 40. Let b(y) be the third derivative of y**5/30 - y**2 + 53. Calculate b(t(f)).
72*f**2 + 960*f + 3200
Let u(r) = -719 - 2*r**2 + 719. Let t(x) = 23 + 33*x - 23. What is u(t(w))?
-2178*w**2
Suppose 0 = -5*k + 4*h + h + 30, -11 = -2*k + h. Let v(b) = b**2 - 4*b. Let f(m) = 2*m**2 - 5*m. Let o(l) = k*v(l) - 4*f(l). Let a(u) = -8*u. Calculate a(o(d)).
24*d**2
Let o(g) = -g. Let d(a) = -7*a**2 - 1893*a. Calculate o(d(x)).
7*x**2 + 1893*x
Let j(c) = 3*c - 4. Let l(k) = -16*k + 21. Let t(m) = 11*j(m) + 2*l(m). Let b(x) = -x**2. Determine t(b(u)).
-u**2 - 2
Let p(g) = 7*g**2. Let z(f) = -1915*f + 3796*f - 1925*f. Give p(z(t)).
13552*t**2
Let f(h) be the third derivative of -h**6/180 - 2*h**3 + h**2. Let m(k) be the first derivative of f(k). Let g(p) = -3*p**2 + 11*p - 11*p. Calculate m(g(v)).
-18*v**4
Let l(s) be the second derivative of -s**4/4 + s. Let r be (-206)/4*(1 + 10/(-2)). Let a(p) = 206 - r - 3*p. Give a(l(b)).
9*b**2
Let j(w) = w**2. Let u(k) be the second derivative of 4*k**3/3 + 168*k. What is u(j(r))?
8*r**2
Let o(x) = -9*x - 3. Let q(k) = 323*k**2. Calculate o(q(w)).
-2907*w**2 - 3
Let p(y) = 2*y. Let o(s) = 2*s - 16. Let g be o(14). Let n(d) = g*d + d - 4*d. What is p(n(w))?
18*w
Let f(d) = 22*d**2. Let l(n) = 55853*n. What is l(f(m))?
1228766*m**2
Let n(u) = u. Let l(w) = 11*w**2 + 2*w - 2. Let m(z) = -7 + 155*z**2 - 12 + 21*z**2 + 33*z - 14. Let x(s) = 33*l(s) - 2*m(s). Give x(n(o)).
11*o**2
Let i(o) = 3*o**2. Let n(a) = 157606*a**2. Give n(i(t)).
1418454*t**4
Let c(t) = -64*t. Let a(v) = -21*v. Let i(k) = -9*k. Let d(h) = 5*a(h) - 12*i(h). Calculate d(c(z)).
-192*z
Let s(w) = -159*w**2. Let k(m) = -1989*m. Determine s(k(d)).
-629023239*d**2
Let n(w) = -20*w. Let i(q) = -2*q. Let x(v) = 22*i(v) - 2*n(v). Let o(y) = 2*y - 53. Determine o(x(s)).
-8*s - 53
Let r(a) = -6*a. Let f(t) be the second derivative of 89*t**4/6 + 314*t - 2. Calculate f(r(u)).
6408*u**2
Let j(x) = -3 - 1860*x + 3 + 1861*x. Let u(y) be the second derivative of y**4/12 - y. Calculate u(j(i)).
i**2
Let p(v) = -1970*v - 6. Let r(c) = c. Calculate r(p(o)).
-1970*o - 6
Let a(b) = 7*b - 3. Let p(m) = -9*m. Let c(y) = -3*a(y) - 2*p(y). Let i(d) = 6*d**2. Determine c(i(w)).
-18*w**2 + 9
Let v = 25 - 30. Let c = 16 + v. Let r(h) = -12*h + h - c*h. Let l(g) = -2*g. Determine r(l(w)).
44*w
Suppose 0 = 6*z + 2 + 4. Let y(a) = -a**2. Let k(j) = -8*j**2. Let i(q) = z*k(q) + 3*y(q). Let p(n) = -6*n**2. Calculate p(i(b)).
-150*b**4
Let f(s) be the third derivative of -s**4/24 - s**2. Suppose 0 = y + a + 3*a + 9, -2*a = -4*y + 18. Let c(w) = -y + w + 3 + w. What is f(c(h))?
-2*h
Let w(h) be the first derivative of 11*h**6/120 - 4*h**3 - 24. Let y(l) be the third derivative of w(l). Let r(s) = -2*s. Calculate y(r(a)).
