4*r**2 - 5
Let w(p) be the third derivative of 13*p**4/24 - 3888*p**2. Let d(q) be the third derivative of q**4/12 + q**2. Determine w(d(a)).
26*a
Let r(n) = 8*n. Let i(l) = -226 - 102 - 160*l**2 + 78 - 250*l + 810*l**2. Let p(h) = -21*h**2 + 8*h + 8. Let b(d) = -4*i(d) - 125*p(d). Determine r(b(t)).
200*t**2
Let a(p) = 37*p - 2106396. Let w(j) = -j. What is w(a(f))?
-37*f + 2106396
Let z(l) = 3*l. Let j(t) = 59*t**2 + 215313*t. Calculate z(j(q)).
177*q**2 + 645939*q
Let s(c) = -158 - 163 - c - 98 + 419. Let v(w) be the second derivative of -19*w**4/4 - w. Calculate s(v(r)).
57*r**2
Let f(r) = -r + 4. Let n(h) = -30*h + 60. Let q(t) = -15*f(t) + n(t). Let c(x) = x**2 - 9. Determine c(q(d)).
225*d**2 - 9
Let f(k) = -2*k**2. Let p(n) = -45*n**2 - 12*n - 3. Let x(m) = 43*m**2 + 10*m + 3. Let c(q) = -5*p(q) - 6*x(q). What is c(f(j))?
-132*j**4 - 3
Let l(m) be the third derivative of -29*m**5/20 + 3*m**2. Let x(w) = -3*w**2 - 3*w. Let q(b) = 16*b**2 + 18*b. Let a(i) = q(i) + 6*x(i). Give a(l(p)).
-15138*p**4
Let h(w) = 164*w - 802. Let z(b) = -b**2. What is h(z(j))?
-164*j**2 - 802
Let p(z) be the third derivative of 4*z**5/15 - 7020*z**2. Let m(o) = 115*o + 2. Determine p(m(b)).
211600*b**2 + 7360*b + 64
Let m(s) = -5*s**2 - 6*s**2 + 2*s**2. Let y(k) = -749*k**2 - 49*k - 49. Let v(z) = -30*z**2 - 2*z - 2. Let h(w) = -49*v(w) + 2*y(w). Give h(m(x)).
-2268*x**4
Let t(g) be the third derivative of -2*g**5/15 + 3280*g**2. Let n(h) = -3*h - 80. Calculate n(t(d)).
24*d**2 - 80
Let d(l) = -28988*l + 105. Let h(w) = 140*w**2. What is d(h(b))?
-4058320*b**2 + 105
Let t(x) be the second derivative of -59*x**5/60 + 91*x**3/6 + 73*x. Let b(p) be the second derivative of t(p). Let i(f) = 2*f**2. Give b(i(o)).
-236*o**2
Let d(m) = -3*m**2 - 23. Let y(h) = 3*h**2 - 2*h - 4. Let j = -509 + 513. Let x(g) = 14*g**2 - 9*g - 18. Let f(w) = j*x(w) - 18*y(w). Calculate d(f(u)).
-12*u**4 - 23
Let h(f) = 12*f**2 + 3332 - 11*f**2 - 3332. Let o(p) = -19*p**2 - 3*p. What is h(o(c))?
361*c**4 + 114*c**3 + 9*c**2
Let x(v) = -4*v**2. Let i(r) = 172*r**2 + 22*r - 16. Let a(q) = -87*q**2 - 12*q + 9. Let j(d) = 11*a(d) + 6*i(d). Give j(x(c)).
1200*c**4 + 3
Let k(q) = 2*q**2. Let m(u) = -288137046*u. Give k(m(b)).
166045914555212232*b**2
Let o(d) = 58*d**2. Suppose 10*f + 318 = 3048. Let p(c) = f - 273 - c. What is o(p(u))?
58*u**2
Let h(z) = -4829*z. Let n(i) = -4*i**2 - 11*i - 11. Let b(a) = -3*a**2 - 8*a - 8. Let x(d) = -11*b(d) + 8*n(d). Give h(x(l)).
-4829*l**2
Let o(w) = -968*w + 19. Let n(b) = -27*b - 1. Give o(n(v)).
26136*v + 987
Let r(w) = -13*w**2. Let z(a) = -a - 3. Let l(f) be the second derivative of 0 - 1/2*f**2 + 31*f. Let g(v) = 3*l(v) - z(v). Give g(r(x)).
