*i. Let g(s) be the second derivative of s**3 - 3*s. Determine v(g(m)).
6*m
Let m(b) = 4*b - 11. Let x(q) = 10*q**2. Give x(m(o)).
160*o**2 - 880*o + 1210
Let v(a) = 6*a. Let h be 26/6 + (-10)/(-15). Let q(g) = -g - 3*g + h*g - 3*g. Give q(v(z)).
-12*z
Let w(x) = 3*x**2. Let u(i) = 3*i - 4*i + 2*i. Determine u(w(z)).
3*z**2
Let h(l) = 2*l. Let o(u) be the third derivative of -5*u**5/12 + u**3/3 - 2*u**2 + 18*u. What is o(h(b))?
-100*b**2 + 2
Let a(v) = 4*v**2. Let s(z) be the second derivative of z**3/6 + 21*z. Determine s(a(l)).
4*l**2
Let s(r) = r. Let v(c) be the third derivative of 0*c**3 + 0*c**4 + 0*c + 0 + 7/60*c**5 - 6*c**2. Calculate s(v(z)).
7*z**2
Let r(t) = t. Let z(d) = d + 38. Let b(k) = k + 37. Let g(p) = 5*b(p) - 4*z(p). Determine r(g(h)).
h + 33
Let w(v) = -2*v. Let s(o) = 1. Let y(g) = -g. Let l(i) = 1. Let q(t) = -3*l(t) + y(t). Let n be (-6)/21 + (-24)/14. Let j(c) = n*q(c) - 6*s(c). What is j(w(b))?
-4*b
Let f(g) = 4*g**2 - g**2 - g**2. Let v(c) be the third derivative of 0*c**3 + 0*c + 1/24*c**4 + 0 + 3*c**2. What is v(f(s))?
2*s**2
Let d(v) = 19*v. Let o(k) = 73*k. Give o(d(m)).
1387*m
Let z(s) = 6*s**2. Let p(x) = -x**2 - 1. Let m(w) = 6*w**2 + 5. Let u(b) = 2*m(b) + 10*p(b). What is z(u(h))?
24*h**4
Let v(o) = -3*o**2. Let t = -8 - -8. Suppose 2*a - a - 2 = t. Let g(p) = 3*p**2 - 2*p**a - 2*p**2. Determine v(g(f)).
-3*f**4
Let n(h) = -4*h**2. Let r(o) be the third derivative of -o**4/24 + 7*o**2. What is r(n(t))?
4*t**2
Let c(m) = 9*m**2. Let t(x) be the first derivative of 3*x**2/2 + 21. What is t(c(a))?
27*a**2
Let t(d) = d**2 - 3*d + 2. Let z be t(1). Let h(n) = z*n + 12*n - 9*n + 3*n. Let b(f) be the second derivative of -f**3/3 - f. What is b(h(c))?
-12*c
Let h(i) = -9*i**2. Let q(t) = -10*t**2. What is q(h(p))?
-810*p**4
Let x(u) = -43*u**2 - 6. Let z(m) = 2*m. What is z(x(q))?
-86*q**2 - 12
Let d(j) = -j**2 + 7*j**2 - 2*j**2 - 3*j**2. Let z(o) = -13*o**2. Give z(d(n)).
-13*n**4
Let l(j) be the third derivative of -j**5/60 + 5*j**3/6 - 2*j**2. Let n(x) be the first derivative of l(x). Let u(f) = -3*f. Calculate u(n(o)).
6*o
Let p(i) = 21*i. Let h(g) = -435 + 435 + 2*g**2. Calculate h(p(y)).
882*y**2
Let r be ((-3)/2 + 1)*0. Let g(n) = 0 + r - 3*n**2. Let p(a) = -a - 3*a + 5*a. What is p(g(m))?
-3*m**2
Let j(c) = -2*c. Let z(o) = -464*o**2 - 3*o. Calculate j(z(w)).
928*w**2 + 6*w
Let n(o) = -o. Let q(d) be the second derivative of d**7/840 + d**4/3 - 3*d. Let i(z) be the third derivative of q(z). Determine n(i(l)).
-3*l**2
Let s(w) = -9*w. Let t(z) = 22*z**2. Calculate t(s(m)).
1782*m**2
Let v(r) = -2*r. Let y(o) = 2*o + 40. Determine v(y(d)).
-4*d - 80
Let g(x) be the third derivative of 0*x + 0 - 3*x**2 + 1/2*x**3 - 1/40*x**5 + 0*x**4. Let m(i) be the first derivative of g(i). Let u(w) = w**2. Give m(u(f)).
