first derivative of y(z). Let x(k) = k**2. Calculate x(s(w)).
36*w**2
Let b(v) = 3*v**2 + 4. Let w(p) = -8*p**2 - 11. Let r(c) = -11*b(c) - 4*w(c). Let a(s) = -s**2. Give a(r(k)).
-k**4
Let q(i) be the second derivative of i**4/12 - 16*i. Let a(p) = -16*p. Calculate q(a(v)).
256*v**2
Let z(k) = k**2. Let t(w) = 3*w - 8*w - 2*w - 12*w**2. Let i(o) be the first derivative of 4*o**3/3 + o**2 - 1. Let q(x) = -14*i(x) - 4*t(x). What is q(z(d))?
-8*d**4
Let p = 9 + 5. Let g(h) = -p*h - h + 0*h. Let b(u) = u**2. Determine b(g(c)).
225*c**2
Let h be 3*(-2 + 7/3). Let a(u) = h + u - 1. Let x(z) = 13*z**2 - 27*z**2 + 13*z**2. Determine a(x(t)).
-t**2
Let y(s) be the third derivative of -s**7/1680 + 2*s**5/15 - 3*s**2. Let q(a) be the third derivative of y(a). Let z(v) = 2*v. What is q(z(w))?
-6*w
Let w(j) = -3*j. Let s(u) = -3*u**3 - 1. Let r be s(-1). Let v be (-3)/(-2) - 3/r. Let o(x) = v*x**2 - 4*x**2 + 2*x**2. Calculate o(w(z)).
-18*z**2
Let i(t) = 35*t. Let f(l) = -20*l**2. Give f(i(s)).
-24500*s**2
Let t(j) = 4*j. Let c(b) be the first derivative of -3/2*b**2 + 2 + 0*b + 1/12*b**4 + 0*b**3. Let p(i) be the second derivative of c(i). Calculate p(t(s)).
8*s
Let f(j) = 2*j**2 + 18*j. Let b(h) = 3*h. What is f(b(w))?
18*w**2 + 54*w
Let v(i) = -8*i. Let o(s) = s. Let q(w) = -4*o(w) - 2*v(w). Let p(y) = -2*y. Determine q(p(f)).
-24*f
Let w(v) = -3*v**2. Suppose -3*b = -5 - 1, 3*r + 5*b = 40. Suppose r = 2*p, 5*z - 2*p + 8 = 4*z. Let h(l) = -2 + 2 + 2*l**z. What is h(w(t))?
18*t**4
Let s(f) = -3*f. Let k be (-3)/(-2)*8/6. Let n(r) = 0*r**2 + r**2 - 6*r**k. Determine n(s(m)).
-45*m**2
Let h(m) = -2. Let k(b) = -13*b - 5. Let t(v) = 2*h(v) - k(v). Let w(l) = -l. Give t(w(n)).
-13*n + 1
Let p(m) be the second derivative of -2*m + 1/6*m**3 + 0*m**2 + 0. Let s(j) = 0*j**2 + 0*j**2 - 2*j**2. Give p(s(n)).
-2*n**2
Let c(u) = -2*u**2. Let r(w) be the second derivative of w**6/144 - w**4/12 - w. Let p(t) be the third derivative of r(t). What is p(c(s))?
-10*s**2
Let u(i) = 2*i. Let y = 0 + 7. Let v(r) = 2*r + y*r + 3 - 3. Determine v(u(b)).
18*b
Let h(r) be the third derivative of 11*r**4/3 + 3*r**2 + 5. Let p(q) = q. Calculate p(h(u)).
88*u
Let v(s) = s**2. Let t(w) be the first derivative of w**5/60 + 3*w**2/2 + 3. Let r(m) be the second derivative of t(m). Calculate r(v(n)).
n**4
Let u(j) = 5*j**2 - 3*j**2 + 2*j**2. Let i(m) = -5*m**2. Calculate i(u(s)).
-80*s**4
Let c(j) = 12*j**2. Let r(d) = 8*d**2. Give r(c(v)).
1152*v**4
Let q(x) = 6*x - 4*x + 3*x. Let w(y) be the third derivative of -y**4/12 - 2*y**2. What is q(w(c))?
-10*c
Let l(w) = 18*w**2 + w. Let k(v) = 19*v**2. What is l(k(m))?
6498*m**4 + 19*m**2
Let h(q) = 8*q + 6. Suppose -3*f = -4*j + 3 - 4, 2*j - 1 = 3*f. Let y(k) = k + 1. Let d(b) = f*h(b) + 6*y(b). Let x(c) = 2*c. Give d(x(z)).
