- 6*k**2. Determine l(m(u)).
2*u
Let k(n) = -23*n. Let b(l) = -2*l + 3. Let y(g) = -g + 1. Let r(a) = -b(a) + 3*y(a). Determine k(r(c)).
23*c
Let i(v) = 3*v. Let l(m) be the third derivative of 1/8*m**4 + 0*m**3 - 3*m**2 + 0*m + 0. What is l(i(q))?
9*q
Let q be -2 - -2 - 1*-2. Let l(h) = -4*h**2. Let x(k) = k**2. Let t(n) = q*x(n) + l(n). Let i(j) = -3*j**2 + 2*j**2 - j**2. Calculate i(t(g)).
-8*g**4
Let d(y) be the first derivative of -1/6*y**3 + y - 1 + 0*y**2. Let v(n) be the first derivative of d(n). Let c(o) = o. Calculate c(v(u)).
-u
Let w(s) = -2*s**2 + 5*s**2 - s**2. Let r(x) = -13*x - 5. Let b(l) = -19*l - 7. Let d(c) = 5*b(c) - 7*r(c). Calculate d(w(g)).
-8*g**2
Let a be 3 - (-2 - 2/(-2)). Let l(x) = a*x - 2*x - x. Let h(f) be the third derivative of -f**4/8 + 211*f**2. Determine l(h(b)).
-3*b
Let p(z) be the second derivative of z**4/12 + z. Suppose 16 = 4*o + 2*g, 8 = 3*o - 4*g - 4. Let v(c) = o*c - 3*c - 2*c. Calculate p(v(l)).
l**2
Let y(q) = 2*q. Let d(p) = 12*p**2 - p + 68. What is d(y(t))?
48*t**2 - 2*t + 68
Let i(b) = 22*b**2. Let y(u) = 2*u**2 - 3*u**2 + 23 - 23. What is y(i(z))?
-484*z**4
Let f(q) = -4*q. Let z(n) = -151*n**2. Calculate z(f(r)).
-2416*r**2
Let o(t) = -2*t. Suppose -1 = g, 4*s + 2*g + 162 = -0*g. Let k(y) = 9*y + 8. Let h(m) = m + 1. Let z(p) = s*h(p) + 5*k(p). Calculate z(o(x)).
-10*x
Let q(r) be the third derivative of r**4/24 + r**2. Let b(m) be the second derivative of -2*m + 0*m**3 + 0 + 0*m**2 - 1/12*m**4. Give b(q(x)).
-x**2
Let v(s) = -2*s. Let f(z) = -2*z**2 + 28. Determine v(f(x)).
4*x**2 - 56
Let p(j) be the second derivative of -5*j**4/12 + 7*j. Let y(b) = 4*b. Give p(y(q)).
-80*q**2
Let n(b) = -102*b. Let x(m) = -2*m**2. What is n(x(y))?
204*y**2
Let d(h) = h. Let f(c) = 111*c**2 - 2. Calculate f(d(y)).
111*y**2 - 2
Let p(w) = -3*w**2. Let q(d) = -3*d - 6. Calculate q(p(z)).
9*z**2 - 6
Let q(d) = d. Let c(r) = 4*r**2 - r**2 + 15*r**2 - 3*r**2. Calculate c(q(p)).
15*p**2
Let h(o) = -2*o. Let c(a) be the third derivative of 11*a**5/60 - 5*a**2. Give c(h(w)).
44*w**2
Let d(h) = 67*h**2 - 2*h. Let p(r) = 18*r**2. Calculate d(p(g)).
21708*g**4 - 36*g**2
Let t(n) = -3*n. Let v(h) = -11704*h. Calculate t(v(s)).
35112*s
Let l(x) = -x. Suppose -h + 7 = 5*m, -6 = 5*m - 1. Suppose -a = a - h. Let r(y) = -y. Let n(i) = -5*i. Let d(u) = a*r(u) - n(u). Determine l(d(o)).
o
Let o(w) be the second derivative of 1/12*w**4 + 0 + w + 0*w**3 + 0*w**2. Let r(m) = -6*m**2 - 12*m. Let c(n) = -n. Let u(p) = 12*c(p) - r(p). Give u(o(a)).
6*a**4
Let h(z) be the first derivative of -z**2 + 7. Let r(j) be the first derivative of -17*j**3/3 - 7. Calculate r(h(s)).
-68*s**2
Let u(t) be the second derivative of t**3/3 + 17*t. Let y(i) = -4*i**2. Determine u(y(x)).
