**2
Let t(i) = i. Let n(y) be the first derivative of 1/24*y**5 + 0*y + 3 + 0*y**2 + 2/3*y**3 + 0*y**4. Let c(x) be the third derivative of n(x). Give c(t(l)).
5*l
Let r(z) = 0*z - 2*z + 6*z. Let w(v) = -28*v + 2*v**2 + 28*v. What is r(w(l))?
8*l**2
Let c(w) = -9*w - 15. Let j(o) = 7*o + 12. Let h(m) = -4*c(m) - 5*j(m). Let d(b) = 3*b + b + b. What is d(h(p))?
5*p
Suppose j + 3*b + 0*b - 15 = 0, 5*j + b - 19 = 0. Let a(v) = j + 2*v**2 - 3. Let l(q) = -6*q**2. Give a(l(h)).
72*h**4
Let g(r) = 3*r**2. Let b(s) = -30*s**2. Give b(g(f)).
-270*f**4
Let w(u) be the second derivative of -u**7/1260 + u**4/3 + 2*u. Let m(n) be the third derivative of w(n). Let v(h) = -9*h. What is m(v(z))?
-162*z**2
Let f(v) = -5*v**2. Let r(p) = 544*p**2. What is f(r(h))?
-1479680*h**4
Let m(o) = o**2. Let c(x) = 10*x - 3. Let p(y) = -70*y + 20. Let d(g) = 20*c(g) + 3*p(g). Calculate d(m(r)).
-10*r**2
Let v(h) = -1329*h + 4. Let i(w) = -2*w**2. What is v(i(p))?
2658*p**2 + 4
Let w(d) = 3*d + 5. Let z(j) = -5*j - 8. Let m(y) = 8*w(y) + 5*z(y). Let r(i) = -4*i + 6*i + 6*i. Calculate r(m(q)).
-8*q
Let b(i) = i. Let a(r) = -552*r**2. What is b(a(l))?
-552*l**2
Let h(w) = 6*w**2 - 7*w. Let c(q) = 8*q**2. Give h(c(m)).
384*m**4 - 56*m**2
Let i(g) = 4*g**2. Let k(x) = 2*x - 100. What is k(i(f))?
8*f**2 - 100
Let f(g) = 4*g**2. Let h(l) be the second derivative of -l**3/2 - 20*l. What is h(f(v))?
-12*v**2
Let t(j) = -j. Let c(n) = -n**2 + n - 1. Suppose -4*m - 12 = -8*m. Let q(d) = -10*d**2 + 3*d - 3. Let u(g) = m*c(g) - q(g). Calculate u(t(w)).
7*w**2
Let g(a) = -20*a + 3. Let f(d) = 2*d. Determine g(f(y)).
-40*y + 3
Let s(w) = 11*w. Let y(d) = 79*d. Give s(y(o)).
869*o
Let l(w) be the third derivative of w**5/20 + w**2. Suppose 0 = -t - 2*t. Let y(q) = -q**2 + 3*q**2 + t*q**2. Determine y(l(p)).
18*p**4
Let w(o) = -4*o**2 + 11*o + 22. Let m(q) = q**2 - 2*q - 4. Let j(s) = 11*m(s) + 2*w(s). Let c(z) be the third derivative of z**4/12 + z**2. What is j(c(v))?
12*v**2
Let x(z) be the third derivative of z**4/12 - 2*z**2. Let s(o) = 2*o**2 + 14*o + 7. Let u(w) = w**2 + 8*w + 4. Let k(d) = -4*s(d) + 7*u(d). Determine k(x(y)).
-4*y**2
Let w(l) be the first derivative of l**4/12 + 2*l - 2. Let i(d) be the first derivative of w(d). Let j(t) = -7*t + 6*t + 2*t + 0*t. Give i(j(h)).
h**2
Let c(o) be the third derivative of 7*o**4/8 - 4*o**2. Let n(y) be the first derivative of -y**3/3 - 6. Determine n(c(d)).
-441*d**2
Let u(m) = -m + m - 5*m**2. Let q(j) = -16*j**2 - 20*j**2 + 35*j**2. What is q(u(p))?
-25*p**4
Let t(d) = -618*d**2 + 2*d. Let n(c) = -2*c. Give t(n(z)).
-2472*z**2 - 4*z
Let p(i) = -2*i - 4*i + 7*i + 0*i. Let n(l) = 5*l. Calculate n(p(v)).
5*v
Let i(b) = -2*b**2. Let c(n) be the second derivative of -n**4/24 + n**2 - 7*n. Let w(y) be the first derivative of c(y). Calculate w(i(z)).
