(f)).
-5*f**2
Let r(g) be the third derivative of g**5/20 + g**2. Suppose 1 - 7 = -s. Let a(p) = -s*p + 3*p + p. Calculate a(r(i)).
-6*i**2
Let s(p) be the third derivative of p**4/12 - 18*p**2. Let x(o) = -12*o. Determine x(s(c)).
-24*c
Let t(a) = -a. Let h be 1/5 - (-1524)/30. Let z(f) = 51 - h + 11*f**2. Calculate z(t(w)).
11*w**2
Let g be -6 - -8 - (-2)/(-1). Let q(n) = n - 2*n + g*n. Let z(k) = 5*k. What is z(q(j))?
-5*j
Let g(w) = -16*w. Let m(u) = 3*u. Let q(v) = 2*g(v) + 11*m(v). Let n(f) = 11*f. Let y(i) = 33*i. Let l(x) = -11*n(x) + 4*y(x). Calculate l(q(c)).
11*c
Let x(m) = 13*m. Let c(q) = -q + 7. Let f(v) = -1. Let k(l) = 2*c(l) + 14*f(l). Calculate x(k(p)).
-26*p
Let j(i) be the second derivative of i + 1/12*i**4 + 0*i**2 + 0*i**3 + 0. Let s(d) be the second derivative of -d**4/12 - 3*d. Calculate j(s(o)).
o**4
Let u(s) be the second derivative of s**4/6 + s. Let g = -10 + 15. Let q(d) = d - g*d**2 - d. What is u(q(r))?
50*r**4
Let w(j) = j. Let y(p) = 25*p. What is w(y(n))?
25*n
Let t(a) = 2*a. Let z(x) = 40*x + 7. Give t(z(b)).
80*b + 14
Let f(y) = -4*y + 0*y + y. Let k(q) = 4*q. Give k(f(g)).
-12*g
Let c(y) be the first derivative of y**5/120 + y**3 + 4. Let x(h) be the third derivative of c(h). Let n(s) = 117 - 117 - 2*s**2. What is x(n(p))?
-2*p**2
Let g(c) = 4*c. Let j(p) = 4*p. Let y(q) = -4*g(q) + 5*j(q). Let i(t) be the third derivative of -t**4/24 + 10*t**2. Calculate i(y(a)).
-4*a
Let j(r) = 12*r. Let m(y) = y**2 - 256. Determine j(m(w)).
12*w**2 - 3072
Let z(q) = -2464*q. Let j(f) = 2*f**2. Determine j(z(w)).
12142592*w**2
Let c(s) = -110*s**2. Let i(n) = 3*n**2. Determine i(c(y)).
36300*y**4
Let h(k) = -26*k**2 + 11*k. Let f(a) = -24*a**2 + 10*a. Let x(m) = -6*f(m) + 5*h(m). Let y(z) = z. Give y(x(w)).
14*w**2 - 5*w
Let a(s) = 3*s. Let n(y) = -3*y**2 + 8*y**2 - 715 + 715. Determine n(a(q)).
45*q**2
Let s(v) = -179*v**2. Let r(m) = 2*m. Give r(s(j)).
-358*j**2
Let q(y) be the second derivative of -2*y**3/3 + y. Let w(a) be the second derivative of 0*a**2 + 1/6*a**3 + 0 - 2*a. Calculate q(w(g)).
-4*g
Let l(s) = s**2. Let m(r) = -r**2 + 1. Let z(h) = 5*h**2 - 6. Let f(v) = -6*m(v) - z(v). What is f(l(j))?
j**4
Let z(f) = -2*f**2. Let s(m) = -1664*m**2. Determine s(z(y)).
-6656*y**4
Let j(i) = 6*i**2. Let x(q) = 7*q + 9. Determine x(j(c)).
42*c**2 + 9
Let b(j) = -32*j. Let c(u) = 8*u**2. Determine b(c(s)).
-256*s**2
Let z(v) = 2*v. Suppose 3*g = -4 + 34. Suppose -5*l + g = -0*l. Let k(u) = -4*u + 4*u - l*u**2. Give z(k(t)).
-4*t**2
Let j(s) = -110*s. Let n(p) = -2*p**2. Give j(n(w)).
220*w**2
Let v(o) = -3*o**2. Let z(y) = -7*y**2 - 34 + 34. Calculate z(v(j)).
-63*j**4
Let o(x) = -2*x. Let m(a) = 8 + 5*a**2 - 8 - 30*a**2. What is o(m(d))?
