2*c
Let n(t) = -7856*t. Let l(j) = j**2. Determine n(l(y)).
-7856*y**2
Let l(m) = 2*m**2. Let r(a) be the second derivative of -a**4/4 - 2*a. Determine r(l(u)).
-12*u**4
Let q(a) = 5 - 4*a - 4 - 1. Let i(b) = 23*b. Let w(k) = -6*i(k) - 34*q(k). Let j(c) = -c**2. What is w(j(p))?
2*p**2
Let f(i) = 15018*i**2. Let v(j) = 2*j. Determine v(f(q)).
30036*q**2
Let a(u) be the first derivative of -1/2*u**2 + 0*u - 2. Let k(x) = -x**2. Determine k(a(d)).
-d**2
Let w(l) = -361*l**2. Let k(r) = -34*r. Give w(k(z)).
-417316*z**2
Let k(z) = 4*z - 6. Let j(v) = -5*v + 5. Let g(s) = -6*j(s) - 5*k(s). Let d(h) = 2*h**2. Give d(g(q)).
200*q**2
Let z(g) = 5*g. Let u(j) = 4*j - 3*j - 3*j. Give u(z(q)).
-10*q
Let o(u) be the first derivative of u**2/2 - 14. Let w(j) = -j + 35. Determine o(w(c)).
-c + 35
Let g(s) = 125*s - 1. Let h(v) = -2*v**2. What is h(g(t))?
-31250*t**2 + 500*t - 2
Let b(r) = -2902*r. Let f(o) = -2*o. What is f(b(g))?
5804*g
Let v(k) = -3*k**2. Let r(u) = -u**2 + 2*u**2 + 1 - 2*u**2. Let s(b) = 12*b**2 - 10. Let a(d) = -10*r(d) - s(d). Determine a(v(f)).
-18*f**4
Let h(r) be the first derivative of -r**4/8 - r**2 - 2. Let c(a) be the second derivative of h(a). Let w(p) = p. Give w(c(y)).
-3*y
Let r(p) = -77*p**2 + 84*p - 42. Let q(j) = -9*j**2 + 10*j - 5. Let a(z) = 42*q(z) - 5*r(z). Let c(g) = 2*g + 1 - 1. Determine c(a(n)).
14*n**2
Let g(o) = 8*o**2. Let w(j) = j**2. Let r(y) = -6*g(y) + 51*w(y). Let z be (-108)/(-24) + 2/(-4). Let f(u) = -3*u + z*u - 3*u. Calculate r(f(k)).
12*k**2
Let b(l) = l + 1. Let a(p) = 2*p**2 + 7*p + 7. Let n(o) = -3*a(o) + 21*b(o). Let i(t) = 6*t. Calculate i(n(c)).
-36*c**2
Let w(u) = 68*u**2. Let g(q) be the third derivative of q**5/60 + 2*q**2 + 2. Give w(g(h)).
68*h**4
Let z(l) = 1388*l - 2*l**2 + 5*l**2 - 1388*l. Let c(b) = -17*b**2. What is z(c(h))?
867*h**4
Let g(r) = -12*r - 7*r + 15*r - 7*r. Let h(p) = -2*p**2. What is h(g(l))?
-242*l**2
Let i(u) = -8*u. Let d(g) be the second derivative of 0*g**3 + 0 + 0*g**2 + 5*g + 1/6*g**4. Give d(i(m)).
128*m**2
Let w(m) = 15*m. Let h(l) = 6 + 1 - 7 - l**2. What is h(w(j))?
-225*j**2
Let o(w) = 25*w**2 - 25. Let p(v) = 1. Let t(r) = o(r) + 25*p(r). Let k(h) = -h. Determine t(k(y)).
25*y**2
Let w = 0 + 9. Let p(d) = -3*d. Let j(k) = 6*k. Let n(y) = w*p(y) + 4*j(y). Let a(b) = b. What is a(n(s))?
-3*s
Let q(s) = 4*s. Suppose -6*a + a = -10. Let v(u) = 0 + 15*u - u**a - 11 - 4*u. Let r(p) = -2*p + 2. Let o(c) = 11*r(c) + 2*v(c). What is o(q(x))?
-32*x**2
Let z(q) = -3*q. Let j(u) = -11501*u. Give z(j(r)).
34503*r
Let r(h) = 126*h. Let l(x) = -10*x**2. Give r(l(b)).
-1260*b**2
Let j(w) = w**2. Let v(a) be the first derivative of 2*a**3/3 - 5. Calculate v(j(z)).
2*z**4
Suppose -3*y - 6 = -6*y. Let m(k) = k + y*k + k - 3*k. Let n(c) = 5*c**2 - c - 2*c + 3*c. What is n(m(s))?
