 7. Let i(j) be the second derivative of -j**3/3 + j**2 - 2*j. Let r(c) = -21*i(c) - 6*t(c). Let k(w) = w. What is k(r(s))?
6*s
Let m(u) = -u + 3948*u**2 - 3949*u**2 + u. Let g(z) = 47*z. Determine g(m(n)).
-47*n**2
Let c(r) = -r**3 + 5*r**2 - 4*r + 4. Let n be c(4). Let k(b) = -b**2 - 2*b**2 + n*b**2. Let f(w) = 3*w**2. What is k(f(a))?
9*a**4
Let o(y) = y**2. Let k(r) be the second derivative of -29*r**4/12 - 20*r. Determine k(o(u)).
-29*u**4
Let z(y) = 74*y. Let j(i) be the first derivative of -2*i**3/3 + 30. Calculate z(j(a)).
-148*a**2
Let p(r) = -15*r + 29*r + 24*r. Let s(i) = -2*i. Give s(p(x)).
-76*x
Let f(g) = -45*g - 1. Let q(p) = 2*p**2 - p. What is q(f(d))?
4050*d**2 + 225*d + 3
Let u(z) be the first derivative of z**4/12 + 3*z - 3. Let c(k) be the first derivative of u(k). Let v(m) = 11*m**2. What is c(v(h))?
121*h**4
Let h(d) = 1 + 0*d**2 - 1 - 3*d**2. Let p(k) = -5*k**2. Give h(p(a)).
-75*a**4
Let y(k) be the second derivative of -k**3/3 - k. Let f(r) be the third derivative of r**5/60 - 51*r**2 - r. What is y(f(q))?
-2*q**2
Let u(v) = -2*v**2 + 28*v. Let z(t) = 2*t**2 + 5*t. Let f(h) = -6*h**2 - 16*h. Let l(m) = -5*f(m) - 16*z(m). What is l(u(i))?
-8*i**4 + 224*i**3 - 1568*i**2
Let a(g) = -g**2 + 1. Let z(l) = 12*l**2 - 9. Let p(i) = -36*a(i) - 4*z(i). Let v(y) = -2*y**2. What is v(p(u))?
-288*u**4
Let q(v) = 6*v. Let z(w) = -251*w**2. Determine z(q(t)).
-9036*t**2
Let k(f) = 3*f. Let s(n) = -4*n**2 - 17. What is s(k(d))?
-36*d**2 - 17
Let g(o) = -o. Let i(r) = -1. Suppose -2*a + 4*h + 16 = -6*a, 0 = -3*a + 3*h + 6. Let l(v) = -3*v + 3 + 1 - 6. Let q(j) = a*l(j) + 2*i(j). What is g(q(y))?
-3*y
Let s(x) = -x. Suppose 8 = -2*i - 4*g, -3*g + 6 = -5*g. Let u be (i - 1) + 3 + -2. Let a(d) = -d + 3*d**u + d. What is a(s(v))?
3*v**2
Let z(d) = d. Let i(m) = -2442*m**2. What is z(i(n))?
-2442*n**2
Let g(w) = -109*w**2. Let b(h) = -339*h. What is g(b(m))?
-12526389*m**2
Let j(p) = -2*p**2 + 14*p. Let b(n) = 2*n. Let q(u) = -14*b(u) + 2*j(u). Let x(c) be the third derivative of -c**4/8 - 12*c**2. What is x(q(m))?
12*m**2
Let b(p) = 5*p. Let h(f) be the second derivative of -f**5/60 - f**2 - f. Let j(t) be the first derivative of h(t). Calculate b(j(l)).
-5*l**2
Let h(a) = -2*a + 4*a + 8*a**2 + 21*a**2 - a. Let k(f) = f. Determine k(h(q)).
29*q**2 + q
Let d(y) = -41 - 2*y**2 + 41. Let h(a) = -1 - 2*a**2 + 1. What is h(d(n))?
-8*n**4
Let u(a) = 14*a**2. Let w(i) = -61*i. Calculate w(u(q)).
-854*q**2
Suppose -54 = -5*x - 2*j, j = -10*x + 5*x + 52. Let y(d) = 10 - x + 5*d. Let a(z) = -z**2. Determine a(y(v)).
-25*v**2
Let z(y) = y. Let m(a) = a**3 - 5*a**2 - a + 2. Let v be m(5). Let j(p) = p + 5. Let u be j(v). Let d(w) = -2*w + u*w + w. What is z(d(k))?
k
Let d(v) = 9 - v + 8 - 17. Let f be 0*(-1 + 2/4). Let t(s) = 0 - 2*s**2 + f. Calculate d(t(q)).
