m(t(j)).
j**4 - 22*j**3 + 121*j**2
Let n(j) = -15*j**2. Let m(b) = -155*b. Determine n(m(w)).
-360375*w**2
Let o(r) be the first derivative of -r**3/3 - 2. Let b(x) be the first derivative of 0*x**2 - 3 + 0*x - 4/3*x**3. Determine o(b(n)).
-16*n**4
Let p(t) be the third derivative of -t**8/6720 - t**5/20 - 2*t**2. Let k(b) be the third derivative of p(b). Let w(z) = 2*z**2. Calculate w(k(x)).
18*x**4
Let j(n) = -5*n - n + 8*n. Let c(k) = -5*k + 0*k + 3*k. What is c(j(x))?
-4*x
Let n(r) = -153*r + 66*r + 76*r. Let d(c) = -c. What is d(n(o))?
11*o
Let a(s) = -2*s**2 - 2*s + 7*s - 7*s**2. Let r(v) = -5*v**2 + 3*v. Let t(u) = 3*a(u) - 5*r(u). Let j(m) = 3*m**2. Calculate j(t(p)).
12*p**4
Let p(c) = c**2 + 4. Let g(b) = -b**2 - 3. Let a(n) = -4*g(n) - 3*p(n). Let m(d) be the third derivative of d**5/60 - d**2. What is m(a(z))?
z**4
Let i(m) = -68*m - 2. Let d(n) = 22*n. Determine d(i(l)).
-1496*l - 44
Suppose -m - 4*b + 5 = 0, 4*m - 5*b - 18 - 2 = 0. Let u(f) be the first derivative of f**3 - m*f + 5*f - 1. Let o(i) = -i**2. Give u(o(v)).
3*v**4
Let z(d) = 0*d**2 + 5*d**2 - 4*d**2 + d**2. Let u(j) be the third derivative of j**4/8 + j**2. Give u(z(a)).
6*a**2
Let u(x) be the second derivative of -1/2*x**4 + 0*x**2 - 2*x + 0*x**3 + 0. Let g(i) = i. What is u(g(o))?
-6*o**2
Let n(u) = 2*u + 3. Let h(r) = 2*r + 4. Let m(f) = 3*h(f) - 4*n(f). Let g(b) = -14*b. Calculate g(m(j)).
28*j
Let i be (-6)/2*(-24)/108. Let c(n) be the first derivative of 2 + i*n**3 + 0*n**2 + 0*n. Let f(z) = -2*z**2. What is f(c(q))?
-8*q**4
Let v(w) = w**2. Let f be (-188)/36 + 2/9. Let l(h) = 3*h. Let b(z) = -7*z. Let i(y) = f*l(y) - 2*b(y). Give v(i(m)).
m**2
Let o(d) be the first derivative of -d**5/60 - d**2/2 - 2. Let l(p) be the second derivative of o(p). Let x(r) = r**2 + r**2 + 5*r**2 - 3*r**2. What is x(l(z))?
4*z**4
Let f(l) = 62*l - 3. Let o(v) = -559*v + 26. Let g(i) = -26*f(i) - 3*o(i). Let y(c) = -c. Give g(y(n)).
-65*n
Let o(j) = j. Let r(t) = 3*t**2 + 2. Let y(i) = 8*i**2 + 3. Let v(f) = 9*f**2 + 3. Let n(a) = 6*v(a) - 7*y(a). Let g(d) = 2*n(d) + 3*r(d). Give o(g(k)).
5*k**2
Suppose -7 = -j - 4. Let k(u) = 2*u**2 - 3*u**2 + j*u**2. Let q(a) = -4*a**2. Determine q(k(o)).
-16*o**4
Let d(k) = 9*k - 5*k - 3*k. Let s(l) = -2*l**2. Calculate s(d(i)).
-2*i**2
Let p(w) = w**2. Let d(g) = g + 1. Let n(f) = -2*f - 5. Let t be ((3 - 5) + 1)*5. Let k(r) = t*d(r) - n(r). Calculate k(p(q)).
-3*q**2
Let m(t) = 5*t. Let l(z) be the third derivative of -z**6/720 + z**4/12 + 2*z**2. Let a(c) be the second derivative of l(c). Determine a(m(d)).
-5*d
Let y(m) = 9*m. Let w(g) be the second derivative of g**4/3 + 8*g. What is w(y(u))?
324*u**2
Let f(y) = -2*y**2. Let s(j) = -7*j**2 + 6 - 6. Calculate f(s(a)).
