- 3. Let y(r) = 4*f(r) + 6*s(r). Let p(x) be the first derivative of x**3/3 + 13. Give p(y(q)).
4*q**4
Let j(p) = 3*p + 1760. Let g(q) = q**2. What is g(j(z))?
9*z**2 + 10560*z + 3097600
Let v(q) = q**3 - 6*q**2 + 4*q + 5. Let k be v(5). Let a(i) = i - 3*i + k*i. Let x(c) = -66 - 3*c**2 + 66. Determine a(x(p)).
6*p**2
Let y(d) = 692*d**2 + 8*d - 1. Let h(u) = -2*u. Give y(h(f)).
2768*f**2 - 16*f - 1
Let k(g) be the second derivative of g**3/2 - 11*g. Let i(r) be the first derivative of r**3 + 2. Calculate i(k(y)).
27*y**2
Let c(p) be the first derivative of 0*p**2 + 3 + 0*p + 2/3*p**3. Let r(b) = 2*b**2. What is c(r(d))?
8*d**4
Let v(o) be the third derivative of -o**5/15 + o**2 - 1. Let a(f) = -3*f**2. Calculate v(a(j)).
-36*j**4
Let l(t) = 7*t - 17. Let q(w) = 20*w - 51. Let f(i) = -17*l(i) + 6*q(i). Let h(s) = -2*s. Calculate f(h(o)).
-2*o - 17
Let q(g) be the second derivative of -g**3/6 - 2*g. Let o(t) = -10*t + 12. Let s(f) = 19*f - 22. Let n(c) = -11*o(c) - 6*s(c). What is q(n(x))?
4*x
Suppose -c - 12 = c. Let b(k) = -k - 2. Let f(l) = -l + 1. Let j(t) = c*f(t) - 3*b(t). Let w(x) = -x**2. Give j(w(z)).
-9*z**2
Let o(q) be the first derivative of -2*q**3/3 + 2. Let z(u) = -u**2 - 1 + 0*u**2 + 1. Determine z(o(b)).
-4*b**4
Let w(x) = -2*x. Suppose 2*f - 23 = -5*z - 0*z, -5*f + 20 = 0. Let j be 20/z - (-5)/15. Let r(y) = j + 3*y - 7. Determine w(r(p)).
-6*p
Let t(a) = a. Let k(o) = -o**3 - 10*o**2 - 10*o - 5. Let r be (-2)/4 - 34/4. Let x be k(r). Let w(g) = -3*g + 0*g + g + x*g. Give t(w(f)).
2*f
Let x(l) = 2*l. Let z(d) = -6*d**2 + 5. Let c(w) = -5*w**2 + 4. Let o(b) = -5*c(b) + 4*z(b). Determine o(x(i)).
4*i**2
Let w(j) = j - 4. Let q(k) = -k + 1. Let o(f) = 4*q(f) + w(f). Let y(h) = 4*h. What is o(y(v))?
-12*v
Let n(w) = -9*w. Let d(h) = h + 2. Let a(t) be the first derivative of -t**2 - 5*t + 3. Let j(z) = 2*a(z) + 5*d(z). Give j(n(f)).
-9*f
Let j(u) = -6*u**2 - 4*u + 4. Let d(t) = -t**2 - t + 1. Let y(i) = 4*d(i) - j(i). Let v(c) = -c**2. Determine v(y(z)).
-4*z**4
Let p(m) = 3*m**2. Let f(d) = -10*d - 4. Let v(s) = -9*s - 3. Let c(x) = 3*f(x) - 4*v(x). Give p(c(t)).
108*t**2
Suppose 0 = -5*i - 20, w = i + 4*i + 22. Let g be -3*w*(-8 + 1). Let l(y) = -g*y + 3*y**2 + 42*y. Let h(u) = -2*u. Calculate l(h(d)).
12*d**2
Let h(n) = n. Let w(o) = 2*o**2 - 5*o + 5. Let t(a) = a - 1. Let b(s) = s**2 - 10*s + 8. Let l be b(9). Let i(f) = l*w(f) - 5*t(f). Calculate i(h(z)).
-2*z**2
Let d(q) be the first derivative of 2*q**3/3 - 3. Let h(p) = -2 + 2 + 2*p**2. What is h(d(x))?
8*x**4
Let a = 3 + -3. Suppose 0 = 3*p + 3*m - 12, 5*m - 2 = p - a*p. Let n(s) = -5*s + 4*s + p*s. Let f(g) = 2*g. Determine f(n(c)).
4*c
Let l(k) = -k**2. Let x(y) = 2054*y**2. Determine l(x(o)).
