- 1. What is l(c(k))?
4*k**4
Let u(q) = -2*q**2. Let l(b) = -7502*b - 3. Determine u(l(k)).
-112560008*k**2 - 90024*k - 18
Let i(y) = 2*y. Let o(g) = -1024*g. Give o(i(w)).
-2048*w
Let q(h) = -h**2. Let i(b) be the second derivative of -b + 0 - 1/6*b**3 + 0*b**2. Determine i(q(a)).
a**2
Let y(h) = 12*h**2. Let t(g) = -329*g**2. Determine y(t(s)).
1298892*s**4
Let d(z) = -618*z. Let s(y) = 8*y**2. What is s(d(w))?
3055392*w**2
Let j(u) = -u - 1. Let p(q) = 129*q. Give p(j(h)).
-129*h - 129
Let p(u) = 21*u. Let b(z) = -2*z**2 + 3. Determine b(p(i)).
-882*i**2 + 3
Let h(z) = 12*z - 30*z - 23*z. Let l(r) = -3*r**2. Calculate l(h(u)).
-5043*u**2
Let o(s) = 8*s + 9*s - 18*s. Let c(r) = 3*r. Calculate o(c(x)).
-3*x
Let m(o) be the first derivative of -o**2 - 21. Let c(n) = -2*n. What is m(c(y))?
4*y
Let u(i) = i**2 - 6*i + 3. Let b be u(5). Let r(o) = -7*o. Let z(x) = 3*x. Let n(p) = b*r(p) - 5*z(p). Let j(v) = -3*v + 15*v - 3*v. Calculate n(j(g)).
-9*g
Let t(h) = 2084 - 2084 - 2*h**2. Let m be (0*(-2)/4)/(-1). Let b(q) = -q**2 + m*q**2 - 4*q**2. What is t(b(o))?
-50*o**4
Let z(w) = -2*w. Suppose -4*f = -8*f + 84. Let o(q) = 21 - f + 5*q. What is z(o(r))?
-10*r
Let b(t) = 93*t**2. Let o(y) = -13*y**2. Give b(o(s)).
15717*s**4
Let v(p) = p. Let s(j) = -183*j. Determine s(v(h)).
-183*h
Let w(b) = -b**2. Let o = 5/21 - -3/7. Let h(a) be the second derivative of 0*a**2 - o*a**3 + 0 - 3*a. Determine w(h(m)).
-16*m**2
Let k(u) be the third derivative of -u**4/24 + 34*u**2. Suppose -2*r - 2*w = -0*r + 2, -w = 3*r + 1. Let q(v) = -2*v + r*v + 4*v. Calculate q(k(y)).
-2*y
Let f(i) be the first derivative of 4*i**3/3 + 1. Let l(q) = -4*q + 6. Let v(h) = 7*h - 11. Let m(p) = -11*l(p) - 6*v(p). What is m(f(r))?
8*r**2
Let b(m) = -22*m + 16. Let x(h) = -7*h + 5. Let r(v) = 5*b(v) - 16*x(v). Suppose 0 = 3*a - 7*a + 68. Let c(p) = -a*p + 6*p + 9*p. Give r(c(k)).
-4*k
Let m(j) be the third derivative of 0*j**3 - 1/8*j**4 + 0*j - 4*j**2 + 0. Let c(n) = n. Give m(c(s)).
-3*s
Let o(c) = c. Let g(y) = 10 - 36 - 7*y + 6*y. Determine o(g(f)).
-f - 26
Let j(f) = 4 + f**2 + 0 - 4. Let x(k) = 4*k. Let w(i) = -i. Let t(n) = -11*w(n) - 4*x(n). Calculate j(t(m)).
25*m**2
Let w be ((-2)/(-6))/1*6. Let q(z) = w - 3*z**2 + 5*z**2 - 2. Let f(d) = -1 + 2*d**2 + 1. Give q(f(p)).
8*p**4
Let v = -30 - -32. Let x(i) = -v*i - 2*i - 3 + 3. Let m(s) = -3 + 3 - 2*s. Determine m(x(b)).
8*b
Let i(s) = -8*s - 5. Let w(u) = 7*u. Determine w(i(p)).
-56*p - 35
Let t(a) be the first derivative of -2*a**3/3 - 1. Let g(c) be the first derivative of -2 + 0*c + 3/2*c**2. Determine g(t(i)).
-6*i**2
Let b(z) = -3*z + 11. Let d(n) = 2*n**2. Give b(d(c)).
-6*c**2 + 11
Let y(z) = z - 391. Let p(l) = -2*l. Calculate p(y(r)).
