derivative of 0*t + 3*t**2 + 1/12*t**4 + 0*t**3 + 0. What is d(p(m))?
2*m
Let t(c) = 20*c**2. Let w(y) = -40*y**2. Let f(d) = -5*t(d) - 2*w(d). Let b(r) = -2*r. Determine b(f(m)).
40*m**2
Let g(d) = 129 + 4*d**2 - 129. Suppose -3*r + 8 = r. Let i(c) = -2 + r + 2*c. What is i(g(p))?
8*p**2
Let k(c) = -2*c. Let a(h) be the first derivative of -h**3/3 + 5*h**2/2 - 3*h - 1. Let u be a(2). Let t(g) = u*g - 3*g - 2*g. Determine t(k(f)).
4*f
Let y(n) = -3*n. Let j(z) = -546*z**2. Give y(j(u)).
1638*u**2
Let b(t) = t**2. Let k(l) be the first derivative of 2*l**3/3 - 1. Determine k(b(u)).
2*u**4
Let i(g) = -g**2 + 6*g. Suppose -3*u - 2*u = -30. Let p be i(u). Let z(j) = p*j**2 + 0*j**2 + 4*j**2 + 0*j**2. Let s(m) = -2*m. What is s(z(y))?
-8*y**2
Let b(q) = 72*q**2 - 62*q**2 + 0*q + q. Let h(p) = -p. What is h(b(t))?
-10*t**2 - t
Let d(o) = o + 1. Let y(g) = -12*g - 10. Let w(s) = 10*d(s) + y(s). Let z(a) = -22*a. Give w(z(n)).
44*n
Let l(m) = 18*m**2 - 5*m**2 - 8*m**2. Let y(b) = 4*b**2. What is y(l(j))?
100*j**4
Let b(q) = -6*q. Let k(w) = 27*w**2. Determine b(k(y)).
-162*y**2
Let q(t) = -163*t**2. Let d(y) = -2*y**2. Determine d(q(n)).
-53138*n**4
Let g(x) be the first derivative of -2*x**3/3 - 16. Let l(v) be the third derivative of -v**2 + 0*v**3 + 1/12*v**4 + 0*v + 0. Determine l(g(o)).
-4*o**2
Let i(y) be the first derivative of -1 + 0*y + 1/2*y**2. Let g(z) = 2*z. Determine i(g(n)).
2*n
Let o(q) = -q. Let j(h) = -6*h + 0*h - h. What is o(j(g))?
7*g
Let i(r) = -2*r**2. Let l(y) be the third derivative of 0*y**3 + 1/60*y**5 + 0*y**4 - 2*y**2 + 0*y + 0. Calculate l(i(h)).
4*h**4
Let d(x) = -10*x**2. Let q(s) = 65*s. Determine q(d(o)).
-650*o**2
Let h(v) = -6*v**2. Let s(n) = 11*n**2 - 2. Give s(h(k)).
396*k**4 - 2
Let u(x) be the third derivative of -x**4/8 - 10*x**2. Let t(i) = 4*i**2. Give u(t(f)).
-12*f**2
Let c(i) = 54*i. Let z(y) = -y**2. What is c(z(t))?
-54*t**2
Let a(l) = -17*l - 19*l + 10*l. Let z(h) = -2*h**2. Determine z(a(p)).
-1352*p**2
Let f(v) = v**2. Let a(z) = -54*z - 1 + 1 + 39*z. What is f(a(c))?
225*c**2
Let f(y) = -5822*y. Let k(h) = -2*h**2. Calculate k(f(d)).
-67791368*d**2
Let g(y) = -3*y**2. Let f(a) = -2*a + 3. Let u(s) = 2*s - 4. Let x be u(4). Let k(i) = 3*i - x - 5 + 4. Let j(d) = 5*f(d) + 3*k(d). Give j(g(m)).
3*m**2
Suppose -4*x = x - 35. Suppose 3*b + x = g, 4*g - 2*b + 6 = 6*g. Let t(v) = 4*v**2 + g*v**2 - 5*v**2. Let f(p) = 3*p. Determine f(t(j)).
9*j**2
Let a(m) = -13 + 7*m**2 + 22 - 9. Let u(f) = f. What is u(a(g))?
7*g**2
Let c(l) = l + 227 - 227. Let g(i) = -43*i**2. Determine c(g(y)).
-43*y**2
Let g(x) = -3*x. Let f be (-2)/7 - (-396)/63. Let q(p) = 2*p + 3*p - f*p. Determine q(g(c)).
3*c
Let d(n) = -281*n**2. Let m(r) = -r + 4. Determine m(d(k)).