5*s**2
Suppose 6*t = 2*t - h + 3, -3*t + 2*h + 16 = 0. Let q(y) = 2*y**2 - 4*y**2 + t*y**2 - y**2. Let p(b) = 3*b. Determine q(p(a)).
-9*a**2
Let u be (-4)/5*(-75)/30. Let h(f) be the second derivative of 0 + 1/3*f**3 + 0*f**u + 2*f. Let r(s) = -4*s**2. Give h(r(x)).
-8*x**2
Let n(o) = -5*o - 7 + 7*o + 6*o. Let j(m) be the second derivative of -7*m**3/6 + 3*m**2 - 6*m. Let f(r) = -7*j(r) - 6*n(r). Let z(g) = g. Calculate z(f(i)).
i
Let p(g) = -9*g + 7. Let b(d) = -d + 1. Let i(t) = 14*b(t) - 2*p(t). Let k(f) = 5*f**2. Calculate i(k(v)).
20*v**2
Let w(y) be the first derivative of -2*y**2 + 3. Let i(h) = 13*h**2. Calculate w(i(a)).
-52*a**2
Let d(m) = -3*m - 4*m + 6*m. Let j(t) = -8*t**2 - t**2 + 13*t**2 - 7*t**2. Give d(j(k)).
3*k**2
Let q(f) = 2*f**2. Let i(a) = -4*a - 2*a + 7*a. Determine q(i(m)).
2*m**2
Let i(j) = 4*j. Let x(b) be the third derivative of b**4/3 + 18*b**2. What is i(x(o))?
32*o
Let q(w) = 39*w. Let b(n) = 9*n. Give q(b(m)).
351*m
Let q(f) = 2*f. Let p(l) = -5777*l - 1. What is p(q(n))?
-11554*n - 1
Let q(n) be the third derivative of -n**5/60 + n**2. Suppose -m - 4*m + 11 = 3*u, 0 = -3*u + m + 5. Let o(s) = u*s + 7*s + 5*s - 16*s. Calculate q(o(c)).
-4*c**2
Let l(k) = 3*k**2 - 1. Let m(s) = -s. What is l(m(i))?
3*i**2 - 1
Let v(k) = 7*k + 6. Let n(l) = 15*l + 13. Let d(q) = 6*n(q) - 13*v(q). Let y(r) = 2*r - 2*r + r**2. Determine y(d(x)).
x**2
Let r = -139 - -271. Let v(i) = 4*i**2 - 132 + r. Let z(p) = 3*p**2. Give v(z(j)).
36*j**4
Let q(y) = -y**2. Let v be 3/(-5) - (-51)/85. Let m(u) be the first derivative of v*u - 7/2*u**2 - 2. What is q(m(w))?
-49*w**2
Let o(v) = v**2. Let c(b) = -1291*b**2. Give o(c(d)).
1666681*d**4
Let g(u) = 738*u**2. Let n(y) = -y. Determine g(n(o)).
738*o**2
Let r(n) = 2*n. Let o(i) = 2*i**2. Let m(k) = 38*k**2. Let q(c) = m(c) - 2*o(c). What is r(q(x))?
68*x**2
Let w(o) = o**2. Let q(l) = 5*l - 3. Let f be q(5). Let d(c) = 0 - 11 + 12. Let v(j) = j + 11. Let x(k) = f*d(k) - 2*v(k). Calculate w(x(u)).
4*u**2
Let z(a) = -2*a**2. Let j(g) be the first derivative of g**4/24 + 2*g**2 - 2. Let p(d) be the second derivative of j(d). What is z(p(c))?
-2*c**2
Let m(r) = -3*r**2. Let h(u) = -u + 5. Let z(k) = 2. Let a(w) = -2*h(w) + 5*z(w). What is a(m(t))?
-6*t**2
Let i(q) = -3*q**2 - 5. Let n(z) = -1 - 2*z**2 + 4 - 6. Let r(p) = -6*i(p) + 10*n(p). Let f(t) = -3*t + 0*t + t. Calculate r(f(g)).
-8*g**2
Let m(b) = -13*b + 29. Let k(f) = 2*f**2. Calculate k(m(h)).
338*h**2 - 1508*h + 1682
Let j(q) be the second derivative of -5*q + 0*q**3 + 0 + 0*q**2 - 1/6*q**4. Let i(a) = -7*a. Give j(i(m)).
-98*m**2
Let o(r) = -2*r**2. Let u(i) be the third derivative of i**6/180 - i**4/12 + i**2. Let s(l) be the second derivative of u(l). Calculate s(o(c)).
