z. What is f(u(q))?
-3*q**2
Let v(k) = -4*k**2. Let w(n) be the third derivative of n**8/20160 - n**5/60 + 2*n**2. Let s(m) be the third derivative of w(m). Determine s(v(b)).
16*b**4
Let u(p) be the second derivative of p**4/6 + 9*p. Let k(n) = -23*n. Give k(u(x)).
-46*x**2
Let l(t) = -35*t**2 + 15*t + 15. Let n(y) = -9*y**2 + 4*y + 4. Let r(x) = -4*l(x) + 15*n(x). Let a(c) = -c. Calculate r(a(b)).
5*b**2
Let t(z) = 2*z. Let l(j) = 2*j + 3 - 3 + 38*j. Determine l(t(a)).
80*a
Let q(a) = -4*a**2. Let s(c) = -9*c. What is q(s(u))?
-324*u**2
Let s(d) = 283 + 2*d - 283. Let a(q) = -8*q. What is s(a(x))?
-16*x
Let x(v) = 3*v**2 - 3*v. Let m(h) = -4*h**2 + 2*h. Let g(p) = 3*m(p) + 2*x(p). Let f(q) = -2*q. Determine f(g(s)).
12*s**2
Let z(n) be the third derivative of n**5/60 + 30*n**2. Let m(h) be the second derivative of -5*h**4/12 - 3*h. Determine m(z(q)).
-5*q**4
Let y(l) = -l. Let n(k) = -15*k. Let j(a) = -n(a) + 18*y(a). Let r(c) = -c**2. Determine j(r(p)).
3*p**2
Let b(g) = 2*g**2 + 80*g. Let d(l) = l. Give b(d(m)).
2*m**2 + 80*m
Let w(u) = 128*u + 135*u - 264*u. Let g(h) = -h - 53. Calculate g(w(m)).
m - 53
Let y(l) = -227*l + 2. Let u(o) = -14*o**2. Calculate u(y(s)).
-721406*s**2 + 12712*s - 56
Let h(c) = -13*c. Let s(a) = -2*a - 4. Let u(n) = 5*n + 9. Let r(f) = -9*s(f) - 4*u(f). Determine h(r(i)).
26*i
Let i(o) = -6*o. Let y(j) = 276*j**2. Calculate i(y(a)).
-1656*a**2
Let i(b) = 3*b. Let n = -2 + 7. Suppose 0*z - n*a + 5 = -2*z, -2*a = z - 2. Let u(s) = z + 0 - 4*s + 3*s. Calculate u(i(j)).
-3*j
Let s(z) = z. Let n(m) = -2*m - 3. Let l(w) = -w - 1. Let p(i) = 3*i + 5. Let r be p(-2). Let c(f) = r*n(f) + 3*l(f). Determine c(s(q)).
-q
Let v(i) be the second derivative of 5*i**4/6 - 5*i. Let t(a) = a**2. Calculate v(t(h)).
10*h**4
Let k(d) = 61*d - 61*d - 10*d**2. Let t(f) = -3*f**2 + f - f + f**2. Calculate k(t(v)).
-40*v**4
Let b(g) be the third derivative of g**4/24 + 6*g**2. Let j(m) = 8*m. Determine j(b(k)).
8*k
Let t(v) be the first derivative of v**2/2 - 12. Let j(n) = 9*n**2. Determine t(j(m)).
9*m**2
Let y(z) be the first derivative of z**5/60 + z**3/3 - 2. Let q(g) be the third derivative of y(g). Let s(p) = -p**2. Determine s(q(r)).
-4*r**2
Let u(n) = 2*n**2. Let g(l) = 30*l - 30*l + 3*l**2. What is u(g(t))?
18*t**4
Let d(t) = 2*t - 6*t + 3*t + 4*t. Let j(r) = 4*r**2 + 3*r + 3. Let w(p) = -12*p**2 - 8*p - 8. Let z(c) = 8*j(c) + 3*w(c). What is d(z(b))?
-12*b**2
Let a(s) = -2*s**2. Let l(v) be the third derivative of 3*v**4/8 + v**2. Give l(a(r)).
-18*r**2
Let x(n) = -2*n**2. Let o(k) = 4327*k + 4. Give o(x(y)).
-8654*y**2 + 4
Let s(z) = z + 125. Let k(r) = -8*r**2. Determine s(k(h)).
-8*h**2 + 125
Suppose -v + 0*h + 4*h = -10, 3*v - 12 = 3*h. Suppose 0 = -v*b - 3*b + 20. Let a(o) = b - 4 - 2*o. Let p(w) = w. Give a(p(l)).
