k. What is o(c(b))?
b
Suppose -41 = -2*c + 97. Let k(f) = c - 69 + 2*f. Let b(o) = -3*o. Determine k(b(w)).
-6*w
Let k(z) = -5*z**2 + 0*z**2 + 2*z**2 + 0*z**2. Let d(q) = -4*q**2. Determine d(k(y)).
-36*y**4
Let t(r) = 4*r. Let f(h) = -127*h**2 - 3. Determine t(f(c)).
-508*c**2 - 12
Let d(g) = -4*g. Let f(j) = -161*j**2 - 8. What is f(d(o))?
-2576*o**2 - 8
Let r(s) be the first derivative of 5*s**3/3 + 1. Let w(m) be the second derivative of m**4/12 - m. What is w(r(i))?
25*i**4
Suppose n - 5*n = -8. Let z(l) = n*l - 3*l + l + 2*l. Let f(i) = -4*i. Determine z(f(p)).
-8*p
Let r(m) be the second derivative of m**3/3 + 11*m. Let v(f) be the third derivative of 0*f**3 + 0*f - f**2 - 1/24*f**4 + 0. Determine v(r(g)).
-2*g
Let u(a) = -2*a**2. Let j = -91 + 178. Let o(m) = j - 87 - 6*m. Determine o(u(d)).
12*d**2
Let h(i) = -i**2 - i. Let b(y) = 30*y**2 + 33*y. Let d(v) = -4*b(v) - 132*h(v). Let r(j) = 3*j. Calculate d(r(l)).
108*l**2
Let q(p) be the first derivative of 17*p**2/2 + 2. Let c(h) be the third derivative of h**5/30 - h**2 - 12. What is q(c(o))?
34*o**2
Let g(x) = 411*x**2. Let p(b) = 2*b. Calculate p(g(a)).
822*a**2
Let r(y) = -2*y - 2*y**2 + 2*y. Let k(d) be the third derivative of -d**4/24 + d**3/6 + 4*d**2. Let q(l) = 4*l - 5. Let z(m) = 5*k(m) + q(m). Calculate r(z(a)).
-2*a**2
Let f(o) = 8*o**2. Let r(u) = 0*u**2 + 0*u**2 - u**2. Calculate f(r(i)).
8*i**4
Suppose 6*k - 2*k = 0. Let l(p) = -p**2 + 4*p - 4*p + k*p. Let h(j) = 6*j**2 - j**2 - 4*j**2. What is l(h(z))?
-z**4
Let j(q) = 34*q. Let h(t) = 11*t**2. Give h(j(l)).
12716*l**2
Let l(r) = r**2 - 2*r - 4. Let k be l(-2). Let q(o) be the third derivative of 2*o**2 + 0*o + 0 - 1/12*o**k + 0*o**3. Let t(p) = -2*p**2. Give t(q(c)).
-8*c**2
Let p(u) = u**2 + u**2 + u**2. Let x(k) = -k + 2. Let o(r) = -4*r + 7. Let j be (2/3)/((-2)/6). Let t(z) = j*o(z) + 7*x(z). Determine p(t(w)).
3*w**2
Let u(v) = -2*v. Let s(w) = -12*w**2 - 2*w. Calculate u(s(b)).
24*b**2 + 4*b
Let q(g) = -2*g**2. Let k(h) = -583*h. Give q(k(p)).
-679778*p**2
Let j(l) be the third derivative of l**4/24 - l**2. Let n(k) = 11*k. Give j(n(h)).
11*h
Let z(s) = -88*s**2. Let w(r) = 5*r**2. Determine z(w(y)).
-2200*y**4
Let p(t) = t. Let m(j) = -55*j + 25. Let f(v) = -14*v + 6. Let w(i) = -25*f(i) + 6*m(i). What is w(p(a))?
20*a
Let i(p) = p + 2*p - p. Let q(o) = -20 + 20 + o**2. Calculate q(i(j)).
4*j**2
Let i(z) = 6*z**2. Let g(u) = 2*u - 295. Determine i(g(n)).
24*n**2 - 7080*n + 522150
Let r(p) = -3*p. Let o(i) = -17 + 4 - i**2 + 13. Let z(a) = -4*a**2. Let g(v) = 3*o(v) - z(v). Give g(r(t)).
9*t**2
Let c = 15 - -5. Let w be 10/4*c/25. Let t(n) = -6*n**w + 4*n**2 + 0*n**2. Let j(v) = 2*v. Give t(j(k)).
-8*k**2
Let a(x) = 2*x**2. Let v(q) = 599*q. Calculate v(a(l)).