2*z**2
Let k(s) = -96*s. Let q(b) = -b**2. Give q(k(v)).
-9216*v**2
Let v(c) = -c. Let w(s) be the third derivative of 2*s**5/15 + 4*s**2. What is v(w(u))?
-8*u**2
Let j(v) = -15*v**2. Let o(q) = 2*q**2. Determine j(o(z)).
-60*z**4
Let k(s) = 4*s**2. Let p(q) = 6*q**2 + 5*q**2 + 0*q**2 - 4*q**2. What is k(p(z))?
196*z**4
Let y(v) = -2*v**2. Let m(q) = -1939*q**2. Give m(y(b)).
-7756*b**4
Let b(o) = -o. Let n(d) = -3*d**2 - 6*d**2 + 3*d**2. Calculate n(b(f)).
-6*f**2
Let t(v) = -7*v**2 - 9*v**2 + 22*v**2 - 5*v**2. Let o(m) = 21*m**2. Determine o(t(x)).
21*x**4
Let g(j) = 5*j - 9. Let w(h) = -h + 2. Let r(v) = -2*g(v) - 9*w(v). Let b(z) = -12*z**2. Determine r(b(y)).
12*y**2
Let h(r) = 2*r - 2*r + 32*r**2 - 30*r**2. Let z(y) = y**2. Give h(z(u)).
2*u**4
Let h(g) = -8*g. Let j be ((-2)/3)/((-4)/42). Let r(b) = -7*b**2. Let a(m) = 8*m**2. Let z(o) = j*r(o) + 6*a(o). Calculate z(h(w)).
-64*w**2
Let n(d) = d**2. Let r(g) = 2*g**2. Let b(k) = -5*n(k) + 4*r(k). Let s(f) = 9*f**2. What is s(b(c))?
81*c**4
Let a(w) = 2 + 4*w**2 + 0*w**2 - 2. Let x(v) = -4*v**2 - 5. Let f(z) = -3*z**2 - 4. Let b(t) = -5*f(t) + 4*x(t). Determine b(a(n)).
-16*n**4
Let p(o) = 3*o**2. Let a = 2 - -1. Let g(c) = -c + 3*c - a*c. What is p(g(r))?
3*r**2
Let n(v) = 1023*v**2. Let u(r) = -4*r. What is n(u(h))?
16368*h**2
Let f(g) = 825*g - 5. Let d(h) = -3*h. Determine f(d(q)).
-2475*q - 5
Let k(y) = -y + 2. Let z(b) = -49. Let s(g) = 2*k(g) - z(g). Let w(n) = -2*n**2. What is w(s(h))?
-8*h**2 + 424*h - 5618
Let h(b) = -2 - b + 2. Let j(g) be the third derivative of g**8/20160 + g**5/15 + g**2. Let c(i) be the third derivative of j(i). Calculate c(h(s)).
s**2
Let s(d) = 2*d. Let h(g) = 1166*g**2 - 132*g - 132. Let p(x) = -44*x**2 + 5*x + 5. Let n(q) = 5*h(q) + 132*p(q). Determine s(n(c)).
44*c**2
Let x(r) = 2*r**2. Let n(i) = i - 15. Calculate n(x(o)).
2*o**2 - 15
Let x(p) = -p. Let l(q) = 6127*q. Give l(x(w)).
-6127*w
Let c(f) be the first derivative of -2*f**3/3 + 19. Let d(v) = 21*v**2 + 7. Let u(o) = 7*o**2 + 2. Let q(w) = 2*d(w) - 7*u(w). Give c(q(l)).
-98*l**4
Let u(d) = 0*d + 0*d - d. Suppose t - 7 = -4. Let v(i) = 6*i - i - t*i. Determine v(u(m)).
-2*m
Let l(i) = 10286*i. Let x(w) = -w. Give x(l(a)).
-10286*a
Let n(r) = 76*r. Let c(p) = -13*p. Calculate c(n(d)).
-988*d
Let h(j) = 4*j. Let r(o) = 48*o**2 - 23*o + 2. Calculate h(r(t)).
192*t**2 - 92*t + 8
Let x(m) = 4*m**2 - 6*m**2 + 6*m**2. Let h(a) be the first derivative of a**2 - 30. What is x(h(l))?
16*l**2
Let x(g) = 2*g + 9. Let w(o) = o + 4. Let d(b) = 9*w(b) - 4*x(b). Let i(k) = -11*k - 6. Let m(a) = 9*a + 5. Let c(n) = 5*i(n) + 6*m(n). Give d(c(h)).
