(i(g)).
8*g
Suppose 0 = -4*k - 2*p + 2, 0 = -4*p - 20. Let v(z) = k*z - 2*z - 2*z. Let u(c) = -3*c**2. Give u(v(x)).
-3*x**2
Let x(q) = -16*q. Let o(m) = 4*m**2 + 504*m - 504*m. Calculate x(o(w)).
-64*w**2
Let i(m) be the second derivative of 0 + 1/6*m**3 + 0*m**2 - 2*m. Let a(s) = -3*s**2. What is i(a(k))?
-3*k**2
Let c(a) = a**2 - a. Let n be c(1). Let x(i) = n*i - i - 4*i. Let u(l) = 2*l**2. Calculate x(u(p)).
-10*p**2
Suppose -5*u + 24 = -0*t + 3*t, 2*t = 2*u. Let l(x) = -3 + u - 2*x. Let f(m) = -5*m**2. Give f(l(i)).
-20*i**2
Let l(x) = 4*x + 2. Let n(o) = -16*o**2. What is n(l(j))?
-256*j**2 - 256*j - 64
Let m(z) be the third derivative of -7*z**4/6 + 5*z**2. Let n(w) = w**2. Calculate n(m(r)).
784*r**2
Let q(t) = t + 2657. Let b(v) = 3*v**2. What is b(q(z))?
3*z**2 + 15942*z + 21178947
Let d(r) = -5*r. Let p(x) be the second derivative of -x**4/6 - 8*x. Determine d(p(g)).
10*g**2
Let h(p) = -6*p**2 - 8*p + 4. Let f(g) = -g**2 - 2*g + 1. Let r(b) = 4*f(b) - h(b). Let x(v) = 19*v. What is r(x(s))?
722*s**2
Let o(m) = -m**2. Let t(b) = -353*b**2 + 2*b. What is t(o(y))?
-353*y**4 - 2*y**2
Let y(g) = 3*g**2 - 231. Let b(p) = 3*p**2. What is b(y(d))?
27*d**4 - 4158*d**2 + 160083
Let j(w) = -2*w + 2*w + 13*w. Let a(t) = -t. Calculate a(j(m)).
-13*m
Let j(w) = -w**2 - 6*w - 3. Let y be j(-5). Let d(s) = -3*s**2 + 2*s**y - 2*s**2. Let h(m) = 3*m**2. Give d(h(l)).
-27*l**4
Let r(v) be the first derivative of 2*v**3/3 + 1. Let m(h) = 2*h. What is r(m(a))?
8*a**2
Let u(d) = 23*d. Let f(r) = 3*r**2 - 11. Let b(s) = s**2 - 4. Let w(v) = 11*b(v) - 4*f(v). Determine w(u(o)).
-529*o**2
Let g(k) be the second derivative of 0*k**2 + 0*k**3 - 1/12*k**4 - 4*k + 0. Let n(c) be the first derivative of c**3 - 1. Determine g(n(p)).
-9*p**4
Let k(l) = -l**2. Let t(m) = 31*m**2 - 5*m. Let n(i) = 78*i**2 - 12*i. Let y(d) = -5*n(d) + 12*t(d). Calculate k(y(c)).
-324*c**4
Let w(z) = -28*z - 4*z - 93 + 93. Let k(h) = -h. Determine k(w(y)).
32*y
Let q(i) = -2*i. Let z(s) = 6*s + 5. Let y(v) = 3*v - 1 - v + v - 4*v. Let j(b) = -4*y(b) - z(b). Let a(p) = 1. Let r(m) = -a(m) - j(m). What is q(r(d))?
-4*d
Let z(j) = -2*j**2. Let v(t) = 3*t**2 - 6*t - 6. Let q be (4 - (-1 + -1))/1. Let k(b) = -4*b**2 + 5*b + 5. Let i(y) = q*k(y) + 5*v(y). Calculate z(i(u)).
-162*u**4
Let d(s) = -s**2 + 11*s - 4. Let x be d(10). Let q(b) = -6 + x - b. Let r(z) = 4*z. Let p(t) = 5*t. Let a(m) = 3*p(m) - 4*r(m). What is a(q(u))?
u
Let x(d) be the third derivative of -d**4/24 - 5*d**2. Suppose -6*g - p + 12 = -2*g, 2*g = 4*p - 12. Let f(a) = -g*a - 4*a + 4*a. Calculate f(x(r)).
2*r
Let f(i) = 4*i. Let g(j) = -22*j**2. Determine f(g(z)).
-88*z**2
Let z(s) = -2*s**2 - 2*s**2 + 0*s**2 + 3*s**2. Let h(l) = 2*l**2. Give h(z(f)).
