second derivative of r(q). Calculate n(m(v)).
8*v**2
Let c(z) = -z**2 - 150*z. Let r(u) = u**2. Give c(r(l)).
-l**4 - 150*l**2
Let f(u) = 198*u**2. Let q(w) = -w**2. Give f(q(c)).
198*c**4
Let r(t) = t. Let g(v) = -41*v - 41*v + 109*v. Give g(r(d)).
27*d
Let o(q) = -8*q. Let d(a) = 15*a. Calculate d(o(z)).
-120*z
Let g(u) = -28*u. Let l(r) be the second derivative of r**3/6 - 35*r. Calculate l(g(p)).
-28*p
Let l(v) = 8*v**2. Let z(g) = 1472*g + 2. What is z(l(m))?
11776*m**2 + 2
Suppose -19*o = -15*o. Let v(x) be the first derivative of o*x**2 + 1/3*x**3 + 0*x + 2. Let g(f) = 2*f**2. Calculate v(g(c)).
4*c**4
Let z(h) = h**2 + 210*h. Let s(c) = 3*c. Determine s(z(l)).
3*l**2 + 630*l
Let x(s) = -2*s - 6. Let h(j) = -j + 1. Let i(y) = 6*h(y) + 2*x(y). Let c(p) = 11*p + 7. Let m(n) = -6*c(n) - 7*i(n). Let r(v) = -v**2. What is r(m(k))?
-16*k**2
Let y(z) = -z**2. Let v(i) = -1322*i**2. Calculate v(y(c)).
-1322*c**4
Let a(d) be the second derivative of -d**5/60 + d**3/6 - 3*d. Let x(p) be the second derivative of a(p). Let g(c) = 4*c + 2*c**2 - 4*c. Give x(g(h)).
-4*h**2
Let d(m) = 8*m. Suppose -10 = -5*x + 5. Let a(u) = 6*u + 2*u - x*u - 3*u. Calculate d(a(h)).
16*h
Let c(f) = f**2. Let s(l) = -11*l - 3. Let b(t) = -252*t - 70. Let z(a) = 3*b(a) - 70*s(a). What is c(z(o))?
196*o**2
Let c(j) = 3*j. Let z(x) = -22*x**2. What is z(c(i))?
-198*i**2
Let f(i) = -2*i - 2. Let t(w) = -w**2 - 3*w - 3. Let z(j) = 3*f(j) - 2*t(j). Let m(b) be the second derivative of b**3/2 + b. Determine z(m(h)).
18*h**2
Let y(z) = 104*z**2. Let b(p) = p**2. Determine b(y(o)).
10816*o**4
Let c(o) = -2*o**2. Let i be (0 - (3 + -6)) + -3. Let s(g) = -6*g + i*g + 8*g. Determine s(c(k)).
-4*k**2
Let r(k) = 3*k. Let p be (-20)/(-7) - 2/(-14). Let d(s) be the second derivative of -s - 1/3*s**p + 0 + 0*s**2. What is d(r(f))?
-6*f
Let w(y) be the third derivative of y**5/60 + 11*y**2. Let a(i) = -5*i**2. Give w(a(m)).
25*m**4
Let b(d) = 5*d. Let c(n) = -14*n. Suppose 2*w + z = -18, 3*w - 5*z + 42 = w. Let o(s) = w*b(s) - 4*c(s). Let x(p) = -6*p**2. What is x(o(m))?
-6*m**2
Let k(t) = 32*t**2. Let z(b) = -2*b**2. What is k(z(x))?
128*x**4
Let z(m) = -m - m + m - 4*m. Let h(g) = -3*g**2. Give z(h(s)).
15*s**2
Let a(v) = v**2 + 32. Let h(i) = -2*i. Give h(a(n)).
-2*n**2 - 64
Let o(t) = 5*t**2. Let l(j) = 2*j**2 - 5*j**2 + j - j. What is o(l(z))?
45*z**4
Let w(o) = 4*o**2 - 461 + 461 - 3*o**2. Let l(b) = 3*b**2. Determine w(l(r)).
9*r**4
Let f(m) = -11*m + 2. Let o(i) = 451*i**2. What is o(f(p))?
54571*p**2 - 19844*p + 1804
Let x(m) be the first derivative of -2*m**3/3 + 5. Let j(n) = -3*n. What is j(x(c))?
6*c**2
Let v = 2 + -2. Suppose 0 = 4*f - v*f - 12. Let m(n) = -f*n + 3*n + n**2. Let u(w) = w**2. Determine m(u(j)).
j**4
Let o(d) = 5*d. Let h(r) = -6*r. Let y(s) = 6*h(s) + 7*o(s). Let t(c) = 134*c - 67*c - 62*c. Determine y(t(q)).
