v**2. Let s(m) = -6*m. Determine a(s(y)).
36*y**2
Let x(c) = 3*c. Suppose 6*i = 12*i - 174. Let v(j) = -31*j. Let u(m) = -435*m. Let k(r) = i*v(r) - 2*u(r). What is k(x(l))?
-87*l
Let y(w) = -12*w. Let t(g) = -18*g. Let r(p) = -3*t(p) + 4*y(p). Let m(i) = -39*i**2. What is m(r(k))?
-1404*k**2
Let m(f) = -6*f**2 + 6*f**2 + 0*f**2 + 5*f**2. Let b(o) = 4*o + 6. Suppose -4*d + 53 = 1. Let l(g) = 9*g + 13. Let w(p) = d*b(p) - 6*l(p). Calculate w(m(y)).
-10*y**2
Let i(w) = -6*w + 15. Let p(j) be the third derivative of -j**4/24 + j**3/3 + 3*j**2. Let c(r) = 2*i(r) - 15*p(r). Let a(t) = 2*t**2. Determine a(c(b)).
18*b**2
Let h(f) = -11*f. Let o(v) = -34*v. Let l(z) = 7*h(z) - 2*o(z). Let n(b) = 0*b + 0*b + 1884*b**2 - 1887*b**2. What is l(n(a))?
27*a**2
Let z(p) = -48*p. Let y(w) = 13*w**2 + 7. Let k(v) = 0 + 4*v**2 + 5*v**2 + 2 - 5*v**2. Let l(d) = 7*k(d) - 2*y(d). Calculate z(l(t)).
-96*t**2
Let h(w) = 3*w - 13*w + 4*w + 8*w. Let i(c) = -9*c**2. Let y(z) = z**2. Let p(x) = -3*i(x) - 21*y(x). Determine p(h(b)).
24*b**2
Let g(h) = h. Let j(c) be the first derivative of -3*c**4/8 + 12*c**2 + 9. Let r(f) be the second derivative of j(f). What is r(g(u))?
-9*u
Let s(k) be the second derivative of k**4/3 - 4*k. Let w(r) = 20*r + 14*r - 50*r + 24*r. Determine w(s(j)).
32*j**2
Let k(y) = -y**2 - 3. Let j(i) = -2*i**2 - 7. Let p(o) = 3*j(o) - 7*k(o). Let n(d) = -d**2 + 13*d. Give n(p(u)).
-u**4 + 13*u**2
Let o(b) = b + 1. Let j(y) = -8*y**2 - 3*y - 3. Let k(m) = m + m - 5*m - 3. Let a be k(0). Let i(c) = a*o(c) - j(c). Let t(s) = 2*s**2. Calculate i(t(w)).
32*w**4
Let g(f) = -2*f. Let h(u) = u**2 - 2*u + 1. Let q(y) = y**3 + 3*y**2 - 3. Let x be q(-3). Let l be h(x). Let t(d) = -4*d + 2 + l*d - 2. Calculate t(g(i)).
-24*i
Let h(w) = 6989*w. Let m(k) = -8*k**2. Give h(m(f)).
-55912*f**2
Let v(i) = 14*i + 34. Let g(q) = 5*q + 12. Let h(z) = -17*g(z) + 6*v(z). Let p(k) = 156*k**2. Give p(h(l)).
156*l**2
Let z(n) = -314*n**2. Let l(g) = -18*g. What is z(l(x))?
-101736*x**2
Let l(j) = -359*j + 4. Let z(f) = 25*f**2. Determine z(l(u)).
3222025*u**2 - 71800*u + 400
Let m(b) = 4*b. Let n(z) be the second derivative of -4*z - 1/12*z**4 + 0*z**3 + 0*z**2 + 0. Give n(m(v)).
-16*v**2
Let a(o) = -14*o**2. Let n be (2 - 1)*(21 - 0). Let f(t) = -3*t + n - 16 - 5. Give f(a(u)).
42*u**2
Let b(l) = 2*l. Let q(s) be the second derivative of 0 - 23/6*s**3 - 29*s + 0*s**2. Calculate b(q(m)).
-46*m
Let u(w) be the second derivative of -3*w**4/4 - w**3/3 - w**2 - 7*w. Let m(h) = -h - 1. Let c(z) = 2*m(z) - u(z). Let o(j) = -2*j. What is o(c(f))?
-18*f**2
Let v(p) = 2*p. Let a be (-2)/8 - 1494/(-24). Let z = -5 - -69. Let h(u) = u + a*u**2 - u - z*u**2. What is h(v(d))?
