43. What is s(u(n))?
-80*n
Let c be ((-2)/5)/(((-6)/60)/1). Let u(w) = 3*w**2 - 5*w + 9*w - c*w. Let i(o) be the third derivative of -o**5/20 - o**2. What is i(u(l))?
-27*l**4
Let v(n) = -n + 2*n - 2*n. Let o(k) = -206*k + 612*k + 32*k**2 - 205*k - 201*k. Calculate o(v(l)).
32*l**2
Let d(w) = -14*w**2 + 2*w - 6. Let n(k) = 38*k**2. Give d(n(v)).
-20216*v**4 + 76*v**2 - 6
Let b(r) = r. Let u(j) be the second derivative of 10*j**3/3 - j**2/2 - 24*j - 2. Determine u(b(t)).
20*t - 1
Let t(j) be the second derivative of -1/3*j**3 + 19*j + 0*j**2 + 0. Let m(u) be the first derivative of 3*u**2 - 1. What is t(m(v))?
-12*v
Let c(l) be the second derivative of 0*l**2 + 0 + 5/12*l**4 + 12*l + 0*l**3. Let z(r) be the second derivative of r**3/6 - r. Calculate c(z(k)).
5*k**2
Let l(i) be the first derivative of -i**4/6 + 34*i + 6. Let x(b) be the first derivative of l(b). Let y(k) = 17*k. Give y(x(j)).
-34*j**2
Let i(z) = -359*z**2. Let c(q) = 43*q. Calculate c(i(t)).
-15437*t**2
Let w(d) = 2*d. Let r(j) = -31*j**2 + 40*j**2 + 88*j**2 - 7*j**2. Calculate r(w(n)).
360*n**2
Let t(z) = 2640*z**2 - 121*z - 605. Let f(v) = -88*v**2 + 4*v + 20. Let n(b) = 121*f(b) + 4*t(b). Let j(h) = 2*h**2. Give j(n(o)).
15488*o**4
Suppose -3*o + 2 = -4. Let p be o/(-2) - (0 + -4). Let h(q) = 5*q + q - p*q + 0*q. Let t(x) = x. Give h(t(a)).
3*a
Let d = -9 + 22. Let q(y) = 6*y**2 - d*y**2 + 8*y**2. Let k(z) = -5*z - 6*z + 10*z. What is q(k(j))?
j**2
Let d(o) = 80*o. Let k(z) = 2*z - 1. Let g(p) = -22*p + 10. Let s(y) = -g(y) - 10*k(y). Give s(d(m)).
160*m
Let r = 15 - 14. Suppose -m = l - r, 2*m + l = 4 + 3. Let z(c) = -m*c + 9*c - c. Let s(t) = t. Calculate z(s(y)).
2*y
Let k(b) = -b. Let o(a) = 7*a - 2029. Give k(o(g)).
-7*g + 2029
Let c(y) = 3*y - y - y - 3*y. Let j(l) = -17*l**2. Determine c(j(i)).
34*i**2
Let d(u) = 233916*u**2. Let a(f) = f**2. Determine a(d(o)).
54716695056*o**4
Let v(g) = -2*g**2 - 4*g**2 + 2*g**2. Let z(w) be the first derivative of 4*w**3 + 875. What is v(z(i))?
-576*i**4
Let l(k) = 10*k - 9. Let i(p) be the second derivative of -p**4/12 - 33*p. Determine i(l(o)).
-100*o**2 + 180*o - 81
Let b(c) be the third derivative of -53*c**4/24 - 145*c**2. Let q(a) = -a. Determine b(q(t)).
53*t
Let g(l) = -4*l - 37. Let f(r) be the second derivative of -r**4/6 - 184*r. Give f(g(n)).
-32*n**2 - 592*n - 2738
Let g(m) = 11*m. Let c(p) = -3112*p**2. What is g(c(v))?
-34232*v**2
Let d = -16 - -31. Let j(w) = 28*w - d*w - 14*w. Let i(g) = 24*g**2. What is j(i(f))?
-24*f**2
Let r(w) = 21*w. Let g(m) be the third derivative of 0*m + 35*m**2 + 1/8*m**4 + 0*m**3 + 0. Calculate g(r(f)).
63*f
Let g(p) = 9709*p**2 + 10. Let w(d) = -4*d. What is w(g(b))?
-38836*b**2 - 40
Let r(f) = f**2. Let b(q) = -52*q + 52*q + 12*q**2. Calculate r(b(o)).
144*o**4
Let c(m) = 2*m**2 - 60. Let j(t) = 14*t. Give c(j(f)).
