?
-2768*m**4
Let d(x) be the first derivative of -3*x**2/2 - 5. Let y(v) be the second derivative of -2*v - 5/12*v**4 + 0*v**3 + 0 + 0*v**2. Calculate y(d(f)).
-45*f**2
Let f(j) = -18*j + 39*j - 22*j. Let q(r) be the second derivative of r**6/72 - r**3/6 + r. Let h(g) be the second derivative of q(g). Determine f(h(y)).
-5*y**2
Let w(f) = -2*f**2 - 61*f + 47. Let u(g) = g + 1. Give u(w(b)).
-2*b**2 - 61*b + 48
Let s(n) = -11*n. Let y(m) = 288*m**2 - 16. Calculate y(s(r)).
34848*r**2 - 16
Suppose 4*m + 158 - 4302 = 0. Let z(t) = 1036*t - m*t + 7*t**2. Let u(g) = 2*g. Calculate u(z(c)).
14*c**2
Let l(t) = 3*t - 3*t + 2*t**2. Let z(r) = 24*r**2 + 8*r**2 + 90*r - 12*r**2 - 88*r + 5*r**2. Give z(l(s)).
100*s**4 + 4*s**2
Let y(f) = -52035*f**2. Let x(a) = 4*a. Give y(x(u)).
-832560*u**2
Let o(j) = -j - 6. Let n(w) = 2*w - 10. Let t(l) = 3*l - 12. Let k(z) = -6*n(z) + 5*t(z). What is o(k(g))?
-3*g - 6
Let v(s) = 62*s + 55*s - 120*s. Let a(h) = 103*h**2. Give a(v(l)).
927*l**2
Let v(b) = -30067*b. Let i(n) = 24*n. Give v(i(w)).
-721608*w
Let o = -29 + 29. Let m(u) = o*u + u + u. Let p(j) = 14*j**2 - 11*j - 11. Let z(d) = -5*d**2 + 4*d + 4. Let r(s) = -4*p(s) - 11*z(s). Determine m(r(g)).
-2*g**2
Let o(a) = -a. Let u(x) = 212*x**2 - 54. Calculate u(o(d)).
212*d**2 - 54
Let k(p) = -p. Let z(r) = -6569*r + 4. Give k(z(j)).
6569*j - 4
Let b(s) = 264*s. Let j(d) = -121*d. Calculate b(j(z)).
-31944*z
Let v(j) be the third derivative of j**4/12 - j**2. Let g(h) = -16543 + 16543 + h**2. Determine g(v(k)).
4*k**2
Let i(o) = -o - 82679. Let g(u) = -u. Give g(i(w)).
w + 82679
Let i(r) = r**2. Let h(s) = -6 + 0 + 6 + 55*s. Determine h(i(t)).
55*t**2
Let a(u) = u. Let o(t) = -24 - 32 + 56 + 164*t**2. Determine o(a(h)).
164*h**2
Let x(q) = 14*q - 1. Let v(y) = -3119*y. What is x(v(s))?
-43666*s - 1
Let q(i) = -21 + 21 - 3*i + 0*i. Let r(u) = 9*u**2 - 8*u**2 + 3 - 3. Calculate q(r(a)).
-3*a**2
Let o(v) = 32*v - 46. Let q(t) = -51*t + 69. Let k(x) = -8*o(x) - 5*q(x). Let c(r) = -r. Calculate k(c(p)).
p + 23
Let t(m) = 1391*m**2. Let z(h) = -h. What is t(z(r))?
1391*r**2
Let f(v) = 3*v**2. Let x(a) = 7*a. Let o(m) = -m**2 - 5*m + 1. Let r be o(-5). Let g(c) = -1 - c + r + 2*c. Let b(u) = -4*g(u) + x(u). Give f(b(n)).
27*n**2
Let u(k) = -105*k + 1. Let h(d) = -2*d - 11. Determine u(h(n)).
210*n + 1156
Let b(h) = 5*h**2 + 12*h. Let z(m) = -m**2 - 4*m. Let d(j) = b(j) + 3*z(j). Let f(k) = 40*k**2. What is d(f(i))?
3200*i**4
Let g(q) = 5 - 4 - 2 - 3*q + 1. Let z(t) = -14*t**2 - 1. Give g(z(r)).
42*r**2 + 3
Let p(f) = -3*f**2 + 4. Let y(i) = 4 - 211*i**2 + 213*i**2 - 4. Calculate p(y(k)).
-12*k**4 + 4
Let b(g) = -g**2 + 10*g. Let m(l) = l + 54. Let d(f) = -f - 24. Let n(a) = 9*d(a) + 4*m(a). What is n(b(y))?
