c**2 - 6*c**2. What is t(i(b))?
-54*b**2 + 2
Let b(u) = -u - 5*u + 5*u. Let x(k) be the third derivative of -k**6/360 + k**3/2 + k**2. Let d(t) be the first derivative of x(t). Determine b(d(z)).
z**2
Let v(b) = 7*b**2. Let d(r) = r + 768. Give d(v(a)).
7*a**2 + 768
Let i(z) = -2*z. Let g(w) = 8*w**2 - 4. Let y be g(3). Let p(a) = -y*a + 2*a**2 + 68*a. What is i(p(l))?
-4*l**2
Let d(l) be the second derivative of l**4/4 + 5*l. Let b(g) = 2*g. Calculate b(d(w)).
6*w**2
Let a(s) = -65*s**2 - 6*s + 7. Let b(z) = -131*z**2 - 13*z + 15. Let m(q) = 13*a(q) - 6*b(q). Let y(f) = -f. Give y(m(c)).
59*c**2 - 1
Let n(t) = 5*t. Let k(c) be the first derivative of -c**4/12 - 4*c + 2. Let z(q) be the first derivative of k(q). Calculate z(n(y)).
-25*y**2
Let f(n) = -9*n. Let d(a) = 4*a - 2*a + 5*a - 2*a. Give f(d(l)).
-45*l
Let j(q) = -2*q. Let z(g) be the first derivative of -1/2*g**2 + 0*g + 3. Give j(z(c)).
2*c
Let s(d) = 16 - 32 - 12*d**2 + 16. Let l(k) = -4*k. Give l(s(w)).
48*w**2
Let c(v) be the second derivative of 11*v**4/12 - 18*v. Let a(x) = 2*x**2. Calculate c(a(y)).
44*y**4
Let u(q) = 2*q**2. Let z(n) = -2 + 4 + 3 - 2 - n. Let x(b) = b - 5. Let f(j) = -6*x(j) - 10*z(j). Calculate u(f(h)).
32*h**2
Let j(g) = -g. Let s(t) = -3*t**2. Calculate j(s(d)).
3*d**2
Let x(j) = 6*j - 9. Let u(o) = -4*o + o - 14*o + 16*o. What is u(x(g))?
-6*g + 9
Let g(l) = -6*l**2. Let t(x) = -7*x**2. Calculate t(g(i)).
-252*i**4
Let g(h) = 422*h**2. Let k(c) = -7*c. What is g(k(y))?
20678*y**2
Let v(t) = -t**2. Suppose 0 = 26*h - 23*h. Let g(o) = h*o**2 - 2*o**2 - 3*o**2. Give v(g(d)).
-25*d**4
Let j(o) = -2*o. Let d(l) be the third derivative of -l**5/30 - l**3/6 - l**2. Let m(v) be the first derivative of d(v). Calculate j(m(a)).
8*a
Suppose -3*l + 8 = k, -4*k - 16 - 8 = -2*l. Suppose l*q = 3*q + 2. Let j(b) = 0*b + q*b + 3*b - 7*b. Let h(w) = 4*w**2. Calculate h(j(x)).
16*x**2
Let j(m) be the third derivative of 0 - 3*m**2 + 0*m**3 + 0*m + 1/24*m**4. Let s(z) = z. What is j(s(d))?
d
Let b(d) = 5*d**2. Let w(m) = -3*m - 5. Let o(t) = -5*t - 8. Let j(c) = -5*o(c) + 8*w(c). Calculate b(j(x)).
5*x**2
Let v(x) = x - x - x + 0. Let t(z) = -z**2. Determine t(v(u)).
-u**2
Let f(w) = w**2 - 5*w + 4. Let x be f(4). Let t(b) be the first derivative of -2 + 0*b + 2/3*b**3 + x*b**2. Let a(s) = 3*s. Calculate t(a(r)).
18*r**2
Suppose 2*y - 4*y = -6. Let x(z) = -2*z**2 - y*z**2 + 5*z**2 + z**2. Let k(f) = 2*f**2. Calculate x(k(q)).
4*q**4
Let c(k) = -10*k**2 - 14*k + 14*k + 62*k**2. Let w(z) = -2*z**2. Give c(w(l)).
208*l**4
Let c(t) = 2*t. Let r(z) = 1485*z**2. Determine r(c(x)).
5940*x**2
Let l(h) = -12*h. Let r(x) = 2*x. Give r(l(p)).
-24*p
Let s(o) = 2*o**2. Let f(c) = 12*c + 5. Calculate s(f(g)).