2*q**2
Let a(s) = -7*s**2. Let y(t) = 36*t**2. Let g(k) = -28*a(k) - 6*y(k). Let l(r) = -10 + 5 + 5 + r. What is g(l(f))?
-20*f**2
Let z(n) = 6*n**2. Let x(u) = 12*u. What is z(x(h))?
864*h**2
Let j(c) = -8*c**2 + 8. Let k(g) = -g**2 - 1. Let d(r) = -j(r) - 8*k(r). Let a(w) = 3*w**2. Determine a(d(t)).
768*t**4
Let q(k) = -4*k**2. Let m(f) = 22*f**2. Let g(s) = -4*m(s) - 20*q(s). Let n(x) = x**2. Calculate g(n(z)).
-8*z**4
Let d(l) = -773*l**2 - 3. Let p(i) = -2*i. Give p(d(z)).
1546*z**2 + 6
Let w(l) = 2*l**2. Let i(s) = -17*s**2 + 9*s - 9. Let d(h) = 9*h**2 - 4*h + 4. Let f(x) = 9*d(x) + 4*i(x). Give w(f(b)).
338*b**4
Let k(f) be the first derivative of f**3/3 - 5. Let c(v) = 60*v. Give c(k(t)).
60*t**2
Let s(d) = 3*d**2. Let h(b) be the second derivative of b**6/90 + b**3/6 - 6*b. Let o(j) be the second derivative of h(j). Give o(s(y)).
36*y**4
Let f(w) = -w - 1. Let g(c) = -c - 2. Let d(t) = -t**2 - 5*t - 1. Let u be d(-5). Let i(q) = u*g(q) + 2*f(q). Let b(r) = -r**2. What is i(b(s))?
s**2
Let m(h) = -2*h**2 - 8*h - 7*h + 15*h. Let n(a) = -a**2. Determine m(n(f)).
-2*f**4
Let m(b) = b**2. Let p(w) = w - 8*w + 0*w - 6*w. What is m(p(h))?
169*h**2
Let p(k) be the second derivative of k**3/3 - k. Let l(w) = 5*w. What is p(l(i))?
10*i
Let k(p) be the third derivative of -p**5/20 - 4*p**2. Let c(v) be the third derivative of v**4/8 - 17*v**2. Determine c(k(q)).
-9*q**2
Let b(w) = -25*w**2. Let x(a) = 96*a**2. Determine x(b(q)).
60000*q**4
Let k(w) = -w**2. Let h(t) = 32*t**2 + 10*t + 10. Give h(k(z)).
32*z**4 - 10*z**2 + 10
Let v(f) = f**2 - f. Let a(h) = -h**2 + 2*h. Let q(r) = -a(r) - 2*v(r). Let s(z) = 55*z**2. Calculate s(q(t)).
55*t**4
Let j = -2 + 5. Let a(n) = -4*n**2 + 6*n**2 - j*n**2. Let h(g) be the second derivative of -g**3/2 + g. What is h(a(c))?
3*c**2
Let j(q) = 5*q - 2. Let p(l) = 25*l - 11. Let r(x) = 11*j(x) - 2*p(x). Let d(u) be the second derivative of 0 + 1/6*u**3 - 2*u + 0*u**2. Calculate d(r(c)).
5*c
Let s(u) = -17*u. Let a(b) = 289*b**2 + 2. Determine s(a(i)).
-4913*i**2 - 34
Let j(w) = -w. Let p(i) = 43*i**2 - 126. Calculate p(j(z)).
43*z**2 - 126
Let t(i) = 2*i. Let o(x) = 4 - 16*x + 2 - 6. Give t(o(r)).
-32*r
Let t(d) = -4*d. Let k(s) = -s. Let b(i) = -3*i. Let f(w) = 3*b(w) - 15*k(w). Calculate f(t(m)).
-24*m
Let m(i) = 31*i. Let q(u) = 0 - 3*u + 0 + 4*u. What is q(m(k))?
31*k
Let o(i) be the second derivative of i**5/120 + 7*i**3/6 - 8*i. Let j(l) be the second derivative of o(l). Let r(g) = -g**2. Determine r(j(f)).
-f**2
Let m(n) = 4*n**2. Let d(p) = 15*p. Give m(d(y)).
900*y**2
Let b(d) = 3*d**2. Let s(o) = -o**2 - 11*o - 4. Let i be s(-10). Suppose -3*l + i = -0. Let x(c) = 11 - 2*c**l - 11. What is x(b(h))?