-3*f**2
Let g(x) = 0*x - 2*x + x. Let r(c) be the first derivative of -7*c**2/2 + 6. Calculate r(g(i)).
7*i
Let h(j) = 2*j**2. Suppose -4 = -3*y + 2. Let l(z) = -3*z**2 + 8*z**2 - z**y + 2*z**2. Calculate l(h(s)).
24*s**4
Let y(w) = -2*w. Let h(i) be the first derivative of i**3/3 + 5. Calculate y(h(p)).
-2*p**2
Let g(d) be the second derivative of 0*d**2 + 0 + d + 2/3*d**3. Let v(h) be the first derivative of -2*h**3/3 + 36. Give g(v(y)).
-8*y**2
Let r(t) = 2*t - 8*t + 3*t. Suppose k = -4*p - 19, 2*k + p + 13 = -2*p. Let v(i) = -2*i - 1 + k + 0. Determine r(v(y)).
6*y
Let u(f) be the second derivative of 3*f - 1/3*f**3 + 0 + 0*f**2. Let i(q) = -q**2. Calculate i(u(a)).
-4*a**2
Let w(j) = 2*j. Let l(o) be the second derivative of o**4/3 - 6*o. Give w(l(h)).
8*h**2
Let u(x) = 424*x**2. Let y(m) = -11*m**2. Calculate y(u(l)).
-1977536*l**4
Let d(t) be the second derivative of 2*t**4/3 + 9*t. Let z(p) = 2*p. What is d(z(g))?
32*g**2
Let k(v) = 2*v. Suppose -a = a - 8. Suppose -t = 2 - a. Let l(w) = -2*w**2 + 2*w**t - 2*w**2. Give k(l(p)).
-4*p**2
Let c(g) = -5283*g. Let h(f) = -2*f**2. Calculate h(c(j)).
-55820178*j**2
Suppose -5*b - 1 = -21. Suppose -h + 8 + 2 = -b*g, -h = 3*g + 4. Let d(y) = -y**2 - 2 + h. Let s(x) = x**2. What is s(d(l))?
l**4
Let f(s) = 14*s**2 - 8*s**2 - 5*s**2. Let q(b) = b**2 + 16*b. Give f(q(x)).
x**4 + 32*x**3 + 256*x**2
Let l(y) = 1705*y**2 - 6*y. Let d(i) = 3*i**2. What is l(d(c))?
15345*c**4 - 18*c**2
Let m(t) be the first derivative of t**2/2 - 1. Let h(p) = -2*p. Give h(m(w)).
-2*w
Let g(u) = 9*u. Let a(q) = 4*q**2 + 3. Let f(b) = 11*b**2 + 8. Let s(x) = 8*a(x) - 3*f(x). Determine s(g(i)).
-81*i**2
Let y(z) = 2*z. Let v = 3 + -3. Suppose -n + 6*n + 3 = 2*c, -5*n + c + 1 = v. Let j(i) = -3*i**2 - 4 - n + 5. What is j(y(m))?
-12*m**2
Let v(g) be the second derivative of -g**3/6 + 6*g. Let y(p) = -3*p**2. Determine y(v(x)).
-3*x**2
Let c(f) = 3*f**2. Let g(o) = o + 5. Let h(u) = -u - 4. Let d be (2/(-1))/(1/2). Let p(l) = d*g(l) - 5*h(l). Determine p(c(i)).
3*i**2
Let s(g) = 5*g. Let i(q) = -7*q - 11. Let o(z) = 4*z + 6. Let b(j) = -6*i(j) - 11*o(j). Calculate b(s(c)).
-10*c
Let l(k) = -10 + 23 - 2*k - 13. Let i(j) = -j**2 - 3*j. What is l(i(p))?
2*p**2 + 6*p
Let o(k) be the third derivative of -k**4/24 + k**3/6 + 3*k**2. Let p be o(1). Let u(i) = -3*i**2 + i**2 + p*i**2. Let y(b) = -4*b**2. Calculate y(u(v)).
-16*v**4
Let c(r) = 26*r**2 - 11*r. Let q(t) = -5*t**2 + 2*t. Let u(n) = 2*c(n) + 11*q(n). Let m(y) = 4*y**2. Calculate u(m(d)).
-48*d**4
Let v(s) = -6*s**2. Let a(b) = b. Let o(m) = -6*m. Let t(n) = 15*a(n) + 3*o(n). Calculate t(v(c)).
18*c**2
Let l(v) = -12*v - 236. Let b(d) = -d**2. Calculate l(b(w)).
12*w**2 - 236
Suppose 9*n - 11*n = -18. Let f(c) = -23*c + n*c + 11*c. Let k(r) = 6*r**2. Give k(f(w)).
