.
-3*r**2
Let k(g) = 10*g**2. Let q(a) be the second derivative of a**3/2 - 2*a. Calculate k(q(u)).
90*u**2
Let k(x) = 3*x. Suppose 3*q = 6*q. Let u(t) be the third derivative of q*t - t**2 + 1/12*t**4 + 0 + 0*t**3. Determine k(u(o)).
6*o
Let p(q) = 77*q. Let d(v) = 3*v**2. Calculate p(d(l)).
231*l**2
Let t(m) = -2*m. Let j(w) = 21*w + 36. Let a(c) = 3*c + 5. Let l(g) = -15*a(g) + 2*j(g). What is t(l(q))?
6*q + 6
Let i(r) be the third derivative of r**4/6 + r**2. Suppose -k + 2*k - 2 = 0. Let u(s) = 6*s - k*s - 2*s. Calculate i(u(v)).
8*v
Let n(t) be the third derivative of -t**4/24 + t**2. Let v(h) = -h**2 + 3*h - 3. Let g(u) = -2*u**2 + 5*u - 5. Let d(b) = 6*g(b) - 10*v(b). What is d(n(q))?
-2*q**2
Let b(r) = -r. Let n(x) = 36*x. Let k(g) = -7*g. Let l(f) = 11*k(f) + 2*n(f). Let i(p) = -6*b(p) + l(p). Let h(a) = -10*a. Determine i(h(o)).
-10*o
Let s(i) = -i. Suppose 0*t = -3*t + d + 9, 2*t + 2*d = -2. Let m(r) = t + 5*r - 2. What is m(s(o))?
-5*o
Let j(w) = -w**2. Let n(s) = 3*s**2 - 135. What is n(j(q))?
3*q**4 - 135
Let l(c) = 4660*c**2. Let p(z) = -9*z**2. Calculate p(l(m)).
-195440400*m**4
Let k(u) = u**2. Suppose -2*b + 39 + 5 = 0. Let i be b/3 + (-4)/(-6). Let c(p) = 8 - i + p**2. Give k(c(v)).
v**4
Let n(c) = -c**2. Let r(g) = 186*g. What is n(r(u))?
-34596*u**2
Let x(s) = -s. Let a(g) = 33*g - 20*g - 36*g. Calculate a(x(i)).
23*i
Let c(h) = -2*h**2. Let t(y) = -105*y**2. Give c(t(l)).
-22050*l**4
Suppose 4*f - 7 - 17 = -3*k, -2*k + 11 = f. Suppose f*n - z - 11 - 6 = 0, 5*n + 2*z - 43 = 0. Let r(x) = -x**2 - 7*x + n*x. Let u(o) = o. Determine r(u(j)).
-j**2
Let d(h) = -3*h. Suppose 2*k - 2 = 3*n + 6*k, -2 = 2*n + 3*k. Let z(s) be the first derivative of -n - 1/2*s**2 + 0*s. What is d(z(y))?
3*y
Let u(p) = 2*p**2 + 223*p - 223*p. Suppose 5*f = w + 3 + 6, 0 = -3*f + 4*w + 2. Let j(l) = -4*l**2 - 4*l**f + 2*l**2. Determine j(u(x)).
-24*x**4
Let l(f) = 3*f. Let d(a) = -2*a. Let v(x) = -7*d(x) - 5*l(x). Let c(m) = -2*m**2 + 4*m**2 - 3*m**2. What is v(c(t))?
t**2
Let m(q) = 40*q**2. Let r(s) = 9*s**2. What is m(r(n))?
3240*n**4
Let w(d) = 9069*d. Let r(y) = y**2. Give w(r(k)).
9069*k**2
Let v(s) = 2*s - 98. Let i(z) = -2*z**2. Give v(i(q)).
-4*q**2 - 98
Let c(d) = -9*d**2. Let b(r) be the third derivative of -r**4/12 - 7*r**2. What is c(b(t))?
-36*t**2
Let o(w) = w**2. Suppose 4*y = -4*q - 16, 6 + 10 = 2*q - 4*y. Let x(r) = 5*r + 3*r + q*r - 3*r. Determine x(o(j)).
5*j**2
Let i = -267 + 507. Let t(c) = 5*c**2 + i*c - 240*c. Let v(h) = 3*h. Determine v(t(u)).
15*u**2
Let h(a) = 190*a**2 - 80*a - 160. Let n(k) = 7*k**2 - 3*k - 6. Let i(m) = -3*h(m) + 80*n(m). Let o(z) = 0 - 2*z**2 + 0. Give o(i(g)).