2*f**4
Let n(r) = 2*r. Let k(d) = -4*d - 4. Let g = -6 + 9. Let l(v) = 4*v + 3. Let t(x) = g*k(x) + 4*l(x). Calculate t(n(i)).
8*i
Let m(s) = -3*s. Let f(v) = 231*v - 2. Calculate m(f(d)).
-693*d + 6
Let p(w) = -6*w**2 + 12. Let q(u) = u. Give q(p(v)).
-6*v**2 + 12
Let a(w) = -2*w. Let m(c) = 1032*c. Determine m(a(g)).
-2064*g
Let l(x) = 2*x**2. Let g = 9 + -6. Let f(m) be the second derivative of m - 1/12*m**4 + 0*m**g + 0*m**2 + 0. Determine f(l(v)).
-4*v**4
Let u(m) = 66*m**2. Let c(g) = -59*g. Give c(u(p)).
-3894*p**2
Let w(z) = 7 - 3 - 3*z**2 - 2 + 0. Let c(r) = 2*r. Give w(c(j)).
-12*j**2 + 2
Let b(x) = 4*x. Let p(g) = -203*g**2 - g. Give p(b(o)).
-3248*o**2 - 4*o
Let h(f) = -298*f. Let o(l) = -2*l**2. What is h(o(j))?
596*j**2
Let u(n) = 7*n. Let r(p) = -726*p**2. Determine u(r(f)).
-5082*f**2
Let h(p) be the third derivative of -7*p**4/8 + 4*p**2. Let a(b) = 2*b. Calculate h(a(s)).
-42*s
Let u(k) = 13*k**2 - 3*k + 3. Let s(d) = 170*d**2 - 40*d + 40. Let v(y) = 3*s(y) - 40*u(y). Let f(c) = -c**2. Calculate v(f(t)).
-10*t**4
Let j(a) = -7*a. Let i(z) = 11*z**2 + 9*z**2 - 24*z**2. What is i(j(m))?
-196*m**2
Let m(p) be the second derivative of p**3/2 + p. Let h(d) = 24*d**2 + 40. Let n(g) = -g**2 - 2. Let q(s) = -h(s) - 20*n(s). What is q(m(v))?
-36*v**2
Let l(n) = n. Let s be 6*1*(-32)/48 - -4. Let h(p) be the first derivative of 1/3*p**3 + 1 + s*p**2 + 0*p. Determine h(l(d)).
d**2
Let l(z) = z + 6. Suppose -3*f = -6*f - 18. Let i(o) = o + 5. Let w(s) = f*i(s) + 5*l(s). Let g(k) = 4*k. Give g(w(h)).
-4*h
Let c(v) = 6*v**2 + 4. Let u(n) = 3*n**2. What is u(c(r))?
108*r**4 + 144*r**2 + 48
Let f(o) = 2*o. Let n(l) = 2*l**2 - 9*l. Calculate n(f(u)).
8*u**2 - 18*u
Let d(g) = 2*g**2 + 4*g - 4. Let v(m) = 4*m**2 + 9*m - 9. Let b(r) = -9*d(r) + 4*v(r). Let q(l) = -2*l**2. Give q(b(c)).
-8*c**4
Let o(q) = -7*q. Let h(a) = 6*a. Let d(f) = 6*h(f) + 5*o(f). Let c(w) = 21*w - 8*w - 12*w. Give c(d(u)).
u
Let t(b) = 2*b - 2. Let c be t(2). Let d(v) = -v**2 + v**c + v**2. Let y(g) be the second derivative of -g**4/4 + 88*g. Determine d(y(x)).
9*x**4
Let g(v) = -13*v**2. Let l be (-10 - -10)/(1 - -1). Let r(j) = j**2 + l + 0 - 2*j**2. Calculate g(r(u)).
-13*u**4
Let u(t) be the first derivative of t**6/180 + t**3/3 + 3. Let s(x) be the third derivative of u(x). Let z(h) = -4*h. What is s(z(c))?
32*c**2
Let m(w) = 2*w**2 - 273. Let p(z) = -z**2. Give m(p(f)).
2*f**4 - 273
Let u(i) = -i**2 + 7*i. Let l(v) = 2*v**2. Calculate l(u(o)).
2*o**4 - 28*o**3 + 98*o**2
Suppose 0*q - 4*q + 52 = 0. Let k(a) = -2*a**2 - 13*a + q*a. Let m(p) = 2*p**2. What is m(k(h))?
8*h**4
Let p(c) = -c. Let t(h) = -2204*h. Calculate p(t(d)).
2204*d
Let a(q) = -2*q. Let k(d) = 605*d + 9. What is k(a(c))?
-1210*c + 9
Let f(x) = x. Let i(q) = 66*q. What is f(i(b))?
