?
-2*w**2
Let r(f) = 2*f**2. Let g(o) = o**2 - 4. Let d be g(5). Suppose 5*i = -w + d, 9 = 5*i - 5*w - 6. Let n(j) = -4*j - 4 + i. What is r(n(b))?
32*b**2
Let o(y) = -4*y**2 + 11*y**2 - 11*y**2. Let j(v) = v. Calculate j(o(q)).
-4*q**2
Let a(l) = -2 + 4*l + 2. Let g(w) = 5*w. Let r(j) = -6*j. Let t(h) = 5*g(h) + 4*r(h). Determine t(a(m)).
4*m
Let v(l) = 9*l. Let t(m) be the first derivative of m**2/2 + 9. Calculate v(t(y)).
9*y
Let v(z) = -24*z**2. Let t(m) = 43*m**2 + 3. What is v(t(x))?
-44376*x**4 - 6192*x**2 - 216
Let b(c) = 10*c**2. Let t(q) be the first derivative of -4*q**3/3 + 33. Give b(t(f)).
160*f**4
Let l(d) be the second derivative of -d**3/3 + 3*d. Let b(h) = h**2 + 3*h - 4. Let p be b(-4). Let m(w) = 5*w - 4*w + p*w. Give m(l(g)).
-2*g
Suppose -5 = -3*n + 4. Let r(a) = -1. Let i(b) = 6*b**2 + 3. Let y(m) = n*r(m) + i(m). Let z(g) = -g. Calculate y(z(v)).
6*v**2
Let d(s) = 3 + 3*s - 3. Let j(y) be the second derivative of -y**6/360 + y**4/12 + y. Let p(z) be the third derivative of j(z). Determine d(p(b)).
-6*b
Let v(n) be the first derivative of -4*n**3/3 + 18. Let a(f) = -8*f**2. What is v(a(s))?
-256*s**4
Let g(o) be the first derivative of o**3 + 1. Let d(b) be the first derivative of 2*b + b**2 - 2*b - 3 + 7. Calculate d(g(z)).
6*z**2
Let z(b) = 2*b**2 - 650. Let c(k) = -3*k. Calculate c(z(o)).
-6*o**2 + 1950
Let x(t) be the third derivative of 0*t + 0 + 0*t**3 - 1/12*t**4 + 2*t**2. Let r(c) = -3*c**2 - 3*c**2 + 5*c**2. Calculate x(r(o)).
2*o**2
Let y(p) = -p**2. Let x(a) = 33*a**2. Give y(x(c)).
-1089*c**4
Let r(c) = c**2. Let z(h) = -6*h. Suppose -l - 40 = 4*n, -5*l - 53 = 5*n - 3*l. Let w(d) = -12*d. Let y(s) = n*z(s) + 5*w(s). Give r(y(f)).
36*f**2
Let h be (-18)/(-3)*(-2)/(-3). Suppose 1 = 5*g - h. Let r(z) = g + z - 1. Let n(j) = 2*j. Determine n(r(d)).
2*d
Let v(j) = -2*j**2. Let t(w) = -11*w + 2*w - 7 + 2. Let g(o) = 44*o + 24. Let p(m) = -5*g(m) - 24*t(m). What is p(v(x))?
8*x**2
Let l(f) = 18*f. Let u(c) = c. What is u(l(z))?
18*z
Let v(n) = -4*n**2 - 85. Let j(h) = 2*h**2. Give j(v(y)).
32*y**4 + 1360*y**2 + 14450
Let k(g) = -3*g**2 + 3*g**2 + g**2. Let v(h) = -h. Determine v(k(d)).
-d**2
Let w(p) be the second derivative of 5*p**4/12 + 10*p. Let m(a) = -2*a**2. Determine m(w(d)).
-50*d**4
Suppose 3 + 12 = 3*a. Let l(h) = -h - h + a*h + 5*h. Let b(s) = -6 + 3*s + 6 - 5*s. Calculate l(b(x)).
-16*x
Let w(y) be the first derivative of -11*y**3/3 - 5. Let m(x) = x. Determine w(m(z)).
-11*z**2
Let n(p) be the first derivative of p**3/3 + 30. Let l(k) = 2*k. What is n(l(a))?
4*a**2
Let a(w) = 2*w + 0*w + 2*w. Let f(k) = -4*k**2 + 5*k + 5. Let q(i) = 5*i**2 - 6*i - 6. Let j(l) = 6*f(l) + 5*q(l). What is a(j(x))?
