hat is l(h(p))?
9*p**4
Let c(q) = -q. Let h(n) be the second derivative of -2*n - 1/24*n**4 + 0*n**3 + 0 + 3/2*n**2. Let f(b) be the first derivative of h(b). Determine f(c(k)).
k
Let k(u) be the second derivative of u**4/6 - 5*u. Let t(s) = 3*s + 3*s - 2*s. Determine k(t(q)).
32*q**2
Let w(d) be the third derivative of -d**4/12 - 181*d**2. Let j(q) = -39*q. Let l(r) = -4 + 4 - 11*r. Let f(i) = 5*j(i) - 18*l(i). What is w(f(a))?
-6*a
Let g(b) = 2294*b**2. Let w(s) = 3*s. Calculate w(g(p)).
6882*p**2
Let z(g) = 5*g**2 - 20. Let c(n) = 42*n. What is c(z(y))?
210*y**2 - 840
Let k(s) = 2*s**2 - 3. Let x(d) = 8*d. Determine k(x(q)).
128*q**2 - 3
Let b(z) = -979*z**2. Let h(i) = -i**2. Give b(h(f)).
-979*f**4
Let n(j) = j - 137. Let l(g) = -3*g**2. What is n(l(w))?
-3*w**2 - 137
Let a(q) be the second derivative of -q**4/6 - 23*q. Let p(r) = -17*r**2. Determine p(a(t)).
-68*t**4
Let c(j) = -1574*j. Let g(a) = 3*a**2. Calculate g(c(z)).
7432428*z**2
Let d(a) = 72*a**2. Let t(j) be the first derivative of -j**3/3 - 18. Give t(d(s)).
-5184*s**4
Let y(s) = 2*s**2 - 16*s - 17*s + 33*s. Let h(x) = -29*x. Determine y(h(i)).
1682*i**2
Suppose 0 = -4*t - q + 5*q + 4, q + 4 = 4*t. Let s(r) be the first derivative of 1/2*r**2 + t + 0*r. Let o(m) = -2*m**2. Give o(s(l)).
-2*l**2
Let x(m) = -2090*m**2. Let d(j) = 3*j**2. Calculate d(x(u)).
13104300*u**4
Let i(g) = 4 - 4 + 6*g - 4*g. Let q(o) = -4*o - 7. Let h(l) = -l - 2. Let n(y) = -21*h(y) + 6*q(y). Determine n(i(m)).
-6*m
Let k(h) = 23*h**2. Let s(z) = 20*z. Let y(p) = -7*p. Let d(g) = -6*s(g) - 17*y(g). Determine k(d(b)).
23*b**2
Let y(w) = 0*w + w - 16 + 22. Let i(z) = 2*z - 3 - 3*z - 2. Let v(b) = 6*i(b) + 5*y(b). Let c(h) = h. What is v(c(q))?
-q
Let t(a) = 2*a. Let n(x) be the third derivative of x**6/720 - x**4/8 + 3*x**2. Let r(i) be the second derivative of n(i). Calculate t(r(z)).
2*z
Let h(a) = 375*a**2. Let v(x) = -17*x**2. Let n(z) = 2*h(z) + 45*v(z). Let t(f) = -3*f**2. Determine t(n(m)).
-675*m**4
Let y = 3 - 1. Let k(v) = -v**y + 4*v - v**2 - 4*v. Let w(j) = -6*j + 4. Let q(r) = -5*r + 3. Let m(u) = -4*q(u) + 3*w(u). What is m(k(g))?
-4*g**2
Let z(g) = -g**2 + 5*g. Let t(b) = b**2 - 7*b. Let c(w) = 5*t(w) + 7*z(w). Let s(x) = 11*x. Let f(v) = -5*v. Let o(l) = 9*f(l) + 4*s(l). Calculate o(c(h)).
2*h**2
Let f(s) = -68*s - 11. Let z(k) = -34*k - 6. Let v(p) = -6*f(p) + 11*z(p). Let a(w) = -w. Determine v(a(j)).
-34*j
Let d(b) = 3*b - 2. Let a be d(2). Let l = 15 + -13. Let i(s) = -l*s + a*s - 3*s - 3*s. Let w(r) = r**2. Calculate w(i(u)).
16*u**2
Let j(r) = -5*r. Let y(u) = 6*u. Let g(x) = 5*j(x) + 4*y(x). Let h(v) be the first derivative of -3*v**2/2 - 1. What is g(h(n))?
3*n
Let f(a) = a. Let c(t) = 2*t**2 - 7. Let x(u) = u**2 - 9*u - 3. Let n(p) = -p. Let s(g) = -18*n(g) + 2*x(g). Let l(h) = 6*c(h) - 7*s(h). Determine l(f(d)).