-98*a**4
Let x(d) = 1. Let w(b) = -2*b - 3. Let p(z) = w(z) + 3*x(z). Let f(v) = v**2 - 3. Let l(c) = -2*c**2 + 4. Let h(q) = -4*f(q) - 3*l(q). What is p(h(r))?
-4*r**2
Let j(m) = 2*m**2. Let u(k) = -k - 1. Let t(f) = 8*f**2 - 3*f - 3. Let p(v) = t(v) - 3*u(v). Let r(x) = -4*x**2. Let i(g) = 3*p(g) + 7*r(g). What is j(i(b))?
32*b**4
Let z(m) = -3*m**2. Let a(f) = -385*f. Determine a(z(v)).
1155*v**2
Let t(i) = 3*i. Let y be (-171)/(-63) - (-4)/14. Suppose g - 5*k = 6*g, y*g + 5*k + 4 = 0. Let p(m) = -2*m**g + 4*m**2 - 3*m**2. Determine p(t(b)).
-9*b**2
Let y(v) = 2*v**2. Suppose 2*k - 20 = -2*k. Let a = 4 - 10. Let l(c) = 2*c - 6. Let w(t) = 2*t - 5. Let s(d) = a*w(d) + k*l(d). Determine y(s(x)).
8*x**2
Let k(m) = m**2. Let c(f) = 5*f. Let w = 8 + -15. Let b = w + 5. Let z(s) = -11*s. Let v(g) = b*z(g) - 5*c(g). Determine v(k(o)).
-3*o**2
Let y(k) be the third derivative of -k**4/24 - k**2. Let p be (1 + 0)*(0 - 1). Let n(v) = -15*v. Let q(f) = f. Let w(a) = p*n(a) - 12*q(a). Calculate y(w(t)).
-3*t
Let o(x) = 2*x. Let d(j) = -5*j + 16. Determine d(o(t)).
-10*t + 16
Let w be (0 - 1) + 2 + 0. Let q(k) = -2*k. Let x(m) = m. Let j(i) = w*q(i) + 4*x(i). Let p(r) = -2*r. What is p(j(v))?
-4*v
Let u = 3 + -1. Let p(z) = -z + 2*z**u + z. Let v(i) = i**2. Calculate p(v(n)).
2*n**4
Let a(t) = -4*t**2 - 3*t. Let m(r) = -3*r**2 - 2*r. Let l(y) = 2*a(y) - 3*m(y). Let s(o) = 5*o**2. Calculate s(l(d)).
5*d**4
Let g(a) be the third derivative of a**7/2520 + a**5/60 + 4*a**2. Let z(d) be the third derivative of g(d). Let i(y) = 8*y. Give z(i(k)).
16*k
Let y(g) = -3*g**2 + 7*g**2 - 3 + 3. Suppose -4*o + 3*p + 24 = 0, 4*o - 5*p = 19 + 13. Let v(s) = o*s + s - 2*s. Determine v(y(t)).
8*t**2
Let s(z) = -z. Let q(k) = -33*k**2 - 1. Give q(s(c)).
-33*c**2 - 1
Let q(i) = 254*i**2. Let l(c) = -12*c**2. Give q(l(z)).
36576*z**4
Let q(p) = -17*p**2 + 8*p - 8. Let b(f) = 11*f**2 - 5*f + 5. Let d(m) = -8*b(m) - 5*q(m). Let h(r) = 7*r. Give h(d(i)).
-21*i**2
Let g(z) = -z - 46 + 24 + 22. Let c(p) = 8*p. Calculate g(c(k)).
-8*k
Suppose 0 = -2*z + 4*z. Let x(l) = 6 - 2*l + z*l - 6. Let k(i) = i. Determine x(k(m)).
-2*m
Let s(c) be the first derivative of -c**3 + 29. Let h(i) = -16*i**2. Give s(h(d)).
-768*d**4
Let v(h) = h**3 - 3*h**2 + 2*h. Let a be v(2). Let q(m) = -2*m**2 + 4*m**2 + a*m**2 - 4*m**2. Let d(x) = 0 + 4*x**2 + 0. What is d(q(p))?
16*p**4
Let c(p) = -p. Let t(z) = 4*z. Let l(a) = -3*c(a) - t(a). Let x(n) = -11*n. What is l(x(u))?
11*u
Let g(x) = 2*x**2. Let j(z) = 29*z**2 + 5*z. What is g(j(k))?
1682*k**4 + 580*k**3 + 50*k**2
Let j(w) = w - 8. Let s be j(10). Let f = 6 - s. Let x(g) = f*g - 6 + 6. Let r(i) = -i**2. Give r(x(l)).
-16*l**2
Let q(j) = 2*j - 10. Let l(z) be the third derivative of z**4/24 + 36*z**2. What is q(l(y))?