-2*l
Let i(f) = -8*f**2. Let r(h) = -137*h**2 - 2*h. Give r(i(p)).
-8768*p**4 + 16*p**2
Let r(a) = -4*a. Let k(g) = 14*g - 9*g - 8*g. What is k(r(l))?
12*l
Let i = 4 + -2. Let n(u) = -i*u**2 + 2*u**2 + u**2. Let y(k) = -6*k**2 + 3*k**2 - k**2. Determine y(n(a)).
-4*a**4
Let j(k) = 6*k**2. Let g(d) = 5 - d - 5. Calculate j(g(v)).
6*v**2
Let t(w) = 2*w**2 - w**2 + 2*w**2. Suppose 4*x - 2*y - 28 = y, -5*y - 36 = -4*x. Let m(r) = 0*r + 2*r - x*r. What is m(t(f))?
-6*f**2
Let k(n) = -2*n**2. Let b(j) = -2*j - 6. Let l be b(-4). Let f(i) be the third derivative of 0*i**3 - i**l - 1/8*i**4 + 0 + 0*i. Determine k(f(g)).
-18*g**2
Let t(y) be the second derivative of y**4/12 + y. Let h(p) = -104 - p + 104. Give h(t(d)).
-d**2
Let r(d) = 2*d**2. Let w(x) = -x**2 - 16 + 16 + 2*x**2. Determine r(w(s)).
2*s**4
Let n(u) be the third derivative of u**4/24 - 48*u**2. Let x(s) = s**2 + s**2 + 2*s**2. Determine x(n(v)).
4*v**2
Let d = 5 + 5. Let t(p) = -10 + p**2 + d. Let y(i) = 3*i. Determine y(t(f)).
3*f**2
Let u(o) = 2*o**2 - 229*o. Let x(w) = 8*w. Determine x(u(g)).
16*g**2 - 1832*g
Let k(l) = -5*l**2 + 4*l. Let g(z) = -z**2 + z. Let w(f) = -4*g(f) + k(f). Let s(m) = -7*m**2. Calculate s(w(n)).
-7*n**4
Let u(i) = -i**2. Let f(l) = 885*l. Let j(h) = 59*h. Let p(o) = -4*f(o) + 59*j(o). Calculate u(p(k)).
-3481*k**2
Let b(s) = 2*s**2 - 55. Let i(v) = -2*v. Calculate b(i(f)).
8*f**2 - 55
Let u(t) = 2*t**2. Let c(m) = 3*m**2 - 2. Let o(a) = -80*a**2 + 55. Let g(y) = 55*c(y) + 2*o(y). Determine g(u(f)).
20*f**4
Suppose -4*z - 1 = -2*u - 9, -3*u + 4 = 2*z. Let j(h) = -h + u*h - h. Let b(i) = i. What is j(b(v))?
-2*v
Let y(d) = 5*d**2. Let x(u) = -41*u**2 + 2. Calculate y(x(i)).
8405*i**4 - 820*i**2 + 20
Let n(d) be the third derivative of -d**4/4 - 7*d**3/6 + 10*d**2. Let g(b) = -b. What is g(n(a))?
6*a + 7
Let i(x) = 4*x. Let l(d) = -d. Let q(u) = -i(u) - 8*l(u). Let b(z) = 5*z. What is q(b(o))?
20*o
Let j(k) = -2*k**2. Let p(a) = 157*a**2. Determine p(j(d)).
628*d**4
Let r = -2 + 4. Let o(s) = 3*s**r - 4*s**2 + 0*s**2. Let b(w) = -4*w. Give o(b(p)).
-16*p**2
Let z(k) = 2*k**2. Let l(o) = -585*o. Calculate z(l(n)).
684450*n**2
Let n(w) = -50*w**2. Let z(a) = 8*a**2. Calculate z(n(b)).
20000*b**4
Let q(l) = -141*l**2. Let m(k) = 5*k. What is q(m(w))?
-3525*w**2
Let s(l) = 6*l**2 - 2*l. Let k(q) be the second derivative of -q**3/6 - 51*q. Give k(s(c)).
-6*c**2 + 2*c
Let a(g) = -g. Let o(q) be the first derivative of 3*q**2 + 4*q - 9. What is a(o(p))?
-6*p - 4
Let d(i) = -6 + 3*i + 6. Let r(s) be the third derivative of s**5/30 - 12*s**2. Calculate r(d(g)).
18*g**2
Let h(q) = -2*q**2. Let l = -3 - -5. Let a(r) = -2*r - 7*r + l*r + 2*r. Give h(a(y)).