50*d**2
Let c(v) = 3*v. Let p(g) = -g. Suppose 0 = q - 3*q + 4*t + 10, 3*q - 1 = -t. Let h(n) = q*c(n) + 5*p(n). Let f(u) = 2*u. Give h(f(r)).
-4*r
Let h(r) = 52*r + 9. Let t(s) = -13*s - 2. Let o(n) = -2*h(n) - 9*t(n). Let g(m) = -2*m. Determine o(g(u)).
-26*u
Let z(l) be the third derivative of 0*l + 2*l**2 + 1/12*l**4 + 0 + 0*l**3. Let u(p) be the second derivative of -p**4/12 - p. Give z(u(s)).
-2*s**2
Let f = 9 - 7. Let t(o) = -f*o + o - o. Let y(b) = -12*b. Let i(k) = 3*k. Let s(x) = -9*i(x) - 2*y(x). Calculate s(t(j)).
6*j
Let f(n) = -4*n. Let r(w) = 9*w. Let s(m) = 14*f(m) + 6*r(m). Let c(a) = -4*a. Calculate s(c(p)).
8*p
Let q(l) = l. Let m = 2 - 2. Suppose m = 2*z + 3*z - 10. Let v(x) = 2 + 2*x**z - 2 - x**2. Give q(v(b)).
b**2
Let g(b) be the second derivative of b**3/2 + 8*b. Let t(x) = -7*x. Give t(g(f)).
-21*f
Let a(p) = -3*p - 4. Let d(t) = 1. Let b(q) = -a(q) - 4*d(q). Let l(o) = -19*o**2. Determine l(b(g)).
-171*g**2
Let v = 17 + -15. Let f(t) = 0*t**2 - t**v - 4*t**2 - 3*t**2. Let n(i) = i**2. What is n(f(y))?
64*y**4
Let r(s) = -2*s. Let f(b) = -38 + 5*b**2 + 38. Give f(r(v)).
20*v**2
Let u(c) be the first derivative of -c**3 + 1. Let z(h) be the third derivative of 1/8*h**4 - 3*h**2 + 0 + 0*h + 0*h**3. Determine u(z(r)).
-27*r**2
Let n(h) be the second derivative of h**3/3 + 17*h. Let i(q) = 36*q. What is n(i(f))?
72*f
Let l(o) = -5*o. Let m(h) = 53*h**2. What is m(l(n))?
1325*n**2
Suppose -4*w + 0*w = 20. Let y(j) = 7*j. Let n(r) = -11*r. Let o(l) = w*n(l) - 8*y(l). Let i(d) be the first derivative of -d**2 - 1. Calculate i(o(h)).
2*h
Let d(a) be the third derivative of -2*a**4/3 - a**2. Let v(k) = -2*k**2. What is v(d(b))?
-512*b**2
Let w(s) = 93*s - 9. Let b(q) = 17*q. Calculate w(b(i)).
1581*i - 9
Let j(l) = 6*l**2 - 5*l + 5. Let z(f) = 19*f**2 + 11 + 2*f**2 - 18*f + 7. Let a(g) = -18*j(g) + 5*z(g). Let q(t) = 3*t**2 + 51 - 51 - t**2. Determine q(a(x)).
18*x**4
Let b(d) = -16*d + d - 17*d + 2*d. Let q(r) = -r. Calculate b(q(n)).
30*n
Let s(r) = -2*r. Suppose 0 = -2*p + 6*p. Let o(d) = -1 + p*d**2 + 1 + 3*d**2. Determine o(s(v)).
12*v**2
Let u(x) = 3. Let t(m) = m + 2. Let d(k) = 3*t(k) - 2*u(k). Let g(s) be the third derivative of s**5/30 + 2*s**2. Give d(g(y)).
6*y**2
Let w(r) = 3*r. Let c(t) = -2*t**2 - 3*t**2 + 3*t**2 + 6*t**2. What is w(c(d))?
12*d**2
Let b(q) = -32*q**2. Let o(i) = -21*i**2. Determine o(b(t)).
-21504*t**4
Let j(x) = 2*x. Let i(z) = -523*z**2. Calculate i(j(u)).
-2092*u**2
Let m(i) = -6*i. Let a(x) = 4*x**2 + 2. What is a(m(d))?
144*d**2 + 2
Let v(o) = -6*o**2. Let l(j) = 8*j. Calculate l(v(p)).
-48*p**2
Let v(q) = -6*q**2. Let j(i) = -16*i + 6*i + 7*i. Determine j(v(g)).
