 3. Calculate i(k(b)).
-144*b**2 - 3
Let r(f) = 2*f**2 - 4*f**2 - 4*f**2. Let t(z) = -9*z + 4*z + 3*z. Determine t(r(x)).
12*x**2
Let t(w) = -2*w**2. Let c(d) be the third derivative of 0 + 0*d**3 + d**2 + 0*d**4 + 0*d + 1/30*d**5. Determine c(t(m)).
8*m**4
Let r(y) be the first derivative of -11*y**6/360 + 4*y**3/3 + 9. Let k(n) be the third derivative of r(n). Let x(s) = -s**2. Calculate k(x(j)).
-11*j**4
Let c(v) = -6*v. Let x(p) = 21*p. Let t(a) = 18*c(a) + 5*x(a). Let o(g) = 12*g**2 + 11. Let l(h) = -h**2 - 1. Let j(k) = -22*l(k) - 2*o(k). What is t(j(m))?
6*m**2
Let h(q) = 5*q**2. Let c(w) = -13*w**2 + w. Give h(c(z)).
845*z**4 - 130*z**3 + 5*z**2
Let w(l) = 6*l**2. Suppose 2*u + u = 15. Suppose -u*o + 0*n = -n + 1, -o + 2*n = 2. Let t(b) = o + 5 + b - 5. Determine t(w(j)).
6*j**2
Let w(i) = -i - 2. Let a(r) = 3*r + 4. Let o(h) = a(h) + 2*w(h). Let l(v) = -1 + 1 - 5*v. What is l(o(g))?
-5*g
Let p(d) = d + d - d + 0. Let x(h) be the third derivative of 1/8*h**4 - 2*h**2 + 0 + 0*h + 0*h**3. Calculate p(x(m)).
3*m
Let k(w) = -341*w. Let v(i) = -66*i**2. Calculate v(k(d)).
-7674546*d**2
Let w(h) = -3*h**2 + 5*h - 5. Let v(b) = 2*b**2 - 4*b + 4. Let f(o) = -5*v(o) - 4*w(o). Let d(i) be the first derivative of -i**2 + 2. Determine f(d(r)).
8*r**2
Let k(g) = g**3 + 6*g**2 + 2. Let w be k(-6). Let c(r) = r**2 + 0*r**2 - 4*r**w. Let m(d) be the first derivative of -2*d**3/3 - 9. What is c(m(n))?
-12*n**4
Let l(h) = -64 + 125 - 4*h - 61. Let u(g) = -14*g. Calculate u(l(y)).
56*y
Let b(r) = -2673*r**2. Let j(z) = -z. Determine j(b(d)).
2673*d**2
Let a(x) = 4*x - 6. Let b(i) = 3*i. Determine b(a(n)).
12*n - 18
Let f(d) = 2*d**2. Suppose 0 = 2*b - 6*b - 16. Let y be (10/6)/(b/(-12)). Let v(w) = y*w - w - 3*w. Calculate f(v(p)).
2*p**2
Let o(u) = 2*u. Let j(a) = -3*a**2 - 6*a + 6. Let x(d) = -9*d**2 - 17*d + 17. Let f(h) = -17*j(h) + 6*x(h). Give o(f(s)).
-6*s**2
Let m be 1/((-5)/(-2))*5. Let u(d) = d**m - d**2 - d**2. Let c(l) be the third derivative of l**4/12 + 4*l**2. Determine c(u(s)).
-2*s**2
Let a be (2/4)/((-1)/(-4)). Suppose 2*b + 3*l + 0*l = -6, a*b - l = 10. Let k(q) = 4*q + b*q**2 - 4*q. Let n(u) = -u. Calculate k(n(i)).
3*i**2
Let z(r) = -2473*r + 1 + 2469*r - 1. Let k(o) = -o**2. Determine k(z(s)).
-16*s**2
Let g(q) = 68*q. Let c(t) = 31*t. Give g(c(u)).
2108*u
Let c(f) = 70*f**2 + 2. Let w(s) = -2*s. Give c(w(y)).
280*y**2 + 2
Let g(y) = -13 - 4*y + 2*y + 13. Let h(v) = 17*v. What is g(h(m))?
-34*m
Let r(d) = 8*d + 6. Let m(v) = -23*v - 17. Let q(s) = 6*m(s) + 17*r(s). Let i(w) = 12*w. What is i(q(x))?
-24*x
Let s(h) = -5*h. Let m be (-20)/8*(-6)/5. Let c(g) = 3*g + g - m*g - 3*g. What is s(c(l))?
10*l
Let l(a) = 9*a. Let t(b) = 1174*b**2. Calculate l(t(j)).
