 - 1. Determine p(u(m)).
-13824*m**2 + 576*m - 5
Let o(r) be the third derivative of -r**5/30 - r**2. Let n(x) = -2*x - 11*x + 9*x. Give o(n(i)).
-32*i**2
Let p(l) = -2*l**2. Let m(a) = 1485*a. Give p(m(n)).
-4410450*n**2
Let z(x) be the first derivative of x**3/3 - 2. Let g(k) = -8*k. Give g(z(y)).
-8*y**2
Let i(r) = -r**2. Let d(q) = -64*q**2 + 2*q. Calculate d(i(m)).
-64*m**4 - 2*m**2
Let a(j) = -3*j**2 - 2. Let i(b) = 14*b**2 - 3*b. Calculate i(a(m)).
126*m**4 + 177*m**2 + 62
Let l(x) = -2*x**2. Let i(p) be the first derivative of 10*p**3/3 - 14. Give i(l(o)).
40*o**4
Let c(o) = 2*o**2. Let v(g) = 7*g**2 - 2*g**2 - 9*g**2. What is v(c(j))?
-16*j**4
Let g(w) = 59*w**2. Let j(x) = 11*x**2. Give j(g(k)).
38291*k**4
Let i(h) = -13*h**2 - 18 + 8 + 10. Let o(d) = 3*d. What is i(o(y))?
-117*y**2
Let t(l) = -l**2 - 1. Let o(y) = 7*y**2 + 4. Let q be 16/(-12)*1*-3. Let s(n) = q*t(n) + o(n). Let k(w) = 3*w**2. Give k(s(x)).
27*x**4
Let u(r) = -3433*r. Let m(w) = -w. Determine u(m(g)).
3433*g
Let j(y) be the third derivative of y**6/180 + y**3/2 + y**2. Let t(h) be the first derivative of j(h). Let z(o) = -o**2. What is z(t(l))?
-4*l**4
Let u(b) = 5*b + 3. Let c(x) = 19*x - 2. Calculate c(u(s)).
95*s + 55
Let b be ((-2 - -1) + 0)*-2. Suppose 5*v + 3*t + 10 = 31, 27 = b*v - 5*t. Let z(c) = -2*c + 6 - v. Let g(x) = -4*x. Calculate z(g(p)).
8*p
Let b(o) = -o - 2. Let x(m) = 4*m + 9. Let k(z) = 18*b(z) + 4*x(z). Let c(l) = 4*l**2. What is k(c(y))?
-8*y**2
Let v(m) = -9*m**2 + 2*m. Let y(u) = 29*u. What is y(v(q))?
-261*q**2 + 58*q
Let c(f) = f**2 + 53*f. Let t(b) = -30*b**2. Determine c(t(r)).
900*r**4 - 1590*r**2
Let h(b) = -4*b - 3. Let l(t) = -17*t - 13. Let r(d) = 26*h(d) - 6*l(d). Let v(u) = -3*u + 5. Give v(r(f)).
6*f + 5
Let k(u) = -u. Let y(i) = 10*i. Suppose 2*x + 3*x + 2 = 2*b, 4*x = 5*b - 5. Let d(l) = b*y(l) + 5*k(l). Let m(r) = 2*r**2. Determine d(m(a)).
10*a**2
Let f(p) = 9*p**2 + 3. Let n(t) = 2*t**2 + 6*t. Let b(i) = -i**2 - 4*i. Let r(j) = -3*b(j) - 2*n(j). Give r(f(k)).
-81*k**4 - 54*k**2 - 9
Let w(u) = -3*u. Let d(a) = -2*a. Let v(g) = 4*g. Let s(f) = 3*d(f) + v(f). Calculate w(s(i)).
6*i
Let i(d) be the second derivative of -2*d**3/3 + 7*d. Let l(q) = -3*q**2. Calculate l(i(b)).
-48*b**2
Let c(m) = 442*m. Let x(a) = 2*a. Give c(x(o)).
884*o
Let d be (-1)/2 + 6/(-12). Let o be (d - 1) + 0 + 2. Let t(i) = o + i**2 + 0. Let y(h) = h. Give t(y(w)).
w**2
Let w be -7 + 11 + (-1 - 3). Let m(c) be the first derivative of 0*c**2 + 1 + w*c + 1/3*c**3. Let q(y) = 2*y**2. Calculate m(q(d)).
4*d**4
Let j(k) = -55*k - 6*k**2 + 28*k + 27*k. Let q(p) = p. What is j(q(u))?
-6*u**2
Let a(p) = -3*p + 13. Let f(b) = -b**2. Determine f(a(r)).
