58*o. Determine f(z(d)).
-35716*d
Let y(i) = 5*i**2. Let j(m) be the third derivative of 0*m**3 + 0 + 0*m + 1/12*m**4 - 4*m**2. Calculate y(j(p)).
20*p**2
Let x(s) = -s. Let f(a) = -253*a - 9. Determine x(f(r)).
253*r + 9
Let r(s) be the third derivative of s**5/60 + s**2. Let d be (-2)/4 + (-63)/(-2). Let q(l) = d - 31 - l**2. Calculate q(r(b)).
-b**4
Let m(w) = 4*w**2. Let d(t) = t + 5. Let b(x) = -x - 5. Let a(r) = 3*b(r) + 2*d(r). Let k(s) = -2*s - 8. Let c(n) = 8*a(n) - 5*k(n). What is c(m(o))?
8*o**2
Let l(o) = o**2 - 3*o**2 + o**2. Let k = -47 + 77. Let g(u) = 30 + u**2 - k. What is g(l(j))?
j**4
Let i(k) = -5*k**2 + 1. Let d(j) = -3*j. What is d(i(g))?
15*g**2 - 3
Let g(m) = 257*m - 3. Let c(n) = -2*n**2. What is g(c(y))?
-514*y**2 - 3
Let h(b) = -82*b**2 + 1. Let i(s) = -s**2. Give h(i(x)).
-82*x**4 + 1
Suppose 3*p + 5*n - 6 = n, -6 = -3*p - 3*n. Let l(i) = -2*i**p + 12 - 12 - 8*i**2. Let h(v) = 2*v**2. Give l(h(r)).
-40*r**4
Let y(a) = -3*a**2. Let w(l) = -3*l**2 + 3. Let k(o) = -3*o**2 + 2. Let b(t) = -3*k(t) + 2*w(t). Determine y(b(j)).
-27*j**4
Let u(q) = -q**2. Let k(r) = -2*r + 1611. What is u(k(v))?
-4*v**2 + 6444*v - 2595321
Let a(d) be the third derivative of -d**6/180 - 2*d**3/3 - 2*d**2. Let y(m) be the first derivative of a(m). Let l(t) = -2*t. Determine l(y(p)).
4*p**2
Let j(z) = -857*z. Let o(f) = -f**2. What is j(o(d))?
857*d**2
Let n(u) = 2*u**2. Suppose 5*b + 7 = 17. Suppose 25 = -5*m, -4*m = -2*o + 4*o + 8. Let k(r) = -o + 6 - b*r**2. Give n(k(g)).
8*g**4
Let c(f) = -25*f - 2. Let v(h) = 19*h**2. What is c(v(p))?
-475*p**2 - 2
Let q(x) = 489*x. Let p(n) = n**2. Give p(q(g)).
239121*g**2
Let s(b) = 3*b**2. Let k(c) be the first derivative of c**6/90 - 2*c**3 + 6. Let n(z) be the third derivative of k(z). Calculate s(n(o)).
48*o**4
Suppose -l - 8 = -5*l. Let w(j) = -l + 2 - 2*j**2. Let v(s) = 2*s**2. Calculate v(w(m)).
8*m**4
Let f(m) = -3*m**2. Let l(x) = 5*x**2 - x + 1. Let w be l(1). Let c(t) = -t**2 + w*t**2 - 7*t**2. Calculate c(f(u)).
-27*u**4
Let d(h) = 8*h**2. Let p(n) = -n - 35. Calculate p(d(w)).
-8*w**2 - 35
Let o(u) = 240*u. Let p(w) = w. Determine p(o(m)).
240*m
Let w(h) = 2*h**2. Let n(g) = -48*g**2 - 30*g + 30. Let u(t) = -t**2 - t + 1. Let b(d) = n(d) - 30*u(d). Determine w(b(j)).
648*j**4
Let m(t) be the second derivative of 5*t**3/6 + t. Let p(d) = d**2 - d - 1. Let q(b) = b**2 + b + 1. Let g(f) = -p(f) - q(f). What is m(g(y))?
-10*y**2
Let s(c) = c**2 + 11*c. Let m(r) = r. Let x(l) = -22*m(l) + 2*s(l). Let j(q) = 12*q - 21*q + 8*q. Determine x(j(f)).
2*f**2
Let u(b) = b**2 - b. Let j(a) = -40*a**2 + 25*a. Let i(q) = -j(q) - 25*u(q). Let c(g) = -g**2. Calculate i(c(k)).