-h
Let z(k) be the first derivative of -1/3*k**3 + 0*k**2 + 0*k - 8. Let y(j) = -2*j**2. Give z(y(x)).
-4*x**4
Let l(x) = -4*x**2 - 9*x. Let r(s) = 2*s**2 + 4*s. Let h(q) = 4*l(q) + 9*r(q). Let a(b) = -13*b**2. Determine h(a(p)).
338*p**4
Let v(d) = -2*d**2. Let n = 2 - 0. Let r(i) = -3*i**2 + 7*i**2 + i**n. What is v(r(g))?
-50*g**4
Let x(a) = 769*a. Let v(t) = -14*t**2. Determine v(x(r)).
-8279054*r**2
Let r = 8 - 6. Let w(s) = 2*s - r*s - s**2. Let c(b) = 5*b**2 + 0*b + 0*b - 7*b**2. Determine w(c(l)).
-4*l**4
Let f(s) = -535*s**2. Let z(d) = d**2. What is f(z(t))?
-535*t**4
Let n(t) = 14*t + 2. Let m(j) = -33*j. Give m(n(q)).
-462*q - 66
Let r(a) = 3*a + 4. Let h(y) = -10*y - 14. Let j(l) = -2*h(l) - 7*r(l). Suppose -4*q + 9 = 5*z, -2*z = 3*q + 2*q - 7. Let u(o) = o + z - 1. Determine j(u(m)).
-m
Let r(a) = -a**2. Let h(k) = -61*k + 3. Let l(b) = -61*b + 2. Let u(c) = -2*h(c) + 3*l(c). Calculate u(r(i)).
61*i**2
Let g(v) = 8*v**2. Let b(z) = -743*z**2. Give b(g(l)).
-47552*l**4
Let j(w) = 15*w. Let t(n) be the first derivative of n**3/3 - 5. Calculate j(t(d)).
15*d**2
Let s(j) = 439*j**2. Let m(u) = -8*u. Determine m(s(k)).
-3512*k**2
Let b(m) be the third derivative of 3*m**5/20 + 8*m**2. Let i(o) = o. Give b(i(p)).
9*p**2
Let x(a) = 46*a - 2. Let b(m) = 37*m**2. Give b(x(t)).
78292*t**2 - 6808*t + 148
Let v(k) be the first derivative of -k**5/60 + 5*k**2/2 + 3. Let z(w) be the second derivative of v(w). Let i(s) = -4*s. Determine z(i(r)).
-16*r**2
Suppose -5*k + 15 + 10 = 0. Let g(v) = 2 + k - 7 - v**2. Let j(y) = -5*y**2. Give g(j(q)).
-25*q**4
Let s(m) = -m**2. Let x(b) = -3*b + b - b. Determine s(x(c)).
-9*c**2
Suppose n = -3*d + 10, -2*d + 2 + 2 = 0. Let q(t) = -n*t**2 + 0*t - 3*t + 3*t. Let s(z) = -2*z**2. Give q(s(u)).
-16*u**4
Let n(j) = 2*j**2. Let b(l) be the first derivative of l**4/8 - l**2/2 + 3. Let r(g) be the second derivative of b(g). What is n(r(m))?
18*m**2
Let h(g) be the second derivative of g**3/3 + g. Let o(s) = -11*s**2 - 4*s + 4. Let w(c) = 32*c**2 + 11*c - 11. Let x(u) = 11*o(u) + 4*w(u). Determine h(x(d)).
14*d**2
Let p(j) = -3*j**2. Let v(y) = 49*y - 2. Determine v(p(b)).
-147*b**2 - 2
Let o(n) = n**2 - 3*n + 6. Let y(b) = -b. Determine y(o(l)).
-l**2 + 3*l - 6
Let k(d) = -16*d + 20. Let p(f) = -2 - 3 + f + 6 - 2. Let v(h) = 2*k(h) + 40*p(h). Let o(x) = x. What is o(v(i))?
8*i
Let g(b) = 6*b. Suppose -5*r + 7*r = 4. Let s(i) = 0*i**2 - 2 + r - i**2. What is s(g(z))?
-36*z**2
Let r(z) = 25*z**2 - 8*z. Let a(j) = j**2. Determine r(a(s)).
25*s**4 - 8*s**2
Let s(l) = -18*l**2. Let x(d) = -4*d**2 + 2*d**2 + 4*d**2. What is x(s(o))?
648*o**4
Let d(f) = f. Let m = -4 - -11. Let w(a) = -4 - m + 11 + a. Determine w(d(j)).
j
Let n(q) = -3*q. Suppose -1 = 3*g - 13. Let i(d) = -d**2 - g*d + 4