-8*x**2
Let x(d) = -d. Let n(l) = 4*l**2 - 2*l**2 + l**2 - 2*l**2. Calculate n(x(r)).
r**2
Let h(f) = -5*f**2. Let q(t) = 618*t**2. Give h(q(w)).
-1909620*w**4
Let x(g) = -5*g - 2. Let b(l) = -2*l - 1. Let r(j) = 6*b(j) - 3*x(j). Let p(w) = -38*w. Calculate r(p(h)).
-114*h
Let u(k) = -8*k**2. Let f(d) be the first derivative of d**2/2 - 1. Determine f(u(b)).
-8*b**2
Let a(n) = 3*n**2. Let y(k) = 5*k**2 + 5*k. Let r(j) = -j. Let s(z) = 10*r(z) + 2*y(z). Give s(a(m)).
90*m**4
Let i(u) = 5*u. Let m(l) = -3*l**2 + 4*l. Calculate m(i(n)).
-75*n**2 + 20*n
Let c(b) be the third derivative of -b**5/30 + 2*b**2. Let i(j) = -25*j. Calculate c(i(d)).
-1250*d**2
Let w(m) = 15*m**2. Let y(n) = 243*n. Determine w(y(r)).
885735*r**2
Let p(h) = 2*h**2. Let l(z) = -181*z. Calculate p(l(v)).
65522*v**2
Let p(b) = -7*b**2. Let f(m) = -37*m. What is p(f(s))?
-9583*s**2
Let v(p) = -3*p**2 + 486*p - 486*p. Let y(a) = 15*a**2. Determine y(v(j)).
135*j**4
Let j(k) be the third derivative of 3*k**5/10 - 16*k**2. Let w(a) = -a**2. Determine w(j(b)).
-324*b**4
Let s(c) = -2488*c. Let k(v) = 3*v. Calculate s(k(g)).
-7464*g
Let m(j) = j. Suppose 0 = -5*d + 25, -2*w - 5*d + 6 + 9 = 0. Let g be (w - -2)*(0 + -1). Let p(h) = 0*h**2 + g*h**2 - 4*h**2. What is p(m(o))?
-o**2
Let q(h) = 2*h. Let p(o) = -259*o**2. Determine p(q(z)).
-1036*z**2
Let l(i) = -i. Let w be -6*(-2)/4 - -1. Suppose -4*o + 12 = w. Let g(f) = -3*f**2 + 3*f**2 + 2*f**o. What is l(g(j))?
-2*j**2
Let h(q) be the second derivative of q**3 - 8*q. Let u(d) = -d**2. What is h(u(a))?
-6*a**2
Let g(s) = 23*s**2. Let h(l) be the second derivative of l**4/12 + 11*l. What is g(h(m))?
23*m**4
Let u(g) = g - 4. Let h(b) = 1. Let r(x) = -4*h(x) - u(x). Let o(j) = -13*j. Let k(f) = 7*f. Let d(m) = -7*k(m) - 4*o(m). Calculate d(r(c)).
-3*c
Let r(g) be the first derivative of -6*g**2 - 26. Let f(a) = a**2. Calculate f(r(v)).
144*v**2
Let l(s) = -2*s. Let d(m) = -4*m. Let f(z) = 4*z. Let h(w) = w. Let p(r) = 2*f(r) - 7*h(r). Let v(y) = -d(y) - 3*p(y). Give l(v(a)).
-2*a
Let n(z) = 989*z. Let p(w) = w. Give p(n(m)).
989*m
Let k(h) be the third derivative of -h**5/10 - h**2. Suppose -z + 5*z = 24. Let s(u) = -3*u + 0*u - 2*u + z*u. What is k(s(f))?
-6*f**2
Let y(m) = -392*m - 2. Let b(z) = z**2. Calculate y(b(k)).
-392*k**2 - 2
Let b(r) be the first derivative of -r**6/180 - r**3 - 3. Let w(x) be the third derivative of b(x). Let p(g) = -g. Determine w(p(c)).
-2*c**2
Let c(z) = 207*z + 2. Let h(p) = -7*p. Calculate h(c(a)).
-1449*a - 14
Let d(b) be the third derivative of b**8/10080 + b**5/30 - 3*b**2. Let c(t) be the third derivative of d(t). Let v(f) = -4*f. What is c(v(n))?
32*n**2
Let y(j) be the first derivative of -2*j**3 - 13. Let l(w) be the third derivative of w**4/24 - 3*w**2. What is y(l(i))?
-6*i**2
Let u(j) = 8*j. Let l(t) = 5*t**2 - 2. Let n(y) = 21*y**2 - 9. Let w(q) = 9*l(q) - 2*n(q). Calculate w(u(o)).