15*k**4
Let m(w) = -11*w + 11. Let i(r) = 2*r. Determine i(m(l)).
-22*l + 22
Let t(h) = 99*h**2. Let b(l) = -3*l. Give b(t(a)).
-297*a**2
Let k(s) be the second derivative of -s**3/6 - 4*s. Let c(i) be the first derivative of -5*i**2/2 + 1. Calculate c(k(m)).
5*m
Suppose -2*t = 2*d - 10, t + 11 = -t + 5*d. Let o(k) be the first derivative of 0*k**2 + 0*k - 2/3*k**3 - t. Let q(n) = -2*n. Calculate q(o(w)).
4*w**2
Let l(c) be the third derivative of c**5/120 + c**3/2 - 2*c**2. Let x(t) be the first derivative of l(t). Let y(h) = -4*h**2. Determine x(y(o)).
-4*o**2
Let v(i) be the third derivative of -i**5/60 - i**2. Let d(x) = 11*x**2 - 7*x**2 - 3*x**2. Determine d(v(m)).
m**4
Let w(y) be the first derivative of -4*y**3/3 - 14. Let i(a) = 4*a. Calculate w(i(n)).
-64*n**2
Let b(s) be the first derivative of s**3/3 + 13. Let z(w) = 32*w. Give z(b(k)).
32*k**2
Let g(a) = -a. Let d(r) be the second derivative of -r**5/60 - r**3/3 + 2*r. Let x(s) be the second derivative of d(s). What is g(x(n))?
2*n
Let l(z) = -2*z**2. Let x = 3 - 1. Suppose x*c + 2 - 8 = 0. Let p(w) = -c*w**2 + w**2 + 4*w**2. Give l(p(h)).
-8*h**4
Let u(w) = -10*w. Let v(h) = 2*h. Let i(q) = 3*u(q) + 14*v(q). Let z(x) = -5*x. Calculate i(z(k)).
10*k
Let q(u) = 3*u**2. Let s(w) = -w**3 - w**2 + w + 4. Let g be s(0). Let o(r) = -g*r + r + 4*r. Calculate q(o(c)).
3*c**2
Let r(c) = 2*c**2. Let x(l) = l**2 + 945. Give r(x(b)).
2*b**4 + 3780*b**2 + 1786050
Let t(y) = 18*y**2. Let m(s) = -2*s - 2*s**2 - 3*s + 5*s. Give m(t(a)).
-648*a**4
Let z(g) = -22*g**2. Let a(o) = -36*o**2 - o. Give a(z(n)).
-17424*n**4 + 22*n**2
Let w(h) = -4*h - 2*h + 2*h + 2*h. Let r(f) = -f. Let i(j) = 5*j. Let x(d) = i(d) + 6*r(d). Give w(x(g)).
2*g
Let o(d) = 27*d**2. Let t(b) = -356*b**2. Determine t(o(s)).
-259524*s**4
Let h(g) be the first derivative of 0*g + 1/2*g**2 + 2. Let m(q) = 5*q**2. Determine m(h(d)).
5*d**2
Let r(u) = -1177*u. Let d(i) = 10*i**2. Give r(d(q)).
-11770*q**2
Let s(r) = 9*r. Let o(q) = -3*q + 3*q + 319*q**2 - 316*q**2. Give o(s(p)).
243*p**2
Let l(n) = -n. Let q(h) = -3277*h. What is q(l(j))?
3277*j
Let r(i) = -i. Suppose -6*d = -4*d. Let a(k) be the second derivative of 1/2*k**3 - 2*k + 0*k**2 + d. Determine r(a(u)).
-3*u
Let u(z) = 4*z - 6. Let q(t) be the third derivative of -t**4/12 + 19*t**2. Determine u(q(o)).
-8*o - 6
Let q(f) = -9*f**2. Let r(i) = -6*i**2 - 1. Calculate q(r(u)).
-324*u**4 - 108*u**2 - 9
Let j(z) = -8 + 5*z - 3*z + 8. Let h(q) = q. Let t(g) = 4*g**2 - 6*g. Let f(y) = -6*h(y) - t(y). Give j(f(u)).
-8*u**2
Let s(w) = 3*w**2. Let t(b) = 6*b + 4. Let h(g) = -25*g - 15. Let c(i) = -4*h(i) - 15*t(i). What is s(c(r))?
300*r**2
Let t(o) = -3*o. Let i(u) be the second derivative of -u**3/6 + 8*u. Give i(t(k)).
3*k
Let u(r) = 3*r. Let z(i) be the second derivative of -i**3/6 - 20*i. Give u(z(v)).