-2*d**2
Let u(j) = -3*j**2. Let n(o) = 5*o**2 + 9. Let r(v) = 2*v**2 + 4. Let x(k) = 4*n(k) - 9*r(k). Calculate u(x(g)).
-12*g**4
Let m(r) = 62*r**2. Let n(y) = -2*y**2. What is n(m(k))?
-7688*k**4
Let x(l) be the second derivative of l**4/3 - 4*l. Let w(i) be the first derivative of i**3/3 + 1. Determine w(x(q)).
16*q**4
Let x(b) = b**2. Suppose 0 = -11*m - 4 + 4. Let r(i) be the first derivative of 1 + m*i**2 + 0*i + 5/3*i**3. What is r(x(g))?
5*g**4
Let d(a) = 11*a**2. Let q(f) = 12*f**2. What is q(d(k))?
1452*k**4
Let m(t) = 20*t. Let n(g) = 21*g + 2. What is n(m(h))?
420*h + 2
Suppose -2*h - 16 = -4*m, 2*h - 4*h - 12 = -2*m. Let l(s) = s + m*s - 7*s. Let j(g) = g. Give l(j(c)).
-4*c
Let r(u) = 2*u. Let m(i) = i + 884. Determine m(r(c)).
2*c + 884
Let y(t) = 2*t**2. Let o(z) = -184*z**2. Determine y(o(g)).
67712*g**4
Let n(t) = 2*t + 4. Let r(w) = -5*w. Calculate n(r(h)).
-10*h + 4
Let l(h) = h**2. Let t(i) be the first derivative of -7*i**3/3 - 6. Give l(t(r)).
49*r**4
Suppose 0 = -2*u, 2*u - 4*u = -x. Let h(a) be the second derivative of 0*a**2 + 1/6*a**4 + x + 4*a + 0*a**3. Let r(s) = 3*s. What is h(r(v))?
18*v**2
Let q(a) = -2*a. Let h(m) = -446*m**2. Calculate q(h(r)).
892*r**2
Let f(o) = -3*o + 5. Let p(y) = -15*y + 24. Let d(g) = -24*f(g) + 5*p(g). Let r(n) = n. What is d(r(t))?
-3*t
Let q(o) = o**2 + o - 1. Let w(u) = 5*u**2 + 7*u - 7. Let x(k) = -14*q(k) + 2*w(k). Let i(m) = -7*m**2. Calculate x(i(p)).
-196*p**4
Let v(t) = -t - 2. Let r(w) = w + 1. Suppose -2*h = 3*h + 140. Let z be h/(-16) + (-1)/(-4). Let j(b) = z*v(b) + 4*r(b). Let o(f) = -2*f. What is j(o(y))?
-4*y
Let n(u) be the first derivative of u**3/3 + 6. Let a(k) = -2*k. Determine n(a(c)).
4*c**2
Let v(p) = -p**2. Let y(f) = 1026*f. Give y(v(b)).
-1026*b**2
Let t(q) = 2*q**2. Let n(y) be the second derivative of y**6/90 + 7*y**4/12 - 6*y. Let d(r) be the third derivative of n(r). Give t(d(i)).
128*i**2
Let c(j) = j**2 + 4*j - 4. Let b(u) = 2*u**2 + 5*u - 5. Let h(r) = -4*b(r) + 5*c(r). Let l(v) = -6*v**2 + 3*v**2 + 5*v**2. Give h(l(k)).
-12*k**4
Let w(j) = -2*j**2. Let l(m) = 5*m - 12*m - 3*m. Determine l(w(d)).
20*d**2
Let d(o) = 2*o. Let k(p) = p - 1. Let x be k(4). Let r(j) = -3*j**2 - 3. Let h(s) = 3*s**2 + 2. Let a(v) = x*h(v) + 2*r(v). Calculate d(a(t)).
6*t**2
Let i(k) be the second derivative of -k**3/2 - 5*k. Let r(j) = 6*j + 4. Let p(x) = -11*x - 7. Let l(q) = -4*p(q) - 7*r(q). Calculate i(l(v)).
-6*v
Let h(n) = -n**2. Let c(t) = 32*t - 2. Calculate h(c(o)).
-1024*o**2 + 128*o - 4
Suppose 0 = j + 5, 0 = 4*b + 3*j - j - 6. Let d(o) = 3*o**2. Let c(t) = -5*t**2. Let h(i) = b*c(i) + 7*d(i). Let s(w) = -11*w. What is h(s(l))?