-2*r + 782
Let t(j) = 4*j - 8*j - 4*j + j. Let p(r) = r. Let k(f) = f**2 - 5*f. Let z(o) = -k(o) - 5*p(o). Calculate z(t(b)).
-49*b**2
Let a(z) = 32*z. Let n(q) = 2*q. Let g(l) = -l**2 + 2*l. Let j(i) = 2*g(i) - 2*n(i). What is a(j(f))?
-64*f**2
Let f(w) = -w - 2. Let b(c) = c + 3. Let a(y) = 2*b(y) + 3*f(y). Let l(r) = -13*r. Give a(l(k)).
13*k
Let h(f) = -24*f**2. Let b(p) = 424 - 424 - 4*p**2 + 6*p**2. Give b(h(m)).
1152*m**4
Let k(h) = 29*h - 13. Let p(w) = -7*w + 3. Let r(t) = -6*k(t) - 26*p(t). Let i(b) = -4 + 2*b + 4. Calculate r(i(s)).
16*s
Let t(c) = -c. Let h(f) = -2091*f**2 - 3*f. What is h(t(m))?
-2091*m**2 + 3*m
Let k(n) be the first derivative of -n**3/3 - 149. Let d(g) be the second derivative of -g**4/12 + g. Calculate k(d(o)).
-o**4
Let y be 1/2*0/(-1). Let o(t) = y*t - 3*t + t. Let r(q) = -q**2 + 4*q + 4. Let p(m) = m**2 - 3*m - 3. Let l(j) = -4*p(j) - 3*r(j). Calculate l(o(z)).
-4*z**2
Let x(d) be the first derivative of -2*d**2 - 1. Let m(g) be the second derivative of g**3/3 + 17*g. Calculate m(x(c)).
-8*c
Let g(y) = 2*y**2 - 8*y - 8. Let f(w) = -2*w**2 + 6*w + 6. Let m(n) = 4*f(n) + 3*g(n). Let r(v) = v + 2*v - 2*v. Give m(r(o)).
-2*o**2
Let v(a) = -20*a - 11. Let b(s) = -4*s - 2. Let c(o) = -11*b(o) + 2*v(o). Let g(l) = -5*l. What is g(c(u))?
-20*u
Let q(o) = -4*o. Let j(f) = 668*f. Calculate j(q(l)).
-2672*l
Let i(x) be the second derivative of x**3 - 7*x. Let n(w) = w**3 + 3*w**2 + 2. Let z be n(-3). Let p(g) = g**z - 6 + 6. Determine p(i(s)).
36*s**2
Let b = 3 - 1. Let h(j) be the first derivative of 0*j**2 - 1 - j**b + 0*j**2 - 1. Let p(m) = 4*m. Calculate h(p(y)).
-8*y
Let b(r) = -r**2 - 2*r. Let d(m) = m. Let n(f) = b(f) + 2*d(f). Let u(g) = 2*g**2. Calculate u(n(s)).
2*s**4
Let k(a) = a. Let z(u) = -u. Let v(j) be the first derivative of 5*j**2/2 + 3. Let f be ((-13)/(-2))/((-2)/(-8)). Let c(d) = f*z(d) + 6*v(d). Give k(c(s)).
4*s
Let m(r) = -11*r**2. Let o(v) be the third derivative of v**5/30 - 11*v**2. Determine o(m(x)).
242*x**4
Let f(a) = -2*a**2. Let c(z) = 929*z. What is f(c(u))?
-1726082*u**2
Let r be (11/3 + -1)*-3. Let g(c) = c**2 + 7*c - 1. Let j be g(r). Let o(x) = 2 - j*x + 3 - 5. Let a(n) = -2*n. Calculate o(a(b)).
14*b
Let n(a) = 28*a**2 + 968*a - 968*a. Let s(o) = 2*o**2. Give s(n(i)).
1568*i**4
Let n(v) = 385*v. Let c(o) = 19*o**2. Determine n(c(y)).
7315*y**2
Let c(o) = 9*o**2 + 48. Let z(s) = 6*s**2. Give z(c(v)).
486*v**4 + 5184*v**2 + 13824
Let i(k) = 8*k**2. Let y(p) = 7*p**2 - 4. Calculate i(y(u)).
392*u**4 - 448*u**2 + 128
Let p(j) = 115*j + j**2 - 115*j. Let o(n) = 4*n**2. Calculate p(o(r)).
16*r**4
Let k(z) = 206*z**2. Let l(p) = -2*p. Determine k(l(o)).
824*o**2
Let k(y) = -y. Let h(x) = -2*x. Let g(j) = -3*h(j) + 4*k(j). Let u(i) be the first derivative of 1/3*i**3 + 0*i**2 + 0*i + 1. Give g(u(l)).
