 12. Let a(f) = 12*q(f) + y(f). Let h(d) be the first derivative of d**2 - 20. Determine h(a(c)).
-4*c
Let k(q) = 1186*q**2. Let y(i) = -i**2. Determine k(y(g)).
1186*g**4
Let j(b) = -9*b**2. Let l(q) = -3*q + 7*q - 3*q - 3*q. Determine l(j(a)).
18*a**2
Let b(o) = 2*o - 103. Let f(g) = -144*g**2. Calculate f(b(i)).
-576*i**2 + 59328*i - 1527696
Let g(x) = 2*x**2. Let i(y) = -3*y**2. Let t(f) = -10*f**2. Suppose 1 = -3*s + 7. Let n(u) = s*t(u) - 7*i(u). Give n(g(d)).
4*d**4
Let c(a) = -a. Let n(x) = 16*x**2 + 5*x + 2. Give c(n(b)).
-16*b**2 - 5*b - 2
Let h(y) = -y**2 + y - 1. Let v(x) = 8*x**2 - 6*x + 6. Let k(o) = 6*h(o) + v(o). Let g(d) = -2*d. Let j(l) = -45*l. Let r(z) = 42*g(z) - 2*j(z). Give r(k(m)).
12*m**2
Let u(t) be the second derivative of -7*t**4/12 + 11*t. Let p(h) = -2*h. Calculate u(p(y)).
-28*y**2
Let r(j) be the first derivative of -j**6/180 - j**3/3 + 1. Let k(l) be the third derivative of r(l). Let q(f) = 2*f + f + f. Give q(k(b)).
-8*b**2
Let i(s) = 2*s**2. Let g(x) be the first derivative of 10*x**3/3 - 8. What is g(i(p))?
40*p**4
Let t(z) = -2*z - z + 0*z. Let w(q) be the third derivative of -q**5/120 + q**3/2 - 2*q**2. Let f(a) be the first derivative of w(a). Determine t(f(k)).
3*k
Let v(o) = o. Let q(j) be the second derivative of 0 + 1/6*j**4 + 0*j**3 + 0*j**2 + 2*j. Determine q(v(p)).
2*p**2
Let c(j) = -2*j. Let d(g) be the third derivative of g**4/24 - 4*g**2. What is d(c(h))?
-2*h
Let t(j) = -1406*j**2. Let u(x) = -x**2. What is t(u(w))?
-1406*w**4
Let k(n) = 191*n**2. Let i(m) = -3*m. Calculate i(k(p)).
-573*p**2
Suppose -4 + 0 = -2*p. Suppose -3*f + p = -4. Let g(s) = -3*s**f - 2*s**2 + 6*s**2. Let j(y) = -3*y**2. Calculate j(g(o)).
-3*o**4
Let b(y) = 8*y - 8*y + y. Let i(s) = -14*s. Calculate b(i(r)).
-14*r
Let d(t) = 186*t + 1. Let k(q) = 68*q**2. Give d(k(y)).
12648*y**2 + 1
Let x(p) = -p + 1. Let n(w) = -4*w + 2. Let z(o) = -n(o) + 2*x(o). Let t(k) = -12*k. What is z(t(r))?
-24*r
Let x(p) = 2*p. Let j(o) be the second derivative of 3*o**4/4 + o. Calculate j(x(r)).
36*r**2
Suppose f = -2*f + 60. Let o(a) = -a**2 + 20 - f. Let v(h) = 2*h**2 - 6. Let d(i) = i**2 - 5. Let t(q) = 6*d(q) - 5*v(q). Determine t(o(r)).
-4*r**4
Let w(y) = 12*y. Let n(s) be the third derivative of s**5/10 - 21*s**2. Determine w(n(q)).
72*q**2
Let b(z) be the second derivative of z**3/3 - z. Let l(t) be the first derivative of -3*t**2/2 - 59. Give l(b(x)).
-6*x
Let n(j) = j**2. Suppose 8*h - 5 = 19. Let g(c) be the third derivative of 0 + 0*c + 3*c**2 + 0*c**h + 1/24*c**4. Calculate g(n(v)).
v**2
Let j(r) = -3*r**2. Let u(a) = 5*a**2 + 2*a**2 - 6*a**2. What is j(u(f))?
-3*f**4
Let p(s) = -s. Suppose -4*u + 38 = -3*l, 4*l - 3*u + 25 = 2*l. Let w(a) = a**2 + 7. Let q(t) = 1. Let y(k) = l*q(k) + 2*w(k). Calculate y(p(f)).
