h**2. Let y(z) = 2*z**2 + 1. Let g be y(1). Let t(q) = -g*q**2 + 13*q**2 - 9*q**2. What is r(t(p))?
-4*p**4
Let r(z) be the first derivative of -2*z**3/3 + 7. Let k(u) = 3. Let j(i) = i - 1. Let f(s) = 6*j(s) + 2*k(s). Determine f(r(g)).
-12*g**2
Let p(g) be the first derivative of -13*g**3/3 + 57. Let t(l) = -3*l**2. Determine p(t(o)).
-117*o**4
Let i = 1 - -1. Let s(d) = i*d**2 + 2*d**2 - 6*d**2. Let q(z) be the second derivative of z**4/12 - 2*z. What is q(s(v))?
4*v**4
Let a(v) = 40*v**2 - 5*v - 2. Let x(u) = u. Determine a(x(b)).
40*b**2 - 5*b - 2
Let n(k) = -2*k**2. Let a(y) = 93*y. Calculate n(a(p)).
-17298*p**2
Let x(b) = 167*b. Let r(o) = o. Give x(r(a)).
167*a
Let x(v) = 156*v**2. Let k(a) = -a. Give k(x(d)).
-156*d**2
Let x(k) = -22*k**2. Let u(b) be the second derivative of b**3/6 + 11*b. What is x(u(l))?
-22*l**2
Let g(u) = -u. Let q(h) = -5544*h**2. Calculate g(q(b)).
5544*b**2
Let f(b) = 10*b**2 + 5*b**2 - 12*b**2. Let x(w) = -w. Give x(f(t)).
-3*t**2
Let f(x) = -2*x. Let a(r) = -r**3 + 8*r**2 + 2. Let j be a(8). Let i(h) = -j*h - 3*h + 6*h + 3*h. Calculate i(f(p)).
-8*p
Let t(a) = 3*a**2. Let y(l) = l**2. Let v(r) = t(r) - 2*y(r). Let o(w) = w. Give o(v(f)).
f**2
Let h(o) = -o. Let c(a) = -18*a - 11. Give h(c(z)).
18*z + 11
Let s(a) be the first derivative of 0*a + 0*a**2 - 2/3*a**3 + 3. Let q(k) = -2*k. Calculate q(s(g)).
4*g**2
Let g(b) = 1114*b. Let x(d) = 2*d**2. Determine x(g(k)).
2481992*k**2
Let u be -6 + (2/2)/1. Let d(k) = 2*k**2. Let s(h) = -3*h**2. Let c(f) = u*s(f) - 4*d(f). Let n(w) = -w**2. Give n(c(j)).
-49*j**4
Let l(p) be the first derivative of 3*p**2/2 - 18. Let g(w) be the third derivative of w**4/12 - w**2. Calculate l(g(o)).
6*o
Let l(g) be the second derivative of g**3/6 + 2*g. Let q(n) = -13*n**2 - 7*n - 7. Let j(k) = -4*k**2 - 2*k - 2. Let o(h) = -7*j(h) + 2*q(h). Give l(o(d)).
2*d**2
Let c(z) = 70*z. Let f(r) = -42*r. What is f(c(s))?
-2940*s
Let f(x) = -9894*x. Let r(m) = -3*m**2. Give f(r(i)).
29682*i**2
Let c(k) be the third derivative of k**3/6 + 2*k**2. Let m be 12/5 + 2/(-5). Let a(h) = -h + 1. Let w(g) = m*c(g) - 2*a(g). Let d(y) = -y**2. Give w(d(r)).
-2*r**2
Let c(n) be the second derivative of -n**4/24 - n**2 - n. Let w(q) be the first derivative of c(q). Let a(f) = -1 - f + 1. Calculate w(a(v)).
v
Let o(i) be the second derivative of i**6/180 - 7*i**3/6 - 8*i. Let w(p) be the second derivative of o(p). Let j(g) = -20*g**2. What is w(j(m))?
800*m**4
Let k(l) = -5 - 1 + 7*l**2 + 6. Let t(n) = -2*n. Give t(k(u)).
-14*u**2
Let d(b) be the second derivative of -b**4/3 - 4*b. Let x(p) = -3*p**2. Determine x(d(z)).
-48*z**4
Let u(p) be the second derivative of -3*p - 1/2*p**3 + 0 + 0*p**2. Let o(z) = -2*z. Calculate o(u(x)).
6*x
Let r(a) be the second derivative of -3*a + 0 + 0*a**2 + 1/3*a**3. Let d(m) = 4*m**2. What is r(d(g))?
