(i(a))?
-2*a
Let h(t) be the first derivative of -t**3/2 + 3*t - 4. Let d(r) be the first derivative of h(r). Let l(z) = 4*z**2 - 2*z**2 + 0*z**2. Determine l(d(n)).
18*n**2
Let y(j) = 2*j. Let h(z) be the second derivative of -z**4/6 - 8*z. Determine h(y(i)).
-8*i**2
Let h(g) = -1856*g. Let r(a) = 2*a. Give r(h(v)).
-3712*v
Let d(g) = -35 - 33 + 10*g**2 + 68. Let w(o) be the first derivative of -o**2 + 1. What is d(w(s))?
40*s**2
Let o(m) = 617*m**2. Let y(t) = t**2. Give y(o(h)).
380689*h**4
Let t(l) be the third derivative of 13*l**4/24 - 9*l**2. Let o(r) = r**2. Determine o(t(f)).
169*f**2
Let g(y) = 2*y. Let v(f) = 6*f**2 - 2*f - 376. Determine g(v(u)).
12*u**2 - 4*u - 752
Let s(c) be the third derivative of -c**5/60 - 32*c**2. Let u(m) = 9*m**2. What is s(u(k))?
-81*k**4
Suppose 7*m = 2*m + 10. Let i(v) = -1 + 6*v - 1 + m. Let u(t) be the first derivative of t**3/3 - 3. Calculate i(u(c)).
6*c**2
Let k(o) be the second derivative of 7*o**3/6 - o. Let n(p) = 3*p**2 - 5. Let c(d) = -4*d**2 + 6. Let a(x) = -5*c(x) - 6*n(x). Calculate k(a(u)).
14*u**2
Let a(r) = 4*r. Let f(b) = -8*b**2 + 6*b - 3. Let q(s) = -9*s**2 + 8*s - 4. Let x(k) = 4*f(k) - 3*q(k). What is a(x(m))?
-20*m**2
Let p(i) = 3*i**2. Suppose 0 = -6*k - 3*k + 27. Let m(q) be the third derivative of 0 - 1/24*q**4 + 0*q + 0*q**3 + k*q**2. Calculate m(p(w)).
-3*w**2
Let u(g) = 16*g. Let i(s) = 1701*s**2. Give i(u(y)).
435456*y**2
Let i(b) = -56*b. Let n(c) = -4*c. Give n(i(r)).
224*r
Let n(v) = 2*v**2. Let r(m) = 2757*m. Calculate n(r(x)).
15202098*x**2
Let n(k) = -2*k**2. Let r be (-3 - -5)/(-1) + 4. Let t(b) = -8*b**2 + 13*b**2 + 8*b**r. Determine n(t(u)).
-338*u**4
Let y(w) = 14*w. Let k(h) = -2*h. What is y(k(g))?
-28*g
Let w(r) = r**2. Let f(b) = -3161*b. Calculate w(f(z)).
9991921*z**2
Let o(p) = -2*p. Let v(y) = -y**2 - 1. Let f be 3/(-2)*(-24)/(-9). Let c(l) = 2. Let j(s) = f*v(s) - 2*c(s). What is j(o(t))?
16*t**2
Let b(g) be the third derivative of -g**5/40 + g**3/6 + g**2. Let k(q) be the first derivative of b(q). Let j(n) = -n. Determine k(j(d)).
3*d
Let r(c) = 5*c**2. Let d(f) = 8*f**2 - 4*f. What is r(d(b))?
320*b**4 - 320*b**3 + 80*b**2
Let u(t) = -t**2. Let a = 1 - -1. Suppose a*y - 1 = 3. Let q(x) = -2 - y*x + 2. Determine u(q(c)).
-4*c**2
Let d(q) = 3*q. Let k(i) = 14*i + 45. Give k(d(o)).
42*o + 45
Let k(u) = -28*u**2. Let d(j) = 2*j**2. Let o(w) = -5*w**2. Let c(s) = 11*d(s) + 4*o(s). Calculate c(k(t)).
1568*t**4
Let m(q) = -2*q - 8*q + 12*q. Let d(x) = -12*x**2. Determine d(m(a)).
-48*a**2
Let i(h) be the third derivative of 5*h**4/24 + 7*h**2. Let g(o) = -3*o + 3*o - o**2. Calculate g(i(v)).
-25*v**2
Let n(g) = -g**2. Let p(l) = 424*l. Determine n(p(h)).
-179776*h**2
Let x(s) = -s**2. Let z(r) = 9*r + 5*r + 13*r - 26*r. Give x(z(q)).
