22252*w**2 + 36936*w - 12
Let b(h) be the second derivative of h**4/12 + 8*h**2 - 4*h - 228. Let l(w) = -15*w. Determine l(b(d)).
-15*d**2 - 240
Let t(p) = -4*p**2 + 43*p - 5. Let c(i) = 881*i**2. What is t(c(k))?
-3104644*k**4 + 37883*k**2 - 5
Let f(l) be the third derivative of -7*l**4/8 + 2*l**2 - 1848*l + 2. Let p(n) = 386*n. Determine f(p(g)).
-8106*g
Let p(n) = 586*n - 2002*n + 421*n + 190*n + 292*n. Let w(i) = i**2. Determine p(w(y)).
-513*y**2
Let u(r) = -7 - 4365*r + 8734*r - 4364*r. Let z(v) = -29*v**2. What is z(u(f))?
-725*f**2 + 2030*f - 1421
Let m(u) = 83*u + 2. Let y(k) = -784*k + 15. Let r(g) = -18*m(g) - 2*y(g). Let z(j) = -3*j**2. Give z(r(c)).
-16428*c**2 + 29304*c - 13068
Let z(f) = 78660*f**2 - 45. Let o(t) = -5*t. Calculate z(o(n)).
1966500*n**2 - 45
Let w(z) = -4*z**2. Let a(x) = 357096*x. Calculate a(w(v)).
-1428384*v**2
Let j(x) = -29*x**2. Let r(c) = -101*c - 210. Give r(j(z)).
2929*z**2 - 210
Let k(q) be the first derivative of 0*q**4 + 0*q**3 + 0*q - 17 + 1/2*q**2 - 1/12*q**5. Let l(g) be the second derivative of k(g). Let p(x) = 5*x. Give l(p(m)).
-125*m**2
Let k(b) = -3*b - 201141. Let i(x) = x**2. Give k(i(j)).
-3*j**2 - 201141
Let f(c) be the first derivative of -13*c**2/2 - 4*c - 2335. Let b(m) = 3*m + 3. Give f(b(z)).
-39*z - 43
Let v(w) = 111885*w**2 + 21*w. Let a(g) = 14*g. Calculate v(a(y)).
21929460*y**2 + 294*y
Let i(c) = 3*c**2 - 299523*c - 19. Let r(w) = -2*w. Determine i(r(g)).
12*g**2 + 599046*g - 19
Let b(s) be the third derivative of -s**5/60 + 19*s**3/6 + 48*s**2. Let r(v) be the first derivative of b(v). Let f(p) = -41*p**2. Determine f(r(a)).
-164*a**2
Let i(y) = -11*y**2. Let q(k) = k**2 - 26*k - 236. Let r be q(34). Let t(p) = -120*p + r*p + 37*p + 40*p. What is i(t(v))?
-539*v**2
Let c(a) = 22*a - 58*a + a**2 + 36*a. Let k(o) = -169*o + 3. Calculate k(c(g)).
-169*g**2 + 3
Let z(q) = -7*q**2. Suppose 33 + 21 = 6*n. Let d(o) = -n*o**2 - 366*o + 366*o. What is d(z(i))?
-441*i**4
Let j(f) be the second derivative of -2*f**3 - f**2 - 726*f. Let u(p) = -22*p**2. What is j(u(r))?
264*r**2 - 2
Let u(y) = -17*y**2 - 5. Let z(o) = -2 + 161*o**2 - 326*o**2 + 1 + 162*o**2. Let k(a) = -u(a) + 5*z(a). Let w(n) = 8*n**2 - 1. Determine w(k(b)).
32*b**4 - 1
Let b(k) be the second derivative of 1/2*k**4 + 0*k**2 + 2 + 17*k + 0*k**3. Let g(i) = 3*i. Determine g(b(f)).
18*f**2
Let h be 2/6 + (-19)/((-228)/344). Let y(u) = -28*u**2 - h*u**2 + 74*u**2 - 19*u**2. Let k(s) = 26*s**2. Calculate y(k(n)).
-1352*n**4
Let u(y) be the second derivative of 8*y**3/3 + y**2 - 11*y. Let a(x) be the third derivative of -x**4/8 - x**2 - 211*x. Give a(u(g)).
-48*g - 6
Let k(z) = 27*z. Let j(f) be the first derivative of -156*f**2 + 10208. What is k(j(v))?