1198*l**2
Let k(x) be the third derivative of x**5/15 + 6*x**2. Let q(c) = -2 + 2 + c. Determine q(k(h)).
4*h**2
Let n(q) = -7*q - 5. Let z(w) = 3*w + 2. Let b(d) = 2*n(d) + 5*z(d). Let i = 0 - 0. Let v(h) = 3*h**2 - 5*h**2 + i*h**2. Give v(b(x)).
-2*x**2
Let n(v) = v**2. Let g(i) = -2*i**2 - 884*i + 2. Give g(n(k)).
-2*k**4 - 884*k**2 + 2
Let n(g) be the first derivative of -g**5/60 + g**2/2 - 1. Let h(a) be the second derivative of n(a). Let w(s) = -4*s + 0*s + 3*s. Give w(h(m)).
m**2
Let n(o) = 4*o**2 - 21 - 15 + 36. Let u(s) = 21*s**2. Calculate n(u(a)).
1764*a**4
Let g(w) be the first derivative of 2*w**3/3 + 1. Let r(u) = -5*u. Give g(r(y)).
50*y**2
Let m(s) = -4*s**2. Let q(n) = 10*n + 2. What is m(q(w))?
-400*w**2 - 160*w - 16
Let p(c) = -4*c. Let d(r) = -r**2 + 3*r + 2. Let g be d(3). Let h(i) = -3*i**2 - 4*i**2 + 5*i**g. Give h(p(m)).
-32*m**2
Let m(z) = 3*z**2. Let x(y) = -y**2. Let c(t) = -2*m(t) - 5*x(t). Suppose 0 = 5*p + 4*d + 10, 0 = p + 3*d + 13. Let l(j) = -2*j**2 + 2 - p. Give l(c(w)).
-2*w**4
Let o(t) = 34 - t + 4*t - 34. Let d(q) = q. What is d(o(f))?
3*f
Let w(y) = -3*y. Let q = 5 + -3. Let t(i) be the third derivative of 0*i**4 + 1/30*i**5 + 0*i**3 - i**q + 0*i + 0. Calculate w(t(f)).
-6*f**2
Let b(p) = -2*p**2. Let u(x) = -286*x. Let i(w) = 15*w. Let k(y) = 77*i(y) + 4*u(y). Calculate b(k(g)).
-242*g**2
Let s(m) = -6*m + 4*m + 6*m - 6*m. Let k(u) = 5*u. Give k(s(r)).
-10*r
Let d(a) = 15*a**2. Let h(v) = 4*v + 0*v - v - v. Determine d(h(l)).
60*l**2
Let u(y) = -8*y**2 + 14*y - 14. Let f(s) = s - 1. Let a(n) = 28*f(n) - 2*u(n). Let i(b) = -b. Determine a(i(g)).
16*g**2
Let b(h) = -21*h**2. Let l(j) = 85*j. What is b(l(f))?
-151725*f**2
Let t(n) = n**2 - 13*n - 12. Let u be t(14). Let w(x) = x + 3*x - u*x + 0*x. Let f(l) = 4*l**2. What is f(w(j))?
16*j**2
Let j(c) = -4*c**2. Let b(p) = -3*p. Let m(n) = -10*n. Let g(o) = -14*b(o) + 4*m(o). Determine g(j(z)).
-8*z**2
Let i(z) be the third derivative of 0 + 1/30*z**5 + 0*z**3 + 2*z**2 + 0*z**4 + 0*z. Let f(l) be the third derivative of l**4/24 + l**2. What is f(i(s))?
2*s**2
Let i(m) = 2*m**2. Let p(j) = 3*j + 563. What is i(p(k))?
18*k**2 + 6756*k + 633938
Let a(x) = x. Let j(t) be the first derivative of 7*t**2/2 - 12. Determine j(a(q)).
7*q
Let m(u) = u + 5. Let v(b) = 6*b + 36. Let n(i) = -36*m(i) + 5*v(i). Let j(d) = 11*d**2. Calculate n(j(y)).
-66*y**2
Let a(x) = -3*x. Suppose 5*i + 27 = -48. Let y(o) = -o**2 + o. Suppose -2*p = -2 - 4. Let z(l) = -6*l**2 + 5*l. Let m(j) = i*y(j) + p*z(j). Calculate a(m(v)).
9*v**2
Let m(b) = -10*b**2 + b. Let j(k) = 38*k**2. What is j(m(r))?
3800*r**4 - 760*r**3 + 38*r**2
Let q(n) = n - 6. Let i(a) = 3*a - 13. Let m(h) = -6*i(h) + 13*q(h). Let f be 1/(((-3)/(-4))/3). Let l(r) = -2*r - f + 3*r + 4. Determine m(l(o)).
