- 24*z. Let g(b) = -4*b. Determine g(j(i)).
-8*i**2
Let t(p) be the first derivative of p**6/360 - 5*p**3/3 - 4. Let l(h) be the third derivative of t(h). Let w(r) = 4*r. Give l(w(z)).
16*z**2
Let i be (-2)/4 - 9/(-2). Let s(g) be the third derivative of 0 + 1/30*g**5 + 3*g**2 + 0*g + 0*g**3 + 0*g**i. Let u(p) = -2*p. Give u(s(z)).
-4*z**2
Let q(k) = 2*k**2 - k. Let u(c) = 9*c**2 - 6*c. Let r(f) = -6*q(f) + u(f). Let d(w) be the second derivative of 0 + 1/3*w**3 + w + 0*w**2. What is d(r(t))?
-6*t**2
Let h(n) = -n. Let w(t) = -392*t + 1. What is h(w(r))?
392*r - 1
Let l = 5 + -2. Let u(r) = 7*r. Let i(a) = 22*a. Let s(o) = -2*o. Let p(d) = 6*i(d) + 68*s(d). Let m(f) = l*u(f) + 7*p(f). Let q(g) = 2*g**2. Calculate q(m(k)).
98*k**2
Let c = -4 - -4. Let l(w) be the first derivative of -1 + 0*w**2 + c*w - 2/3*w**3. Let i(o) = -o. What is l(i(k))?
-2*k**2
Let k(u) = 3*u. Let h(s) = 3*s**2 - 4*s + 44. Determine k(h(t)).
9*t**2 - 12*t + 132
Let v(f) = 4*f. Let s(b) = b**2 + 3*b. Let p(g) = 2*g**2 + 5*g. Suppose -2*i - 12 = -2. Let d(j) = i*s(j) + 3*p(j). What is d(v(x))?
16*x**2
Let d(j) = -12*j**2. Let y(i) = -2*i + 31. What is y(d(f))?
24*f**2 + 31
Let k(l) = -5*l + 9 + 3*l - 9. Let d(p) be the third derivative of p**4/3 - p**2. What is d(k(x))?
-16*x
Let k(a) = a. Let d(u) = 63*u**2. What is d(k(g))?
63*g**2
Let t(i) = -10*i**2. Let c(m) = -12*m**2. Calculate c(t(k)).
-1200*k**4
Let w(z) = 2*z. Suppose -4*x + 0 + 8 = 0. Let o(j) = 5*j**x - 14*j**2 + 11*j**2. Give o(w(c)).
8*c**2
Let i(l) = 19*l + 21*l - 4 - 34*l. Let c(w) = w. Determine c(i(s)).
6*s - 4
Let a(k) = -6*k**2. Let m(c) = 5*c. Let w = -5 - -9. Suppose 5*o - 114 + 4 = 0. Let x(y) = -y. Let l(z) = o*x(z) + w*m(z). Give a(l(g)).
-24*g**2
Let n(x) = -2*x. Let c(k) = 9*k - 12. Let p(z) = z - 1. Let r(w) = c(w) - 12*p(w). Calculate r(n(b)).
6*b
Let g(q) = 7*q - 6. Let v(x) be the first derivative of -x**2/2 + x - 1. Let w(n) = -g(n) - 6*v(n). Let f(u) = -2*u**2. Determine f(w(p)).
-2*p**2
Let f(v) = 2*v**2. Let c(z) be the second derivative of z**5/120 + z**3 - 2*z. Let s(u) be the second derivative of c(u). Calculate f(s(y)).
2*y**2
Let z(s) = -6*s**2. Let u(a) = -19*a**2 - 4. Determine u(z(x)).
-684*x**4 - 4
Let w(h) be the first derivative of h**5/20 - h**2/2 + 1. Let z(y) be the second derivative of w(y). Let n(p) = -4*p**2 + 2*p**2 + 3*p**2. Determine z(n(a)).
3*a**4
Let j(y) = -y**2. Let q(u) be the first derivative of 0*u + 1/2*u**2 + 4. Calculate j(q(p)).
-p**2
Let q(p) = 2*p**2 - 16281*p + 16281*p. Let l(m) = 54*m**2. Calculate q(l(r)).
5832*r**4
Let p(w) = -2*w**2. Let j(a) be the second derivative of -a**3/3 - a. Give p(j(y)).
-8*y**2
Let q(z) = -2*z. Let t(u) = 3*u + 34. Give t(q(n)).
-6*n + 34
Let y(s) = 2*s**2. Let a be (-2 - 10/(-6))*0. Let h(p) = a*p - p - 4*p. Calculate y(h(c)).
