v
Suppose 13 = 5*n + 3. Suppose -7*a = -a - 12. Let o(y) = 0 + 0 - n*y**a. Let v(g) = -2*g**2. Determine o(v(c)).
-8*c**4
Let m(f) = 0*f - 2*f + f. Let u(r) = 0*r**2 - r**2 - r**2. Determine m(u(t)).
2*t**2
Suppose -2 = -2*a + 4. Let c(l) = 3*l + a*l - 7*l. Let t(b) = 2*b + 2*b - 5*b. Determine t(c(n)).
n
Let q(d) be the third derivative of d**4/12 - 3*d**2. Let l(w) = w**2 - 2*w + 2. Let r(i) = -i**2 + i - 1. Let u(f) = -l(f) - 2*r(f). Give q(u(o)).
2*o**2
Let s(i) be the third derivative of -i**4/24 - i**3/2 - 2*i**2. Let c(r) = 4*r + 14. Let m(h) = -3*c(h) - 14*s(h). Let x(b) = 3*b. Give x(m(t)).
6*t
Let f(c) = -43*c**2. Let d(a) = -11*a**2 - 2*a. Give d(f(b)).
-20339*b**4 + 86*b**2
Let i(p) = -4*p. Let c(h) = -25*h - 15. Let q(z) = 6*z + 4. Let v(l) = 4*c(l) + 15*q(l). Calculate i(v(d)).
40*d
Suppose 5*d - 7 = c - 2*c, -5*c + 5 = -5*d. Let m(r) = 3*r + d - 1. Let j(y) = -5*y - 7. Let f(w) = 3*w + 4. Let b(n) = 7*f(n) + 4*j(n). Calculate b(m(q)).
3*q
Let q(v) be the third derivative of v**4/24 - 6*v**2 - 2. Let s(u) = -6*u. Calculate s(q(t)).
-6*t
Let m(l) = 23*l**2 - 40*l**2 + 19*l**2. Let o(r) = r**2 + r + 1. Let d(j) = 3*j + 3. Let z(x) = -d(x) + 3*o(x). Calculate z(m(b)).
12*b**4
Let q(a) be the second derivative of -a + 0*a**2 + 0 + 1/3*a**3. Let x(b) = 3*b**2. What is q(x(w))?
6*w**2
Let d(n) = 150*n + 10. Let p(v) = -v. Determine d(p(c)).
-150*c + 10
Suppose -3*h + 8 - 2 = 0. Let x(p) = -p**2 + h*p**2 + 0*p**2. Let b(g) = -5*g**2. Determine x(b(l)).
25*l**4
Let l(t) = t**2. Let m(j) = -8*j**2. Let o(r) = -18*l(r) - 2*m(r). Let s(d) = 2*d. Give s(o(q)).
-4*q**2
Let t(c) = c + 4. Let b(f) = 27*f. Determine b(t(v)).
27*v + 108
Let v(b) = 2*b**2 - 6*b - b + 11*b - b**2. Let a(f) = -2*f**2. Determine a(v(r)).
-2*r**4 - 16*r**3 - 32*r**2
Let v(b) = -5*b + 5*b - 2*b**2. Let t(a) = -2*a. Let f(p) = -p. Let q(w) = -5*f(w) + 3*t(w). Determine q(v(o)).
2*o**2
Let l(s) = -s**2 + 13*s - 8*s - 5*s. Let a(u) = -45*u**2. What is a(l(y))?
-45*y**4
Let f(g) = 4*g. Let z = 8 - 6. Let o(n) = 9*n**2 - n**2 - 8*n**2 - 3*n**z. Give f(o(l)).
-12*l**2
Let h(x) = 3*x**2. Let y(q) = q**3 + 5*q**2 + 2. Let v be y(-5). Let r(o) = o**v + 7*o - 7*o. Calculate h(r(c)).
3*c**4
Let d(h) = -2*h**2. Let x(l) be the first derivative of 0*l - 1 - 1/2*l**2. Give d(x(j)).
-2*j**2
Let f(g) = g - 390. Let n(o) = -8*o**2. Calculate n(f(c)).
-8*c**2 + 6240*c - 1216800
Let g(b) = -b**2. Let t(z) = -33*z + 64*z - 27*z. What is t(g(c))?
-4*c**2
Let t(q) = 26*q. Let d(s) = -9*s + s + 9*s. Calculate t(d(j)).
26*j
Let q(m) = m**2. Let f(s) = -12*s**2 - 9*s - 9. Let z(k) = -3*k**2 - 2*k - 2. Let b(t) = 2*f(t) - 9*z(t). Give b(q(n)).
