4*s**4
Let q(f) be the second derivative of f**4/4 + 4*f. Let b(u) = 6*u**2. What is q(b(y))?
108*y**4
Let v(w) = 14*w + 11. Let m(s) = -s - 1. Let k(b) = -22*m(b) - 2*v(b). Suppose 4*q - 16 = -0*q. Let t(l) = q*l + 0*l - 3*l. What is t(k(h))?
-6*h
Let w(p) = -12*p**2. Let t(c) = 4*c**2 - 5*c - 5. Let u(j) = j**2 - j - 1. Let z(v) = -t(v) + 5*u(v). Determine w(z(q)).
-12*q**4
Let t(x) = -2*x. Let s(v) = v. Suppose -5*p + 7*j - 3*j = -11, 4 = 2*p - 2*j. Let k(m) = p*s(m) + t(m). Let c(q) = -2*q + 13*q - 9*q. What is c(k(w))?
2*w
Let o(a) = 4*a**2. Let i(d) = 7*d. Give i(o(q)).
28*q**2
Let n(u) be the second derivative of -u**4/12 - 2*u. Let t(k) = 392 - 392 + 9*k**2. Calculate t(n(d)).
9*d**4
Let k(n) be the first derivative of -3*n**2/2 + 16. Let x(q) = 2*q**2. What is k(x(y))?
-6*y**2
Let u(b) = b**2. Let j(w) = 4*w + 132. Calculate u(j(y)).
16*y**2 + 1056*y + 17424
Let i(d) be the first derivative of d**4/6 - 3*d + 2. Let m(a) be the first derivative of i(a). Let f(c) = -4*c. Determine m(f(y)).
32*y**2
Let l(f) be the first derivative of f**5/120 - 4*f**3/3 + 1. Let i(z) be the third derivative of l(z). Let k(q) = -q. Determine k(i(v)).
-v
Suppose -7*s - 1 = -8*s. Let v(y) = 3*y - 1 - 7 + 2. Let r(b) = 1. Let t(g) = s*v(g) + 6*r(g). Let c(z) = -2*z**2. Determine t(c(f)).
-6*f**2
Let w(i) = -580*i - 1. Let l(n) = 2*n. Give l(w(c)).
-1160*c - 2
Let t(p) = 1. Suppose -5*w = -5*m - 5, -2*m - m = -w + 5. Let i(n) = 2*n + 3. Let g(o) = m*i(o) + 6*t(o). Let q(k) = 22 - 22 - k**2. Determine g(q(c)).
4*c**2
Suppose 1 = -3*r - 5. Let c = 0 - r. Let h(k) = -2 - 2*k + c. Let w(v) = 2*v. Calculate h(w(p)).
-4*p
Let r(h) = -9*h**2. Let z(d) = -d + 0*d + d + d. Give z(r(c)).
-9*c**2
Let m(d) = -36*d + 1. Let x(q) = -2*q. What is x(m(c))?
72*c - 2
Let q(x) = -15*x. Let p(f) = 5*f - 2. Let d(y) = -5 - 41*y + 45*y + 2. Let w(b) = -2*d(b) + 3*p(b). Let h(z) = -6*q(z) - 13*w(z). Let s(o) = -7*o. Give h(s(t)).
7*t
Let z(v) = 475*v**2. Let k(f) = 2*f. Determine k(z(h)).
950*h**2
Let o(m) = -m**2 + 2*m**2 + m**2. Let c(x) = -8*x**2. What is c(o(h))?
-32*h**4
Let u(j) = -24*j. Let g(x) = x + x - x - 3*x. What is g(u(z))?
48*z
Let a = -5 + 6. Let d(o) = 1 - 2*o - a. Let k(p) = 7*p. Calculate d(k(v)).
-14*v
Let j(s) = -3*s. Let n(v) = -3*v. Let h(p) = 2*p. Let d(c) = 3*h(c) + 4*n(c). Determine d(j(w)).
18*w
Let t(g) be the first derivative of -2*g**3/3 - 1. Let s(x) = 4*x - 5. Let v(r) = 1. Let w(j) = 2*s(j) + 10*v(j). Calculate w(t(b)).
-16*b**2
Let d(f) = 2*f**2. Let c(h) = h**2. Let u = -5 + 9. Let r(v) = u*c(v) - d(v). Let w(z) = 2*z + 1. Let i(n) = n + 1. Let m(a) = 2*i(a) - 2*w(a). What is r(m(k))?
8*k**2
Let i(n) = 2*n. Let t = -16 - -24. Let w(x) = 0*x - 4*x + t*x. Give i(w(b)).