-4*z
Let w(j) = 15*j**2 + 2. Let h(r) = -r. Give h(w(f)).
-15*f**2 - 2
Let d(p) = -14*p**2. Let l(n) be the second derivative of n**4/6 + 45*n. Determine d(l(q)).
-56*q**4
Let u(b) = 2*b. Let k(m) = -m + 21. Determine u(k(q)).
-2*q + 42
Suppose -5*i - 3*o + 4 = 0, 5*i - 4*o = -2*o + 14. Let l(x) = -i*x - x + x. Let b(c) = c. Let v(t) = -14*t. Let f(a) = -8*b(a) - v(a). Give f(l(r)).
-12*r
Let i(x) be the first derivative of -x**2/2 - 2. Let j(g) = 0 + 0 + 2*g. Give j(i(m)).
-2*m
Let a(p) = p**2 - 3. Let z(r) = 2*r**2 - 4. Let u(x) = 4*a(x) - 3*z(x). Let q(o) = 11*o**2. Determine q(u(b)).
44*b**4
Let y(k) be the third derivative of k**5/30 - 7*k**2. Let p(v) be the second derivative of v**3/3 + v. Determine y(p(f)).
8*f**2
Suppose 0 = -3*f + g + 9, 2*g = 3*f - 9 - 3. Let v be (f/1 + -2)/2. Let a(w) = v*w - w - w. Let i(p) = 2*p. Give a(i(t)).
-4*t
Let r(w) = 2*w. Let v(z) = z - 116. Calculate v(r(x)).
2*x - 116
Let b(d) be the first derivative of 10*d**3/3 + 2. Let v(r) = 2*r. Calculate b(v(t)).
40*t**2
Let r = -4 - -7. Let t(p) = -5*p**2 + r*p**2 + 0*p**2. Let i(j) = 2*j. Give i(t(x)).
-4*x**2
Let j(f) = f. Let z(s) be the second derivative of s**6/720 + s**4/6 + 3*s. Let k(o) be the third derivative of z(o). Give k(j(c)).
c
Let v(r) = -5*r**2. Let o(s) = -s**2 - 1. Let a be o(2). Let t(n) = -2*n**2 + 5. Let y(m) = m**2 - 2. Let l(i) = a*y(i) - 2*t(i). Determine l(v(d)).
-25*d**4
Let w(f) = f**2. Suppose -6*h + 20 = -h. Suppose h = a + 2. Let s(q) = 24*q**2 - 2 + a - 21*q**2. Calculate s(w(t)).
3*t**4
Let m(g) = -2*g. Let p(w) = w. Let o(n) = n**2 - n - 1. Let k be o(0). Let z = -2 + 1. Let d(b) = 3*b. Let v(l) = k*d(l) + z*p(l). What is m(v(j))?
8*j
Let p(d) = d. Let b(t) = -503*t**2 + 1. Determine p(b(z)).
-503*z**2 + 1
Let n(p) = -17*p + 20*p - 13*p. Let q(m) = -20*m - 14. Let l(h) = 7*h + 5. Let g(d) = 14*l(d) + 5*q(d). Give g(n(k)).
20*k
Let v(u) = -u**2. Let p(f) = -2*f + 42. What is p(v(n))?
2*n**2 + 42
Let u(x) = -2*x. Let y(j) = -j**2 + 4*j + 2. Let i be y(4). Suppose 5 = -4*n - 5*k, 2*n - 2 = -n + i*k. Let g(q) = -q - q + n*q. What is u(g(r))?
4*r
Let s(a) = -5*a**2 + 4*a**2 + 5*a**2 + a**2. Let x(u) = -u**2. What is s(x(t))?
5*t**4
Let w(d) = -3*d. Let p(s) = s**2 - 5*s + 1. Let x be p(5). Suppose -2*v + 1 = -x. Let u(q) = q + 1 - v. What is u(w(a))?
-3*a
Let b(f) = f. Let h(p) = 3*p. Let r(y) = -6*b(y) + h(y). Let q(z) be the first derivative of z**3/3 - 4. Determine q(r(g)).
9*g**2
Let o(t) = -2*t - 2. Let a be o(-2). Let h(s) = -5*s + a*s + s - s. Let c(l) = l**2. Give c(h(p)).
9*p**2
Let i(w) be the second derivative of -w**3/2 + w. Suppose 0 = -2*m + m. Let q(y) = -y - y + m*y. Calculate i(q(d)).
6*d
Let g(l) = 17*l. Let v(o) = 18*o. Let p(i) = -6*g(i) + 5*v(i). Let c(k) = 7*k. What is p(c(t))?