-9*r**2 + 78*r - 169
Let t(j) = -43*j. Let m(v) = -2*v**2. Calculate m(t(w)).
-3698*w**2
Let c(o) = -3*o - 239. Let u(t) = t**2. What is c(u(q))?
-3*q**2 - 239
Let f(q) = 2*q**2 + 117. Let c(p) = -16*p. Determine f(c(s)).
512*s**2 + 117
Let f(l) = 15*l**2. Let n(p) = 2*p**2. Calculate f(n(b)).
60*b**4
Let t(r) be the second derivative of -9*r**4/4 + 5*r. Let j(m) = -2*m**2. Determine t(j(s)).
-108*s**4
Let h(f) = 2*f. Let v(o) = 12*o + 16*o - 29*o. Calculate h(v(t)).
-2*t
Let i(c) = -c**2 + 62. Let h(v) = -2*v. What is i(h(o))?
-4*o**2 + 62
Let s(x) = 9*x. Let n(v) = 33*v - 8. Give n(s(k)).
297*k - 8
Let f(w) = -w. Let i(n) = 13*n + 8*n - 3*n. Determine i(f(q)).
-18*q
Let q(s) be the first derivative of -19*s**2/2 + 10. Let y(w) = 2*w. Give q(y(f)).
-38*f
Let q(v) = -40*v**2. Let x(f) = -4*f**2 + 3*f - 3. Let a(m) = -17*m**2 + 13*m - 13. Let z(k) = -6*a(k) + 26*x(k). Give z(q(h)).
-3200*h**4
Let r(q) = -73*q**2. Let a(j) = -2*j. What is a(r(m))?
146*m**2
Let q(h) = -6*h. Let v(y) = -y**2 + y. Let a = 24 - 23. Let x(o) = -2*o**2 + o. Let j(c) = a*v(c) - x(c). What is j(q(m))?
36*m**2
Let n be 2/(3 - 1) + 0. Suppose -m = -n - 1. Let h(u) = 9*u**2 - 6*u**m + u - u. Let k(c) = -2*c**2. What is h(k(l))?
12*l**4
Let h(z) = -2*z**2. Let j(l) = 39*l + 4. Let m(d) = 40*d + 5. Let k(p) = -5*j(p) + 4*m(p). Determine k(h(t)).
70*t**2
Let c(n) = -n**2. Let u(y) = y**2 - 498. Determine u(c(b)).
b**4 - 498
Let d(y) = -y**2. Let j(b) = -4189*b**2. Give j(d(n)).
-4189*n**4
Let f(d) = -22*d. Let h(l) = 209*l**2. What is h(f(k))?
101156*k**2
Let b(g) = -4*g**2. Let c(v) = 265*v. Determine c(b(f)).
-1060*f**2
Suppose 2*c + 4 = -4*p, -3*c - 4*p = -0*p. Suppose z + g = 2, 4*g = -4*z + 2*z + 8. Let i(k) = -2*k + c*k + z*k. Let u(j) = -j. Calculate u(i(w)).
-2*w
Let j(i) be the first derivative of 3*i**2/2 + 11. Let f(g) = -2*g**2. Determine j(f(u)).
-6*u**2
Let p(w) = 10*w**2 + 16. Let h(k) = -3*k**2 - 5. Let z(d) = 16*h(d) + 5*p(d). Suppose 0*m + 2 = m. Let s(g) = g - g + m*g. Give z(s(u)).
8*u**2
Let g be (3 + -2)*(-2 + 7). Let l be (0 - -2)*(1 + 0). Let h(t) = -t**l + 5*t - g*t. Let a(j) = -2*j**2. Calculate h(a(k)).
-4*k**4
Let n(a) = 2*a**2. Let s(i) = -i**3 + 2*i**2 + 2*i - 1. Let l be s(-2). Let m(o) = -24 + o + l + 13. Give n(m(c)).
2*c**2
Let h(f) = -33*f. Let b(d) = -2*d**2 + 71 - 71. Calculate h(b(w)).
66*w**2
Let u(m) be the third derivative of m**4/12 + 11*m**2 - 3*m. Let k(o) be the second derivative of -5*o**4/6 + o. Determine k(u(x)).
-40*x**2
Let s(x) = -3*x**2. Let h = -4 - -6. Let p(l) = -h*l**2 + 3*l**2 + 2*l**2. Calculate s(p(j)).
-27*j**4
Let v(m) be the second derivative of -1/4*m**4 + 0*m**3 + 0*m**2 - m + 0. Let j(k) = k**2 + 0*k**2 + 0*k**2. What is j(v(y))?