392*f**2 - 60
Let f(l) = l**2. Let x = -271/24 - -34/3. Let p(u) be the third derivative of 2*u**2 + 0*u**3 + 0*u + 0 + x*u**4. Calculate p(f(h)).
h**2
Let f(r) = -7767*r. Let t(v) = -46*v**2 + v. Give f(t(k)).
357282*k**2 - 7767*k
Let z(h) = -147896*h**2. Let p(j) = 2*j**2. Calculate z(p(q)).
-591584*q**4
Let t(b) = 5*b**2. Let u(o) = o**2 + 3. Let j be u(0). Let i(h) = 3*h - j*h + 3*h**2 - h**2. Determine i(t(c)).
50*c**4
Let z(o) = 2*o. Let k(j) be the first derivative of -13*j**4/12 + 3*j**2 + 7. Let x(g) be the second derivative of k(g). Calculate z(x(r)).
-52*r
Let y(f) = -f - 2*f + 0*f. Let q(b) = -311*b**2 + 106*b**2 + 207*b**2. Calculate q(y(t)).
18*t**2
Let k(z) = -5*z**2 - 2. Let s(u) = -11*u + 3. Let g(j) = 4*j - 1. Let q(t) = -3*g(t) - s(t). Give q(k(y)).
5*y**2 + 2
Let w(i) = -11*i + 41. Let t(k) = -6*k**2 + 4*k. What is t(w(c))?
-726*c**2 + 5368*c - 9922
Let i(y) be the third derivative of -3*y**5/10 - 13*y**2. Let p(h) = -2*h - 3. Let m(c) = 7*c + 12. Let w(r) = -3*m(r) - 12*p(r). What is w(i(o))?
-54*o**2
Let u(a) = -3*a**2 - 2. Let w be 4*(-1)/(1 + 1). Let o(d) = -6 - 4*d**2 - 1 - 6*d**2. Let f(l) = w*o(l) + 7*u(l). Let j(b) = 15*b**2. Give f(j(k)).
-225*k**4
Suppose -2*i - 29 = -4*i - 5*a, 0 = 5*i + 2*a - 20. Let o(r) = 2*r**i + 4*r - 5*r**2 - 4*r. Let w(m) = -18*m**2. Calculate w(o(j)).
-162*j**4
Let j(s) = 5*s. Let f(c) = -3543*c - 41. Give j(f(g)).
-17715*g - 205
Suppose -4 + 0 = -2*z. Suppose -5*l + 6 = -2*l. Let n(c) = 8*c**l - c**2 - 11*c**z. Let g(h) = 3*h**2. Determine n(g(j)).
-36*j**4
Let l(w) = -1. Let y(q) = q**2 - 6. Let o(r) = -6*l(r) + y(r). Let s(v) = -2*v - 1. Calculate s(o(c)).
-2*c**2 - 1
Let t(n) = -547329*n. Let c(b) = -2*b**2. Calculate c(t(q)).
-599138068482*q**2
Let s(x) = 2*x**2 + x**2 + 8*x**2 - 12*x**2. Let o(u) = -18*u**2 + 34*u**2 + 17*u**2. Determine s(o(v)).
-1089*v**4
Let z(w) = -12*w. Let p(o) = o - 2. Suppose 2*x + 3*y = 2, x = -4*y + 3*y + 2. Let r be p(x). Let k(j) = 20 - 20 - j**r. Calculate z(k(u)).
12*u**2
Let t(y) = -12*y**2. Let v(w) = 678*w - 11*w**2 - 678*w. What is v(t(m))?
-1584*m**4
Let p(u) = 4*u. Suppose 3*v - 2*f - 10 = 0, 0 = -4*v + 3*v - f + 5. Let t be ((-39)/v)/(4/(-32)). Let y(b) = -78*b - b**2 + t*b. What is y(p(r))?
-16*r**2
Let w(r) = -6 + 6 + r. Suppose -36 = 3*x + 3*t, -3*x + 0*t + 5*t - 36 = 0. Let b(a) = -10*a**2 + 12*a. Let v(d) = -d. Let g(z) = x*v(z) - b(z). What is w(g(u))?
10*u**2
Let p(y) be the second derivative of 0 - 39*y + 0*y**2 + 0*y**3 - 1/4*y**4. Let r(t) = -t. What is r(p(o))?
3*o**2
Let q(i) = -1821*i. Let w(k) = -12*k. Calculate q(w(a)).
21852*a
Let k(m) = m**2. Let p(u) = 5 + 32*u**2 - 93*u**2 + 0 - 5. Determine p(k(o)).
