- h**3/3 + 9*h**2. Let t(i) be the first derivative of f(i). Let d(x) = -3*x. Determine d(t(y)).
15*y
Let w(a) = 3*a**2 + 2*a**2 - 5*a**2 + 2*a**2. Let t(u) = u. Calculate t(w(r)).
2*r**2
Let g(w) = -44*w**2 - w. Let b(o) = 14 - 14 - o. Give b(g(l)).
44*l**2 + l
Let a(j) = j**2. Let q(h) be the third derivative of -h**6/180 + h**3/3 + 4*h**2. Let c(o) be the first derivative of q(o). Give a(c(z)).
4*z**4
Let v(n) = 3*n**2 - 4*n - 4. Let m(f) = 2*f**2 - 3*f - 3. Let u(l) = -4*m(l) + 3*v(l). Let b(x) = -21*x. Give u(b(a)).
441*a**2
Let w = -5 - -6. Suppose -2*j + 3 = -w. Let l(b) = 7*b**j + b - b + 0*b**2. Let i(t) = -t. Calculate i(l(g)).
-7*g**2
Suppose -15 = -0*l - 3*l. Let q(v) = -v - 3*v + l*v. Let p(a) = -a**2. Calculate p(q(d)).
-d**2
Let r(y) = -3*y**2. Let p(b) be the first derivative of 4*b**3/3 + 5. Calculate r(p(d)).
-48*d**4
Let h(a) be the second derivative of -a**4/6 - a. Let k(n) be the second derivative of n**4/4 + 8*n. What is k(h(u))?
12*u**4
Let v(n) = 15*n**2 - 33*n - 33. Let k(h) = h**2 - 2*h - 2. Let u(j) = 66*k(j) - 4*v(j). Let g(d) = -9*d. Give u(g(m)).
486*m**2
Let n(r) = 2*r + 57 - 57. Let z(g) be the first derivative of g**3 + 2. What is z(n(h))?
12*h**2
Suppose -21 = -2*x - 3*m, -4*m = -11 - 1. Let j(i) = i - i - x*i. Let t(d) = -2*d. Give t(j(s)).
12*s
Let c(y) = -3*y. Let b(j) = 10 - 10 - 2*j. Give b(c(k)).
6*k
Let u be (-5)/2*(-8)/10. Let f(v) = 2 - v**u - 2. Let x(a) = -3*a**2 + 4*a**2 - 4*a**2. Calculate x(f(w)).
-3*w**4
Let d(c) = -24 + 34 - 10 - 2*c. Let i(z) = 5*z**2. Let w(f) = -f**2. Let n(m) = i(m) + 4*w(m). Determine d(n(t)).
-2*t**2
Let a(g) be the third derivative of 0*g**3 + 1/30*g**5 - 3*g**2 + 0*g + 0*g**4 + 0. Let n(b) be the third derivative of b**5/20 + 3*b**2. What is a(n(c))?
18*c**4
Let w(i) be the third derivative of -i**4/12 - 11*i**2. Let r(v) = 10*v. Give r(w(p)).
-20*p
Let s(k) = -9*k. Let f(h) = -15*h - 48. Let c(w) = -3*w - 10. Let i(j) = -24*c(j) + 5*f(j). What is i(s(r))?
27*r
Let r(t) be the third derivative of 0*t + 0 + 2*t**2 - 1/12*t**4 + 0*t**3. Let y(i) = -2*i + 0*i + 0*i. Give r(y(k)).
4*k
Let b(m) be the third derivative of -m**4/24 + 4*m**2. Let p(q) = 6*q**2. What is p(b(h))?
6*h**2
Let r(n) = n**2. Let k(v) = -4*v - 2 + 2 + 2 - v**2. Let z be k(-4). Let i(m) = -z*m - 2*m + 0*m. What is i(r(a))?
-4*a**2
Let l(z) = 6*z**2. Suppose -10 = -5*c - 3*d + 2*d, 2*c - 2*d = 4. Let o(q) = -c*q + 2*q - q**2 - q**2. Give o(l(a)).
-72*a**4
Let i(w) be the first derivative of -3*w**2 + 13. Let y(n) = 3*n + 4. Let c(d) = -6 - 2*d - 5 - 6*d. Let r(v) = 4*c(v) + 11*y(v). Calculate i(r(p)).
-6*p
Let k(n) be the third derivative of -n**4/24 + 9*n**2. Let r(g) = -21*g**2. Calculate k(r(z)).
21*z**2
Let s(x) = 5*x**2. Let n(c) be the first derivative of c**2 + 9. Calculate s(n(b)).