66*b
Let c = 47 - 47. Let l(m) be the second derivative of 0*m**2 + c + 1/6*m**3 + m. Let x(o) = -o. What is l(x(t))?
-t
Let w(t) = t**2 - 10*t + 11. Let o be w(9). Let i(l) = 3*l**2 - 6*l**o - 2*l**2 + 4*l**2. Let d(f) = 3*f. Give i(d(a)).
-9*a**2
Let b(f) = -3*f**2. Let i(z) = 32*z**2. Give b(i(t)).
-3072*t**4
Let t(p) = 2*p. Let g(x) = -8*x - 10. Let f(r) = -r + 1. Let d(z) = -10*f(z) - g(z). Determine t(d(i)).
36*i
Let n(w) = -7*w**2 + 3*w. Let d(s) = 8*s**2. Determine n(d(f)).
-448*f**4 + 24*f**2
Let r(j) = -5*j. Let z be 1/2*2 + 0. Let m(x) = -z + 2*x + 2 - 1. What is r(m(y))?
-10*y
Let v(h) = -2*h. Suppose 2*y = -2*o, 2*o + 9 = y - 0*y. Let b(k) be the second derivative of 0*k**2 - 1/3*k**y + 0 + k. Determine b(v(q)).
4*q
Let o(n) = 6*n. Let y(k) be the second derivative of k**3/3 - 2*k. What is y(o(x))?
12*x
Let f(m) = 10*m - 7. Let l(j) = -5*j + 4. Let t be (-9)/6*-4 - -1. Let y(g) = t*l(g) + 4*f(g). Let s(q) = -2*q. What is s(y(a))?
-10*a
Let i(g) = 46*g. Let k(o) = -36*o. Determine k(i(s)).
-1656*s
Let r(z) = -4*z + 0*z + 2*z**2 + 4*z. Let i(q) = -12*q. What is r(i(w))?
288*w**2
Let r(s) = 2*s - 31. Let i(h) = 6*h. Determine i(r(f)).
12*f - 186
Suppose -o - 1 - 4 = -3*l, -3*l - 2*o + 17 = 0. Let r(q) = 0*q + 0*q - l*q + 2*q. Let i(w) = 4*w**2. Give r(i(d)).
-4*d**2
Let p(c) = 3*c**2. Let s(n) = -97*n + 102*n + 3 - 3. What is s(p(b))?
15*b**2
Let u(d) = 2*d. Suppose 3*h = -v + 8, -2*h = -5 + 3. Let j(n) = -n + v*n - 2*n. Determine u(j(f)).
4*f
Let p(f) = -3*f**2. Let a(b) = -b**2 - 12*b. What is p(a(x))?
-3*x**4 - 72*x**3 - 432*x**2
Let a(n) be the second derivative of -n**7/1260 + n**4/12 + 2*n. Let b(y) be the third derivative of a(y). Let h(z) = -3*z**2. Calculate b(h(u)).
-18*u**4
Let x(f) = 3*f. Let v(t) = 6*t**2. Suppose -4*z = -z + 9. Let d(n) = 3*n**2. Let c(g) = z*v(g) + 7*d(g). Calculate c(x(w)).
27*w**2
Let x(h) = 8*h**2 - 3. Let j(n) = 15*n**2 - 3. Calculate x(j(m)).
1800*m**4 - 720*m**2 + 69
Let j(h) = 8*h**2 - 4*h. Let z(k) = 7*k**2 - 3*k. Let f(u) = 3*j(u) - 4*z(u). Let g(v) = -v. Calculate f(g(s)).
-4*s**2
Let k(a) = 3*a. Suppose 5*d + 2 = 2*d - 4*j, 4*d - 18 = 5*j. Let f(p) = 0*p**2 + p**d - 3*p**2. Determine k(f(q)).
-6*q**2
Let d(a) = -2*a**2. Let o = -6 - -4. Let q = o - -5. Let h(j) = 0 + q + j - 3. What is h(d(m))?
-2*m**2
Let y(c) = 0*c + 3*c - 16*c + 8*c. Let d(q) = -q**2. Determine y(d(s)).
5*s**2
Let j(l) = 2*l. Let o(v) be the second derivative of 0 + 0*v**2 + 5/6*v**3 - 2*v. Give j(o(r)).
10*r
Let s(w) = 14*w - 37*w + 15*w. Let x(u) = 4*u. Determine x(s(y)).
-32*y
Let a(t) = 100*t. Let y(j) = -10*j**2. Determine a(y(m)).
-1000*m**2
Suppose 2*n - 3*n = -3. Let b(u) = 2*u - 3*u + n*u. Let s(v) = v**2. Determine s(b