-200*g**4
Let g(d) be the third derivative of 0*d + 0*d**3 - 1/30*d**5 + 0 + d**2 + 0*d**4. Let n(p) = -2*p**2. Give n(g(u)).
-8*u**4
Let a(g) = -g**2. Let j(n) = -2*n - 9747. Determine j(a(i)).
2*i**2 - 9747
Let r(q) be the first derivative of -q**3/3 - 66. Let z(t) be the third derivative of t**4/4 - t**2. Determine r(z(j)).
-36*j**2
Let d(f) be the second derivative of 2*f**4/3 + 2*f. Let p(u) = 214 - 214 - 2*u. What is d(p(y))?
32*y**2
Let l = -27 + 44. Let c(s) = 2*s - 2*s + 15*s**2 - l*s**2. Let n(x) be the second derivative of 5*x**3/6 - x. What is n(c(i))?
-10*i**2
Let g(i) be the second derivative of 7*i**4/12 - 2*i. Let l(z) = 11 - 11 - z. Calculate g(l(y)).
7*y**2
Let a(z) = 2*z - 4*z - 16*z. Let n(c) = 2*c**2. Determine a(n(g)).
-36*g**2
Let a(h) be the second derivative of 1/6*h**4 + 0*h**3 + 0 + 0*h**2 - 2*h. Let l(b) = 5*b**2. What is a(l(f))?
50*f**4
Let a(k) be the third derivative of k**5/30 + 3*k**2. Let q(b) = 8*b. Suppose -2*t = -4 + 16. Let j(h) = 7*h. Let i(r) = t*q(r) + 7*j(r). What is a(i(c))?
2*c**2
Let h(k) = 5*k**2 + k**2 - 3*k**2 + 5*k. Let r(y) = -2*y**2 - 3*y. Let f(c) = -3*h(c) - 5*r(c). Let v(j) = -j. Determine f(v(m)).
m**2
Let r(k) = 5*k**2. Let l(n) = -3*n. Let b(t) = 4*t. Let o(c) = -4*b(c) - 5*l(c). What is r(o(h))?
5*h**2
Let q(y) = 20*y**2. Let c(j) be the second derivative of -j**3/2 - 41*j. Determine q(c(i)).
180*i**2
Suppose -3*l = 2*r - 4, -5 = l - 6*l - 5*r. Suppose -4*a - 3*h = 4, -a - l = -4*h - 20. Let x(y) = 3*y**2 + y**a - 8*y**2. Let w(s) = -2*s. Give x(w(g)).
-16*g**2
Let m(q) be the first derivative of 0*q + 2/3*q**3 - 1 + 0*q**2. Let v(s) = -s**2 - 2*s. Let f(g) = 3*g**2 + 5*g. Let u(a) = 2*f(a) + 5*v(a). What is u(m(h))?
4*h**4
Let w(x) = x**2. Let i be (-2)/4*(3 + -4). Let z(v) be the first derivative of -i*v**2 + 0*v + 1. What is z(w(t))?
-t**2
Let y(m) = m**2 + 11*m. Let f(k) = 14*k. Determine y(f(o)).
196*o**2 + 154*o
Let i(w) = -2*w - 4*w + 6*w + 7*w. Let k(n) = -4*n. Let c(h) = 3*i(h) + 5*k(h). Let a(l) = 6*l**2. Determine c(a(f)).
6*f**2
Let z(q) be the first derivative of 2*q**3/3 + 9. Let p(w) = -2*w. Calculate z(p(l)).
8*l**2
Suppose -5*j + 4*j + 2 = 0. Let x(p) = 2*p**j - p**2 + 0*p**2. Let b(a) = 1 - 11*a + 9*a - 1. What is x(b(c))?
4*c**2
Let z(c) be the first derivative of 2*c**2 - 2. Suppose 0 = 5*a - 2*w - 5, 4*w + 23 = -5*a + 58. Let l(d) = -3 + a + d. Give z(l(t)).
4*t
Let o(t) = -3*t**2. Let p(n) be the second derivative of -n**4/2 + 10*n. What is o(p(g))?
-108*g**4
Let b(g) = -3*g**2 - 11*g. Let l(h) = -h**2 - 4*h. Let v(d) = 4*b(d) - 11*l(d). Let k(i) be the first derivative of 5 - 3*i**3 - 8 + 4*i**3. Give k(v(q)).
3*q**4
Let x(f) be the third derivative of f**5/30 - f**2. Let z(d) be the third derivative of d**5/20 - 4*d**2. What is x(z(w))?
18*w**4
Let m(i) be the second derivative of -i**3/6 + i. Let j(o) = o. Let g(c) = 3*c. Let z(r) = 3*g(r) - 8*j(r). Calculate m(z(u)).