9*y**4
Let n(t) = 2*t. Let x be -1*(-1*6)/(-3). Let g be (-2)/2*(-1 - 0). Let b(r) = 5*r**2 + 2. Let l(d) = 1. Let j(s) = g*b(s) + x*l(s). Calculate j(n(o)).
20*o**2
Let j(i) = -i**2. Suppose 0 = h - 4*h + 9. Let w(l) = -4*l**2 - h*l**2 + 2*l**2 + 2*l**2. Give j(w(d)).
-9*d**4
Let j(f) = 8*f. Let z(s) = -4*s - 12*s - s. Let w(l) = -13*j(l) - 6*z(l). Let i(g) = 5*g. Let v(d) = -d. Let o(k) = -i(k) - 6*v(k). What is o(w(q))?
-2*q
Let l(h) = 16*h. Let m(n) = -1 + 5*n**2 + 0 - 4*n**2. Let i(c) = 2*c**2 - 4. Let v(w) = i(w) - 4*m(w). Determine v(l(a)).
-512*a**2
Let u(g) be the second derivative of 5*g**3/6 - 3*g. Let t(d) = -2*d. Give u(t(k)).
-10*k
Let p(t) = 7*t + 4. Let i(d) = 15*d**2. Determine i(p(m)).
735*m**2 + 840*m + 240
Let m(v) = -v. Let k(g) = 2*g. Let n(z) = 3*k(z) + 8*m(z). Let l(j) be the second derivative of -j**4/3 - 2*j. Calculate l(n(o)).
-16*o**2
Let l(w) = 2*w. Let k(t) = -t + 11*t - 9*t. Let m(a) = -3*a. Let f(c) = -5*k(c) - m(c). What is f(l(j))?
-4*j
Let y(g) be the second derivative of -g**4/6 + 2*g. Let p(d) be the first derivative of 3*d**2 - 4. Calculate p(y(a)).
-12*a**2
Let m(q) = -2*q**2. Suppose -z + 5*s - 6 = -27, 4*s + 11 = -5*z. Let k(a) be the first derivative of 0*a - z - 1/2*a**2. What is k(m(c))?
2*c**2
Let m(h) = -h**3 - 5*h**2 - 3*h - 6. Let d be m(-4). Let l(s) = 7*s**2. Let u(x) = -3*x**2. Let q(z) = d*u(z) - 4*l(z). Let g(p) = 3*p. What is q(g(r))?
18*r**2
Let r(i) = i**2 - 30. Let x(b) = -8*b. What is r(x(j))?
64*j**2 - 30
Let w(o) = 2*o**2. Let m(d) = 10*d. Calculate w(m(v)).
200*v**2
Let q(i) = -6*i**2. Let p(r) be the third derivative of -r**5/60 + 22*r**2. Determine q(p(h)).
-6*h**4
Let w(f) = -6*f. Let r = -3 + 5. Let h(x) = -x + r*x + 2*x - 5*x. Give w(h(p)).
12*p
Let v(l) = 2*l. Let f(d) = 184*d**2. Give f(v(i)).
736*i**2
Let r(a) = -19*a**2. Let j(l) = 75*l. Give j(r(h)).
-1425*h**2
Let a(r) be the first derivative of r**2 + 1. Let l(q) = 14*q. Let w(f) = 5*f. Let p(b) = -6*l(b) + 17*w(b). Calculate a(p(g)).
2*g
Let d(c) = 2*c**2 + 39*c. Let m(n) = 3*n**2. Calculate m(d(i)).
12*i**4 + 468*i**3 + 4563*i**2
Let z(g) = -g. Let p(f) be the third derivative of f**4/24 + f**2. Determine p(z(y)).
-y
Let u(o) = -o. Let h(r) = -10*r. Suppose -m = -2*y - 6, -2*m = -m - 3*y - 10. Let b(f) = 11*f. Let a(q) = m*h(q) - 3*b(q). Give u(a(p)).
13*p
Let g(j) = j - 3. Let f(b) = -2*b + 8. Suppose -2*n - 6 = -0. Let z(v) = n*f(v) - 8*g(v). Let u(x) = 7*x. Give u(z(p)).
-14*p
Let j(g) = -g - 86. Let y(x) = x**2 - 49. Give y(j(o)).
o**2 + 172*o + 7347
Let t(j) = -j**2. Let h = 1 + 0. Suppose 25 = 3*o + 5*z, -h = o - z - 4. Let c(p) = -o*p + 4*p - p. Calculate t(c(u)).
-4*u**2
Let t(g) = -10*g**2. Let h(v) = -22*v**2. Give t(h(z)).
-4840*z**4
Let g(w) be the second derivative of -w**4/4 + w. Let r(l) = -6*l**2. Determine r(g(f)).