j**2. Calculate g(h(p)).
-160*p**4
Let y(b) = -69*b. Let d(c) = 1361*c**2. Give d(y(a)).
6479721*a**2
Let w(n) be the first derivative of n**2/2 + 1. Let l be (-2 - 0) + 2 + 2. Let y(m) = -m**l + 4*m**2 - 11*m**2 + m**2. Determine w(y(b)).
-7*b**2
Let c(r) = 41*r - 134. Let y(z) = -38*z**2. Determine c(y(t)).
-1558*t**2 - 134
Let l(n) = -3*n. Let v(p) = 12*p - 9628. Determine l(v(u)).
-36*u + 28884
Let a(j) = -2*j. Let y(m) be the first derivative of 42*m**2 + m - 57. Give y(a(v)).
-168*v + 1
Let l(z) = -43*z + 11*z + 17*z + 33*z. Let q(v) = 7*v**2. What is l(q(s))?
126*s**2
Let d(l) = 7*l**2. Suppose 21*y = 23*y - 22. Suppose h - 2*q = 12, -4*h + 4*q = -21 - y. Let o(i) = 5*i - 14*i + 3*i + h*i. Determine o(d(u)).
-14*u**2
Let u(w) = 2*w + 3. Let n(v) = -1. Let p(f) = 3*n(f) + u(f). Let g(k) = k**2 - k + k. What is p(g(l))?
2*l**2
Let j(v) = 13*v**2. Let n(r) = -133*r. Calculate j(n(i)).
229957*i**2
Let x(k) = -k**2. Let q(w) = w - 5. Let j(t) = -2*t + 6. Let d(s) = -2*j(s) - 3*q(s). Let m(i) = -2*i - 8. Let v(c) = 8*d(c) + 3*m(c). Determine x(v(h)).
-4*h**2
Let d(u) = 8*u - 16. Let p(a) = 3*a - 2. Let t(s) = -2*d(s) + 16*p(s). Let q(z) = 6*z. Determine t(q(b)).
192*b
Let o(b) = -379*b - 4. Let y(f) = 41*f**2. Calculate o(y(r)).
-15539*r**2 - 4
Let l(z) = -50*z - 2 + 2 + 99*z - 47*z. Let p(r) = -717*r. What is l(p(y))?
-1434*y
Let x(i) = -23*i - 2. Let n(j) = -1520*j - 133. Let k(g) = 2*n(g) - 133*x(g). Let w(a) = a. Calculate k(w(f)).
19*f
Let k(p) = -2*p**2 + 3*p**2 - 4*p**2 + 2*p**2 + 9*p. Let t be k(9). Let b(v) = t*v**2 - 3*v**2 + 4*v**2. Let x(d) = 4*d**2. Determine x(b(q)).
4*q**4
Let t(m) = 5*m**2 - 1259*m. Let y(u) = -4*u. Calculate y(t(a)).
-20*a**2 + 5036*a
Let o(a) be the second derivative of -a**4/3 - a. Let p(c) be the third derivative of 7*c**4/24 - 353*c**2. Determine p(o(n)).
-28*n**2
Let u(n) = -n. Let f(g) be the second derivative of -43*g**4/6 - g**2 - 2*g + 61. Give f(u(r)).
-86*r**2 - 2
Let l(p) = 0*p**2 - 2*p**2 - 4*p**2 + 3*p**2. Let x(a) be the third derivative of -a**5/12 + a**2. What is x(l(f))?
-45*f**4
Let j(t) = 22*t. Let x(a) = -40318*a**2 - 1. Calculate j(x(q)).
-886996*q**2 - 22
Let o(u) be the third derivative of -3*u**4/8 - 6*u**2. Let b(q) = -3*q**2 - 4*q**2 + 9*q**2. What is o(b(g))?
-18*g**2
Let c(n) = -5*n**2. Let z(r) = -r**3 + r**2 + 5. Let f be z(0). Suppose -w + f = 5*k, k - 6*k - 2*w = 0. Let b(j) = -2*j**k + j**2 - j**2. Determine c(b(u)).
-20*u**4
Let o(v) = -23*v**2. Let a(i) = -i**3 + 7*i**2 + 10*i + 4. Let p be a(8). Let d(h) = -8 + p + 3*h - 12. Determine o(d(q)).
-207*q**2
Let i(p) = 5*p**2. Let g(x) = 7*x**2 + 79. Determine i(g(r)).
245*r**4 + 5530*r**2 + 31205
Let q(r) = 4 - 4 + 22*r**2. Let g(s) be the first derivative of -s**2/2 - 79. Calculate g(q(m)).