-u
Let z(t) = t**2. Let q(k) = 9*k**2 - 8. Let l(v) = -5 + 2 - 3*v**2 + 6. Let u(b) = 8*l(b) + 3*q(b). Give u(z(g)).
3*g**4
Let b(c) = 2*c. Let y(z) = -88*z. Calculate y(b(p)).
-176*p
Let j(a) = 6*a. Let n(g) = -118*g**2. What is n(j(b))?
-4248*b**2
Let q(k) = -3*k. Let z(a) = -352 + 352 - 2*a. Determine z(q(o)).
6*o
Let k(w) = -w. Let s(m) = -11*m. Give k(s(g)).
11*g
Let w(a) = 8*a**2 - 6*a - 6. Let g(p) = -23*p**2 + 17*p + 17. Let v(r) = 6*g(r) + 17*w(r). Let b(t) = -10*t. Give b(v(d)).
20*d**2
Let y(w) = 22*w. Let f(s) = -6*s**2 - s. What is f(y(b))?
-2904*b**2 - 22*b
Let z(w) = 0*w**2 + w**2 + 2*w**2 - 2*w**2. Let q(b) = 12*b**2 - 11*b + 11. Let j(p) = -p**2 + p - 1. Let y(n) = -22*j(n) - 2*q(n). What is z(y(r))?
4*r**4
Let n(f) = 16*f**2. Let o(g) = 18*g - 11. Let w(a) = -10*a + 6. Let h(d) = -6*o(d) - 11*w(d). Calculate n(h(j)).
64*j**2
Let s(w) = 3*w. Let d(a) be the second derivative of 0 + 0*a**2 - 1/6*a**4 + 2*a + 0*a**3. What is d(s(l))?
-18*l**2
Let t(v) = -2*v**2. Let m(h) = -h**3 + 6*h**2 - 3*h - 4. Let w be m(5). Let n(b) = -w*b**2 + 13 - 13 + 0*b**2. Give n(t(r)).
-24*r**4
Let v(g) = g. Let m(h) = h**2 + 9*h**2 - 12*h**2. What is v(m(a))?
-2*a**2
Let x(z) = 11*z**2 + 0*z - 15*z**2 + 0*z. Let a(p) be the second derivative of p**4/12 - p. What is a(x(w))?
16*w**4
Let s(k) = 2*k**2. Let u(v) = 44*v**2. Determine s(u(f)).
3872*f**4
Let q(b) = -4*b + 2*b + 0*b. Let w(r) = -12*r - 5. Let p(f) = -34*f - 14. Let z(n) = 5*p(n) - 14*w(n). Calculate z(q(g)).
4*g
Let y(i) = -i. Suppose -t = -3 + 2. Let h = 5 - 7. Let r(c) = 2. Let q(p) = p + 1. Let l(n) = h*q(n) + t*r(n). Determine y(l(b)).
2*b
Let a(t) = -t**2. Let d(s) = -14*s - 4. Let p(m) = 12*m + 3. Let o(u) = 2*d(u) + 3*p(u). Calculate a(o(f)).
-64*f**2 - 16*f - 1
Let x(b) = 2*b**2. Let f(k) = 8*k**2 - 2*k**2 - 5*k**2. Calculate x(f(j)).
2*j**4
Let t(z) = -3*z**2 + 2*z - 1. Let p be t(1). Let i(d) = 4*d. Let m(r) = -r. Let v(q) = p*i(q) - 9*m(q). Let j(w) = 7*w**2. What is j(v(f))?
7*f**2
Let j(o) = -2*o**2. Let k(p) = 1041*p**2. What is j(k(c))?
-2167362*c**4
Let h(w) = -w**2 - 4*w**2 + 3*w**2. Let n(x) = -x**2 + 4 - 4 + 0. Calculate h(n(k)).
-2*k**4
Let u(m) = -2*m**2. Let w(g) = g**2 - 4*g + 4. Let h be 10/(-50) - (-16)/5. Let t(b) = -2*b**2 + 3*b - 3. Let p(q) = h*w(q) + 4*t(q). Determine u(p(a)).
-50*a**4
Let l(s) = 3*s + 0*s - 2*s. Let q(i) be the first derivative of -i**5/30 + i**3 + 2. Let f(v) be the third derivative of q(v). Calculate l(f(u)).
-4*u
Let q(o) = 4*o + 5. Let i(n) = -3*n - 4. Let m(w) = -5*i(w) - 4*q(w). Let t(r) be the second derivative of -r**3 - 19*r. What is m(t(l))?
6*l
Let y(n) = n. Let q(k) = 2*k - k + k + 