c. Let k(t) = -518*t. Determine w(k(i)).
7252*i
Let k(u) = u. Let d(p) = -224 + 224 - 43*p**2. What is k(d(h))?
-43*h**2
Let q(w) = 3*w**2. Let x(k) = k - 3. Let v(r) = -6*r + 14. Suppose -3*o = -o + y - 11, 0 = -2*o + 3*y - 9. Let u(c) = o*v(c) + 14*x(c). Determine u(q(a)).
-12*a**2
Let b(h) = -2*h. Let a(w) = 547*w. Determine b(a(q)).
-1094*q
Let f(b) = b. Let q(g) = 7054*g. What is q(f(c))?
7054*c
Let b(z) be the first derivative of z**2/2 - 100. Suppose 0 = -2*s + 3*s. Let t(u) = 0 + 4*u + s. What is b(t(h))?
4*h
Let v(p) = 3*p**2 + 1. Let n(y) = -2*y - 15. Give n(v(o)).
-6*o**2 - 17
Let q(f) = 8*f. Let t(n) = 3652*n**2. What is t(q(h))?
233728*h**2
Let q(l) = 4*l**2 + 12*l. Let a(b) = -b. Calculate a(q(d)).
-4*d**2 - 12*d
Let k(c) = -2*c. Let s(w) = -270*w**2. What is k(s(q))?
540*q**2
Let u(j) = -2*j. Let v(f) = 5*f - 2*f + 0*f + 5*f. Determine v(u(l)).
-16*l
Let f(o) = -2*o. Let l(b) = 43*b - 2. Let v(h) = -173*h + 9. Let m(q) = 9*l(q) + 2*v(q). Give m(f(u)).
-82*u
Let j(f) = 8860*f. Let i(t) = t. What is i(j(g))?
8860*g
Let g(m) = -m + 3*m - m. Let b(f) be the second derivative of 2*f**3/3 + 10*f. Give g(b(l)).
4*l
Let k(y) = y + 3. Let x(g) = 4*g + 10. Let v(q) = -10*k(q) + 3*x(q). Let z(c) = 2*c**2 + 11*c. Determine z(v(p)).
8*p**2 + 22*p
Let c(k) = -5*k**2. Suppose 3*y + 0 = 6. Let r(s) = 2*s - s + 0*s - y*s. Calculate r(c(w)).
5*w**2
Let m(f) = 2*f. Suppose -5 = x - 2. Let b = -1 - x. Let u(g) = g**2 - 4*g**b + g**2. Calculate u(m(r)).
-8*r**2
Let t(l) = 4*l. Let s(f) = -f. Let m(h) = -2*s(h) - t(h). Let k(o) = 5*o**2 + 3. Let v(i) = 6*i**2 + 4. Let g(y) = 4*k(y) - 3*v(y). Determine m(g(q)).
-4*q**2
Let v(b) = -5*b**2. Let z(w) = 236*w**2 - 1. Determine z(v(o)).
5900*o**4 - 1
Let u(o) = 13*o**2. Let p(s) = s. Let j(q) = 9*q. Let y(k) = -j(k) + 6*p(k). Determine u(y(z)).
117*z**2
Let s(i) = -16*i. Let h(f) = 347*f**2. Calculate h(s(a)).
88832*a**2
Let t(a) be the third derivative of a**4/24 + 3*a**2. Let w(x) = -22*x. Give t(w(y)).
-22*y
Suppose -5*q + 18 = 4*w, -3*w - q + 12 = 2*q. Let d(h) = 0*h + 2*h + w*h - 2*h. Let x(p) = 3*p**2. Give x(d(a)).
12*a**2
Let k(f) = 3*f**2. Let t be 2/(-12) - 186/(-36). Let d(w) = -12*w - t*w**2 + 12*w. Calculate d(k(r)).
-45*r**4
Let v(z) = -z + 3*z - 3*z. Let t(w) be the third derivative of w**5/10 - 12*w**2. Give v(t(n)).
-6*n**2
Let k(w) = -7*w**2. Let a(p) = 21*p + 16. What is k(a(z))?
-3087*z**2 - 4704*z - 1792
Let d(g) = 2*g. Let o = -1 + 0. Let z = -3 - -9. Let n(p) = p + 1. Let r(v) = 7*v + 6. Let b(u) = o*r(u) + z*n(u). Calculate d(b(f)).
-2*f
Let r(t) be the second derivative of -t**4/6 + 9*t. Let k(y) = -2*y**2. Give k(r(g)).
-8*g**4
Let j(t) = -6*t**2. Let x(i) = 30*i - 14. Calculate x(j(y)).
