.
3*f
Let c(d) be the second derivative of d**4/12 - 8*d. Let n(b) = -5*b. What is n(c(h))?
-5*h**2
Let s(y) = -4*y + y + 2*y. Let p(j) be the first derivative of -j**5/30 + j**2 - 2. Let z(t) be the second derivative of p(t). Calculate z(s(g)).
-2*g**2
Let f(r) be the third derivative of r**4/24 - r**2. Let j(m) = 3*m**2 + 6*m - 6. Let p(g) = 3*g**2 + 5*g - 5. Let s(a) = 5*j(a) - 6*p(a). What is f(s(b))?
-3*b**2
Let x(h) = -h + 49. Let p(u) = -6*u. What is x(p(d))?
6*d + 49
Let q(d) = -2*d**2 - d - 1. Let k(v) = -v**2 - v - 1. Let l(x) = 2*k(x) - 2*q(x). Let w(b) = b**2 - 2*b**2 - 3*b**2 + 8*b**2. What is w(l(t))?
16*t**4
Let z(p) = -p. Let c(i) be the third derivative of 8*i**5/15 + 12*i**2. Calculate c(z(u)).
32*u**2
Let p(r) = r**2. Let q(i) = -1. Let m(o) = -12*o**2 + 4. Let z(f) = -m(f) - 4*q(f). Determine z(p(j)).
12*j**4
Let v(o) = -6*o**2. Let y = 6 - 4. Let s(c) = c + y - 5 + 3. Calculate v(s(l)).
-6*l**2
Let k(t) = t**2. Let w(o) be the first derivative of -2 + 0*o**2 + 0*o**3 + 1/12*o**4 - o. Let b(u) be the first derivative of w(u). Give b(k(j)).
j**4
Let a(u) = 2*u - 3*u - 4*u - 6 - u - 5*u**2. Let x(n) = n**2 + n + 1. Let b(z) = a(z) + 6*x(z). Let f(s) = -2*s. Give f(b(i)).
-2*i**2
Let y(l) = 12*l. Let x(p) = -p - 1. Let n(a) = -2*a**2 + 2*a + 2. Let q(u) = -2*n(u) - 4*x(u). Determine q(y(h)).
576*h**2
Let q(b) = 2*b. Let d(p) = p. Let s(f) = -4*d(f) + q(f). Let l(t) be the first derivative of 1/2*t**2 + 0*t + 2. Calculate l(s(j)).
-2*j
Let r(z) = 29*z. Let i(f) = -17*f**2. Calculate r(i(b)).
-493*b**2
Let p(z) = 6823*z**2. Let t(q) = q. Give p(t(h)).
6823*h**2
Suppose 0 = -3*m + m - 4*w + 2, 5*w + 10 = 0. Let p(y) = y - 2*y + m*y - 2*y. Let z(g) = -13*g. What is z(p(h))?
-26*h
Let d(y) = -2*y**2. Let s(h) = h. Let k(q) = -q. Let i(a) = -3*k(a) - 2*s(a). Determine i(d(x)).
-2*x**2
Let o(i) = 23*i**2. Let g(q) = -7*q + 17*q - 8*q. Determine o(g(f)).
92*f**2
Let r(m) be the second derivative of m**3/3 - 66*m. Let g(p) = 2*p**2 - 6. Give g(r(d)).
8*d**2 - 6
Let d(x) = x**3 + 8*x**2 - 10*x - 11. Let l be d(-9). Let g = l + 7. Let k(q) = -6*q**2 + g*q**2 + 3*q**2. Let c(i) = 3*i**2. What is c(k(r))?
12*r**4
Let t(i) = 10*i + 2 - 3 + 1. Let k(w) = -w. Determine k(t(l)).
-10*l
Let c(b) be the third derivative of -3*b**5/20 - b**2. Let i(y) = 27*y - 82*y + 25*y + 31*y. Determine c(i(k)).
-9*k**2
Let z(f) = 72*f**2. Let b(p) = 24*p**2 - 3. Calculate z(b(v)).
41472*v**4 - 10368*v**2 + 648
Let d(q) = 2*q. Suppose -5*s + 25 - 5 = 0. Let c(z) = 0*z - s*z + 5*z. Calculate c(d(a)).
2*a
Let h(a) = 7*a**2. Let n(f) = 16*f**2. Calculate h(n(p)).
1792*p**4
Let c(i) = -16*i**2. Let v(n) = 269*n**2. Calculate v(c(o)).
68864*o**4
Let g(y) = -7*y - 10*y - 2*y**2 + 17*y. Let s(q) be the third derivative of -q**4/12 + 2*q**2. Give s(g(v)).
