- 12*b. Let h(o) = -o**2. Give h(z(v)).
-v**4
Let w(y) = -y. Let c(z) be the first derivative of 0*z**2 + 0*z - 2 + 2/3*z**3. Give c(w(u)).
2*u**2
Let y(r) = -9*r. Let q(x) = -18*x + 1. Calculate q(y(p)).
162*p + 1
Let o(g) = 3*g. Suppose 2*a - 4 = 2. Let z(x) = -a + 0*x + 3 + x. Determine z(o(y)).
3*y
Suppose -8*h + 4*h + 16 = 0. Let w(n) = -4*n**2 + n**2 - 4*n**2 + h*n**2. Let r(k) = -3*k. What is w(r(p))?
-27*p**2
Let v(o) = o - 1. Let u(z) = -2*z + 5. Let f(g) = u(g) + 5*v(g). Suppose -w + 5 = -0*w. Let k(p) = p - w*p + p. Determine f(k(b)).
-9*b
Let s(l) = 2*l**2. Suppose 4*f - 20 = -2*h, 2*h + f - 10 = -f. Let v(p) be the first derivative of -1 + h - 1 + 2*p**2. What is v(s(z))?
8*z**2
Let l(n) = 4*n**2. Let b(j) = 1114*j**2 + j. What is b(l(a))?
17824*a**4 + 4*a**2
Let r(m) = -2*m - 38. Let s(x) = -5*x. Give r(s(k)).
10*k - 38
Let l(n) = 9*n + 64. Let p(f) = -f. What is l(p(t))?
-9*t + 64
Let d(h) = -h + 1 - 1. Let q(s) be the first derivative of -s**6/60 + s**3 - 7. Let t(b) be the third derivative of q(b). Give d(t(g)).
6*g**2
Let y(o) = 5*o**2. Let d(w) = 44*w**2 + 1. Determine y(d(x)).
9680*x**4 + 440*x**2 + 5
Let m(u) = -u**2. Let k(h) = 3*h**2 + h. Let d(p) = 16*p**2 + 6*p. Let z(f) = 6*d(f) - 33*k(f). What is z(m(t))?
-3*t**4 - 3*t**2
Let h(t) = 2*t. Let s = 25 - 17. Let w = s + -3. Let l(q) = 2*q + q - w*q. Give h(l(j)).
-4*j
Let o(f) = -4211*f**2. Let a(q) = 3*q. Determine a(o(v)).
-12633*v**2
Let a(y) = -7*y. Let p(z) = 25*z - 17. Let w(u) = 3*u - 2. Let r(x) = -6*p(x) + 51*w(x). Give a(r(m)).
-21*m
Let l(z) be the second derivative of -3*z**4/2 - 10*z. Let q(f) = -2*f. Determine l(q(c)).
-72*c**2
Let r(b) = 85*b**2. Let h(j) = j**2 - 4*j. Calculate r(h(d)).
85*d**4 - 680*d**3 + 1360*d**2
Let q(u) = 6*u. Let p(j) = -125*j. Determine p(q(v)).
-750*v
Let n(i) = -2*i + 1. Let h(q) = -4*q**2 - 10*q. What is h(n(d))?
-16*d**2 + 36*d - 14
Let q(s) = 6*s**2 + 4*s. Let x(b) = -39*b. Determine x(q(c)).
-234*c**2 - 156*c
Let y(m) = 67*m**2. Let v(d) = d. Determine v(y(g)).
67*g**2
Let b(x) = 31*x**2 + 2*x. Let p(t) = -6*t**2. Calculate b(p(y)).
1116*y**4 - 12*y**2
Let v(t) = -3*t - 10. Let m(s) = -2*s - 6. Let o(f) = -5*m(f) + 3*v(f). Let a(z) be the first derivative of -2*z**3/3 + 2. Determine o(a(d)).
-2*d**2
Let l(v) = -3*v. Let k(c) = -147 + 147 - 11*c. What is k(l(b))?
33*b
Let h(t) be the second derivative of t**4/6 - 59*t. Let j(s) = 3*s - 4. Determine h(j(z)).
18*z**2 - 48*z + 32
Let u(g) be the second derivative of g**3/6 + 32*g. Let t(r) = 20*r**2. Calculate u(t(f)).
20*f**2
Let z(g) = 491*g. Let w(t) = 4*t. Determine w(z(o)).
1964*o
Let c(u) = -2*u**2. Let q(v) = -21*v**2 + 13*v. Let t(n) = 10*n**2 - 6*n. Let k(g) = -6*q(g) - 13*t(g). What is c(k(y))?