10566*j**2
Let g(v) = -2*v - 3. Let t(a) = -a - 2. Let l(r) = -2*g(r) + 3*t(r). Let k(i) = -20*i**2. Give l(k(w)).
-20*w**2
Let u(x) = -8*x**2 - 2. Let v(h) = -25*h - 16*h + 43*h. Give v(u(c)).
-16*c**2 - 4
Let f(i) be the third derivative of -i**4/12 + 3*i**2. Let w(l) = -6*l. Calculate w(f(t)).
12*t
Let c(b) = -6*b. Let p(j) = -567*j**2. Calculate c(p(l)).
3402*l**2
Let l(d) = -3*d**2. Let a(x) = -6*x. Determine l(a(h)).
-108*h**2
Suppose -4*s = -o - 4*o + 18, 5*o - 3*s = 16. Let i(u) = 36 - 36 - u**o. Let l(g) = 3*g. What is i(l(q))?
-9*q**2
Let h(m) = 5181 - 5181 + 14*m**2. Let b(i) = i. Calculate b(h(s)).
14*s**2
Let t(q) = -5*q. Let x(p) = 7144*p**2. Give x(t(d)).
178600*d**2
Let p(g) = g**2 - 2*g**2 - g**2. Let u(a) be the first derivative of -2*a**2 - 123. Calculate u(p(k)).
8*k**2
Let b(p) = 176*p**2. Let c(k) = 12*k**2. What is c(b(i))?
371712*i**4
Let s(n) = -4*n**2. Suppose -3*l + 8*l = 0. Let k(b) = -b + b - b + l. Determine s(k(j)).
-4*j**2
Let y(o) = -6*o**2 + 2*o - 2*o + 0*o**2. Let d(z) = -z. What is y(d(m))?
-6*m**2
Let s(i) = -2*i - 2. Let d(m) = m**2 - 3*m + 3 + 3*m + 3*m. Let a(l) = 2*d(l) + 3*s(l). Let t(b) be the second derivative of b**3/6 - b. Determine a(t(r)).
2*r**2
Let m(q) = 3239*q. Let s(f) = -f**2. Determine m(s(o)).
-3239*o**2
Let z(s) = 4*s - 3*s + 3*s - 3*s. Let p(q) = -2*q**2 - 3*q - 3. Let t(k) = 4*k**2 + 7*k + 7. Let d(i) = -7*p(i) - 3*t(i). Calculate z(d(u)).
2*u**2
Let j(t) = t + 0*t - 2*t. Let s(l) = -5*l**2 - 9*l - 9. Let x(k) = -k**2 - 2*k - 2. Let p(q) = -2*s(q) + 9*x(q). Calculate j(p(w)).
-w**2
Let n(h) = -205*h. Let l(q) = -50*q**2. What is n(l(t))?
10250*t**2
Let r(y) = -4735*y + 8*y**2 + 4735*y. Let w(d) be the third derivative of -d**5/30 + 2*d**2. Determine r(w(n)).
32*n**4
Let z(j) = j. Let h(i) = -34*i - 7*i - 36*i - 4*i. Determine h(z(t)).
-81*t
Let s(n) = 7*n. Let y(l) = -8*l. Let i = -46 - -52. Let m = 1 - -6. Let g(d) = i*y(d) + m*s(d). Let h(t) = -2*t. Determine h(g(v)).
-2*v
Let x = 12 - 5. Let w(o) = -3 - x*o + 3. Let g(s) be the first derivative of -s**2/2 + 42. Give g(w(j)).
7*j
Let d(o) = o. Let h(p) = -67*p. Calculate d(h(f)).
-67*f
Let v(t) = -2*t**2 - 6. Let a(f) = -2*f**2 - 5. Let s(x) = 6*a(x) - 5*v(x). Let z(b) = -3*b. Give s(z(p)).
-18*p**2
Let t(u) = 20*u. Let p(o) = -31*o. Give t(p(v)).
-620*v
Let l(w) = 1 + 1336*w - 1 - 1338*w. Let k(a) = -5*a**2. Let n(q) = -9*q**2. Let p(j) = 7*k(j) - 4*n(j). Give p(l(h)).
4*h**2
Let q(m) = 3*m. Let d(v) = 92*v + 2. Give q(d(x)).
276*x + 6
Let o(f) = 5*f**2 + 4. Suppose y + 6 = 4*y. Let l(r) = -9*r**y - 9 + 0 - 2*r**2. Let k(a) = -4*l(a) - 9*o(a). Let s(p) = 3*p. Determine s(k(t)).
-3*t**2
Let g(c) = 10*c. Let p(n) be the second derivative of -7*n + 0 + 0*n**2 + 1/3*n**3. Give p(g(h)).