-8*d**2
Let m(r) = -2*r**2 - 12. Let s(v) = 3*v**2 - 24*v - 12. Let b(l) = l**2 - 10*l - 5. Let x(u) = 12*b(u) - 5*s(u). Calculate x(m(n)).
-12*n**4 - 144*n**2 - 432
Let w(f) = 338*f**2. Let g(t) = 2*t + 5. Calculate g(w(u)).
676*u**2 + 5
Let l(h) = -206*h. Let w(b) be the first derivative of -b**2 + 88. Give l(w(q)).
412*q
Let j(k) = -9085*k**2. Let i(v) = -2*v**2. Give i(j(t)).
-165074450*t**4
Let q(h) = h. Let i(t) = -5*t. Let o(w) = i(w) + 6*q(w). Let f(v) = 598*v**2 + 78. Let y(z) = 31*z**2 + 4. Let s(k) = 2*f(k) - 39*y(k). Calculate s(o(p)).
-13*p**2
Let f(m) be the third derivative of 0*m**3 + 0*m + 0 - 6*m**2 - 1/4*m**4. Let y(b) be the third derivative of -b**5/60 - 35*b**2 + 1. Give y(f(c)).
-36*c**2
Let x(j) be the third derivative of j**5/60 - 7*j**2 + 4. Let k(g) be the first derivative of 4*g**3/3 + 1. What is x(k(f))?
16*f**4
Let r(p) = 7*p. Suppose -2*t - 186 = -186. Let n(m) = -3*m - 17 + 17 + t*m. What is n(r(j))?
-21*j
Let q(b) = 6*b + 27*b - 35*b. Let k(m) = 4*m**2 + 5*m. What is k(q(j))?
16*j**2 - 10*j
Let p(f) be the first derivative of -4*f**3/3 + 9. Let s(w) = -22 + 2*w**2 + 22. Determine s(p(q)).
32*q**4
Let y(g) = 9*g. Let p(v) be the third derivative of 61*v**4/24 + 475*v**2. Determine p(y(n)).
549*n
Let v(z) = 4*z. Suppose 5*s + 5 = 0, 3*g - 5*s = -3*s + 11. Let r(q) = -3*q + 3*q + g*q - q. Give v(r(f)).
8*f
Let q(m) = -8*m**2. Let s(l) = -11*l - 2. Let h(b) = 420*b + 77. Let f(v) = -2*h(v) - 77*s(v). What is q(f(i))?
-392*i**2
Let w(l) = -l. Suppose 4 = -3*t + 5*t. Suppose -g + 0*g - f = 1, 0 = -t*g + 5*f + 5. Let b(h) = g*h + 9*h - h. Calculate b(w(d)).
-8*d
Let z(w) = 16*w**2. Let y(r) = 29974 - 29974 + 7*r**2. Determine z(y(g)).
784*g**4
Let o(v) = -9*v. Let k(y) = 5197*y. Determine o(k(p)).
-46773*p
Let h(v) be the first derivative of -v**2 - 1. Let c(y) = -35*y - 84. Let s(g) = -g - 2. Let b(u) = -c(u) + 42*s(u). Give b(h(w)).
14*w
Let t(h) = 0 + 52*h + 0 - 25*h - 29*h. Let p(i) = 41*i. Determine t(p(q)).
-82*q
Let t(j) = -22*j - 9. Let g(s) = -2*s - 1. Let f(u) = -18*g(u) + 2*t(u). Let z(x) = -4*x + 3. Let d(h) = 7*h - 5. Let i(b) = 3*d(b) + 5*z(b). What is f(i(q))?
-8*q
Let q(y) be the second derivative of 0 + 0*y**2 + 9*y + 7/12*y**4 + 0*y**3. Let d(p) be the third derivative of -p**5/30 + p**2. Determine d(q(m)).
-98*m**4
Let r(n) = 85*n. Let s(x) = 6 + 2*x - 8 - 4*x + 2. Give r(s(v)).
-170*v
Let x(f) = -f. Let h(p) = p + 1. Let v(a) = 2 + a - 7*a + 9*a. Suppose 3*l + l = 8. Let u(y) = l*h(y) - v(y). What is u(x(s))?
s
Let m(c) = 3682114*c**2 + 2*c. Let r(k) = -k. Determine m(r(y)).
3682114*y**2 - 2*y
Let o(s) = 7*s. Suppose -170 - 72 = -n. Let c(f) = -242*f + n*f - f**2. Determine c(o(u)).
-49*u**2
Let u(a) = 18*a**2 + a - 100. Let h(q) = 2*q. What is u(h(o))?
72*o**2 + 2*o - 100
Let g(c) = 18*c. Let p(l) = 65*l**2 - 27. Determine p(g(o)).