-q**2
Let b(p) = 3*p - 4. Let o(v) = -v + 1. Let g(h) = b(h) + 4*o(h). Let x(c) be the first derivative of 0*c + 1 + 0*c**2 - 1/3*c**3. Give x(g(w)).
-w**2
Let p(s) = -s. Suppose r - 3 - 1 = 0. Suppose 0*w = -w + 2. Let z(n) = -n**2 - r*n**w + 3*n**2. What is z(p(k))?
-2*k**2
Let f(m) = 7*m**2. Let w(l) = -l - 7. Determine f(w(t)).
7*t**2 + 98*t + 343
Let z(g) = 6*g. Let n(h) = 14*h**2. Determine n(z(x)).
504*x**2
Let l(i) = -2*i**2 - 5. Let f(z) = 2*z**2 + 4. Let y(v) = -5*f(v) - 4*l(v). Let o(x) = 2*x**2. Calculate y(o(j)).
-8*j**4
Let p(f) = 2*f. Let d(z) = 2*z + z + z + z. Determine d(p(w)).
10*w
Let q(o) = -5*o**2 - 4*o**2 + 4*o**2. Let d(n) be the first derivative of n**2/2 + 2. Give q(d(c)).
-5*c**2
Let s(n) be the second derivative of n**3/3 - n. Let p(q) = q + 1268*q**2 - 1260*q**2 - q. What is s(p(j))?
16*j**2
Let f(d) be the first derivative of -3*d**2/2 + 3. Let j(g) = -8*g. Let b(z) = 3*z. Let s(y) = 14*b(y) + 5*j(y). Determine s(f(i)).
-6*i
Let f(a) = a. Let i(k) be the second derivative of 0 + 0*k**2 - 1/3*k**3 - k. Determine f(i(b)).
-2*b
Suppose -4*d + 3 = j, -4*d - 5*j - 17 = -0*d. Let t(u) = -8*u**d - u**2 + 6*u**2. Let l(m) = -9*m**2. What is t(l(h))?
-243*h**4
Let j(v) = -220*v**2. Let m(u) = -2*u**2. Determine j(m(w)).
-880*w**4
Let r(s) be the second derivative of 5*s**3/6 - 4*s. Let g(q) be the third derivative of -q**4/24 + 4*q**2. Give r(g(d)).
-5*d
Let k(j) = j**2. Let v(m) = -180*m - 4. Determine k(v(y)).
32400*y**2 + 1440*y + 16
Let m(y) = 2*y**2. Let u(r) = -8*r + 3. Let d(t) = 104*t - 40. Suppose 4*j - 17 = -5*p, -2*p = -3*j + 3*p + 4. Let w(x) = j*d(x) + 40*u(x). Determine w(m(z)).
-16*z**2
Let m(r) = 1391*r. Let p(k) = -k**2. Give m(p(s)).
-1391*s**2
Let q(w) = -w. Let v(n) = n. Let h(o) = 2*q(o) + v(o). Let t(j) be the second derivative of -11*j**4/12 + j. Determine h(t(g)).
11*g**2
Let o(u) = u**2. Let v(j) = -1475*j. Give v(o(c)).
-1475*c**2
Let o(w) = w. Let d(l) = -5*l**2 - 80*l. What is o(d(g))?
-5*g**2 - 80*g
Let h(y) = y. Let b(s) = 3*s**2 + 4*s + 4. Let r(n) = 2*n - 8*n - 15 - 12*n**2 - 7*n - 2*n. Let d(q) = -15*b(q) - 4*r(q). Determine d(h(p)).
3*p**2
Let y(m) = -m + 1. Let w(t) = -3*t + 3 - 11 + 8. Give y(w(l)).
3*l + 1
Let i(l) = 12*l**2. Let w(a) = -3*a**2 - 16. What is w(i(k))?
-432*k**4 - 16
Let z(p) = 585*p. Let r(m) = 2*m. Give z(r(q)).
1170*q
Let z(m) be the first derivative of -m**3/3 + 10. Let c(h) = -3*h. Give c(z(s)).
3*s**2
Let k(y) = 7*y. Let w(g) = 457*g**2. What is w(k(t))?
22393*t**2
Let i(a) = -2*a + 208. Let b(g) = -4*g**2. Calculate i(b(c)).
8*c**2 + 208
Let q(o) = -3*o**2. Suppose -3*f = f. Let j(b) = -3*b + 4*b + f*b. What is q(j(n))?
-3*n**2
Let u(i) = -6017*i. Let l(b) = 2*b**2. Give u(l(o)).
