- 4. Let o(i) = i**3 - i**2 + 6. Let m be o(0). Let y be t(m). Let d(j) = -7*j + y*j**2 + 7*j. Let q(x) = x. Calculate q(d(p)).
8*p**2
Let o(h) be the first derivative of h**2 - 27. Let s(u) = -31*u - 2. Give s(o(y)).
-62*y - 2
Let b(k) = k**2 - 2*k**2 + 0 + 0. Let c(m) be the second derivative of m**4/6 - m. What is b(c(y))?
-4*y**4
Let r(p) = -3*p - 96. Let i(s) = -2*s**2. Give i(r(u)).
-18*u**2 - 1152*u - 18432
Let w(r) = 4*r + 2*r - 3*r. Let j(b) be the third derivative of b**5/30 + 17*b**2. Give j(w(y)).
18*y**2
Let l(g) = -6*g. Let r(i) = -i**2 + 270. Give l(r(x)).
6*x**2 - 1620
Let i(v) = -2*v**2. Let j(d) = 5*d**2 + 4*d - 4. Let z(l) = -l**2 - l + 1. Let b(w) = -j(w) - 4*z(w). Determine i(b(a)).
-2*a**4
Let o(c) = 2*c. Let s(n) = -2*n - 394. Determine o(s(x)).
-4*x - 788
Let m(q) = -2*q**2 + 3*q - 3. Let a(i) = -i**2 + i - 1. Let s(d) = -3*a(d) + m(d). Let p(b) be the third derivative of b**5/30 - 2*b**2. Determine s(p(l)).
4*l**4
Let u(l) = 6*l. Suppose -5*b = -3 - 22. Let x(g) = -2*g**2 + 5. Let a(f) = -f**2 + 3. Let i(v) = b*a(v) - 3*x(v). What is i(u(k))?
36*k**2
Let t(s) = -24*s - 24. Let l(k) = 2*k**2. Give l(t(d)).
1152*d**2 + 2304*d + 1152
Let k(z) = 3*z - 14*z - 8*z**2 + 2*z**2 + 5*z**2. Let g(p) = 2*p**2. Give g(k(b)).
2*b**4 + 44*b**3 + 242*b**2
Let r(a) = 2*a. Let p(f) = -159*f. Give p(r(l)).
-318*l
Let a(m) = -15*m**2 - 5*m + 5. Let l(x) = -x + 1. Let d(y) = a(y) - 5*l(y). Let c(k) = -3*k**2. Calculate c(d(n)).
-675*n**4
Let g(q) be the first derivative of q**5/30 + 3*q**2/2 - 5. Let p(w) be the second derivative of g(w). Let f(h) = 7*h**2. Calculate f(p(i)).
28*i**4
Let m(q) = 2*q - 5. Let n(j) = 47*j**2. Give m(n(f)).
94*f**2 - 5
Let d(l) = -2*l - 39. Let s(v) = 3*v**2. Calculate d(s(w)).
-6*w**2 - 39
Let v(t) be the first derivative of t**3/3 + 32. Let q(n) = -2*n**2 + 5*n**2 + 0*n**2. What is v(q(l))?
9*l**4
Suppose -3*f = -3 - 69. Suppose 6*u - f = 3*u. Let s(v) = -7*v + u*v + v. Let l(q) = -3*q**2. What is l(s(w))?
-12*w**2
Let p(z) = -4*z - 3*z + 2*z + 4*z. Let w(s) = -s**2 - 3*s. Give p(w(v)).
v**2 + 3*v
Suppose 8 - 2 = 3*z. Let a(j) = 2*j**2 - j**2 + z*j**2 + j**2. Let n(l) = -l**2. Give a(n(u)).
4*u**4
Let j(f) = -5*f. Let v(g) = 41*g. Give v(j(l)).
-205*l
Let s(g) be the second derivative of g**3/6 - 2*g. Let i(b) be the first derivative of -3*b**2 + 10. What is s(i(t))?
-6*t
Let o(y) = 3*y**2. Let u(g) = -5*g**2 + 3*g. Let h(a) = -6*a**2 + 2*a. Let m(w) = 3*h(w) - 2*u(w). What is m(o(f))?
-72*f**4
Let c(b) = 2*b. Let o(w) = -31*w - 4. What is o(c(t))?
-62*t - 4
Let g(j) be the second derivative of -j**3/3 - 68*j. Let i(n) = 2*n - 8. Let f(s) = s - 3. Let z(o) = -8*f(o) + 3*i(o). Give g(z(c)).
4*c
Let z(a) be the third derivative of -7*a**4/24 - 20*a**2 + 2. Let k(y) = -7*y. Calculate k(z(g)).