-8424*v
Let b(c) = -c. Suppose -p - 41 = 2*t + 4*p, -5*p - 45 = 0. Let m(o) be the first derivative of -30 + 0*o + 3/2*o**t. Determine m(b(q)).
-3*q
Let n(o) = -1806*o + 938*o + 898*o. Let c(t) = -68*t. What is c(n(x))?
-2040*x
Let h(q) = 199*q**2 - 3*q. Let d(w) = 2*w**2 + 130*w. Let j(x) = x**2 + 78*x. Let i(f) = 6*d(f) - 10*j(f). Calculate h(i(n)).
796*n**4 - 6*n**2
Let c(k) = k - 9995*k**2 - k - 10005*k**2 + 20003*k**2. Let t(l) = -8*l**2 - 3. Let a(p) = 280*p**2 + 104. Let s(x) = -6*a(x) - 208*t(x). Give s(c(r)).
-144*r**4
Let r(c) = 30*c**2 + 4*c - 3. Let b(j) = -60*j**2 - 7*j + 5. Let m(g) = 3*b(g) + 5*r(g). Let y(a) be the first derivative of a**3 - 44151. Determine y(m(o)).
2700*o**4 + 180*o**3 + 3*o**2
Let i(a) = -a**2 + 19. Let n(q) be the second derivative of q**4/24 - 48*q**2 + 8*q - 7. Let p(v) be the first derivative of n(v). Calculate i(p(o)).
-o**2 + 19
Let i(w) = -4*w. Let p = 132 - 87. Suppose -8*h + 13*h - p = 0. Let o(y) = -6*y + h*y - y. Determine i(o(m)).
-8*m
Let d(r) = 2*r**2. Let j(g) = 137*g + 263*g + 296*g - 1096*g + 168*g. Determine d(j(i)).
107648*i**2
Let u(q) = -2*q. Let f(p) = 0 - 3*p + 0 + 2*p + 18536*p**2 - 18449*p**2. Calculate u(f(h)).
-174*h**2 + 2*h
Let b(y) = 231*y**2. Let a(m) = -3*m**2 - 11*m - 137. Calculate a(b(w)).
-160083*w**4 - 2541*w**2 - 137
Let y(c) be the second derivative of 11*c**4/12 - 25*c**3/6 - 20*c + 1. Let w(i) = -2*i**2. Determine y(w(s)).
44*s**4 + 50*s**2
Let s(t) = t**2. Let x(g) = -2*g + 28. Let d(h) = 260*h + 109. Let c(w) = -d(w) + 4*x(w). Give s(c(y)).
71824*y**2 - 1608*y + 9
Let i(v) = -2*v**2. Let m(w) be the first derivative of 119*w**4/24 - w**2/2 + 22*w + 124. Let c(t) be the second derivative of m(t). Calculate c(i(g)).
-238*g**2
Let b(n) = -5*n. Let l(u) = -358*u + 620*u - 348*u. Give l(b(s)).
430*s
Let q(s) = 441568*s. Let a(h) = -121*h**2. Calculate a(q(c)).
-23592858133504*c**2
Let g(l) = -2*l**2. Let s(w) = -33105699*w. Give s(g(m)).
66211398*m**2
Let o(p) = -p. Let u(b) = -b**2 + 3*b. Let m = -63 - -64. Let i(w) = m*u(w) + 3*o(w). Let s(x) = x. Calculate i(s(a)).
-a**2
Let i(l) = -453*l**2. Let s(h) = 277799*h - 2*h**2 - 8 - 277799*h + 8. Determine s(i(k)).
-410418*k**4
Let u(s) be the second derivative of -5*s**4/2 + s**2 - 4*s + 5. Suppose -g - 1 = -0*g - 3*j, -j + 12 = 2*g. Let b(i) = 3*i - 5*i + 5*i - g*i. Give u(b(r)).
-120*r**2 + 2
Let l(f) = 9*f**2. Let j(a) = 71662*a - 32. Give j(l(s)).
644958*s**2 - 32
Let r(z) be the second derivative of z**5/24 - 4*z**4/3 + 7*z**3/2 - 29*z - 2. Let v(b) be the second derivative of r(b). Let p(n) = 2*n. Give v(p(j)).
10*j - 32
Let i(z) = 2*z + 210. Let p(l) = -75*l**2 - 71*l. What is i(p(j))?
-150*j**2 - 142*j + 210
Let v(o) = 6*o + 4. Let b(m) = -m - 1. Let p(q) = -4*b(q) - v(q). Let z(y) be the second derivative of -9*y**3/2 - 16*y + 2. Determine z(p(l)).