20*h
Let i(v) = -2*v + 2375. Let f(l) = -2*l**2. Give f(i(x)).
-8*x**2 + 19000*x - 11281250
Let a(f) = f. Let d = -2 + 4. Let l(g) be the third derivative of -1/12*g**5 + 0*g + 0*g**4 + 0 - g**d + 0*g**3. Determine a(l(w)).
-5*w**2
Let m(g) = -3*g**2. Let h(a) = 2*a - 31. Give m(h(u)).
-12*u**2 + 372*u - 2883
Let o(s) = 2*s + 188 - 188. Let a(c) = -c**2. Determine o(a(n)).
-2*n**2
Let g(j) = 57*j. Let s(a) = 99*a**2. Determine g(s(n)).
5643*n**2
Let c(a) = -2*a**2. Let o(n) = -144*n + 2. Give o(c(b)).
288*b**2 + 2
Let x(j) = -2*j**2. Let n(v) be the second derivative of 3*v + 0*v**2 + 0*v**3 + 0 + 1/6*v**4. Determine n(x(b)).
8*b**4
Let v(n) = -n**2 - n + 1. Let h(u) = -6*u**2 - 12*u + 12. Let c(k) = h(k) - 12*v(k). Let j(r) be the third derivative of r**4/12 - 2*r**2. Determine c(j(w)).
24*w**2
Let z(f) = 10*f - 103. Let c(r) = 2*r**2. Calculate c(z(u)).
200*u**2 - 4120*u + 21218
Let t(s) = s. Suppose 0 = 2*o + o + u - 163, o = 4*u + 76. Let v be ((-1)/2)/((-4)/o). Let z(c) = -3*c**2 - c**2 + v*c**2. What is z(t(h))?
3*h**2
Let m(v) = -35*v. Let b(n) = -3*n**2. Determine m(b(f)).
105*f**2
Let d(s) = -2 + 2*s + 0 + 2. Let j(f) = 2*f**2. Determine j(d(z)).
8*z**2
Let d(z) = -9*z**2. Let a(u) = -4*u**2 + 5*u + 5. Let h(f) = -2*f**2 + 2*f + 2. Let s(j) = -2*a(j) + 5*h(j). What is s(d(y))?
-162*y**4
Let z(h) = h. Let j(y) = y**3 - 4*y**2 - 5*y + 2. Let s be j(5). Suppose -s*u + 0 = -4. Let p(g) = 3 + g**u - 3. Determine z(p(o)).
o**2
Let w(l) = -8*l**2 - 6*l - 6. Let r(y) = y**2 + y + 1. Let j(t) = 6*r(t) + w(t). Let d(q) = 4 - 6*q + 3*q - 4. Calculate j(d(m)).
-18*m**2
Let l(i) = i**2. Let g(c) be the third derivative of c**7/1260 + c**4/6 + 2*c**2. Let h(v) be the second derivative of g(v). Determine h(l(y)).
2*y**4
Let k = -13 + 33. Let z(l) = 2*l**2 + k*l - 20*l. Let u(m) = 4*m**2. Calculate z(u(c)).
32*c**4
Let u(l) = l. Let o(y) = -2*y**2 - 3*y. Let r(z) = z**2 + 4*z. Let i(p) = 4*o(p) + 3*r(p). Determine u(i(d)).
-5*d**2
Let l(t) = -2*t. Let m(b) = -10*b**2 + 6*b. Calculate m(l(v)).
-40*v**2 - 12*v
Let k(z) be the first derivative of -1/12*z**4 + 0*z**2 - z + 2 + 0*z**3. Let j(y) be the first derivative of k(y). Let l(m) = -3*m. Give j(l(a)).
-9*a**2
Let r(j) = 10*j. Let u(d) = -5*d. Let b(i) = 26*i. Let q(a) = 2*b(a) + 11*u(a). Determine r(q(v)).
-30*v
Let n(m) = 3*m. Let l(y) = -9*y + 1. Calculate l(n(c)).
-27*c + 1
Let j(s) = 2*s. Let m(t) be the third derivative of -t**5/30 + 20*t**2. What is m(j(r))?
-8*r**2
Let r(y) = -y**2 + y - 1. Let q(p) = 5*p**2 - p + 1. Let k(j) = q(j) + r(j). Let s(m) = 8*m**2. Give s(k(z)).
128*z**4
Let w(q) = -q**2 + 1. Let m(i) = 3*i**2 - 2. Let n(b) = -m(b) - 2*w(b). Let l(t) = -2*t**2 - 6*t**2 + 9*t**2. Determine l(n(s)).
s**4
Let j(t) be the third der