8. Let r(k) be the first derivative of k**3 - 12. What is r(a(w))?
27*w**2 + 504*w + 2352
Let f(a) be the third derivative of 5*a**5/12 + 4*a**2 + 446. Let g(s) = -21*s + 9. Determine g(f(z)).
-525*z**2 + 9
Let g(l) = 230*l + 3 - 440*l + 212*l. Let u(k) = -23*k + 2. Calculate g(u(c)).
-46*c + 7
Let l(j) be the first derivative of -j**2 - 55*j + 2113. Let m(y) = 5 - 5 + 40*y - 38*y. Calculate l(m(v)).
-4*v - 55
Let l(z) = -z. Let h(i) = -3*i. Let v(a) = 4*h(a) - 14*l(a). Let q(r) be the third derivative of -r**4/6 + r**3/3 + 2444*r**2. Determine q(v(x)).
-8*x + 2
Let s(t) be the second derivative of -t**3/6 - 2*t. Let g(a) = 60*a - 1703 + 859 + 844. Calculate g(s(k)).
-60*k
Suppose -2*l + 4*f + f = -11, 0 = -3*l - 4*f + 5. Let w(a) = -25 + 25 - a + l*a. Let s(z) = -13*z**2. Determine s(w(d)).
-52*d**2
Let y(o) be the second derivative of -3*o**4/2 - o. Let j(z) = -194*z. Let w(q) = -427*q. Let c(d) = -11*j(d) + 5*w(d). Give c(y(i)).
18*i**2
Let d(p) be the third derivative of 39*p**5/20 - p**3/3 - 59*p**2 + 14*p + 2. Let u(m) = -5*m. Determine u(d(x)).
-585*x**2 + 10
Let t(n) = 6*n**2 - 2*n. Suppose 4 = -4*v - 4*w, 9 = -v - 5*w - 4. Let b(r) = 2*r**2 - r. Let j(f) = v*b(f) - t(f). Let o(p) = 169*p**2. Determine o(j(l)).
676*l**4
Let k(o) = -10275*o**2. Let s(f) = 3397*f. Determine k(s(n)).
-118569482475*n**2
Let b(k) = -14*k + 2. Let q(n) = -13*n + 2. Let l(c) = -b(c) + q(c). Let r(f) = -4*f + 4. Calculate l(r(g)).
-4*g + 4
Let q(i) = -137*i. Let m(y) be the second derivative of -7*y**4/4 - 561*y. Determine m(q(b)).
-394149*b**2
Let o(d) = -45*d**2 - d. Let v(m) = 18*m**2 + 15*m**2 + 12*m**2 - 41*m**2. Give v(o(p)).
8100*p**4 + 360*p**3 + 4*p**2
Suppose 0 = 3*c - 4*g - 28, 300*c - 5*g = 298*c + 28. Let d(h) be the second derivative of 0*h**3 - 5/6*h**c + 0 + 0*h**2 + 14*h. Let v(m) = 2*m. Give v(d(p)).
-20*p**2
Let s(w) = 137*w**2 - 291*w**2 + 155*w**2. Let p(d) = 252*d**2. Calculate p(s(n)).
252*n**4
Let r(y) = -2756 + 2756 - 46*y. Let f(t) = -12*t**2. Give f(r(o)).
-25392*o**2
Let t(q) = 2*q. Let k(w) be the second derivative of 1051*w**3/2 - 2671*w. Give t(k(h)).
6306*h
Let x(b) be the first derivative of -13*b**3/3 + 30*b**2 + 28. Let f(w) = -9*w**2 + 40*w. Let k(a) = 7*f(a) - 5*x(a). Let p(v) = 4*v**2. What is k(p(r))?
32*r**4 - 80*r**2
Let w(n) = -2*n. Let t(k) = -43297742*k. Calculate w(t(x)).
86595484*x
Suppose u = -u + 4*f + 46, 4*u - 127 = f. Let q = u - 32. Let v(b) = 3*b + 1 - q - 4*b. Let n(l) = -11*l**2. Determine v(n(x)).
11*x**2
Let b(g) = -1011*g**2 + g - 207. Let r(o) = 35*o**2. What is b(r(m))?
-1238475*m**4 + 35*m**2 - 207
Let a(u) = 659*u - 1 + 1 - 658*u. Let f(i) be the first derivative of 2 + 4*i**2 - 2*i**2 - 2*i**2 + i**2. Calculate f(a(c)).
2*c
Let z(x) = -4*x. Let i(o) = -218*o**2 - 327*o + 236*o - 472*o**2 + 91*o. Give z(i(d)).
