c**2
Let q(v) = -v**2. Let l(m) = -261*m**2. Let k(c) = -20*c**2. Let t(h) = 27*k(h) - 2*l(h). Determine t(q(g)).
-18*g**4
Let k(o) be the third derivative of 1/30*o**5 + 0 + o**2 + 0*o**4 + 0*o + 0*o**3. Let a(w) be the third derivative of 2*w**5/15 - 7*w**2 - 5*w. Give k(a(x)).
128*x**4
Let a(h) = 2*h - 1. Let z(o) = 15*o - 9. Let p(g) = -9*a(g) + z(g). Let d(m) = 5*m**2. Calculate p(d(v)).
-15*v**2
Let a(i) = 48 - 4*i - 3*i - 48. Let z(c) = 11*c. Give z(a(y)).
-77*y
Let p(k) = 1 - k - 1. Let t(v) be the second derivative of v**6/360 + v**3/6 + 3*v. Let f(d) be the second derivative of t(d). Give f(p(r)).
r**2
Let h(r) = -6*r**2. Let q(y) be the third derivative of -3*y**2 - 1/8*y**4 + 0*y**3 + 0*y + 0. Calculate h(q(x)).
-54*x**2
Suppose 5*b - w = -3, -3*w = -w - 6. Let y(j) be the first derivative of -2 - 1/3*j**3 + 0*j + b*j**2. Let r(l) = l. Determine y(r(f)).
-f**2
Let v(g) be the second derivative of g**3/3 - g. Let y(w) be the first derivative of 3*w**3 + 101. Calculate y(v(f)).
36*f**2
Let v(r) = -60*r - 165. Let d(q) = -1. Let l(j) = 330*d(j) - 2*v(j). Let i(o) = -o. Determine l(i(g)).
-120*g
Let t(y) = -2*y**2. Let r(b) = -1613*b - 4. Give t(r(g)).
-5203538*g**2 - 25808*g - 32
Let h(f) = -20*f. Let p(r) = -90*r**2. Calculate h(p(j)).
1800*j**2
Let p(h) = -4*h + 0*h + 2*h. Let i(f) = 9*f + 8. Let g(c) = 3*c + 3. Let s(a) = 8*g(a) - 3*i(a). What is s(p(r))?
6*r
Let a(f) be the third derivative of f**4/12 - 2*f**2. Let q(n) = 4*n**2 - 5*n + 5. Let d(j) = 4*j**2 - 4*j + 4. Let y(x) = -5*d(x) + 4*q(x). Calculate a(y(m)).
-8*m**2
Let f(d) = 2*d. Let q(x) = -x. Let z(b) = f(b) + 4*q(b). Let r(h) = -5*h. Let g(n) = 2*n. Let o(l) = 8*g(l) + 3*r(l). Determine z(o(c)).
-2*c
Let q(a) = 2*a. Let t(r) = 2*r**2 + 35. Determine q(t(s)).
4*s**2 + 70
Let i(k) = 24*k**2. Let o(m) = -80*m - 1. Give o(i(c)).
-1920*c**2 - 1
Let r(p) = p**2. Let m(i) = 3*i - 1. Determine r(m(s)).
9*s**2 - 6*s + 1
Let j(c) = 2*c - 5. Let q be j(5). Suppose 2*h - 7 = b + 1, -2*h - q*b - 16 = 0. Let r(l) = -3*l**h + 4*l**2 - 3*l**2. Let u(m) = 3*m. Give u(r(n)).
-6*n**2
Let k(a) = -29*a. Let y(s) = -3*s - 4. Let c(i) = -1. Let b(v) = -4*c(v) + y(v). Determine k(b(r)).
87*r
Let c(j) be the second derivative of 0 + 0*j**2 - 3*j - 1/2*j**3. Let h(g) = -2*g**2. Give c(h(m)).
6*m**2
Let o(i) be the first derivative of -i**4/24 + i**2 - 3. Let q(v) be the second derivative of o(v). Let u(y) = y. Calculate u(q(a)).
-a
Let v(y) = y**2 + 5. Let b(f) = -2. Let n(k) = 5*b(k) + 2*v(k). Let x(d) be the second derivative of -d**3/2 + d. Give n(x(q)).
18*q**2
Let u(c) = 2*c. Let f(n) be the first derivative of -3 + 0*n - 1/2*n**2. Determine u(f(v)).
-2*v
Let j(m) = -111*m**2. Let c(v) = 53*v**2. Give j(c(p)).
