v(g) = -2*g**2. Give v(c(n)).
-8*n**2
Let o(s) = -1. Let c(a) = 2*a - 3. Let t(d) = c(d) - 3*o(d). Let q(x) = 5*x**2 + 6*x. Let z(p) = -p**2 - p. Let h(n) = -q(n) - 6*z(n). Give h(t(v)).
4*v**2
Let r(i) = i**2. Let p(m) = -4*m**2 + 3. Let t(d) be the second derivative of -d**4/4 + d**2 - 3*d. Let g(k) = -2*p(k) + 3*t(k). What is r(g(s))?
s**4
Let s(a) = 14*a**2. Suppose -2*v - 4*n = 0, n = -2*v - 2*n + 1. Let y(k) = -2*k**2 + 2*k**2 - 2*k**v. Give s(y(w)).
56*w**4
Let k(r) = -10728*r. Let d(t) = 2*t. What is d(k(i))?
-21456*i
Let u(d) = d. Let s(w) = -3*w**2 + 2*w. Let f(j) = -5*j + 4*j**2 + j**2 + 2*j**2. Let t be -3 + 8*(-3 + 4). Let v(r) = t*s(r) + 2*f(r). Calculate u(v(z)).
-z**2
Let q(s) = 5*s**2. Let w(x) be the first derivative of -3 + 0*x + 0*x**2 + 2/3*x**3. Calculate w(q(l)).
50*l**4
Let s(k) = 10 - 2*k - 10 - 4*k. Let g(q) = -q**2 + 5*q + 5. Let x(c) = -c**2 + 4*c + 4. Let z(m) = 4*g(m) - 5*x(m). Determine s(z(w)).
-6*w**2
Let a(d) = 6*d**2. Let i(m) = -8*m**2 - 4*m. Let g(y) = 9*y**2 + 5*y. Let c(n) = -4*g(n) - 5*i(n). What is a(c(j))?
96*j**4
Let s(c) = 6*c**2. Let u(j) = 19*j**2. Let h(f) = -7*s(f) + 2*u(f). Let p(g) = 2*g. Let v(d) = -2*d. Let w(q) = p(q) + 2*v(q). Calculate w(h(t)).
8*t**2
Let d(y) = y. Let l(k) be the second derivative of -k**6/120 - k**3/6 + 2*k. Let c(m) be the second derivative of l(m). Determine c(d(a)).
-3*a**2
Let l(t) be the third derivative of t**5/20 - 3*t**2. Let z(n) be the first derivative of -n**3 - 1. Determine l(z(b)).
27*b**4
Let j(p) = 3*p. Let f(u) be the second derivative of u**4/12 - u**2/2 - 4*u. Let q(v) = -8*v**2 + 10. Let n(l) = 10*f(l) + q(l). Give n(j(a)).
18*a**2
Let p(o) = o**2. Let b(s) = 646*s. What is p(b(k))?
417316*k**2
Let c(o) = 5*o**2 - 2. Let l(b) = -b**2. What is l(c(f))?
-25*f**4 + 20*f**2 - 4
Let w(j) = 4*j**2. Let f(p) = 887*p. Calculate f(w(g)).
3548*g**2
Let f(y) = 5*y**2. Let b(q) = -192*q**2. Calculate f(b(m)).
184320*m**4
Let f(g) = -g. Let a(j) = 3*j**2 + j - 669. Calculate a(f(o)).
3*o**2 - o - 669
Let b(z) = 2*z**2. Let r(c) = -2064*c**2. Calculate r(b(v)).
-8256*v**4
Let t(m) be the second derivative of 0 + 0*m**4 - m**2 - m + 0*m**3 - 1/20*m**5. Let l(v) be the first derivative of t(v). Let a(y) = -y. Determine a(l(i)).
3*i**2
Let c(m) = 2*m + 2. Let v(t) = t**2 - t - 1. Suppose -r - 3 = -1. Let k(n) = r*v(n) - c(n). Let h(x) = 0*x + 0*x - x. Determine k(h(z)).
-2*z**2
Suppose 78 = -13*k + 16*k. Let b(z) = -k*z + 2 - 2 + 27*z. Let y(m) = m**2 + m + 1. Let r(j) = 3*j**2 + 5*j + 5. Let l(w) = r(w) - 5*y(w). Calculate b(l(c)).
-2*c**2
Let z(s) = -4*s. Let y = 3 - 1. Let b(j) = 0 + 5*j**y + 0 - 4*j**2. Determine z(b(m)).
-4*m**2
Let k(v) = -2*v**2. Suppose -3*g = -6 - 0. Let h(s) = 2*s**2 - 5*s**2 + 0*s**g + 5*s**2. Determine k(h(b)).
