k**2
Let w(u) be the second derivative of u**6/72 + u**3 + 6*u. Let p(q) be the second derivative of w(q). Let c(o) = o. Determine c(p(z)).
5*z**2
Let b(p) be the second derivative of 0*p**2 + 2*p - 1/6*p**3 + 0. Let f(x) = 3*x**2 + x - x. Give b(f(t)).
-3*t**2
Let h(c) = -c**2 + 29. Let y(g) = 2*g**2. Determine h(y(b)).
-4*b**4 + 29
Let v(l) = 10*l. Let y(z) = 3*z. Let x(n) = -3*n. Let m(o) = -6*x(o) - 7*y(o). What is v(m(c))?
-30*c
Let v(r) = -2*r. Let l(x) = 17*x - 2. Give l(v(f)).
-34*f - 2
Let n(u) = -3*u**2 + 3*u**2 - 3*u**2. Let d = 17 + -13. Let r(k) = 0 + 0 - d*k + 3*k. Give r(n(y)).
3*y**2
Let b(h) = 0*h - h - h. Let v(r) = -r - 1. Let q(x) = 7*x - 1. Let p(g) = -8*g + 2. Let f(s) = 3*p(s) + 4*q(s). Let j(d) = f(d) + 2*v(d). Calculate b(j(k)).
-4*k
Let j(t) = t. Let d(b) = -28 + 51 - 23 - 14*b. What is j(d(p))?
-14*p
Let s(i) be the second derivative of i**4/6 + 28*i. Let t(a) = -9*a. What is s(t(m))?
162*m**2
Let o(z) = -94*z**2 + 43*z**2 + 49*z**2. Let n(a) = -3*a**2 + 4*a**2 + 0*a**2. Determine o(n(f)).
-2*f**4
Let v(y) = -2*y**2. Let c be (-2 + 4)/2*5. Let w(r) = -22*r + c*r**2 + 22*r - 3*r**2. Give w(v(j)).
8*j**4
Let s(c) = 2*c. Let j(h) = 13*h**2 - 5. Suppose w = 3*w - 24. Let g(v) = -32*v**2 + 12. Let t(k) = w*j(k) + 5*g(k). What is t(s(m))?
-16*m**2
Let m(i) = -4*i + 2*i - 6*i + 3*i. Let j(k) be the first derivative of -k**2 - 1. What is j(m(g))?
10*g
Let p(k) = k**2. Suppose c = 3*c - 4. Let a(i) = 0*i**2 + 0*i**2 - c*i**2. Give p(a(v)).
4*v**4
Let h(w) = -2*w**2. Suppose -4*o + 0*o = -8. Let g(y) = -3*y**o + 0*y**2 - y**2. Give g(h(b)).
-16*b**4
Let o(l) = -l + l + l**2. Let i = 16 + -13. Let q(p) = p - 3 + i - 5*p. Determine o(q(k)).
16*k**2
Let s(b) be the third derivative of -7*b**4/12 - 6*b**2. Let h(m) be the second derivative of m**4/12 - 9*m. Determine h(s(j)).
196*j**2
Let z(a) = -9*a**2. Let w(h) be the first derivative of -2*h**3/3 + 12. Determine z(w(g)).
-36*g**4
Let i(m) = -2*m. Let q(b) = 11*b - 44*b + 23*b. Give i(q(g)).
20*g
Let a(r) = -9*r**2. Let h(g) = 37*g**2. Determine h(a(w)).
2997*w**4
Let i(d) be the second derivative of d**3/6 - d. Let s(w) = 3*w. Let l(g) = g. Let b(x) = -7*l(x) + 2*s(x). What is i(b(c))?
-c
Let d(x) be the second derivative of 1/6*x**4 + 0 - 7*x + 0*x**3 + 0*x**2. Let j(z) = 7*z**2. What is j(d(w))?
28*w**4
Let g(l) = 3*l. Suppose 3*r - s - 11 = 0, -4*r + 2*r + 2*s + 6 = 0. Let q = -3 + r. Let n(p) = p**2 - q + 1. What is n(g(u))?
9*u**2
Let q(d) = -2*d + 0*d + 3*d. Let p(l) = -3*l**2. Determine p(q(y)).
-3*y**2
Let p(n) be the second derivative of 1/6*n**4 + n + 0 + 0*n**3 + 0*n**2. Let t(m) = 2*m. Give p(t(x)).
8*x**2
Let w(u) = -14*u**2. Let k(x) = -98*x**2. Give w(k(g)).