-4218916*o**4
Let j(i) be the second derivative of -i**4/6 - 2*i. Let m(s) = s - 1. Let b(r) = -r**2 + 9*r - 9. Let t(g) = -2*b(g) + 18*m(g). What is t(j(q))?
8*q**4
Let i(r) = -r**2. Let p be 0 + (-1 - 2) + 0. Let b = 5 + p. Let c(v) = v**2 - 2*v**2 + 2*v**b. Calculate i(c(z)).
-z**4
Let m(n) = -5*n**2. Let a(s) = 2*s - 365. Calculate m(a(t)).
-20*t**2 + 7300*t - 666125
Let n(u) = -12*u**2. Let k(x) = 8*x**2. What is n(k(w))?
-768*w**4
Let v(u) = -4*u - 3818 + 3818. Let c(n) = 3*n**2. Let d(z) = 8*z**2. Let f(h) = -17*c(h) + 6*d(h). Determine v(f(p)).
12*p**2
Let p(g) = -17*g. Let j(v) = -4*v. Let a(y) = 9*j(y) - 2*p(y). Let m(o) be the second derivative of o**3/6 - o. What is m(a(w))?
-2*w
Let o(t) = 33*t**2. Let k(q) = -8*q**2 + 7*q + 7. Let h(g) = 7*g**2 - 6*g - 6. Let w(r) = 7*h(r) + 6*k(r). Calculate w(o(j)).
1089*j**4
Let v(w) = -161*w**2. Let z(c) = 2*c. Give z(v(m)).
-322*m**2
Let x(l) = 4 - 3 + 20*l**2 - 1. Let y(j) = -2*j**2. Determine y(x(p)).
-800*p**4
Let n(f) be the second derivative of f**4/4 - 6*f. Let l(k) be the first derivative of -4*k**3/3 + 1. What is n(l(h))?
48*h**4
Let g(t) = -2*t**2 - 72*t + 72*t. Let a(u) be the third derivative of 0*u**4 + 1/20*u**5 + 0 + 0*u**3 + 0*u + u**2. Calculate a(g(i)).
12*i**4
Suppose -3*f + 23 = 4*l, -2*f = -l - 3*f + 7. Let y(r) = -l*r + 7*r + 8*r - 3*r. Let z(d) = 2*d. Calculate z(y(b)).
20*b
Let k(s) = -5*s**2 - 6*s - 6. Let g(b) = -6*b**2 - 7*b - 7. Suppose -4*m = -5*m - 6. Let v(q) = m*g(q) + 7*k(q). Let d(l) = -3*l**2. Calculate v(d(f)).
9*f**4
Let p = 8 + -6. Let z(s) = -p - 2 + s + 2. Let h(l) = 6*l - 11. Let u(t) = -2*h(t) + 11*z(t). Let w(k) = -k. Determine w(u(b)).
b
Let m(p) = p. Let a be -1 - -1 - (-2 - -1). Let r be 0/(a - (-2 + 2)). Let o(j) = r*j + 2*j - 3*j. Calculate m(o(s)).
-s
Let u(r) = -19*r**2 - 2*r**2 + 4*r**2 - 5*r**2. Let s(x) = -x. Determine s(u(k)).
22*k**2
Let z(o) = 2*o. Let g(q) be the first derivative of -q**3/3 + 7. Give z(g(h)).
-2*h**2
Let l(o) = -3*o - 7*o - 5*o. Let p(a) = -2*a. What is l(p(i))?
30*i
Let a(c) = -c**2 - 13. Let f(n) = -3*n - 9*n + 6*n + 7*n. Determine f(a(l)).
-l**2 - 13
Let d(g) = -g + 132. Let x(b) = -4*b**2 + 2*b. What is d(x(h))?
4*h**2 - 2*h + 132
Let x(a) = -5*a**2 - 3*a**2 + 11*a**2. Let j(z) = -5*z - 4. Let k(s) = s + 1. Let n be 1/(-1*2/8). Let p(m) = n*k(m) - j(m). What is p(x(f))?
3*f**2
Let y(l) = -4*l**2. Let r(g) = g - g + 7*g**2 - 10*g**2. Determine y(r(o)).
-36*o**4
Let u(g) = -g**2. Let l(n) = n**2 - n. Let c(h) = h. Let p(b) = c(b) - 3*l(b). Let z(x) = -4*x**2 + 5*x. Let q(r) = -5*p(r) + 4*z(r). Calculate u(q(f)).
-f**4
Let b(m) = -m. Let g(o) = 22033*o**2. Calculate g(b(a)).