281*k**2 + 4
Let d(j) = -24*j. Let h(f) = -2*f + 9*f - 8*f. Calculate d(h(u)).
24*u
Let k(r) = -5*r**2 - 2*r + 2*r. Let w(p) = -2*p - 2. Let t = 1 + 2. Let y(x) = 2*x + 3. Let g(n) = t*w(n) + 2*y(n). What is g(k(u))?
10*u**2
Let v(s) = -2 + 2 - s. Let l be -2*(-2 + (-4)/(-8)). Let o(q) = 8*q**2 - l*q - 17*q**2 + 3*q. Calculate v(o(j)).
9*j**2
Let i(a) = -63*a. Let p(k) = -3*k. Give i(p(b)).
189*b
Let a(m) be the second derivative of -m**7/1260 + 2*m**4/3 - 6*m. Let r(t) be the third derivative of a(t). Let x(d) = 3*d. What is x(r(v))?
-6*v**2
Let x(v) = -v**2 - 2*v**2 + 7*v**2 + 0*v**2. Let z(w) = -4*w**2. What is x(z(y))?
64*y**4
Let t(v) = -21*v + 21*v - v**2. Let h(b) = 4*b. What is t(h(j))?
-16*j**2
Let f(l) = 10*l. Let k(a) = 5*a. Let v(r) = 3*f(r) - 5*k(r). Let q(d) = -2*d**2. Give q(v(n)).
-50*n**2
Let x(l) be the second derivative of l**4/12 + 2*l. Let a(b) = 4*b**2. Calculate a(x(n)).
4*n**4
Let j(u) = 2*u**2. Let v(k) be the first derivative of -3*k**2 + 1. Determine j(v(d)).
72*d**2
Let u(x) = 2*x**2. Let r(v) = 4812*v. Calculate u(r(c)).
46310688*c**2
Let u = -13 + 19. Suppose 0*l - 3*l = -u. Let p(c) = -5*c**2 + 0*c**l + 2*c**2. Let o(r) = 2*r**2. Determine o(p(b)).
18*b**4
Let v(h) = 36*h. Let l(n) = -3*n. Give l(v(j)).
-108*j
Let y(n) = 16*n - 3. Let a(r) = -r**2. What is a(y(z))?
-256*z**2 + 96*z - 9
Let o(t) = -2*t**2. Let d(n) be the third derivative of 11*n**4/24 + 4*n**2. Give d(o(k)).
-22*k**2
Let l(i) be the third derivative of i**4/12 + 3*i**2. Let c(u) = -3 - u**2 + 3. What is l(c(r))?
-2*r**2
Let z(b) = -b**2. Let g(h) = h**2. Let r(j) = -5*g(j) - 4*z(j). Let o(x) be the third derivative of -7*x**4/24 + x**2 - 4*x. What is o(r(t))?
7*t**2
Let z(f) = -f**2 - 37*f. Let c(x) = 11*x. What is z(c(t))?
-121*t**2 - 407*t
Let q(z) = -7*z. Let y(h) = -2*h**2 + 3*h + 3. Let j(v) = v**2 - v - 1. Let w(c) = 3*j(c) + y(c). What is q(w(t))?
-7*t**2
Let a(p) = -2*p**2. Let d(q) = -q + 1. Let w(s) = 2 + 9 - 8*s - 4*s. Let h(r) = -44*d(r) + 4*w(r). Calculate a(h(j)).
-32*j**2
Let m(i) = -2 - 1 + 3 + i. Let k(d) be the second derivative of -d**3/3 - 4*d. Give m(k(y)).
-2*y
Let t(b) = -6 + 7*b + 6. Let l(u) = -2*u - 37 + 37. Calculate l(t(x)).
-14*x
Let s(m) = -3*m**2. Let g(r) = 6*r**2 - 22. Determine g(s(y)).
54*y**4 - 22
Let d(n) be the first derivative of -n**2 - 1. Let l(w) = -7*w**2 - 10. Let f(i) = -10*i**2 - 14. Let b(p) = 5*f(p) - 7*l(p). What is b(d(a))?
-4*a**2
Let h(g) = 5*g**2 + 1. Let r(j) = 39*j**2. Determine r(h(x)).
975*x**4 + 390*x**2 + 39
Let s(m) = -4*m. Let d(j) be the first derivative of -4*j**3/3 + 12. Calculate s(d(w)).
16*w**2
Let u(f) = 2*f**2. Let x = 73 - 69. Let j(i) be the third derivative of 0*i - i**2 + 0*i**x + 0*i**3 + 0 + 1/20*i**5. Give j(u(l)).