-311799*p**4
Let s(v) = 101*v. Let n(j) = -3*j. Let w(z) = 2*z. Let g(o) = 4*n(o) + 5*w(o). What is g(s(u))?
-202*u
Let r(i) be the first derivative of -i**2 - 2. Let p(w) be the second derivative of 11*w**4/12 + 5*w. What is r(p(f))?
-22*f**2
Let m(j) = 91 + 5*j**2 - 91. Let u(d) = -4*d - 7. Let s(x) = 3*x + 5. Let p(b) = 7*s(b) + 5*u(b). Calculate m(p(r)).
5*r**2
Let f(l) = 2*l**2 - 17*l. Let s(a) = -a. Determine f(s(m)).
2*m**2 + 17*m
Let i(n) = -n. Let s(k) = -11*k**2 + 22*k. Let y(r) = -r. Let a(d) = -s(d) - 22*y(d). Determine a(i(m)).
11*m**2
Let c(h) be the second derivative of h**4/12 - 4*h. Let s(z) = -z. Calculate s(c(q)).
-q**2
Let p(j) = -4*j**2 - j**2 + j**2. Suppose y + 0*y = m - 7, -5*y = 25. Let x(f) = 5 - 2*f**m - 5. Calculate x(p(t)).
-32*t**4
Let v(n) = 2334*n. Let p(d) = 6*d. Determine p(v(u)).
14004*u
Let a(i) = -2*i. Let f(r) = 2*r + 4. Suppose 8*x = 11*x - 12. Let w(p) = 4*p + 9. Let t(o) = x*w(o) - 9*f(o). What is t(a(l))?
4*l
Let y(c) = 2*c**2. Let k(u) = u + 4. Let r(i) = -1. Let f(m) = -k(m) - 4*r(m). Calculate y(f(p)).
2*p**2
Let a(i) = 3*i**2. Let z(q) = -11*q**2 + 5*q. Let n(k) = -12*k**2 + 6*k. Let h(x) = -5*n(x) + 6*z(x). Calculate h(a(p)).
-54*p**4
Let u(m) = -m. Let i(h) be the second derivative of -h**6/720 - h**4/6 - 2*h. Let y(z) be the third derivative of i(z). What is y(u(g))?
g
Let x(j) be the second derivative of j**4/4 - j. Let f(c) = -7*c**2 - 3*c + 3. Let k(y) = 36*y**2 + 16*y - 16. Let u(b) = -16*f(b) - 3*k(b). Give u(x(t)).
36*t**4
Let n(x) = -5*x. Let z(v) = -v. Let y(u) = -6*n(u) + 33*z(u). Let h(l) = -l + 2*l - 3*l. Determine y(h(i)).
6*i
Let n(u) = -u. Let q(i) = -7*i. Let k(s) = -s**2 + s. Let b(c) = 7*k(c) + q(c). Give n(b(m)).
7*m**2
Let w(h) = h + 7. Let x(f) = -f - 6. Let s(o) = -6*w(o) - 7*x(o). Let y(z) be the third derivative of -z**5/12 - 7*z**2. Give s(y(n)).
-5*n**2
Let r(w) = 2*w**2. Let v be 21/(-2)*(-6)/9. Let h(n) = v*n**2 - 5 + 5. Give r(h(k)).
98*k**4
Let z(x) = -2*x**2. Let o(q) = 14*q**2 - 10*q. Give o(z(b)).
56*b**4 + 20*b**2
Let z(r) = -7*r**2. Let a(g) be the second derivative of g**4/12 - 6*g. What is z(a(o))?
-7*o**4
Let g(y) be the third derivative of 0*y + 0*y**3 + 0*y**4 + 1/60*y**5 + 0 + y**2. Let c(v) = 2*v + v - 4*v. Give g(c(z)).
z**2
Let u(y) = -2*y + 372. Let p(x) = 2*x. What is u(p(t))?
-4*t + 372
Suppose 0 = 3*m - 2 - 4. Let f(v) = 6*v**2 - 8*v**2 + 0*v**m. Let o(r) = 2*r**2. Give o(f(k)).
8*k**4
Let u(a) = 1582*a. Let n(h) = -2*h**2. Give n(u(c)).
-5005448*c**2
Let y(l) = -2*l. Suppose -2*f - 5*i = 0, 0*i - i = 0. Let j(k) be the third derivative of 0*k + k**2 + 0 + 1/60*k**5 + f*k**3 + 0*k**4. Calculate j(y(q)).
4*q**2
Let d(k) be the second derivative of -k**3/6 + 60*k. Let u(g) = 5*g**2. Determine d(u(w)).