8*g**2
Let p(j) = 28*j**2 + 1. Let m(c) = -5*c**2. Calculate p(m(s)).
700*s**4 + 1
Let q(m) = m. Let j(r) = 52*r**2 + 1. Calculate j(q(i)).
52*i**2 + 1
Let f(x) = -3 + 1 + 13*x**2 + 2. Let h(g) = -7*g - 6. Let b(o) = 6*o + 5. Let k(v) = 6*b(v) + 5*h(v). Determine k(f(j)).
13*j**2
Let s be 3/6*52*3. Let j(c) = s + c - 78. Let b(i) = -4*i**2. What is j(b(q))?
-4*q**2
Let z(g) be the first derivative of -2 + 0*g - 7/2*g**2. Let p(s) = -s**2. Calculate p(z(x)).
-49*x**2
Let z(k) = 2*k. Let w(n) = -n. Let y(a) = -8*w(a) - 3*z(a). Let x(r) = -6*r. Let p(g) = -5*g. Let i = -7 + 11. Let l(m) = i*p(m) - 3*x(m). Determine y(l(t)).
-4*t
Let x(o) = -7*o**2. Let i = -4 + 7. Suppose 4*d + 1 = 5*d. Let k(a) = -i*a**2 + 2*a**2 + 1 - d. Calculate k(x(m)).
-49*m**4
Let r(w) = 20*w**2. Let q(g) = 3*g. Determine r(q(k)).
180*k**2
Let t(s) = -2*s. Let j be (-1 - -4)/(-3) + 0. Let p be j*2 + (9 - 5). Let r(u) = -p*u + 2*u**2 - 3*u + 5*u. Determine r(t(m)).
8*m**2
Let w(y) = 3*y**2. Let s(t) = -7*t**2 + 2*t**2 + t**2 - 2*t**2. What is s(w(z))?
-54*z**4
Let n(r) = 9*r**2. Suppose 0*y - 6 = -3*y. Let o(l) = 7*l**2 - 4*l**y - 2*l**2. Give n(o(h)).
9*h**4
Let u(s) = -2*s - 3. Let q be u(-5). Let x(d) = -q*d**2 - 7*d**2 + 12*d**2. Let y(w) = -5*w**2. Determine x(y(r)).
-50*r**4
Let v(i) = -185*i. Let s(d) = -2*d. Calculate v(s(t)).
370*t
Let n(p) = 6*p. Let c(x) = -2*x. Calculate c(n(l)).
-12*l
Let a(r) = r - 7*r + 4*r - 8*r. Let i(f) = -2*f. Determine i(a(u)).
20*u
Suppose 3*d + 6 = -5*j, -2*j - 5*d = j + 10. Let a(w) = 0*w - w**2 + j*w. Let f(v) = 3*v. Let l(u) = 2*u. Let g(o) = -5*f(o) + 9*l(o). Give a(g(r)).
-9*r**2
Let m(h) = h - 1. Let f be m(2). Let b be 2*(-2)/4 + f. Let y(a) = 2*a**2 - 4*a**2 + b*a**2. Let q(c) = 2*c. Determine y(q(o)).
-8*o**2
Let f(b) be the third derivative of -b**7/1680 - b**5/60 - b**2. Let r(l) be the third derivative of f(l). Let w(d) = d**2. Calculate w(r(j)).
9*j**2
Let g(q) = q. Let z(p) = -200*p. Let s(h) = -25*h. Let a(c) = -25*s(c) + 3*z(c). What is a(g(x))?
25*x
Let c(k) = -3*k**2 - 111*k. Let m(y) = 3*y**2. Calculate c(m(s)).
-27*s**4 - 333*s**2
Let c(p) = -p**2. Let s(g) = 6*g + 127. What is c(s(q))?
-36*q**2 - 1524*q - 16129
Let k(v) = -v - 5. Let o(l) = -3*l - 3*l + 5*l - 1 - 2. Let d(y) = -3*k(y) + 5*o(y). Let g(a) = 5*a - a - 3*a. Give g(d(u)).
-2*u
Let f(h) = -6*h. Let d(y) = 12*y**2. What is f(d(k))?
-72*k**2
Let s(y) = y. Let i(a) be the first derivative of 3*a**2/2 - 4. Give s(i(r)).
3*r
Suppose y - r + 3 = 0, -r - 15 = -6*r. Let i(z) = z + y*z + 2*z. Let l(n) = -2*n. Give i(l(g)).
-6*g
Let p(g) = 16*g. Let a(i) = -40*i. Determine p(a(m)).
-640*m
Let u(z) = -20*z + 8. Let k(h) = -13*h + 5. Let i(v) = 8*k(v) - 5*u(v). Let l(d) = -d**2. Give l(i(m)).