54*l
Let g(f) = 825861*f. Let t(i) = 11*i. Give g(t(z)).
9084471*z
Let i(h) = -113 - h + 4*h - 13*h + 113. Let p(b) = -33*b**2 - b. Give i(p(m)).
330*m**2 + 10*m
Let i(l) = 35*l - 5*l - l + 28 - 28*l + 0*l. Let t(f) = -24*f**2. What is t(i(y))?
-24*y**2 - 1344*y - 18816
Let t(u) = 25827*u - 119. Let g(h) = -h. Give g(t(i)).
-25827*i + 119
Let y(n) = -19*n**2 - 2. Let t(u) be the second derivative of u**3 - 263*u + 7. What is y(t(f))?
-684*f**2 - 2
Let u be (-304)/(-12) + 1/(-3). Suppose -u = -4*l + 23. Let d(p) = 93 - 93 + l*p - 5*p. Let k(j) = 4*j**2. Determine k(d(w)).
196*w**2
Let a(w) = -8*w - 51841. Let p(h) = 2*h + 9. What is p(a(g))?
-16*g - 103673
Let a(k) = -2*k - 3. Let h = -17 + 31. Let t(j) = 10*j + 14. Let d be (-1*2)/(-1 + (-5)/(-15)). Let z(s) = d*t(s) + h*a(s). Let g(y) = 11*y. Calculate z(g(c)).
22*c
Let h(m) = 515*m**2 - 285*m**2 - 231*m**2. Let f(n) = 69*n + 1. Determine f(h(a)).
-69*a**2 + 1
Let z(m) be the first derivative of -22*m**3/3 - 2281. Let b(o) = o. What is b(z(d))?
-22*d**2
Let g(m) = -3*m**2. Let j(v) = 551*v**2 - 1293*v**2 + 679*v**2. Calculate g(j(w)).
-11907*w**4
Let m(z) = -2*z**2. Let p(s) = 0 + 5 - 372*s + 370*s - 4. Let d(l) = 119*l**2 + 4*l - 2. Let j(u) = -d(u) - 2*p(u). Calculate j(m(b)).
-476*b**4
Let o(g) be the second derivative of 2*g**3/3 + 791*g - 1. Let d(i) = 17*i**2 - 6. Give d(o(p)).
272*p**2 - 6
Let a(n) = -11*n**2. Let c(o) = 3*o**2 + 130730*o + 3. Give c(a(f)).
363*f**4 - 1438030*f**2 + 3
Let l(m) = -7*m - 132. Let g(f) = -68*f - 1351. Let p(d) = 3*g(d) - 29*l(d). Let w(y) = 27*y. What is p(w(i))?
-27*i - 225
Let c(x) = -5*x. Suppose 1 = -3*h + 7. Let o(r) = -11*r**2 + 9*r**2 + 0*r**2 + 10*r**h. Give o(c(k)).
200*k**2
Let f(m) = -34*m. Let a(w) be the first derivative of -6*w**2 + 4*w**2 + w - w - 17. Calculate a(f(z)).
136*z
Let d(b) = 3*b**2. Let c = -8 - -12. Suppose -34 = -c*z - 2*m, -5*z - m + 38 = -0*z. Let p(l) = -3*l**2 - z*l**2 + 9*l**2. Give p(d(x)).
-9*x**4
Let s(r) = 7*r - 106. Let h(g) = -22*g + 356. Let u(v) = -3*h(v) - 10*s(v). Let l(c) = 43*c**2. What is u(l(x))?
-172*x**2 - 8
Let q(b) = -33*b + 3 + 12*b - 13 + 34*b. Let v(w) = 32*w - 24. Let g(z) = -12*q(z) + 5*v(z). Let t(m) = 27*m. Calculate g(t(r)).
108*r
Let d(v) = 451*v. Let n(g) = 40*g**2 - 5*g - 5. Let f(a) = -21*a**2 + 3*a + 3. Let o(p) = 5*f(p) + 3*n(p). Determine o(d(i)).
3051015*i**2
Let q(n) be the first derivative of -n**3/3 - 1283. Let f(s) = -112*s**2. Determine q(f(i)).
-12544*i**4
Let w(y) = 175*y - 1923. Let l be w(11). Let i(t) be the third derivative of 41/24*t**4 + 0*t**3 + 0*t + l*t**2 + 0. Let c(b) = -2*b**2. Give i(c(s)).
-82*s**2
Let l(x) = -2*x. Let z(f)