18*g**2
Let q(k) = 3*k. Suppose -3*i - 3*w - 18 = 0, 3*i - 4*w - 16 = 1. Let p(z) = -3*z - 4. Let y(r) = -r - 1. Let n(j) = i*p(j) + 4*y(j). What is q(n(s))?
-3*s
Let o(z) be the second derivative of 5*z**4/6 - 185*z. Let a(y) be the second derivative of -y**4/6 + y. What is o(a(b))?
40*b**4
Let t(i) = -8*i. Let b(m) = 81*m**2. Determine b(t(l)).
5184*l**2
Let n(u) = 8*u**2. Let w(o) be the second derivative of -o**4/4 - o. Give w(n(h)).
-192*h**4
Let n(u) = -15*u. Let g(q) = 4*q**2 - 7. Let f(x) = 2*x**2 - 3. Let c(r) = 7*f(r) - 3*g(r). Give n(c(v)).
-30*v**2
Let x(c) = -5*c. Let g(r) = 3*r**2 - 2*r. Let a(n) = -4*n**2 + 3*n. Let w(d) = 4*a(d) + 6*g(d). Determine x(w(m)).
-10*m**2
Let r(h) = 2*h**2. Let s(l) be the third derivative of -l**7/2520 - l**4/12 + 3*l**2. Let j(i) be the second derivative of s(i). Determine j(r(k)).
-4*k**4
Let h(r) = -r**2. Let m(k) be the third derivative of -k**7/1260 + k**4/12 + 3*k**2. Let l(w) be the second derivative of m(w). Determine h(l(d)).
-4*d**4
Let d(m) = 13*m**2 + 11*m. Let l(h) = -7*h**2 - 6*h. Let x(v) = -6*d(v) - 11*l(v). Let i(k) = 6 - 3*k + 4*k - 6. Give x(i(a)).
-a**2
Suppose 0 = 2*b - 6*b. Let a(u) = -6*u + b*u + 2*u. Let d(g) be the third derivative of g**4/12 - 20*g**2. Determine d(a(s)).
-8*s
Let y(n) = 22969*n**2 - 1339. Let l(z) = -103*z**2 + 6. Let i(f) = 1339*l(f) + 6*y(f). Let k(r) = -2*r**2. Calculate k(i(d)).
-21218*d**4
Let f(y) = 40*y. Let n(b) = -22*b. Calculate f(n(a)).
-880*a
Let k(u) = 2*u**2. Suppose -1 = r - 7. Let o(i) = -5*i - r*i - 2*i + i. Give o(k(v)).
-24*v**2
Let j(h) = 8*h**2. Let b(i) = 2*i**2. Calculate b(j(p)).
128*p**4
Let s(g) be the third derivative of -3*g**4/4 + 5*g**2. Let k(i) = 2*i**2. Determine s(k(u)).
-36*u**2
Let s(z) be the third derivative of z**5/30 + 2*z**2. Let k(c) = -94 + 94 - 2*c. What is k(s(l))?
-4*l**2
Let r(u) = -15*u. Let g(z) = -132*z**2 - 133*z**2 + 266*z**2. Give g(r(m)).
225*m**2
Let h(d) = -3*d**2. Let w(b) be the second derivative of -b**3/3 - 11*b. Calculate h(w(n)).
-12*n**2
Let a be ((-8)/(-12))/((-2)/(-6)). Suppose 4*w = a*k + 10, 6*k = 3*w + k - 25. Let z(s) = s + w + 0. Let p(n) = -n**2. Determine z(p(q)).
-q**2
Let x(d) = -d**2. Let g(b) be the third derivative of -11*b**4/8 + 4*b**2. What is g(x(o))?
33*o**2
Let p(v) = 5*v + 11. Let x(d) = -5*d. Give x(p(s)).
-25*s - 55
Let r(h) be the third derivative of -13*h**5/60 - 2*h**2. Let x(f) = -f**2. What is r(x(y))?
-13*y**4
Suppose 4*f + 6 = 3*b + 2*f, 0 = b - f - 2. Let u(p) = -5*p**b + p**2 + 0*p**2. Let j(m) = m**2. What is u(j(c))?
-4*c**4
Let y(v) = -14*v. Let i(q) = -3*q + 16. What is y(i(u))?
42*u - 224
Let n(s) = -8*s**2 + 2*s. Let a(q) be the second derivative of -q**3/6 - q - 11. Determine a(n(x)).
8*x**2 - 2*x
Let a(d) = -d - 1. Let l(o) be the third derivative of o**5/12 + o**4/24 + o**3/6 - 3*o