-32*y**4
Let g(f) = 2*f. Let r(o) be the first derivative of 2*o**3 + 17*o**2/2 + 2. Let b(k) = k**2 + 3*k. Let l(t) = 34*b(t) - 6*r(t). Calculate g(l(q)).
-4*q**2
Let v(y) = -4472*y. Let r(w) = w**2. Determine v(r(n)).
-4472*n**2
Let y(z) = -5*z. Let r(m) = -m**2 + 2*m**2 - 8*m**2 + 3*m**2. Determine y(r(l)).
20*l**2
Let o(k) = -k**2. Let t(n) = -2*n**2. Let f(c) = -5*o(c) + 2*t(c). Let i(y) = 2*y**2. What is i(f(u))?
2*u**4
Let w(d) = 3*d. Let a(g) = -278*g**2. What is w(a(t))?
-834*t**2
Let r(m) = 50*m**2 - 11. Let i(p) = -3*p**2. Give r(i(y)).
450*y**4 - 11
Let f(a) = -2*a**2. Let u(b) = -234*b. Give f(u(v)).
-109512*v**2
Let t(x) = -x. Let s(k) = 9*k. Suppose -3*w + 10 = 25. Let q(d) = -2*d. Let r(v) = w*s(v) - 21*q(v). What is t(r(f))?
3*f
Let v(x) = 3*x - 1. Let s(t) = -8*t**2. Calculate v(s(g)).
-24*g**2 - 1
Let i be 2/8 + (-7)/(-4). Let w(c) = 0*c - 3 + 1 + c**2 + 2*c. Let t(r) = 6*r**2 + 11*r - 11. Let f(u) = i*t(u) - 11*w(u). Let x(z) = -4*z. Give f(x(b)).
16*b**2
Let q(n) = 10 - 10 - 2*n**2. Let h(c) = 3*c. What is q(h(f))?
-18*f**2
Let q(a) = 295*a**2. Let t(x) = -6*x**2. Calculate t(q(u)).
-522150*u**4
Let g(s) = -3*s. Suppose t = -4*t + 45. Let l(h) = -14 + 5 + t - 2*h**2. What is g(l(b))?
6*b**2
Let o(r) = 9*r. Let j(i) = i**2 - 35. Calculate o(j(b)).
9*b**2 - 315
Let a(i) = 5*i + 6*i + 6*i - 1 - 13*i. Let s(v) = 2*v. What is s(a(g))?
8*g - 2
Let z(i) = 15*i**2 - 9*i**2 - 7*i**2. Let v(b) = 3*b**2 - 2*b. Let y(c) = -c**2 + c. Let d(l) = v(l) + 2*y(l). What is d(z(u))?
u**4
Let s(m) = m + 1. Let l(y) = -2*y - 1. Let g(n) = 2*l(n) + 2*s(n). Let p(v) be the second derivative of -v**4/6 - v. Determine g(p(k)).
4*k**2
Let q(l) = l. Let d(y) = 6*y**2 - 51*y. Determine d(q(m)).
6*m**2 - 51*m
Let n(d) = -22*d. Let b(a) = -17*a + 10*a + 8*a. Determine b(n(i)).
-22*i
Let w(n) = n**2 + 2*n. Let z be w(-2). Suppose z = 5*j + o - 9, 2*j - o + 4*o = 1. Let m(x) = -3*x**2 + 4*x**j + x**2. Let v(s) = s**2. Calculate v(m(h)).
4*h**4
Let s(f) = -f**2 - 61*f. Let j(c) = -3*c. Give j(s(g)).
3*g**2 + 183*g
Let f(u) = 12017*u**2. Let j(r) = -r. What is j(f(o))?
-12017*o**2
Let u = 4 + -2. Let w(g) = -3*g**2 + g**2 + 3*g**u. Let r(c) = 5*c - 3*c + c. Calculate r(w(s)).
3*s**2
Suppose 5*m = -3*j + 36, -j + 5 - 21 = -3*m. Let z(n) = 4*n + 0*n - m*n. Let w(h) = 2*h - 4. Let t(d) = -3*d + 5. Let q(x) = -4*t(x) - 5*w(x). Give q(z(o)).
-4*o
Let p(q) = -2*q. Suppose -k - 1 = -2*x + 4, 3*k = -3. Let s(o) = o**x + 0*o**2 + 0*o**2. Calculate p(s(r)).
-2*r**2
Let s(p) be the second derivative of -p**4/6 + 2*p. Let i(t) = t**2 - 3. Let u(n) = -4*n**2 + 10. Let j(k) = 10*i(k) + 3*u(k). Give j(s(z)).
-8*z**4
Let p(j) = 2*j + 120. Let t(l) = -7*l. Determine t(p(a)).
