2
Let w(f) be the second derivative of f**4/12 + f. Let z(q) = 9*q**2. Let r(m) = m**2. Let j(x) = -4*r(x) + z(x). What is w(j(s))?
25*s**4
Let y(q) be the third derivative of q**5/10 + 40*q**2. Let p(t) = t**2. Calculate y(p(i)).
6*i**4
Suppose f = -f + 10. Let l(b) = -2*b**2 + f*b**2 - 2*b**2. Let v(o) = -o**2. What is l(v(d))?
d**4
Let q(l) = -9*l. Let m(c) = 296*c. Calculate m(q(d)).
-2664*d
Let m(o) = 3*o**2 + 2*o. Let d(f) = 4*f**2 + 3*f. Let x(y) = 4*d(y) - 6*m(y). Let j(b) = -2*b**2 + 6. Calculate j(x(t)).
-8*t**4 + 6
Let p(r) = -3*r - 1 + 1. Let w be (3 - 0 - 10)*-1. Let k(z) = 6*z + 4*z - w*z. What is p(k(c))?
-9*c
Let o(h) = -3*h. Let i(c) = c - 6*c + 0*c + 0*c. Determine i(o(y)).
15*y
Let z(y) = 2*y**2 + 6. Let w(l) = 2*l**2 + 5. Let b(m) = -6*w(m) + 5*z(m). Let g(h) = -2*h. Determine b(g(k)).
-8*k**2
Let u(s) = 11*s. Let i(j) = 14*j. Give i(u(z)).
154*z
Let w(a) = 4*a**2. Let j(v) = -17*v. Calculate j(w(k)).
-68*k**2
Let j(v) = v. Let m(c) = -c**2 + c + 1. Let n(o) = o**2 + 2*o + 2. Let b(y) = -2*m(y) + n(y). What is j(b(g))?
3*g**2
Let b(r) = r**2. Let g(p) = -p**2 + 6*p**2 - 7*p**2. Calculate g(b(f)).
-2*f**4
Let h(q) = -q - 64. Let s(d) be the first derivative of -2*d**3/3 - 7. Calculate s(h(o)).
-2*o**2 - 256*o - 8192
Let w(l) = -2*l**2 - 4*l. Let q(p) = -5*p**2 + p - 4*p + 4*p**2. Let j(f) = -4*q(f) + 3*w(f). Let z(m) = 8*m. What is z(j(t))?
-16*t**2
Let k(r) be the first derivative of 0*r + 0*r**2 - 2/3*r**3 - 1. Let v(z) = -5*z. Give v(k(f)).
10*f**2
Let y(n) = 21*n**2 - 7. Let u be (-27)/4 - (-1)/(-4). Let f(d) = -7*d**2 + 2. Let t(h) = u*f(h) - 2*y(h). Let q(o) = o. What is t(q(i))?
7*i**2
Let h(x) = 34*x**2. Let s(z) = -6*z**2. Calculate s(h(u)).
-6936*u**4
Let f(p) = -3*p. Let y(i) = -701*i**2. What is y(f(b))?
-6309*b**2
Let b be (0 + -3)*1/1. Let h(t) = 2*t**2 - 3*t - 3. Let n(w) = -4*w**2 + 5*w + 5. Let m(l) = b*n(l) - 5*h(l). Let c(i) = 3*i**2. Determine c(m(u)).
12*u**4
Let v(i) be the second derivative of i**6/360 + i**3/6 + 4*i. Let h(t) be the second derivative of v(t). Let m(w) = 2*w - 7*w + w. What is h(m(x))?
16*x**2
Let y(g) = -74*g. Let k(m) = 8*m - 9*m + 2*m. What is k(y(r))?
-74*r
Let r(y) = 3*y. Let x(z) = 9*z - 1. Calculate x(r(i)).
27*i - 1
Let f(c) be the first derivative of c**4/12 - c + 1. Let y(l) be the first derivative of f(l). Let h(w) be the first derivative of -w**2/2 - 1. Give y(h(n)).
n**2
Let s(a) = -a**2 + 3*a**2 + 4*a**2. Let p(q) be the third derivative of -q**5/30 + q**2 + 13. Determine p(s(k)).
-72*k**4
Suppose 4*x + 0*x + 5*i = 21, -5*i = -5. Suppose 12 = x*o - 0*o. Let h(q) = q + q - o*q. Let y(c) = c. Calculate h(y(w)).
-w
Let m(q) be the first derivative of -q**3/3 + 12. Let c(u) = -u - 3. Let x(d) = 4*d + 11. Let j(t) = -22*c(t) - 6*x(t). Give j(m(p)).