-50*y**2
Let r(v) = -2*v + 66 - 66. Let m(n) = -17*n. What is m(r(a))?
34*a
Let d(m) = -1 + 1 - 4*m**2. Let w(n) = -n. Let r = -7 + 6. Let p(o) = -o. Let x(u) = r*p(u) + 2*w(u). What is x(d(f))?
4*f**2
Let b(l) = -15210*l. Let g(h) = 2*h. Determine b(g(u)).
-30420*u
Let f(r) = 11*r**2. Let z(n) = -n + 2. Let v(b) = 4*b - 7. Let i(w) = 2*v(w) + 7*z(w). Give i(f(p)).
11*p**2
Let j(l) be the third derivative of l**5/12 + 14*l**2. Let h(g) = 2*g**2. Give h(j(d)).
50*d**4
Let j(x) = -181*x**2. Let a(k) = 2*k**2. Calculate j(a(d)).
-724*d**4
Let o(v) = v. Suppose -c = c. Let u(x) = -2*x + 0*x + c*x. Calculate u(o(b)).
-2*b
Let i(h) = -2*h. Let o(z) = 584*z**2. What is i(o(x))?
-1168*x**2
Let g(s) be the first derivative of s**3/3 - 6. Let v(b) = -6*b**2 - 3*b**2 - 3*b**2. Give g(v(i)).
144*i**4
Let s(g) = -10*g**2. Let m(k) be the second derivative of -k**5/30 - 3*k**2 + 2*k. Let q(i) be the first derivative of m(i). Give s(q(t)).
-40*t**4
Suppose 4 = -3*v - 8, 2*s = 2*v + 8. Suppose s = t - 3*t + 4. Let k(f) = 0*f**2 - t*f**2 - f**2. Let n(y) = 2*y**2. Determine k(n(p)).
-12*p**4
Let j(q) be the third derivative of -7*q**5/15 - 12*q**2 + 1. Let l(t) = -t**2. Calculate j(l(u)).
-28*u**4
Let v(z) be the second derivative of -z**3/6 + 8*z. Let y(o) = -12*o. Determine y(v(g)).
12*g
Let k(b) = 2*b**2 - 1766*b - 1. Let n(p) = 2*p**2. What is k(n(u))?
8*u**4 - 3532*u**2 - 1
Let z(x) = -2*x. Let i(g) = 29*g - 26. Calculate i(z(v)).
-58*v - 26
Let i(q) = 2*q**2 + 2*q. Let k be i(-3). Let c(r) = 9 - k*r - 5 - 4. Let y(f) = 2*f. Calculate y(c(n)).
-24*n
Let d(m) = -3*m**2. Let x(w) = -9*w**2. Let r(c) = -11*d(c) + 4*x(c). Let p(n) be the second derivative of n**3/3 - n. Determine p(r(k)).
-6*k**2
Let q(x) = -6*x. Let l(z) = z - 115. What is l(q(n))?
-6*n - 115
Let l(y) be the second derivative of -y**4/6 + 9*y. Let k(g) = -6*g. Calculate k(l(r)).
12*r**2
Let t(h) be the first derivative of h**2 - 2. Let q(o) be the second derivative of 0*o**2 + 1/6*o**3 - o + 0. Give t(q(g)).
2*g
Let q(j) = 6*j**2. Let c(o) = 17*o. Give q(c(b)).
1734*b**2
Let u(r) = 2*r**2 + 2*r - 2*r. Let d(l) = -391*l - 2*l**2 + 391*l. What is u(d(p))?
8*p**4
Suppose 5*z = -5*b + 10, 0 = 2*b - 4*z - 9 - 1. Let u(i) = -i - i + b*i. Let h(m) be the first derivative of m**2/2 + 1. Calculate u(h(w)).
w
Let c(o) = 26*o**2 - 3 - 28*o**2 - 32. Let s(m) = -2*m**2. Give c(s(x)).
-8*x**4 - 35
Let r(z) = 7*z**2. Let j(i) = -7 + 3 - 4*i + 4. Calculate j(r(o)).
-28*o**2
Let i(y) = -4*y**2. Let c(g) = 72*g. Give c(i(b)).
-288*b**2
Let y(c) = -2*c**2 + 11. Let x(i) = 81*i**2. Calculate y(x(o)).
-13122*o**4 + 11
Let x(j) = 4*j**2. Let s(b) = 8*b**2 - 52. Determine s(x(q)).
128*q**4 - 52
Let o(h) = h. Suppose 0 = 2*z + 5*a + 5, 4 = -4*z + 2*a - 6*a.