-8*b**4
Let x(b) = b. Let p(c) = c**3 - 5*c**2 + 2*c - 7. Let j be p(5). Let v(f) = -f**2 + 3*f + 1. Let z be v(j). Let a(d) = d + 1 - z. Give x(a(u)).
u
Let m(t) = -t**2 - 8*t - 7. Let k be m(-6). Let v be 5*((-7)/5 - -2). Let s(c) = -4*c + k*c - v*c. Let w(z) = -2*z. Give s(w(p)).
4*p
Let l(u) = -12*u**2. Let v(g) be the third derivative of g**5/30 + 64*g**2. What is v(l(x))?
288*x**4
Suppose 4*l + 0 = 8. Let q(b) = l + 2*b - 2. Let a(k) be the first derivative of 2*k**3/3 - 2. Calculate a(q(x)).
8*x**2
Let i(n) = 5*n. Let o(l) = 681*l**2. Calculate o(i(h)).
17025*h**2
Let j = -14 - -16. Let y(f) = -5*f + 5*f - f**j. Let k(o) = -9*o**2. Calculate y(k(t)).
-81*t**4
Let a(p) be the second derivative of 0*p**2 + 0 + 1/2*p**3 - p. Let t(j) = -j**2 - 18 + 18 - j**2. What is t(a(s))?
-18*s**2
Let b(p) = -3*p. Let m be 6/9 - (-20)/6. Let k(l) = m*l - 3*l + 0*l + 2*l. What is b(k(z))?
-9*z
Let z(i) = -173*i. Let m(v) = 4*v**2. Determine m(z(x)).
119716*x**2
Let a(k) be the second derivative of -k**4/12 + 3*k. Let t(y) = 6*y**2 + 3*y**2 - 3*y**2. What is t(a(q))?
6*q**4
Let q(r) = 2*r**2. Let i(n) = -n**2 - 2*n**2 - n**2 + 5*n**2. Give q(i(o)).
2*o**4
Let r(v) = 34*v. Let l(i) = 4*i**2. Determine r(l(t)).
136*t**2
Let r(w) = -3*w**2. Let t(z) = -583*z**2. Determine t(r(f)).
-5247*f**4
Let z(v) be the second derivative of -v**4/12 - v**2/2 + v. Let a(h) be the first derivative of z(h). Let j(w) = -4*w**2. Give a(j(s)).
8*s**2
Let k(g) = 4*g**2. Let p(z) = -1091*z**2. Give k(p(m)).
4761124*m**4
Let g(t) = -t + 1413 - 1413. Let v(k) = -15*k. What is v(g(y))?
15*y
Let f(w) = 2*w. Let y(x) = 201 - 201 - 3*x**2. What is y(f(o))?
-12*o**2
Let d(h) = -103*h**2 + 2. Let t(i) = -2*i. Calculate d(t(m)).
-412*m**2 + 2
Let k(c) = 1 - 7*c**2 - 1 + 9*c**2. Let y(n) = 5*n - 5. Let t(f) = -f**2 + f - 1. Let u(j) = 5*t(j) - y(j). Determine k(u(o)).
50*o**4
Suppose a + 33 = 2*n + 6*a, -4*a = 2*n - 30. Let t = -5 + n. Let j(o) = 2*o + t*o - 5*o - 3*o. Let c(q) = -q. What is j(c(u))?
2*u
Let a(o) = -2*o**2 - 16*o. Let d(x) = -6*x**2. Determine a(d(j)).
-72*j**4 + 96*j**2
Let t(y) = 6*y. Let j(f) = 24*f. Let g(r) = -2*j(r) + 9*t(r). Let v(x) = x**2. Calculate g(v(k)).
6*k**2
Let d(j) = -4*j**2 - 6*j**2 + 9*j**2. Let y(w) = -3*w + 0*w + 4*w + 0*w. What is d(y(n))?
-n**2
Suppose 0 = 3*v - 5*a - 4, -5*v = -v - 3*a - 9. Let b(p) be the second derivative of 1/6*p**4 + 0*p**2 + p + 0 + 0*p**v. Let f(o) = 3*o**2. Determine f(b(i)).
12*i**4
Let u(s) be the second derivative of 0*s**2 - 1/3*s**3 + 2*s + 0. Let v(w) = -6*w. Let j(n) = n. Let t(k) = -3*j(k) - v(k). Calculate t(u(q)).
-6*q
Let x(j) = -2*j**2. Let h(b) = 9*b**2 + 3. Let f(a) = -9*a**2 - 4. Let v(i) = -3*f(i) - 4*h(i). What is x(v(l))?