4*v**2
Let w(m) = -m**2. Suppose 3*o - 3 = 3. Let l be 3/o*16/6. Let i(k) = l - 3*k**2 - 4. What is w(i(h))?
-9*h**4
Let y(v) = 906*v**2. Let z(m) = -m. Determine y(z(n)).
906*n**2
Let i(o) = -o**2. Let f(t) = -17*t. What is f(i(d))?
17*d**2
Let a(n) = -5*n + 10*n - 6*n. Let v(t) = -2*t. Give a(v(g)).
2*g
Let v(t) = -t - 7*t**2 + 9*t**2 + t. Let u(x) = -5*x**2. Determine u(v(o)).
-20*o**4
Let g(j) = 13*j**2. Let o(q) = 28*q**2. Give g(o(v)).
10192*v**4
Let h(f) = 63*f**2. Let y(c) = 8*c. Calculate y(h(j)).
504*j**2
Let r(y) = -6*y**2. Let l(d) = -25*d. Calculate l(r(z)).
150*z**2
Let y(n) = 15*n. Let l(a) = a - 29. What is l(y(j))?
15*j - 29
Let s(w) = w + 13. Let o(f) = -47*f. Determine s(o(l)).
-47*l + 13
Let k = -13 - -20. Let u(z) = -4*z - 8*z**2 - 3*z + k*z. Let j(r) = 2*r**2. Calculate u(j(m)).
-32*m**4
Let c(j) = 16*j**2. Let w(i) = -109*i**2 + 52*i**2 + 51*i**2. Determine w(c(r)).
-1536*r**4
Let u(b) be the third derivative of 0 + b**2 + 0*b**3 + 0*b**4 + 0*b + 1/30*b**5. Let i(r) = -4*r**2. What is u(i(o))?
32*o**4
Let s(i) = -7*i. Let h = 0 + 5. Let d(u) = -4*u. Let n(w) = 5*w. Let p(k) = h*n(k) + 6*d(k). Give p(s(r)).
-7*r
Let l(u) = 2*u**2. Let t(s) be the third derivative of 0 + 2*s**2 + 0*s**3 + 1/12*s**4 + 0*s. Calculate t(l(c)).
4*c**2
Let l(a) = -6*a. Let x(z) = -7*z. Let t(f) = 6*l(f) - 7*x(f). Let n(k) = k. What is n(t(v))?
13*v
Let g(i) = -3*i. Let s(w) = 511*w. What is s(g(x))?
-1533*x
Let i(z) = -4*z. Let r(j) = -1. Let c(b) = -b + 5. Let l(m) = -c(m) - 5*r(m). Calculate l(i(y)).
-4*y
Let x(d) = -2*d. Let o(b) = -1162*b**2. Give o(x(q)).
-4648*q**2
Let x(g) = -10*g + 5. Let f(u) = -10*u + 6. Let h(m) = -5*f(m) + 6*x(m). Let v(q) = -4*q + 0*q + 3*q. Calculate v(h(s)).
10*s
Let x(o) = -o**2 + 6*o - 3. Let p be x(5). Let q(f) = -2*f**p + 1 - 1. Let c(r) be the second derivative of r**3/3 + r. Give c(q(b)).
-4*b**2
Let i = 10 + -8. Let x(u) be the third derivative of 0*u + 0*u**3 + u**i + 0 + 1/12*u**4. Let v(j) = 4*j. What is x(v(a))?
8*a
Let m(o) = -23*o**2 - 8. Let x(l) = -8*l**2 - 3. Suppose 2*b + 7 = -9. Let p(f) = b*x(f) + 3*m(f). Let s(u) = 3*u**2. Give p(s(d)).
-45*d**4
Let h(m) = -2*m. Let j(g) be the first derivative of 3*g**2/2 + 3. Determine h(j(u)).
-6*u
Let g(x) = -7*x**2. Let n(c) = -7*c + 2. Give g(n(b)).
-343*b**2 + 196*b - 28
Let z(o) = -2*o**2 - o + 1. Let y(j) = -35*j**2 - 21*j + 21. Let x(p) = 2*y(p) - 42*z(p). Let g(i) = -4*i. Determine x(g(m)).
224*m**2
Let a be (2/3)/(4/42). Let o(s) = -7*s + a*s - 2*s**2. Let i(y) = y. Let z(b) = 6*b. Let l(t) = -22*i(t) + 4*z(t). What is l(o(f))?
-4*f**2
Let v(i) be the third derivative of i**5/12 - i**2. Let g(r) be the second derivative of -r**3/6 - 63*r. Calculate v(g(p)).