2*l**2
Suppose 1 = -2*g + 5. Suppose 6 = -0*s + g*s. Let h(j) = -j - s*j - j - 2*j. Let q(z) = -z. What is h(q(n))?
7*n
Let g(p) = 62*p. Let d(b) = 23*b**2 - 17*b - 17. Let u(i) = -8*i**2 + 6*i + 6. Let s(o) = 6*d(o) + 17*u(o). Give g(s(r)).
124*r**2
Let g(u) be the second derivative of u**4/12 - 2*u. Let n(l) = 3*l + 2. Let c(o) = 4*o + 3. Let i(r) = 2*c(r) - 3*n(r). What is i(g(b))?
-b**2
Let t(x) = 3*x. Let z(f) = 3*f + 5. Let y(k) = 3*k + 6. Let c(m) = 5*y(m) - 6*z(m). Determine t(c(l)).
-9*l
Let o(u) = 2*u. Let i(j) = 7 + 16*j**2 - 2*j**2 - 7*j + 5*j**2. Let l(a) = 10*a**2 - 4*a + 4. Let x(c) = 4*i(c) - 7*l(c). What is o(x(k))?
12*k**2
Let y(d) = 2*d**2 - 4*d**2 + 3*d**2. Let o = -3 + 6. Let g(n) = -8*n**2 + 10*n**2 + 3 - o. What is g(y(h))?
2*h**4
Let n(q) = -q**2. Let s(v) be the third derivative of -v**7/420 + v**4/8 + v**2. Let f(p) be the second derivative of s(p). Determine n(f(d)).
-36*d**4
Let h(a) = a. Let b(y) = -20150*y**2. Calculate h(b(i)).
-20150*i**2
Let q(m) = -2*m. Let l(j) = -j**2 - 26*j + 26*j. Give q(l(f)).
2*f**2
Let c(w) = w**2. Let j(s) = -6*s - 58. Calculate c(j(m)).
36*m**2 + 696*m + 3364
Let a(w) = w. Let p(g) = 13875*g**2. Give p(a(x)).
13875*x**2
Let g(k) = -1823*k**2. Let a(p) = 5*p**2. Give a(g(y)).
16616645*y**4
Let k(m) = m**2. Suppose 6 = 3*r - 4*f, 4*f - 2 = r - 2*r. Let y(n) = -7*n**r + 5*n**2 - 3*n**2. Determine y(k(d)).
-5*d**4
Let g(v) = -6*v. Let c(p) = -5*p**2 + 152*p. Calculate c(g(b)).
-180*b**2 - 912*b
Let j(t) = t. Let s(g) = 18*g. Determine s(j(m)).
18*m
Let q(p) be the first derivative of 22*p**3/3 - 20. Let a(f) = -f. Calculate q(a(b)).
22*b**2
Let s(q) = -5*q - 8*q**2 + 3*q + 2*q. Let t(y) = -y. Determine t(s(z)).
8*z**2
Let z(j) = -5*j**2 + 6*j + 6. Let r(k) = -4*k**2 + 5*k + 5. Let u(q) = -6*r(q) + 5*z(q). Let f(n) be the first derivative of -4*n**3/3 - 5. Calculate u(f(p)).
-16*p**4
Let u(k) be the first derivative of 2*k**2 + 18. Let a(l) = -4*l**2. Give a(u(o)).
-64*o**2
Let w(x) = 28*x. Let k(d) = d + 5*d - 4*d - d. Calculate k(w(g)).
28*g
Let t(p) = 9*p. Let x(f) = f. Let w(h) = t(h) - 5*x(h). Let m(o) = 11 + 3*o - 11. Determine w(m(l)).
12*l
Let a(c) = 3*c - 9. Let b(t) = t**2 + 3. Let x(g) = 1. Let y(o) = -2*b(o) + 6*x(o). Determine a(y(d)).
-6*d**2 - 9
Let z(g) = 2*g**2. Let u(i) = -7*i - 5. Let x(p) = -7*p - 1. Let y(v) = 8*v + 1. Let j(n) = -7*x(n) - 6*y(n). Let h(w) = -5*j(w) - u(w). Determine h(z(f)).
4*f**2
Let t(v) = -3*v. Let d(z) = 2*z + 11. Determine d(t(g)).
-6*g + 11
Let j(z) = -2*z. Let m(h) = -43*h + 1. What is m(j(a))?
86*a + 1
Let f(z) = -2*z**2. Let v(b) be the third derivative of 0*b**3 + 0 - 1/4*b**4 - 3*b**2 + 0*b. Determine v(f(a)).
12*a**2
Let f(a)