-13*x**2
Let n(l) = 803 - 3*l - 393 + 36*l**2 - 2*l - 400. Let g(s) = -1333*s**2 + 186*s - 372. Let z(q) = 5*g(q) + 186*n(q). Let f(y) = -2*y**2. Calculate z(f(b)).
124*b**4
Let h(y) = -72631 + 3*y + 72631. Let b(u) be the second derivative of -u**5/15 + u**2/2 + 3*u. Let r(i) be the first derivative of b(i). What is h(r(c))?
-12*c**2
Let o(h) = h**2 - 3. Let c(m) = -6*m**2 - 20. Suppose 907*y - 32 = 915*y. Let f(g) = y*o(g) + c(g). Let i(l) = l. What is f(i(z))?
-10*z**2 - 8
Let t(c) = -21*c + 1. Let z(a) = 6*a**2 + 2*a + 86. What is z(t(n))?
2646*n**2 - 294*n + 94
Let j(l) = -8*l - 15*l + 24*l + 209*l**2 - 436*l**2. Let n(c) = -c. Calculate j(n(b)).
-227*b**2 - b
Suppose p - 135 = -5*h, 0*h + 3*p + 63 = 3*h. Let b = -3 + h. Let j(d) = -d + 22*d - b*d. Let z(a) = -5*a**2. Give z(j(x)).
-20*x**2
Let d(f) = -13*f. Let j(x) = -236 + 226 + 11 + 723*x. Determine j(d(i)).
-9399*i + 1
Let w(o) = 364*o. Let f(j) = -j**2 - 10*j - 96. Let a(i) = 2*i**2 + 11*i + 128. Let m(y) = -3*a(y) - 4*f(y). Give m(w(n)).
-264992*n**2 + 2548*n
Let z be (-6)/15*35*-1. Let x(h) = -16*h - h + 8*h - z*h + 1. Let q(o) = 64*o**2 + 65*o**2 - 195*o**2 + 65*o**2. Calculate x(q(s)).
23*s**2 + 1
Let l(i) = -685*i - 357*i + 1 - 740*i - 3 + 1264*i. Let d(r) = r**2. Give l(d(p)).
-518*p**2 - 2
Let z(w) = 354*w + 344*w - 696*w. Let d(l) = -l**2 - 987. What is z(d(r))?
-2*r**2 - 1974
Let z(p) be the first derivative of 7*p**5/60 - 2*p**2 + 20*p - 71. Let j(c) be the second derivative of z(c). Let s(y) = 3*y. Calculate s(j(t)).
21*t**2
Let v(k) = -117*k + 4. Let d = -96 + 93. Let h(p) = -116*p + 3. Let a(y) = d*v(y) + 4*h(y). Let c(z) = 2*z. Give a(c(x)).
-226*x
Let l(m) be the first derivative of 2*m**3/3 + 2. Let t be 2*(-3 + 485) - -1. Let j(c) = -965 + 6*c - 8*c + t. Calculate j(l(n)).
-4*n**2
Let a(j) be the second derivative of -5*j**4/12 + 3215*j. Let m(i) = -17*i**2 + 12. What is m(a(r))?
-425*r**4 + 12
Let a(f) = -48*f**2 - f. Let w(n) = 4458122*n. Determine w(a(u)).
-213989856*u**2 - 4458122*u
Let q(k) be the first derivative of -k**2 + 2705. Let b(o) = o**2 + 616. Calculate q(b(v)).
-2*v**2 - 1232
Let x(c) = -59 - 88*c**2 + 33 + 26 + 90*c**2. Let n(d) = 4193*d. Calculate x(n(u)).
35162498*u**2
Let u(a) be the third derivative of 0*a**3 + 0*a - 15*a**2 - 15/8*a**4 - 1. Let r(y) = -y**2. Give u(r(b)).
45*b**2
Let i(q) = -5*q. Let w(j) be the third derivative of j**3 + 3/40*j**5 + 0*j**4 + 0*j + 0 - 31*j**2. Let a(n) be the first derivative of w(n). Give i(a(m)).
-45*m
Let g(m) = -4*m**2. Let r(j) = 386217*j + 1 + 4 - 386342*j. Determine r(g(n)).
500*n**2 + 5
Let l be (2 - 2)/((-6)/(6/2)). Let m(t) = 3*t**2 - t + 247. Let p be m(l). Let n(c) = 2*c**2 + 247*c - p*c. Let v(a) = 21*a. Give v(n(d)).
42*d**2
Let i(u) = 11438*u + 2. Let p(z) = -25*z**2 + 3. What is i(p(w))?
