a. Determine d(f(x)).
-753192656250*x**2
Let q(y) = -106*y**2 - 4. Let f(i) = -955*i**2 - 35. Let m(d) = 4*f(d) - 35*q(d). Let l(g) = -3 - 5714*g + 3 + 5712*g. Determine m(l(s)).
-440*s**2
Let y(f) = 53*f. Let r(u) = 55*u - 45. Let s(b) = -61*b + 54. Let i(d) = 6*r(d) + 5*s(d). Calculate y(i(o)).
1325*o
Let c(w) = -5. Let k = 318 - 321. Let m(p) = p + 15. Let b(y) = k*c(y) - m(y). Let g(i) = -2*i**2 + 127*i. Give g(b(o)).
-2*o**2 - 127*o
Let t(p) = 52*p**2 - 95*p**2 + 29*p**2. Let j(x) be the first derivative of -3*x**2/2 - 1. Determine j(t(i)).
42*i**2
Let p(y) = 5*y**2. Let c(i) = 1257875*i. Determine p(c(u)).
7911247578125*u**2
Let j(k) = -9234*k**2 + 456*k + 228. Let h(b) = -203*b**2 + 10*b + 5. Let g(u) = 228*h(u) - 5*j(u). Let x(w) = -14*w**2. Give g(x(f)).
-22344*f**4
Let w(d) = 2*d - 759 + 759. Let v(a) = -246*a**2 - 254 + 254 + 50*a**2 - 43*a**2. Give v(w(q)).
-956*q**2
Let h(j) = -23*j**2. Let z(p) be the third derivative of -21*p**2 + 0*p + 0 + 1/24*p**4 + 0*p**3. Give z(h(x)).
-23*x**2
Let t(o) be the first derivative of 62*o**3/3 - 7. Let b(f) = -2*f**2 - 11. Let q(y) = -y**2 - 5. Let j(u) = -5*b(u) + 11*q(u). Determine t(j(s)).
62*s**4
Let f(y) = y**3 + 7*y**2 - 4*y - 4. Let q be f(-7). Let c(u) = 12*u**2 + q*u - 24*u. Let d(n) = -39*n - 65*n + 147*n - 41*n. Determine d(c(b)).
24*b**2
Let r(d) = -2*d - 18. Let n(p) = -7*p**2 - 395*p - 3. Give r(n(l)).
14*l**2 + 790*l - 12
Let v(f) be the third derivative of -f**5/20 + 41*f**2. Let o(j) = -2 + 5 - 3 - 40*j. What is v(o(k))?
-4800*k**2
Let q(f) = 77*f. Let w(l) = 113*l + 5*l - 33*l - 23*l + 0*l. Calculate w(q(d)).
4774*d
Let h(i) = -4*i - 32 - i + 11*i - 4*i + 28. Let o(l) = 3 - l - 3. What is o(h(z))?
-2*z + 4
Let i(g) = 38*g. Let y(r) = -r**2 - 43329*r. Determine i(y(d)).
-38*d**2 - 1646502*d
Let h(p) = 16*p**2. Let g(j) be the first derivative of -7*j**2/2 - 35*j + 12475. Calculate g(h(m)).
-112*m**2 - 35
Let o(n) = 7*n - 1410. Let u(q) = 19*q**2 + 20. Give o(u(k)).
133*k**2 - 1270
Let n(u) = -3*u**2 - 4*u. Let w(k) = -7*k**2 - 8*k. Let j(s) = -2*n(s) + w(s). Let t(i) = -6*i - 8*i + 2 - 6*i. Calculate j(t(f)).
-400*f**2 + 80*f - 4
Let n(q) = 16*q - 8. Let k(j) = -2*j + 34049. Determine k(n(o)).
-32*o + 34065
Let b(j) be the second derivative of 0*j**2 + 10 + 0*j**3 + 3*j + 1/12*j**4. Let g(x) = 22*x. Determine g(b(m)).
22*m**2
Let a(b) = 43*b. Let k(c) = -2230*c**2 - 25*c. Calculate a(k(d)).
-95890*d**2 - 1075*d
Let f(y) = -10*y. Let z(i) = -5*i**2 + 857. Give f(z(c)).
50*c**2 - 8570
Let o(u) = 209 - 4*u - 209. Let r(a) be the second derivative of 17*a**4/12 + 33*a. Give o(r(i)).
-68*i**2
Let h(r) = 336*r**2 - 49*r + 49. Let x(f) = 28*f**2 - 4*f + 4. Let g(y) = 4*h(y) - 49*x(y). Let o(l) be the first derivative of 2*l**3 + 21817. Give o(g(m)).
