*2 - 1
Let k(r) = 115*r**2 + 78*r**2 + 88*r**2 - 258*r**2. Let w(o) = -242*o**2. Determine k(w(y)).
1346972*y**4
Let v(q) = -6149*q**2. Let y(p) be the third derivative of -p**5/20 - 4*p**2 - 259. What is y(v(j))?
-113430603*j**4
Let x(j) be the first derivative of 3*j**2/2 - 8*j - 1. Let u(f) = f + 3008 - 6017 + 3009. Give u(x(d)).
3*d - 8
Let z(y) = -52*y. Let s(l) = -858*l - 191. Let r be s(-4). Let p(t) = -6477*t + r*t + 3238*t. Calculate p(z(u)).
-104*u
Let o(r) be the third derivative of 0*r**3 + 0 + 0*r + 251/12*r**4 - 5*r**2. Let z(h) = h. Give z(o(f)).
502*f
Let g(a) = -36*a - 5. Let f(p) = -31*p - 4. Let j(y) = -5*f(y) + 4*g(y). Let l(v) = -27*v. Let k(m) = -m. Let z(b) = 36*k(b) - l(b). What is z(j(i))?
-99*i
Let r(b) = 3*b**2. Let s(z) = 538750*z - 2. Give s(r(k)).
1616250*k**2 - 2
Let k(b) = 3054205*b**2. Let d(q) = 20*q. Give k(d(g)).
1221682000*g**2
Let i(g) = -g**2. Let a(t) = -6*t**2 + 525885*t - 3. What is a(i(v))?
-6*v**4 - 525885*v**2 - 3
Let w(m) be the third derivative of -25*m**4/24 - 9922*m**2. Let z(x) = -339*x. Calculate w(z(s)).
8475*s
Let k(h) = 14*h. Let f(y) = -162*y**2 - 2*y + 1595. Determine f(k(t)).
-31752*t**2 - 28*t + 1595
Let p(n) = -n**2. Suppose -4*c - 100 = 2*w, -5*c + 3*w = -w + 99. Let d = c + 25. Let b(v) = -25*v**d - 9*v**2 - 2*v**2. Determine p(b(x)).
-1296*x**4
Let p(u) = -19*u**2. Let j(s) = -1502612*s. Calculate j(p(q)).
28549628*q**2
Let w(t) be the second derivative of 134*t**4/3 - 644*t. Let u(c) = -4*c**2. What is w(u(q))?
8576*q**4
Let x(m) = -43*m**2. Let q(f) be the second derivative of 0*f**3 - 1 - 5/12*f**4 + 42*f + 0*f**2. Give q(x(t)).
-9245*t**4
Let v(x) be the second derivative of -x**4/2 - x**2/2 - 728*x. Let i(h) = -2*h. Determine i(v(d)).
12*d**2 + 2
Let v(f) = -2*f. Suppose 4*u = -61 + 105. Let l(d) = -28*d - 47*d + u*d. Give v(l(m)).
128*m
Let k(d) = 419832*d**2. Let j(t) = 51*t - 2. Calculate j(k(u)).
21411432*u**2 - 2
Let y(m) = -11*m. Let i(f) = 21*f. Let u(r) = -2*i(r) - 5*y(r). Let z(t) = 8*t**2 - 14. Let o(j) = -6*j**2 + 12. Let a(k) = 7*o(k) + 6*z(k). What is u(a(x))?
78*x**2
Let y(f) = 13*f. Let t(s) = -15*s. Let q(d) = 445*d. Let g(b) = q(b) + 20*t(b). What is g(y(c))?
1885*c
Let z(c) = -c**2. Let d(f) = 44*f**2 - 6*f - 4. Suppose 196*l = 190*l - 18. Let p(h) = 86*h**2 - 14*h - 9. Let k(n) = l*p(n) + 7*d(n). Determine z(k(t)).
-2500*t**4 + 100*t**2 - 1
Let q(k) = 16*k. Let t(p) = -p - 2. Let y(b) = 4*b + 4. Let n(f) = 10*t(f) + 6*y(f). Let h(d) = -3*d - 1. Let c(r) = -4*h(r) - n(r). Determine c(q(u)).
-32*u
Let y(m) = 4*m**2. Let x(w) be the first derivative of 0*w**2 + 36 + 0*w - 22/3*w**3. What is y(x(b))?
1936*b**4
Let n(w) = -w**2. Let s(k) = -30 - 301*k - 30 - 31 - 31 + 119. Determine n(s(g)).
