- 8*a. Let c(x) = -31*x**2 + 5*x. Let k(u) = -8*c(u) - 5*g(u). Let p(t) be the first derivative of t**2 + 6. What is k(p(s))?
52*s**2
Let x(b) = -5*b**2. Let u(r) be the third derivative of r**7/168 - 10*r**4/3 - 125*r**2. Let w(j) be the second derivative of u(j). What is w(x(h))?
375*h**4
Let s(g) = -508*g**2 - 462*g**2 + 980*g**2. Let q(w) = 818*w**2. Calculate q(s(m)).
81800*m**4
Let b(f) be the third derivative of -f**4/24 - 2*f**2. Let p(v) be the third derivative of 11/30*v**5 + 0*v + 35*v**2 + 0*v**4 + 0 + 0*v**3. What is p(b(a))?
22*a**2
Let v(b) be the first derivative of 7*b**2/2 + 15*b + 113218. Let d(k) be the second derivative of -k**3/6 - k. Give d(v(z)).
-7*z - 15
Let k(r) = 3294*r**2. Let b(u) = 100885*u. Give k(b(a)).
33525617943150*a**2
Let q(r) = -871*r**2. Let s(o) be the second derivative of -o**3/2 - 8188*o. What is s(q(h))?
2613*h**2
Let m(r) = -113 - 58*r**2 + 56*r**2 + 113. Let v(z) = 11*z**2 - 8. Give m(v(y)).
-242*y**4 + 352*y**2 - 128
Let f(b) = 8*b. Let q(l) be the second derivative of 4 + 2/3*l**3 - 14*l + 0*l**2. Determine q(f(n)).
32*n
Let k(v) be the third derivative of -5/12*v**4 + 0 + 0*v**3 + 0*v + 216*v**2. Let g(o) = -32*o. Give g(k(x)).
320*x
Let o(x) = 13*x - 10. Let d(m) = -7*m**2 + 11*m + 149. What is o(d(g))?
-91*g**2 + 143*g + 1927
Let u(y) = -4*y + 1502. Let r(f) = -200*f**2 - 194*f**2 + 776*f**2 - 190*f**2 - 193*f**2. What is r(u(z))?
-16*z**2 + 12016*z - 2256004
Let o(a) = 2*a**2 - 2*a. Suppose 22*n - 11312 = 6*n. Let i(l) = n - 707 + 2*l**2. Give o(i(z)).
8*z**4 - 4*z**2
Let n(d) be the third derivative of 0 + 0*d**4 + 96*d**2 + 0*d + 1/30*d**5 + 0*d**3. Let x(b) = -b - 30. What is n(x(m))?
2*m**2 + 120*m + 1800
Let i = -5269 - -5269. Let t(r) be the first derivative of i*r + 3/2*r**2 - 12. Let m(a) = a**2. Give t(m(n)).
3*n**2
Let w(r) = r. Let a(s) be the first derivative of -1/2*s**2 + 127 - 58*s. Give w(a(p)).
-p - 58
Let p(m) = -m**2. Let s = 778 - 741. Let o(c) = -s*c + 225*c**2 + 37*c. Give o(p(f)).
225*f**4
Let g(n) = -20*n**2 + 13*n + 91. Let k(u) = -3*u**2 + 2*u + 14. Let v(o) = 4*g(o) - 26*k(o). Let j(q) = 2384*q**2. Give j(v(w)).
9536*w**4
Let k(h) = -23*h**2. Let v(l) be the first derivative of -3*l**4/8 + 141*l**2/2 + 68. Let q(s) be the second derivative of v(s). What is q(k(a))?
207*a**2
Let u(y) = 8*y. Let o(n) = 4*n - 26032. Determine u(o(x)).
32*x - 208256
Let b(d) = -11124*d**2. Let m(q) = 1117*q. What is b(m(r))?
-13879292436*r**2
Let f(z) = 338*z**2 + 50*z - 5. Let n(l) = -3381*l**2 - 490*l + 49. Let r(k) = 98*f(k) + 10*n(k). Let d(h) = -3*h. What is d(r(v))?
2058*v**2
Let x(g) = -6*g**2 - g**2 + 579 - 313 - 266. Let m(v) be the first derivative of -10*v**3/3 - 4. Calculate m(x(y)).
-490*y**4
Let d(a) = -2*a**2 + 331353*a. Let j(x) = 14*x**2. What is d(j(n))?
