(j). Determine k(c(m)).
-6*m
Let j(o) = -o**2. Let l(f) be the second derivative of f**4/6 + 2*f. Determine j(l(s)).
-4*s**4
Let v(q) = -31*q. Let k(y) = 3*y. What is v(k(c))?
-93*c
Let x(p) = 2*p**2. Let b(a) be the second derivative of a**3/3 - a. Determine b(x(r)).
4*r**2
Let u(a) be the first derivative of -a**3/3 - 3. Let r(y) = 4*y**2 + 4*y + 4. Let f(h) = 4*h**2 + 5*h + 5. Let n(t) = -4*f(t) + 5*r(t). What is u(n(g))?
-16*g**4
Let i(w) = -3*w - 136. Let y(p) = -2*p**2. Give y(i(b)).
-18*b**2 - 1632*b - 36992
Let i(x) = -9*x + 8*x - 7*x - 5*x. Let d(b) = 2*b**2. What is d(i(s))?
338*s**2
Let l(m) be the second derivative of m**4/6 + 6*m. Let s(f) = -3*f. What is s(l(z))?
-6*z**2
Let s(k) be the second derivative of k**4/6 - 11*k**3/2 - 6*k - 1. Let o(h) = 2*h. What is s(o(b))?
8*b**2 - 66*b
Let p(f) = 4*f - f**2 - 3*f - f. Let h(a) = 4*a**2. Calculate p(h(s)).
-16*s**4
Let w(m) = -12*m**2 + 8*m - 8. Let z(p) = -8*p**2 + 5*p - 5. Let x(q) = 5*w(q) - 8*z(q). Let s(c) = -2 + c - 4*c + 2. Calculate s(x(i)).
-12*i**2
Let j(l) = -l**2. Let k(y) = 89*y**2 + 5 - 5. Give j(k(z)).
-7921*z**4
Suppose -i + 2*x = 8, -i + 9*x - 23 = 4*x. Let m(d) = 4*d**2 - 2*d**2 - d**i. Let c(q) be the third derivative of q**5/10 - 8*q**2. What is c(m(g))?
6*g**4
Let o(v) = v. Let h(y) = 3*y - 13. Calculate o(h(n)).
3*n - 13
Let a(h) = 5*h. Let b = -18 - -26. Let q(u) = 0*u**2 - 7*u**2 + b*u**2. Give a(q(z)).
5*z**2
Let x(z) = 5*z**2. Let o(s) = s**2 - 93. Calculate x(o(v)).
5*v**4 - 930*v**2 + 43245
Let m(v) be the third derivative of -v**5/60 - 6*v**2. Let g(n) = -n - 2. Let b(z) = -4*z - 9. Let s(i) = -2*b(i) + 9*g(i). Determine m(s(p)).
-p**2
Let i(g) = 568*g**2. Let m(h) = h. Give m(i(j)).
568*j**2
Let n(f) = f - 109. Let r(h) = 31*h**2. Calculate r(n(b)).
31*b**2 - 6758*b + 368311
Let s(h) = 32*h**2. Let c(j) = -40*j. Determine s(c(d)).
51200*d**2
Let o(u) = 18*u. Let s(h) = -h**2 - 8. Let m(b) = 1. Let r(x) = 24*m(x) + 3*s(x). Calculate r(o(i)).
-972*i**2
Let s(v) = -v. Let d(l) = -1387*l**2. Calculate d(s(a)).
-1387*a**2
Let f(t) = 7*t**2 + 5*t + 5. Let z(a) = -4*a**2 - 3*a - 3. Let b(u) = 3*f(u) + 5*z(u). Let l(p) = -9*p**2. Give l(b(i)).
-9*i**4
Let p(h) = -33*h + 3. Let y(b) = 38*b**2. Give p(y(t)).
-1254*t**2 + 3
Let k(u) = 4*u**2 - 5*u**2 + 4*u**2. Let t(p) be the second derivative of -p**6/240 - p**4/4 + 2*p. Let a(c) be the third derivative of t(c). What is k(a(y))?
27*y**2
Let r(y) = y**2. Let l(f) = 0*f - 20*f + 8*f. Give l(r(q)).
-12*q**2
Let s(v) be the first derivative of 0*v + 1 + 1/2*v**2. Let f(c) = -3*c**2. Determine f(s(i)).
-3*i**2
Let p(g) = -2*g. Let d(u) = -14376*u**2. Give d(p(r)).
-57504*r**2
Suppose -2*z - 14 = -2*r, 1 - 23 = -r + 4*z. Let c(g) = -91 + 2*g**r + 91. Let y(o) = -2*o. What is c(y(k))?