-22*m**2
Let z(c) = -c. Let w(r) be the first derivative of -2*r**3/3 + 7*r - 29. Give z(w(a)).
2*a**2 - 7
Let s(l) be the first derivative of -l**3/3 - 976. Let k(q) = -508*q**2. What is s(k(m))?
-258064*m**4
Let v(u) = -2*u + 4*u + 24*u**2 + 4*u**2. Let l(x) be the third derivative of -x**4/24 + 3*x**2 + 47*x. What is v(l(s))?
28*s**2 - 2*s
Let u(s) = 3*s. Let f(a) = 2*a. Let b(z) = -4*f(z) + 3*u(z). Let t(q) = 6*q**2 - 15*q**2 + 4*q**2 + 10*q**2. Calculate b(t(g)).
5*g**2
Let n(b) = 0*b - b + 0*b. Let h(p) = 147735 + 6*p - 147735. What is n(h(z))?
-6*z
Let b(u) = -u + 1152. Let p(r) = -12*r. What is b(p(q))?
12*q + 1152
Let h(i) = 20 - 32*i**2 - 9 - 11. Let f(y) = 2*y - y - 6*y + 3*y. Determine f(h(w)).
64*w**2
Let p(u) be the first derivative of -u - 5 - 1/6*u**4 + 0*u**2 + 0*u**3. Let k(o) be the first derivative of p(o). Let z(x) = 6*x. Calculate z(k(a)).
-12*a**2
Let o(j) = -8023*j**2. Let x(a) = 9*a**2. Calculate o(x(h)).
-649863*h**4
Let a(n) = 3*n**2 + 7*n - 7*n - n**2. Let x(o) = 7310*o**2 - 688*o + 344. Let d(w) = -106*w**2 + 10*w - 5. Let r(b) = 344*d(b) + 5*x(b). Determine a(r(u)).
14792*u**4
Let d(l) be the third derivative of l**7/168 - l**4/8 - 14*l**2. Let z(k) be the second derivative of d(k). Let i(x) = -x**2. Give i(z(y)).
-225*y**4
Suppose 0 = -7*g - 0 - 35. Let x(d) = d**3 + 6*d**2 + 4*d - 3. Let z be x(g). Let f(r) = -z*r**2 - r**2 + 7*r**2 - 2*r**2. Let i(q) = 4*q. What is f(i(v))?
32*v**2
Let g(c) = -23*c**2 + 26843 - 26843. Let l(m) = -7*m. Determine g(l(q)).
-1127*q**2
Let n(v) = -2*v**2. Let m(b) be the first derivative of -576*b**2 + 360. What is m(n(q))?
2304*q**2
Let b(s) = 425*s**2. Let q(i) be the second derivative of i**4/4 + 799*i. Calculate b(q(j)).
3825*j**4
Let q(c) = -1. Let g(j) = j**2 + 1. Let k(w) = -w**2 + w - 9. Let y be k(0). Let i = y + 12. Let o(d) = i*q(d) + 3*g(d). Let r(f) = 4*f. What is o(r(a))?
48*a**2
Let m(h) = 404*h. Let g(u) = u. Calculate m(g(n)).
404*n
Let v(o) = 2 + 184*o**2 + 264*o**2 - 2 - 451*o**2. Let d(i) = -i - 1. Let t(l) = 4*l + 3. Suppose -4*k + k = 6. Let f(u) = k*t(u) - 6*d(u). Calculate v(f(c)).
-12*c**2
Let q(t) = -1615*t**2. Let n(k) = -41*k. Determine q(n(x)).
-2714815*x**2
Let n(u) = 3*u**2 + u. Let t(m) = -16*m**2 - 2*m. Let k(r) = 2*n(r) + t(r). Let d(o) = 0*o + 0*o - o**2. Give d(k(y)).
-100*y**4
Let o(x) = -x. Let m(g) = 936*g + 184. Let b(j) = -104*j - 20. Let h(c) = 28*b(c) + 3*m(c). Calculate h(o(y)).
104*y - 8
Let i(d) be the third derivative of d**4/24 + 2*d**2 + 14. Let y(b) = b**2 - 28*b. Give y(i(r)).
r**2 - 28*r
Let o(d) be the third derivative of d**7/1260 - 7*d**5/20 - 10*d**2. Let u(x) be the third derivative of o(x). Let g(f) = -2*f**2. Give u(g(w)).
-8*w**2
Let j(r) = 223 + 11*r**2 - 223. Let z(t) be the second derivative of 0 - 1/12*t**4 + 2*t + 0*t**2 + 0*t**3. Determine j(z(k)).