21060*o**2 - 27
Let q(l) be the second derivative of l**4/12 + l. Let b(c) be the second derivative of c**3 - 2*c - 41. What is q(b(h))?
36*h**2
Let i(o) = -118*o - 89*o - 133*o - 45*o - 27*o. Let d(y) = -y. Give i(d(j)).
412*j
Let z(p) = -p**2 + 2009*p - 2009*p. Let j(u) = -6*u**2. Calculate j(z(l)).
-6*l**4
Suppose -5*u + u = -8. Let s(z) = 0*z**2 + 3*z**u - 5*z + 5*z. Let l(p) = 4*p + 6. Let v(h) = -3*h - 5. Let a(q) = 5*l(q) + 6*v(q). Determine s(a(d)).
12*d**2
Let r(n) = -4*n**2. Let d(y) = -117*y**2 + 12*y + 108. Let h(f) = -9*f**2 + f + 8. Let s(t) = 2*d(t) - 27*h(t). What is s(r(g))?
144*g**4 + 12*g**2
Let j(h) = -7*h**2. Let r(d) = 3 - 3*d - 4 - 32*d + 1. Give j(r(o)).
-8575*o**2
Let z be -3 - (-7 - -1) - -1. Suppose -d - 9 = -2*q, -z*q - 5 + 3 = 2*d. Let r(w) = -w + 4*w + q*w - 4*w. Let x(v) = -6*v**2. What is x(r(a))?
-6*a**2
Let q(u) = 25*u - 1211 + 1211 - 10*u - 13*u. Let t(n) = 326*n**2 - 3*n. Determine q(t(f)).
652*f**2 - 6*f
Let r(s) be the second derivative of 2*s**4/3 + 5*s**2 + 23*s + 1. Let t(i) = -2*i**2. What is r(t(f))?
32*f**4 + 10
Let l = -1878 + 1878. Let g(m) be the third derivative of 1/60*m**5 + l*m**3 + 11*m**2 + 0*m**4 + 0 + 0*m. Let o(p) = 10*p. Give g(o(i)).
100*i**2
Let r(d) = -2*d - 209. Let s(f) = 825*f**2 - 1. Calculate r(s(g)).
-1650*g**2 - 207
Let d(a) = -5*a**2 + 101 + 87 - 193. Let s(b) = 8*b - 9*b + 2*b. What is d(s(u))?
-5*u**2 - 5
Let q(j) = j. Let v(m) = -22*m**2 + 2479*m. Determine q(v(z)).
-22*z**2 + 2479*z
Let k(b) be the first derivative of b**3/3 - 17. Let p(j) = 7*j**2. Calculate p(k(z)).
7*z**4
Let s(w) = -204*w. Let p(m) = 8*m + 76. What is s(p(k))?
-1632*k - 15504
Let y(z) = 9*z + 9. Let g(i) = 19*i + 51. Give g(y(h)).
171*h + 222
Let k(l) = 3*l**2 - 5*l + 5*l - 2*l**2. Let y(p) = -7*p**2 - 2*p + 2. Let h(n) = 27*n**2 + 9*n - 9. Let w(r) = -2*h(r) - 9*y(r). Calculate w(k(q)).
9*q**4
Let s(a) be the first derivative of a**2/2 + a - 13. Let f(l) = 2*l**2 + 3*l + 3. Let d(j) = -f(j) + 3*s(j). Let u(o) = 15*o. Determine u(d(v)).
-30*v**2
Let f(j) = 20*j + 4. Let x(a) = -10247*a**2. What is f(x(p))?
-204940*p**2 + 4
Let f(m) = -63578*m. Let r(l) = l. Give f(r(x)).
-63578*x
Let l(y) = 26*y**2. Let k(i) = 10*i - 24. Let u(g) = 22*g - 52. Let r(s) = -13*k(s) + 6*u(s). Determine l(r(j)).
104*j**2
Let u(h) be the third derivative of h**5/60 - 376*h**2. Let f(a) = 106*a + 3. Give f(u(z)).
106*z**2 + 3
Let k(u) = -12372*u. Let p(c) = -5*c**2. Calculate p(k(v)).
-765331920*v**2
Let x(f) = 18*f + 48. Let q(y) = -4*y - 10. Let u(l) = 24*q(l) + 5*x(l). Let p(i) = -46*i. Give p(u(v)).
276*v
Let p(l) = 4*l - 6*l**2 - 4*l. Let n(q) = -2*q - 22. Let i(x) = x + 12. Let v(a) = 11*i(a) + 6*n(a). What is v(