.
-13*s
Let o(v) be the third derivative of -3*v**4/8 + 4*v**2. Let b(a) = a**2. Give o(b(d)).
-9*d**2
Let j(v) = 2*v**2 + 72*v. Let u(c) = -2*c. Give j(u(p)).
8*p**2 - 144*p
Let p(a) = 9*a**2 - 16*a**2 + 2*a**2 + 7*a**2. Let l(t) = 3*t**2. Determine p(l(n)).
18*n**4
Let u(x) = 2*x**2. Suppose m = -2*m - 4*o - 43, -2*m + o = 25. Let w(z) = 5*z + 6. Let k(c) = 11*c + 13. Let f(q) = m*w(q) + 6*k(q). Give f(u(j)).
2*j**2
Let h(f) = -3*f**2. Let w(x) = -x. Let i be w(-3). Let p(n) be the second derivative of 0 + 1/6*n**i + 0*n**2 - 3*n. What is h(p(l))?
-3*l**2
Let p(t) = -2*t**2 + 3*t. Let a(r) = -25*r**2 + 35*r. Let k(j) = -6*a(j) + 70*p(j). Let s(i) = -i. Calculate k(s(z)).
10*z**2
Let v(c) = 11*c**2 - 5*c - 5. Let g(j) = -39*j**2 + 18*j + 18. Let k(m) = -5*g(m) - 18*v(m). Let l(w) = -4*w**2. Give l(k(q)).
-36*q**4
Let n(y) be the first derivative of 11*y**3 + 11. Let d(j) = -4*j. Calculate n(d(l)).
528*l**2
Let v(s) = -3*s**2 + 2. Let q(h) = 4*h**2 - 3. Let l(t) = -2*q(t) - 3*v(t). Let z(g) = -7*g**2. Calculate l(z(y)).
49*y**4
Let i(g) = 8*g**2. Let f(j) = 2*j**2 + j + 1. Let d(q) = -11*q**2 - 6*q - 6. Let c(r) = d(r) + 6*f(r). Calculate i(c(w)).
8*w**4
Let m(x) be the first derivative of -2*x**3/3 + 6. Let c(u) = -26*u - 11. Let b(r) = -9*r - 4. Let f(d) = 11*b(d) - 4*c(d). Give m(f(y)).
-50*y**2
Suppose 1 = -2*a + 3. Suppose -5*f + 9 = -3*r, 16 = 5*f + a. Let p(c) = c**r - c**2 + c**2. Let n(d) = d**2. Calculate p(n(g)).
g**4
Suppose -5*r + d - 4*d = -29, 0 = 3*r - 4*d - 29. Let w(g) = 4*g**2 + r*g**2 + g**2 - 4*g**2. Let k(a) be the second derivative of a**3/6 + a. Give k(w(m)).
8*m**2
Let q(b) = -b**2. Let j(a) be the first derivative of 1/2*a**2 + 3*a - 3. Let u(k) = 4. Let y(i) = -4*j(i) + 3*u(i). What is y(q(d))?
4*d**2
Let t(q) = 4*q**2 + 3 - 2*q**2 - 3. Let m(w) = -6*w. Determine m(t(o)).
-12*o**2
Let a(s) = 0 + 3 - 3 - s**2. Let l(m) = -m**2 - 3*m**2 - 5*m**2 + 6*m**2. What is a(l(g))?
-9*g**4
Let r(u) = -16*u**2. Let g(h) = h. Let b(f) = 3*f**2 - 3*f. Let v(m) = b(m) + 3*g(m). Give v(r(y)).
768*y**4
Let i(q) be the second derivative of q**4/3 + 11*q + 4. Let s(j) = 3*j**2. What is i(s(b))?
36*b**4
Let t(m) = -159*m**2 - 2. Let f(i) = 6*i. Determine t(f(d)).
-5724*d**2 - 2
Suppose 0 = -z + 4*g - 17, -6*z = -z + 4*g - 35. Let m(i) = -z*i**2 + 5*i**2 + 3*i**2. Let t(l) = -2*l**2. Determine t(m(s)).
-50*s**4
Suppose -21*z + 15*z = -12. Let h(f) be the first derivative of 0*f + 4 - 1/3*f**3 + 0*f**z. Let n(k) = k**2. What is h(n(a))?
-a**4
Let f(z) = 2*z. Let o(j) = -4*j + 95. What is o(f(s))?
-8*s + 95
Let p(k) = -4*k. Suppose 4 = -4*b - 0*b. Let q be p(b). Let o(t) = -7*t + 2*t + q*t. Let m(z) = 4*z**2. What is m(o(u))?
