 13*o**2. Give i(p(r)).
13*r**2
Let c(m) = 2*m**2. Let i(d) = 119*d**2 + 8. Let q(s) = -40*s**2 - 3. Let k(g) = 3*i(g) + 8*q(g). Give k(c(j)).
148*j**4
Let k(v) = -4*v**2 + 2*v + 2. Let j(h) = 12*h**2 - 7*h - 7. Let i(a) = 4*j(a) + 14*k(a). Let z(w) = -2*w. What is i(z(x))?
-32*x**2
Let z(s) = -5*s. Let r(j) = 54*j - 34*j - 25*j. What is z(r(y))?
25*y
Let q(g) be the first derivative of g**2 - 1. Let p = 4 + -2. Let s(i) = 3*i - p + 2 - 2*i. What is q(s(v))?
2*v
Let y(o) be the second derivative of 0 + 0*o**2 - 1/3*o**3 - 4*o. Let k(n) = 2*n**2. Determine y(k(c)).
-4*c**2
Suppose g - 18 = 5*t, -12 = g + 4*t - 3. Let f(b) be the second derivative of 0 + 1/3*b**3 + g*b + 0*b**2. Let h(k) = 4*k. Determine h(f(q)).
8*q
Let u(t) be the second derivative of t**4/3 - 14*t. Let y(v) = -3*v**2. Determine u(y(h)).
36*h**4
Let c(r) = -2*r. Let t(o) = 22 - 13 + 5*o - 9. Determine t(c(u)).
-10*u
Let m(r) = 7*r + 6. Let o(v) = -13*v - 11. Suppose -3*u = 2*y + 24, -5*y + u - 34 = 2*u. Let h(x) = y*o(x) - 11*m(x). Let k(d) = -d**2. Calculate h(k(i)).
-i**2
Let q(g) = 102 - 102 - g. Let z(d) = 7*d**2. What is q(z(x))?
-7*x**2
Let j(a) = a. Let i(b) = 6*b + 3. Give j(i(l)).
6*l + 3
Let h(y) = -2*y**2. Let i(w) = -w**2. Let d(x) = -2*h(x) + 6*i(x). Let u(p) be the third derivative of -p**5/60 - 7*p**2. Calculate d(u(l)).
-2*l**4
Let s(z) = z**2 + 1. Let h(r) = -215*r. Determine s(h(f)).
46225*f**2 + 1
Let h be (-1)/(-1 + 1/2). Let k(z) = -2 + 2*z**h + 2 + 0*z**2. Let g(w) = w**2. Determine k(g(p)).
2*p**4
Let g(k) = -10*k - 14. Let i(x) = -x**3 - 4*x**2 + 3. Let j be i(-3). Let q(d) = 2*d + 3. Let z(t) = j*g(t) - 28*q(t). Let l(a) = a + 0*a + a. Give z(l(f)).
8*f
Let h(o) = -2*o**2. Let s(z) = -10*z + 1. Give h(s(k)).
-200*k**2 + 40*k - 2
Let t(d) = -3*d**2. Let p(y) = 3*y**2 - 5*y - 5. Let h(u) = -u**2 + u + 1. Let v(z) = 5*h(z) + p(z). Give v(t(l)).
-18*l**4
Let z(f) be the second derivative of f**3/3 - 3*f + 27. Let c(x) = -4*x**2 + 0*x**2 + 3*x**2. What is z(c(p))?
-2*p**2
Let c(d) = 17*d. Let z(w) = 24*w**2. Give z(c(t)).
6936*t**2
Let w(q) = -15*q**2 + 9*q**2 + 4*q**2. Let h(f) = -3*f**2 - 6. Give h(w(y)).
-12*y**4 - 6
Let f(s) = -6*s**2. Let v(d) = 49*d**2 - 4. Calculate f(v(o)).
-14406*o**4 + 2352*o**2 - 96
Let z(s) = -24*s + 32. Let n(f) = f - 1. Let j(k) = -96*n(k) - 3*z(k). Let u(d) = 4*d. Determine u(j(g)).
-96*g
Let i(n) = -2*n**2. Let f(s) = -s**2 - 31. Give i(f(g)).
-2*g**4 - 124*g**2 - 1922
Let y(h) be the second derivative of -h**3/2 + 11*h + 2. Let d(f) = -f + 5. Let v(b) = -2*b + 8. Let a(x) = 8*d(x) - 5*v(x). Calculate y(a(g)).
-6*g
Let y(l) = l**2 - 21548*l. Let w(s) = -2*s. Calculate y(w(o)).