-3*v
Let k be -1 - -6 - -1 - 3. Let b(i) = -k*i**2 - 4*i + 4*i + 5*i**2. Let j(c) = -3*c + 0*c + c. What is j(b(u))?
-4*u**2
Let l(x) = 115*x**2. Let j(q) = 5*q. Determine j(l(z)).
575*z**2
Let c(k) = -k + 7. Let f be c(5). Let i(w) = -w + w - w**f. Let v(u) be the first derivative of u**3/3 - 14. Calculate i(v(m)).
-m**4
Let i(n) = -n**2. Let m(l) = -268*l**2. Calculate m(i(x)).
-268*x**4
Let o(q) = -12*q**2 - 129*q. Let y(n) = 2*n. Calculate y(o(t)).
-24*t**2 - 258*t
Suppose -2*i + 6*i = -3*v + 33, 51 = 4*v + 3*i. Let g(j) = -j - 1. Let f(p) = 4*p + 5. Let z(u) = v*g(u) + 3*f(u). Let c(l) = 4*l**2. What is c(z(x))?
36*x**2
Let y(m) = 3*m + 5. Let b(k) = 1. Let t(d) = -15*b(d) + 3*y(d). Let g(j) = -2*j. Determine t(g(s)).
-18*s
Let w(h) = 4 + 0*h**2 - 4*h**2 + 3*h**2. Let l(q) = -3*q**2 + 11. Let b(f) = 4*l(f) - 11*w(f). Let a(n) = 0 + 3 - 3 + n. Determine b(a(i)).
-i**2
Let k(v) = 43*v**2. Let h(u) = 19*u. What is h(k(w))?
817*w**2
Let x(m) = -20*m. Let f(k) = -161*k. Let a(l) = -6*f(l) + 49*x(l). Let j(q) = -2*q**2. Give a(j(c)).
28*c**2
Let w(x) = x - 6*x + 3*x. Let i(y) be the first derivative of y**3/6 + y - 1. Let o(m) be the first derivative of i(m). What is o(w(v))?
-2*v
Let x(w) be the second derivative of -w**2 - w - 1/24*w**4 + 0 + 0*w**3. Let y(n) be the first derivative of x(n). Let d(g) = g. Determine y(d(u)).
-u
Let g(w) = 43*w**2. Let t(l) = -2*l**2 + 45*l. Determine t(g(s)).
-3698*s**4 + 1935*s**2
Let n(j) = -11*j**2 - 13*j**2 - 5*j**2 + 27*j**2. Let i(p) = 1 - 1 + p. What is i(n(c))?
-2*c**2
Let f(m) be the first derivative of m**2/2 - 71. Let b(r) = 14*r - 3*r - r. Give b(f(s)).
10*s
Let n(f) be the first derivative of -2*f**3/3 - 1. Let c(y) = -y + 10. Let u be c(10). Let p(o) = 0*o - 3*o + u*o. What is n(p(v))?
-18*v**2
Let p(c) = -8*c**2. Let g(h) = -166*h. Determine g(p(n)).
1328*n**2
Let r(j) = -j. Let u = 34 + -31. Let m(y) be the second derivative of 0*y**3 + 0 - u*y + 0*y**2 + 1/6*y**4. Give m(r(x)).
2*x**2
Let x(k) = -2*k**2. Suppose 3*l - 15 - 24 = 0. Let h(g) = 6*g + 4*g - l*g. Give x(h(b)).
-18*b**2
Let i(h) = -8*h - 16. Let n(o) = -1. Let j(s) = i(s) - 16*n(s). Let y(d) = -2*d. Determine y(j(a)).
16*a
Let v(u) = u + 2*u - 2*u. Let t(m) = -m - 1. Let c(k) = -12*k - 11. Let g(s) = 2*c(s) - 22*t(s). Determine g(v(a)).
-2*a
Let i(h) = -5*h - 3. Let m(z) = -z**2 - 19*z. Give m(i(u)).
-25*u**2 + 65*u + 48
Let a(s) = -s. Let x(q) = -q**2 + 2*q**2 + q**2 - 5*q**2. What is a(x(n))?
3*n**2
Let x(d) be the second derivative of d**5/30 - 5*d**2/2 - 10*d. Let c(s) be the first derivative of x(s). Let q(f) = 11*f**2. What is q(c(i))?
44*i**4
Let j(k) = -7*k + 12. Let c(p) = -6*p**2. Calculate c(j(h)).
-294*h**2 + 1008*h - 864
Let b(x) = -5*x**2. Le