 29. Let g(o) = 19*o. Determine g(m(p)).
114*p**2 - 551
Let t(z) be the third derivative of z**5/30 + 31*z**2. Let u(b) = 11. Let d(q) = -q - 1. Let r(a) = -11*d(a) - u(a). Give t(r(n)).
242*n**2
Let f(v) = 2*v. Let c(k) = 42*k + 1. What is f(c(y))?
84*y + 2
Let r(t) = 16*t**2. Let g(s) = -95*s - 1. Determine g(r(v)).
-1520*v**2 - 1
Let j(a) = -3*a. Let n(q) = 3*q**2 + q + 39. Determine n(j(u)).
27*u**2 - 3*u + 39
Let t(o) = -2*o**2. Let k(a) be the third derivative of -a**6/180 - a**3/3 + a**2. Let m(r) be the first derivative of k(r). Give m(t(b)).
-8*b**4
Let k(p) be the first derivative of 2*p**2 + 39. Suppose -a + 0 + 2 = 0. Let z(y) = 0*y + y - a*y. What is z(k(x))?
-4*x
Let c(z) = -2*z**2 - 3*z - 3. Let g(t) = -5*t**2 - 7*t - 7. Let s(y) = 7*c(y) - 3*g(y). Let l(b) = 15*b**2. What is s(l(r))?
225*r**4
Let n(s) = -13*s. Let v(i) = -1 + i + 0*i - 2*i. Let y(p) = 1. Let x(q) = -v(q) - y(q). Give n(x(f)).
-13*f
Let w(s) = -s. Let z(r) be the first derivative of r**4/4 - 5*r**2/2 - 5. Let b(u) be the second derivative of z(u). What is w(b(j))?
-6*j
Let m(r) = -17*r - 288. Let o(f) = -f**2. Calculate o(m(q)).
-289*q**2 - 9792*q - 82944
Let g(a) = -23*a + 17. Suppose y + 4 = 5*z, -5*y + 30 = 2*z - 4. Let b(s) = 4*s - 3. Let h(d) = y*g(d) + 34*b(d). Let m(n) = -2*n + 2*n - n. Determine h(m(l)).
2*l
Let v(z) = -33*z. Let g(d) be the second derivative of -d**4/6 + 12*d. Give g(v(t)).
-2178*t**2
Let y(p) = -5*p. Let u(g) = 2*g - 12. Determine y(u(a)).
-10*a + 60
Let n(h) = 5*h - 3*h - 3*h + 0*h. Let u(y) = y. Determine u(n(d)).
-d
Let d(z) = 0*z**2 + 0*z**2 + 3*z**2. Let q(o) be the first derivative of -2*o**3/3 + 8. Give q(d(u)).
-18*u**4
Let t = 16 + -7. Let v(h) = 2*h**2 + t - 9. Let y(s) = -5*s - 4. Let f(k) = 6*k + 5. Let n(o) = 4*f(o) + 5*y(o). Calculate v(n(x)).
2*x**2
Let a(y) be the first derivative of -y**3/3 - 1. Let r(m) be the first derivative of -m**4/6 - m + 2. Let g(i) be the first derivative of r(i). Give g(a(p)).
-2*p**4
Let b(g) be the first derivative of -3*g**2 + 3. Let f(a) = -5*a. Calculate b(f(t)).
30*t
Let n(z) = 18*z**2. Let b(j) = 9*j**2 - 5*j + 5. Let o(q) = 4*q**2 - 2*q + 2. Let d(m) = -2*b(m) + 5*o(m). Calculate d(n(y)).
648*y**4
Let y(l) be the third derivative of -l**5/30 + 3*l**2. Let k be 1/3 + (-44)/(-12). Let p(q) = -4*q + k*q + q**2. Calculate y(p(a)).
-2*a**4
Let m(c) = -13*c**2. Let r(v) be the third derivative of v**5/60 - 4*v**2. What is m(r(f))?
-13*f**4
Let n(g) be the first derivative of g**3/3 + 4*g - 8. Let r(l) = -3*l**2 - 7. Let j(z) = 7*n(z) + 4*r(z). Let s(h) = h. Determine s(j(w)).
-5*w**2
Let c(b) = 2*b**2. Let k be 3 - (-3 - (-2)/2). Let q(o) = 4*o**2 - 2*o**2 + 2*o**2 - k*o**2. Calculate q(c(p)).
-4*p**4
Let p(y) = 9*y**2 + 8*y**2 - 19*y**2. Let t(n) = 2*n. What is t(p(c))?