54*w**2
Let y(s) = -s**2. Let t(p) = 12*p**2. Let d(x) = -2*t(x) - 27*y(x). Let f(m) = m**2 + m**2 - 4*m**2. What is d(f(a))?
12*a**4
Let q(u) = 3*u. Suppose 0*z = -4*z + 16. Suppose -z*j = j. Let v(b) = b + 1 - 1 + j*b. Calculate q(v(s)).
3*s
Let a(l) = -72*l**2. Let y(m) = -12*m**2 - 2. What is a(y(r))?
-10368*r**4 - 3456*r**2 - 288
Let d(t) = -8*t**2 - 4 + 4 + 0*t**2. Let q(z) be the third derivative of -z**5/60 - 11*z**2. Calculate d(q(y)).
-8*y**4
Suppose 4*z = 6*z - 4. Let n(u) = z*u**2 + 8*u**2 - 9*u**2. Let h(c) = c. What is h(n(i))?
i**2
Suppose 0 = 5*w - 3*w - 4. Let t(a) = 2*a**w + a**2 - 4*a**2. Let z(y) = 7*y. Determine t(z(n)).
-49*n**2
Let i(s) = 4*s**2 + 5. Let g(o) = -5*o**2 - 6. Let f(u) = -5*g(u) - 6*i(u). Let h(y) = 2*y**2. Determine f(h(d)).
4*d**4
Let c(f) = 2*f + 3. Let t be (-1 - 1)/(12/30). Let v(p) = -3*p - 5. Let r(y) = t*c(y) - 3*v(y). Let a(m) = 2*m + 0 + 0. Determine r(a(n)).
-2*n
Let f(b) = 0*b + b**2 + 0*b. Let w(y) = -y**2 - y. Let s(i) = 5*i. Let a(m) = s(m) + 5*w(m). What is a(f(u))?
-5*u**4
Let u(j) = 2*j. Let w be (-50)/(-12) + 3/(-18). Let b(d) = -d + w*d - 2*d. What is b(u(c))?
2*c
Let m(j) = -27*j. Let b(p) = p. Let y(c) = c. Let i(k) = 3*b(k) - 4*y(k). Determine i(m(n)).
27*n
Let v(u) = -30*u**2. Let l(x) = 2*x. What is l(v(m))?
-60*m**2
Let x(r) = -13*r**2. Let k(w) = -3*w + 2. Let f be k(-4). Let q(y) = 0*y + 14 - f - 2*y. Give x(q(b)).
-52*b**2
Let b(a) = -a. Let s(x) = 19*x. Let l(g) = 21*g. Let y(n) = -4*l(n) + 5*s(n). Give b(y(w)).
-11*w
Let i(j) = -7*j**2 + j**2 + 11*j - 14*j. Let n(g) = -g**2 + g. Let r(d) = i(d) + 3*n(d). Let y(q) = 2*q**2. Determine y(r(l)).
162*l**4
Let t(g) = -15*g**2. Let p(z) = 6*z - 16. Let c(l) = l - 3. Let b(r) = -16*c(r) + 3*p(r). Give t(b(d)).
-60*d**2
Suppose 0*r = 2*r. Let h = 2 + r. Let u(t) = 0*t**h - t**2 - t**2. Let y(z) = z. Calculate y(u(s)).
-2*s**2
Let f(t) = -10*t + t + 0*t + 7*t. Let u(o) = -21*o**2. Give f(u(k)).
42*k**2
Let g(d) = -1 + 0 + 1 - 2*d**2. Let x(m) be the second derivative of 0*m**2 + 0 + 1/4*m**4 + 2*m + 0*m**3. What is g(x(z))?
-18*z**4
Let x(w) = 5*w. Let d(f) be the second derivative of -3*f**3/2 - f - 21. Give d(x(k)).
-45*k
Let v(n) = n + 1. Let k be v(1). Let y(z) = -k*z**2 + 3*z**2 + 0*z**2. Let o(g) = 2*g. Let l(i) = -4*i. Let p(s) = -6*l(s) - 13*o(s). Give p(y(x)).
-2*x**2
Let d(s) = -s**2. Let w(n) = -170*n - 1. Calculate d(w(f)).
-28900*f**2 - 340*f - 1
Let t(k) = -3*k + 1. Let h(c) = -c - 1. Let y(p) = 5*p + 6. Let o(r) = -6*h(r) - y(r). Calculate o(t(l)).
-3*l + 1
Let v(m) = 2*m**2. Let u(l) = l + 1. Let d(q) = 6*q + 21. Let i(y) = 7*y + 20. Let h(r) = -5*d