What is l(g(f))?
175*f**4
Let b(c) be the second derivative of 8*c**3 - 179*c. Let s(d) = 2*d. Give b(s(x)).
96*x
Let f(j) = 15244*j. Let d(n) = 3*n**2. Give d(f(q)).
697138608*q**2
Let b(z) be the second derivative of 0*z**2 + 0 - 2/3*z**3 + 2*z. Let p(x) = -6*x + 7. Let f(n) = 5*n - 6. Let t(m) = -7*f(m) - 6*p(m). Determine b(t(q)).
-4*q
Let o = -26 + 29. Let j(u) = o*u + 3*u - 5*u. Let a(b) = 8*b**2. What is a(j(t))?
8*t**2
Let v(i) = -5*i. Let a(n) = 164*n + 24. Let m(x) = -6. Let b(k) = a(k) + 4*m(k). Determine v(b(d)).
-820*d
Let x(q) be the third derivative of -q**5/60 + q**3 - q**2. Let u(b) be the first derivative of x(b). Let s(f) = -11*f**2 + 3*f. Calculate u(s(v)).
22*v**2 - 6*v
Let c(f) = f**3 - 10*f**2 + 4. Let p be c(10). Let q(l) = -4 - 3 + p + 4. Let m(z) = z + 6. Let y(d) = m(d) - 6*q(d). Let k(o) = 8*o**2. Calculate y(k(v)).
8*v**2
Let c(o) = -o**2 - 47. Let t(w) = 566*w. What is c(t(f))?
-320356*f**2 - 47
Let j(v) = -17*v. Let f(z) = 36*z. Let a(k) = -6*f(k) - 13*j(k). Let t = 19 + -10. Let d(m) = 9 - t + 2*m**2. Calculate d(a(x)).
50*x**2
Suppose 2*h - 7*h = 0. Let k(a) = -a**2 + 5*a**2 + h*a**2 + 2*a**2. Let l(q) be the second derivative of -q**4/4 + 74*q. Calculate k(l(d)).
54*d**4
Let k(t) = -266*t + 77. Let m(n) = 7*n - 2. Suppose -2*a = 5*a - 539. Let y(g) = a*m(g) + 2*k(g). Let d(u) = -3*u. Calculate d(y(l)).
-21*l
Let t(m) = -94*m**2. Let x(v) = 7*v + 1. Calculate t(x(g)).
-4606*g**2 - 1316*g - 94
Let x(v) = -v + 11. Let c be x(5). Suppose -s = -0*s - 2. Let h(u) = c*u + s*u**2 - 6*u. Let i(k) = -3*k**2. What is h(i(n))?
18*n**4
Let b(x) be the third derivative of -x**6/36 - x**3/3 + 2*x**2. Let s(d) be the first derivative of b(d). Let w(q) = 8*q - q + 3*q - 5*q - 4*q. What is w(s(j))?
-10*j**2
Let a(f) = f. Let d(o) = -2*o**2 - o. Let z(n) = -104*n**2 + 3*n. Let u(r) = 5*d(r) + z(r). What is a(u(h))?
-114*h**2 - 2*h
Let z(p) = -306*p. Let i(d) be the second derivative of d**3/6 - 2*d - 141. What is i(z(c))?
-306*c
Let z(v) = -v. Suppose 0*q + n + 10 = q, 0 = -q - 4*n + 30. Let f(a) = -4*a - q*a - 3*a. Calculate f(z(w)).
21*w
Let z(s) = 24*s. Let t be (-6)/16 - 335/(-40). Let q(c) = -t + c**2 + 8. Give z(q(h)).
24*h**2
Let l(f) = -5*f**2 - 4*f - 16. Let y(w) = -6*w**2 - 5*w - 20. Let a(x) = 5*l(x) - 4*y(x). Let z(o) = 22*o**2. What is a(z(h))?
-484*h**4
Let q(i) = 28*i**2. Let t(g) = -90*g**2 + 15*g - 15. Let k(m) = 23*m**2 - 4*m + 4. Let j(s) = 15*k(s) + 4*t(s). What is j(q(r))?
-11760*r**4
Let a(o) = -344 + 344 - 5*o. Let t(g) = -11*g + 0*g + g. Calculate a(t(y)).
50*y
Let f(m) = -106*m. Let v(i) be the second derivative of i**4/6 + 2*i - 66. Give f(v(g)).
-212*g**2
Let t(y) = -11*y**2. Let n(z) = -110*z + 16. Let p(b) = 7*b - 1. Let r(s) = -3*n(s) - 48*p(s). Calculate r(t(v)).