4*u**2
Let s(g) = 5*g**2. Let q(n) = 9*n. Let f(h) = -2*h. Let d(a) = -10*f(a) - 2*q(a). What is d(s(x))?
10*x**2
Let o(x) be the first derivative of 5*x**2/2 + 11. Let q(h) = 2*h. What is q(o(l))?
10*l
Let l(k) = 6*k**2. Let s(m) = -4*m**2. Let h(n) = -7*n**2. Let f(g) = 3*h(g) - 5*s(g). Determine f(l(j)).
-36*j**4
Let n(b) = 2*b**2. Let l(x) = -3. Let o(q) = q - 7. Let i(t) = 14*l(t) - 6*o(t). Determine i(n(a)).
-12*a**2
Let h(r) = -98*r. Let f(b) = -7*b**2. Determine f(h(l)).
-67228*l**2
Let i(x) = -2*x**2. Suppose 4*h = -2 - 14. Let z(y) = -4*y. Let u(t) = 5*t. Let c(g) = h*z(g) - 3*u(g). Determine i(c(v)).
-2*v**2
Let n be 2 + 0/(3/(-1)). Let w(a) = n*a + 2*a - 2*a. Let h(r) = -6*r**2. What is h(w(t))?
-24*t**2
Let p(c) be the first derivative of -10*c**3/3 - 2*c + 30. Let k(i) = i**2. Give k(p(a)).
100*a**4 + 40*a**2 + 4
Let r(j) = -8*j + 174. Let m(f) = -2*f. Determine m(r(z)).
16*z - 348
Let n(o) = -o**2. Let v(q) = q**2. Let g(a) = -4*n(a) - 3*v(a). Let k(p) be the first derivative of 2 - 5 - 2 - 2*p**2. Calculate k(g(f)).
-4*f**2
Let s(b) be the second derivative of 1/3*b**3 + 0 - 9*b + 0*b**2. Let f(l) be the third derivative of -l**4/4 - l**2. Determine s(f(h)).
-12*h
Let f(o) = 7*o. Let x(n) = n**2 - 8*n + 8. Let w(t) = t - 1. Let d(l) = -24*w(l) - 3*x(l). Calculate d(f(h)).
-147*h**2
Let c(r) = -19*r. Let t(o) = 13*o. Let s(h) = -5*c(h) - 7*t(h). Let n(k) = -2*k. Give s(n(m)).
-8*m
Let w(a) be the third derivative of -a**5/30 + 8*a**2 - a. Let o(p) = p**2 - 2*p. Determine o(w(i)).
4*i**4 + 4*i**2
Let s(j) = 206 - 3*j - 206. Let l(k) = -2*k**2 + 0*k**2 + k**2. Give s(l(o)).
3*o**2
Let f(u) = -2*u - 9. Let x be f(-6). Let n(v) = -v + 3. Let g be n(x). Let r(w) = -w + w + w + g. Let i(p) = p**2. Calculate i(r(b)).
b**2
Let m(n) = 248*n. Let q(v) = v. Determine q(m(r)).
248*r
Let p(g) = -4*g**2. Let k(t) = 14*t + 8. Let s(v) = -15*v - 17. Let h(n) = 5*n + 6. Let o(q) = 8*h(q) + 3*s(q). Let f(w) = -3*k(w) - 8*o(w). Determine f(p(r)).
8*r**2
Let u(r) = 7*r**2 - 5*r**2 + 7*r**2. Let q(a) = -a + 1. Let h(i) = -3*i + 4. Let g(o) = h(o) - 4*q(o). What is u(g(s))?
9*s**2
Let v(m) = m**2. Let k(y) be the third derivative of 0*y + 0*y**3 + 0 + 1/6*y**4 - y**2. What is v(k(z))?
16*z**2
Let k(q) = -2*q**2. Let y(s) = s + 9. Let w be y(8). Let h(v) = -20*v**2 - w*v**2 + 38*v**2. Give h(k(o)).
4*o**4
Let k(d) = d. Let y(r) be the first derivative of 80*r**3/3 + 31. What is k(y(q))?
80*q**2
Let k(a) = -7*a**2. Let t(l) = -l + 4. Determine k(t(b)).
-7*b**2 + 56*b - 112
Let m(h) be the second derivative of 29*h**3/6 - 19*h. Let j(t) = -t**2. What is m(j(b))?
-29*b**2
Let v = -8 - -18. Suppose o + 3*t = -v - 3, o - t - 7 = 0. Let l(u) = 3*u**2 + 0*u**2 - o*u**2. Let h(i) = -2*i**2. Give l(h(n)).