20*b**2
Let v(m) = -m + 3. Let o(w) = w - 3. Let q(f) = 4*f - 13. Let n(j) = -9*o(j) + 2*q(j). Let d(g) = -3*n(g) + v(g). Let c(r) = -r. Determine d(c(u)).
-2*u
Let d(a) = 32*a**2 + 5*a. Let l(m) = 4*m**2. Determine d(l(k)).
512*k**4 + 20*k**2
Let c(t) be the first derivative of t**5/30 + t**2/2 - 1. Let o(n) be the second derivative of c(n). Let d(x) = 28*x**2 + 29*x**2 - 55*x**2. Give d(o(m)).
8*m**4
Let d(u) = -4*u**2 + 2*u**2 + 0*u**2 + 0*u**2. Let f(k) = -9*k**2. Determine f(d(p)).
-36*p**4
Let o(s) = -451*s. Let x(n) = -n**2. Determine x(o(h)).
-203401*h**2
Let t(h) = 2*h**2. Suppose -1 + 25 = 3*w. Let r(x) = 4 + 5*x + 4 - w. Give r(t(g)).
10*g**2
Let u(b) = 19*b. Let y(r) = 266*r. What is y(u(w))?
5054*w
Let i(m) = -1861*m**2. Let g(j) = 2*j. What is g(i(a))?
-3722*a**2
Let z(j) = -j**2. Let q(g) = 11*g + 2 + 18*g - 28*g - 3. Determine q(z(p)).
-p**2 - 1
Let s(u) be the first derivative of u**2/2 - 6. Let i(k) = 43*k. What is i(s(r))?
43*r
Let m(z) = 2*z**2 - 2*z**2 + z**2 - 2*z**2. Let a(o) be the third derivative of o**5/20 + 2*o**2. Determine a(m(p)).
3*p**4
Let p(f) = 2*f**2. Suppose 4*h = 12, 0 = 5*x - 5*h - 3 + 18. Suppose 6 = 3*y - x*y. Let o(a) = a - y*a + 0 + 0. Calculate p(o(u)).
2*u**2
Let z(j) = -3*j. Let f be (-696)/(-60) - (-4)/10. Let o(w) = 2 - f*w + 16*w - 2. Calculate o(z(s)).
-12*s
Let j(f) = -3*f**2 + 7*f**2 - 6*f**2. Let s(i) = 11*i. Let b(d) = 5*d. Let p(c) = -10*b(c) + 5*s(c). Give p(j(y)).
-10*y**2
Let b(k) = -111*k**2 - k. Let h(d) = 3*d**2. Calculate h(b(w)).
36963*w**4 + 666*w**3 + 3*w**2
Let o(x) = 325 + 4*x**2 - 325 - 2*x**2. Let d(f) = -11*f**2. Determine o(d(c)).
242*c**4
Suppose 0 = 5*q - 9*q + 8. Let m(g) = q*g + g - g. Let u(v) = 3*v**2. Give m(u(f)).
6*f**2
Let f(k) be the third derivative of -k**7/2520 + 7*k**4/24 - 10*k**2. Let z(s) be the second derivative of f(s). Let t(p) = -7*p. Determine t(z(v)).
7*v**2
Let f(v) = -v**2. Suppose u - 2*y - 5 = 0, 2*u - 33 = -2*u - 5*y. Let d(p) = -8*p + p - u*p. What is d(f(t))?
14*t**2
Let w(p) be the third derivative of p**4/12 + 18*p**2. Let t(v) = 10*v**2. What is t(w(g))?
40*g**2
Let y(r) = -r**2 + 3*r. Let v(j) = -j**2 + 2*j. Let l(o) = 3*v(o) - 2*y(o). Let s(m) = 11*m. Give s(l(t)).
-11*t**2
Let a(j) = 5*j. Let v(u) = -2*u + 50. What is v(a(r))?
-10*r + 50
Let t(q) be the first derivative of 2 - 3 + 3*q**2 - 2*q**2. Let m(n) = 10*n**2 + 5*n + 5. Let w(a) = a**2 + a + 1. Let z(s) = m(s) - 5*w(s). What is t(z(p))?
10*p**2
Let q(n) be the third derivative of -n**4/24 + n**2. Let p(c) = -10*c**2 + 5*c**2 + 7*c**2. Calculate q(p(x)).
-2*x**2
Let a(q) = -3*q**2. Let n(l) = 7*l + 6. Let x(z) = 13*z + 11. Let i(w) = -11*n(w) + 6*x(w). Determine a(i(d)).