-5*q
Suppose 3*x = -2*l - 10, l = -6*x + x - 5. Let t(p) = x*p + 0*p - 3*p. Let b(i) = 2*i + 11. Let q(d) = -d - 6. Let z(a) = 6*b(a) + 11*q(a). Give t(z(o)).
-3*o
Let v(o) = 8*o**2. Let d(p) = 5*p - 4. Let w(f) = 11*f - 9. Let x(z) = 9*d(z) - 4*w(z). Calculate x(v(g)).
8*g**2
Let r(z) be the first derivative of -z**2 - 1. Let h(g) = -2*g**2 + 2. Let l(t) = -2*t**2 + 3. Let w(c) = 3*h(c) - 2*l(c). Calculate r(w(n)).
4*n**2
Let r(v) = 2*v - 1. Let t(o) = -7*o + 4. Let l(m) = -20*r(m) - 5*t(m). Let n(h) = 7*h**2. Calculate n(l(c)).
175*c**2
Suppose -l + 11 = 6. Let y(k) = -5*k + 4*k**2 + 0*k**2 + l*k. Let a(r) = r**2. Calculate a(y(g)).
16*g**4
Let m(v) = 14*v**2. Let t(g) = 7*g - 7*g + 2*g**2 + 0*g. What is t(m(j))?
392*j**4
Let y(c) = 16*c. Let f(p) = p. Let l(v) = -12*v. Let g(b) = -10*f(b) - l(b). Calculate y(g(m)).
32*m
Let u(r) = 2*r + 7*r - 5*r + 0*r. Let m(s) = -2*s**2. Calculate u(m(y)).
-8*y**2
Let k(b) = 5*b**2. Let g(o) = 51*o**2. Give g(k(d)).
1275*d**4
Let o(r) = 6*r. Let m(v) = -4*v - v + 7*v. Give o(m(l)).
12*l
Let t(z) = 16*z - 35*z + 17*z. Let m(o) = 0*o**2 - 2*o**2 + o**2. Give m(t(u)).
-4*u**2
Let n = 3 + 2. Let u(z) = -3*z - 4*z + n*z + 4*z. Let q(d) = -d. What is u(q(y))?
-2*y
Let y(u) be the third derivative of -1/12*u**4 - 3*u**2 + 0 + 0*u + 0*u**3. Let w(t) = t. Calculate y(w(l)).
-2*l
Let q(t) be the second derivative of t**4 - 23*t. Let b(j) = -j. Give q(b(x)).
12*x**2
Let t(b) = -b**2 + 102 - 102. Let j(r) = 5*r**2. Determine j(t(a)).
5*a**4
Let f(w) be the first derivative of 3*w**2/2 + 1. Let d(s) = 3*s - 6. Let t(p) = 2. Let o(h) = d(h) + 3*t(h). Give f(o(y)).
9*y
Let u(k) = -32*k**2. Let j(d) = 12*d. Calculate u(j(v)).
-4608*v**2
Let s(q) = 7*q - q - 9*q. Let o = -4 - -7. Let w(f) = -f + 2*f - o*f. Give w(s(v)).
6*v
Let r(s) = -24*s**2. Let d(p) = -4*p. What is d(r(a))?
96*a**2
Let u(p) be the second derivative of -p**3/2 - 3*p + 13. Let o(j) = -j**2. Determine o(u(a)).
-9*a**2
Suppose 2*x = p + p + 2, -4*x + 13 = -p. Let g(a) = 0*a + 0*a - p*a**2. Let f(k) = -2*k**2. What is f(g(q))?
-18*q**4
Suppose x = -x - 5*i, -3*x + 46 = -4*i. Let u be x/6 - 2/(-6). Let c(m) = -u*m**2 + m**2 - 4*m + 4*m. Let o(w) = 2*w. What is o(c(p))?
-2*p**2
Let u(f) = f**2 + 0*f**2 - 3*f**2 - f**2. Let h(s) = -s**2. Calculate u(h(q)).
-3*q**4
Let b(c) = -7*c**2. Suppose -5*u + 4*w = -21, -w - 1 = -5*u - 2*w. Let y(j) be the first derivative of 21*j - j**2 - u - 21*j. Give b(y(k)).
-28*k**2
Let r be 5/2*(-24)/(-30). Let o(q) = -q**2 - q**r + 6 - 6. Let y(i) = 3*i**2. Determine y(o(d)).
12*d**4
Let a(f) = -14*f + 0 + 0. Let i(l) be the second derivative of -l**4/6 - 85*l. Determine a(i(s)).