-18*h**4
Let p(w) = -18*w**2. Let u(t) = -6*t - 10. What is p(u(s))?
-648*s**2 - 2160*s - 1800
Let g(t) = 3*t - 1. Let c be g(1). Let p(w) = -w + w + 9*w + c*w. Let a(r) = -r**2. Calculate a(p(v)).
-121*v**2
Let l(o) = 13*o**2. Let u(z) = 32*z**2. Determine l(u(v)).
13312*v**4
Let q(x) = -2*x + 5. Let v(t) = -t + 2. Let k(d) = -2*q(d) + 5*v(d). Let r(s) be the first derivative of s**2/2 - 1. Determine k(r(n)).
-n
Let d(h) = -2*h. Let a(g) = -4*g**2 - 132*g. Calculate a(d(l)).
-16*l**2 + 264*l
Let g(k) = k**2 + 4*k + 2. Let m be g(-4). Suppose -4*d + m = -6. Let j(u) = -5*u - u**d + 5*u. Let f(h) = h**2. What is j(f(c))?
-c**4
Let i(u) = 2*u**2 + 2*u**2 - 12*u**2 + 10*u**2. Let c(b) be the second derivative of -b**3 + 3*b. Give c(i(x)).
-12*x**2
Let a(j) = -2*j**2. Suppose 4*t = 1 + 31. Let h(b) = -3*b + t - 8. What is h(a(z))?
6*z**2
Let w be 2 + (0/1)/(-1). Let x be 2*2/w - -1. Let r(m) = x*m**2 - 4*m**2 - m**2. Let g(h) = -h. Give r(g(t)).
-2*t**2
Let k(m) = -3*m - 22*m + 4*m. Let h(u) = -2*u**2. Calculate h(k(z)).
-882*z**2
Let b(c) = 5163*c**2. Let s(d) = d**2. Give s(b(p)).
26656569*p**4
Let w(n) be the third derivative of n**4/12 + 3*n**2. Let t(p) = -5*p**2. Let l = -9 - -7. Let y(d) = 2*d**2. Let g(f) = l*t(f) - 6*y(f). Calculate w(g(a)).
-4*a**2
Let b(x) = 3*x**2 + 5. Let y(q) = -2*q**2 - 3. Let p(o) = -4*b(o) - 7*y(o). Let m(s) be the first derivative of p(s). Let g(u) = u. Calculate g(m(j)).
4*j
Let n(j) = -37*j**2. Let t(v) = -v**2 + v. Let z(c) = -4*c**2 + 6*c. Let l(i) = -6*t(i) + z(i). What is l(n(h))?
2738*h**4
Let j(k) be the first derivative of -2*k**2 + 1 + 1 + 3*k**2 - 5. Let t(z) = -2*z**2. Calculate j(t(c)).
-4*c**2
Let y(g) = g**2 - g - 1. Let f(i) = -3*i - 3. Let v(r) = f(r) - 3*y(r). Let a(n) = -367 - n + 367. Calculate v(a(c)).
-3*c**2
Let v(q) = -2*q. Let f = 0 + 3. Suppose -2 - 4 = -f*b. Let i(m) = -17*m - 2*m**b + 17*m. Calculate v(i(d)).
4*d**2
Let v(g) = 4*g. Let m(o) = -121*o + 19. Determine m(v(x)).
-484*x + 19
Let j(k) = -k**2. Let o(x) = 665*x + 4. Determine o(j(g)).
-665*g**2 + 4
Let h(l) be the third derivative of l**4/24 + 6*l**2. Let u(n) = -2*n**2. What is u(h(m))?
-2*m**2
Let i(j) = 4*j**2. Let m(f) be the second derivative of f**3/6 + 8*f. What is m(i(y))?
4*y**2
Let q(o) = -3*o. Let j(y) = -2*y. Let p(u) = -10*j(u) + 6*q(u). Let h(z) = 5*z**2. What is h(p(w))?
20*w**2
Let l(t) = 9*t. Let h(x) = -22*x. Let w(a) = 5*h(a) + 12*l(a). Let b(d) = d - 2*d - d. Determine b(w(m)).
4*m
Let i(t) = 8*t**2. Let s(m) = 2132*m**2. Calculate i(s(k)).
36363392*k**4
Let h(q) = -80*q. Let v(y) = 58*y**2. What is v(h(w))?
371200*w**2
Let t(q) = 2*q**2. Let j(v) = -5*v - 2. Let r(f) = -6*f - 3. Let a(k) = -9*j(k) + 6*r(k). What is 