2760*d**2
Let s(f) = -9*f**2. Let a(k) = 87*k**2 + 5*k. Let b(l) = -41*l**2 - 2*l. Let r(o) = 6*a(o) + 15*b(o). Give r(s(m)).
-7533*m**4
Let h(w) = -4. Let t(u) = 5*u + 28. Let g(z) = 14*h(z) + 2*t(z). Let f(n) = 17*n + 6. Determine f(g(p)).
170*p + 6
Let d(z) = z**2 + 3897. Let w(y) = -272*y. Determine w(d(h)).
-272*h**2 - 1059984
Let d(a) = a. Suppose 6 = 2*s - 0, -2*t + 4*s - 14 = 0. Let c be (-13 - t)*(-4)/12. Let i(h) = 11*h - c*h + 0*h. Determine d(i(x)).
7*x
Let l(c) be the first derivative of 3307*c**2/2 + 5015. Let y(b) = -2*b**2. Determine y(l(v)).
-21872498*v**2
Let h(r) = 8*r + 2. Let g(z) = -83272*z. Determine g(h(i)).
-666176*i - 166544
Let y(l) = -6*l**2 - 9*l**2 - 2*l**2. Let i(x) = 31*x + 8. Let k(b) = 85*b + 22. Let o(q) = 11*i(q) - 4*k(q). Calculate o(y(u)).
-17*u**2
Let u(i) = -127*i**2 - 7. Let r(g) = 65*g - 27. Let q(b) = 51*b - 21. Let x(y) = -9*q(y) + 7*r(y). Give x(u(n)).
508*n**2 + 28
Let w(b) = -2*b. Let r be 1 + -1 + (-10 - -37). Let j(s) = -76*s - 160*s + 32*s - r*s. Give w(j(n)).
462*n
Let s be (72/4 - -6) + 5 + -11. Let r(q) = 0 - 3*q - 45*q + s*q + 4. Let y(a) = 2*a. Calculate r(y(x)).
-60*x + 4
Let g(a) = 11*a. Let h(z) = -559409*z. What is h(g(p))?
-6153499*p
Let m(d) = -6*d**2. Let z(q) = -82079*q**2 - 3*q + 83. Calculate z(m(a)).
-2954844*a**4 + 18*a**2 + 83
Let i(n) = n**2. Let o(r) be the third derivative of 263*r**4/6 + 87*r**2 - 45*r. Give o(i(c)).
1052*c**2
Let o(x) = 8721886*x. Let s(h) = -21*h**2. Determine o(s(i)).
-183159606*i**2
Let s(g) = -245*g. Let r(f) = 7*f**2 + 5. Let b(p) = 8*p**2 + 6. Let c = 460 - 455. Let d(a) = c*b(a) - 6*r(a). Give s(d(u)).
490*u**2
Let f(v) = 373*v**2. Let l(n) = -12*n**2 - 80*n + 10. Let w(r) = 14*r**2 + 88*r - 11. Let y(g) = 11*l(g) + 10*w(g). Calculate f(y(t)).
23872*t**4
Let b(n) = 16*n - 26*n + 72*n - 34*n - 29*n. Let g(w) = -2*w - w + 6*w. Determine g(b(t)).
-3*t
Let i(w) = -6*w. Let a(h) be the third derivative of -h**8/4032 + h**5/10 - 2*h**3/3 - 5*h**2 + 5. Let s(n) be the third derivative of a(n). What is i(s(p))?
30*p**2
Let m = -350 - -368. Let j(i) = -17*i + 55*i - m*i - 18*i. Let v(x) = 16*x**2 + 3*x. What is j(v(s))?
32*s**2 + 6*s
Let w(b) = b**2 - 1155089. Let s(h) = h + 5. Give s(w(x)).
x**2 - 1155084
Let c(b) = 60*b + 60*b - 118*b. Let t(u) = -7*u. Let n(p) = 4*c(p) + t(p). Let x(s) = -84*s**2. Calculate n(x(i)).
-84*i**2
Let i(c) = c**2. Let n(k) = -4*k - 6. Let b(l) = 3*l**2 - l + 13. Let f be b(0). Let r(o) = 9*o + 13. Let w(p) = f*n(p) + 6*r(p). What is w(i(s))?
2*s**2
Let o(c) = -74*c**2. Suppose 0 = -7*k + 252 - 210. Let i(u) = -4. Let s(v) = -v - 12. Let q(m) = k*i(m) - 2*s(m). Determine q(o(y)).