12*l**4
Let i(f) = -f + 5*f - 3 + 3. Let h(r) = 2*r**2. Calculate h(i(g)).
32*g**2
Let g(f) = -149*f**2. Let b(v) = 2*v. Determine b(g(x)).
-298*x**2
Let l(r) = -2*r**2. Let s(z) = -z**3 + 3*z**2 + 4*z + 2. Let d be s(4). Suppose -d*p - i + 4 = 0, 2*i - 10 = -5*p + 3*i. Let w(u) = 3*u + u - p*u. Give w(l(b)).
-4*b**2
Let r(c) = 0*c + 0*c - 5*c. Let n(a) = a. Let z(d) = 2*d. Let v(l) = 13*n(l) - 6*z(l). Calculate v(r(j)).
-5*j
Let r(w) = 4*w. Let x(u) = -2*u - u - 2*u + 6*u. Calculate r(x(q)).
4*q
Let y(b) be the first derivative of 1/2*b**2 + 2 + 0*b. Let x(o) = o. What is x(y(n))?
n
Let n(l) be the first derivative of 2*l**2 + 1. Let i(x) be the first derivative of 1 + 0*x**2 - 1/3*x**3 + 0*x. Determine n(i(b)).
-4*b**2
Let b(p) = 2*p**2 - 5*p**2 + 6*p**2 - p**2. Let o(j) = 22*j**2. Calculate o(b(k)).
88*k**4
Let n(h) = -654*h. Let g(u) = 2*u**2. Give n(g(d)).
-1308*d**2
Let l(g) = -2*g**2. Let y(d) be the first derivative of d**3/6 - 2*d - 4. Let u(x) be the first derivative of y(x). What is l(u(a))?
-2*a**2
Let o(f) be the second derivative of f**3 - 4*f**3 + 2*f**3 + 3*f + 0*f**3. Let r(m) = m**2. Calculate r(o(n)).
36*n**2
Let u(m) = -47*m**2. Let s(k) = -25*k. Give u(s(o)).
-29375*o**2
Let c(h) = -3*h - 3*h - 3*h + 7*h. Let n(d) = d**2 - 1. Let j(w) = 5. Let m(b) = j(b) + 5*n(b). Calculate c(m(k)).
-10*k**2
Let y(d) be the third derivative of -d**4/12 - d**2. Let w(n) be the first derivative of 0*n - 7/2*n**2 - 1. Give y(w(r)).
14*r
Let i(n) = -935 + 935 - 2*n. Let y(k) be the second derivative of k**4/12 - k. What is i(y(w))?
-2*w**2
Let v(g) = -6*g**2. Let h(l) = -68*l - 52. Let t(c) = -4*c - 3. Let w(n) = -6*h(n) + 104*t(n). What is w(v(z))?
48*z**2
Let s(p) = -84*p - 2. Let r(i) = 18*i**2. Give r(s(n)).
127008*n**2 + 6048*n + 72
Let w(l) be the third derivative of -l**4/12 + l**2. Let i(b) be the first derivative of -b**3/3 - 73. Calculate w(i(c)).
2*c**2
Let z(b) = -b**2. Let l(w) = 0*w**2 + 3*w**2 - 4*w**2 - 4*w**2. Give l(z(g)).
-5*g**4
Let l(d) = -d**2. Let z(w) = -47*w**2 + 4*w - 2. Let a(q) = -46*q**2 + 3*q - 1. Let n(h) = -4*a(h) + 3*z(h). Give n(l(j)).
43*j**4 - 2
Let y(h) = -6*h. Let c(r) = r**3 - r**2 - 3*r + 4. Let a be c(2). Let d(z) = 0*z**a + z**2 - 3*z**2. Give d(y(n)).
-72*n**2
Let d(x) = -4*x. Let s(n) be the first derivative of 0*n**2 + 1 - n + 1/12*n**4 + 0*n**3. Let i(z) be the first derivative of s(z). Determine d(i(h)).
-4*h**2
Let s(l) = -2*l**2. Let y(c) = 4*c + 4*c**2 + 13*c**2 - 4*c. Determine y(s(h)).
68*h**4
Let j(f) = -2*f**2. Let d(m) = -m + 9. Calculate j(d(a)).
-2*a**2 + 36*a - 162
Let w(v) = 2. Let u(i) = 1. Let x(q) = -3*u(q) + 2*w(q). Let r(s) = -s + 4. Let c(h) = r(h) - 4*x(h). Let k(n) = -3*n**2 + 6*n**2 - n**2. Give k(c(y)).
2*y**2