66*v**2
Let z(g) = -12*g. Let h(i) be the first derivative of 4 - 10 + 0*i**2 - i**2 + 1. What is h(z(t))?
24*t
Let m(z) = 5*z. Let t(f) = 2*f**2 - 13 + 13 + 3*f**2. Calculate m(t(r)).
25*r**2
Let p(n) be the second derivative of n**3/6 + 2*n - 378. Let u(q) = 49*q**2 + 3*q - 3*q. What is p(u(d))?
49*d**2
Let w(m) = 3*m**2 + 2*m**2 + m**2 - 5*m**2. Let g(y) be the second derivative of 0 + 4*y - 1/6*y**3 + 0*y**2. Determine w(g(t)).
t**2
Let a(z) = -257*z**2. Let c(q) = -1811*q. Calculate a(c(p)).
-842888297*p**2
Let m(l) = -6208*l**2. Let p(a) = 123*a. Determine m(p(f)).
-93920832*f**2
Let p(x) = 17404*x - 4. Let h(t) = 2*t. Give p(h(j)).
34808*j - 4
Let r(g) = g**2 - 4 + 5*g**2 + 4. Let u(p) = -78*p**2 + 0 + 0 + 40*p**2 + 32*p**2. Calculate u(r(o)).
-216*o**4
Let y(w) be the third derivative of -w**4/2 + 17*w**3/3 + 2*w**2 + 21. Let i(f) = -f + 3. Let d(g) = 68*i(g) - 6*y(g). Let a(o) = 7*o**2. What is a(d(c))?
112*c**2
Let x(s) = 3*s**2. Suppose 5*b + c - 31 = -36, 2*c + 10 = -2*b. Let d(w) be the third derivative of 0*w + b + 1/12*w**4 - 5*w**2 + 0*w**3. What is d(x(f))?
6*f**2
Let b(h) = 8*h. Let j(q) = 5 + 3*q + 3 - 7 - 1. Calculate b(j(z)).
24*z
Let v(a) = 11*a. Let p(b) = -66*b + 81. Let m(d) = -5*d + 6. Let i(j) = 27*m(j) - 2*p(j). Give i(v(q)).
-33*q
Let y(q) = 5*q + 2. Let z(l) = -3662*l**2. What is z(y(d))?
-91550*d**2 - 73240*d - 14648
Let t(d) be the first derivative of d**5/30 - 11*d**2/2 + 23. Let w(r) be the second derivative of t(r). Let a(u) = 38*u**2. Give a(w(n)).
152*n**4
Let p(u) = u. Let k(t) = -1080570*t + 1. What is p(k(a))?
-1080570*a + 1
Let d(g) = -2*g**2. Let n be ((5 - 5)/(-4))/2. Let l(a) be the third derivative of 0*a**3 + 1/60*a**5 + 0 + 0*a**4 + n*a + 6*a**2. Calculate l(d(t)).
4*t**4
Let r(d) be the second derivative of d**3/3 + 3*d**2/2 + 10*d. Let f(n) = -n. Give r(f(b)).
-2*b + 3
Let k(q) = -15*q**2 + 10*q - 7. Let i(o) = -15*o**2 + 11*o - 6. Let y(l) = 7*i(l) - 6*k(l). Let j(f) = -2*f. Determine y(j(d)).
-60*d**2 - 34*d
Let l(o) = -3*o. Let y(v) = -45*v**2 - 18*v - 36. Let h(w) = 13*w**2 + 5*w + 10. Let k(f) = 18*h(f) + 5*y(f). Determine k(l(n)).
81*n**2
Let q(j) = -j**2 - 14*j + 2. Let t be q(-14). Let k(m) = -2*m - t*m + 3*m. Let r(f) = -7*f - 3. Let h(u) = 7*u + 2. Let d(x) = -3*h(x) - 2*r(x). Give d(k(y)).
7*y
Let p(w) = 8338*w**2. Let f(a) = 10*a. Determine f(p(i)).
83380*i**2
Let c(h) = -11*h**2. Let w(k) = -14*k + 6. Let g(j) = 56*j - 26. Let m(z) = 3*g(z) + 13*w(z). What is m(c(d))?
154*d**2
Suppose 3*l = l + 12. Let s(q) = -3*q**2 - 2*q**2 + l*q**2. Let v(m) = 2*m**2 + 2. Let w(y) = 8*y**2 + 4. Let j(a) = -4*v(a) + 2*w(a). Calculate j(s(d)).