-84*t
Let k(h) = -10*h**2. Let f(j) = -3*j. Calculate f(k(i)).
30*i**2
Let b(x) = -2*x**2 - 2. Let h(s) = -3. Let j(g) = -1. Let p(t) = h(t) - 4*j(t). Let v(u) = -b(u) - 2*p(u). Let w(c) = -4*c. What is w(v(n))?
-8*n**2
Let r(k) = 2*k. Let v(n) = -12*n + 0 + 4 - 4. Calculate v(r(h)).
-24*h
Let g(z) = -5*z. Suppose -2*s - n - 17 = 0, -n + 5 + 0 = 0. Let f(q) = -9*q. Let t(d) = s*g(d) + 6*f(d). Let k(c) = 28*c - 63*c + 36*c. Determine k(t(p)).
p
Let d(h) = -87*h + 41*h + 45*h. Let b(n) = -4*n**2. Give d(b(c)).
4*c**2
Let x(r) = 4*r**2. Let l(o) = 628*o**2. Give x(l(q)).
1577536*q**4
Let c(j) = -j. Let a(h) be the third derivative of 0*h**3 + 3*h**2 + 0 - 1/4*h**5 + 0*h + 0*h**4. What is c(a(i))?
15*i**2
Let p(t) = -3*t**2 - t**2 + 6*t**2 + 3*t**2. Let v(x) = x. Determine p(v(b)).
5*b**2
Let j(g) = 2*g**2. Let o(v) = -v + 0*v + 10*v + 6*v. What is o(j(k))?
30*k**2
Let j(q) = 5 - 5 - 21*q + 19*q. Let a(p) = -23*p. Let s(m) = 15*m. Let r(z) = 5*a(z) + 8*s(z). What is r(j(u))?
-10*u
Let t(b) = 3*b**2. Let j(m) = 8198*m**2. Determine t(j(l)).
201621612*l**4
Let t be 2*(-2 + (-39)/(-6)). Let v(n) = n + t - 9. Let x(i) = -2*i**2 - 5 + 5. Determine v(x(z)).
-2*z**2
Let t(m) = m**2 - 8*m - 4. Let j(b) = -b**3 + 10*b**2 - 9*b + 9. Let h be j(9). Let o be t(h). Let a(r) = 3 - o*r**2 - 4 + 1. Let g(v) = v**2. Give g(a(l)).
25*l**4
Let u = -3 - -5. Suppose 3*o = -u*d - 12, d + 2*d - 3*o - 12 = 0. Let k(f) = 8 + d*f - f - 8. Let a(x) = -2*x. What is a(k(v))?
2*v
Let l(d) = 76*d**2 - 2*d. Let u(i) = -5*i. Determine l(u(g)).
1900*g**2 + 10*g
Suppose -c + 0 = -2. Let o(g) = g + g**c - g. Let d(v) be the first derivative of -v**3/3 - 1. What is d(o(x))?
-x**4
Let s(k) = -2115*k**2. Let y(w) = 2*w. Calculate s(y(v)).
-8460*v**2
Let o(h) = h. Let w(g) be the first derivative of -4 + 1/3*g**3 + 0*g**2 - 3*g. Let k(x) be the first derivative of w(x). Determine o(k(l)).
2*l
Let v(u) be the first derivative of 1/3*u**3 + 0*u - 1 + 0*u**2. Let g(c) be the third derivative of -c**4/12 - 4*c**2. Calculate g(v(k)).
-2*k**2
Let o(x) = 2*x. Let u be 1*0*(-1)/(-2). Let r = 4 - u. Let s(q) = r*q - q - 7*q. Give o(s(y)).
-8*y
Let k(f) = -7*f. Let d(z) = 16*z - 11. Let c(b) = -3*b + 2. Let o(i) = -11*c(i) - 2*d(i). What is k(o(m))?
-7*m
Let u(d) = 0*d - 4*d + 2*d. Let o(r) be the second derivative of 0*r**2 - 2*r + 0 - 1/3*r**3. Give o(u(w)).
4*w
Let b(u) = -2*u. Let v be (17/(-3))/(4/(-12)). Let j(m) = -v*m + 19*m + 0 + 0. Give j(b(i)).
-4*i
Let t(q) = 2*q. Let j(x) = -4. Let r(v) = -v**2 - 5. Let n(z) = -5*j(z) + 4*r(z). What is t(n(a))?
-8*a**2
Let a(x) = -2*x. Let v(d) be the first derivative of -d**3/3 - 4*d**2 - 4*d + 2. Let b be v(-7). 