4704*m**4
Let t(w) = w + w + 16048 - 16045. Suppose 3*j + 4*c + 5 = 0, 20 = -c - 3*c. Let x(q) = 5*q**2 - j*q**2 + 2*q**2. Give t(x(h)).
4*h**2 + 3
Let a(i) be the third derivative of -i**5/30 - i**2. Let x(c) = 22*c - 20. Let h(o) = 111*o - 110. Let g(b) = 4*h(b) - 22*x(b). What is g(a(m))?
80*m**2
Let f(m) = -114*m**2 + 2. Let j(k) be the second derivative of 7*k**3/6 - 903*k. Calculate j(f(q)).
-798*q**2 + 14
Let p(l) = -2*l. Let d(v) = -2236*v + 4491*v + 707*v + 3886*v. Determine p(d(t)).
-13696*t
Let m(w) = -1957*w**2. Let y(n) = -7*n - 125. Let x(s) = -60*s - 1075. Let l(c) = -10*x(c) + 86*y(c). Determine l(m(u)).
3914*u**2
Let y(p) = 4*p**2. Let f(k) = 4019*k + 18. Let m(x) = 37436976*x + 167664. Let l(o) = -27944*f(o) + 3*m(o). What is y(l(g))?
63744256*g**2
Let w(j) = 8*j - 2. Let k(r) be the first derivative of -2*r**3/3 - 30*r - 5468. Calculate k(w(v)).
-128*v**2 + 64*v - 38
Let u(h) = 28*h. Let b(i) be the third derivative of -179*i**4/24 + 296*i**2 + 3. Calculate b(u(c)).
-5012*c
Let x(n) = -6573723*n**2. Let c(k) = -58*k. What is c(x(w))?
381275934*w**2
Let c(w) = -3*w**2 - 665*w - 6. Let t(r) = 6*r**2 + 1332*r + 11. Let j(z) = 11*c(z) + 6*t(z). Let p(v) = 3*v. Calculate p(j(b)).
9*b**2 + 2031*b
Let p(g) = -139*g + 1 - 1 + 140*g. Let i(f) be the first derivative of f**4/3 - 2*f**2 - 7. Let x(l) be the second derivative of i(l). Determine p(x(k)).
8*k
Let s(x) = 3*x. Let h(o) = 11*o. Let p(y) = -2*h(y) + 9*s(y). Let z(v) = 19*v - 19*v + 5068*v**2 - 5065*v**2. Calculate p(z(t)).
15*t**2
Let u(n) = 9*n - 3. Let s(r) = 815*r**2. Calculate s(u(p)).
66015*p**2 - 44010*p + 7335
Let d(m) = -553*m**2 + 6*m + 12. Let x(s) = -360555*s**2 + 3913*s + 7826. Let z(p) = 3913*d(p) - 6*x(p). Let n(t) = -t**2. Determine n(z(a)).
-312481*a**4
Let h(o) be the second derivative of -o**3/3 + 45*o**2 - 7599*o. Let i(x) = -2*x**2. Calculate i(h(c)).
-8*c**2 + 720*c - 16200
Let m(a) = 609*a**2 - 694*a**2 - 11*a + 11*a. Let z(h) be the third derivative of h**5/60 + 4*h**2 - 2*h. Determine z(m(j)).
7225*j**4
Let p(k) = 329*k + 12. Suppose -1034 = -0*v + 2*v. Let l(o) = -42441*o - 1551. Let a(y) = v*p(y) - 4*l(y). Let f(d) = -2*d. What is a(f(n))?
658*n
Let k(s) = 3332*s**2 + 6. Let i(b) = -7*b. What is i(k(t))?
-23324*t**2 - 42
Let z(c) = 14*c**2. Let a(f) = 5*f**2. Let d(n) = -8*a(n) + 3*z(n). Let q be (105/(-18) - -5)/((-2)/12). Let u(v) = -4*v + v - 3*v + q*v. Determine d(u(p)).
2*p**2
Let o(n) = -505249400*n. Let z(t) = -2*t. Calculate o(z(v)).
1010498800*v
Let g(m) = 774*m + 6. Let t(f) = 5*f - 277. Determine g(t(l)).
3870*l - 214392
Let r(j) be the third derivative of 0*j - 114*j**2 - 1/24*j**4 + 0*j**3 + 0. Let a(z) = 4*z**2. What is r(a(i))?