4*o**2 + 43096*o
Let p(c) = -c**2. Suppose -3*f + 4*w = -f + 6, -3 = 4*f - 5*w. Let m = f - 3. Let s(u) = 0*u + m*u - 5*u + 3*u. What is s(p(i))?
2*i**2
Let v(b) be the second derivative of -b**4/6 + 2*b. Let g(f) be the third derivative of -f**5/15 + 2*f**2. What is g(v(j))?
-16*j**4
Let c(n) = 6*n**2 - 5*n. Let p(a) = a**2. Calculate p(c(s)).
36*s**4 - 60*s**3 + 25*s**2
Let v(d) = 3*d. Let s(w) be the first derivative of 2*w**3/3 + 4. Let a(u) = 2*u**2. Let i(x) = 2*a(x) - 3*s(x). Determine v(i(g)).
-6*g**2
Let x(h) = -5 + 0*h + h + 5. Let u(i) = i. Give x(u(t)).
t
Let n(r) = r - 1. Let c(q) = 10*q - 11. Let p(w) = -2*c(w) + 22*n(w). Let x(a) = -8*a**2 + 2. Determine p(x(j)).
-16*j**2 + 4
Let j(f) = 3*f - 14*f + 10*f. Let i(o) = -4*o. Give i(j(p)).
4*p
Let k(z) = 0*z**2 + 2*z**2 + z**2. Let m(o) = 3*o - 377 + 377. Determine k(m(q)).
27*q**2
Let p(r) = -31*r**2 + 3. Let b(c) = 2*c. Calculate b(p(j)).
-62*j**2 + 6
Let f(c) be the third derivative of c**4/6 + 9*c**2. Let i(x) = x**2. Give f(i(g)).
4*g**2
Let u(w) be the first derivative of w**2/2 - 20. Let n(m) = 14*m**2. Calculate u(n(r)).
14*r**2
Let x(q) = -10*q**2. Let i(g) be the third derivative of g**5/30 - 6*g**2. Let v(a) = 33*i(a) + 6*x(a). Let j(s) = -2*s. What is v(j(t))?
24*t**2
Let a(w) = -w**2. Let x(j) = -231*j**2. What is x(a(t))?
-231*t**4
Let l(a) = a - 3*a**2 - a. Let r(h) = 6*h + 3*h - 8*h. Calculate l(r(d)).
-3*d**2
Let u(d) = d. Let b(y) = 5*y**2 + 0*y**2 - 3*y**2 + 3 - 6*y - y**2. Let m be b(6). Let a(s) = m*s + 4*s - 4*s. Determine a(u(f)).
3*f
Let p(o) = -o**2 + 12*o + 0*o**2 - 12*o. Let d(i) = -4*i**2. What is d(p(s))?
-4*s**4
Let f(o) be the third derivative of -o**5/60 - o**2. Suppose -2*b - 10 = -2. Let w(u) = u - 3. Let l(s) = -2*s + 4. Let i(r) = b*w(r) - 3*l(r). Give f(i(h)).
-4*h**2
Let i(u) = -54*u - 13. Let f(q) = q**2. Calculate f(i(j)).
2916*j**2 + 1404*j + 169
Let f(z) = -60*z**2 - 42. Let w(s) = 7*s**2 + 5. Let k(p) = -5*f(p) - 42*w(p). Let t(l) = 0*l + 8*l**2 - 9*l**2 + 0*l. Calculate k(t(r)).
6*r**4
Let m(w) = 3*w. Let q be (0 + -3)*6/(-9). Let r(d) = 2*d**q + d**2 - 4*d**2 + 0*d**2. What is r(m(k))?
-9*k**2
Let d(s) = 13*s + 11. Let f(w) = -7*w - 6. Let h(v) = 6*d(v) + 11*f(v). Let j(p) be the second derivative of -p**4/3 + p. Give h(j(o)).
-4*o**2
Let b(l) = -5*l**2 + 3. Let a(s) = 35*s. Give b(a(g)).
-6125*g**2 + 3
Let i(t) = 98*t**2 - 2*t. Let u(p) = -p. What is u(i(b))?
-98*b**2 + 2*b
Let j(u) = 10*u. Let f(z) = -14*z**2 + 24*z**2 - 15*z**2. Calculate j(f(p)).
-50*p**2
Let r(y) = 0*y - 4 + 2*y + 1. Let q(p) = -p + 1. Let o(z) = 3*q(z) + r(z). Let u(m) = 2*m. Give u(o(g)).
-2*g
Let p(y) be the second derivative of -y**5/30 - y**2 + y. Let s(d) be the first derivative of p(d). Let h(k) = 2*k. What is s(h(o))?