-162*l**4
Let f(u) = -2*u**2. Let i(x) be the second derivative of 0*x**3 + 0*x**2 + 0 - x - 1/6*x**4. Determine i(f(t)).
-8*t**4
Let d(x) = 7*x**2. Let r(v) = 9*v**2 - 5*v**2 + 2*v**2 - 5*v**2. Calculate d(r(j)).
7*j**4
Let s(f) = f**2. Let b be (4/12)/(1/27). Let a(h) = -5*h**2 + b - 9. Calculate a(s(l)).
-5*l**4
Let s(c) be the first derivative of -c**3/3 + 13. Let z(k) = -10*k. Give s(z(d)).
-100*d**2
Let a(q) = q. Let w be 3/(-9) + 10/3. Let f(g) = 4*g + w - 3 - 3*g. Calculate a(f(d)).
d
Let y(j) be the third derivative of -j**7/840 + j**4/8 - 4*j**2. Let x(l) be the second derivative of y(l). Let t(m) = -m**2. Give t(x(n)).
-9*n**4
Let y(a) = 4*a. Let n(j) = 1270*j**2. Determine y(n(q)).
5080*q**2
Suppose -1 = j - 3. Let t(g) = j*g - 3*g + 0*g + 2*g. Let n(s) = 2*s**2. Give t(n(k)).
2*k**2
Let p(j) = -j. Let a(o) be the first derivative of 13*o**3/3 + o - 7. Determine a(p(n)).
13*n**2 + 1
Let c(g) be the second derivative of -2*g**3/3 - 11*g - 1. Let s(k) = -4*k + 4*k - 4*k**2. Give c(s(i)).
16*i**2
Let u(f) = -2*f**2 - 5*f + 5. Let r(l) = -2 + l**2 + 14*l + 1 - 13 + 5*l**2. Let x(j) = 5*r(j) + 14*u(j). Let i(z) = -2*z + 0*z - 3*z. Give x(i(h)).
50*h**2
Let o(y) be the second derivative of y**4/6 + y. Let w(b) = -4*b + 6*b + 0*b. Calculate w(o(n)).
4*n**2
Let v(r) = 28*r + 11. Let w(t) = 1. Let s(d) = v(d) + 2*w(d). Let o(f) = -7*f - 3. Let p(g) = 26*o(g) + 6*s(g). Let i(c) = 2*c**2. Calculate i(p(m)).
392*m**2
Let m(y) = -2*y. Let l(c) = -21*c**2 + 5. Calculate m(l(r)).
42*r**2 - 10
Let m(p) = -2*p**2. Let l(d) = -2*d**2 + 156. Give l(m(v)).
-8*v**4 + 156
Let u(a) be the first derivative of -a**2/2 - 2. Let t(g) be the third derivative of 0 + 1/12*g**4 - 2*g**2 + 0*g**3 + 0*g. Determine t(u(q)).
-2*q
Let z(n) = -7*n. Let h(s) = -3*s**2. Let m(r) = -r**2. Let g(a) = 3*h(a) - 5*m(a). What is g(z(l))?
-196*l**2
Let q(c) = 3*c. Let i(y) be the first derivative of 2*y**3/3 + 4. What is i(q(o))?
18*o**2
Let h(a) = -3*a**2 - 4*a**2 + 4*a**2. Let m(x) = 4. Let z(t) = t - 9. Let q(o) = 9*m(o) + 4*z(o). Determine q(h(n)).
-12*n**2
Let v(k) = -5*k. Let m(l) = 2*l**2 - 4. Let j(c) = 3*c**2 - 3. Let p(w) = -3*j(w) + 4*m(w). Let r(u) be the first derivative of p(u). What is r(v(b))?
10*b
Let m(o) = o. Let t(z) = 3*z. Let y(x) = -5*m(x) + 2*t(x). Let k(j) be the third derivative of j**4/12 - j**2. Determine k(y(n)).
2*n
Suppose 3*z = -n - 47, 19 + 9 = -2*z - 4*n. Let i(s) = 7*s**2 + 3*s. Let w(p) = 36*p**2 + 16*p. Let u(v) = z*i(v) + 3*w(v). Let m(o) = o. Calculate u(m(f)).
-4*f**2
Let s(f) = 5*f - 2*f + 3*f. Let j(h) = -h. Give j(s(p)).
-6*p
Let z(x) = 7*x**2 - 8*x. Let s(w) = 2*w**2. Determine s(z(l)).
98*l**4 - 224*l**3 + 128*l**2
Let v(o) = 4*o**2. Let x(y) = 18*y**2. Give v(x