d derivative of -a**3/2 - 15*a + 32. Determine c(n(k)).
372*k
Let z(x) = 37354*x**2. Let w(p) = -2145*p. Determine z(w(b)).
171866687850*b**2
Let k(t) = -3*t + 4*t + 2 - 2. Let s(p) = -20*p - 976. Let u(m) = -61. Let y(h) = -s(h) + 16*u(h). Give k(y(a)).
20*a
Let p(f) = 73929613*f. Let k(z) = z**2. Calculate p(k(l)).
73929613*l**2
Let w(b) = -9*b - 83. Let n(r) = 4*r + 41. Let a(u) = 7*n(u) + 3*w(u). Let v(l) be the third derivative of -l**4/12 + 59499*l**2 + 4. Determine v(a(f)).
-2*f - 76
Let i(j) = -3*j. Let p(g) = 37780 - 75561 + 37782 - 256*g**2. What is i(p(y))?
768*y**2 - 3
Let r(n) = 11*n. Suppose -x = -3*x + b + 13, x - 5*b = 20. Suppose 3*o + x*y = 29, -5*y = o - 27 + 4. Let t(l) = 3*l - o*l - l + 4*l. Give t(r(d)).
33*d
Let f(r) = 2*r. Let v(y) = -422*y + 12. Let l(u) = -39663*u + 1130. Let t(h) = 6*l(h) - 565*v(h). What is f(t(b))?
904*b
Let x(u) = 2*u. Let j(t) = 2*t**2 - 5341928*t. What is j(x(z))?
8*z**2 - 10683856*z
Let w(g) = -18 + 93 - 75 + 99*g**2. Let h(a) = -a**2. What is w(h(d))?
99*d**4
Let b(j) = 3*j - 2*j - 2*j. Let p(h) be the second derivative of -2*h**3/3 - 5*h**2 - 152*h - 7. What is p(b(c))?
4*c - 10
Let y(q) = -22*q**2. Let k(b) = -103554*b**2 + 6. Give k(y(v)).
-50120136*v**4 + 6
Let i(x) = 2*x. Let t(k) be the third derivative of k**6/90 - 13*k**4/12 + 44*k**3/3 - 7*k**2 - k. Let s(g) be the first derivative of t(g). Give i(s(a)).
8*a**2 - 52
Let p(j) = -7*j. Let t(y) = -61*y**2 + 83*y - 16*y - 67*y. Determine p(t(f)).
427*f**2
Let t(c) = c**2. Let u = 819 + -484. Suppose 4624 = 2*z + 4*x, -7256 = -3*z - x - u. Let w(i) = -2306 - 9*i + z. What is t(w(s))?
81*s**2
Let b(t) = 5754*t - 64. Let k(v) = -v - 21. What is b(k(j))?
-5754*j - 120898
Let n(z) = -6*z**2 + 2. Let t(m) = 19*m + 10. Let h(p) = -66*p - 45. Let y(u) = -2*h(u) - 9*t(u). Give n(y(v)).
-9126*v**2 + 2
Let p(f) = f. Let q(d) = 5108*d + 16. Let v(c) = 1703*c + 5. Let a(t) = -6*q(t) + 19*v(t). Give a(p(i)).
1709*i - 1
Let u(c) = -66*c. Let y(h) be the first derivative of -57 + 0*h**2 - 2/3*h**3 + 0*h. Give y(u(o)).
-8712*o**2
Let k(u) = 3*u. Let y(z) = 101 - z - 421 + 102 + 104 + 102. Calculate y(k(m)).
-3*m - 12
Let l(q) = 4*q - q - 2*q. Let w(m) = 71*m**2 + 115*m - 16. Let s(p) = -47*p**2 - 79*p + 11. Let g(o) = 16*s(o) + 11*w(o). Give l(g(u)).
29*u**2 + u
Let j(d) = 257*d**2 + 3 - 3. Let i(c) be the third derivative of c**5/60 - c**2 + 18567. Calculate j(i(q)).
257*q**4
Let f(t) = -328553*t**2. Let l(u) = -33*u. What is f(l(c))?
-357794217*c**2
Let m(n) = -34*n**2 + 3. Let l(k) = 19*k + 20*k + 25*k - 86*k + 17*k. What is m(l(c))?
-850*c**2 + 3
Let f(c) = 9*c**2 - 2*c - 6. Let b(l) = l**2 - l - 12. Let s(n) = 2*b(n) - f(n). Let a(j) = 4*j**2. Give a(s(i)).