-4*c**2
Let k(n) = -15*n**2 + 8*n. Let a(s) = -2*s. Calculate k(a(b)).
-60*b**2 - 16*b
Let w(m) be the second derivative of 0*m**2 - 1/12*m**4 + 0 + 2*m + 0*m**3. Let o(r) be the third derivative of -r**5/60 - r**2. Calculate w(o(p)).
-p**4
Let r(j) = -9*j**2. Let d(z) = 41 - 3*z - 41. Calculate d(r(t)).
27*t**2
Let k(r) = r. Let z(b) be the second derivative of b**4/3 - 3*b + 5. Determine k(z(w)).
4*w**2
Let y(l) = -6*l + 0*l - 6*l + 3*l. Let u(s) = 5*s. What is y(u(t))?
-45*t
Let f(t) be the first derivative of 0*t + 0*t**2 - 1/3*t**3 - 4. Let c(i) = i. What is c(f(g))?
-g**2
Let k(z) = 2*z + 8*z - 10*z + z**2. Let i(c) = -109*c**2. Determine i(k(w)).
-109*w**4
Let a(m) = 2*m**2. Let o(s) = s**3 - 4*s**2 - 6*s + 5. Let u be o(5). Let v(t) be the second derivative of t + u*t**2 + 1/3*t**3 + 0. Calculate v(a(j)).
4*j**2
Suppose -l - 1 + 5 = 0. Let z = l + -1. Let r(k) = -2*k**2 + 3 - z. Let i(j) = -j**2. Calculate r(i(a)).
-2*a**4
Let m(q) = 3*q. Let c = -16 + 18. Let l(a) be the third derivative of 0*a**3 + 0*a + 0*a**4 + 0 + 1/30*a**5 + c*a**2. Calculate m(l(r)).
6*r**2
Let q(u) = 0*u + u + u - 3*u. Let v(h) = 9*h**2. What is q(v(s))?
-9*s**2
Let c(a) = -30*a. Let p(r) = -121*r**2. Calculate p(c(b)).
-108900*b**2
Let c(n) be the first derivative of n**2 - 9. Let a(s) be the second derivative of -s**3/3 - s. Calculate a(c(w)).
-4*w
Let k(t) = -3*t**2. Let x(v) = -3*v. Let j(b) = 3*b + 7. Let g(w) = w + 2. Let s(q) = -21*g(q) + 6*j(q). Let l(i) = 3*s(i) - 2*x(i). Give l(k(y)).
9*y**2
Let i(g) = -g**2 + g**2 - 2*g**2. Let x(t) be the first derivative of t**2 + 11. What is i(x(s))?
-8*s**2
Let m(h) = 3*h + 6. Let z(o) = -4*o - 7. Let k(t) = 7*m(t) + 6*z(t). Let b(a) = 13*a - 7. Let r(u) = 4*u - 2. Let g(f) = -2*b(f) + 7*r(f). What is k(g(q))?
-6*q
Suppose 2*v - 5*i - 47 = v, 4*v = i + 150. Let n(o) = -37 - 2*o + v. Let u(r) = -3*r - r + 9*r. Calculate u(n(w)).
-10*w
Let i(u) = -4*u. Let v(f) = -f. Let o(l) = -6*i(l) + 22*v(l). Let k(h) be the third derivative of h**4/8 - 4*h**2. What is k(o(w))?
6*w
Let v(i) = -2*i - 2. Let h(f) = 1. Let d(z) = -2*h(z) - v(z). Let g(c) = 19*c. Give d(g(q)).
38*q
Let c(k) = -10*k. Let j(g) = 13*g**2. What is c(j(n))?
-130*n**2
Let c(f) = 189*f**2 - 77*f - 77. Let j(s) = -5*s**2 + 2*s + 2. Let g(u) = -4*c(u) - 154*j(u). Let n(m) = 3*m. What is n(g(b))?
42*b**2
Let n(v) = -v. Let a(t) = 2*t + 4*t - 3*t + 3. Suppose 0 = -2*d + 4*d + 2. Let h(l) = 1. Let x(o) = d*a(o) + 3*h(o). Calculate x(n(m)).
3*m
Let s(h) = 9*h**2. Let k(q) = 28*q. Calculate k(s(d)).
252*d**2
Let u(z) = z**3 + 7*z**2 - 10*z - 11. Let n be u(-8). Let y(s) = -4*s - 6*s**2 + 4*s + n*s**2. Let i(g) = 4*g**2. What is y(i(c))?
-16*c**4
Let w(m) = 11*m**2. Let h(j) = -6*j**2. What is h(w(f))?