-392*n**4 + 4638942*n**2
Let p(d) = d - 42*d**2 + 90*d**2 - 45*d**2 - d. Let v(r) = -78*r. Let x(z) = -11*z. Let i be 12*1/((-8)/(-20)). Let k(f) = i*x(f) - 4*v(f). What is k(p(a))?
-54*a**2
Let y(v) = -124*v + 53451. Let l(r) = 35*r. What is y(l(d))?
-4340*d + 53451
Let k(v) = 113*v. Let u(q) = -13*q + 10. Let o(x) = -16*x + 12. Let z(d) = -5*o(d) + 6*u(d). What is k(z(l))?
226*l
Let n(h) = 1909*h - 3. Let j(k) = 1545*k. What is j(n(d))?
2949405*d - 4635
Let m(a) = -9*a - 18. Let g(l) = 42*l - 635. Determine g(m(f)).
-378*f - 1391
Let j(c) = -43*c - 3. Let g(f) = 15*f**2 - 4*f - 44. Determine g(j(i)).
27735*i**2 + 4042*i + 103
Let p(j) = 2*j. Let o(c) be the second derivative of 31/2*c**2 - 1/3*c**3 + 0 - 14*c. Give o(p(h)).
-4*h + 31
Let h(i) = 3080*i + 1. Let f(o) = 81*o - 164*o + 85*o. Calculate f(h(w)).
6160*w + 2
Let f be (-10)/(-6) + 4/12. Let s(z) = -3*z**2 + 4*z**2 + z**f. Let h(j) = 1022*j**2 + 1003*j**2 - 2013*j**2. Give h(s(l)).
48*l**4
Let i(k) = -2*k. Let q(h) = 4*h**2 + h - 117273. Calculate q(i(m)).
16*m**2 - 2*m - 117273
Let k(t) = -8*t**2. Let u(d) = -30994106*d. Determine k(u(o)).
-7685076853913888*o**2
Let t(l) = 29*l**2. Let b = -14002 - -14019. Let u(s) be the second derivative of -b*s + 0*s**2 + 0*s**3 + 1/12*s**4 + 0. What is u(t(p))?
841*p**4
Let o(h) = -17*h. Let c(k) be the second derivative of 23*k**3/3 - 450*k. Determine o(c(z)).
-782*z
Let j(h) = h + 116. Let f(l) = -1651*l**2. Determine j(f(b)).
-1651*b**2 + 116
Let r(n) = 31*n**2. Let c(q) = -7917728*q**2. What is r(c(t))?
1943402917141504*t**4
Let i(t) be the third derivative of 0 + 17*t**2 - 1/30*t**5 + 0*t**3 + 0*t**4 + 0*t. Let r(u) = -75*u + 75*u + 3*u**2. Determine r(i(f)).
12*f**4
Let w(c) be the third derivative of c**4/3 - 934*c**2. Let u(p) = 12*p**2 - 3*p. Calculate w(u(k)).
96*k**2 - 24*k
Let v(d) = 2877*d + 8. Let u(p) = -2*p**2. Calculate u(v(q)).
-16554258*q**2 - 92064*q - 128
Let k(r) = -8*r**2. Let c(i) = -5467*i - 38. Give c(k(z)).
43736*z**2 - 38
Let k(d) = 5365*d**2. Let q(i) = i**2 + 5816618 - 5816618. Calculate k(q(p)).
5365*p**4
Let r(x) = -57*x**2. Let u(f) be the second derivative of -2*f + 1/3*f**3 - 13 + 0*f**2. Calculate r(u(m)).
-228*m**2
Let s(a) = a - 2. Let c(b) = 44*b - 110. Let t(n) = -c(n) + 55*s(n). Let z(r) = -2 + 84*r**2 + 2 - 89*r**2. Calculate z(t(g)).
-605*g**2
Let f(v) = 1086*v**2 - 2572*v**2 + 1134*v**2. Let q(n) = -2*n**2. Give q(f(x)).
-247808*x**4
Let h(r) = 233*r - 234*r - 4 + 4. Let q(u) = 2*u**2 + 236 - 236. What is h(q(i))?
-2*i**2
Let y(f) = 84*f - 1804. Let g(j) = -91*j - 1. Give g(y(n)).
-7644*n + 164163
Let g(o) = 5*o**2 - 6*o**2 + 0*o**2. Let y(t) = -16755 + 16755 + 42*t. Give y(g(m)).
-42*m**2
Let r(j) be the second derivative of -5*j**4/12 - 36*j - 5. Let q(s) = 898*s. What is r(q(c))?