8*b
Let u(k) = 6*k**2 + k**2 - 5*k**2. Let f(y) = -10*y**2. Calculate u(f(j)).
200*j**4
Let p(f) = 3*f + 4*f - 4*f. Let z(c) be the third derivative of -1/12*c**4 + 0*c + 0*c**3 - 3*c**2 + 0. Determine p(z(b)).
-6*b
Let u(j) = 3*j**2 + 2. Let l(i) = -i**2 + 1. Let w(c) = 2*l(c) - u(c). Let z(f) = 11*f**2. Let g(y) = -9*w(y) - 4*z(y). Let x(m) = 3*m**2. What is g(x(v))?
9*v**4
Let z(n) = 12*n**2 + 11. Let a(i) = -i**2 - 1. Let x(c) = -22*a(c) - 2*z(c). Let f(m) = m**2 - 34. Determine x(f(k)).
-2*k**4 + 136*k**2 - 2312
Let f be 6*-1 + 2 + 4. Let k(y) be the first derivative of -1 - 1/2*y**2 + f*y. Let u(l) = l. Give u(k(t)).
-t
Let a(s) = -3 + 3 + 6*s**2 - 7*s**2. Let q(g) = -30*g. Give a(q(o)).
-900*o**2
Let u(x) = -21*x. Let z(j) = -5*j. What is z(u(m))?
105*m
Let w(j) = j**2. Let g(c) be the first derivative of -c**2/2 + 8. Determine w(g(y)).
y**2
Let j(y) = 25*y**2. Let s(i) = 2*i**2 + 3. Calculate j(s(w)).
100*w**4 + 300*w**2 + 225
Let r(v) = 2*v**2. Let y(f) be the first derivative of 4*f**3/3 + 8. What is y(r(q))?
16*q**4
Let b(m) = -587*m. Let q(n) = 2*n**2. What is q(b(a))?
689138*a**2
Let k(z) = z**2 + z + 1. Let f(t) = t + 1. Let o(b) = -5*f(b) + 5*k(b). Let h(m) = -2*m. Give h(o(l)).
-10*l**2
Let o(i) be the second derivative of 0*i**2 + 1/3*i**3 + 9*i + 0. Let h(s) = -4*s. Determine h(o(l)).
-8*l
Let m(o) = -3*o**2. Let h(d) be the second derivative of -d**5/30 + d**2/2 + 5*d. Let b(f) be the first derivative of h(f). Determine b(m(i)).
-18*i**4
Let k(a) = 3*a. Let g(j) = 2*j**2 - 8. Suppose 0*h = -h. Let p(w) = -3 + h + 4. Let m(r) = -g(r) - 8*p(r). Calculate m(k(i)).
-18*i**2
Let c(q) = -293*q**2. Let j(w) = -2*w. What is c(j(r))?
-1172*r**2
Let n(c) = 5*c. Let k(j) = 4*j. Let b(o) = -6*k(o) + 5*n(o). Let x(h) = -h - 1. What is b(x(i))?
-i - 1
Let d(y) = 3*y. Let o(h) = -16*h. Determine o(d(x)).
-48*x
Let u(t) = -2116*t**2. Let l(f) = -2*f. Calculate u(l(x)).
-8464*x**2
Let b(h) = -3*h. Let m(u) = -u**2 + 6. Let d(g) = -7*g. Let t be d(-1). Let z be (1*t)/(5 - 6). Let p(n) = -n**2 + 7. Let q(l) = z*m(l) + 6*p(l). Give q(b(x)).
9*x**2
Let a(l) = -l. Let c(d) be the third derivative of d**6/120 - d**4/6 - 5*d**2. Let m(h) be the second derivative of c(h). What is a(m(t))?
-6*t
Let k(x) = 5*x - 4*x + x - 5*x. Let n(q) = 3*q. Calculate n(k(h)).
-9*h
Let r(g) = -g. Let z(v) = -847*v. Let c(t) = -141*t. Let w(i) = 35*c(i) - 6*z(i). Determine r(w(p)).
-147*p
Let h(r) = 4*r. Let j(p) = 0*p**2 - 3*p**2 + 2*p**2. Calculate j(h(m)).
-16*m**2
Let x(z) = z + 4*z - 3*z. Let q(g) be the third derivative of 0*g**3 + 0 + 1/24*g**4 + 0*g + g**2. Calculate x(q(n)).
2*n
Let l(d) = -2*d. Let t(g) = -7*g + 112. What is l(t(x))?