-12034*o**2
Let p(m) = 4*m**2 - 2*m**2 - 3*m**2 - 3*m**2. Suppose 0 = -4*s + 5*s - 1. Let x(l) = 2*l**2 - s - 4*l**2 + 1. Calculate x(p(n)).
-32*n**4
Let h(g) = 6*g**2. Let x(a) = 5*a**2 - 6. Let c(b) = -14*b**2 + 17. Let u(m) = -6*c(m) - 17*x(m). Give h(u(r)).
6*r**4
Let v(m) = 115*m**2 - 60*m. Let a(o) = 2*o. Determine v(a(h)).
460*h**2 - 120*h
Let w(j) = -9*j**2 - 11*j. Let v(k) = -2*k. Calculate v(w(z)).
18*z**2 + 22*z
Let g(r) = 3*r**2. Let o(w) be the second derivative of 0*w**2 + 4*w + 0*w**3 + 0 - 1/6*w**4. Calculate o(g(d)).
-18*d**4
Let i(x) = 3*x**2. Let q(f) be the first derivative of 3*f**3 - 9. Calculate i(q(u)).
243*u**4
Let g(t) = t + 0 - 3*t + 0. Let b(w) = -4*w - 3. Let o(y) = 23*y + 17. Let f = 9 - 15. Let r(s) = f*o(s) - 34*b(s). Calculate g(r(j)).
4*j
Let a(f) be the second derivative of f**3/3 + 19*f. Let x(n) = -4*n - 3*n - n. Give a(x(h)).
-16*h
Let t(h) = 1 + 2*h - 5 + 4. Let i(x) = -3*x. What is t(i(y))?
-6*y
Suppose r - 3*r - 5*o = 0, -r = -4*o - 13. Let d(q) = 16*q**2. Let b(c) = 11*c**2. Let v(a) = r*d(a) - 8*b(a). Let g(l) = -2*l. Calculate v(g(x)).
-32*x**2
Let j(z) = -2*z**2. Let u(b) be the first derivative of -4*b**3/3 + 13. Give u(j(q)).
-16*q**4
Let t(x) = -2*x**2. Let d(l) be the first derivative of 0*l**2 + 0*l - 3 + 5/3*l**3. Calculate d(t(k)).
20*k**4
Let q(d) = -5*d**2. Let y = -21 - -31. Suppose 10*b - 5*b = y. Let h(j) = -4 + 4 + 2*j**b - j**2. Give h(q(n)).
25*n**4
Let i(d) = 2*d**2 + 7*d - 7. Let l(w) = -w**2 - 3*w + 3. Let f(h) = -3*i(h) - 7*l(h). Let c(p) = 21*p**2. What is f(c(x))?
441*x**4
Let a(b) be the second derivative of -5*b**3/6 + b. Let g(s) be the third derivative of -s**4/24 + 2*s**2. What is a(g(d))?
5*d
Let c(x) = 6*x**2. Let m(j) be the first derivative of 2*j**3/3 + 2. Determine c(m(f)).
24*f**4
Let c(x) = -3*x**2. Let j(d) = -47*d. Give j(c(h)).
141*h**2
Let a(v) = v**2. Let x(s) = 15*s - 2. Let j(q) = 31*q - 5. Let o(m) = 2*j(m) - 5*x(m). Give o(a(k)).
-13*k**2
Let b(a) = -5*a. Let o(t) = 0*t + 2*t + 3*t - 3*t. Calculate b(o(j)).
-10*j
Let y(c) = -3*c**2. Let v(k) = -7*k - 66. What is y(v(b))?
-147*b**2 - 2772*b - 13068
Let j = -14 + 44/3. Let r(x) be the first derivative of -j*x**3 + 0*x**2 + 0*x + 2. Let q(y) = -y**2. Calculate q(r(k)).
-4*k**4
Let n(l) = 4*l**2. Suppose 0*g + 6 = 2*g. Let h = 3 - g. Let z(d) = 5*d - 3*d + h*d. Determine n(z(i)).
16*i**2
Let k(h) = 3*h**2. Let j(g) be the third derivative of 0 - 5*g**2 + 0*g**3 + 0*g - 1/8*g**4. Calculate k(j(w)).
27*w**2
Let q(w) = -3*w**2. Let a(r) be the third derivative of r**5/5 - 2*r**2. Let i(s) = 2*a(s) + 9*q(s). Let j(l) = -3*l + 2*l + 3*l. Determine j(i(y)).
-6*y**2
Let l(v) be the third derivative of 13*v**5/60 + 4*v**2. Let t(n) be the second de