8*k**2
Let c(z) = -z**2. Let f(i) = i - 5. Let q be f(-10). Let n(r) = -12*r**2 - 15*r - 15. Let j(b) = 3*b**2 + 4*b + 4. Let v(d) = q*j(d) - 4*n(d). What is v(c(o))?
3*o**4
Suppose -3*y - y + 8 = 0. Let m(a) = 1 + 4*a**2 - 1 - y*a**2. Let w(t) = t. What is m(w(g))?
2*g**2
Let y(t) = -8*t**2. Let x(d) = -3*d**2 - 15. Let v(m) = -m**2 - 7. Let h(o) = -5*v(o) + 2*x(o). Let c(z) be the first derivative of h(z). Determine c(y(w)).
16*w**2
Let s(i) be the third derivative of i**5/60 + i**2. Let q(u) be the second derivative of 4*u**3/3 + 4*u. Calculate s(q(k)).
64*k**2
Let x(h) = -4*h. Let m(l) = -70*l**2 - 1. Give x(m(p)).
280*p**2 + 4
Let x(i) = 5*i. Let g(t) be the first derivative of 0*t**2 - 2/3*t**3 - 1 + 0*t. Calculate x(g(z)).
-10*z**2
Let a(w) = -w. Let f(y) be the second derivative of -y**4/4 + 16*y. What is a(f(s))?
3*s**2
Let k(l) = l**3 - 9*l**2 + 8*l + 2. Let i be k(8). Let g = -4 + 6. Let d(p) = -g + i + p. Let v(b) = 2*b**2. Calculate v(d(y)).
2*y**2
Let d(t) = 312*t**2 - 620*t**2 + 311*t**2. Let k(g) be the third derivative of -g**4/24 + g**2. Calculate k(d(s)).
-3*s**2
Suppose -p + 4 = p. Let s(o) = 0*o**2 + 4*o**2 - o**p - 2*o**2. Let n(g) = -4*g**2. Give n(s(u)).
-4*u**4
Let z(q) = 2*q - 39. Let r(g) = 96*g**2. Calculate z(r(h)).
192*h**2 - 39
Let w(i) = -18*i. Let r(g) be the third derivative of -g**4/24 - 8*g**2 - g. What is w(r(t))?
18*t
Let x(r) = 3*r. Suppose 5*w = -2*k + 14, -w - 7 = 3*k - 2. Let p(t) be the third derivative of -1/12*t**w + 0*t + 0*t**3 + 0 + 2*t**2. Calculate p(x(q)).
-6*q
Let f(x) = -1 - x + 1. Let u(s) be the first derivative of 6 + 0*s - 1/2*s**2. Give u(f(o)).
o
Let f(d) = d**2. Suppose 6 + 4 = 5*a, s - 4*a + 8 = 0. Let u(m) be the second derivative of 0 + 2/3*m**3 + s*m**2 - 2*m. What is u(f(i))?
4*i**2
Let l(j) = -j. Let u(b) be the third derivative of 29*b**5/60 + 9*b**2. Give u(l(n)).
29*n**2
Let v(a) = 2*a. Let i(l) = l. Let p = -14 - -10. Let f(b) = 9*b. Let x(m) = p*f(m) + 33*i(m). Give v(x(k)).
-6*k
Let u(p) = 2*p**2. Let o(x) = -213*x - 7. What is u(o(h))?
90738*h**2 + 5964*h + 98
Let g(d) = -2*d. Let y(q) = 784 - 784 - 19*q. Calculate g(y(t)).
38*t
Let v(j) = -62*j**2. Let q(c) = -7*c**2 - c + 5*c**2 + c. What is v(q(d))?
-248*d**4
Let c(q) = 7*q**2. Let j(l) be the first derivative of -l**3/3 + 12. Give c(j(x)).
7*x**4
Let s(f) = 2*f + 3. Let m(y) = -9*y - 13. Let v(t) = 6*m(t) + 26*s(t). Let l(i) be the second derivative of -1/6*i**4 + 0*i**2 + i + 0*i**3 + 0. Give v(l(d)).
4*d**2
Let q(u) be the first derivative of 2*u**3/3 + 1. Let w(n) = -4*n**2. Give q(w(y)).
32*y**4
Let t(c) = -14*c. Let b(j) = -j - 1. Let z(r) = -5*r - 7. Let w(a) = -14*b(a) + 2*z(a). Determine w(t(h)).