4*x**2
Let m(q) = -78*q. Let l(j) = j**2. Give l(m(i)).
6084*i**2
Let x(v) = -2*v. Let i(q) = 123*q. Determine x(i(t)).
-246*t
Let i(z) = 7*z. Let b(f) = -f + 0*f + 2*f. What is b(i(y))?
7*y
Let l(t) = -t. Let r(q) = -3*q**2 + 7*q. Let n(w) = -w**2 + 2*w. Let g(m) = 7*n(m) - 2*r(m). What is g(l(j))?
-j**2
Let m(d) = 2*d**2. Let t(i) = 156*i - 2. Determine t(m(k)).
312*k**2 - 2
Let i(g) = 2*g**2. Let j(s) = -2*s**2 + 5*s + 5. Let p(o) = 3*o**2 - 8*o - 8. Let v(t) = 8*j(t) + 5*p(t). Give v(i(u)).
-4*u**4
Let h(f) = -f. Let k(i) = 4*i**2. Calculate h(k(x)).
-4*x**2
Let w(h) = h. Let o(l) = -12125*l. Determine o(w(n)).
-12125*n
Let w(q) = -10*q**2 + 11*q**2 + 0*q**2. Let f(g) = 11*g. Give w(f(b)).
121*b**2
Let y(o) = 280*o**2. Let i(m) = -10*m**2. Determine y(i(d)).
28000*d**4
Let u(v) = -489*v. Let i(l) = -l**2. Give u(i(p)).
489*p**2
Let c(s) = -6*s. Let y(v) = 27 + 2*v**2 - 27. Give c(y(r)).
-12*r**2
Let x(f) = -2*f + f**2 + 2*f. Let i(m) = 5*m**2 + 3*m**2 + 2*m**2 - 11*m**2. Give x(i(k)).
k**4
Let m(p) = p**2. Let a(n) be the third derivative of -13*n**5/60 - 7*n**2. Calculate a(m(y)).
-13*y**4
Let z(g) = 5*g. Let m(n) = 4*n - 15*n + 3*n. Calculate m(z(s)).
-40*s
Let r(m) = -4*m. Let z(i) = -204*i. Calculate z(r(f)).
816*f
Let p(z) = 1347*z. Let j(h) = -h**2. Give j(p(y)).
-1814409*y**2
Let c(h) = -8*h. Let w(t) = -6*t. Calculate w(c(p)).
48*p
Let t(d) be the third derivative of -d**4/8 - 5*d**2. Let r(s) = s. Calculate t(r(z)).
-3*z
Let d(z) be the third derivative of 8*z**2 + 0*z**3 + 0*z**4 - 1/12*z**5 + 0 + 0*z. Let j(m) = -m**2. What is d(j(a))?
-5*a**4
Let t(n) = 2*n**2. Suppose -5*l = 2*m - 7, 4*m + 6 = l - 13. Let j(a) = -3*a - l*a + 3*a + 5*a. Determine t(j(b)).
8*b**2
Let o(v) = -24*v**2 + 3*v. Let i(z) = 6*z. Give i(o(q)).
-144*q**2 + 18*q
Let s(d) = d**2. Let a(t) = 30*t**2 + 33*t - 33*t. Give s(a(f)).
900*f**4
Let m(x) = -x**2. Let p(z) = 4*z - 3. What is m(p(s))?
-16*s**2 + 24*s - 9
Let j(y) = -15*y + 2*y - 20 + 20. Let c(r) = r**2. Give c(j(t)).
169*t**2
Let f(s) = -2*s + s + 3*s. Let z(i) = 2*i. What is f(z(r))?
4*r
Let y(a) = 3*a**2. Let s(b) = -35*b**2 + 20*b**2 + 21*b**2. Determine y(s(p)).
108*p**4
Let w(r) = -4*r. Let f(l) = -l**3 + 5*l**2 - 2*l + 3. Let g be f(5). Let b be ((-4)/g)/(6/21). Let c(a) = b*a**2 + 4*a**2 - 7*a**2. Determine w(c(m)).
4*m**2
Suppose 2*c - w - 2*w + 12 = 0, 5*c = w - 4. Let d(h) = -7*h**2 + 2*h**2 - h**2 + c*h**2. Let i(t) = -t**2. What is d(i(r))?
-6*r**4
Let a = -32 + 36. Let c(w