5*p**2
Let i(t) = 2*t. Let w(y) = 10*y**2. Determine w(i(o)).
40*o**2
Let o(u) = u. Let f(k) = k. Let s(r) = -3*r + 1. Let l be s(1). Let t(g) = l*o(g) + 6*f(g). Let x(b) = -b. Determine t(x(w)).
-4*w
Let f(a) = 8*a - 1. Let l(o) = -4*o**2. Give l(f(g)).
-256*g**2 + 64*g - 4
Let j(n) = -n**2. Let w(d) = -3*d + 2. Let m(y) = -2*y + 3. Let a(b) = 2*m(b) - 3*w(b). Give j(a(k)).
-25*k**2
Let a(f) = f**2 - 5*f**2 - 2*f**2. Let h(z) = -z. Let d(p) = -3*p. Let b(i) = 3*d(i) - 8*h(i). Determine a(b(m)).
-6*m**2
Let r(c) = 39*c. Let d(j) = 6*j**2 + 4*j. Determine r(d(g)).
234*g**2 + 156*g
Suppose x + 12 = 5*x. Let j(t) = -t**2 - x + 4 - 1. Let w(s) = -2*s**2. Give j(w(r)).
-4*r**4
Suppose 48 = 3*t + 2*g, 5*t - 3*g = 2*g + 55. Let s(m) = 11*m + 2*m**2 - 25*m + t*m. Let i(h) = -10*h. Give i(s(q)).
-20*q**2
Let h(y) be the second derivative of -y**4/24 - y**2 - 3*y. Let v(d) be the first derivative of h(d). Let l(u) = 3*u**2. Give v(l(t)).
-3*t**2
Let x(m) = 3*m + 3*m + 10 - 6*m - 4*m. Let g(p) = p - 3. Let c(s) = -10*g(s) - 3*x(s). Let j(v) = 7*v. Calculate j(c(t)).
14*t
Let x(m) = 9*m**2 + 2. Let y(n) = -n**2 - 1. Let z(v) = x(v) + 2*y(v). Let h(j) = -2*j. Give z(h(o)).
28*o**2
Let i(y) = 9*y**2 - 519*y. Let n(c) = 2*c. What is i(n(u))?
36*u**2 - 1038*u
Let l(d) = -42*d. Let t(x) = 2*x. Calculate t(l(v)).
-84*v
Let b(m) = 2*m - 2*m + m**2. Let s(z) be the first derivative of 5*z**2/2 + 98. What is b(s(o))?
25*o**2
Let u(a) be the first derivative of 3*a**2/2 + 1. Let k(t) = -3*t + 4. Let n(i) = i - 1. Let q(w) = -k(w) - 4*n(w). What is q(u(r))?
-3*r
Let c(g) = -148 + g + 148. Let a(s) = -18*s - 1. What is c(a(j))?
-18*j - 1
Let x(c) = -7*c + 6. Let f(l) = -13*l + 11. Let s(z) = 6*f(z) - 11*x(z). Let j(a) = 11*a**2. Determine j(s(u)).
11*u**2
Let k(l) = -4*l**2. Let v(w) = w**2 + 3. What is v(k(d))?
16*d**4 + 3
Let l(x) be the third derivative of x**5/30 - 4*x**2. Let h(t) = -14*t**2. Calculate l(h(n)).
392*n**4
Let u(m) be the first derivative of -10*m**2 - 61. Let l(q) = -q. Determine u(l(n)).
20*n
Let o(g) be the first derivative of g**2/2 - 1. Suppose 0 = -a - 2*l + 2, 0 = -5*a - 0*a + l - 1. Let u(q) = q**2 + a*q**2 - 2*q**2. Give o(u(s)).
-s**2
Let d(j) = j. Let w(v) = 5*v**2 - 5*v - 3 + v**3 - 3*v - 5. Let b be w(-6). Let n(c) = -3*c + b*c + 5*c - 5*c. Give n(d(o)).
o
Suppose -5*v + 2*y + 19 - 1 = 0, 0 = 3*v - 2*y - 14. Let n(p) = v*p + p - p. Let i(b) be the third derivative of b**4/12 - b**2. What is n(i(x))?
4*x
Let v(g) = 50*g**2. Let k(i) = -25*i**2. Determine v(k(r)).
31250*r**4
Let a(n) = -n - 1812. Let c(l) = -2*l**2. Give a(c(g)).
2*g**2 - 1812
Let a(n) = 4*n**2 - 2*n. Let u(q) = -3*q**2. What is a(u(w))?
36*w**4 + 6*w**2
Let c(y) = 132*y. Let x(s) = -29*s**2.