2*p**2
Let i(o) = -307*o. Let u(x) = -2*x**2. What is u(i(l))?
-188498*l**2
Let a(x) = -17*x - 29 + 29. Let r(n) = -2*n. Calculate a(r(s)).
34*s
Let d(a) = 62*a. Let u(x) = x + 19. Determine u(d(j)).
62*j + 19
Let m(u) = u + 0*u + u. Let c(i) = -5*i + 14 - 7 - 7. Give m(c(x)).
-10*x
Let h(v) = -3*v + 3*v + v**2. Let w(p) = 2*p**2. Let x(r) = -4*h(r) + 3*w(r). Let q(d) = 2 - d - 2 + 0*d. Calculate q(x(t)).
-2*t**2
Let j(o) = -3*o**2. Let r(k) = -13*k - 5. Let a(q) = 7*q + 3. Let g(s) = 5*a(s) + 3*r(s). Give g(j(b)).
12*b**2
Let w(c) be the second derivative of -c**4/12 - 23*c. Let s(p) = 4*p**2 - 1 + 1. What is w(s(k))?
-16*k**4
Let u(c) = -21*c**2 + 15*c + 15. Let i(j) = 3*j**2 - 2*j - 2. Let m(z) = -30*i(z) - 4*u(z). Let o(f) = 2*f**2. Calculate o(m(n)).
72*n**4
Let r(n) = -3*n**2. Let b(l) = -57*l + 25*l + 28*l. What is r(b(t))?
-48*t**2
Let u(s) be the first derivative of 0*s + 4 - 3/2*s**2. Let y(b) = 2*b. Determine y(u(v)).
-6*v
Let t(g) = 193*g. Let u(m) = -32*m. What is u(t(s))?
-6176*s
Let n(f) = f - 3*f + 7*f. Let k(i) = 2*i**2. Give k(n(h)).
50*h**2
Suppose 1 = -s + 5*v + 33, 0 = -3*s + 4*v + 41. Let x(b) = 0*b - 6*b + s*b. Let o(a) = -6*a. Calculate x(o(n)).
-6*n
Let b(t) = t**3 - 6*t**2 - 4 + 2*t**3 - 2*t**3 + t. Let o be b(6). Let r(k) = -k + k - 2*k**o. Let u(m) = -2*m. Calculate u(r(a)).
4*a**2
Let f(a) = -2*a**2. Let b(g) be the second derivative of -7/2*g**3 + 0*g**2 - 10*g + 0. What is b(f(h))?
42*h**2
Let r(v) = 2*v. Let o(b) = -b**2 + 8 - b**2 + b**2 - 5*b. Let i be o(-6). Let x(j) = -i*j + 2*j + 2*j. What is r(x(g))?
4*g
Let u(c) = -3*c - 5 + 5. Let v(k) be the second derivative of k**4/6 - k - 26. Calculate u(v(w)).
-6*w**2
Let i(u) = -4*u**2 - 3*u**2 + 3*u**2. Let k(q) = 4*q. What is k(i(z))?
-16*z**2
Let d(w) = -4*w - 14. Let z be d(-4). Let p(x) = -3*x**2 - 11*x**z + x**2. Let r(s) = s**2. What is r(p(u))?
169*u**4
Let l(i) = -7*i**2. Let u(c) = 39*c. Determine l(u(d)).
-10647*d**2
Let y(q) = -103*q**2. Let x(g) = 49*g**2. Determine y(x(a)).
-247303*a**4
Let s be (8/4)/((-2)/(-12)). Suppose 7 = 5*j + 2*u - 5*u, 4*u - s = -4*j. Let p(f) = -6*f**2 + 3*f**j + 0*f**2. Let v(b) = 2*b**2. Determine p(v(x)).
-12*x**4
Suppose -5*p - 5 = -15. Let j(l) = 2*l**p + 19*l - 19*l. Let i(f) = -6*f**2. Calculate j(i(d)).
72*d**4
Let o(g) = -2*g + 3*g + 2*g. Let z(r) = -5*r**2 + 8*r. Let i(v) = 3*v**2 - 5*v. Let k = 13 + -18. Let n(h) = k*z(h) - 8*i(h). Determine n(o(c)).
9*c**2
Let c(f) = 4*f**2. Let y(x) = -118*x + 4. Calculate y(c(v)).
-472*v**2 + 4
Suppose -3*v = -2*v - 3. Let r(h) = 6*h**2 - 2*h**2 - v*h**2. Let k(s) be the third derivative of s**4/24 - 2*s**2. Determine k(r(i)).
i**2
Suppose 2*w + x = 8 + 71, -5*w + 2*x + 202 = 0. Let m(p) = -5 - 45*p + 5 + w*p. Let s(b) be the third derivative of -b**5/60 - b**2. Calculate s(m(q)).