-180*y**2 - 14
Let m(c) = 210*c**2. Let u(l) = 2*l. What is u(m(i))?
420*i**2
Suppose 0 = -3*i - 5*h - 8, 5*i + 7 = -h + 1. Let a be ((i - -1)*1)/1. Let y(c) = c + 0*c - 2*c + a*c. Let f(b) = -5*b. Calculate f(y(j)).
5*j
Let m(k) = 2*k - 131. Let l(n) = -4*n**2. Give m(l(p)).
-8*p**2 - 131
Let r(a) = -56*a + 1. Let m(u) = -29*u**2. Calculate m(r(h)).
-90944*h**2 + 3248*h - 29
Suppose 5*r + 1 = -j + 28, r = -3*j + 11. Let z(l) = j*l + 5*l - 5*l. Let s(w) = w. What is s(z(y))?
2*y
Let y(x) = 3454*x**2. Let h(f) = 4*f**2. What is h(y(r))?
47720464*r**4
Let i(r) = -16*r. Let y(g) = -11*g. Let n(q) = -5*i(q) + 7*y(q). Let l(h) = -7*h**2. Give n(l(t)).
-21*t**2
Let s = 3 - 1. Let t(z) = 2*z**2 - 5*z**2 + 2*z**s. Let x(f) = 7*f**2. Let g(l) = -10*l**2. Let y(v) = 5*g(v) + 7*x(v). Calculate y(t(q)).
-q**4
Let h(u) = 29*u. Let y(p) = -6*p. Determine h(y(f)).
-174*f
Let q(s) = -21*s. Suppose j - 3 = 1. Let a(n) = 7*n - j*n - n. Give a(q(y)).
-42*y
Let x(l) = 18*l. Let z(a) be the third derivative of -a**4/24 - 13*a**2. Give x(z(p)).
-18*p
Let w(n) = -3*n. Let b(a) = -5*a + 2*a + 3*a - a**2. Determine w(b(l)).
3*l**2
Let d(w) = 17*w**2 - 33*w**2 + 13*w**2. Let o(k) = -28*k. Give o(d(l)).
84*l**2
Let p(b) be the first derivative of 2*b**3/3 - 1. Let t(r) = 10*r + 9. Let n(s) = -s - 1. Let d(v) = 18*n(v) + 2*t(v). What is p(d(w))?
8*w**2
Let m(z) = 2*z. Suppose -5*i + 22 = l, 2 = 5*l - i - 4. Let b(k) = 12 - 12 + 6*k**l - 4*k**2. What is b(m(r))?
8*r**2
Let u(s) be the second derivative of 0*s**2 + 0 + 0*s**3 + 2*s + 5/12*s**4. Let d(k) = k - 1. Let v(r) = r**2 - r + 1. Let m(l) = -d(l) - v(l). Give m(u(n)).
-25*n**4
Suppose -2 - 8 = -5*u. Let l(q) = 5*q - u*q + 0*q. Let m(i) = -3*i. Calculate l(m(p)).
-9*p
Let g(r) be the third derivative of -r**4/12 - 2*r**2. Let b(f) be the second derivative of 0 + 1/12*f**4 - 3*f + 0*f**2 + 0*f**3. Give b(g(q)).
4*q**2
Let p be 5 + 2 + (-5)/1. Let w(g) be the second derivative of -1/2*g**3 - g + 0*g**p + 0. Let i(a) = -2*a**2. Determine i(w(u)).
-18*u**2
Let c(p) = -p. Let x be 0/(-1) - (-8 + 0). Let z(h) = 8 - x - 8*h + 2*h. Give c(z(k)).
6*k
Let s(c) = c + 0*c + c. Let h(a) = a**2. Let o(m) = -2*m**2. Let j(w) = 5*h(w) + 3*o(w). Let y(g) = 2*g**2. Let b(i) = 2*j(i) + 2*y(i). Give b(s(f)).
8*f**2
Let p(i) = -2*i. Let n(w) = -3 - 459*w - 2*w**2 + 459*w + 3*w**2. Give n(p(l)).
4*l**2 - 3
Let y(c) be the first derivative of -c**2/2 + 1. Let a(r) = r**2. Give y(a(u)).
-u**2
Suppose -5*b + 14 = 2*z, 2*b = -2*z - 0 + 8. Let n(p) be the first derivative of 1/3*p**3 + z + 0*p + 0*p**2. Let h(x) = -2*x. Determine n(h(j)).
4*j**2
Let f(v) be the third derivative of -v**4/8 - 8*v**2. Let n(h) = 2*h**2. Give f(n(d)).