-285950*w**2 + 34316
Let u(y) = y**2 + 37 - 37. Let r = 168 + -166. Let b(q) = -q - 1. Let z(s) = 19*s + 3. Let v(x) = r*z(x) + 6*b(x). Calculate u(v(j)).
1024*j**2
Let u(v) = -131*v**2. Let d(l) = 19*l - 426. Let h(f) = -37*f + 746. Let s(p) = -7*d(p) - 4*h(p). Determine s(u(z)).
-1965*z**2 - 2
Let c(z) = 1631*z**2. Let u(l) = l + 56. Give u(c(x)).
1631*x**2 + 56
Let t(b) = -b**2 + 4*b. Let k(m) = -m. Let h(z) = 4*k(z) + t(z). Let j(l) = -10224*l**2 + 20110*l**2 - 10023*l**2. Give h(j(g)).
-18769*g**4
Let g(r) = 30*r**2. Let d(n) be the third derivative of 0*n**4 + 3/20*n**5 + 106*n**2 + 0 + 0*n + 0*n**3. What is d(g(a))?
8100*a**4
Let o(d) = 7*d - 1. Let n(u) = 22*u - 4. Let h(g) = -2*n(g) + 10*o(g). Let l(w) = -2*w**2 - 62*w. Give l(h(c)).
-1352*c**2 - 1404*c + 116
Let u(h) = 108283626*h + 1 - 108283619*h - 1. Let f(r) = 3*r**2 + 3*r**2 + r**2. What is f(u(p))?
343*p**2
Let i(p) = p. Suppose -8 - 4 = 6*s. Let f(a) = 399*a. Let u(n) = -25*n. Let w(r) = s*f(r) - 33*u(r). Calculate w(i(c)).
27*c
Let n(c) = 2*c**2. Let z(v) = 17*v. Let q = -146 - -132. Let o(r) = -r. Suppose g = -g - 4. Let x(f) = g*z(f) + q*o(f). What is n(x(s))?
800*s**2
Let u be (5 + -4)/(-1)*-2. Let f(x) = 75*x**2 - 4*x + 4*x - 77*x**u. Let q(s) be the first derivative of 4*s**3 - 60. Give f(q(b)).
-288*b**4
Let w(n) = 6 + 4*n - 2*n - 6. Let g(b) = 3161*b + 62. Let i be g(4). Let f(z) = 4*z - i + 12706. What is w(f(o))?
8*o
Let f(a) be the first derivative of 0*a**2 + 15 + 1/3*a**4 + 0*a**3 - a. Let j(z) be the first derivative of f(z). Let k(h) = -3*h. Determine k(j(u)).
-12*u**2
Let a(o) = o**2 + 4. Let z(d) = -13*d - 10. Let n(w) = -9*w - 7. Let r(b) = -7*n(b) + 5*z(b). What is a(r(x))?
4*x**2 + 4*x + 5
Let i(u) be the second derivative of u**3/3 + 3*u - 252. Let j(z) = 1038*z**2 + 1. Give j(i(m)).
4152*m**2 + 1
Let d(r) = -25*r. Let h(u) = 475*u - 184. Let q(c) = -238*c + 105. Let p(b) = 4*h(b) + 7*q(b). Give d(p(a)).
-5850*a + 25
Let w(z) = 2*z**2 - 6071. Let n(h) = 9*h. Calculate w(n(j)).
162*j**2 - 6071
Let t(b) = -8*b**2. Let x(j) = 916728*j**2. Calculate x(t(k)).
58670592*k**4
Suppose 3*y + 2*b = 11, b = -3*y - 0*b + 10. Let f = 2362 + -2358. Let s(p) = y*p - 3*p - 3*p + f*p. Let l(w) = 13*w. What is l(s(z))?
13*z
Let s(q) = 4*q. Let h(f) = -97*f**2 - 901*f + 63. What is h(s(n))?
-1552*n**2 - 3604*n + 63
Let m(j) = j**2 + 2*j + 3. Let b(k) = -825*k**2 + 42*k + 63. Let w(s) = -b(s) + 21*m(s). Let i(r) = -4*r**2. Calculate w(i(t)).
13536*t**4
Suppose -137 = -45*m + 42*m - d, d = -2*m + 92. Let b(z) = -88*z + m*z + 42*z. Let o(u) be the first derivative of -u**2 + 1. What is b(o(v))?
2*v
Let h(s) = -2*s. Let m(r) be the third derivative of 0*r**3 + 0 + 41/3*r**4 - 68*r**2 + 0*r. What is h(m(f))?
-6