-16*m**2
Let x(g) = -2*g**2. Let r(k) = 47*k + 1. Give x(r(y)).
-4418*y**2 - 188*y - 2
Suppose -305 = 2*n - 7*n + 5*k, -4*k = -2*n + 124. Let l(u) = -n - 3*u + 60. Let b(c) = c. Determine b(l(v)).
-3*v
Let r(o) = -3*o**2. Let u(f) = 2*f**2 + 4*f + 3. Let t be u(-2). Suppose -v - 1 = -2*v, -3*v - t = -2*q. Let x(a) = q*a - a + 0*a. Give x(r(m)).
-6*m**2
Let p(t) = -t**2. Let q(d) be the second derivative of -d**3/2 + 3*d. Give p(q(j)).
-9*j**2
Let s(h) = 4*h + 13. Let n(p) = -2*p - 6. Let f(k) = -13*n(k) - 6*s(k). Let o(q) = -2*q**2. What is o(f(y))?
-8*y**2
Let m(n) be the third derivative of n**5/30 + 23*n**2. Let v(w) = 7*w + 1. Determine v(m(z)).
14*z**2 + 1
Let t(k) = 5*k. Let x(j) be the first derivative of -5*j**3/3 + 8. Determine x(t(h)).
-125*h**2
Let c(v) be the second derivative of -v**4/6 + 5*v. Let j(x) = x**2. Calculate c(j(z)).
-2*z**4
Suppose 2*r - 11 - 1 = 0. Let m(l) = 3 - 3 - r*l**2. Let i(q) = -q**2. Determine m(i(k)).
-6*k**4
Let p(g) = 11 - 11 + 0*g**2 - g**2. Let c(z) = 10*z. What is p(c(y))?
-100*y**2
Let j(h) = -18*h**2. Let m(o) = -7*o. Let d(k) = -8*k. Let w(i) = -5*d(i) + 6*m(i). Calculate j(w(r)).
-72*r**2
Let r(g) = -5*g + 5*g**2 + 5*g. Let f(m) = m + 3 - 4 + 3. Let z(u) = -3*u - 7. Let s(h) = 7*f(h) + 2*z(h). Determine r(s(t)).
5*t**2
Let a(i) = -3*i**2. Let m(k) = k**2 + 4*k**2 - 6*k**2. Let v(d) = d**2. Let j(c) = -m(c) - 2*v(c). What is a(j(y))?
-3*y**4
Let h(x) = -12*x. Let s(q) be the second derivative of q**3/6 + 12*q. Calculate s(h(w)).
-12*w
Let v(d) = -2*d**2. Let i(q) = -142 - 4*q**2 + 142. What is v(i(r))?
-32*r**4
Let f(j) = -4*j**2. Let u = -5 + 6. Let v(y) be the first derivative of -1/2*y**2 + 0*y - u. Determine v(f(g)).
4*g**2
Let r(n) = -n**2 - 5. Let m(b) = 1. Let u(l) = -5*m(l) - r(l). Let g(y) = -4*y - 5. Let p(z) = -2*z - 3. Let q(i) = 3*g(i) - 5*p(i). What is q(u(h))?
-2*h**2
Let t(k) = -k**2. Let o(y) = 140*y + 31. Give t(o(a)).
-19600*a**2 - 8680*a - 961
Let p(y) = 2*y. Let a(t) be the first derivative of 11*t**2/2 + t + 13. What is p(a(i))?
22*i + 2
Let i(u) = 2 + 10*u**2 - 2 + 0*u + 5*u + 5. Let t(q) = 9*q**2 + 4*q + 4. Let s(c) = 4*i(c) - 5*t(c). Let x(p) = -2*p**2. What is s(x(k))?
-20*k**4
Let m(u) = 272*u**2. Let y(r) = -7*r. Calculate m(y(j)).
13328*j**2
Let c(k) = -129*k**2 + 9*k. Let x(d) = -32*d**2 + 2*d. Let g(s) = -2*c(s) + 9*x(s). Let y(o) = o**2. Determine y(g(v)).
900*v**4
Let j = 304 + -7295/24. Let z(r) be the third derivative of 0*r**3 - 2*r**2 - j*r**4 + 0 + 0*r. Let l(w) = -2*w. Give z(l(m)).
2*m
Let a(x) = 19*x**2. Let z(f) = -3*f + 39. Determine z(a(y)).
-57*y**2 + 39
Let c(u) = -2*u**2. Let w(o) = -2*o - 2*o - 4*o - 4*o. Deter