-90601*g**2 - 1806*g - 9
Let a(c) = -6*c. Let h(k) = 719228*k**2. Calculate h(a(n)).
25892208*n**2
Let b(f) = -7*f**2. Let r(v) be the third derivative of v**4/24 + 55*v**3/6 + 1179*v**2. Give b(r(w)).
-7*w**2 - 770*w - 21175
Let w(d) be the first derivative of 4*d**3/3 + 31*d + 9. Let j(o) be the first derivative of o**2 - 2899. What is j(w(a))?
8*a**2 + 62
Let v(s) = 283*s. Let r(b) = -3332*b - 38. Calculate v(r(c)).
-942956*c - 10754
Let t(u) = 3*u**2. Let z = 584 - 587. Let d(p) = 6*p**2 + p**2 + p**2. Let q(v) = -4*v**2. Let c(y) = z*d(y) - 7*q(y). Calculate c(t(h)).
36*h**4
Let m(o) = 153384*o. Let f(z) = -2*z - 26. Calculate f(m(h)).
-306768*h - 26
Let j(l) = l. Let i(y) = 44*y + 1. Let z(s) = -44*s. Let m be 32/272 + 66/17. Let g(b) = m*z(b) + 3*i(b). Calculate j(g(v)).
-44*v + 3
Let i(j) = 9*j - 7. Let b(z) be the second derivative of z**6/360 - 10*z**3 - z + 2. Let o(k) be the second derivative of b(k). Calculate i(o(h)).
9*h**2 - 7
Let f(v) = -15*v**2 + 2. Let i(j) = 1175*j + 210. Let l(m) = 261*m + 53. Let q(u) = -2*i(u) + 9*l(u). Determine f(q(o)).
-15*o**2 + 1710*o - 48733
Suppose 2*u = 2*i + 8, -u = -i + 3*u - 16. Suppose -f + a + 3 = i, -f + 5*a + 4 = 3*a. Let z(d) = 2*d**2 + 4*d**2 - f*d**2. Let l(n) = -3*n. Calculate z(l(b)).
36*b**2
Let i(r) = -2*r**2. Let l(t) be the second derivative of t**5/30 - 23*t**3/2 + 143*t**2/2 - 68*t. Let k(h) be the first derivative of l(h). Calculate i(k(d)).
-8*d**4 + 552*d**2 - 9522
Let f(z) = -10*z. Let t(n) = -121515*n - 1. Determine t(f(a)).
1215150*a - 1
Let g(f) be the second derivative of -f**4/6 - f. Let a(q) be the third derivative of -11/60*q**5 + 6 + 0*q**4 + 0*q**3 + 2*q**2 + 0*q. Determine g(a(y)).
-242*y**4
Let n(u) = -25*u**2. Let c(q) be the third derivative of -q**6/60 + 15*q**3/2 - 2*q**2 - 2. Let h(o) be the first derivative of c(o). Calculate n(h(x)).
-900*x**4
Let b(n) = 1192*n**2 + 80*n + 5. Let k(t) = -595*t**2 - 32*t - 2. Let m(q) = -2*b(q) - 5*k(q). Let z(a) = 4*a**2. Give z(m(p)).
1397124*p**4
Let w(b) = -3 - 25*b + 9*b + 6*b. Let g(a) = 15*a**2 + 12*a - 8. Let n(t) = 205*t**2 + 165*t - 110. Let f(y) = -55*g(y) + 4*n(y). Calculate w(f(m)).
50*m**2 - 3
Let y(c) = 6*c**2. Let m(b) be the first derivative of -237*b**2 + 2329. Determine m(y(v)).
-2844*v**2
Let v(n) = -309780*n**2. Let a(q) = 684*q**2. Calculate v(a(t)).
-144932431680*t**4
Suppose -1136*j + 1146*j - 20 = 0. Let a(w) = 418294*w - 418294*w - j*w**2. Let l(n) = 2*n - 138. What is l(a(b))?
-4*b**2 - 138
Let q(u) be the first derivative of -12 - 1/2*u**2 + 0*u. Let l(s) = -s - 1. Let n(z) = -z**2 - 4*z + 10. Let h(k) = 4*l(k) - n(k). Calculate q(h(f)).
-f**2 + 14
Suppose 11*p = 43*p. Let y(g) = 4*g - 2*g + 3*g - 4*g + p*g. Let i(f) = -101*f**2. Give y(i(t)).