196*i**4 + 1008*i**2 + 1296
Let q(j) = j**2 - 260. Let u(o) = 32*o**2 - 45*o - 27. Let t(p) = 7*p**2 - 10*p - 6. Let r(s) = 9*t(s) - 2*u(s). Give r(q(k)).
-k**4 + 520*k**2 - 67600
Let i(b) = 17*b - 13. Let v(n) = 36*n**2 - 35*n. What is i(v(k))?
612*k**2 - 595*k - 13
Let k(x) = 18*x - 2. Let p(o) = -4285941*o. Give p(k(h)).
-77146938*h + 8571882
Suppose b + 4*t = -0 - 4, 5 = -5*t. Suppose -4*c - 3*d + 7*d + 112 = 0, -5*c + d + 160 = b. Let k(z) = -c + 33 - 2*z. Let u(a) = 16*a. Calculate k(u(v)).
-32*v
Let h(f) be the first derivative of -1/3*f**3 - 71 + 0*f**2 + 0*f. Let a(l) = l + 1. Calculate h(a(g)).
-g**2 - 2*g - 1
Let q(x) = x. Let i(w) = 1823*w + 144 - 4*w**2 - 1823*w + 5*w**2. What is q(i(b))?
b**2 + 144
Let s(x) = -2*x**3 - 14*x**2 - 4*x - 26. Let w be s(-7). Let j(g) = 113*g**w - 88*g**2 - 52*g**2. Let p(i) = 0 + 0 + i. What is p(j(l))?
-27*l**2
Let q(f) = 218*f. Let m = -323 + 325. Let l(w) = -69889 - m*w + 69889. What is l(q(k))?
-436*k
Let g(n) = 11*n. Let t(i) = 65160865*i**2. What is g(t(v))?
716769515*v**2
Let g(a) = 12*a - 4. Let c(w) be the third derivative of 1/12*w**4 + 0*w - 53*w**2 + 0*w**3 + 0. Determine g(c(d)).
24*d - 4
Let q(f) be the second derivative of 88*f**3/3 + f + 1384. Let s(m) = -19*m. What is s(q(a))?
-3344*a
Let t(n) = -10*n. Suppose 46*s - 1 = 47*s. Let p(i) = 6*i**2 - i - 1. Let j(q) = -2*q**2 + q + 1. Let l(d) = s*j(d) - p(d). Calculate l(t(c)).
-400*c**2
Let x(r) = -3383737*r**2. Let s(b) = 30*b. Give s(x(o)).
-101512110*o**2
Let f(k) = 2*k**2. Let t(h) = 50*h + 55*h + 47*h - 134 - 137*h. Calculate t(f(n)).
30*n**2 - 134
Let a(w) = w - w - w**2. Let b(o) be the third derivative of 1 + 0*o**4 + 0*o**3 + 0*o + 2*o**2 - 13/30*o**5. What is b(a(q))?
-26*q**4
Let p(u) = -9*u. Let x(w) = 754*w - 24. Let z(a) = -1461997*a + 46528. Let d(m) = -5816*x(m) - 3*z(m). What is d(p(t))?
-6543*t
Let j(s) = 6*s**3 + 17*s**2 - 5*s - 11. Let f be j(5). Let o(n) = -7 + 7 - 1018*n + f*n. Let z(g) = -g**2. Calculate z(o(d)).
-14641*d**2
Let r(l) = -38*l**2 + 34*l - 85. Let w(o) = -13*o**2 + 12*o - 30. Let n(b) = -6*r(b) + 17*w(b). Let j(u) = -207*u + 2. Give n(j(p)).
299943*p**2 - 5796*p + 28
Let i(v) = -41*v + 12. Let w(r) = -116*r + 34. Let n(o) = 17*i(o) - 6*w(o). Let d(z) = -2*z**2 - 233*z. What is d(n(c))?
-2*c**2 + 233*c
Let f(g) = 11*g - 15*g - 7 + 7*g - g - 2. Let k(r) = -4*r**2 - 5. Let o(z) = -z**2 - 1. Let v(u) = -k(u) + 5*o(u). What is v(f(s))?
-4*s**2 + 36*s - 81
Let t(w) = 41*w. Let v(h) = -10*h - 8. Let l(g) = 8*g + 6. Suppose -z + 64 = 15*z. Let x(c) = z*l(c) + 3*v(c). Calculate t(x(k)).
82*k
Let s(c) = 12*c. Let t(y) be the first derivative of 225*y**2/2 - 3159. Give t(s(v)).
