8
Let t(i) = -17*i. Let k(b) be the first derivative of 11*b**6/360 + b**3/3 + 21*b**2/2 + 26. Let a(q) be the third derivative of k(q). What is t(a(n))?
-187*n**2
Let o(p) be the first derivative of 1/3*p**3 + 0*p + 162 + 0*p**2. Let q(u) = -4*u. What is o(q(i))?
16*i**2
Let u(q) = -2*q. Let b(k) = 10*k - 7628. Give b(u(s)).
-20*s - 7628
Let x(k) = -3*k**2 + 4457*k - 4457*k. Let d(v) be the second derivative of 1/6*v**4 - 5*v + 0*v**2 + 0 + 0*v**3. Determine d(x(f)).
18*f**4
Let v(i) be the third derivative of -5*i**4/12 - i**2 + 2*i - 70. Let c(f) = -3*f**2. Determine v(c(a)).
30*a**2
Let g(j) = -34*j + 30. Let f(c) be the first derivative of 7*c**2/2 - 6*c + 97. Let i(h) = -11*f(h) - 2*g(h). Let b(t) = 2*t. Calculate i(b(u)).
-18*u + 6
Let s(g) = 14*g - 47*g + 29*g. Let v(z) = 146*z**2 - 3*z - 30. Let c(b) = 24820*b**2 - 511*b - 5110. Let r(x) = 3*c(x) - 511*v(x). Determine r(s(o)).
-2336*o**2
Let k(t) be the third derivative of -t**5/30 + 20*t**2. Let j(f) = -1598*f + 4791*f - 1594*f - 29 - 1596*f. What is j(k(v))?
-6*v**2 - 29
Let x(h) = 4*h. Let l(j) = j + 372 - 3*j + 2*j - 314 - 5*j**2. Give l(x(d)).
-80*d**2 + 58
Let v(j) = 4*j. Let g(f) = -1378538*f. Determine v(g(w)).
-5514152*w
Let i(a) = -176*a. Let n(b) = -46*b - 46*b + 161*b - 50*b - 43*b. Calculate n(i(y)).
4224*y
Let j(p) = 8 - 8 - 2*p**2. Let r(l) = l**3 - 7*l**2 + 13*l - 165. Let x be r(8). Let w(d) = x*d + 2*d**2 + 1 - 1 + 7*d - 3*d**2. Determine j(w(k)).
-2*k**4 + 40*k**3 - 200*k**2
Let b(m) be the first derivative of -m**2/2 + 9. Let o(t) = 10*t. Let n(i) = 5*b(i) + o(i). Let c(v) = -1 + 5*v**2 + 1. Determine c(n(y)).
125*y**2
Let l(w) be the second derivative of -w**5/60 + 3*w**2/2 - 2*w + 26. Let a(z) be the first derivative of l(z). Let r(j) = -6*j**2 + 1. Calculate a(r(m)).
-36*m**4 + 12*m**2 - 1
Let n(i) = i**2. Let t(h) = -2*h + 10. Let l be 3/(-21) + 154/49. Let j be t(l). Let q(w) = 4*w + 16*w + 6*w - j*w. Calculate q(n(s)).
22*s**2
Let u(c) = -187*c**2. Let z(m) = -1408 + 4219 - 1404 - 1407 - 18*m. Determine z(u(o)).
3366*o**2
Let t(o) = 4*o - 3. Let y(n) = -3*n + 4. Let b(z) = 4*t(z) + 3*y(z). Let s(k) be the second derivative of 0*k**2 - 21*k - 1/6*k**4 + 0 + 0*k**3. Give s(b(v)).
-98*v**2
Let j(t) = -2*t. Let r(s) = 247796260*s**2. Calculate j(r(x)).
-495592520*x**2
Let b = 23 + -18. Let d(r) = 3 + b + 3*r - r + 11. Let l(s) = 8*s. Let q(m) = -11*m. Let v(y) = -4*l(y) - 3*q(y). Calculate v(d(x)).
2*x + 19
Let x(w) = -6*w - 54160. Let j(c) = -103*c - 1. What is j(x(b))?
618*b + 5578479
Let r(h) = 4*h - 1. Let w be r(1). Let q(j) = -7 - w*j + 7. Let m(s) be the first derivative of 3*s**2 - 4998. Give q(m(x)).
-18*x
Let t(b) = -9*b. Let q(l) = 1372*l**2 - 20*l. Give t(q(p)).