-5*w**2
Let i(z) = -z. Let s(p) = -41*p**2. Determine i(s(w)).
41*w**2
Let j(l) = -l. Let m(z) = 5*z + 0*z + 6 - 2*z**2 - 6. Let d(x) = 5*j(x) + m(x). Let w(u) = -2*u**2. Calculate d(w(f)).
-8*f**4
Let w(p) = -11*p + 4. Let f(n) = -3*n. Determine w(f(a)).
33*a + 4
Let n(v) be the second derivative of -3*v**4/4 + 2*v. Let h(i) = -9*i**2. Let p(d) = 5*d**2. Let y(b) = 6*h(b) + 11*p(b). Determine y(n(t)).
81*t**4
Let c(a) = 2*a. Let x(b) = b**3 + 3*b**2 + 2. Let t be x(-3). Let q(d) = t*d + 1 - 2 + 1. Determine c(q(i)).
4*i
Let u(c) = -14*c. Let y(m) = 27*m. What is u(y(f))?
-378*f
Let o(p) = -p**2 + p + 2. Let d be o(0). Let h(y) = -2*y**d + 4*y**2 - y**2. Let g(s) = 2*s - 4*s + 0*s. Determine h(g(z)).
4*z**2
Let a(x) = -2*x**2. Let b(c) = -136*c - 3. What is a(b(r))?
-36992*r**2 - 1632*r - 18
Let s(v) be the third derivative of 0 + 0*v - 6*v**2 - 1/24*v**4 + 0*v**3. Let u(d) = -d**2 + 3*d**2 + d**2. Calculate u(s(p)).
3*p**2
Let j(t) = -t**2. Let p(s) be the first derivative of -3*s**3 - 178 + 5*s**3 + 173. Give j(p(b)).
-36*b**4
Let s(y) = y**2. Let o(p) = -36475*p. What is o(s(g))?
-36475*g**2
Let b(h) = 4*h. Let k(q) = 42*q**2 - 23*q. Determine b(k(x)).
168*x**2 - 92*x
Let a(f) = 3*f - 485. Let d(r) = 2*r. Determine a(d(i)).
6*i - 485
Let g(m) = -2*m**2. Let i(s) = -11*s - 6. Let w(z) = -65*z - 35. Let d(f) = -35*i(f) + 6*w(f). Calculate g(d(c)).
-50*c**2
Let w(c) = -c. Let f(h) be the first derivative of -7*h**3 + 3. What is f(w(p))?
-21*p**2
Let f = -43 + 43. Let z(w) be the first derivative of f*w - 2/3*w**3 + 0*w**2 - 3. Let n(o) = -o**2. Calculate z(n(u)).
-2*u**4
Let s(k) be the first derivative of 2*k**3/3 + 1. Let m(h) be the third derivative of h**5/30 - 2*h**2. Determine s(m(i)).
8*i**4
Let z(y) = 32*y**2 + 2. Let a(n) = 31*n. Give z(a(u)).
30752*u**2 + 2
Let q(h) = 6*h. Let z(a) = 519*a. Give q(z(u)).
3114*u
Let f(i) = i**2. Let o(u) be the first derivative of -21*u**2/2 - 30. Determine f(o(z)).
441*z**2
Let k(t) = 19*t**2 - 43*t**2 + 21*t**2. Let j(b) be the first derivative of 0 + 4*b**2 - 5*b**2 - 2. Determine k(j(q)).
-12*q**2
Let q = 5 + 1. Suppose -2 = -4*z + q. Let h(p) = -5*p**2 - p**z + 4*p**2. Let u(r) = -3*r. Determine h(u(t)).
-18*t**2
Let i(s) = 3*s. Let g(k) = -95*k. Determine g(i(z)).
-285*z
Let y(f) = 10*f**2. Let o(v) = -48*v - 2. What is y(o(h))?
23040*h**2 + 1920*h + 40
Let k(p) = 2*p. Let n(m) = 146*m. Determine k(n(v)).
292*v
Let r(c) = -11*c**2. Let z(v) = -251*v**2. Determine z(r(n)).
-30371*n**4
Let p(v) = 7*v**2. Let d(q) be the second derivative of -q**4/12 - 4*q. Give d(p(s)).
-49*s**4
Let u(v) be the second derivative of v**4/12 - v. Let l(q) = -q**2 - q. Let d(j) = -6*j**2 - 5*j. Let r(p) = 2*d(p) - 10*l(p). Calculate r(u(g)).
-2*g**4
Let p(a) be t