50*c**2
Let r(o) = -o. Let w(l) = 2*l**2 - l - 3873. Calculate w(r(c)).
2*c**2 + c - 3873
Let t(i) = 9*i + 14. Let o(r) = -3*r. Determine o(t(d)).
-27*d - 42
Let h(t) = -7*t - 6. Let w(y) = 20*y + 17. Let l(x) = 17*h(x) + 6*w(x). Let s(r) = 8*r - 2*r + 242 - 242. What is s(l(n))?
6*n
Let x(m) = 7*m**2 - 14*m**2 - 2*m**2 - 9*m**2. Let g(p) = -2*p**2. What is x(g(u))?
-72*u**4
Let z(x) = -50*x**2. Let o(i) = 22*i - 9. Let c(k) = 5*k - 2. Let v(a) = 9*c(a) - 2*o(a). Determine v(z(n)).
-50*n**2
Suppose 0 = -d + 5 - 7. Let i = d + 5. Let k(j) = i*j - j**2 - 3*j. Let b(p) = -3*p**2. What is k(b(u))?
-9*u**4
Let h(o) = 8*o + 26. Let t(l) = 2*l. Calculate t(h(i)).
16*i + 52
Let p(k) = k**2. Let j(d) = -5*d**2 + 89*d. Calculate j(p(w)).
-5*w**4 + 89*w**2
Let p(q) = q - 3. Let y(s) = 2. Let m(l) = -4*p(l) - 3*y(l). Let i(g) = -8*g + 11. Let z(a) = -6*i(a) + 11*m(a). Let j(b) = 2*b. What is z(j(n))?
8*n
Let k = -2 - -7. Let p(z) = z + k*z - z. Let t(r) = 2*r. Give t(p(o)).
10*o
Let x(q) = 844*q. Let p(j) = j**2. Calculate x(p(v)).
844*v**2
Let s(f) = -f**2. Suppose -3*o - o - 2*h = 18, -o + 2*h = -3. Let w(y) = 6 - 3 + y - 5*y. Let z(q) = 7*q - 5. Let n(r) = o*z(r) - 5*w(r). Give s(n(g)).
-g**2
Let f(m) = m. Let x(k) = -k**2 + 237*k. Give x(f(r)).
-r**2 + 237*r
Let s(w) = 2*w. Let v(o) = -7*o**2 + 13*o - 13. Let k(n) = n**2 - 2*n + 2. Let p(g) = -39*k(g) - 6*v(g). Give p(s(d)).
12*d**2
Let x(r) = -3*r**2. Let k(v) = -7*v**2 + 31. Determine x(k(m)).
-147*m**4 + 1302*m**2 - 2883
Let t(v) = -27*v. Let g(m) = 9*m**2 - 21*m. What is t(g(c))?
-243*c**2 + 567*c
Let w(s) = s. Let c(m) = 8383*m. Calculate c(w(a)).
8383*a
Let d(g) = -2*g. Let n(o) = 1 - 2 - 20*o + 1. Determine n(d(i)).
40*i
Let l(c) = 86*c. Let i(j) = 2*j**2. Determine l(i(b)).
172*b**2
Let y(d) = -7*d**2 - 5*d - 5. Let k(f) = -3*f**2 - 2*f - 2. Let z(s) = -5*k(s) + 2*y(s). Let u(b) = 5*b. Determine z(u(v)).
25*v**2
Let s(k) = -k. Let b(v) = 46*v + 2. Give b(s(f)).
-46*f + 2
Let w(j) = -69*j. Let k(z) = 85*z + 2. What is k(w(p))?
-5865*p + 2
Let w(l) be the third derivative of l**4/6 + l**2. Let o(s) = -2*s + 1. Let y(d) = -d + 1. Let q(n) = o(n) - y(n). Give q(w(r)).
-4*r
Let t(d) = 3*d**2. Let r(y) be the second derivative of y**4/24 + y**2 - y. Let i(s) be the first derivative of r(s). Determine i(t(h)).
3*h**2
Let h(k) = 2376*k**2. Let n(u) = -u**2. What is n(h(x))?
-5645376*x**4
Let a be (-32)/(-14) + 2/(-7). Let k(w) = 5 + a*w**2 - 5. Let t(b) be the second derivative of b**3/6 + b. Determine k(t(f)).
2*f**2
Let z(h) = 27*h - h**2 - 27*h. Let d(b) = b. Determine d(z(t)).
-t**2
Let b(d) be the third derivative of -d**4/12 + 10*d**2. Let j(s) = -4*s. What is j(b(l))?