-134456*g**4
Let x(b) = 2*b. Let s(z) = 62*z - 13. Let g(w) = 15*w - 3. Let r(o) = 26*g(o) - 6*s(o). Calculate r(x(a)).
36*a
Let b(u) = -3*u**2. Let c(y) be the second derivative of -y + 1/6*y**3 + 0 + 0*y**2. Give c(b(m)).
-3*m**2
Let x(i) = -6*i**2 + i. Let c(o) = o**2. Give x(c(n)).
-6*n**4 + n**2
Let a(y) = -4*y**2. Let t(r) be the first derivative of -2*r**3 + 1. Determine a(t(b)).
-144*b**4
Let c(u) = 43*u**2. Let a(m) = -3 + m + 10 - 7. Give a(c(t)).
43*t**2
Let w(t) = 3*t + 2. Let p(h) = -2*h**2. Determine w(p(v)).
-6*v**2 + 2
Let y(t) = 8*t + 8*t - 11*t. Let s(a) = 9*a**2. Determine s(y(v)).
225*v**2
Let q(w) = 2*w. Let i(u) be the third derivative of u**8/20160 + u**5/15 - 3*u**2. Let d(v) be the third derivative of i(v). Calculate d(q(m)).
4*m**2
Let f(o) = -o**2 + 6. Let n(x) = -30*x**2. Determine f(n(b)).
-900*b**4 + 6
Let v(l) = l. Suppose 0 = 6*t - 2*t - 2*f - 30, 3*t = 5*f + 40. Let k(d) = -4*d - d - 6*d + t*d. What is v(k(u))?
-6*u
Let x(v) = 4*v**2 - v**2 - 2*v**2. Let w(o) = 9*o. Calculate w(x(d)).
9*d**2
Let m(h) = h**2. Let n(l) = -30*l**2. Give n(m(p)).
-30*p**4
Let m(s) = s. Let a(n) = 2*n - 94. What is a(m(o))?
2*o - 94
Let i(o) = 0 + 85*o**2 + 0 - 78*o**2. Let m(l) = -3*l. Determine m(i(y)).
-21*y**2
Let l(t) be the first derivative of -2*t**3/3 - 9. Let w(h) be the third derivative of 5*h**4/6 + 3*h**2. Determine w(l(x)).
-40*x**2
Let z(f) = 366*f**2. Let n(t) = 13*t**2. Calculate z(n(c)).
61854*c**4
Let w(h) = -6*h**2 - h**2 + 5*h**2. Let v(f) = 14*f**2. Calculate v(w(b)).
56*b**4
Let o(g) = -2*g. Let b(v) = 2*v + 25074. Calculate o(b(x)).
-4*x - 50148
Let i(p) be the second derivative of p**3/6 + 7*p. Let a(q) = -2*q. Give i(a(y)).
-2*y
Let c(h) = -3*h + 2*h + 4*h. Let g(i) = -2*i - 3. Let l(q) = -q - 1. Let a(u) = g(u) - 3*l(u). Determine c(a(z)).
3*z
Let x(p) = 3*p. Let r(j) be the first derivative of 10*j**3/3 + 5. What is r(x(b))?
90*b**2
Let f be (-5 - 1)*1/(-2). Let m = 6 - 3. Let t(u) = u - f + 0*u + m. Let k(i) = -3*i**2. Calculate k(t(l)).
-3*l**2
Let x(u) = -u + 96. Let w(a) = a + 6. What is x(w(n))?
-n + 90
Let r(p) = 17*p - 9*p - 10*p. Let v(s) = 4*s. What is r(v(l))?
-8*l
Let l(k) = 2*k. Let c(h) be the third derivative of 0*h + 0*h**3 + 3*h**2 + 0 + 1/30*h**5 + 0*h**4. Give c(l(v)).
8*v**2
Let s(v) = 2786*v. Let q(u) = u**2. Calculate q(s(z)).
7761796*z**2
Let g(a) = 4*a**2. Let s(k) be the first derivative of -k**6/180 + k**3/3 + 3. Let i(z) be the third derivative of s(z). Give g(i(b)).
16*b**4
Let u(n) = -3*n. Let x(l) = -l**2 + 4*l. Let d(c) = 4*u(c) + 3*x(c). Let j(a) = -12*a. Determine j(d(w)).
36*w**2
Let q(c) = -5*c + 3*c - 2*c + 7*c. Let w(r) = -r. Determine q(w(f)).
-3*f
Let b(y) = -4*y**2. Let k(n) = 3*n - 11. Determine b(k(o)).
-36*o**2 + 264*o - 484
Let t(b) = -12*b**2. Let m(g) = 2*g + 36. Calculate t(m(q)).