3*n**4
Let w(m) = -9*m**2. Let r(h) = 5*h**2. Let o(b) = -11*r(b) - 6*w(b). Let y(q) = -2*q + 4*q - q. Determine o(y(i)).
-i**2
Let z(t) = 2*t + 3 + 1 - 4. Let k be (-51)/(-15) + (-6)/15. Let u(f) = 2*f - k*f + 2*f. Give z(u(i)).
2*i
Let f(y) = 3*y. Let m be (-4)/(-10) + 88/55. Let u(g) = -g**2 - 4*g**m + 2*g**2 + 5*g**2. What is u(f(r))?
18*r**2
Let f(h) = 14*h**2 - 12*h - 12. Let k(n) = n**2 - n - 1. Let i(o) = -f(o) + 12*k(o). Let x(t) = -4*t**2. Determine x(i(p)).
-16*p**4
Let w(k) = -5 - 5 + 19 - 8 + 5*k**2. Let v(r) = r. What is v(w(u))?
5*u**2 + 1
Let g(h) = -2*h**2. Let u(c) = -3*c**2. Let w(p) = -10*p**2. Let m = 15 + -22. Let k(o) = m*u(o) + 2*w(o). Calculate g(k(l)).
-2*l**4
Let s(h) = -17*h**2. Let m(u) = -13*u**2 + 6*u**2 + 8*u**2. Determine s(m(t)).
-17*t**4
Let j(i) = -13*i**2. Let r(g) be the first derivative of -2*g**3/3 - 2. What is j(r(x))?
-52*x**4
Let m(d) = -27*d. Let s(r) = r**2. Give m(s(n)).
-27*n**2
Let f(n) = -6*n. Let z(j) = -7*j**2 - 5*j. Let r(y) = -4*y**2 - 3*y. Let l(o) = 5*r(o) - 3*z(o). Calculate l(f(c)).
36*c**2
Let q(d) = 2*d. Let w(b) = -17*b + 17*b + 14*b**2. Determine q(w(k)).
28*k**2
Let g(s) = -30*s - 90. Let k(f) = 2*f**2. Give k(g(x)).
1800*x**2 + 10800*x + 16200
Let c(k) = -k**2 + 6. Let b = 1 + -2. Let y(q) = 2 + 1 - 2. Let l(t) = b*c(t) + 6*y(t). Let r(h) = -2*h**2. Calculate r(l(f)).
-2*f**4
Let m(c) = 7*c**2. Let o(a) = 23*a. Calculate m(o(q)).
3703*q**2
Let v(u) = 364*u**2. Let w(d) = 3*d. Give v(w(f)).
3276*f**2
Let m(a) = a**2. Let c(q) = -3 + 5*q**2 - 9*q**2 + 3. Calculate c(m(h)).
-4*h**4
Let q(w) = -18*w. Let t(z) = 19*z. Let c(d) = -4*q(d) - 3*t(d). Let u(v) = 2*v**2. Calculate c(u(g)).
30*g**2
Let u(d) = -2*d**2 - 120*d. Let n(c) = 2*c**2. Give n(u(p)).
8*p**4 + 960*p**3 + 28800*p**2
Let o(t) = -2*t**2. Let d(g) be the second derivative of 3*g**3/2 - g**2/2 - 50*g. Determine o(d(k)).
-162*k**2 + 36*k - 2
Let k(v) = 4*v**2. Let j(h) be the second derivative of h**3/2 + 10*h. Determine j(k(o)).
12*o**2
Let q(y) = y. Let i(p) = -16*p**2 - 3*p - 11. Let u(v) = i(v) + 3*q(v). Let c(b) = -3*b**2 - 2. Let l(d) = -33*c(d) + 6*u(d). Let m(f) = -2*f. Give l(m(w)).
12*w**2
Let v(w) be the second derivative of w**7/2520 + 5*w**4/12 + 5*w. Let i(a) be the third derivative of v(a). Let j(k) = 4*k**2. What is j(i(q))?
4*q**4
Let g be 6/(-4)*48/(-18). Let r(j) = j**3 - 6*j**2 - 6*j - 4. Let t be r(7). Let i(h) = -4*h + g*h - t*h. Let a(c) = 2*c**2. What is a(i(n))?
18*n**2
Let r(s) = 286 + 0*s**2 + 3*s**2 - 286. Let f(q) = q**2. Calculate r(f(n)).
3*n**4
Let l(b) = -710*b. Let v(g) = g. Calculate l(v(i)).
-710*i
Let w(a) = 4*a**2. Let s(l) = -l**2 - 3*l. Let k(v) = 2*v**2 + 7*v. Let y(o) = -6*k(o) - 14*s(o). Calculate y(w(p)).