-6*d**2
Let c(g) be the second derivative of g**4/6 - 13*g. Let m(f) = -18*f - 2. Give c(m(l)).
648*l**2 + 144*l + 8
Let p(g) = -2*g. Let n(v) = 8*v. Calculate p(n(r)).
-16*r
Let g(t) = -40 + 11*t - 39 + 83. Let n(z) = z. Give n(g(i)).
11*i + 4
Let j(u) = -2*u. Let m(x) = -2*x - 2. Calculate m(j(b)).
4*b - 2
Let y(j) = j. Let r(m) = -4*m. Let s(f) = -r(f) - 3*y(f). Let b(p) = p - 2*p + 0*p. Give s(b(z)).
-z
Let p(r) be the second derivative of r**4/6 + 8*r. Let o(l) = 5*l**2. What is p(o(f))?
50*f**4
Let t(b) = 6*b**2. Let m(s) = -3*s**2 + 5. Let y(v) = -2*v**2 + 3. Let x(w) = 3*m(w) - 5*y(w). Calculate t(x(u)).
6*u**4
Let v(l) = -l. Let u(x) = -1616*x**2. What is v(u(f))?
1616*f**2
Let n(u) = 6*u. Let a(q) = 6*q - 354. Give n(a(p)).
36*p - 2124
Let i(w) = w**2 + 7*w + 2*w - 5*w**2. Let l(c) = -c**2 + 2*c. Let h(u) = 2*i(u) - 9*l(u). Let j(b) = -5*b**2. Determine h(j(m)).
25*m**4
Let d(r) = r**3 + 4*r**2 + r + 1. Let m be d(-2). Let h(j) = -j**2 - 6*j + 6. Let n(z) = 7*z - 7. Let u(t) = m*h(t) + 6*n(t). Let x(p) = -2*p. What is u(x(o))?
-28*o**2
Let n(u) = 57 + 2*u - 57. Let w(b) = 115*b. Determine n(w(h)).
230*h
Let k(y) be the first derivative of -y**4/6 + 2*y + 1. Let q(n) be the first derivative of k(n). Let h(c) = 3*c**2. Calculate h(q(j)).
12*j**4
Let t(x) = -x**2. Let m(g) = -10*g**2 + 3*g**2 - 3*g**2. Give t(m(f)).
-100*f**4
Let h(n) = -6*n**2. Let w(r) be the first derivative of 2*r**3/3 - 1. Calculate h(w(m)).
-24*m**4
Let y(a) be the third derivative of a**7/630 + a**4/6 - 5*a**2. Let s(m) be the second derivative of y(m). Let u(i) = i. What is s(u(v))?
4*v**2
Let l(m) = 42*m**2. Let t(f) = 2*f**2 - 12*f**2 + 8*f**2 + 4*f**2. What is t(l(o))?
3528*o**4
Let v(q) = -2*q. Let y(r) = -r. Let i(t) = -33*t. Let w(o) = 6*i(o) - 187*y(o). Calculate w(v(b)).
22*b
Let w(q) = -68*q**2. Let c(v) = 8*v. What is w(c(u))?
-4352*u**2
Let p(h) = 5*h - 36. Let s(o) = -3*o. Calculate s(p(q)).
-15*q + 108
Let c(j) = -6082*j**2. Let l(x) = -2*x**2. Give c(l(k)).
-24328*k**4
Let t(y) = 3*y. Suppose 0*u = u - 2*k - 10, -5*k = 20. Let w(v) = -3*v**2 - u*v**2 + v**2. Determine t(w(z)).
-12*z**2
Let p(d) = -3*d**2 + 2. Let v(c) = -16*c**2 + 11. Let y(t) = 33*p(t) - 6*v(t). Let r(f) be the third derivative of -f**5/20 - 4*f**2. What is r(y(l))?
-27*l**4
Let o(n) = 5*n**2. Let a(c) be the second derivative of c**5/40 - c**3/2 - 5*c. Let d(p) be the second derivative of a(p). Calculate d(o(k)).
15*k**2
Let m(s) = 7*s. Let c(v) = 1423*v. What is m(c(a))?
9961*a
Let b(d) = 3*d**2. Let h(c) = -c**2 + 35. Give h(b(y)).
-9*y**4 + 35
Let h(g) = 108*g**2. Let j(f) = 17*f**2. Give h(j(k)).
31212*k**4
Let q(t) = -3*t. Let s(r) be the third derivative of 0*r**3 + 0*r + 0 + 3*r**2 + 1/24*r**4. Calculate q(s(j)).
-3*j
Let r(v) = -v**2. Let g(i) = i**2 + 0*i**2 + 4*i**2 - i**2. Determine r(g(j)).