a(t) = -3*t**2 - 126. Determine a(j(p)).
-3*p**2 - 126
Let p(y) = -y**2. Let g(h) = -2022275*h**2 - 3. Determine g(p(w)).
-2022275*w**4 - 3
Let h(d) be the third derivative of 11*d**5/20 - d**2 + 3. Let c(t) = -6*t. Calculate c(h(b)).
-198*b**2
Let a(o) = -17*o**2 + 1. Let d(r) = -3724*r. What is d(a(s))?
63308*s**2 - 3724
Let d(s) = 7*s**2. Let r(n) be the third derivative of 0*n**4 + 0*n - 6*n**2 + 0*n**3 + 1/12*n**5 + 0. What is r(d(g))?
245*g**4
Let n(w) = 336*w**2. Let d(a) = -19*a - 10. Determine d(n(u)).
-6384*u**2 - 10
Let b(y) = -y**2. Let o(m) be the first derivative of -5*m**3/3 - 6. Let l(n) = 9*b(n) - 2*o(n). Let s(h) = -h. Determine l(s(a)).
a**2
Let t(f) = -93*f**2. Let n(p) = 28*p**2 - 5*p + 5. Let l(b) = -21*b**2 + 4*b - 4. Let x(g) = -5*l(g) - 4*n(g). Give x(t(k)).
-60543*k**4
Let u(b) = b. Suppose -2*p - 6 = -w - 4, -5*p - 3 = -3*w. Let h(n) = -n**2 + 4*n - 4. Let v(i) = i**2 - 3*i + 3. Let a(m) = w*v(m) - 3*h(m). Give a(u(f)).
-f**2
Let g(n) = 16*n - 3*n + 8*n. Let t(l) be the first derivative of l**2 + 1134. Give g(t(u)).
42*u
Let h(n) = 3*n**2. Let t(p) = 144*p**2 + 0*p - 243*p**2 - p. Calculate h(t(s)).
29403*s**4 + 594*s**3 + 3*s**2
Let u(p) = 3*p. Let r(j) be the first derivative of -8*j**2 + 70. Give r(u(a)).
-48*a
Let n(w) = -2*w. Let u(v) = -5*v + 2 - 2. Let z(j) = -51*j. Suppose -461 - 1681 = 34*q. Let s(c) = q*u(c) + 6*z(c). Calculate n(s(r)).
-18*r
Let w(o) = -o. Let s(j) = -12*j**2 + 3*j - 3. Let f(c) = -c**2 - c + 1. Suppose 15 = 8*y - 3*y. Let n(r) = y*f(r) + s(r). Give n(w(i)).
-15*i**2
Let v(j) = 51*j**2. Let l(o) be the third derivative of o**5/30 + 18*o**2 - o. Give v(l(f)).
204*f**4
Let k(q) = 18*q**2. Let z(a) = a + 18. Let x(i) = i - 9. Let v(g) = 4*x(g) + 2*z(g). What is k(v(s))?
648*s**2
Let y be (0 - (-7 + -2)) + -3. Let m(f) = -y*f**2 + 7*f**2 - 6*f**2. Let d(p) be the third derivative of -p**4/12 - p**2. What is d(m(o))?
10*o**2
Let b(n) = -14804*n. Let d(w) = 23*w**2 - 1. What is d(b(z))?
5040643568*z**2 - 1
Let a(x) = -2*x + 1. Let p(t) be the third derivative of -t**4/12 - 532*t**2. Calculate p(a(s)).
4*s - 2
Let b(r) = -2*r**2. Let v(z) = 8*z - 6. Let a(h) = 3*h - 2. Let n(g) = 5*a(g) - 2*v(g). What is b(n(o))?
-2*o**2 + 8*o - 8
Let v(i) = 138*i**2. Let m(w) be the first derivative of w**2 - 135. Calculate m(v(a)).
276*a**2
Let y(x) = -x**2. Suppose 2*i - 4*i = -8. Suppose -i*g + 0*g + 2*j + 18 = 0, 0 = 4*g + 4*j. Let k(f) = 8 - 8 + g*f. Determine k(y(m)).
-3*m**2
Let q(j) be the third derivative of j**4/2 + 2*j**2. Let i(g) = g + 6. Let a(f) = -5*f + 3*f + 330 - 343. Let u(y) = 6*a(y) + 13*i(y). What is q(u(n))?
12*n
Let y(d) be the first derivative of d**3/3 - 2. Let f(c) be the second derivative of -101*c**4/12 - 173*c. What is y(f(x))?