-14*a - 840
Let f(n) = n**2. Let b(p) = 5*p**3 - 4*p**3 + p**2 + 1 + 4*p + 4*p**2. Let y be b(-4). Let s(i) = -2*i + y - 1. Calculate f(s(x)).
4*x**2
Let j(k) = k. Let f(a) be the third derivative of 9*a**2 + 0*a**3 + 0 + 0*a + 1/8*a**4. Determine f(j(l)).
3*l
Let j(i) = -2*i. Let k(h) = 10*h**2 + 7*h. Suppose -15 = 3*p, -3*q = -5*p + 3 - 34. Let z(g) = -3*g**2 - 2*g. Let m(t) = q*k(t) + 7*z(t). What is m(j(y))?
-4*y**2
Let c(z) = -z**2. Let v(n) = -65*n**2. Calculate v(c(p)).
-65*p**4
Let d(i) be the third derivative of i**5/60 + i**2. Let n(u) = -12*u - 3. Let q(a) = 13*a + 4. Let f(j) = 4*n(j) + 3*q(j). Determine f(d(r)).
-9*r**2
Let b(o) be the first derivative of 3*o**2/2 + 2. Let v(z) = -4*z**2. Let g(l) = -l**2. Let r(j) = -22*g(j) + 6*v(j). Give r(b(n)).
-18*n**2
Suppose 0 = -3*s + 4*x + 49, -4*x + 84 = -s + 5*s. Let w(z) = 17 - 17 - s*z**2. Let u(h) = h. Give w(u(p)).
-19*p**2
Let x(r) = 35*r + 3. Let l(v) = -3*v. What is x(l(o))?
-105*o + 3
Let m(v) = -17*v**2. Let c(k) = 77*k. Determine m(c(q)).
-100793*q**2
Let x(h) = -h. Let m(l) be the second derivative of -29*l**4/3 + 33*l. Give x(m(g)).
116*g**2
Let a(s) = -7*s + 5. Let o(q) = -8*q + 2. Let x(g) = 9*g - 2. Let w(n) = -6*o(n) - 5*x(n). Let d(z) = -2*a(z) - 5*w(z). Let c(r) = 2*r**2. What is d(c(j))?
-2*j**2
Let r(s) = 2*s - 3244 + 3244. Let f(w) = 24*w. Calculate f(r(z)).
48*z
Let z(m) be the first derivative of 0*m**2 + 1/3*m**3 + 0*m + 2. Let p(a) be the third derivative of -a**5/30 - 2*a**2. Determine z(p(o)).
4*o**4
Let s(b) be the second derivative of -b**3/2 + 32*b - 1. Let d(i) = 2*i**2 - 13*i - 13. Let k(v) = v**2 - 6*v - 6. Let f(g) = 6*d(g) - 13*k(g). Give s(f(t)).
3*t**2
Let b(t) = 2*t. Let u(f) = f**3 + 4*f**2 - 5*f + 4. Suppose 5*p = -0*p - 25. Let a be u(p). Let o(v) = 4 - a - 6*v**2 + 4*v**2. Calculate b(o(g)).
-4*g**2
Let y(v) = -v**2. Let c(n) = -77*n**2 - 7*n - 14. Let m(d) = 26*d**2 + 2*d + 4. Let w(t) = 2*c(t) + 7*m(t). Calculate y(w(p)).
-784*p**4
Let p(v) = -3*v**2. Let r(j) = -11*j**2. Determine r(p(o)).
-99*o**4
Let z(b) = -4*b + 10. Let m(j) = 1. Let a(c) = 10*m(c) - z(c). Let i(s) = 2*s + 4. Let v(q) = 2*q - 2*q - q - 3. Let d(g) = -3*i(g) - 4*v(g). What is a(d(x))?
-8*x
Let i(h) = -h. Let d(q) = q**3 + 3*q**2 - 4*q + 3. Let v be d(-4). Let w(u) = 3*u - v*u**2 - 3*u + 5*u**2. Determine w(i(p)).
2*p**2
Let u(y) = -29*y - 62. Let a(v) = -v**2. Determine a(u(r)).
-841*r**2 - 3596*r - 3844
Let o(x) = -2*x + x - x. Let y(f) be the first derivative of 2*f**3/3 + 71. Determine o(y(g)).
-4*g**2
Let i(d) = -2*d. Let n(c) = -c**2 + 5*c + 2. Let v be n(5). Let j(k) be the second derivative of 1/3*k**3 + v*k + 0 + 0*k**2. Give i(j(z)).
-4*z
Let m(z) be the first derivative of 0*z - 3 - 1/3*z**3 + 0*z**2. Let n(i) = -4*i + 11. Let o(w) = -2*w + 6. Let c(a)