-3*d**2
Let z = -2 - -2. Suppose -i + 4*c + 16 = z, 3 = -c - 0. Let m(t) = 4 - i - 3*t. Let l(u) = u**2. Determine m(l(k)).
-3*k**2
Let x(p) = -p**2. Let m(h) = -704*h**2 - 2. Determine m(x(k)).
-704*k**4 - 2
Let q(i) = 5*i**2. Let n be (-1)/((-1)/(10/(-2))). Let d = -3 - n. Let s(r) = -2 - 12*r + 10*r + d. Calculate s(q(j)).
-10*j**2
Let z(k) = k. Let w(l) = -222*l. What is z(w(f))?
-222*f
Let y(v) = 8*v**2. Let z(o) = -2*o + 4. Let p(i) = 3*i - 5. Let s(q) = -4*p(q) - 5*z(q). Give s(y(u)).
-16*u**2
Let n(x) = -2. Suppose 3 = -i + 1. Let g(u) be the second derivative of -u**3/6 - 7*u**2/2 - 7*u. Let c(d) = i*g(d) + 7*n(d). Let f(o) = 2*o. Give f(c(l)).
4*l
Let t(n) = -7*n**2. Let b(x) = -154*x + x**2 + 154*x. Calculate t(b(v)).
-7*v**4
Let q(d) = -4256*d + 1. Let x(b) = -b. Give q(x(a)).
4256*a + 1
Let x(u) = 22*u. Let t(f) = -3*f. Calculate x(t(z)).
-66*z
Let m(k) = -2*k**2. Let j(b) = b. Let c(h) = 2*h. Let x = 13 - 16. Let y(i) = x*j(i) + c(i). What is m(y(u))?
-2*u**2
Let l(s) = 19*s**2. Let m(h) = 5*h**2. Calculate l(m(t)).
475*t**4
Let m(d) = 2*d**2. Let w(q) = 2*q - 9. Let v(p) = -p + 4. Let s(i) = -9*v(i) - 4*w(i). Calculate m(s(l)).
2*l**2
Let k(z) = 7*z**2 + 2. Let h(u) = u**2 - 1. Let s(a) = 2*h(a) + k(a). Let d(p) = 3*p**2. Give d(s(y)).
243*y**4
Let f(g) = 81*g + 2. Let y(q) = 5*q. Calculate f(y(v)).
405*v + 2
Let q(g) be the third derivative of g**8/20160 + 7*g**5/60 + 5*g**2. Let o(b) be the third derivative of q(b). Let c(a) = 8*a. Determine o(c(p)).
64*p**2
Let l(u) = -u**2 + 8*u - 7. Let y be l(7). Let t(s) be the third derivative of 0*s**4 + 0 - 2*s**2 + 0*s - 1/60*s**5 + y*s**3. Let h(m) = m**2. What is h(t(z))?
z**4
Suppose 0*g + 3*g = 6. Let j(u) = -5*u + g*u + 5*u. Let z(r) = -6*r + 8. Let c(y) = -2*y + 3. Let i(p) = 8*c(p) - 3*z(p). Give j(i(q)).
4*q
Let t = -5 - -12. Let g be t/3 + (-1)/3. Let x(q) = g*q**2 + 0*q + 0*q. Let m(h) = -5*h. What is x(m(y))?
50*y**2
Let s(x) = -3*x + 4*x - 4*x - 2 + 4. Let n(t) = -16*t + 11. Let y(r) = -4*n(r) + 22*s(r). Let b(j) = -3*j**2. Give b(y(p)).
-12*p**2
Let h(n) = 3*n**2 - 4*n**2 + 0*n**2. Let u(t) = 2*t - 3. Let s(g) = 5*g - 7. Let k(m) = -3*s(m) + 7*u(m). Determine k(h(a)).
a**2
Let y(a) = -3*a. Let u(s) = 3 + 2*s - 4 + 1. What is u(y(v))?
-6*v
Let m(p) be the second derivative of -19*p**4/12 - 4*p. Let r(i) = i**2. Determine r(m(x)).
361*x**4
Let d(u) be the third derivative of u**4/8 + 6*u**2. Let p(j) = -4*j. What is d(p(c))?
-12*c
Let w(j) = 2*j. Let u(f) = f**3 - 10*f**2 + 8*f + 8. Let g be u(9). Let r = 2 + g. Let h(a) = -r + 1 + 4*a - 6*a. What is w(h(q))?
-4*q
Let r(d) = -d. Let p(j) = 7*j**2 - 3*j + 3. Let w = -3 + -1. Let k(b) = -6*b**2 + 4*b - 4. Let u(o) = w*p(o) - 3*k(o). Calculate u(r(n)).
-10*n**2
Let f(s