121*l**2
Let c(s) = -4*s**2 - 3*s**2 + 5*s**2. Let u(f) = 2*f**2. Calculate u(c(o)).
8*o**4
Let l(m) = m**2. Let g(j) = 60*j**2. What is g(l(w))?
60*w**4
Let f(b) = -b. Let i(x) be the first derivative of -11*x**3/3 - 1. What is i(f(p))?
-11*p**2
Let v(b) = 3*b + 82. Let c(s) = -s. What is v(c(g))?
-3*g + 82
Let q(o) be the third derivative of 0 + 0*o**3 + o**2 + 0*o**4 - 1/60*o**5 + 0*o. Let u(y) be the third derivative of -y**5/10 - 3*y**2. Calculate u(q(m)).
-6*m**4
Let p(y) = -2*y**2. Let k(d) = 40*d + 4. Calculate k(p(z)).
-80*z**2 + 4
Let w(z) = z. Suppose 4*j + 9 = 3*r - j, 0 = -2*j. Let h be -36*(0 + -4 + r). Let u(t) = -h*t + 36*t - 3*t**2. Give w(u(l)).
-3*l**2
Let w(l) = -2*l. Let v(i) be the third derivative of i**5/60 + 11*i**2. Give v(w(j)).
4*j**2
Let r(u) = -u - 9. Let c be r(-12). Let j(n) = 3*n**2 - c*n**2 + 2*n**2. Let s(a) = 4*a**2. What is j(s(x))?
32*x**4
Let f(d) = -8*d + 0*d + 8*d - 2*d. Let m(r) = 2*r**2 - 97*r. Determine f(m(n)).
-4*n**2 + 194*n
Let x(r) = 5*r**2. Let n(s) be the second derivative of -5*s**4/12 - 8*s. Calculate x(n(d)).
125*d**4
Let j(i) = 6*i**2 - 6*i. Let d(t) = 152*t**2. Give j(d(c)).
138624*c**4 - 912*c**2
Let b(s) = 64*s**2. Let m(z) = -z - 1. Let u(k) = -2*k - 3. Let y(p) = 3*m(p) - u(p). Calculate y(b(a)).
-64*a**2
Let w(k) = 2*k. Let j(d) = 7*d**2 + 5*d. Determine j(w(i)).
28*i**2 + 10*i
Let w(q) = 3*q**2 - 2096*q. Let l(u) = 2*u. Calculate l(w(a)).
6*a**2 - 4192*a
Let n(a) = 2*a**2. Let x(f) = -123*f**2. Give n(x(u)).
30258*u**4
Let x(p) = -8*p**2. Suppose v = 6 + 2. Let a(i) = -15*i - i**2 + v*i + 7*i. Give a(x(b)).
-64*b**4
Let y(f) = -f**2 + 2*f**2 + 3188*f - 3188*f. Let u(l) = -49*l**2. Determine y(u(a)).
2401*a**4
Let t(f) = -3*f**2. Let j(w) be the second derivative of -w**3/2 + 6*w. Calculate j(t(a)).
9*a**2
Let d(c) = 1. Let x(i) = -i + 2. Let y(a) = 10*d(a) - 5*x(a). Let n(g) = 6*g. Determine y(n(j)).
30*j
Suppose 4*a = -12, 4*v = -3*a - 13 - 20. Let m = v + 9. Let r(k) = -m*k + 0*k + k + 3*k. Let b(g) = g. Determine b(r(w)).
w
Let t(s) = s. Let k = -1 + 4. Let c(g) = g**2 - k*g**2 + 6*g**2. Determine c(t(w)).
4*w**2
Let v(p) = 5*p**2 - 2*p**2 + 3*p**2. Let n(q) be the first derivative of -q**2 + 2. Calculate v(n(c)).
24*c**2
Let t(x) be the third derivative of x**8/20160 - x**5/60 - x**2. Let g(j) be the third derivative of t(j). Let n(d) = -6 + 0 + 6 + d**2. Calculate n(g(h)).
h**4
Let l(q) = 89*q**2. Let g(o) = 5*o. Calculate g(l(h)).
445*h**2
Let b(g) = 12*g. Let d(i) = 2*i. Let s(t) = -11*t. Let r(o) = -6*d(o) - s(o). Calculate b(r(v)).
-12*v
Let a(d) = -d. Let x(l) = -12*l**2 + 10*l + 10. Let g = 5 - 15. Let r(z) = z**2 - z - 1. Let h(v) = g*r(v) - x(v). Calculate h(a(k)).
2*k**2
Let b(u) = -3*u - 3