8*l
Let r(i) = 68*i. Let u(c) = 49*c. Calculate r(u(h)).
3332*h
Let l(n) = 3*n**2 + n**2 + 3*n**2 - 5*n**2. Let v(s) = -s. Determine v(l(o)).
-2*o**2
Suppose 5*s + 5*w = -55, -2*s + 7 = -4*s + 3*w. Let u(j) = j. Let k(d) = 4*d. Let x(v) = s*u(v) + k(v). Let n(l) = l**2 - l**2 + l**2. Calculate n(x(t)).
16*t**2
Let j(p) = -5*p + 2*p + p + p. Let x(f) be the second derivative of -f**3/6 - f. Give x(j(a)).
a
Let t(h) = 2*h**2 - 5. Let m(r) = 1. Let l(w) = 5*m(w) + t(w). Let n(b) be the second derivative of 0 - 1/12*b**4 + 0*b**3 + 0*b**2 + 2*b. Determine n(l(p)).
-4*p**4
Let k(h) = 109*h**2 - 10. Let r(i) = -73*i**2 + 7. Let z(a) = -5*k(a) - 7*r(a). Let f(u) = u**2. Calculate z(f(m)).
-34*m**4 + 1
Let z(m) = 2*m. Let k be (-4)/3*(-6)/4. Let j(p) = 5*p - 5*p - k*p + 5*p. What is j(z(q))?
6*q
Let h(u) = -6*u**2. Let w(p) be the first derivative of 0*p**2 + 2/3*p**3 + 0*p - 4. What is h(w(m))?
-24*m**4
Let h(t) = 1. Let k(f) = f - 3. Let x(n) = -3*h(n) - k(n). Let p(y) = 6*y**2. Calculate x(p(r)).
-6*r**2
Let p(v) be the third derivative of v**5/60 + v**2. Let f(i) = 2*i. Determine p(f(a)).
4*a**2
Let s(r) = 2*r. Suppose -5*b - 3 = g, g + 6 = 5*g + 2*b. Let f be (0/(2*-1))/g. Let i(l) = f - 2*l + 0. Calculate i(s(w)).
-4*w
Let h(s) = -3*s. Let a(k) = -199*k + 1. What is a(h(p))?
597*p + 1
Let v(n) = 64*n. Let h(g) = -22*g**2. What is h(v(u))?
-90112*u**2
Let n(l) = 2*l. Let j(v) = 73*v**2. Give n(j(s)).
146*s**2
Let d be 3/(-1*(3 - 4)). Let k(y) = -5*y + y + y - d*y. Let q(u) = u**2. What is q(k(f))?
36*f**2
Let z(g) be the first derivative of g**2/2 + 8. Let w(j) = 2*j. Determine w(z(k)).
2*k
Let f(n) = 2*n + 8. Let g = -5 + 8. Let c(l) = -l - 3. Let k(j) = g*f(j) + 8*c(j). Let m(a) = -5*a**2. What is k(m(h))?
10*h**2
Let i(c) = -13*c**2 - 3*c. Let f(o) = -8*o. Give f(i(m)).
104*m**2 + 24*m
Let s(i) = -2*i**2. Let h(k) = -589 - 3*k**2 + 589. Determine s(h(a)).
-18*a**4
Let t(h) = 13*h**2. Let p(v) = -2*v**2. Calculate p(t(w)).
-338*w**4
Let i = 2/777 - -81/2072. Let l(u) be the third derivative of 0*u**3 + 0 + i*u**4 + 0*u + 2*u**2. Let g(r) = -r. What is l(g(y))?
-y
Let j(i) = 21 - 2*i - 21. Let b(m) = -18*m. What is b(j(f))?
36*f
Let j(i) be the third derivative of -i**5/15 - 10*i**2. Let z(k) = 14*k**2. Give z(j(v)).
224*v**4
Let r(x) = -6*x**2. Let i(b) = 7*b. Determine i(r(d)).
-42*d**2
Let h(w) = -19*w - 47. Let d(s) = -4*s. What is h(d(o))?
76*o - 47
Let w(n) = -n**2. Let d(z) be the second derivative of -z**4/6 + 3*z. What is d(w(p))?
-2*p**4
Let n(v) = -2*v. Suppose 4*y + 12 = 4*q, -q = -0*q + 4*y + 17. Let l = 1 - q. Let o(c) = -7*c**l + 0*c**2 + 3*c**2. What is n(o(b))?
8*b**2
Let z(u) = 13*u. Let h(k) be the first derivative of k**2 + 10. Give h(z(b)).
26*b
Let i(x) = 3*x. Le