-4*i**2
Let f be 0/(-12 + 25)*(-5)/15. Let n(w) be the third derivative of 0*w**4 - 1/12*w**5 + f*w**3 + 0*w + 0 - 33*w**2. Let d(c) = -c**2. Calculate d(n(b)).
-25*b**4
Let r(b) be the first derivative of 86*b**3 - 2220. Let o(u) = -21*u. Calculate o(r(s)).
-5418*s**2
Let s be 19 - (7/(-7) - 6/(-1)). Let m(a) = -s*a - 3*a + 17*a + 2*a**2. Let f(o) = -85*o. Give f(m(l)).
-170*l**2
Let y(a) = 5*a - 9. Let c(n) = -46*n**2 + 1097*n + 1. What is c(y(l))?
-1150*l**2 + 9625*l - 13598
Let g(d) = 2*d**2 - 2. Let v(u) = 14*u**2 - 7. Let y(f) = 4*g(f) - v(f). Let q(j) be the second derivative of -j**3/6 - j. What is y(q(h))?
-6*h**2 - 1
Let z(i) = -76 + 133*i + 65*i - 210*i. Let d(x) = -x**2. Determine d(z(m)).
-144*m**2 - 1824*m - 5776
Let z(s) = -1 - 4*s + 5*s + 1. Let i(d) = d**2 + d - 1. Let k(h) = 22*h**2 - 6*h + 6. Suppose -15*t + 68 = 248. Let l(y) = t*i(y) - 2*k(y). What is l(z(m))?
-56*m**2
Let w(u) = -u. Let d(s) be the second derivative of -3*s + 0*s**2 - 2*s**3 + 3/40*s**5 + 0 + 0*s**4. Let g(b) be the second derivative of d(b). What is g(w(m))?
-9*m
Let a(o) = -6*o**2 + 3. Let i = -57 + 100. Let q(m) = -i + 23 + 20 + 3*m. What is q(a(h))?
-18*h**2 + 9
Let c(p) be the third derivative of p**5/30 - 1210*p**2. Let h(b) = -3154*b. What is c(h(z))?
19895432*z**2
Let h(r) = 14*r - 616. Let o(b) = -279*b + 12474. Let y(d) = 81*h(d) + 4*o(d). Let g(z) = 3*z**2 - 4*z. What is y(g(x))?
54*x**2 - 72*x
Let u(o) = -55*o. Let w(n) = -17341*n**2. What is w(u(i))?
-52456525*i**2
Let l(o) be the first derivative of -11*o**3/6 + o**2/2 - 42*o - 77. Let p(q) be the first derivative of l(q). Let w(n) = -n. Give p(w(m)).
11*m + 1
Let n(q) = 144113*q + 1688. Let h be 2/2 + 16/(-28)*-7. Let o(y) = 427*y + 5. Let t(l) = h*n(l) - 1688*o(l). Let z(g) = -2*g**2. Calculate t(z(j)).
422*j**2
Let h(u) = -464 + 464 + 4*u + 2*u + 5*u. Let a(i) = 6*i**2 + 4*i. Determine h(a(c)).
66*c**2 + 44*c
Let f(j) = 94155 - 68*j - 94155. Let k(u) = -51*u. What is f(k(b))?
3468*b
Let f(z) = z + 12*z**2 - z. Let o(r) = -135751822 - 8*r**2 + 135751822. Determine f(o(m)).
768*m**4
Let z(y) = -11*y. Let m be 5*6/15 - 0/8. Let f(c) = -17*c + 4. Let p(u) = -31*u + 10. Let i(o) = m*p(o) - 5*f(o). What is i(z(t))?
-253*t
Let g(m) = -2*m**2 - 2*m - 500. Let d(v) = -4*v - 1. What is g(d(q))?
-32*q**2 - 8*q - 500
Let s(z) = 21*z**2. Let d(y) = 329*y + 3486. Give d(s(o)).
6909*o**2 + 3486
Let d(z) = 12*z. Let r(g) = -599557*g**2 + 3. Give r(d(x)).
-86336208*x**2 + 3
Let v(m) = -3*m**2. Let k = 339 + -204. Let u = k + -107. Let w(a) = 91*a - u*a - 39*a. Give v(w(r)).
-1728*r**2
Suppose h - 12 = 2*v - 3, -2*h = -2*v - 18. Let m(c) = h*c + 6*c - 10*c. Let a(k) = 14*k. What is a(m(s))?
70*s
Let q(b) = 2*b**2 - 10*b - 5. Let m(d) = -1947*d + 1. Determine m(q(n))