49*g
Let y(f) = -4*f. Let w(u) = 3*u - 2. Let h(n) = -14*n + 9. Let v(j) = 4*h(j) + 18*w(j). Calculate y(v(z)).
8*z
Let b(w) = -w**2 + 0*w**2 - 2*w**2. Let u(i) be the third derivative of 0 + 0*i + 0*i**3 + 2*i**2 - 1/8*i**4. Give b(u(p)).
-27*p**2
Let n(r) = r + 17. Let i be n(-12). Let h(a) = 12*a - 6. Let u(g) = -11*g + 5. Let y(l) = i*h(l) + 6*u(l). Let x(m) = -m**2. What is y(x(s))?
6*s**2
Let n(j) = 3*j**2. Suppose 3*q + 2*k - 3*k = 3, 0 = 4*q + 5*k - 23. Let h(l) be the first derivative of -1/3*l**3 + 0*l**q - 1 + 0*l. Determine h(n(y)).
-9*y**4
Let l = 0 - -6. Let y(m) = -m. Let t(f) = 2*f. Let a(w) = l*y(w) + 4*t(w). Let o(p) = 3*p**2. What is o(a(r))?
12*r**2
Let a(w) = 2*w**2. Let h be a(-2). Let z(p) = -2*p**2 + h*p**2 - 4*p**2. Let x(r) = 4*r**2. What is x(z(g))?
16*g**4
Let c(g) = 2*g. Let v be 24/84 + 52/14. Suppose -5*a + 4*a = -6. Let u(d) = -d - a*d + 0*d + v*d. Determine u(c(w)).
-6*w
Let c(t) = -3*t**2 + 0*t**2 + 0*t**2. Let d(g) = -2*g - 5. Let f = -7 + 12. Let o(y) = -3*y - 7. Let a(v) = f*o(v) - 7*d(v). What is c(a(m))?
-3*m**2
Let k(w) = 2*w**2. Let g(q) = -35903*q. Calculate g(k(j)).
-71806*j**2
Let a(p) = -3*p. Let y(g) be the second derivative of -4*g**3/3 + 5*g. Let b(x) = -11*a(x) + 4*y(x). Let i(c) = -c. What is i(b(m))?
-m
Let a(m) = 2302*m. Let w(u) = -7*u. Give w(a(y)).
-16114*y
Let k be 15/9*(0 + 3). Let h(v) = 3*v - k*v + 2*v + 2*v. Let n(p) be the first derivative of -3*p**2/2 + 1. What is n(h(m))?
-6*m
Let g be 8/(-20) + 7/5. Let z be (1/2)/g*0. Let a(s) = z + 0 - s**2 - s**2. Let o(q) = -3*q. Determine o(a(y)).
6*y**2
Let v(d) = 2*d**2. Let s(j) = -32*j. Give s(v(g)).
-64*g**2
Let a(r) = r**2 + r + 1. Let l(g) = 4*g**2 + 12*g + 12. Let m(c) = -48*a(c) + 4*l(c). Let u(q) = q**2. Give u(m(d)).
1024*d**4
Let w(q) = -2*q**2. Let n(o) = -2*o**2 - 197*o. Calculate n(w(g)).
-8*g**4 + 394*g**2
Let o(c) = 4*c - 4*c + 2*c. Let u(i) be the third derivative of -3*i**4/8 - 5*i**2 + 6. Calculate u(o(r)).
-18*r
Let a(w) = 0*w - 12*w + 6*w. Let r(m) = m. Determine r(a(v)).
-6*v
Let n(u) = 2*u**2. Suppose -2*j + 2 = -2*o - 4, 9 = 3*j - 2*o. Let w(h) be the third derivative of 2*h**2 + 0*h**4 + 0*h + 0 + 0*h**j - 1/60*h**5. Give w(n(b)).
-4*b**4
Let s(o) = -6*o**2. Let m(f) = 2*f**2 - 24*f. Calculate m(s(t)).
72*t**4 + 144*t**2
Let y(p) = -2320*p + 2320*p + 5*p**2. Let u(i) be the first derivative of 4*i**3/3 + 3. Determine u(y(n)).
100*n**4
Let d(b) = 7*b**2. Let a(q) = -3*q**2 + 5*q**2 - 4*q**2. Give a(d(c)).
-98*c**4
Let o(n) = -5*n. Let d(k) = 66*k**2. Let i(q) = 5*q**2. Let r(y) = 2*d(y) - 27*i(y). Determine o(r(w)).
15*w**2
Let l(p) = -11*p**2 - 13*p + 13. Let s(v) = -5*v**2 - 6*v + 6. Let b(q) = -6*l(q) + 13*s(q). Let t(z) = -2 + 1 + 1 - 4*z. Determine b(t(n)).
