 Let r(k) = -k**2. Determine f(r(j)).
384*j**4
Let z(w) be the second derivative of 2*w + 0 + 1/12*w**4 + 0*w**3 + 0*w**2. Let y(c) = 6*c. What is y(z(l))?
6*l**2
Let y(s) = 2*s. Let v(r) = 618*r**2. What is y(v(a))?
1236*a**2
Let d(v) be the first derivative of 2*v**2 + 1. Let s(f) = -3*f**2. Determine s(d(l)).
-48*l**2
Let y(a) = -11*a. Let g(n) = 63*n + 3. Give y(g(l)).
-693*l - 33
Let p(h) = -7*h**2 - 4*h - 4. Let y(m) = -m**2 - m - 1. Let x(w) = -p(w) + 4*y(w). Let q(a) = -2*a. What is x(q(c))?
12*c**2
Let p be 6/8 - 35/(-28). Let q(v) = 3*v**2 + v**p - 2*v**2 - 3*v**2. Let n(c) = -7*c. Determine q(n(u)).
-49*u**2
Let x(d) = -56*d**2. Let k(a) = 20*a**2. What is x(k(u))?
-22400*u**4
Let d = -4 + 4. Let f(l) = -2*l + 0*l + 7*l + d*l. Let v(g) = -3*g. Determine v(f(i)).
-15*i
Let k(b) = 32*b**2 - 2. Let p(i) = -i. Determine p(k(m)).
-32*m**2 + 2
Suppose -4*o = -8, -5*o = 3*s - 5*s + 38. Let b(z) = -3*z**2 - 17 + 41 - s. Let h(a) = a. Calculate b(h(n)).
-3*n**2
Let h(s) = 3*s**2. Let o(b) = 136*b**2 - 3. Calculate h(o(t)).
55488*t**4 - 2448*t**2 + 27
Let q(m) be the second derivative of 7*m**6/180 + m**3/3 - 3*m. Let g(l) be the second derivative of q(l). Let s(a) = a**2. Give s(g(y)).
196*y**4
Let z(x) = -19*x**2 + 7*x. Let r(j) = j**2. Calculate z(r(u)).
-19*u**4 + 7*u**2
Let c(t) = -3*t**2. Let a(n) be the second derivative of 0 + 0*n**2 + 2*n + 1/6*n**4 + 0*n**3. What is c(a(b))?
-12*b**4
Let d(c) = -5*c. Let b(m) = 272*m. Determine d(b(q)).
-1360*q
Let x(v) = -17*v**2. Let s(d) = 2*d - 6. Let c(f) = 2*f - 5. Let g(p) = -6*c(p) + 5*s(p). Give x(g(l)).
-68*l**2
Let u(s) = -5*s + 4*s + 2*s. Let x(i) = i + 1. Let w(l) = -2*l + 2. Let v(n) = w(n) - 2*x(n). What is u(v(k))?
-4*k
Let j(t) be the third derivative of t**5/60 - 12*t**2. Let k(f) = -16*f**2. Calculate k(j(q)).
-16*q**4
Let p(n) = -n. Let a = 4 - -1. Let v(f) = 2*f - 19 + 39 - 16. Let u(y) = -y - 5. Let j(h) = a*v(h) + 4*u(h). Determine p(j(q)).
-6*q
Let z(x) be the second derivative of 0*x**3 + 1/12*x**4 + 2*x + 0*x**2 + 0. Let r(g) = 6*g - 5*g + 0*g. Determine r(z(p)).
p**2
Let k(f) = 5*f. Let o(c) = c**2 + c + 1. Let u(b) = -3*b**2 - 2*b - 2. Let z(s) = -6*o(s) - 3*u(s). Determine z(k(n)).
75*n**2
Let g(m) be the second derivative of 3*m**4/4 - 8*m. Let v(a) = 2*a. Calculate v(g(u)).
18*u**2
Let y(d) = -d**3 - 2*d**2 - d. Let k be y(-2). Let g(x) = -2 + x**k + 2. Let t(i) be the third derivative of -i**4/8 - 2*i**2. Calculate t(g(c)).
-3*c**2
Let m(d) = -2*d**2. Let z(l) = -9*l**2 + 21. Give z(m(y)).
-36*y**4 + 21
Let h(v) be the third derivative of 0 + 0*v**3 + 1/20*v**5 + 6*v**2 + 0*v**4 + 0*v. Let d(q) be the third derivative of q**5/30 - q**2. Give h(d(k)).