-101*t**2
Let l(b) = 5*b**2. Let r(z) = 13742*z**2 - 6878*z**2 - 6874*z**2. Give l(r(s)).
500*s**4
Let q(j) = -8*j. Suppose 0 = 4*a - 1022 + 222. Let s(t) = -a*t - 209*t + 410*t. Give s(q(l)).
-8*l
Let w(b) be the second derivative of -127*b**4/12 - 1119*b + 1. Let d(f) = -17*f**2. Calculate d(w(g)).
-274193*g**4
Let k(m) = 24*m - 5. Let w(j) be the second derivative of j**6/180 - j**3/6 + 33*j**2/2 + 71*j. Let p(v) be the second derivative of w(v). Calculate k(p(a)).
48*a**2 - 5
Let f(c) be the first derivative of -34*c**3/3 + 3987. Let r(n) = -2*n**2 - 8*n. Let v(l) = l**2 + 3*l. Let h(g) = 3*r(g) + 8*v(g). What is h(f(s))?
2312*s**4
Let s(z) = 2*z**2. Let a(t) = 1987*t + 631*t + 5251*t - 413*t. Calculate a(s(u)).
14912*u**2
Let t(m) = 11317*m**2 + 1022470*m - 1022470*m. Let o(r) = -r. Calculate t(o(u)).
11317*u**2
Let b(r) = -221*r - 1. Let v(u) = u**2 + 2*u - 404. Calculate v(b(k)).
48841*k**2 - 405
Suppose -4*h = -2*q - 68, 8*h - 66 = 4*h + q. Suppose -4*w = -h + 8. Let z(t) = -506*t + 506*t + 21*t**w. Let l(y) = -3*y. What is l(z(g))?
-63*g**2
Let y(c) be the first derivative of -3*c**2 - 755. Let p(q) = -q + 4. Calculate y(p(n)).
6*n - 24
Let j be 4/(-18) + 10/(-72)*-16. Let l(g) = 796*g - 796*g - g**j. Let w(i) = 169*i**2. Calculate w(l(s)).
169*s**4
Let c(m) be the third derivative of 0*m**4 + 0*m + 0 + 0*m**3 - 2*m**2 + 2/15*m**5. Let o(u) = -221*u**2 - 216*u**2 + 436*u**2. Determine o(c(g)).
-64*g**4
Let c(i) = 17*i**2. Let q(x) = -3*x**2 + 6*x + 3. Suppose -g - 246 = -249. Let k(h) = 10*h**2 - 16*h - 8. Let j(l) = g*k(l) + 8*q(l). Determine j(c(v)).
1734*v**4
Let t(k) = 9 - 21 - 2*k**2 + 12. Suppose 4 = 2*g - 0. Let j(q) = -15*q**g + q - q. What is j(t(o))?
-60*o**4
Let w(o) = -13*o. Let f(h) be the first derivative of -1015 + 3*h + 860 - h**2 - 3*h. Give f(w(x)).
26*x
Let y(m) = 2*m. Let n(k) = 1744*k**2 + 8*k + 77. What is n(y(s))?
6976*s**2 + 16*s + 77
Let h(l) be the first derivative of -109 + 247 - 11 + l**2. Let p(v) = v + 48. Let d(a) = -a - 49. Let c(t) = -6*d(t) - 7*p(t). Calculate c(h(s)).
-2*s - 42
Let f(q) = -43*q**2 - 19345*q. Let s(p) = -5*p. Calculate f(s(o)).
-1075*o**2 + 96725*o
Let v(t) = -27*t**2 - 4. Let x(y) = 1. Let f(b) = -v(b) - 4*x(b). Let w(g) be the second derivative of -g**4/12 - 33*g. Give w(f(j)).
-729*j**4
Let l(x) be the third derivative of 15*x**4/2 + x**3/3 + 1072*x**2. Let c(i) = 7*i**2. Determine c(l(d)).
226800*d**2 + 5040*d + 28
Let t(c) = 7766204*c. Let u(m) = -m + 7. Determine t(u(j)).
-7766204*j + 54363428
Let i(a) = 46*a - 4. Let z(k) = -804*k + 70. Let h(p) = 35*i(p) + 2*z(p). Let j(o) = 406*o**2 + o + 3. Calculate h(j(r)).
812*r**2 + 2*r + 6
Let a(p) = 4*p**2 - 2*p**2 - p**2. Suppose 4*l - 2*v - 15 = 3*l, 0 = -5*l - 5*v + 15. Let w