16*n**2
Let y(d) be the first derivative of -d**2 - 2. Let c(w) = 5*w**2 + 2*w. Let s(j) = 11*j**2 + 5*j. Let l(q) = -10*c(q) + 4*s(q). What is y(l(n))?
12*n**2
Let v(r) = -5*r. Let o(j) = 3*j**2 - 21*j. Determine v(o(q)).
-15*q**2 + 105*q
Let s(x) = 5*x**2. Let k(a) be the third derivative of a**5/12 + 6*a**2 - 3*a. Give k(s(b)).
125*b**4
Let q(y) = 3*y**2. Let a(h) = 10*h**2 + 14*h - 14. Let k(r) = -2*r**2 - 3*r + 3. Let z(i) = -3*a(i) - 14*k(i). Calculate z(q(j)).
-18*j**4
Let h(d) = -14*d + 32*d - 21*d. Let s(m) = 5*m**2 - 4*m**2 - 3*m**2 + m**2. What is h(s(y))?
3*y**2
Let i(g) = 4*g. Let u(s) = 474*s**2. Give i(u(v)).
1896*v**2
Let d(w) = -2*w. Let r(l) = -105*l**2 - 49. Let x(u) = 13*u**2 + 6. Let i(c) = 6*r(c) + 49*x(c). Give d(i(y)).
-14*y**2
Let f(i) = -i - 4. Let t(s) be the second derivative of -s**2/2 + 2*s. Let v(u) = 5*f(u) - 20*t(u). Let x(h) = -15455*h - h**2 + 15455*h. What is v(x(w))?
5*w**2
Let d(s) = 5*s. Let k(x) = -2*x. Let w(r) = -2*r. Let b(a) = a. Let h(c) = -9*b(c) - 4*w(c). Let f(l) = 4*h(l) - 3*k(l). Give f(d(v)).
10*v
Let r(h) = h**2 + 0*h + 0*h. Let c(i) be the second derivative of -i**4/12 + 26*i. What is c(r(m))?
-m**4
Let b(k) = -4*k**2. Let w(x) = -224*x**2 + 49. Let t(n) = 14*n**2 - 3. Let r(i) = -49*t(i) - 3*w(i). Give r(b(o)).
-224*o**4
Suppose -4*f = 25 - 9. Let l(v) = -5*v + 3. Let c(w) = 6*w - 4. Let y(g) = f*l(g) - 3*c(g). Let h(b) = 2*b**2. Determine h(y(m)).
8*m**2
Let y(p) = 2*p**2 + 25*p. Let i(j) = 6*j. What is i(y(n))?
12*n**2 + 150*n
Let m(n) = -3*n**2. Let o(g) = 578*g**2. Give m(o(t)).
-1002252*t**4
Let n(x) = -13377*x. Let c(z) = 2*z**2. Determine c(n(y)).
357888258*y**2
Let t(y) = -106 - 26*y**2 - 106 + 212. Let r(u) = -2*u**2. Calculate r(t(b)).
-1352*b**4
Let s(z) = 2 + 2*z**2 - 2. Let p(g) = 12 - 12 - 2*g. Let h(w) = -2*w. Let u(o) = 4*h(o) - 3*p(o). Determine u(s(i)).
-4*i**2
Let z(p) = 6*p**2. Let i(n) = -5*n. Let j = 10 + -2. Let x(c) = 2*c. Let u(b) = j*x(b) + 3*i(b). Give u(z(r)).
6*r**2
Let o(h) = 4*h. Let u = 205/12 - 17. Let y(f) be the third derivative of 0*f**3 + 0 + u*f**4 + 0*f - f**2. What is o(y(g))?
8*g
Let z(c) be the first derivative of -2*c**3/3 - 12. Let b(h) = 8*h**2. Give b(z(j)).
32*j**4
Let r(k) = 30*k + 28*k + 24*k - 86*k. Let x(w) = -7*w**2. What is x(r(h))?
-112*h**2
Let p(t) = 18*t - 4. Let n(s) = -s. Determine p(n(x)).
-18*x - 4
Let b(s) = 8*s. Let v(r) = 7*r + 4. Calculate v(b(m)).
56*m + 4
Let f(h) = h**2. Let j(y) = 31*y - 11*y - 14*y. What is j(f(d))?
6*d**2
Let t(k) = k - 51. Let j(p) = -2*p. Determine j(t(b)).
-2*b + 102
Suppose -2*k + 8 = -0*k. Let i(y) = k*y - y - y. Let r(f) = -14 + 14 + 2*f. Calculate i(r(o)).
4*o
Let g(h) = -h**2. Let w(s) =