-4032020*c**2
Let i(x) = -x**2. Let s(p) = -251*p + 36. Let b(j) = -503*j + 90. Let a(k) = -2*b(k) + 5*s(k). What is i(a(o))?
-62001*o**2
Suppose -3*t - 2*f = -3 - 6, 4*f = -3*t + 9. Let a be t*(-4)/(-3) - -1177. Let g(w) = -w**2 + a - 1181. Let d(k) = -k**2. Determine g(d(q)).
-q**4
Let d(b) be the third derivative of b**4/6 - 19*b**3/2 + 1371*b**2. Let s(f) = -2*f**2. Give s(d(k)).
-32*k**2 + 912*k - 6498
Let t(c) = 2*c**2 - 3. Let w(b) be the first derivative of -1/3*b**3 + 0*b**2 - 67 + 0*b. Give t(w(u)).
2*u**4 - 3
Let z(f) = 30377*f**2 - 1864*f. Let o(l) = l. What is o(z(t))?
30377*t**2 - 1864*t
Let q(i) = 3609*i + 3*i**2 - 3611*i + 2*i**2 - 159. Let o(u) = u. Calculate q(o(t)).
5*t**2 - 2*t - 159
Let x(i) = i**2 + i. Let f(q) = 6*q + 10*q - 23*q + 9*q - q**2. Let b(l) = -f(l) + 2*x(l). Let g(r) = -5 + 19 + 2*r - 14. Determine b(g(y)).
12*y**2
Let u(k) = -k - 157332. Let j(w) = -38*w**2 + w - 2. Calculate u(j(g)).
38*g**2 - g - 157330
Let v(c) = 115*c**2. Let k(l) = -6 - 66*l**2 + 95*l**2 + 6 - 22*l**2. Calculate v(k(g)).
5635*g**4
Let n(m) = 2*m**2 - 4*m + 2. Suppose -u + 0*a - a = -1, 2*u - 4*a = 8. Let j be n(u). Let p(g) = -g**j - 200 + 200. Let z(y) = -7*y**2. What is z(p(q))?
-7*q**4
Let w(d) = -5*d + 2311. Let f(k) = 4*k**2 - 1000. Give w(f(p)).
-20*p**2 + 7311
Let o(a) = 3398*a. Let t(y) = y**2 + 9193*y. Give o(t(b)).
3398*b**2 + 31237814*b
Let x(m) = 0*m + 3*m - m**2 - 22*m + 19*m. Let v(s) = 2828*s. Give v(x(i)).
-2828*i**2
Let k(a) = -5*a. Let y(l) be the third derivative of 0*l**4 + 1/2*l**5 + 0*l**3 + 0*l + 0 + 99*l**2. Give y(k(b)).
750*b**2
Let l(i) = i. Let n = -416 + 445. Let k(o) = 147 - n*o + 156 - 303 - 202*o. Determine k(l(z)).
-231*z
Let w(q) = 2*q. Let g(u) = -242763*u + 60. Determine g(w(l)).
-485526*l + 60
Let r(s) = -2*s. Let y(u) = 328888137*u**2. Calculate r(y(w)).
-657776274*w**2
Let o(f) be the third derivative of -55*f**4/24 + 3640*f**2. Let v(z) = 16*z. Give o(v(s)).
-880*s
Let a(t) be the second derivative of -47*t**4/12 + 8*t. Let y(h) = h**2 - 6972 + 6972. Determine y(a(v)).
2209*v**4
Let p(r) = 25 - 43 + 18 + r. Let q(i) = -5*i**2 + 2. Let d(a) be the first derivative of -85*a**3/3 + 35*a + 1. Let s(x) = 2*d(x) - 35*q(x). Calculate p(s(y)).
5*y**2
Let r(b) = 7*b**2. Suppose 8*g = 5*g + 9. Let t(k) = 3 - 47*k**2 + 20*k**2 + 21*k**2 - g. Determine t(r(z)).
-294*z**4
Let b(g) = -12*g. Let v(k) = 104*k**2 - 512*k. Calculate v(b(z)).
14976*z**2 + 6144*z
Let k(m) = 95496*m**2 + 2*m + 7. Let x(p) = -p. Calculate k(x(l)).
95496*l**2 - 2*l + 7
Let r = -22454 - -22458. Let t(i) be the third derivative of 0 + i**2 + 5/24*i**r + 0*i**3 + 0*i. Let y(s) = -3*s. What i