2*f**2
Let l = 8 + -5. Let v(x) = 3 + 2*x - l. Let d(q) be the first derivative of 2*q**3/3 + 1. What is d(v(c))?
8*c**2
Let y(g) = 2*g**2 + 6*g - 9*g + 3*g. Let k(s) = 105*s**2. Determine k(y(n)).
420*n**4
Let k(i) = 3*i**2. Let v be 3/(9/2)*3. Let c(g) = 5*g**2 + g**v - g**2 - 2*g**2. What is k(c(r))?
27*r**4
Let q(v) = 4*v. Let p(g) = 22*g. What is q(p(r))?
88*r
Let v(z) = -z. Let w(d) = 1214*d**2. Give w(v(f)).
1214*f**2
Let f(p) = 1. Let w(j) = -4*j**2 - 24. Let v(z) = 24*f(z) + w(z). Let m(q) = 3*q**2 + 2. Let l(k) = 4*k**2 + 3. Let u(t) = 2*l(t) - 3*m(t). Determine v(u(h)).
-4*h**4
Let f(z) = -2*z. Let o(s) = 2*s**3 + 15*s**2 + 6*s - 5. Let b be o(-7). Let v(t) be the second derivative of 0 + 0*t**b + t - 2/3*t**3. Calculate v(f(w)).
8*w
Let l(s) = -3*s. Let f(q) = -8*q + 44. What is f(l(x))?
24*x + 44
Let b(h) = -339*h**2. Let o(g) = 58*g. Give o(b(v)).
-19662*v**2
Let h(p) = 23*p. Let t(z) = -2*z**2 + 113*z - 113*z. Determine h(t(f)).
-46*f**2
Let f(h) = -4*h - 5. Let u(g) = g + 3 + 1 + 2*g. Let x(p) = -4*f(p) - 5*u(p). Let l(j) = 3*j**2 - j**2 - 4*j**2. Calculate l(x(w)).
-2*w**2
Let k(r) = -5*r**2 + 4*r**2 + 4*r**2. Let s(u) = -1. Let l(d) = 3*d + 2. Let h(y) = l(y) + 2*s(y). What is h(k(i))?
9*i**2
Let k(n) = -3*n**2. Let o(z) = -360*z. Let t(y) = -9*y. Let r(d) = 2*o(d) - 81*t(d). Give k(r(s)).
-243*s**2
Let h(y) = 4*y**2. Let u(k) be the third derivative of 0*k + 1/6*k**4 + 0*k**3 + 0 + 10*k**2. What is h(u(p))?
64*p**2
Let f(l) be the first derivative of -2*l**3/3 + 2. Let v(a) be the third derivative of a**4/12 + 5*a**2. Calculate f(v(r)).
-8*r**2
Let t(n) = 8*n. Let r(u) = -38*u**2. Calculate r(t(q)).
-2432*q**2
Let d(y) = -y. Let j(n) be the first derivative of -6 - 3 - 4*n**2 + 2. What is d(j(u))?
8*u
Let l(g) = 3*g**2. Suppose -16 = -6*u + 2*u. Let a(p) = p**2 - u*p**2 + p**2 - p**2. What is l(a(k))?
27*k**4
Let i(n) be the second derivative of -17*n**4/12 + 15*n. Let q(c) = 2*c. What is q(i(g))?
-34*g**2
Let z(g) = 22*g**2 - 21*g**2 - 9*g**2. Let d(o) = 8*o**2. What is d(z(h))?
512*h**4
Let u(t) = t. Let q(r) = -144*r. What is u(q(f))?
-144*f
Let f(v) = -16*v**2 - 73. Let g(z) = 2*z. Calculate g(f(b)).
-32*b**2 - 146
Let t(x) = -3*x**2. Let v(o) = -8*o**2 + 5*o. Give t(v(b)).
-192*b**4 + 240*b**3 - 75*b**2
Let s(d) = 15*d**2 + 13*d. Let i(o) = -7*o**2 - 6*o. Let h(k) = 13*i(k) + 6*s(k). Let l(m) = m - 2. Calculate l(h(p)).
-p**2 - 2
Let f(t) = -t. Let r(x) = -9*x. Suppose u = -3*p - 17, 2*u + 3 + 7 = 0. Let s(i) = i. Let o(j) = p*r(j) - 42*s(j). What is f(o(d))?
6*d
Let c(s) = 3*s + 3. Let k(g) = -3 - 11*g + 3 + 13*g. Give c(k(m)).
6*m + 3
Let p(q) = -2*q**2 + 4*q**2 - 3*q**2. Let k be (-6)/(0 + 2) + 5. Let n(z) = 0*z**k - z**2 + 3*z**2 + z**2. What is n(p(d))?
