- 4. Let o(x) be the third derivative of m(x). Let u(t) = 67 - 67 - 5*t + 4*t. Determine o(u(s)).
-3*s
Let p(g) = -3*g. Suppose 0 = 4*q - 2*z - 6, -5*q = -5*z - 0 - 15. Let n(v) be the second derivative of 0*v**3 + 1/6*v**4 + 0 - 26*v + q*v**2. What is n(p(w))?
18*w**2
Let o(z) = -5 + 5 + 180534*z - 166180*z. Let t(d) = d. Calculate t(o(c)).
14354*c
Let b(z) = 7*z + 2. Let a = -45 - -113. Let h(l) = -251*l - 77 - a*l + 53*l. Let d(m) = -154*b(m) - 4*h(m). Let u(c) = c**2. Give d(u(k)).
-14*k**2
Let r(a) = 17. Let c(u) = -5*u - 175. Let g(w) = -c(w) - 10*r(w). Let d(o) = -15*o. Determine d(g(l)).
-75*l - 75
Let t(c) = -50*c - 59*c + 313*c. Let z(g) = g - 3*g + 4*g. Determine z(t(i)).
408*i
Let o(a) = 2*a**2 + a. Let q = -8 - -80. Let u be q/32 + -2 - 2/8. Let m(v) = u*v + 4*v - 2*v - v. What is o(m(i))?
2*i**2 + i
Let r(c) = 5*c + 5. Let u(y) = -y**2 - 3*y + 104. Let t be u(9). Let i(w) = 3*w + 2. Let d(s) = t*r(s) + 10*i(s). Let k(q) = 14*q. Determine k(d(b)).
140*b
Let g(s) = -66511866*s**2. Let h(p) = -2*p**2. Determine h(g(w)).
-8847656637603912*w**4
Let h(k) be the second derivative of -1/4*k**4 - 2 + 0*k**2 + 0*k**3 - 38*k. Let o(n) = -172*n**2. Give h(o(f)).
-88752*f**4
Let u(j) = -16*j**2. Let i(x) be the second derivative of -5*x**3/6 - 2*x + 12. Determine u(i(b)).
-400*b**2
Let a(i) = -2*i. Let n(m) = 77*m - 15 + 9 + 10. Let g(r) = 78*r + 6. Let t(y) = 3*g(y) - 4*n(y). Calculate a(t(v)).
148*v - 4
Let k(x) = 6*x**2. Let d = 2479 + -2457. Let a(p) be the first derivative of 0*p**2 + 0*p - 1/3*p**3 - d. Give k(a(r)).
6*r**4
Let g(n) = 555*n. Let x(i) = -304*i + 648*i - 6*i**2 - 344*i. Give x(g(z)).
-1848150*z**2
Let a(m) = -m. Let f(b) = -18825241*b**2. What is a(f(o))?
18825241*o**2
Let b(u) = -17347*u - 1162. Let z(p) = -299*p - 20. Let m(l) = 10*b(l) - 581*z(l). Let c(a) = 69*a. Calculate c(m(t)).
17181*t
Let a(l) = -48*l. Let m be (-17)/(-68) + 6/8 + 1. Let s be 3/(-21)*0 + m*1. Let t(i) = -10*i - i**s - 20*i + 30*i. What is a(t(w))?
48*w**2
Let d(g) = -8*g**2. Let z(p) = -67 + 113 - 122*p**2 - 45. Determine z(d(l)).
-7808*l**4 + 1
Let a(t) = -229*t. Let h(r) = 54*r**2 + 15. Let n(x) = 836*x**2 + 231. Let l(c) = -77*h(c) + 5*n(c). Calculate l(a(u)).
1153702*u**2
Let p(v) = 10*v**2. Let f(o) = -525714*o**2. Calculate p(f(m)).
2763752097960*m**4
Let k(i) = -i**2. Suppose 4*n - 3*n = 21. Let s be -24 + n - (-1)/(2/12). Let p(j) = s*j**2 - 11*j**2 - 9*j**2 + 2*j**2. What is k(p(w))?
-225*w**4
Suppose 18*g - 3291 = 2307. Let i(m) = -2*m**2 - 311 + g - 23*m. Let q(n) = 2*n**2. What is q(i(v))?
8*v**4 + 184*v**3 + 1058*v**2
Let b(n) be the first derivative of -11*n**5/120 + 52*n**3/3 + n**2 - 211. Let q(k) be the third derivative of b(k). Let z(r) = -17*r. Determine q(z(p)).