10201*x**4
Let k(t) = -2*t**2 - 3*t - 1790. Let a(c) = 57*c**2. Determine k(a(w)).
-6498*w**4 - 171*w**2 - 1790
Let s(r) = -r**2 - 35*r. Let m(d) be the third derivative of d**5/30 + 10*d**2 - 12*d. Give m(s(y)).
2*y**4 + 140*y**3 + 2450*y**2
Let d(a) = -a. Let l(j) = 149150*j**2. Give d(l(x)).
-149150*x**2
Let b(k) = -14*k - 3. Let y(q) = 13*q + 4. Let v(i) = -4*b(i) - 3*y(i). Let a(h) = -322*h. Let n(r) = 3*a(r) + 56*v(r). Let c(f) = 3*f**2. Give n(c(s)).
-42*s**2
Let q(c) be the first derivative of -5*c**4/12 - 6*c - 8. Let y(n) be the first derivative of q(n). Let s(p) = 3*p. Calculate s(y(t)).
-15*t**2
Let j(b) = 805*b - 11. Let k(c) = 2*c. Determine j(k(n)).
1610*n - 11
Let s(q) = -q + 6. Let t(p) = -610*p + 18. Let c(z) = -3*s(z) + t(z). Let y(o) = -2*o**2. Determine c(y(n)).
1214*n**2
Let i(d) = 58274*d. Let v(m) = -2*m. Give v(i(y)).
-116548*y
Let o(u) = -16*u. Let l(j) = j**2 - j + 1. Let a(z) = 4*z**2 + 4*z - 6. Let n(h) = -a(h) + 6*l(h). Let t be n(8). Let r(i) = t*i - 59*i + 1 - 1. Give r(o(q)).
-16*q
Let r(t) = -5*t. Let y(w) = 11*w + 7. Let m(k) be the third derivative of 11*k**4/24 + k**3 + 17*k**2. Let d(q) = -7*m(q) + 6*y(q). Calculate d(r(h)).
55*h
Let n(v) = 2*v. Let f(a) = 38432*a. Determine n(f(h)).
76864*h
Let g(s) be the second derivative of -4*s**3/3 + 1155*s. Let w(c) = c**2 - 5. Let b(o) = 2*o**2 - 12. Let u(i) = -5*b(i) + 12*w(i). Give g(u(p)).
-16*p**2
Let w(u) = -67*u + 1. Let l(z) = -5*z. Let o(v) = -26*v. Let t(i) = -20*l(i) + 4*o(i). Calculate w(t(y)).
268*y + 1
Let v(b) be the first derivative of 2*b**3/3 - 341. Let q(w) = -1005*w**2. Calculate q(v(h)).
-4020*h**4
Let f(s) be the first derivative of -6 + 0*s**3 + 0*s - 5/2*s**2 - 1/12*s**4. Let m(d) be the second derivative of f(d). Let j(l) = 2*l**2. Calculate m(j(h)).
-4*h**2
Let h(z) = 5*z. Let d(y) be the third derivative of -5*y**4/24 - y**2 + 12*y. What is h(d(l))?
-25*l
Let q(n) = 3*n**2. Let s(u) = 7261*u**2. Calculate s(q(z)).
65349*z**4
Let f be 3 + (3 - 8) - 6504/(-6). Let s(o) = -1082 - 22*o + f. Let x(w) = -w. What is s(x(t))?
22*t
Let q(y) = 2*y**2. Let x(t) be the second derivative of 457*t**3/6 + 22*t + 2. Determine q(x(r)).
417698*r**2
Let u(d) be the second derivative of 0*d**2 + 0 - 2*d - 1/12*d**4 + 0*d**3. Let l(j) = -j. Let o(g) = g. Let t(v) = l(v) - 4*o(v). Determine t(u(w)).
5*w**2
Let z(d) = -91*d**2 - 21*d - 33. Let y(v) = -18*v**2 - 4*v - 6. Let n(r) = 11*y(r) - 2*z(r). Let w(f) = 2*f**2. What is n(w(o))?
-64*o**4 - 4*o**2
Let a(u) = -16463*u**2 + 2. Let d(h) = -151*h. Calculate a(d(q)).
-375372863*q**2 + 2
Let f(s) = 124*s**2. Let c(j) = -443*j. Give c(f(m)).
-54932*m**2
Let o(l) = -2228*l. Let f(t) = -3*t**2 - 3. Determine o(f(j)).
6684*j**2 + 6684
Let m(k) = k - 1084. Let f(i) = 6*i. What is f(m(v))?