288*g**2 + 240*g + 50
Let t(j) = j**2. Suppose -4*r + 26 = 3*h, 2*r = -r + 4*h + 7. Let k(a) = 0*a - r*a + 3*a. What is t(k(c))?
4*c**2
Let d(p) = 4*p + 0*p - 2*p - 3*p. Let j(r) be the third derivative of -1/60*r**5 + 0*r + r**2 + 0*r**4 + 0 + 0*r**3. Determine j(d(x)).
-x**2
Let v(p) = -1 + 1 - p. Let x(z) be the third derivative of 0*z**3 + 0*z + 0 - 6*z**2 - 5/12*z**4. What is x(v(w))?
10*w
Let o(c) = -3*c. Let n(m) = 18*m**2 + 9. What is o(n(l))?
-54*l**2 - 27
Let d(x) be the first derivative of x**3 + 12. Let h(f) = -f**2. Calculate d(h(c)).
3*c**4
Let o(v) = -v. Let z(q) = 5*q**2 - 10*q. Let s(p) = 10*o(p) - z(p). Let r(l) = -l**2. Let x(j) = 9*r(j) - 2*s(j). Let u(w) = 4*w**2. Give x(u(g)).
16*g**4
Let s(f) = 3*f**2. Let l(q) = 3*q**2. Let g(y) = -4*l(y) + 5*s(y). Let o(m) be the third derivative of -m**5/30 - 5*m**2. What is g(o(a))?
12*a**4
Let y(h) be the second derivative of h**7/840 - h**4/4 + 5*h. Let i(u) be the third derivative of y(u). Let w(z) = -3*z**2. What is i(w(q))?
27*q**4
Let n(j) = j. Let u(b) be the second derivative of 0 - 1/12*b**4 - b - b**2 + 0*b**3. Let a(i) be the first derivative of u(i). Calculate n(a(k)).
-2*k
Let r = 17 - 10. Let n(c) = 7*c - r*c + 2*c**2. Let a(u) = -u. Calculate n(a(b)).
2*b**2
Let b(q) = q**2. Let m(w) = -3*w - 192. Calculate b(m(d)).
9*d**2 + 1152*d + 36864
Let d(j) = -j**2 - 461. Let z(a) = 4*a**2. Determine z(d(i)).
4*i**4 + 3688*i**2 + 850084
Let i(b) be the second derivative of 0*b**3 + 1/4*b**4 + 0*b**2 + 0 + 4*b. Let w(y) = -3*y**2. What is i(w(u))?
27*u**4
Let q(r) = 55*r**2. Let w(h) = 10*h. Determine w(q(f)).
550*f**2
Let h(g) = -3*g**2. Let a(s) = 1 - 3 - 4*s**2 - 3*s + s**3 - s. Let m be a(5). Let x(c) = c**2 - 5*c**2 + m*c**2. Calculate h(x(w)).
-3*w**4
Let q(g) = 2*g. Let o(l) = 3*l. Let b(w) be the first derivative of -2*w**2 + 1. Let h be 36/(-8) - (-5)/10. Let x(v) = h*b(v) - 6*o(v). What is q(x(u))?
-4*u
Let i(o) = 2*o. Let h(p) = -1570*p - 2. What is h(i(f))?
-3140*f - 2
Let y(d) = 2*d + 11. Let h(i) = 5*i**2. Calculate h(y(b)).
20*b**2 + 220*b + 605
Let o(r) = 99*r + 2. Let h(y) = y. Calculate o(h(z)).
99*z + 2
Let f(m) = 10*m. Let z(n) be the second derivative of -n**4/12 - 6*n. Give z(f(g)).
-100*g**2
Let q(u) = 271*u - 7. Let c(b) = b. Give q(c(y)).
271*y - 7
Let g(i) = 10*i**2 + 13. Suppose 2*b - 10 - 32 = -4*d, 3*d - 3*b = 54. Let p(q) = 5*q**2 + 6. Let c(o) = d*p(o) - 6*g(o). Let a(t) = -2*t. Give c(a(y)).
20*y**2
Let v(q) = 2*q. Let b(r) = -r**2 + 24. Determine b(v(f)).
-4*f**2 + 24
Let h(a) be the first derivative of 4*a**3/3 - 1. Let l(p) be the second derivative of -1/3*p**3 + 0*p**2 + 0 - 2*p. Determine l(h(b)).
-8*b**2
Suppose -9 = -4*v + 7. Let l(u) = -2*u**2 + v*u**2 + 0*u**2. Let w(h) = 4*h + 5. Let p(m) = -6*m - 7. Let f(k) = -5*p(k) - 7*w(k). Calculate f(l(q)).