-48*q**2 - 1728*q - 15552
Let n be 4 - 1/1 - 1. Let q(j) = -2*j**2 + n*j**2 - 2*j**2. Let d(t) = 7*t**2 + 5. Let v(w) = -4*w**2 - 3. Let o(m) = 6*d(m) + 10*v(m). Calculate o(q(y)).
8*y**4
Let u(k) = -9*k + 19*k - 7*k - 4*k. Let j(q) be the third derivative of q**5/12 - q**2. Determine j(u(o)).
5*o**2
Let o(x) = -2*x**2 - x. Let r(n) = -n**2 - n. Let k(s) = o(s) - r(s). Let j(f) be the first derivative of 2/3*f**3 + 0*f**2 + 0*f - 11. Calculate j(k(h)).
2*h**4
Let x(t) be the second derivative of t**3/2 - t. Let d(r) = -3*r**2 + 58 + 50 - 154 + 46. What is d(x(b))?
-27*b**2
Let z(g) = g**2 - g - 3. Let j be z(3). Let l(s) = 9*s - j*s - 6*s - s. Let t(o) = -9*o**2. Determine t(l(a)).
-9*a**2
Let q(k) = -2*k**2. Let z(b) be the second derivative of b**4/3 - b. Give q(z(s)).
-32*s**4
Let u(p) = -3*p. Let i = -13 - -19. Let s(v) = v - 6*v - 2*v + i*v. Give u(s(w)).
3*w
Let n(g) = 9*g - 10. Let f(x) = -2*x**2. Determine f(n(h)).
-162*h**2 + 360*h - 200
Let o(c) = 3*c. Let f(k) = -k + 66. What is f(o(g))?
-3*g + 66
Let t(l) = l**2. Suppose 5*y - 2 = -42. Let o(x) = 5*x + 3. Let g(i) = -14*i - 8. Let d(p) = y*o(p) - 3*g(p). Give t(d(q)).
4*q**2
Let n(f) = 97*f**2 - 3. Let j(l) = 2*l**2. Calculate j(n(x)).
18818*x**4 - 1164*x**2 + 18
Let t(i) = 13*i**2. Let l(o) = -7*o**2. Let r(y) = -11*l(y) - 6*t(y). Let k(q) = -2*q + 2*q - 3*q + 0*q. Give r(k(v)).
-9*v**2
Let r(w) be the first derivative of -2*w**3/3 + 3. Let p(d) be the third derivative of 0*d + 0*d**3 - d**2 + 1/24*d**4 + 0. Determine p(r(z)).
-2*z**2
Let t(p) = p. Let b(u) = 81*u**2 - 24*u. What is t(b(k))?
81*k**2 - 24*k
Let q(a) = 3*a - 2. Let g(f) = 161*f. Calculate q(g(b)).
483*b - 2
Let q(t) be the third derivative of 0 + 0*t - 5*t**2 + 0*t**3 + 1/6*t**4. Let m(d) be the first derivative of -d**2 - 1. Calculate q(m(g)).
-8*g
Let d(k) = -184*k. Let p(u) = 6*u. Give d(p(t)).
-1104*t
Let o(x) = -6*x - 144. Let t(z) = -6*z. Calculate t(o(r)).
36*r + 864
Let k(t) = 38*t - 19*t - 23*t. Let c(q) = 4*q. Let b(w) = 23*w. Let l(v) = -6*b(v) + 34*c(v). Calculate k(l(r)).
8*r
Let b(c) = -29*c**2. Let v(y) = 25*y. Calculate v(b(j)).
-725*j**2
Let a(s) = 52*s - 2. Let w(c) = c**2. Give w(a(q)).
2704*q**2 - 208*q + 4
Let y(o) = 2*o**2. Let a(j) = -11 - 15*j**2 + 4*j**2 + 11. What is a(y(z))?
-44*z**4
Let v(r) be the first derivative of -r**2 - 3. Let p(a) = -a. Give p(v(k)).
2*k
Let n(s) = -s**2. Let f(x) be the second derivative of -x**4/2 + 2*x. Give n(f(g)).
-36*g**4
Let z(x) = -8*x**2. Let s(g) be the third derivative of g**4/12 - 9*g**2. What is z(s(d))?
-32*d**2
Let a(o) = -3*o**2 + 8 + o**2 - 8. Let t(b) = -40*b. Give t(a(r)).
80*r**2
Let v = 8 + -11. Let r be 5 + 0 + v + 3. Let k(c) = r*c**2 + 0*c**2