12*k**4
Let l(u) = -u**2 - 4*u**2 - 3*u**2 + 6*u**2. Let k(n) = -33*n. Calculate l(k(r)).
-2178*r**2
Let d(y) = -11*y + 11. Let j(h) = -27*h. Determine d(j(v)).
297*v + 11
Let r(n) = n**2. Let w(g) be the first derivative of -2*g**3 + 9. What is r(w(a))?
36*a**4
Let m = 9 - 9. Let p(n) be the second derivative of 2*n + 0 + 1/12*n**4 + m*n**3 + 0*n**2. Let q(c) = -c. Determine p(q(u)).
u**2
Let t(a) = -8*a. Let g be (-5 - -7)*2/4. Let z(f) = 0*f**2 + g - f**2 - 1. Calculate z(t(x)).
-64*x**2
Let k(y) = -1354*y**2. Let n(t) = -2*t**2. Give k(n(x)).
-5416*x**4
Let r(c) = 9*c. Let i(u) = -4*u. What is i(r(f))?
-36*f
Let a(v) = 4*v**2 - 5. Let j(h) = -h**2 + 1. Let r(k) = -a(k) - 5*j(k). Let u be 8/2*3/4. Let m(d) = -d + u*d - 3*d. What is m(r(y))?
-y**2
Suppose w = 6*w + 2*p - 8, 2*p - 8 = 0. Let n(h) = -h - h + h + w. Let f(i) = 2*i. What is n(f(a))?
-2*a
Let i(v) be the second derivative of -v**3/2 + 3*v. Let c(k) = -2*k - 3 + 3 + 0*k. What is i(c(w))?
6*w
Let r be (-38)/(-5) + 3/(-5). Let p = 9 - r. Let b(z) = -24 + 24 + 5*z**p. Let w(s) = 2*s. Determine b(w(v)).
20*v**2
Let u(w) = 743*w. Let h(x) = -3*x. What is h(u(v))?
-2229*v
Let y(s) = 29*s. Let l(k) be the second derivative of k**3/3 + 13*k. Determine y(l(c)).
58*c
Let a(c) = -15*c. Let r(h) be the first derivative of h**3/3 + 5. Give a(r(y)).
-15*y**2
Let d(y) = y**3 - y**2 + y - 1. Let p be d(1). Let b(s) = 3*s - 3*s + p*s - 3*s. Let k(g) = -g**2. Determine b(k(m)).
3*m**2
Let g(w) = 2*w. Let m(d) be the second derivative of 0*d**2 + 1/3*d**4 + 3*d + 0*d**3 + 0. Determine g(m(t)).
8*t**2
Let c(f) = 5*f - 3. Let l(m) = -6*m + 4. Let r(p) = 4*c(p) + 3*l(p). Let w(v) = -2*v**2 - 1. What is w(r(x))?
-8*x**2 - 1
Let h(z) = 2*z. Let x(f) = 3041*f. Determine h(x(l)).
6082*l
Let k(t) = -t. Let o(l) = l**2 - 20*l. Determine o(k(r)).
r**2 + 20*r
Let j = -12 - -6. Let y be (8/6)/((-4)/j). Let l(v) = -6*v**y + 0*v**2 + 2*v**2. Let k(c) = -2*c. Determine l(k(g)).
-16*g**2
Let g(t) = -306*t. Let y(q) = q**2. Calculate y(g(i)).
93636*i**2
Let m(p) = -9*p**2 - 7*p - 7. Let u(t) = -4*t**2 - 3*t - 3. Let r(x) = 3*m(x) - 7*u(x). Let b(k) = 2*k**2. Give r(b(w)).
4*w**4
Let c(h) = 59*h**2. Let j(o) = 11*o. What is j(c(p))?
649*p**2
Let p(j) be the second derivative of j**4/6 - 2*j. Suppose -2*o + 2 = -o. Let d(r) = r**2 - r**o + r**2. Give p(d(f)).
2*f**4
Let r be (2/(-6))/((-4)/24). Let s(u) = 46 + 2*u**r - 46. Let o(b) = -19*b**2 + 13. Let g(d) = -9*d**2 + 6. Let a(j) = 13*g(j) - 6*o(j). Determine a(s(y)).
-12*y**4
Suppose 5*u = -6 + 16. Let z(x) = 0*x + 4*x**u - 5*x**2 + 0*x. Let l(k) = k**2. Determine z(l(r)).
-r**4
Let t(g) = -7*g. Let v(j) = 7*j**2. Give v(t(m)).
343*m**2
Let j(z) = 3*z - 3. Let w be j(3). Let s(g) = -3*g + w*g - 7*g + 9*g. Let m(t) = -2*t**2. Give s(m(q)).