5*y**2 - 50*y
Suppose -85 - 62 = -3*c. Let p(n) = -c + 49 + 8*n. Let z(s) = 2*s. Give z(p(k)).
16*k
Let q(l) = -3*l - 3*l - 3*l + 8*l + 0*l. Let u(w) = -20*w + 6. Determine u(q(t)).
20*t + 6
Let n(i) = -11*i. Let p(s) = -4*s + 8*s - 9*s - s. Determine p(n(k)).
66*k
Let t(d) = 2*d**2. Let f(k) = 159*k - 444*k + 3 + 204*k. Determine t(f(v)).
13122*v**2 - 972*v + 18
Let b(h) = 4*h + 5*h - 5*h. Let y(a) be the third derivative of a**5/60 - 2*a**2 + 435*a. Determine y(b(c)).
16*c**2
Let p(f) = 104*f. Let a(u) = -u**2 - 2*u + 6. Let b(d) = -2*d**2 - 3*d + 9. Let c(o) = 3*a(o) - 2*b(o). Determine p(c(z)).
104*z**2
Let l(v) = 5*v + 2*v - v. Let y(u) = -u**3 + 5*u**2 + 6*u + 1. Let j be y(6). Let i(c) = -10*c - 1 + 8*c + j. What is l(i(t))?
-12*t
Let c(y) = -5808*y. Let x(f) = -132*f**2. What is c(x(j))?
766656*j**2
Let q be 2/(-8) - (-17)/4. Let a(w) = q*w + w - 3*w. Let o(j) = 7*j + 11*j**2 - 7*j - 9*j**2. Determine a(o(s)).
4*s**2
Let s(i) = -3*i**2. Suppose 4*p = -u - 1, 2*u + 6 = u + p. Let k(q) = 4*q. Let l(h) = 4*h. Let a(d) = u*k(d) + 4*l(d). What is a(s(m))?
12*m**2
Let n(x) = 3*x + 2*x + 25*x - 32*x. Let t(m) = -m**2 - 1. Let h(k) = 28*k**2 + 2. Let g(b) = -h(b) - 2*t(b). Determine n(g(r)).
52*r**2
Let k(p) = 2*p**2 + 108*p. Let j(t) = -2*t**2 + 45. Let z(f) = 2*f**2 - 60. Let d(g) = 4*j(g) + 3*z(g). Determine k(d(o)).
8*o**4 - 216*o**2
Let z(y) = 2*y. Let g(b) be the second derivative of -215*b**3/6 + 54*b. Determine g(z(v)).
-430*v
Let l(u) = -2*u. Let f(x) = -150012*x. Calculate f(l(q)).
300024*q
Let w(u) = 7*u**2 + 4*u + 6. Let k(l) = -9*l**2 - 6*l - 9. Let q(d) = 2*k(d) + 3*w(d). Let t(j) = -2*j - 163. What is t(q(h))?
-6*h**2 - 163
Let q(h) = 146 + 54*h - 146 - 47*h - 356*h. Let r(n) = -n**2. Determine q(r(g)).
349*g**2
Let r(k) be the first derivative of -2*k**3/3 + 82. Let c be (-4)/(-6) + 30/9. Let a(l) = -4*l + 6*l - c*l. Calculate r(a(f)).
-8*f**2
Suppose -j + 49 + 14 = 5*m, 2*j - 2*m - 78 = 0. Let u(t) = 20 - j + 17*t + 23. Let n(q) = q. Give n(u(z)).
17*z
Let n(l) = -82*l**2. Let k(u) be the second derivative of -u**4/2 + 215*u. Give k(n(s)).
-40344*s**4
Suppose -9 = 22*d - 13*d. Let h(o) = -12*o**2. Let n(r) = -r**2. Let p(x) = d*h(x) + 8*n(x). Let b(a) = -14*a**2. Calculate b(p(z)).
-224*z**4
Let w(r) = 353*r. Let o(t) = -2*t**2 - 8. What is w(o(s))?
-706*s**2 - 2824
Let i(a) = 4345*a. Let z(o) = 4*o**2 + o. Determine i(z(h)).
17380*h**2 + 4345*h
Let v(q) = -13*q**2. Let x(c) = -40*c + 3*c**2 + 40*c + 5*c**2 + 5*c**2. Calculate v(x(d)).
-2197*d**4
Let u(a) = -26*a. Let m(b) be the third derivative of b**4/2 - 144*b**2. Determine m(u(h)).
-312*h
Let g(l) = -2*l. Let i(d) = 7*d**2 - 4*d - 1. Let m be i(-9). Let b(r) = m + 16*r - 602. Calculate b(g(j)).