187*p
Let r(m) = 2909*m**2. Let b(o) be the first derivative of -o**2/2 + 6421. Calculate r(b(h)).
2909*h**2
Let s(i) = 147 - 147 - i. Let g(t) be the second derivative of -43*t**3/6 - 2*t. Let x(u) = 130*u. Let l(p) = 11*g(p) + 4*x(p). What is l(s(d))?
-47*d
Let n(d) = 61*d**2. Let v(g) be the third derivative of 9*g**5/10 - 3570*g**2. Calculate v(n(c)).
200934*c**4
Let v(x) = -x**2 + 11*x + 34. Let w be v(14). Let m(l) = l + 10. Let f be m(w). Let p(r) = -f*r + 12*r - 5*r - 11*r. Let u(y) = 3*y. Determine p(u(t)).
-18*t
Let g(l) = -2*l. Let n = -12 - -16. Let h(t) = 9*t - 21. Let q be h(n). Let p(r) = r. Let w(o) = 35*o. Let s(z) = q*p(z) - w(z). Calculate g(s(m)).
40*m
Let j(y) = -2*y. Let g(l) = -62*l - 56. Let w(p) = 31*p + 24. Let v(k) = -3*g(k) - 7*w(k). Give j(v(r)).
62*r
Let o(b) = 901358*b + 5. Let z(y) = -5*y. Give z(o(i)).
-4506790*i - 25
Let m(n) = -2*n. Let w be 3 + (-141)/(-27) + (-6)/27. Suppose 3*b - w = 5*s, s + 28 = 4*b + 3*s. Let f(x) = -b*x - 6*x + 0*x. Calculate f(m(y)).
24*y
Let v(h) = -2*h**2. Let w(n) be the third derivative of 151*n**4/12 + n**2 + 28*n + 1. What is v(w(q))?
-182408*q**2
Let p(q) = 9*q**2 + 32851. Let h(v) = 2*v. What is p(h(m))?
36*m**2 + 32851
Let m(v) = 5*v - 145. Let q(i) = 2966*i. Calculate q(m(y)).
14830*y - 430070
Let h(q) = -145729*q. Let u(r) = -3*r - 41. Determine h(u(c)).
437187*c + 5974889
Let b = -323 + 588. Let q(z) = -269*z**2 + 532*z**2 - b*z**2. Let g(t) = -24*t. What is q(g(p))?
-1152*p**2
Let u(r) = -2*r. Let n(g) = 2667597*g. Give n(u(p)).
-5335194*p
Let d(g) = -150*g + 13. Let z(r) = 3*r**2 + 8*r - 20. Let l(y) = 10*y**2 + 26*y - 65. Let j(f) = 4*l(f) - 13*z(f). Determine j(d(p)).
22500*p**2 - 3900*p + 169
Let s(x) = 67*x**2. Let m(g) be the second derivative of 5*g**4/6 - 781*g. Give m(s(w)).
44890*w**4
Let v(y) = -2*y. Let q(b) be the first derivative of -4*b**2 + 16*b - 306. Let w(j) = -9*j + 12. Let m(i) = 4*q(i) - 5*w(i). What is v(m(n))?
-26*n - 8
Let s(r) = 1734123*r**2. Let n(l) = -119*l**2. Give s(n(x)).
24556915803*x**4
Let k(w) = -33*w**2. Let v be 32/(-368) - 694/(-46). Let x(j) = 20*j**2 - 30*j. Let s(p) = 3*p**2 - 4*p. Let t(o) = v*s(o) - 2*x(o). What is k(t(u))?
-825*u**4
Let b(j) = j**2 + j - 1. Let u = 28 + 0. Let i(g) = -16*g**2 - 14*g + 14. Let v(a) = u*b(a) + 2*i(a). Let m(o) = -11*o**2. Calculate v(m(w)).
-484*w**4
Let k(w) = w - 1. Let v(y) = -y. Let f(s) = 3*k(s) + 4*v(s). Let n(j) be the second derivative of -57*j + 0 + 0*j**2 + 1/6*j**3. What is n(f(z))?
-z - 3
Let d(b) = -2416*b**2. Let x(g) = 26*g**2. What is d(x(z))?
-1633216*z**4
Suppose 0 = 4*g - 5*o - 71, 5 = 5*g + o - 62. Let v be 2/3 - (-2)/(-3). Let l(q) = -g + v*q + q + 14. Let w(b) = -2*b**2. Calculate w(l(t)).