3*d**4
Let d(y) = 2*y - 2. Let a(r) = r**2. Determine d(a(w)).
2*w**2 - 2
Let x(l) = -250*l**2 - 2*l. Let r(p) = -6*p. What is r(x(n))?
1500*n**2 + 12*n
Let g(n) be the third derivative of 0*n**4 + 0 + 0*n**3 + 1/30*n**5 + 0*n - 2*n**2. Let j(v) be the second derivative of 2*v**3/3 - v. Calculate j(g(d)).
8*d**2
Let y(p) = -31*p**2. Let m(j) = 867*j**2. Let d(x) = 3*m(x) + 85*y(x). Let v(k) = -k. Give d(v(i)).
-34*i**2
Let a(j) = 3*j. Let x = -20 + 24. Let g(h) = -h - 5*h + x*h. What is a(g(o))?
-6*o
Let a(b) be the third derivative of -1/30*b**5 + 0*b**4 + 0*b**3 + 0*b + b**2 + 0. Let f(i) = -2*i. What is f(a(s))?
4*s**2
Let c(d) = 2*d**2. Let n(o) = 2*o + 0*o - 4*o + 4*o. Determine c(n(x)).
8*x**2
Let z(j) be the third derivative of -2*j**5/15 - 6*j**2. Let m(n) = 2*n**2. Calculate z(m(w)).
-32*w**4
Let a(c) = -146*c**2 - 2. Let m(h) = h. Determine m(a(s)).
-146*s**2 - 2
Suppose 3 = 3*p - 2*p + 2*y, -4*p + 12 = -4*y. Let x(o) = o + 2*o - p*o + 3*o**2. Let v(b) = -6*b. Determine v(x(w)).
-18*w**2
Let y(p) = 7788*p**2. Let a(m) = 2*m**2. Determine a(y(u)).
121305888*u**4
Let r(i) be the second derivative of -7*i**4/12 - 12*i. Let y(o) = -o**2. Give r(y(s)).
-7*s**4
Let x(l) = l. Let n = -2 - -4. Let k(s) = -6*s**2 + 6*s**n - 5*s**2. Let f(h) = -h**2. Let b(a) = 4*f(a) - k(a). What is x(b(z))?
z**2
Let o(t) = -7*t + 0*t + 8*t. Let n(g) = g. Determine n(o(z)).
z
Let f(o) be the first derivative of o**5/30 - o**2 + 3. Let j(b) be the second derivative of f(b). Let w(u) = -2*u + u - 2*u. What is j(w(q))?
18*q**2
Let n(i) = 5*i + 2. Let l(p) = 2*p**2. Determine l(n(b)).
50*b**2 + 40*b + 8
Let b(w) = w**2. Let j(g) = 25*g - 5. What is j(b(v))?
25*v**2 - 5
Let q(t) = -6*t**2. Let b(j) = -510*j**2. Determine q(b(z)).
-1560600*z**4
Let q(m) = -m. Let h(b) = -177*b - 1. What is h(q(x))?
177*x - 1
Suppose 7 = 3*g - 5. Let j(c) = -g*c - 3*c + 5*c. Let v(f) = f**2 + 4*f - 4*f. Calculate j(v(l)).
-2*l**2
Let l = 5 + -3. Let z(r) = 6*r**2 - 2*r**l - 3*r**2. Let f(i) = -2*i**2 + 3*i**2 - i**2 - i**2. What is f(z(k))?
-k**4
Let w(q) = -5*q - 6. Let x(f) = 5*f + 7. Let m(h) = -7*w(h) - 6*x(h). Let g(i) = -8*i**2. Calculate g(m(k)).
-200*k**2
Let h(z) = 12*z**2. Let v(q) = -2*q - 18. What is v(h(p))?
-24*p**2 - 18
Let a(t) = -3*t - 50. Let v(p) = 2*p**2. Determine v(a(r)).
18*r**2 + 600*r + 5000
Suppose 0 = 3*n - 2*n - 5. Suppose 4 + 6 = n*s. Let k(p) = p**2 - s*p + p**2 + 2*p. Let x(d) = -3*d. Give x(k(r)).
-6*r**2
Let l(f) be the second derivative of 5*f**3/6 + 5*f. Let a(w) = -2*w**2. Calculate l(a(o)).
-10*o**2
Let r(q) = 2*q**2. Let d(f) = -5*f**2 - 2*f**2 + 4*f**2. Give r(d(b)).
18*b**4
Let m(u) = -14*u**2. Let y(b) be the second derivative of b**4/12 + 