11*k**4
Let n(g) = -5*g. Let a(d) = 17*d**2 - 55*d - 14*d**2 - 51*d + 17*d**2 + 108*d. Give n(a(p)).
-100*p**2 - 10*p
Let g(i) = 6*i**3 - i**2 - 4*i + 5. Let a be g(1). Let t(d) = a*d + 63*d + 27*d. Let x(z) = -2*z. Calculate x(t(p)).
-192*p
Let r(c) = 39*c**2. Let h(f) = -110*f**2 + 2*f + 3. What is h(r(a))?
-167310*a**4 + 78*a**2 + 3
Let s(t) = 725*t**2. Let j(y) = 26*y**2. Calculate s(j(h)).
490100*h**4
Suppose 0 = 2*z + 4*u + 4, 5*z - 5 = -u - 4*u. Suppose 6 = -0*g + g. Let b(v) = -5*v**2 + g*v**2 + z*v**2. Let x(h) = -h. Determine b(x(f)).
5*f**2
Let q(j) = 22*j. Let u(b) = b**2 + 5*b - 5. Let n(f) = -8 - 3*f + 2*f**2 + 15*f - 4*f. Let s(z) = -5*n(z) + 8*u(z). Give q(s(v)).
-44*v**2
Let o(x) = -3*x**2. Let w(s) be the first derivative of -93*s**2/2 - 649. Give w(o(u)).
279*u**2
Let a(w) = -10*w**2. Let y(k) = -319*k + 352. Let p(d) = 11*d - 12. Let s(m) = -88*p(m) - 3*y(m). Give s(a(x)).
110*x**2
Let f(o) = -59*o**2 - 6*o. Let b(q) = -175*q**2 - 17*q. Let p(a) = -6*b(a) + 17*f(a). Let w(t) = 4*t**2. Calculate w(p(z)).
8836*z**4
Let h(r) be the third derivative of 0*r + 0 + 0*r**3 + 19*r**2 + 1/6*r**4. Let c(s) = 15*s**2. What is c(h(u))?
240*u**2
Let f(d) be the second derivative of d**3/6 + 4*d. Let g(s) = -29*s. Let a(y) = 4*y. Let q(j) = -28*a(j) - 4*g(j). Determine f(q(k)).
4*k
Let p(a) = -2*a**2 + 2*a. Let s(j) = -5*j**2 - 55474*j + 55474*j. Calculate s(p(u)).
-20*u**4 + 40*u**3 - 20*u**2
Let n(a) = -a. Let l(v) = 6*v**2. Let f(t) = t**2. Let g(y) = -35*f(y) + 5*l(y). Calculate g(n(h)).
-5*h**2
Let s(l) = 1524*l**2. Let o(b) = -2*b + 20. Calculate s(o(y)).
6096*y**2 - 121920*y + 609600
Let k(s) = 2*s - 18. Let d(v) = -v**2 - 6*v - 1. Let b be d(-5). Let h(z) = -b*z**2 + 0*z**2 + z**2 + 2*z**2. What is h(k(x))?
-4*x**2 + 72*x - 324
Let x(p) = 4*p**2. Suppose 0*t = -t + 5. Let q = t + -3. Let u(r) = -5*r + q*r + 4*r. What is x(u(g))?
4*g**2
Let t(i) be the first derivative of -i**2 - 19. Let j(r) = 64*r**2. Determine j(t(v)).
256*v**2
Let j(l) = 379*l**2. Let v(f) = -359*f + 173*f + 2*f**2 + 186*f. What is v(j(a))?
287282*a**4
Let s(f) be the third derivative of 19*f**4/24 + 2*f**2 + 22*f. Let m(v) = -4*v. Determine m(s(j)).
-76*j
Let m(o) = o**2 - 175*o - 13. Let q(y) = 3*y. Determine q(m(w)).
3*w**2 - 525*w - 39
Let z(l) = 2*l. Suppose 10 = 11*x - 6*x. Let n(j) = -259*j + 259*j - 24*j**x. Determine z(n(t)).
-48*t**2
Let x(v) = 46*v**2. Let q(j) = -20*j + 12. Let t(n) = 119*n - 70. Let w(z) = 35*q(z) + 6*t(z). Determine x(w(b)).
9016*b**2
Suppose 0 = 3*m + 3, 2*m = 2*q + 2*q - 50. Let g(h) = 8 - 4*h - 8 - q*h. Let w(r) = 2*r. Calculate g(w(k)).
-32*k
Let o