132*a**2
Let u(y) be the first derivative of -25*y**3/3 + 72. Let w(h) = h**2. Determine u(w(f)).
-25*f**4
Let n(t) be the third derivative of -t**5/15 - 21*t**2 - 1. Let g(s) = 15*s. Calculate g(n(x)).
-60*x**2
Let y(j) = -8119*j. Let r(u) = -u**2. Calculate r(y(a)).
-65918161*a**2
Let v(b) = -2*b. Let d(h) = h**2 - 5985*h + 36. Determine v(d(y)).
-2*y**2 + 11970*y - 72
Let r(o) = -5*o - 15. Let m(s) = -4*s - 9. Let p(x) = 5*m(x) - 3*r(x). Let y(l) = -42*l. Calculate y(p(z)).
210*z
Let g(l) = -207 - 211 + l**2 + 418. Let r(h) = 441*h**2. What is g(r(q))?
194481*q**4
Let n(q) be the first derivative of -5*q**2/2 - 81. Let v(h) = 16*h. Determine v(n(y)).
-80*y
Let v(s) = -2*s**2. Let r(c) be the third derivative of -c**5/15 + 5*c**3/3 + 390*c**2. Determine r(v(p)).
-16*p**4 + 10
Let j(r) be the first derivative of -2*r**3/3 - 1. Let g(x) = 6*x. Let l(k) = k. Suppose 4 = -3*q - 14. Let z(w) = q*g(w) + 33*l(w). What is z(j(u))?
6*u**2
Let h(g) be the second derivative of 0*g**2 + 0 + g - 3/2*g**3. Let d(a) = a**2 - 3*a**2 - 140 + 140. What is d(h(t))?
-162*t**2
Let r(a) = -a**3 + a**2 + 11*a + 6. Let t be r(4). Let k(v) be the second derivative of 0 + 0*v**t - 6*v + 1/3*v**3. Let c(f) = -f**2. Give c(k(o)).
-4*o**2
Let o(l) = -2*l**2. Let a(u) = 638237*u. Calculate a(o(c)).
-1276474*c**2
Let x(r) be the first derivative of r**3/3 - 287. Let b(t) = -936*t. What is b(x(j))?
-936*j**2
Let b(g) be the first derivative of -g**5/8 - 7*g**3/3 - 5. Let w(z) be the third derivative of b(z). Let q(h) = 2*h**2. Give q(w(l)).
450*l**2
Let t(r) = -23309*r - 10. Let y(b) = b. What is y(t(u))?
-23309*u - 10
Let t(j) be the first derivative of j**6/180 - 2*j**3 - 4. Let c(l) be the third derivative of t(l). Let o(q) = -3*q. What is c(o(k))?
18*k**2
Let v(z) be the first derivative of 2*z**2 + 212. Let d(u) = -21*u**2 + 4. Let y(w) = 22*w**2 - 3. Let l(c) = 3*d(c) + 4*y(c). Give l(v(o)).
400*o**2
Let y(o) be the third derivative of o**4/24 - 12*o**2 - 4. Let n(b) = 285*b. Calculate n(y(s)).
285*s
Let q(s) = 7*s. Let v(t) = 6273*t. Calculate v(q(l)).
43911*l
Let z(t) = 3876*t**2. Let m(a) = 71*a. Give z(m(j)).
19538916*j**2
Let q(v) = -3*v. Let r(d) be the first derivative of -3 + 10*d**3 - 28*d**3 + 13*d**3 + 4*d**3. What is q(r(n))?
9*n**2
Let a(o) = 3*o**2 + 30. Let j(x) = 3 - 5 - 6 - 2*x + 8. What is j(a(s))?
-6*s**2 - 60
Let h(p) = 27875*p**2. Let r(k) = -3*k**2. Give h(r(j)).
250875*j**4
Let d(g) = -38*g**2. Let y(f) be the first derivative of -5*f**3/3 - 244. Give d(y(m)).
-950*m**4
Let b(z) = 3*z + 135. Let a(n) = 421*n**2. Determine a(b(g)).
3789*g**2 + 341010*g + 7672725
Let i(m) = 26*m. Let d(s) = 3346*s. What is d(i(u))?
86996*u
Let o(x) = 400 + 21*x - 400. Let v(f) = -3*f**2 + f**2 + 4*f**2. Give o(v(y)).