14*x - 224
Let x(h) = -2*h**2. Let v be 1 - (-1 + 3 + -1). Let r(p) = 2*p + 0 + 3*p + v. Determine r(x(a)).
-10*a**2
Let u(c) = -c**2. Let y be (-46)/16 - (1 + -4). Let l(m) be the third derivative of y*m**4 + 0*m + 0 - 2*m**2 + 0*m**3. What is u(l(a))?
-9*a**2
Let q(n) = -969*n**2. Let i(x) = -x. What is i(q(h))?
969*h**2
Let p(r) = -2*r. Let h(u) = -12*u - 6. Let v(t) = 35*t + 17. Let g(o) = 8*h(o) + 3*v(o). Determine g(p(x)).
-18*x + 3
Let b(t) be the first derivative of -19*t**3/3 + 32. Let u(v) = v**2. Give u(b(l)).
361*l**4
Let r(s) be the second derivative of 4*s**3/3 - 4*s. Let h(x) = -2*x. Calculate r(h(t)).
-16*t
Let i(v) = -v**2 + 118. Let j(k) = -10*k. Determine j(i(p)).
10*p**2 - 1180
Let r(l) = 6*l**2. Let f(x) = 107*x. Determine f(r(k)).
642*k**2
Let b(y) = -136*y**2. Let z(r) = -7*r**2. Determine b(z(c)).
-6664*c**4
Let o = -10 - -8. Let w(v) = -5 - 5*v + 5*v - 7*v**2. Let x(i) = -3*i**2 - 2. Let p(y) = o*w(y) + 5*x(y). Let h(j) = -3*j. Give h(p(a)).
3*a**2
Let v(s) = 3*s - 4. Let q(w) = 2*w - 3. Let g(m) = -4*q(m) + 3*v(m). Let c(f) = -6*f**2. What is c(g(t))?
-6*t**2
Let g(t) = t**2. Let v = -9 + 8. Let y(w) = w**2 - w. Let x(m) = -5*m**2 + 4*m. Let o(b) = v*x(b) - 4*y(b). Give g(o(j)).
j**4
Let v(z) = 7*z. Let g(c) be the first derivative of 4*c**3/3 - 18. Calculate g(v(l)).
196*l**2
Let c(q) = -328*q. Let u(h) = -2*h. Determine u(c(g)).
656*g
Let u(b) be the third derivative of -b**6/72 + b**3/2 - 3*b**2. Let l(q) be the first derivative of u(q). Let o(h) = 2*h. What is o(l(d))?
-10*d**2
Let w(j) = -2*j. Let q(p) = 578*p. Calculate q(w(n)).
-1156*n
Let s(y) = -2*y**2. Let n(f) = -319*f. Calculate s(n(l)).
-203522*l**2
Let v(y) = 232*y. Let t(z) = 2*z. Calculate v(t(f)).
464*f
Let w(a) be the third derivative of a**7/2520 - a**4/24 - a**2. Let t(y) be the second derivative of w(y). Let o(m) = -2*m + 31*m - 24*m. Calculate t(o(q)).
25*q**2
Let r(d) = 197*d. Let b(y) = -3*y**2. Give r(b(p)).
-591*p**2
Let y(n) be the first derivative of -n**6/72 - n**3 - 5. Let i(d) be the third derivative of y(d). Let k(b) = -b**2. Determine i(k(h)).
-5*h**4
Let s(w) = -66*w**2. Let m(y) = 4*y**2. Determine m(s(i)).
17424*i**4
Suppose 3*d + 4*l - 63 = 0, -5*l - 46 = -3*d - 10. Let n(z) = d - 17 + z**2. Let k(g) be the first derivative of g**2/2 + 2. Determine k(n(u)).
u**2
Let p(f) be the first derivative of f**4/12 - 3*f**2/2 - 3. Let r(u) be the second derivative of p(u). Let l(v) = 3*v. Determine r(l(i)).
6*i
Let i be (-14)/(-6) + 10/(-30). Let r(h) = 2*h**2 + 2*h**2 + 2*h**2 - 3*h**i. Let k(c) = -2*c. Give k(r(o)).
-6*o**2
Let n(m) = 2*m**2. Let i(v) = 17*v**2 - 17. Give i(n(q)).
68*q**4 - 17
Suppose -27 + 12 = -3*p. Let h(o) be the third derivative of 0*o**4 + 0 + 1/30*o**p + 0*o - 4*o**2 + 0*o**3. Let g(k) = 3*k. Give h(g(d)).
18*d**2
Let f(m) be the third d