-61*o**4
Let b(m) = -3*m - 2. Let n(q) = -15*q - 11. Let h(u) = -22*b(u) + 4*n(u). Suppose 6*y = y + 60. Let p(z) = 8*z - 19 - y*z + 19. Give p(h(x)).
-24*x
Let d(z) = 2*z**2 + 150. Let y(t) = -11153*t. Give d(y(c)).
248778818*c**2 + 150
Let c(n) = 39292*n. Let t(x) = -x**2 - 5. What is t(c(u))?
-1543861264*u**2 - 5
Let n(h) = 15*h - 13. Let y(q) = 58*q. Calculate n(y(w)).
870*w - 13
Let l(u) = -u + 45 - 17 - 15 - 13. Let z(n) = 4*n + 2. Calculate l(z(o)).
-4*o - 2
Let i(c) = -28*c - 15. Let f(n) = 342*n. Determine i(f(z)).
-9576*z - 15
Let v(r) = -r**2. Let i(g) = 141*g**2 - 47*g. Determine i(v(w)).
141*w**4 + 47*w**2
Let x(s) be the third derivative of s**7/840 + s**4/6 - 15*s**2. Let r(p) be the second derivative of x(p). Let i(o) = 3*o**2 + o**2 - 2*o**2. Give i(r(y)).
18*y**4
Let j(c) = -c + 4*c - 2*c. Let k(y) = 3. Let v(f) = -f + 18. Let q(g) = 6*k(g) - v(g). Determine j(q(b)).
b
Let q(t) be the third derivative of 41*t**4/3 - 34*t**2. Let o(a) = -a. Give q(o(d)).
-328*d
Let g(t) = 1435*t + 2*t**2 - 477*t - 477*t - 481*t. Suppose -2*a + 7 = 1. Let z(j) = -12*j - 3 + a. Give z(g(i)).
-24*i**2
Let y(o) = -2*o - 3*o + 8*o - o. Let t(i) = -8*i + 8*i - 5*i**2 + 25*i**2. Calculate t(y(n)).
80*n**2
Let o(u) be the first derivative of u**2 + 26*u - 2. Let h(l) = 16*l + 2*l + 8*l - 27*l. Determine o(h(y)).
-2*y + 26
Let i(c) = -3*c. Let n(o) = 52*o + 293. Determine n(i(g)).
-156*g + 293
Let d(y) = -55*y. Let u(s) = 2613*s**2. Give d(u(z)).
-143715*z**2
Let h(q) = -73*q**2 - 2. Let b(o) be the third derivative of o**5/60 - 197*o**2 + 2*o. What is h(b(t))?
-73*t**4 - 2
Let q(c) = c. Let h(y) = 683*y - 555. What is q(h(n))?
683*n - 555
Let r(z) be the third derivative of 6*z**2 + 1/60*z**5 + 0*z**3 + 0 + 0*z - 5/12*z**4. Let x(n) = 2*n**2. Determine x(r(v)).
2*v**4 - 40*v**3 + 200*v**2
Let w(s) = -s**2 + 2*s. Let u(t) = -12*t - 576. Give u(w(x)).
12*x**2 - 24*x - 576
Let a(z) be the first derivative of -11*z**2/2 + 1. Let b(i) = 668*i - 1262*i + 588*i. Determine b(a(g)).
66*g
Let b(y) = -4*y - 6. Let p(s) = 8*s**2 - 9*s + 9. Let g(c) = c**2 - c + 1. Let m(q) = 18*g(q) - 2*p(q). Determine m(b(o)).
32*o**2 + 96*o + 72
Let c(j) = -110*j. Let r(k) = 37*k. Let i(a) = -3*c(a) - 10*r(a). Let m(o) = 498*o**2 - 1 - 497*o**2 + 1. Calculate m(i(f)).
1600*f**2
Let c(b) be the third derivative of b**5/20 - 25*b**2. Let m(n) = -9*n**2. Give m(c(y)).
-81*y**4
Let n(b) = -3*b + 5. Let u(h) = 5*h - 7. Let o(d) = 7*n(d) + 5*u(d). Let y(p) = 22*p - 12. Let v(c) = 9*c - 5. Let k(a) = -12*v(a) + 5*y(a). Give o(k(j)).
8*j
Let n(h) = h**2. Let c(k) = 147*k**2 + 2. Let o(i) = -i**2 - 1. Let q(p) = c(p) + 2*o(p). What is n(q(g))?
21025*g**4
Let b(d) = -536*d - 2. Let k(y) = -1707*y. Calc