-2*t**2
Let c(p) = p. Suppose -84*m + 4670 = -74*m. Let n(j) = m*j + 25 - 235*j - 232*j + 4*j**2. Determine n(c(u)).
4*u**2 + 25
Let u(m) = m. Let a(x) = -3 - 15*x**2 - 6 + 6*x**2 + 13. Let p(b) = -8*b**2 + 4. Let w(s) = -5*a(s) + 6*p(s). What is u(w(y))?
-3*y**2 + 4
Let k(q) be the second derivative of -20*q + 0*q**2 + 0 + 0*q**3 + 5/12*q**4. Let h(r) = -11*r**2. Calculate h(k(u)).
-275*u**4
Let w(o) = -2*o - 3. Let n(h) = 1. Let r(v) = -3*n(v) - w(v). Let j(z) be the third derivative of z**4/24 - 65*z**2. What is r(j(u))?
2*u
Let c(t) = -t. Suppose -5*s = -3030 + 535. Let g(w) = 499 - s - 106*w. What is g(c(f))?
106*f
Let u(x) = -49825*x. Let i(z) = 11*z + 1. Determine i(u(h)).
-548075*h + 1
Let t(h) = -4*h**2. Let v = 192 + -171. Let x(s) = -13 - 8 - 7*s + v. What is t(x(j))?
-196*j**2
Let r(n) = -78*n. Let q(w) be the second derivative of 5*w**4/4 + 2970*w. Give r(q(j)).
-1170*j**2
Let v(d) = 4*d - 4*d + 4*d. Let k(y) = -54726*y - 54723*y + 109449*y - 17*y**2. Give v(k(l)).
-68*l**2
Let s(f) = 3*f**2 + 45*f - 31. Let t be s(-16). Let b(w) be the first derivative of -t + 0*w**2 - 1/3*w**3 + 0*w. Let c(g) = -14*g**2. Give c(b(n)).
-14*n**4
Let u(m) = -15*m**2 + 21*m**2 - 2*m**2 - 3*m**2. Let f(b) = 196*b**2. Calculate u(f(j)).
38416*j**4
Let d(k) = -3*k. Suppose -35 = 62*c - 69*c. Let a(i) = 2*i. Let l(p) = c*d(p) + 6*a(p). Let x(y) = -13 + 13 - 2*y**2. What is l(x(b))?
6*b**2
Let p(v) = -v + 8. Let f(b) = 2. Let x(t) = -4*f(t) + p(t). Let m(w) be the first derivative of -10 - 8 + 6*w**2 - 10*w**2 + 19*w**2. Determine m(x(i)).
-30*i
Let a(k) = -124*k**2 + 379. Let f(x) = -3*x. Determine a(f(b)).
-1116*b**2 + 379
Let i(f) = 18*f + 814. Let t(d) = -4*d - 169. Let b(y) = 4*i(y) + 19*t(y). Let w(z) = -6*z. Calculate b(w(o)).
24*o + 45
Let n(t) = t - 1. Let p(s) = 35*s - 21. Let u(h) = 42*n(h) - 2*p(h). Let v(q) be the first derivative of 5*q**3/3 + 50351. Give u(v(m)).
-140*m**2
Let o(f) = -2*f**2 + 3*f**2 + 2*f**2. Let b(c) = -16*c + 9. Let p(t) = -339*t + 189. Let x(y) = 105*b(y) - 5*p(y). Give o(x(j)).
675*j**2
Let j(m) = -2. Let u be 10*(-4)/(-8)*-1. Let p(n) = n - 5. Let w(q) = u*j(q) + 2*p(q). Let d(a) be the first derivative of -7*a**2/2 + 87. What is d(w(g))?
-14*g
Let w(a) = -1952*a**2. Let o(u) be the first derivative of -u**3/3 + 3885. Calculate o(w(k)).
-3810304*k**4
Let j(k) = -9991*k - 168. Let x(c) = 37*c**2. What is j(x(d))?
-369667*d**2 - 168
Let p(y) = 6*y**2. Let m(x) = -11 + 9 - 659*x + 506*x. What is p(m(h))?
140454*h**2 + 3672*h + 24
Let t(w) = -1234*w**2 + 203615*w - 203615*w. Let j(k) = k. Determine t(j(q)).
-1234*q**2
Let j(f) = -33546*f. Let d(q) = -399*q + 10. What is j(d(s))?
13384854*s - 335460
Let x(n) be the first derivative of -n**2 - 41. Let i(u) = -27*u**2 + 4 - 4. Determine i(x