-148*y**2
Let n(s) = s**2 + 3722 - 3722. Let t(l) = -220 + 104 + 2*l + 108. Give n(t(v)).
4*v**2 - 32*v + 64
Let r(a) be the second derivative of 167*a**3/6 - 352*a + 5. Let x(v) = 17*v. Give x(r(f)).
2839*f
Let p(d) = -84*d**2. Let g(o) = -1243*o. Let w(j) = 170*j. Let m(u) = 3*g(u) + 22*w(u). Give m(p(z)).
-924*z**2
Let t(d) be the second derivative of -d**4/2 + 3*d. Let n(b) = 16*b**2 + 76*b - 19. Let u(j) = 5*j**2 + 24*j - 6. Let w(l) = -6*n(l) + 19*u(l). Give w(t(f)).
-36*f**4
Let n(s) = -18*s**2. Let f(h) = 551*h + 102. Determine f(n(l)).
-9918*l**2 + 102
Let h(i) = -5*i + 1. Let l(d) = -41*d + 174*d - d**2 - 45*d - 44*d - 46*d. Calculate h(l(s)).
5*s**2 + 10*s + 1
Let u(o) = -411*o - 4 + 9 + 0 + 535*o. Let a(d) = -185*d - 8. Let r(b) = -5*a(b) - 8*u(b). Let z(p) = -2*p. Calculate r(z(j)).
134*j
Let n(z) be the third derivative of 7*z**4/8 + 4*z**2. Suppose -16*h + 5*h + 22 = 0. Let s(q) = 5*q**2 + 5*q**2 + 0*q**h - 11*q**2. Give s(n(w)).
-441*w**2
Let i be (1*(-1399)/(-4))/(2/24). Let t(v) = 1 + 4128*v**2 - 1 - i*v**2. Let w(z) = z**2. What is t(w(m))?
-69*m**4
Let n(w) = w. Let m(q) = -178 - 8*q + 9*q**2 + 116 + 2*q + 366 - 10*q**2. Determine m(n(l)).
-l**2 - 6*l + 304
Let b(r) = -441*r + 635. Let y(h) = -h + 3. Calculate b(y(u)).
441*u - 688
Let k(j) = 510*j. Let z(y) = -27*y + 0*y + 3 + 16*y - 3. Calculate k(z(c)).
-5610*c
Let d(m) = 70*m**2 + 1. Let b(o) be the first derivative of 2/3*o**3 + 0*o - 3 + 0*o**2. Calculate d(b(l)).
280*l**4 + 1
Let b(n) = 3314 - 14*n**2 + 3290 - 6604. Let y(s) = 765*s**2. Determine y(b(f)).
149940*f**4
Let r(z) = 0*z - 2*z - 3*z. Let u(m) = 3*m + 8. Let h = -265 - -280. Let k(o) = 12*o + 30. Let a(l) = h*u(l) - 4*k(l). What is a(r(b))?
15*b
Let d(a) = 2*a - 4. Let x(b) = -3*b + 9. Let r(q) = 9*d(q) + 4*x(q). Let l(i) be the third derivative of 43*i**4/24 - i**2 - 16*i. What is l(r(w))?
258*w
Let m(b) = 45*b - 1. Let i(q) = 27*q**2 + 13*q - 14. Let s be i(1). Let o(y) = s*y**2 - 57*y**2 + 33*y**2. What is m(o(a))?
90*a**2 - 1
Let o(c) = -c. Let g(i) = 1395*i**2 + 399*i**2 + 130*i**2 + 2376*i**2 - 737*i**2. What is o(g(f))?
-3563*f**2
Let c(g) = -2*g. Let i(o) = -2543741*o. Determine c(i(v)).
5087482*v
Let f(c) = c**2 + 18*c. Let t(s) = 1012*s - 30. Determine f(t(g)).
1024144*g**2 - 42504*g + 360
Suppose 2 = -z, -4*z = -4*x + z + 18. Let d(s) = s + x*s + 0*s. Let g(q) be the first derivative of 2*q**2 + 13554. Give g(d(y)).
12*y
Let z(q) = 24*q + 38. Let x(k) = 2142*k. What is z(x(i))?
51408*i + 38
Let u(c) = -58471*c + 2. Let k(g) = -12*g - 5. Determine k(u(h)).
701652*h - 29
Let t(j) be the second derivative of j**3/6 - 4327*j. Suppose 2*n - 12 = p - 2*p, 3*p - 3*n = 0. Let f(b) = -p*b**2 + 2*b**2 - 4*b**2. Determine t(f(h)).
-6*h**2
Let s(l) = -l**2. Let g