6*v - 6504
Let v be (-4)/12 - 21/(-9). Let g(k) = -7*k**v - 346*k + 346*k. Let f(b) = b**2. Determine g(f(u)).
-7*u**4
Let u(w) = -4*w - 3. Let t(i) = 6*i**2 + 3*i - 6. Let x(j) = -5*j**2 - 2*j + 4. Let p(r) = 2*t(r) + 3*x(r). What is p(u(l))?
-48*l**2 - 72*l - 27
Let i(r) = 2*r**2. Let p(n) = -2*n**2 + n - 1. Let m(k) = -3*k**2 + 83*k - 2. Let z(q) = m(q) - 2*p(q). Determine i(z(c)).
2*c**4 + 324*c**3 + 13122*c**2
Let v(q) = 2*q. Let a(i) = 167*i + 7. Give v(a(t)).
334*t + 14
Let q(n) = -4*n**2. Let i(y) = y + 7031. Determine q(i(w)).
-4*w**2 - 56248*w - 197739844
Let j(x) = 7184*x. Let w(g) = g. Determine w(j(d)).
7184*d
Let v(t) = -3*t**2 - 116. Let j(i) = 7*i**2. Give v(j(a)).
-147*a**4 - 116
Let p(w) = -3*w. Let c(k) be the second derivative of 11*k**4/24 - 13*k**2/2 - 21*k. Let t(f) be the first derivative of c(f). Calculate t(p(x)).
-33*x
Let v(m) = -2*m. Let b(f) = -224364*f**2. Determine b(v(p)).
-897456*p**2
Let f(c) = 2*c. Let y(j) = -36281*j**2. What is y(f(b))?
-145124*b**2
Let p(v) = -30*v. Let j(u) = 418*u + 484. Let i(s) = -7*s - 8. Let g(x) = 121*i(x) + 2*j(x). What is p(g(k))?
330*k
Let z(w) be the first derivative of -7*w**3/3 + 225. Let a(t) = 20*t**2. What is a(z(s))?
980*s**4
Let n(c) be the third derivative of 0*c**4 + 0*c + 0 - 5*c**2 + 0*c**3 + 1/60*c**5. Let r(m) = -m**2. Determine n(r(z)).
z**4
Let y(s) = -8*s**2. Let z(a) = -5*a**2 + 4*a - 2. Calculate z(y(u)).
-320*u**4 - 32*u**2 - 2
Let x(o) = 4*o + 55. Let w(i) = 7*i + 55. Let f(j) = 2*w(j) - 3*x(j). Let h(n) = -2*n**2. Give f(h(b)).
-4*b**2 - 55
Let t(s) = -2*s**2. Let p be (20/(-25) + 12/15)/2. Let q(v) be the second derivative of p*v**2 + 0 - v - 4/3*v**3. What is t(q(n))?
-128*n**2
Let o(f) = -f**2. Let r(m) = m**2 - 24*m + 97. Let h be r(19). Let n(p) be the third derivative of 0 + 0*p**3 + p**h + 1/12*p**5 + 0*p**4 + 0*p. Give n(o(l)).
5*l**4
Let f(g) = -10*g**2. Let a(n) be the second derivative of 5*n**3/2 + 408*n. Calculate f(a(o)).
-2250*o**2
Suppose -t - 6*t = 0. Let h(s) be the third derivative of -6*s**2 - 1/10*s**5 + 0*s**4 + t*s**3 + 0*s + 0. Let m(o) = -2*o**2. Give m(h(z)).
-72*z**4
Let g(n) = 2*n - 6 + 6. Let j(t) = -5*t**2 - 3*t - 3. Let v(s) = 4*s**2 + 4*s + 4. Let k be 14/2 - (-4 - -7). Let b(o) = k*j(o) + 3*v(o). Give b(g(h)).
-32*h**2
Let f(c) = c - c - c + 0. Let b(x) be the second derivative of x**2/2 - 9*x. Let n(w) = w - 3. Let d(u) = -12*b(u) - 4*n(u). Calculate f(d(o)).
4*o
Let i(v) = -v - 1. Let x(w) = w - 2. Let t(h) = 5*i(h) - 4*x(h). Let y(l) = -l. Give y(t(c)).
9*c - 3
Let a(k) = -40*k**2. Let j(l) = -16*l**2 - 11*l + 11. Let t(n) = 3*n**2 + 2*n - 2. Let q(m) = 2*j(m) + 11*t(m). Determine a(q(g)).
-40*g**4
Let t(q) = 7*q**2 - 2*q.