-12348*p**2 + 180*p
Let h(t) = -2578386*t - 2578374*t + 5156759*t. Let p(l) = 10 - l - 36 - 13. Give p(h(a)).
a - 39
Suppose 5*y - 4*r + 1 = 0, 4*y + 3*r - 23 = 1. Let l(p) = 0*p + 0*p + y*p. Let g(a) be the third derivative of -7*a**4/12 - 4*a**2 - 33. Calculate l(g(w)).
-42*w
Suppose 51 - 47 = u. Let b(k) = -24*k + 2*k + u*k. Let d(n) = -3*n. Give d(b(j)).
54*j
Let m(j) = -27166*j. Let d(w) = -4*w + 38. What is d(m(c))?
108664*c + 38
Let n(q) = -35*q. Let w be -5 - 14*(-6)/12. Let r(m) = 127*m**w + 127*m**2 - 258*m**2. Calculate n(r(b)).
140*b**2
Let y(v) = -58969*v**2. Let k(j) = -5834*j. Calculate y(k(g)).
-2007042701764*g**2
Let h(w) = -w**2. Let f(q) = 87*q + 2195*q**2 - 4415*q**2 + 2218*q**2. Calculate f(h(y)).
-2*y**4 - 87*y**2
Let q(s) = 643*s**2 - 7*s + 7*s - 38 + 35. Let j(x) = x. What is q(j(z))?
643*z**2 - 3
Let x(k) = k**2 + 5*k + 5. Let s(z) = z**2 + 6*z + 6. Let q(w) = -5*s(w) + 6*x(w). Let a = -108 - -118. Let d(m) = -77 + 39 - a*m + 38. Determine d(q(h)).
-10*h**2
Let i(q) = q - 4. Let j be i(6). Let l(b) = j*b**2 - 3*b**2 - 7*b**2. Let d(v) = -8 + 8 + 14*v**2 - 12*v**2. What is d(l(n))?
128*n**4
Let r(p) = p + 164. Let o(b) = 107*b. Let s(d) = -357*d. Let a(g) = 10*o(g) + 3*s(g). Calculate r(a(n)).
-n + 164
Let s(t) = -298*t**2. Let v(z) = -50*z + 55394639 - 55394639. Determine s(v(g)).
-745000*g**2
Let q(g) = 3985*g**2 - 4218*g**2 + 1787*g**2. Let i(d) = -4*d**2. Give q(i(f)).
24864*f**4
Let i(v) = -34*v. Let u(p) = -56 + 65*p - 19*p + 3 - 19*p - 26*p. Give u(i(m)).
-34*m - 53
Let y(j) = -26*j**2 + 5*j. Let h(f) = -15*f**2 - 33*f - 66. Let s(k) = k**2 + 2*k + 4. Let r(i) = 2*h(i) + 33*s(i). Determine r(y(v)).
2028*v**4 - 780*v**3 + 75*v**2
Let s(f) = 9*f. Let t(b) = 4242231*b. What is s(t(y))?
38180079*y
Let g(i) be the third derivative of i**5/12 + 729*i**2. Let s(u) = -5*u - 3. What is g(s(l))?
125*l**2 + 150*l + 45
Let r(c) = 5*c - 96. Let x(b) = -14*b + 272. Let v(z) = -17*r(z) - 6*x(z). Let h(d) = -3167*d. Determine v(h(y)).
3167*y
Let x(d) = -d. Let z(f) be the first derivative of 18 - 20 + 49 + 3*f**3 - 2*f**3. Determine x(z(g)).
-3*g**2
Let i(r) = 593624*r + 48. Let n(l) = 2*l. Determine i(n(d)).
1187248*d + 48
Let z(j) be the first derivative of -7*j**3/3 + 5. Let y(k) = 3439*k - 3439*k - k**2 - 4*k**2. Give z(y(m)).
-175*m**4
Let v(o) = -5*o**2 + 13. Let y(j) = 166*j + 78. Let t(i) = 19*i + 9. Let w(x) = 52*t(x) - 6*y(x). What is w(v(k))?
40*k**2 - 104
Let k(y) be the second derivative of 5*y**4/4 + 299*y + 1. Let s(n) = 79*n. What is s(k(a))?
1185*a**2
Let m(z) = 87*z**2. Let h(g) = -98438*g. Calculate h(m(q)).
-8564106*q**2
Let q(r) = -17 + 17 - r + r + 4*r. Let p(u) be the third derivative of u**8/10080 + u**5/15 - 4*u**2. Let m(g) be the third derivative of p(g). Give q(m(s)).