-32*j
Let z(u) = -43*u**2. Let b(o) = 17*o**2 - 8. Let k(f) = -2*f**2 + 1. Let a(v) = 3*b(v) + 24*k(v). What is z(a(t))?
-387*t**4
Let r(i) be the first derivative of -3*i**2/2 - 5360. Let q(g) be the first derivative of 3*g**2/2 + 1. What is r(q(w))?
-9*w
Let g(b) be the first derivative of -b**2 + 1. Suppose -12 = 5*j + 3. Let i(p) = -15*p - 5. Let r(d) = -8*d - 3. Let f(l) = j*i(l) + 5*r(l). Calculate g(f(y)).
-10*y
Let i(k) be the third derivative of k**5/10 - 114*k**2. Let t(d) = 15*d. What is i(t(u))?
1350*u**2
Let v(z) be the second derivative of -z**4/12 + 6*z + 11. Let q(y) = y**2. What is v(q(k))?
-k**4
Let z(o) be the third derivative of -o**5/30 - 2*o**2. Let w(m) = 175*m + 197*m - 356*m. Determine w(z(q)).
-32*q**2
Let c(l) = -9*l. Let t(n) = n. Let i(s) = c(s) + 6*t(s). Let h(r) be the first derivative of -2*r**3/3 + 128. Determine h(i(v)).
-18*v**2
Let n(a) = a + 6 - 6 + 2*a. Let t(y) be the third derivative of -1/24*y**4 + 0*y + 0*y**3 + 0 - 10*y**2. Give n(t(x)).
-3*x
Let z(b) = 10*b**2. Let f(p) = 36*p**2 - 77*p**2 + 3 + 31*p**2 - 2. What is z(f(x))?
1000*x**4 - 200*x**2 + 10
Let g(k) be the third derivative of 35*k**4/24 + 12*k**2. Let w(c) = -2*c + 8. Let r(i) = i - 3. Let v(n) = -8*r(n) - 3*w(n). What is v(g(u))?
-70*u
Let d(h) = -2*h**2 - 2328*h - 2. Let o(r) = -10*r**2. Give d(o(y)).
-200*y**4 + 23280*y**2 - 2
Let x(y) = 7*y**2. Let d(w) = -w. Let l(b) = 3*b**2 - 3*b. Let h(m) = -3*d(m) + l(m). Give h(x(q)).
147*q**4
Let f(a) be the first derivative of 2*a**3/3 + 480. Let l(p) = -3*p**2. Determine f(l(k)).
18*k**4
Let a(n) = n. Let v = 1046 - 1044. Let l(t) be the second derivative of 10*t + 0*t**v - 1/12*t**4 + 0 + 0*t**3. Calculate a(l(r)).
-r**2
Let t(u) = -22*u**2 + 9*u. Let l(f) = -5*f**2 + 2*f. Let y(n) = 18*l(n) - 4*t(n). Let h(p) = 54*p**2 + 2. Give y(h(q)).
-5832*q**4 - 432*q**2 - 8
Let w(m) = 4 - 13*m**2 - 4 - 12*m**2 + 23*m**2. Let b(q) = 88*q**2 - 1. Determine w(b(d)).
-15488*d**4 + 352*d**2 - 2
Let p(k) be the second derivative of k**3/6 - 92*k. Let g(n) = 165*n**2. Calculate p(g(w)).
165*w**2
Let l(r) be the third derivative of -r**4/8 - 3*r**2. Let s(o) = 133*o + 77. Let f(a) = 7*a + 4. Let h(d) = 77*f(d) - 4*s(d). Calculate h(l(j)).
-21*j
Let m(w) = w. Let y(f) = 5*f - 285. Let g(k) = 14*k - 853. Let d(h) = -6*g(h) + 17*y(h). Determine m(d(i)).
i + 273
Let j(l) be the first derivative of l**2 - 71. Let h(w) = -w - 2. Let r be h(-4). Let k(i) = 0*i**2 - r*i**2 + 6*i**2. Give j(k(m)).
8*m**2
Let u(j) = 2*j. Let m(t) = -197*t + 2. Let f(l) = -93*l + 1. Let k(h) = 7*f(h) - 3*m(h). Determine k(u(d)).
-120*d + 1
Let h(v) = 31*v. Let g(k) = -52*k + 24*k + 31*k. What is g(h(f))?
93*f
Let u(r) = 466*r**2. Let m(i) = 10*i**2 + 9*i - 9. Let d(c) = c**2 + c - 1. Let v(o) = 18