2*y - 10
Let d(n) = n**2. Let s(y) = -1978*y. Calculate d(s(o)).
3912484*o**2
Let p(r) be the second derivative of 1/6*r**4 + 0 + 0*r**3 + 8*r + 0*r**2. Let x(j) = 3*j. Give x(p(u)).
6*u**2
Let z(t) be the third derivative of -t**4/24 - 2*t**2. Let k = -11 - -16. Let q(j) = -4*j + k - 5. What is z(q(m))?
4*m
Let z(d) = -d**2 - 97*d. Let n(r) = 3*r**2. Determine z(n(y)).
-9*y**4 - 291*y**2
Suppose 0 = 2*p + s - 1, -1 = -s + 2*s. Let r(h) = -38*h + p + 35*h - 1. Let x(b) be the first derivative of b**2 + 1. Give x(r(v)).
-6*v
Let r(u) = 36*u - 2. Let x(i) = -15*i**2. Calculate x(r(h)).
-19440*h**2 + 2160*h - 60
Let b(j) = 22*j**2 + 2*j. Let s(w) = -4*w**2. Calculate b(s(q)).
352*q**4 - 8*q**2
Let k(g) be the first derivative of g**2/2 - 2. Let i(d) = -3*d + 2. Let q(b) = 7*b - 5. Let m = -1 - -6. Let w(z) = m*i(z) + 2*q(z). Determine k(w(l)).
-l
Let b(l) = -4*l**2 + 155 - 74 - 81. Let h(o) = o**2. Calculate h(b(j)).
16*j**4
Let h(p) = -4*p**2. Let t(c) = 4*c**2 - 3*c + 3. Let y = -4 - -7. Let i(a) = 9*a**2 - 7*a + 7. Let b(m) = y*i(m) - 7*t(m). Calculate h(b(u)).
-4*u**4
Let t(o) = -7*o. Let u(g) = -26*g. Let j(b) = 22*t(b) - 6*u(b). Let k(s) be the second derivative of -s + 0*s**2 + 0 + 1/3*s**3. What is j(k(h))?
4*h
Let o(m) = 2 + m**2 - 2*m**2 - 2. Let g(c) be the first derivative of -c**3/3 - 2. What is g(o(u))?
-u**4
Let k(j) = 98*j**2 + 2. Let o(a) = 40*a. What is k(o(t))?
156800*t**2 + 2
Let s(k) = -10*k**2. Let j(i) = -6*i - 5. Let o(f) = 3*f + 3. Let y(c) = -3*j(c) - 5*o(c). Determine s(y(q)).
-90*q**2
Let z(b) = -b. Let l(h) be the third derivative of 0*h**3 - h**2 + 0 - 1/12*h**4 + 0*h. Give l(z(q)).
2*q
Let g(d) = -4*d. Let q(m) = -m. Let t(f) = -5*g(f) + 16*q(f). Let v(u) = 10*u**2. Calculate v(t(y)).
160*y**2
Let k(d) = -2*d**2. Let c(z) = -26*z + 2. Calculate c(k(o)).
52*o**2 + 2
Let a(l) = -18*l. Let o(c) = -6*c**2. What is a(o(s))?
108*s**2
Let k(g) be the third derivative of 0 + 1/24*g**4 + 0*g + 8*g**2 + 0*g**3. Let p(l) = 24*l. Determine p(k(y)).
24*y
Let g(d) be the third derivative of d**4/24 - d**2. Let c = 20 - 11. Let q(b) = -3*b**2 + c*b + 6*b - 15*b. Calculate g(q(y)).
-3*y**2
Let u(x) = -2*x. Let v(o) = -1354*o**2. Calculate u(v(a)).
2708*a**2
Let w(h) = -2*h**2. Let l = -8 - -5. Let c = l + 6. Let d(q) = -4*q - 2*q - c*q + 3*q. What is d(w(s))?
12*s**2
Let u(a) = 1. Suppose -4*b - 11 = -3*l + 16, l + 4 = -3*b. Suppose -l*z - 8 = -3. Let t(k) = 2*k - 4. Let o(r) = z*t(r) - 4*u(r). Let q(x) = x. What is q(o(f))?
-2*f
Let m(h) = -164*h**2. Let j(t) = 113*t**2. Give j(m(p)).
3039248*p**4
Let c(j) = -2*j. Suppose 3 - 1 = k. Suppose 12 = -0*q + k*q. Let h(p) = -2*p**2 + q*p**2 + 0*p**2. Give c(h(v)).
-8*v**2
Let g(m) be the third derivative of