-8*c**2
Let l(o) = 2*o**2. Let x(g) = -4*g**2 - 2*g. Let f(s) = 20*s**2 + 11*s. Let a be -7 + -2 + 1 - 3. Let r(v) = a*x(v) - 2*f(v). Give l(r(m)).
32*m**4
Let p(x) = 6*x**2 + 4*x - 4. Let c(w) = 7*w**2 + 5*w - 5. Let g(h) = 4*c(h) - 5*p(h). Let v(u) = 2*u. What is v(g(r))?
-4*r**2
Let s(k) = -5*k**2. Let j(c) = -93*c**2. Give j(s(d)).
-2325*d**4
Let o(t) = 4*t**2. Let c(m) = -13*m. Give c(o(s)).
-52*s**2
Let d(f) be the second derivative of -f**4/12 - 2*f. Let c(y) = 7*y**2. What is d(c(a))?
-49*a**4
Let g(w) = -9*w + 7. Let t(o) = -o - 7. Let z be t(-11). Let y(s) = 5*s - 4. Let b(v) = z*g(v) + 7*y(v). Let p(l) = l - 6 + 6. Determine p(b(f)).
-f
Let n(w) = -2*w**2 - 2*w. Let i(q) = 5*q**2 - 6*q + 6. Let f(s) = -11*s**2 + 13*s - 13. Let v(o) = 6*f(o) + 13*i(o). What is n(v(r))?
-2*r**4 + 2*r**2
Let l(m) = m. Let w(i) be the second derivative of 0 + 0*i**3 - 1/4*i**4 - 2*i + 0*i**2. Give l(w(g)).
-3*g**2
Let q(d) = -d**2. Let n(a) = 10*a**2 - 4*a. What is q(n(x))?
-100*x**4 + 80*x**3 - 16*x**2
Suppose 2*j = j + 2. Let c(t) = 6 - 1 - 5*t - 5 + j*t**2. Let x(d) = d**2 - 3*d. Let o(z) = -3*c(z) + 5*x(z). Let k(y) = -3*y**2. Calculate k(o(v)).
-3*v**4
Let t(b) = 9*b**2 - 8. Let x(r) = 8*r. Give t(x(k)).
576*k**2 - 8
Let a(z) = 2*z. Let r(s) = 246*s**2 - 3*s. Determine a(r(t)).
492*t**2 - 6*t
Let h(o) = 3 - 3 - 5*o. Let p(x) = 3*x. Let u(j) = -4*j. Let t(r) = -6*p(r) - 4*u(r). Calculate h(t(n)).
10*n
Let z(h) = 3*h + 34. Let y(g) = -g**2. Determine z(y(o)).
-3*o**2 + 34
Let n(b) = -2*b**2. Let j(c) be the second derivative of c**3/3 - 15*c. Give j(n(o)).
-4*o**2
Let g(p) = -5*p**2 - 4*p. Let a(i) = -i**2 - i. Let n(m) = 4*a(m) - g(m). Let v(y) = -11*y**2. Let k(w) = 27*w**2. Let j(h) = -5*k(h) - 12*v(h). Give n(j(q)).
9*q**4
Let x(s) = -5*s. Suppose 0 = -b + 6*b - 10. Let f(k) be the first derivative of 4 + 0*k**2 + 0 + k**b. Calculate f(x(j)).
-10*j
Let w(s) = -2*s**2. Let u(i) = 108*i + 2. What is u(w(r))?
-216*r**2 + 2
Let f(r) = 4*r**2. Let g(x) = x + 13. Let i be g(-7). Suppose -11 = -5*p + 2*y - 1, -3*p - y = -i. Let t(n) = 3*n - n**p - 4*n + n. What is f(t(j))?
4*j**4
Let r(q) = -q**2 - 3*q - 3. Let j(w) = -w**2 - 4*w - 4. Let n(d) = 3*j(d) - 4*r(d). Let t(x) = -2*x + 0*x + 3*x. Calculate t(n(l)).
l**2
Let m(v) = 4*v - 2. Let b(o) = -9*o + 5. Let x(f) = 4*b(f) + 10*m(f). Let s(u) = 2*u - 2. Let d(a) = -6*a + 7. Let g(t) = -2*d(t) - 7*s(t). What is x(g(w))?
-8*w
Let t(l) = 17*l + 0 + 0 - 16*l. Let y(z) = -4*z + 2*z - 4*z. What is t(y(x))?
-6*x
Let w(p) = -3*p + 2. Let k(d) = -10*d**2. Calculate k(w(n)).
-90*n**2 + 120*n - 40
Let n(m) = -5*m**2. Let f(b) = 3*b**2. Let c(l) = l**2. Let t(k) = -5*c(k) + 2*f(k). What is t(n(