-10*q**2
Let y(c) = -2*c**2. Let v = 13 + -8. Let h(w) = w + w + w - v*w. Give h(y(j)).
4*j**2
Let o(n) = 2*n + 3*n - 3*n. Let c(b) be the third derivative of 1/12*b**4 - 4*b**2 + 0*b + 0*b**3 + 0. Calculate c(o(a)).
4*a
Let s(u) = -20*u**2. Let q(n) be the third derivative of -n**5/30 - 24*n**2. What is s(q(x))?
-80*x**4
Let b(x) be the first derivative of -x**2 + 21. Let m(r) be the second derivative of -r**3/3 + r. What is m(b(g))?
4*g
Let x(v) = 193*v. Let i(f) = 76*f**2. Calculate x(i(h)).
14668*h**2
Let p(m) be the second derivative of m**4/6 - 30*m. Let j(c) = c**2 - c + 1. Let t(w) = -8*w**2 + 9*w - 9. Let n(y) = 18*j(y) + 2*t(y). Give n(p(f)).
8*f**4
Let l(f) = f - 1. Let v(m) = -3. Let u(q) = 3*l(q) - v(q). Let i(a) = -2*a**2. Determine i(u(g)).
-18*g**2
Let g(y) = y. Let q(j) = -79*j**2. Calculate g(q(d)).
-79*d**2
Let m(l) = -2 + 2*l**2 + 2. Let z(s) be the first derivative of -2*s**3 + 3*s**3 + 1 + 0*s**3. What is z(m(x))?
12*x**4
Let d(y) be the third derivative of -y**8/10080 + y**5/12 - 4*y**2. Let u(h) be the third derivative of d(h). Let g(i) = i**2. What is u(g(v))?
-2*v**4
Let p(y) = 4*y**2. Suppose u + 0 + 2 = x, -4*u = 5*x - 10. Let w(d) = 1 - x + 1 - d. Give w(p(k)).
-4*k**2
Let l(q) = -10*q**2. Let x(v) = 214*v**2. What is l(x(d))?
-457960*d**4
Let u(j) = 4*j - 20*j - 1015 + 1015. Let b(n) = 2*n**2. Give b(u(f)).
512*f**2
Let g(a) = 3*a. Let m(v) = 970*v**2. What is m(g(p))?
8730*p**2
Let k(l) = 2*l. Let r(b) = 845*b. What is k(r(c))?
1690*c
Let w(u) be the first derivative of 0*u**2 - 2/3*u**3 + 0*u + 4. Let m(p) be the second derivative of p**3/6 + p. Determine w(m(s)).
-2*s**2
Let j(n) = 3*n**2 - 12*n. Let f(s) = -25*s. Give j(f(a)).
1875*a**2 + 300*a
Let x(l) be the third derivative of l**5/30 - 2*l**2 - 7. Let n(m) be the second derivative of -2*m + 0*m**3 + 2/3*m**4 + 0 + 0*m**2. Calculate x(n(f)).
128*f**4
Let z(v) be the second derivative of v**4/6 + 3*v. Let a(t) = 2*t**2. What is a(z(o))?
8*o**4
Suppose -10 = -2*q - 0. Let k(s) = 3*s + 5*s - 4*s - q*s. Let i(m) = m. What is i(k(b))?
-b
Let v(m) = -84*m**2 + 171*m**2 - 86*m**2. Let h(u) = -5*u. What is v(h(g))?
25*g**2
Let u(x) = 6*x. Suppose 3*a + 2 = a. Let b(d) = 3*d**2 - 2*d. Let i(t) = t**2 - t. Let q(h) = a*b(h) + 2*i(h). Calculate u(q(c)).
-6*c**2
Let u(c) = -c**2. Let n(d) = 5*d - 7. Let p(y) = -3*y + 4. Let s(a) = 4*n(a) + 7*p(a). Give s(u(j)).
j**2
Let g(m) = -7*m. Let f(o) be the third derivative of -1/24*o**4 + 0*o**3 - 3*o**2 + 0*o + 0. Give g(f(d)).
7*d
Let s(j) = 3*j**2. Let n(d) = -58 + d + 58. Let q(b) = -6*b. Let o(h) = 3*n(h) + q(h). Determine s(o(a)).
27*a**2
Let n(f) be the third derivative of -f**8/20160 - f**5/30 + f**2. Let q(j) be the third derivative of n(j). Let o(p) = -3*p**2. Give q(o(m)).
-9*m