-726*f**4
Let q(y) be the second derivative of -y**4/3 - y + 1. Let o(b) = 33*b. Determine q(o(d)).
-4356*d**2
Let z(k) = 87*k**2. Let j(m) = -12*m**2. Give j(z(i)).
-90828*i**4
Let s(t) be the third derivative of -7*t**2 + 0 + 0*t - 1/60*t**5 + 0*t**4 + 0*t**3. Let n(z) = 3*z. Calculate s(n(u)).
-9*u**2
Let i be 92/9 + (-4)/18. Let g = -7 + i. Let l(r) = 0 - 4*r**2 + 0 + g*r**2. Let w(t) = -t. Determine l(w(y)).
-y**2
Let c(r) = -44*r**2. Let w(g) = 10*g - 5. Give c(w(s)).
-4400*s**2 + 4400*s - 1100
Let c(z) = 10*z**2 - 12*z - 12. Let n(v) = v**2 - v - 1. Let d(t) = c(t) - 12*n(t). Let a(w) = 10*w. Determine a(d(r)).
-20*r**2
Let g(y) = -y**2. Let n(t) = -66*t + 7. What is n(g(z))?
66*z**2 + 7
Let g(s) = s - 2*s + 3*s + s. Let k(j) = 7*j**2. Let f(o) = -3*o**2. Let l(a) = -5*f(a) - 2*k(a). Calculate g(l(h)).
3*h**2
Let m(l) = -4*l**2. Suppose 0 = 4*w + 13 + 3, 0 = 2*h - w - 8. Let f(t) = -4*t - 5. Let d(o) = -2*o - 2. Let k(b) = h*f(b) - 5*d(b). Give k(m(n)).
-8*n**2
Let d(b) = -2*b. Suppose -8 = -4*f + 2*m, f + 2*m = 2*f + 1. Let h(t) = 3*t - t - f*t + 4*t. Let l(s) = 5*s. Let i(a) = 8*h(a) - 5*l(a). What is d(i(z))?
2*z
Let i(z) = 2*z + 20. Let t(v) = 8*v**2. Calculate t(i(s)).
32*s**2 + 640*s + 3200
Let a(m) = -4*m. Let r(h) be the first derivative of -h**3 + 6. Calculate a(r(p)).
12*p**2
Let c(t) = -2*t**2. Let h(r) = -r**3 + 2*r**2 + 2*r + 3. Let b be h(3). Suppose 4*w + 0*v = -2*v, -5*w + 4*v = 0. Let z(l) = b*l - l + w*l. Calculate z(c(f)).
2*f**2
Let a(v) = -v**2. Let k(m) be the third derivative of 13*m**4/24 - 4*m**2. Calculate k(a(t)).
-13*t**2
Let r(t) = 3*t. Let b(z) be the third derivative of -z**5/15 + 5*z**2. What is b(r(s))?
-36*s**2
Let i(u) = -u + 30. Let r(c) = -c. What is r(i(y))?
y - 30
Let j(z) = 107*z**2 + 7*z - 1. Let o(m) = -m**2. What is j(o(x))?
107*x**4 - 7*x**2 - 1
Let c(q) = q - 1. Let v(f) = 8*f - 4. Let o(j) = -12*c(j) + 3*v(j). Let a(x) = -x**2 - 3*x**2 + 2*x**2. What is o(a(d))?
-24*d**2
Let j(h) = -168*h. Let r(i) = -3*i**2. Calculate j(r(g)).
504*g**2
Let s(d) = -d. Let n be (-8)/44 + (-72)/(-33). Let z(r) = -r. Let w(v) = n*z(v) - 5*s(v). Let u(g) = 2*g**2 - 3 + 3. Determine w(u(x)).
6*x**2
Let p(g) be the first derivative of -2*g**3/3 + 16. Let a(j) = -2*j. Determine p(a(l)).
-8*l**2
Let w(c) be the second derivative of c**4/6 + c. Suppose -3*s = 3*q - 6, 5*s + 0*s - 3*q - 10 = 0. Let v(o) = 2*o**2 - 3*o**2 + 3*o**s. What is v(w(l))?
8*l**4
Let s(y) = -5*y**2 - 8*y + 8. Let n(i) = 2*i**2 + 3*i - 3. Let k(v) = 8*n(v) + 3*s(v). Let d(t) = 3*t - 6*t - 5*t + 3*t. Calculate d(k(p)).
-5*p**2
Let j(i) = 2*i**2. Let q(d) = 1155*d**2. Determine j(q(w)).
2668050*w**4
Let k(q) be the first derivative of q**2 + 13