32*p**4
Let x(o) be the second derivative of -o**3/3 + o. Let n(c) = -c**2 + 1. Let f(w) = 5*w**2 - 2. Let h(r) = f(r) + 2*n(r). What is h(x(u))?
12*u**2
Let w(v) = v. Let i(d) = 3*d. Let q(y) = -6*i(y) + 17*w(y). Let b(t) = 3*t. What is q(b(n))?
-3*n
Let b(g) = -g**2 + 2*g - 2. Let l(i) = -i**2 + 3*i - 3. Let u(c) = -3*b(c) + 2*l(c). Let f(n) = -6*n - 3*n + 4*n + 2*n. Give u(f(o)).
9*o**2
Let a(g) = g + 3633. Let d(u) = u. Give d(a(l)).
l + 3633
Let l(f) be the first derivative of 2*f**3/3 - 2. Suppose 0 = o - 3*o. Let k(u) = -u**2 + 2*u**2 + o*u**2. What is k(l(v))?
4*v**4
Let l(g) = g**2 - 3*g. Let f(u) = -u**2 + 2*u. Let p(x) = 3*f(x) + 2*l(x). Let m(r) = r**2 - 5*r + 5. Let o be m(5). Let a(d) = -o*d - 1 + 1. What is a(p(y))?
5*y**2
Let o(p) = p**2. Let n be 6/(-27) - 3/(216/(-124)). Let d(s) be the first derivative of -1 + 0*s - n*s**2. Calculate o(d(q)).
9*q**2
Suppose 5*d - 6 = 4. Let f(n) = d*n + 8*n + n. Let u(q) = -2*q. What is u(f(m))?
-22*m
Let x(z) = 1064*z**2. Let s(g) = -2*g. What is x(s(n))?
4256*n**2
Let s(n) = 2*n**2. Let q(f) = 6*f + 1. What is q(s(x))?
12*x**2 + 1
Let m(d) be the first derivative of -d**2 - 2. Let q(o) = -10*o. Calculate q(m(f)).
20*f
Let w(c) be the third derivative of c**4/12 + 33*c**2 + 3. Let b(l) be the first derivative of -l**2 + 1. Give w(b(g)).
-4*g
Let m(s) = -2*s. Let w(u) = -136*u. Let j(v) = 15*v. Let l(q) = 28*j(q) + 3*w(q). What is l(m(d))?
-24*d
Let j(r) = 150*r. Let q(a) = -2*a**2. What is j(q(y))?
-300*y**2
Let g(q) = q**2 + 6*q - 6. Let v(k) = 3*k**2 + 17*k - 17. Let s(y) = 17*g(y) - 6*v(y). Let i(r) be the first derivative of -3*r**2/2 - 1. What is i(s(u))?
3*u**2
Let m(o) be the first derivative of o**2/2 - 2. Let s(n) = -n. Let d(h) = -3*h. Let v(k) = d(k) - 2*s(k). What is v(m(w))?
-w
Let y(g) be the third derivative of 3*g**5/20 - 7*g**2. Let z(v) = -6*v**2. Determine y(z(f)).
324*f**4
Let u(x) = -919*x**2. Let f(g) = -g**2. Determine u(f(k)).
-919*k**4
Let n(g) = 2*g. Let k(v) = 0*v - 5*v - 8*v. Calculate n(k(f)).
-26*f
Let w(f) = 5*f**2. Let v(z) = -1406*z**2. Determine v(w(q)).
-35150*q**4
Let j(i) = -i**2. Let d(w) = 869*w**2. Give d(j(m)).
869*m**4
Let u be 8 - (-2 + -2 + 0). Let b(w) = 14*w + 2*w**2 - u*w - 2*w. Let n(j) = -14*j**2. Determine n(b(m)).
-56*m**4
Let l(n) be the first derivative of 3*n**2/2 - 6. Let m(q) = q**2. Calculate l(m(h)).
3*h**2
Let i = 4 + 0. Let x(d) = 0*d + d - i*d. Let p(k) = -2*k. What is p(x(c))?
6*c
Let o(x) = 14*x**2. Let p(l) = -5*l. Calculate o(p(c)).
350*c**2
Let f(o) = o. Let j(p) be the third derivative of 3*p**2 + 1/30*p**5 + 0*p**3 + 0*p**4 + 0 + 0*p. What is f(j(q))?
2*q**2
Let c(l) = -l**2. Let w(k) = k + k + 8*k + 0*k. What is w(c(j))?
-10*j**2
Let u(y) = -8*y**2 - 14*y**2 + 18*y**2. Let m(q) = 3*q. Determine m(u(t)).
-12*t**2
Let u(a) = -a**2. Let j(g) = 5*g - 3. Let m be j(2). Let