-25*q**2
Let a(c) = 15*c - 2. Let h(n) = -18*n. What is a(h(f))?
-270*f - 2
Let p(r) = -r. Let q(x) = -228*x. Determine p(q(l)).
228*l
Let y(w) be the third derivative of w**5/6 + 20*w**2. Let c(d) = -2*d. Determine c(y(z)).
-20*z**2
Let b(j) be the second derivative of -13*j**3/6 + 12*j. Let m(i) = -i. What is m(b(c))?
13*c
Let g(l) = 3329*l. Let k(y) = 3*y**2. Determine g(k(c)).
9987*c**2
Suppose u - 2*u - 5*w + 7 = 0, -2*u - 3*w + 7 = 0. Let p(i) = i**u - 13*i**2 - 5*i**2. Let o(a) = -2*a. Calculate o(p(r)).
34*r**2
Let h(j) = -6*j - 6. Let x(c) = 1. Let d(g) = -h(g) - 6*x(g). Let b(n) = -n. Let i(r) = -2*r. Let f(p) = 3*b(p) - 2*i(p). Give d(f(a)).
6*a
Let p(o) be the first derivative of 3*o**2/2 + 1. Let y(v) = 3*v**2 + 6*v + 4. Let s be y(-4). Let u(r) = 2*r - s + 28. What is p(u(t))?
6*t
Let b(i) = -2*i. Let h(a) = 2*a. Let f = 4 + -2. Let g(s) = 2*s**f - s**2 + 7*s + 0*s**2. Let v(j) = -2*g(j) + 7*h(j). Calculate v(b(u)).
-8*u**2
Let h(l) = l. Let a(x) be the second derivative of -5*x**4/6 + 10*x + 1. Determine a(h(b)).
-10*b**2
Let v(k) = -3*k. Let i be 9*(-7)/(42/4). Let z(l) = l - 2. Let c(a) = -a + 3. Let h(q) = i*z(q) - 4*c(q). Calculate h(v(j)).
6*j
Let c(s) = -492*s. Let k(g) = 3*g**2. Give k(c(w)).
726192*w**2
Let w(u) = 477*u - 2*u**2 - 477*u. Let c(z) = 2*z - 12. Determine w(c(l)).
-8*l**2 + 96*l - 288
Let d(z) = 0*z + 4*z + 2*z. Let l(m) = 4*m**2 - 6*m - 3. Let y(v) = 3*v**2 - 4*v - 2. Let a(x) = -2*l(x) + 3*y(x). Give a(d(q)).
36*q**2
Let l(g) = -299*g**2 + 91*g. Let h(f) = -10*f**2 + 3*f. Let w(i) = -91*h(i) + 3*l(i). Let t(p) = 3*p. Calculate w(t(a)).
117*a**2
Let s(f) = -88*f**2. Let l(p) = -4*p**2. Determine s(l(z)).
-1408*z**4
Let p(o) = 5*o - 6. Let i(m) = -2*m + 1. Let x(t) = 6*i(t) + p(t). Let a(y) = y. Determine x(a(r)).
-7*r
Let u(w) = w. Let x(y) = -2*y**2 - 49*y + 3. Give x(u(o)).
-2*o**2 - 49*o + 3
Let g(x) = x**2. Suppose m = -3*m + 4, -5*u - 4*m = -14. Suppose -3 - 5 = -4*i. Let l(k) = 5*k**i - 4*k**2 - 2*k**u. What is l(g(s))?
-s**4
Let g(q) = 24*q + 5. Let f(c) = -c. What is g(f(y))?
-24*y + 5
Let n(g) = 15*g. Let b be 29/4 + 1/(-4). Let a(f) = -b*f**2 - f**2 + 7*f**2. Determine a(n(p)).
-225*p**2
Let a(x) = -284*x**2. Let z(s) = -50*s. Calculate a(z(h)).
-710000*h**2
Let m(s) = -3*s**2. Let n(h) be the second derivative of 5*h**4/4 + h. Let y(i) = 11*m(i) + 2*n(i). Let g(d) = 3*d. Determine g(y(t)).
-9*t**2
Let l(b) = -219*b**2. Let f(v) = -v. Give l(f(z)).
-219*z**2
Let d(w) = w**2 - 15. Let p(v) = -2*v**2. What is d(p(f))?
4*f**4 - 15
Suppose 4 = 2*w - 0*w. Let q(y) = w*y - y + 2*y - y. Let x(m) = 9*m**2. Give q(x(r)).
18*r**2
Let d(h) = 2 - 2 - h