-8*o**2
Let r(k) = k**2. Let u(w) be the second derivative of -1/3*w**3 - w + 0 + 0*w**2. Calculate u(r(h)).
-2*h**2
Let w(f) = -2*f. Let b(s) = -4*s**2 - 21. What is b(w(j))?
-16*j**2 - 21
Let k(b) = -2*b. Let s(i) be the third derivative of i**7/2520 + i**5/30 + 3*i**2. Let a(m) be the third derivative of s(m). Give a(k(v)).
-4*v
Let m(q) = -2*q**2. Let w(s) = 15*s - 5. Let l(p) = 7*p - 2. Let d(c) = 10*l(c) - 4*w(c). Determine d(m(t)).
-20*t**2
Let u(s) = 2*s - s + 0*s. Let y(f) be the first derivative of -f**5/20 - f**2 + 3. Let n(z) be the second derivative of y(z). Give n(u(r)).
-3*r**2
Let p(n) = 2*n. Let h(f) be the third derivative of 0 + 3*f**2 + 0*f**3 + 0*f + 3/8*f**4. Determine p(h(z)).
18*z
Let c(m) = 2*m - 3. Let p(n) = 10*n - 14. Let g(t) = 14*c(t) - 3*p(t). Let a(q) = 9*q**2. What is a(g(v))?
36*v**2
Let v = -3 - -5. Let z(y) = -2 - 2*y + v. Let i(s) = 17*s + 9. Let m(x) = 4*x + 2. Let k(h) = -2*i(h) + 9*m(h). Give k(z(a)).
-4*a
Let y(g) = g**2. Let z = 12 - 10. Let t(c) = -17*c**z + c + 6*c**2 - c. Determine y(t(h)).
121*h**4
Let m(h) = -h. Suppose -4*q = 0, 6*q + 12 = 2*n + q. Let f(i) = 6 - n + i. Give m(f(y)).
-y
Let w(x) = 2*x + 3. Let t(a) = a + 1. Let f(k) = 3*t(k) - w(k). Let g = 16 + -11. Let b(h) = 0*h - 4*h + g*h. Give b(f(m)).
m
Let f(z) = -z**2 - 15*z**2 + 6*z**2. Let o(t) = -t. What is f(o(v))?
-10*v**2
Let z(i) = -i - 3. Let w(h) = -1. Let x(y) = -3*w(y) + z(y). Let u(r) be the first derivative of 2*r**2 + 196. Calculate u(x(t)).
-4*t
Let i(y) = -y**2 - 28. Let x(l) = 4*l. Determine i(x(f)).
-16*f**2 - 28
Let g(k) = -65*k. Let t(a) = -5*a. What is g(t(q))?
325*q
Let z(g) = g. Suppose -l - 5*o = -12, 2*l + 2*o - 6 - 2 = 0. Let f(x) = l*x**2 - 2*x**2 + 3*x**2 - x**2. What is f(z(p))?
2*p**2
Let x(b) = 3*b**2. Let w(v) be the first derivative of 0*v**2 + 2/3*v**3 + 0*v - 6. Determine w(x(y)).
18*y**4
Suppose 0 = -c - 3*c - 2*u, 3*u = 2*c. Let n(h) = c + h + 0. Let l(d) = 2*d**2 + 1 - 1. Calculate l(n(v)).
2*v**2
Let m(f) = -1 - 2*f**2 + 1 + 4*f**2. Let r(y) be the second derivative of 7*y**3/6 - 4*y. Calculate m(r(a)).
98*a**2
Let s(m) = 5*m + 2*m - 5*m. Suppose -2 + 5 = i. Let h(r) = 4*r - i*r**2 - 4*r. Determine s(h(a)).
-6*a**2
Let i(k) = k. Let v(j) = 4*j**2 + 5*j - 5. Let u(t) = -t**2 - t + 1. Let d(h) = -5*u(h) - v(h). Determine d(i(g)).
g**2
Let p(i) = 11*i - 9. Let q(j) = 5*j - 4. Let h(c) = 4*p(c) - 9*q(c). Let n(f) = -2*f**2. Let w(l) = 3*l**2. Let t(v) = 5*n(v) + 3*w(v). Determine h(t(m)).
m**2
Let w(u) be the first derivative of -u**3/3 - 10. Let d(k) = -19*k - 11. Let a(c) = -10*c - 6. Let y(p) = -11*a(p) + 6*d(p). Determine w(y(n)).
-16*n**2
Suppose -8*g = -14*g + 12. Let o(a) be the second derivative of 2*a + 0*a**g - 1/3*a**3 + 0. Let m(v) = -6*v**2. Calculate m(o(l)).
-24*l**2
Let a(b) = -4*b**2. Let o(v