28*s**2
Let b(m) = 510*m - 3. Let f(k) = -k**2. Give b(f(y)).
-510*y**2 - 3
Let y(h) = 27*h**2. Let b(w) = -4*w**2. Give y(b(g)).
432*g**4
Let t(h) = -7*h - 7*h - 7*h + 20*h. Let q(b) = 24*b**2. What is t(q(l))?
-24*l**2
Let i(h) = h**2 + 36*h. Let v(c) = 2*c**2. Give v(i(d)).
2*d**4 + 144*d**3 + 2592*d**2
Let z(d) be the third derivative of -d**4/12 - 5*d**2. Let n(s) = 4*s - 5*s + 0*s. What is z(n(q))?
2*q
Let h be 2 + 1 + 0/(-1). Let n(d) = -4*d - 8 + h*d + 8. Let r(b) = -b**2 + 4*b - 4. Let m(j) = 2*j**2 - 9*j + 9. Let v(y) = 4*m(y) + 9*r(y). Calculate n(v(p)).
p**2
Let u(k) = 2*k. Let q(c) = 0 - 2*c + 2 - 1. Let r(s) = 1. Let v(d) = -2*q(d) + 2*r(d). What is v(u(l))?
8*l
Let l(r) = -13*r**2. Let s(h) be the first derivative of h**2/2 + 11. Calculate l(s(k)).
-13*k**2
Let y(z) = 35*z**2. Let m(s) = 9*s. What is y(m(j))?
2835*j**2
Let j(p) = p. Let l(t) = 39*t - 36 + 24 + 12. Determine l(j(d)).
39*d
Let s(n) = -2*n**2. Let z(y) be the second derivative of -y**3/6 + 2*y**2 - 9*y. Determine s(z(x)).
-2*x**2 + 16*x - 32
Let s(m) be the second derivative of -m**3/6 - 6*m. Let u(k) = -5*k**2. What is s(u(x))?
5*x**2
Let b(p) be the third derivative of p**4/4 - 11*p**2. Let w(z) = -3*z**2. What is b(w(r))?
-18*r**2
Let f(o) = -o. Let a(v) = -253*v + 55. Let y(i) = -14*i + 3. Let b(q) = 3*a(q) - 55*y(q). Determine b(f(r)).
-11*r
Let a(k) = -11*k. Let m(c) = 7*c**2 - 5*c - 5. Let p(o) = -10*o**2 + 7*o + 7. Let y(v) = 7*m(v) + 5*p(v). What is a(y(w))?
11*w**2
Let c(u) = -16*u**2. Let g(k) = 5*k. What is c(g(m))?
-400*m**2
Let p(q) = -7*q. Let y = 14 - 8. Let u(s) = -s. Let f(v) = y*u(v) - p(v). Let x(t) = 4*t. Calculate x(f(n)).
4*n
Let x(m) be the second derivative of m**6/720 - m**4/4 - 2*m. Let g(i) be the third derivative of x(i). Let u(v) = -v. Calculate g(u(c)).
-c
Let h(m) = 2345*m. Let t(b) = -b**2. Determine t(h(n)).
-5499025*n**2
Let u be (-75)/10 + 6/4. Let l(i) = -18*i**2 - 6*i - 6. Let h(s) = -53*s**2 - 17*s - 17. Let m(y) = u*h(y) + 17*l(y). Let b(t) = t. Determine m(b(a)).
12*a**2
Let q(s) = 295*s. Let h(x) = -29*x. What is q(h(z))?
-8555*z
Let d(a) = 2*a**2 + 36*a. Let c(w) = 3*w. Give c(d(k)).
6*k**2 + 108*k
Let a(m) = -2*m - 31. Let j(u) = -48*u. Give j(a(r)).
96*r + 1488
Let g(s) be the second derivative of s**4/4 - 6*s. Let n(o) = o**2. What is n(g(u))?
9*u**4
Let b(l) = 4*l - 4*l - l. Let a(z) = 3*z + 9*z**2 + 5*z - 2*z - 6. Let w(d) = 19*d**2 + 13*d - 13. Let t(v) = 13*a(v) - 6*w(v). Calculate t(b(y)).
3*y**2
Let z(v) be the first derivative of -6 + 1/2*v**2 + 0*v. Let u(h) = -6*h**2. What is u(z(g))?
-6*g**2
Let f(s) be the second derivative of s + 1/6*s**3 + 0*s**2 + 0. Let z(l) = 2*l**2 - 1840 + 1840 - l**2 - 4*l**2. Calculate z(f(b)).
-3*