192*o**2
Let j(k) = -712*k + 712*k - 8*k**2. Let v(h) = 4 - 4 + 2*h**2. Determine j(v(x)).
-32*x**4
Let l(b) = -21*b**2. Let p(w) = 46*w**2 - 1. Give p(l(g)).
20286*g**4 - 1
Let g(h) = -2*h + 0*h - 5*h. Let x(v) = -5*v**2 + 6. Let t(j) = -14*j**2 + 17. Let n(q) = -6*t(q) + 17*x(q). What is g(n(u))?
7*u**2
Let p(f) = f. Let n(c) be the first derivative of -11*c**3/3 + 1. Give n(p(m)).
-11*m**2
Let t(u) = 23*u. Let r(y) = -438*y. Give r(t(w)).
-10074*w
Let d(r) = 2*r**2. Suppose 10 = 3*z - 2*z. Let f(t) = 20*t**2 + 10*t + 10. Let u(m) = -m**2 - m - 1. Let n(i) = z*u(i) + f(i). Calculate d(n(o)).
200*o**4
Let m(z) = z + 18*z**2 - z - 20*z**2. Let g(u) = 10*u. Determine g(m(b)).
-20*b**2
Let u(l) = 11*l**2. Let g(t) be the third derivative of -t**7/2520 + t**5/10 + 4*t**2. Let y(o) be the third derivative of g(o). Give y(u(v)).
-22*v**2
Let w(s) = 3*s**2 + 80. Let o(j) = 6*j. Determine w(o(q)).
108*q**2 + 80
Let n(p) = 3*p**2 + 30. Let u(g) = g**2 - 6. Let x(z) = -n(z) - 5*u(z). Let t(v) = 2*v + 3 - 3. What is t(x(j))?
-16*j**2
Let u(c) = 12*c**2. Let m(q) = q**2 - 170*q + 170*q. Give u(m(x)).
12*x**4
Let u(i) = 4*i - 3. Let h(w) = 5*w - 4. Let y(j) = -3*h(j) + 4*u(j). Let l(q) = q + 2. Let r(m) = 6*m + 11. Let o(k) = -22*l(k) + 4*r(k). What is y(o(x))?
2*x
Let p(z) = 3*z. Let b(d) = -d. Give b(p(t)).
-3*t
Let x(u) = u + 3. Let j(m) = -2. Let o(g) = -3*j(g) - 2*x(g). Let l(c) be the third derivative of 0*c + 1/12*c**4 - 3*c**2 + 0 + 0*c**3. What is o(l(t))?
-4*t
Let i(g) = -7*g**2 + 6*g. Let v(r) = -r**2 + r. Let y(p) = -i(p) + 6*v(p). Let u(c) = -18*c**2. Determine u(y(t)).
-18*t**4
Let b(r) = 89*r. Let n(d) = -2*d. Determine b(n(p)).
-178*p
Let z(h) = -1620*h. Let r(l) = -2*l. What is r(z(n))?
3240*n
Let i be (-1 - (0 - 0))*-2. Let j(c) = 4*c**2 - 2*c**2 - 4*c**i. Let p(v) = -3*v**2 + 0*v**2 - v**2 + 3*v**2. Determine j(p(t)).
-2*t**4
Let i(u) = u**2. Let q(c) be the third derivative of -1/20*c**5 + 0*c**3 + 0*c**4 + 0 + 0*c + c**2. Determine q(i(g)).
-3*g**4
Let g(h) be the first derivative of 0*h**2 - 3 - 2/3*h**3 + 0*h. Let i(m) = 0*m + 2*m**2 + 0*m. Calculate g(i(w)).
-8*w**4
Let z(u) = u - 33. Let b(c) = -2*c**2 - 123*c. Give z(b(o)).
-2*o**2 - 123*o - 33
Suppose 2*b - 10 = -3*b. Let n(w) = 2*w**2 + 3*w**2 - 3*w**b + 0*w**2. Let v(r) = -2*r. What is v(n(t))?
-4*t**2
Let s(m) = 75*m. Let k(y) = -11*y**2. Give k(s(z)).
-61875*z**2
Let z(r) = 2*r + 36. Let t(b) = -3*b. What is t(z(c))?
-6*c - 108
Let p = -1 + 0. Let o = 7 + p. Let s(d) = -2*d + o*d - 3*d. Let t(u) = 2*u**2. What is t(s(z))?
2*z**2
Let v(a) = 10*a**2. Let t(n) = 