8*d**4
Let i(l) be the first derivative of -l**2 + 107. Let b(d) = -2*d - 171. Calculate b(i(t)).
4*t - 171
Let f(y) = -51*y + 1. Let i(a) = -417 + 417 + 3*a**2. Determine f(i(o)).
-153*o**2 + 1
Let o(l) be the second derivative of l**5/60 - 29*l**2/2 + 13*l. Let a(u) be the first derivative of o(u). Let g(d) = 23*d**2. Calculate g(a(h)).
23*h**4
Let d(z) = -4 + 971*z**2 + 4 - 972*z**2. Let a(h) = 6*h - 3. Calculate d(a(i)).
-36*i**2 + 36*i - 9
Let u(g) = -10*g**2. Let n(w) = w**2 - 11*w + 38. Let k be n(5). Let q(y) = -k*y + 8*y - 2*y + y. What is q(u(l))?
10*l**2
Let j(i) = -4*i**2. Let o(d) be the second derivative of d**4/12 - 4*d - 5. What is j(o(z))?
-4*z**4
Let d(k) = 6*k + 3. Let q(o) = 8*o**2 + 2*o. Give q(d(x)).
288*x**2 + 300*x + 78
Let k(a) = 2*a. Let f(c) be the second derivative of 313*c**4/12 - 2*c. Determine k(f(x)).
626*x**2
Let r(j) = -23*j - 3. Let f(c) = -200*c**2. Give f(r(d)).
-105800*d**2 - 27600*d - 1800
Suppose 0 = 20*y - 17*y - 12. Let r(q) = -168*q**2 + y*q - 4*q + 159*q**2. Let l(u) = -2*u**2. Calculate l(r(g)).
-162*g**4
Let c(d) be the second derivative of -d**7/1260 + 31*d**4/12 + 2*d. Let k(n) be the third derivative of c(n). Let s(u) = 39*u. Calculate s(k(i)).
-78*i**2
Let n(q) = -2*q - 207. Let m(y) = -14*y**2. Give m(n(h)).
-56*h**2 - 11592*h - 599886
Let f(p) = 10*p + 9*p - 10*p**2 - 19*p. Let j(o) = -5*o. Let g(n) = 4*n. Let d(q) = 3*g(q) + 2*j(q). What is f(d(w))?
-40*w**2
Let m(h) = h**2. Let p(j) = -3550*j - 30. Determine p(m(t)).
-3550*t**2 - 30
Let k(i) be the first derivative of 5*i**3/3 + 501. Let f(m) = -11*m. What is f(k(g))?
-55*g**2
Let s(t) = 19*t**2. Let y(x) be the second derivative of x**4/4 + 9*x - 8. What is s(y(v))?
171*v**4
Let s(m) = 57*m. Let i(j) = -230*j - 11. What is s(i(y))?
-13110*y - 627
Let o(w) = -3*w**2. Let m(k) = -171976*k. Calculate m(o(b)).
515928*b**2
Let t(n) = -296*n**2. Let k(z) = 1121*z. Give k(t(m)).
-331816*m**2
Let x(j) = -126*j. Let u(i) = -2*i**2 - 14*i. Determine u(x(f)).
-31752*f**2 + 1764*f
Let h(m) = m**2. Let f(n) be the first derivative of 0*n + 7/3*n**3 + 0*n**2 - 2. Determine f(h(w)).
7*w**4
Let y(l) = 898*l + 3. Let q(u) = -15*u. What is y(q(g))?
-13470*g + 3
Let g(d) = 18*d. Let y(c) = -8689 + 8689 + 12*c. Determine y(g(s)).
216*s
Let n(k) = 335*k + 2. Let s(y) = -1358*y**2. What is n(s(o))?
-454930*o**2 + 2
Let i(r) = 39*r - 112*r + 90 + 35*r + 36*r. Let b(m) = m**2. Determine b(i(n)).
4*n**2 - 360*n + 8100
Let v(d) = -d. Let u(g) = 49054*g. Calculate u(v(t)).
-49054*t
Let z(i) = -413*i. Let u(m) = 6*m. What is u(z(r))?
-2478*r
Let o(m) = 2*m. Let c(i) be the third derivative of 18*i**5/5 + 40*i**2 + 2*i. What is o(c(w))?
432*w**2
Let t(s) = 3*s. Let j = -313 - -315. Let a(p) be the second derivative of -1/4*p**4 + 0*p**3 + 3*p + 0 + 0*p**j. What is t(a(f))?
-