4*n**4
Let d(l) = -24*l + 1. Let x(y) = -121*y + 4. Let a(c) = 11*d(c) - 2*x(c). Let s(g) = g**2. Determine a(s(h)).
-22*h**2 + 3
Suppose 3*p - 24 = -4*l, 4*l - p = -3*p + 28. Let c(q) = l - 9 - 7*q**2. Let g(u) = u. What is g(c(m))?
-7*m**2
Let f(s) = -2*s**2 + 8 - 8. Let x(q) = -2*q**2. What is x(f(h))?
-8*h**4
Let v(f) = 2*f**2. Let a(m) be the first derivative of -16*m**3/3 - 9. Determine a(v(l)).
-64*l**4
Let f(a) = -84*a - 35. Let d(u) = -5*u - 2. Let n(o) = 35*d(o) - 2*f(o). Let w(i) = i. What is w(n(y))?
-7*y
Let r(v) = -2*v**2. Let m(p) = 3*p**2 + 16*p. Calculate m(r(h)).
12*h**4 - 32*h**2
Let v(w) = -2*w**2. Let p(h) be the second derivative of h**3 - 3*h**2 - 30*h. What is p(v(l))?
-12*l**2 - 6
Let d(k) = -k**2. Let g = 33/8 - 49/12. Let o(r) be the third derivative of g*r**4 + 0 - r**2 + 0*r + 0*r**3. Calculate d(o(a)).
-a**2
Suppose 2*w + 4*g + 12 = 0, 2*w + 3*w = -3*g + 5. Let z(f) = -f. Let n(q) = 3*q. Let m(t) = w*z(t) + 2*n(t). Let a(d) = -2*d**2. Give m(a(h)).
-4*h**2
Let f(d) = 2*d**2 - 26. Let j(x) = -7*x**2. What is j(f(n))?
-28*n**4 + 728*n**2 - 4732
Let s(m) = -962*m**2. Let k(u) = -3*u**2. What is s(k(q))?
-8658*q**4
Let l(o) = 4*o**2 + 2*o**2 - 7*o**2. Let c(s) be the second derivative of -5*s**3/6 - 10*s. Calculate l(c(r)).
-25*r**2
Let u(n) = -19*n**2. Let q(g) = 14*g - 2. What is q(u(a))?
-266*a**2 - 2
Let x(r) = -4*r. Let p(i) = -15*i. Let f(t) = 6*p(t) - 22*x(t). Let k(l) = 13*l**2. What is f(k(h))?
-26*h**2
Let k(x) = -x**2 - 2*x. Let h(q) = q. Let w(t) = 2*h(t) + k(t). Let y(z) = -11*z**2. Calculate w(y(b)).
-121*b**4
Let t(a) = 1047*a + 5. Let q(f) = -f. What is t(q(j))?
-1047*j + 5
Let j(c) = 3*c - 3. Let n(l) = -45*l - 1. Determine n(j(m)).
-135*m + 134
Let a(s) = -4*s**2. Let f(b) = 11*b - 3. Calculate f(a(n)).
-44*n**2 - 3
Let p(k) = k. Let l(g) be the second derivative of -4*g + 0*g**2 + 1/2*g**4 + 0 + 0*g**3. Calculate p(l(m)).
6*m**2
Let y(m) = -23*m + 4. Let b(t) = 2*t. Calculate b(y(x)).
-46*x + 8
Let g(b) be the third derivative of -4*b**5/15 - 10*b**2. Let i(m) = 3*m**2 - m**2 - 3*m**2. Give i(g(h)).
-256*h**4
Let c(u) = u**2 + 10. Let v(j) = 2*j. Calculate v(c(l)).
2*l**2 + 20
Let g(d) be the second derivative of -3*d + 0 + 1/3*d**3 + 0*d**2. Let v(k) = -2*k**2. What is v(g(w))?
-8*w**2
Let y(v) = -v. Let c(a) be the third derivative of -a**6/144 - a**4/24 - 2*a**2. Let h(s) be the second derivative of c(s). Give y(h(t)).
5*t
Let p(u) = -3*u**2. Let o(q) = -4*q**2 + 11*q**2 - 12*q**2. Determine p(o(i)).
-75*i**4
Let h(t) = 2*t. Let v(y) = 0*y + 0*y - 2*y. Determine v(h(q)).
-4*q
Let l(g) = g**2. Let c = 5 + -2. Let s(d) = 2*d + 3*d - c*d. Give l(s(m)).
4*m**2
Let t(f) = 34*f**2. Let c(d) = 2*d**2 + 17*d. Determine c(t(h)).
2312*h**4 + 578*h**2
Let a(h) = h + h - 4*h. Let i(n) = -15*n**