2700*v
Let p(f) = -5*f. Let w(m) = -m. Let q(b) = p(b) - 6*w(b). Let h(l) be the second derivative of 0 - 1/3*l**4 + 0*l**3 + 0*l**2 + 13*l. Calculate h(q(s)).
-4*s**2
Let c(k) = -1668*k - 1644*k + 3313*k. Let b(g) = 8395*g. What is b(c(z))?
8395*z
Let u(j) = -657*j. Let a(n) = -64 - 55 + 119 + 3*n. Calculate u(a(z)).
-1971*z
Let w(m) = 145*m - 146*m + 1 + 6 + 2 - 9. Let h(q) be the third derivative of -157*q**5/60 - q**2. Determine w(h(f)).
157*f**2
Let u(i) = -5*i - 4. Let n(s) = 352*s - 3. Give n(u(h)).
-1760*h - 1411
Let h(w) = 10*w**2. Let r(o) = 3*o. Let t(l) = -l + 74 - 7 + 10*l. Let u be t(-8). Let x(v) = -7*v. Let b(d) = u*r(d) - 3*x(d). Determine b(h(s)).
60*s**2
Let a(z) = 7*z + 421. Let y(b) = -251*b - 112*b + 361*b. Give y(a(d)).
-14*d - 842
Let w(y) = -21*y**2 - 3140643. Let i(v) = 3*v**2. What is w(i(r))?
-189*r**4 - 3140643
Let k(o) be the first derivative of -4*o**2 + 1860. Let v(m) = -28*m. Calculate k(v(z)).
224*z
Let s(a) = -4*a - 2. Let c(g) be the second derivative of -g**6/240 + 25*g**4/4 - 7*g + 1. Let h(f) be the third derivative of c(f). What is s(h(j))?
12*j - 2
Let x(v) = 3*v**2 + 2. Let p(k) be the second derivative of 137*k**3/6 + 6448*k. Determine p(x(b)).
411*b**2 + 274
Let a(t) = -7*t**2 + t - t. Let u(c) be the second derivative of c**3/6 + 3*c + 20652. What is a(u(w))?
-7*w**2
Let s(r) = r**2. Suppose -17 = -5*k - y, -86*y + 2 = -85*y. Let p(i) be the second derivative of 0*i**2 + 8*i + 14/3*i**k + 0. Determine p(s(f)).
28*f**2
Let h(t) = -2*t - 25. Let j(r) = 5. Let x(k) = h(k) + 5*j(k). Let u(a) = 524*a**2. Give u(x(l)).
2096*l**2
Let k(t) be the first derivative of 269*t**3/3 - 2*t**2 - 2812. Let u(s) = 2*s. What is k(u(w))?
1076*w**2 - 8*w
Let i(g) = -2*g. Let v(p) = 4 + 12 - 30 + 7 + 173*p. Determine v(i(u)).
-346*u - 7
Let y(x) be the second derivative of 5*x**3/6 - x. Let h(k) = -13*k. Let u(j) = -4*j. Suppose 21*m + 160 + 134 = 0. Let d(r) = m*u(r) + 4*h(r). What is d(y(p))?
20*p
Let b(c) = 2*c**2. Let q(i) be the first derivative of -i**3/3 - 807*i - 2199. Determine q(b(a)).
-4*a**4 - 807
Let j(f) = 3*f**2 - 58. Let u(g) = -3*g - 35. Let a(s) = 9*s + 120. Let y(d) = -7*a(d) - 24*u(d). Calculate j(y(b)).
243*b**2 - 58
Let o(i) = 354962*i. Let g(f) = -21*f + 2. Determine g(o(s)).
-7454202*s + 2
Let l(k) = -2*k**2 + k + 7. Let w(z) = -15*z**2 + 12*z + 28. Let h(n) = -4*l(n) + w(n). Let g(b) = 17*b**2. What is h(g(m))?
-2023*m**4 + 136*m**2
Let x(j) = j**2. Let b(g) = 3*g**2 + g. Let c(z) = 5*z**2 + z. Let u(v) = 4*b(v) - 3*c(v). What is u(x(i))?
-3*i**4 + i**2
Let i(w) = w. Let a(q) be the first derivative of -16 - 9 - 55*q**2 + 20*q**2 - 58*q + 8*q. Let k(s) = 4*s + 3. Let c(z) = 6*a(z) + 100*k(z). Determine i(c(j)).
-20*j
Let g(p) = 11*p. Let t(r) be the first derivative of -16*r**3/3 + 2*r - 1144. What is g(t(j))?
-176*j**2 + 22
Let f(l) = 4*