22033*a**2
Let u(p) = 4*p + 9. Let i(x) = x + 2. Let s(l) = -9*i(l) + 2*u(l). Let k(n) = -3 + 3 - n. What is s(k(j))?
j
Let f(l) = 2*l**2. Let c = 1 + 0. Let q(d) = -1 - 4*d**2 + c. Determine f(q(j)).
32*j**4
Let f(p) = p - 4*p + 4*p. Let u(n) = -2*n**2 - 3. Suppose -4*d - 3 = -k + 1, 4*d + k = -12. Let x(j) = j**2 + 1. Let b(g) = d*u(g) - 6*x(g). Give b(f(s)).
-2*s**2
Let s(v) = -1 - 1 - 3 + 5*v. Let r(d) = 3*d - 2. Let h(n) = 10*r(n) - 4*s(n). Let a(t) = -2*t**2. What is a(h(k))?
-200*k**2
Let l(a) = -167*a**2 + 4*a. Let h(p) = -18*p. Determine h(l(q)).
3006*q**2 - 72*q
Let r(s) be the third derivative of s**4/8 + 8*s**2. Let h(t) = -14*t. Give h(r(q)).
-42*q
Let x(s) be the first derivative of s**2/2 + 2. Let t(d) = -d. Calculate x(t(n)).
-n
Let n(p) = -5*p**2. Let d(o) be the second derivative of o**4/6 - 9*o. Determine d(n(w)).
50*w**4
Let c(m) be the first derivative of 2*m**3/3 - 1. Let d(j) be the third derivative of -4*j**2 + 0 + 1/15*j**5 + 0*j + 0*j**4 + 0*j**3. What is d(c(q))?
16*q**4
Let b(i) = 2*i. Let l(y) be the second derivative of y**4/4 + 3*y. What is l(b(r))?
12*r**2
Let n(t) = 4*t**2 + 0*t**2 - 5*t**2. Let i(s) = 16*s + 2. Determine i(n(f)).
-16*f**2 + 2
Let d be 3*8/(-12) - (-10)/4. Let p(t) be the first derivative of -4 + d*t**2 + 0*t. Let l(i) = -i**2. What is l(p(v))?
-v**2
Let k(t) = -10*t. Let f(o) = o**2. What is f(k(g))?
100*g**2
Let k(w) = 1 - 1 + w - 33*w. Let v(g) = -g. Calculate v(k(z)).
32*z
Let t(g) = -g. Let j(x) = -3*x - 3. Let h(m) = 19*m + 17. Let n(d) = 6*h(d) + 34*j(d). Determine t(n(w)).
-12*w
Let a(n) = -n**2 + 6*n**2 - 3*n**2. Let x(i) = -4*i**2. Give a(x(j)).
32*j**4
Let b(c) = 1 - 3*c - 1. Let m(u) = -u. Calculate b(m(j)).
3*j
Let j(s) = 4 + 2*s - 4. Let y(n) = -4*n**2 - 3. Let q(c) = -5*c**2 - 4. Let u(k) = -3*q(k) + 4*y(k). Give u(j(g)).
-4*g**2
Let t(w) be the second derivative of -w + 0 + 1/6*w**3 + 0*w**2. Let n(u) = u. What is t(n(m))?
m
Let i(d) = 5*d - 9*d + 7*d. Let y(q) = -3*q. Give i(y(u)).
-9*u
Let b(k) = 3*k**2. Let r(d) = -1. Let x(w) = 2*w - 10. Let m(c) = 17*c + 4. Let s be m(-2). Let g(q) = s*r(q) + 3*x(q). Determine b(g(n)).
108*n**2
Let v(l) be the second derivative of l**3/6 - l. Let q(r) = 0 - 1 + 0 + 1 + 5*r. Calculate v(q(h)).
5*h
Let u(h) = -h. Let i(w) = -4 + 3 - w - 4*w + 2*w. Let b be i(-1). Let d(j) = -3*j + 6*j - b*j - 2*j. Give u(d(q)).
q
Suppose 7*c + y = 4*c + 6, -3*c + 6 = 5*y. Let u(b) = -c*b + 2*b - 3*b. Let r(v) = -3*v**2. Determine r(u(p)).
-27*p**2
Let n(r) = -8*r**2. Let o(c) be the second derivative of -c**3/6 + 8*c. Give n(o(t)).
-8*t**2
Let a(j) = -j**2 - 5*j + 3*j**2 + 5*j. Let x(w) be the first derivative of w**6/360 + w**3/3 + 1. Let h(z) be the third derivative of x(z). Determine a(h(r)).
2*r**4
Let m(x) = 4*x. Let q(n) = -2*n**2 - 11*n**2 + 9*n**2. Calculate q(m(u)).
-64*u**2
Let z(l) = 2