-5*o
Let c(w) = -9*w. Let a(j) = -146*j. Determine c(a(g)).
1314*g
Let c(f) = 4*f + f - f**2 - 5*f. Let b(n) = -n**2. Determine b(c(y)).
-y**4
Let k(l) be the first derivative of -6*l**2 + 17. Let y(c) = c**2. Determine k(y(g)).
-12*g**2
Let u(g) = -3*g - 2*g + 5*g + 3*g**2. Let a(v) = 5 - 4 - v**2 - 1. What is a(u(t))?
-9*t**4
Let q = 11 - 8. Let a(i) = 2*i**2 - 4*i**2 + q*i**2. Let c(u) = -9*u + 4*u + 2*u. Determine c(a(w)).
-3*w**2
Suppose -2*u = -0*u - 4. Let q(p) be the third derivative of -1/24*p**4 + 0*p**3 + 0 - 2*p**u + 0*p. Let k(b) = 3*b**2. Determine k(q(v)).
3*v**2
Let c(t) = -t. Let y(q) = 2*q**2 - 20*q. Let i(a) = a - a - 4*a - a. Let r(m) = 20*i(m) - 5*y(m). What is c(r(f))?
10*f**2
Let q(p) = 20*p**2. Let k(o) = -4*o**2 + 5*o. Give q(k(w)).
320*w**4 - 800*w**3 + 500*w**2
Let v be -14*(0/(-3) + -2). Let o(d) = -11 + 8*d - 14*d + v. Let s(z) = -z + 3. Let n(m) = 6*o(m) - 34*s(m). Let q(u) = u. Calculate n(q(r)).
-2*r
Let j(g) = -5*g**2. Let l(o) = 3*o**2. Give j(l(h)).
-45*h**4
Let y(r) = -3*r + 3*r + r + 2*r. Let g(w) = w**2 - w**2 + w**2. What is y(g(x))?
3*x**2
Let a(j) = 2*j**2. Let d(r) = 10*r**2 + 4*r**2 + 23*r**2. What is a(d(z))?
2738*z**4
Let a(o) = -10*o + 9. Let h(n) = n. What is h(a(j))?
-10*j + 9
Let p(i) be the third derivative of i**4/12 - i**2. Let l(o) = -o**2 - 4*o + 11. Let y be l(-5). Let v(j) = -2*j**2 - y*j**2 + 6*j**2. Calculate v(p(s)).
-8*s**2
Let f(w) = -2*w**2. Let d(s) = 246*s. Determine d(f(l)).
-492*l**2
Let g(f) = -f**2. Let i(a) be the first derivative of a**4/12 + 5*a - 2. Let t(k) be the first derivative of i(k). Determine t(g(z)).
z**4
Let n(h) = h**2. Let z = -12 - -5. Let c(l) = -5*l - 2. Let q(t) = 16*t + 7. Let p(j) = z*c(j) - 2*q(j). Give p(n(m)).
3*m**2
Let p(v) = -v**2 + 3*v**2 + v**2. Let d(r) = 2*r**2. Give d(p(q)).
18*q**4
Let s(a) = 19*a - 6*a - 16*a. Let o(w) = -16*w**2. What is o(s(p))?
-144*p**2
Suppose -4 = -2*p + p. Let x(c) = -c - p*c + c. Let z(b) = 20*b**2. Let g(y) = -7*y**2. Let v(h) = -14*g(h) - 5*z(h). What is v(x(i))?
-32*i**2
Let u(j) = -2*j**2. Let d(v) = 39*v - 8. Let k(f) = -39*f + 10. Let r(s) = 5*d(s) + 4*k(s). Give u(r(h)).
-3042*h**2
Let i(r) be the third derivative of -r**4/8 + 4*r**2. Let m(j) = 39*j**2 + 1 - 1 - 41*j**2. What is m(i(k))?
-18*k**2
Let z(q) = -8*q. Let y(i) = -i - 1. Let m be y(-3). Let c(l) = 5*l - l - l - m*l. Give c(z(u)).
-8*u
Let w(l) = -l**2. Let y(s) = -s**2 - 1. Let x(d) = -12*d**2 - 14. Let i(g) = 5*x(g) - 70*y(g). What is i(w(t))?
10*t**4
Suppose 8*m - 27 + 27 = 0. Let b(z) be the second derivative of -5/12*z**4 + m*z**2 + 0 - z + 0*z**3. Let n(y) = y. Determine n(b(w)).
-5*w**2
Let f(p) = 690*p + 2. Let t(k) = -4*k. Determi