4*q**2
Let v(y) = 2*y**2. Let j be 3 - -3*(-2)/6. Let d(x) = -5*x**2 - 2*x**2 + 9*x**j. What is d(v(z))?
8*z**4
Let f(z) = 19*z**2. Let g(u) = -288*u. Give g(f(r)).
-5472*r**2
Let h(r) = 16*r**2. Let p(x) = -x**2. Let n(q) = -2*h(q) - 28*p(q). Let g(t) = 4*t. Determine n(g(s)).
-64*s**2
Let c(m) = 5*m. Let w(y) be the third derivative of y**5/20 - 5*y**2. Determine c(w(t)).
15*t**2
Let i(c) = 3*c**2 - 7*c**2 + 2*c**2 + 4*c**2. Let w(r) be the first derivative of 3 - 2*r**2 + 3*r**2 + 0*r**2. Give i(w(z)).
8*z**2
Let g(k) = 3*k. Let o(w) = -w. Let f(r) = -3*g(r) - 7*o(r). Let m(b) = -11*b. Determine f(m(u)).
22*u
Let k(x) = 2*x**2. Suppose -4*r - 8 = 0, -r = 3*y + r - 2. Let o(d) = 3*d**2 + 2*d**y - d**2. Calculate o(k(i)).
16*i**4
Let m(q) = -48*q**2 + 27. Let b(k) = k**2. Calculate m(b(l)).
-48*l**4 + 27
Let d(k) be the first derivative of k**2 - 1. Suppose 0 = -2*s - 4 + 8. Let x(w) = 3 + 3*w - 1 - s. Give d(x(o)).
6*o
Suppose 2*q - 2 = -5*k, 12 = 4*k - q - 0. Let d(h) = 2 - 4 - 4*h + k. Let w(i) be the second derivative of -i**4/12 + i. What is w(d(g))?
-16*g**2
Let a be (-4)/(-2) - (0 + 0). Let v(k) = -a + 2 - k - k. Let w(u) = 4*u. Give v(w(b)).
-8*b
Let c(z) = 5*z**2. Let j(a) be the first derivative of -a**3/3 - 24. Calculate j(c(k)).
-25*k**4
Let o(v) = -9*v**2. Let d(u) = -u**2 + 22. Determine d(o(m)).
-81*m**4 + 22
Let y(k) = 280*k**2 - 2. Let q(n) = n. Calculate y(q(s)).
280*s**2 - 2
Let k(y) = -5*y + 2*y + y. Let z(w) = -7*w + 3*w + 6*w. Calculate k(z(i)).
-4*i
Let r(z) = -27*z - 2. Let n(g) = g**2. Determine r(n(h)).
-27*h**2 - 2
Let f(a) = a**2. Let m(y) = -y - 1. Let u be m(-1). Let l(w) be the third derivative of -1/4*w**4 + 0*w**3 - 4*w**2 + u + 0*w. What is f(l(g))?
36*g**2
Let l(a) be the first derivative of 9*a**2 - 56. Let b(q) = -2*q**2. Calculate l(b(k)).
-36*k**2
Let g(o) = 2*o. Let z(u) = -39 + 39 - 6*u + 26*u. Calculate z(g(t)).
40*t
Let o(z) = 12*z**2. Let j(f) = 2*f - 87. What is o(j(v))?
48*v**2 - 4176*v + 90828
Let r(k) = 2*k. Let o(p) be the third derivative of -p**4/24 - p**3/2 - p**2. Let g(c) = c + 5. Let x(n) = 3*g(n) + 5*o(n). Calculate r(x(v)).
-4*v
Let u(o) = -o. Let k(y) = -71*y**2 + 43*y + 2. Determine u(k(w)).
71*w**2 - 43*w - 2
Let g(f) = -2*f**2. Let y = 7 - 7. Let n(a) = 0*a - 4*a + y*a. Determine n(g(l)).
8*l**2
Let k(g) = 2*g. Let v(h) = 14*h + 0*h + 1 - 1. Give v(k(z)).
28*z
Let u(b) = 2*b + 0*b + 0*b. Let d(c) be the second derivative of 0*c**2 - 1/6*c**3 + 0 + 7*c. Determine d(u(l)).
-2*l
Let s(p) = -2*p**2. Let m(c) = -39*c**2 + 9*c + 9. Let h(j) = -10*j**2 + 2*j + 2. Let x(i) = -9*h(i) + 2*m(i). Calculate s(x(b)).
-288*b**4
Let j(p) = p**2. Let g(d) = 150*d - 80. Let x(b) = 2*b - 1