-56*h
Let s(x) = 6*x**2 + 3*x + 3. Let p(v) = v**2 + v + 1. Suppose -2*w - 1 - 1 = 0. Let j(f) = w*s(f) + 3*p(f). Let o(h) = h. Calculate j(o(a)).
-3*a**2
Let x(r) = 2*r. Let k(w) be the second derivative of 2*w**3/3 - 2*w. Calculate x(k(l)).
8*l
Let p(u) = 2*u. Let s(x) = 18 - 96*x + 199*x - 100*x. Determine s(p(f)).
6*f + 18
Let l(a) = 3*a - 6. Let z(m) = -m**2. Calculate l(z(o)).
-3*o**2 - 6
Let i(q) = -42*q**2. Let j(w) be the first derivative of w**2/2 + 2. Give j(i(f)).
-42*f**2
Let v(u) = 2*u. Let s(f) be the first derivative of 37*f**3/3 - 25. Calculate v(s(l)).
74*l**2
Let j(i) = 2*i. Let v(c) be the third derivative of -7*c**5/30 + 2*c**2. Calculate v(j(h)).
-56*h**2
Let k = 3 + 16. Let l(h) = -19*h - 2*h**2 + k*h. Let c(g) = -9*g. Determine c(l(w)).
18*w**2
Let i(b) = -2*b**2 - 188. Let n(x) = 5*x**2. Give n(i(p)).
20*p**4 + 3760*p**2 + 176720
Let m(y) = 5*y + 3. Let u(j) = -1. Let c(i) = 2*m(i) + 6*u(i). Let k(q) = -3*q**2. What is c(k(v))?
-30*v**2
Let f(x) = -3*x. Suppose -2*h = -2*d - 4, -h + 4*d - 8 = -5*h. Let s(j) = 7 - 5*j**2 - 7 + 0*j**h. What is f(s(z))?
15*z**2
Let s(c) be the second derivative of c**3/6 - 48*c. Let r(w) be the first derivative of 0*w**2 + 0*w - 2/3*w**3 + 1. What is s(r(q))?
-2*q**2
Let d(z) = z**2 - z + z. Let p(m) = -m + 0*m + 3*m + 0*m. Determine d(p(h)).
4*h**2
Let z(t) = t**2. Let k = -4 - -6. Let l(j) = 6*j**k + 4*j**2 - 6*j**2. Determine z(l(w)).
16*w**4
Let w(k) = 3*k + 4. Let f(d) = 1. Let j(q) = -4*f(q) + w(q). Let u(p) = 5*p. Give u(j(s)).
15*s
Let d(c) be the first derivative of -c**2 - 8. Let m = 12 - 7. Let l(z) = -3*z - 5. Let n(y) = -5*y - 8. Let h(b) = m*n(b) - 8*l(b). Calculate h(d(j)).
2*j
Let c(o) = -2*o. Let v(k) = -3*k. Give c(v(m)).
6*m
Let x(k) = -5*k. Let b(t) = t**2 + 221*t. Determine b(x(v)).
25*v**2 - 1105*v
Let o(l) = l**2. Let u = 4 + -2. Let b(v) be the third derivative of v**u + 0*v + 0*v**3 - 1/24*v**4 + 0. Give b(o(x)).
-x**2
Let a(g) = -2*g. Let y(x) = -7*x**2 + 20 + 0*x**2 - 19. What is y(a(d))?
-28*d**2 + 1
Let v(p) be the third derivative of -p**4/12 + 2*p**2. Let m(z) be the third derivative of -z**4/12 - z**2. Calculate m(v(x)).
4*x
Let t(p) = -63*p**2. Let f(s) = 3*s**2. Calculate f(t(z)).
11907*z**4
Let r(v) = -2*v - 1. Let z(w) = 18*w**2. Give r(z(b)).
-36*b**2 - 1
Let x(a) = -58*a**2 + 2*a. Let z(s) = 2*s**2. Determine z(x(c)).
6728*c**4 - 464*c**3 + 8*c**2
Let d(i) = -i. Let q(k) = 8874*k. Give q(d(f)).
-8874*f
Let z(m) = 2*m**2. Let i(n) be the first derivative of n**4/3 - 4*n + 3. Let s(o) be the first derivative of i(o). Determine z(s(l)).
32*l**4
Let w(d) = d + 25. Let h(j) = -23*j. Determine w(h(i)).
-23*i + 25
Suppose 3*k - 4 - 8 = 0. Suppose -k*a = -2 - 6. Let h(m) = -a*m**2 + 2 - 2. Let f(j) = 2*j. Calculate f(h(x)).
-