42*y**2
Let i(p) = -27*p**2. Let n(l) = 7*l**2 - 10*l. Let c(k) = 5*k**2 - 8*k. Let g(m) = -5*c(m) + 4*n(m). What is g(i(r))?
2187*r**4
Let m(r) = 5*r**2. Let w(z) be the third derivative of -z**7/1260 + 11*z**4/24 + 10*z**2. Let x(q) be the second derivative of w(q). Calculate x(m(f)).
-50*f**4
Let l(i) = 52*i**2. Let t(b) be the first derivative of -2*b**3 - 249. Calculate l(t(m)).
1872*m**4
Let o(i) = -42217*i. Let a(m) = 3*m - 17. Calculate a(o(j)).
-126651*j - 17
Let d(o) = -51*o. Let b(i) = -11*i + 2*i + 8*i - 3*i. Determine d(b(m)).
204*m
Suppose -2*d - 6 = -5*y, -2*d + 1 = y - 5. Let l(n) = n + d*n + n. Let o(j) = -3*j. Give o(l(f)).
-12*f
Let t(r) = -14*r + 3. Let u(q) = -358*q**2 + q. Determine u(t(a)).
-70168*a**2 + 30058*a - 3219
Let j(i) be the third derivative of i**4/8 + 286*i**2. Suppose -2*z - 4*k = 10, -4*z - 4*k - 7 + 3 = 0. Let m(a) = 0*a - z*a + a. Determine j(m(u)).
-6*u
Let h(t) = -2*t. Let w(v) = 2296*v + 205. Let d(i) = 108*i + 11. Let j be d(-2). Let c(b) = -45*b - 4. Let n(r) = j*c(r) - 4*w(r). Determine h(n(k)).
-82*k
Let l(s) = -191*s. Let a(z) = -z**2 - 1. Let q(x) = -5*x**2 - 3. Let c(j) = 3*a(j) - q(j). Give c(l(f)).
72962*f**2
Let w(d) = -102*d. Let k(n) = 1270*n**2. What is w(k(y))?
-129540*y**2
Let z(y) = -3*y. Let i(k) be the first derivative of -117*k**2/2 - 61. Calculate i(z(p)).
351*p
Let a(v) be the first derivative of -5*v**3 + 2. Let g = -55 - -59. Let s(h) = -6*h - 4 + g + 8*h. Calculate a(s(j)).
-60*j**2
Let l(j) = 4025*j + 1. Let o(i) = -2*i**2. What is l(o(q))?
-8050*q**2 + 1
Let f(d) = d**2. Suppose 336 + 508 = 4*j. Let i(x) = -211 - 72*x**2 + j. What is i(f(c))?
-72*c**4
Let k(u) = u + 11. Let f be k(-6). Let q(p) = 3*p + f*p - 9*p. Let x(a) = -8*a**2. What is x(q(g))?
-8*g**2
Let d(a) = 149*a**2 - 308*a**2 + 156*a**2. Let l(b) = -87*b. What is l(d(o))?
261*o**2
Let h(c) = -74*c**2. Let d(n) = -186*n + 2. Calculate h(d(i)).
-2560104*i**2 + 55056*i - 296
Let v(i) = -3*i**2. Let x(l) be the first derivative of 71*l**2/2 + 895. What is x(v(a))?
-213*a**2
Let m(s) = -2*s**2. Suppose -a - 4 = -8. Let n(g) = -7*g**2 + 4*g. Let p(o) = -o**2 - o. Let j(h) = a*p(h) + n(h). Give j(m(x)).
-44*x**4
Let x(h) = 628028*h**2 + h. Let c(v) = 5*v**2. Give x(c(o)).
15700700*o**4 + 5*o**2
Let d(l) = -l**2. Suppose 5*s - 4*u = 40, -2*s = 3*u + 13 - 52. Let b(i) = -s*i**2 - 21*i - 12*i + 33*i. Give d(b(f)).
-144*f**4
Suppose -2*w - 8 = -6*w. Let s(o) = w*o + 631 - 631. Let h(m) = 6*m**2. Calculate s(h(j)).
12*j**2
Let q be (-2)/(-11) + (-12)/66. Suppose q = -0*n + 5*n - 15. Let v(c) = 3 + c - n - 2*c. Let b(j) = -7*j. Give v(b(t)).
7*t
Let u(z) = 6*z. Let p(j) = -341*j. Let m(x) = 22*x. Let s(o) = -77*m(o) - 5*p(o). Calculate u(s(b)).
66*b
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