8*s**2
Let t(f) be the second derivative of -1/6*f**3 + 0*f**2 + 0 + 32*f. Let o(g) = -45*g - 41*g + 88*g + 17. Calculate t(o(v)).
-2*v - 17
Let t(p) = -101*p**2 + 2. Let s(b) be the second derivative of -7*b**3/6 - 1912*b. Determine t(s(d)).
-4949*d**2 + 2
Let l(z) = 21*z**2. Let n(i) be the third derivative of -115*i**4/24 - i**2 + 2845. Determine l(n(u)).
277725*u**2
Let z = 174 - 181. Let x(g) = -34*g - 21. Let u(b) = -11*b - 6. Let n(r) = z*u(r) + 2*x(r). Let y(v) = -2*v. Give n(y(l)).
-18*l
Let p(s) be the third derivative of -s**5/3 - 5557*s**2. Let c(w) = -58*w. What is p(c(u))?
-67280*u**2
Let k(h) = -16515*h. Let z(a) be the third derivative of -a**5/30 - 4*a**2 - 112*a. Give k(z(t)).
33030*t**2
Let y(w) = 65*w. Let z(x) = 580420*x. Give z(y(a)).
37727300*a
Let v(f) be the first derivative of -6*f**2 - 2045. Let u(h) = -13 - 3*h**2 + 7 + 6. Let b(n) = -15*n**2. Let r(c) = 4*b(c) - 21*u(c). What is r(v(g))?
432*g**2
Let v(f) = f + 10. Let w(s) = -3160*s**2 - s + 10. Calculate v(w(n)).
-3160*n**2 - n + 20
Let h(t) be the first derivative of -10*t**3/3 - 3102. Let l(a) be the third derivative of 7*a**4/4 - 13*a**2. Calculate h(l(j)).
-17640*j**2
Let z(x) = -4*x**2. Let y(u) = 948477*u**2 + 10. Calculate y(z(r)).
15175632*r**4 + 10
Let c(z) = 3*z**2. Let g be 29/3*11*18 + -2. Let o(i) = i - g + 3830 - 1916. Give o(c(a)).
3*a**2 + 2
Let o(b) = 15*b. Suppose -4*m + 24 = -16. Let g be 5*1*4/m. Let w(u) = -2*u**g - 18 - 19 + 37. Determine w(o(k)).
-450*k**2
Let x(g) = 4*g**2 - 6*g + 3. Let b(a) = 6*a**2 - 8*a + 4. Let l(p) = -3*b(p) + 4*x(p). Let h(n) = -5*n - 25. What is h(l(d))?
10*d**2 - 25
Let y = -66 + 112. Let n = y - 40. Let d(c) = n*c - 4*c**2 + 8*c - 14*c. Let a(v) = -3*v**2. What is d(a(t))?
-36*t**4
Let c(d) be the first derivative of 0*d + 80 - 1/2*d**2. Let w(b) = -b**2. What is w(c(l))?
-l**2
Let j(n) = -n. Let c(u) = 3*u. Let v(a) = -4*c(a) - 9*j(a). Let b(o) be the first derivative of -13*o**3/3 - 3371. What is b(v(q))?
-117*q**2
Let k(w) = 5*w**2. Let n(c) be the second derivative of c**4/6 + 5*c**2/2 - 972*c. What is n(k(l))?
50*l**4 + 5
Let y(f) = -74*f**2. Let d(p) = -3*p - 10. Let n(z) = z + 4. Suppose 0 = -3*w + 4*q - 6, 4*w + 8*q - 6*q + 8 = 0. Let h(i) = w*d(i) - 5*n(i). Calculate h(y(k)).
-74*k**2
Let a(z) = -z. Let s(g) = -95911*g**2 - 11. What is a(s(m))?
95911*m**2 + 11
Let b(f) = 15*f. Suppose -u = 50 - 74. Let t(d) = 78*d - 35*d - u*d - 28*d. Give b(t(c)).
-135*c
Let o(n) = 10*n**2 - n**2 - 6*n**2 + 4*n**2. Let a = -9 + 14. Let v(r) = 2. Let u(q) = -q - 5. Let h(f) = a*v(f) + 2*u(f). Give o(h(g)).
28*g**2
Let o(p) = 10466891*p**2 - 4. Let r(g) = g. Determine o(r(m)).
10466891*m**2 - 4
Let a(x) be the third derivative of -x**4/12 - 5*x**3/6 - x**2 + 19