2*i. Determine v(p(s)).
524*s**2 - 164*s - 5
Let s(k) be the second derivative of 1/12*k**4 + 0*k**3 + 0*k**2 + 0 + 7*k. Let v(r) = 12*r. Give s(v(t)).
144*t**2
Let p(q) = 2*q - 12. Let j be p(7). Let k(o) = 3*o**j + 12 + 8 - 20. Let a(w) be the third derivative of w**4/24 + 4*w**2. Determine a(k(h)).
3*h**2
Let d(b) = -5*b. Let l(s) = 21*s + 2*s + 4*s + 18*s - 7*s. Give d(l(g)).
-190*g
Let s(l) = l**2. Let v(d) = -4*d - 1380. Determine v(s(n)).
-4*n**2 - 1380
Let g(j) = 17*j. Let x(t) = 1444*t. Let r(a) = 171*g(a) - 2*x(a). Let y(i) = 10*i - 3. Let m(w) = 14*w - 4. Let d(v) = 3*m(v) - 4*y(v). Give r(d(z)).
38*z
Let t(a) = -5*a - 11. Let z be (-11)/(2*1/2). Let c(q) = -q - 4 - 2 + 1 + 3. Let n(m) = z*c(m) + 2*t(m). Let x(d) = -4*d**2. What is n(x(b))?
-4*b**2
Let b(n) = 303*n - 248*n - 172*n. Let g(o) = 6*o**2. Determine g(b(s)).
82134*s**2
Let n(j) = 2*j**2 + 5*j + 15. Let f(k) = -3*k**2 - 7*k - 21. Let c(d) = -5*f(d) - 7*n(d). Let u(l) = -2*l + 5*l - 2*l. Calculate c(u(a)).
a**2
Let m(c) = 2*c + 1961. Let t(i) = -53*i. What is t(m(p))?
-106*p - 103933
Let k(p) = -16634*p. Let l(n) = -n. Determine k(l(t)).
16634*t
Let f(n) = -5*n - 3*n - 8*n - 5*n. Let m(p) = -2*p. Determine m(f(q)).
42*q
Let s be 3 + -32 + 4 + 3 + 0. Let q(h) = 4*h**2 + 3*h. Let f(l) = -15*l**2 - 11*l. Let b(t) = s*q(t) - 6*f(t). Let r(k) = 2*k**2 - 3*k + 3*k. Determine r(b(u)).
8*u**4
Let v(f) = 32*f**2. Let o(q) be the first derivative of q**4/12 + 10*q**2 + 22. Let z(w) be the second derivative of o(w). Calculate z(v(u)).
64*u**2
Let m(a) = -10 - 107*a - 114*a + 218*a. Let d(g) = g. Determine m(d(h)).
-3*h - 10
Let y(p) be the first derivative of p**2/2 - 2429. Let j(d) be the third derivative of d**5/30 + d**2. What is j(y(m))?
2*m**2
Let o(b) = -5*b**2. Let k(h) = -49*h + 25*h + 27*h. What is o(k(v))?
-45*v**2
Let t(u) = -4*u. Let m(d) = -15*d + 19. Give m(t(y)).
60*y + 19
Let j(i) = i. Suppose 3*y + x = 893, -2*y + 5*x - 889 = -5*y. Let r(p) = y + 9*p - 298. Calculate j(r(h)).
9*h
Let g(b) = 3*b**2. Let k(r) be the third derivative of -r**4/4 - 4*r**3/3 - r**2 - 37. Determine g(k(z)).
108*z**2 + 288*z + 192
Let x(s) = 4*s - 14. Let r(y) = 15*y - 1. Let c(i) = 445*i - 30. Let p(m) = c(m) - 30*r(m). Give p(x(h)).
-20*h + 70
Let w(u) = -3*u. Let y(r) = 4*r**2 - 2*r - 12. Let q be y(-2). Let i(z) = -q*z + 313 - 160 - 153. Calculate i(w(d)).
24*d
Let u(c) = 2*c**2 + 20*c + 2. Let v be u(-10). Let t(z) be the third derivative of 0*z**3 + 0*z + 1/12*z**4 + 0 - 3*z**v. Let r(a) = -8*a**2. Determine t(r(o)).
-16*o**2
Let r(j) = 0*j**2 - j**2 + 0*j**2. Let d(b) be the second derivative of -35*b + 0*b**2 + 0 - 5/6*b**3. What is r(d(w))?
-25*w**2
Let w(d) = 11*d**2. Let h(a) be the second derivative of 5*a**4/6 + 14*a - 2. Give h(w(n)).
1210*n**4
Let r(f) = 3*f. Let z(n) = -4*n. Let o(v) = 3*r(v) + 4*z(v). Let c(l) be the first derivative of 5*l**3/3 - 81. Calculate c(o(w)).
245*w**2
Let y(b) = -b. Let t(x) = 47*x**2 - 15*x. Let q(s) = -24*s**2 + 6*s. Let c(p) = -10*q(p) - 4*t(p). What is c(y(l))?
52*l**2
Let m(o) = -11*o. Let a(f) be the first derivative of 13*f**2/2 + 323. What is a(m(r))?
-143*r
Let c(d) = -26*d**2 - 23*d**2 + 51*d**2. Let u(a) = 36*a - 7*a - 2*a. Calculate c(u(k)).
1458*k**2
Let s(d) be the third derivative of d**7/1008 - 7*d**5/60 + 5*d**2. Let v(i) be the third derivative of s(i). Let g(n) = -4*n. Determine g(v(q)).
-20*q
Let a(o) = o**2 - 4*o. Let n(d) = -5*d**2 - 12. Let u(h) = 4*h**2 + 9. Let x(z) = -3*n(z) - 4*u(z). Give a(x(k)).
k**4 + 4*k**2
Let o(a) = 3*a - 15. Let u(g) = -3*g**2. Let m(p) be the first derivative of p**3/3 + 17. Let z(c) = -2*m(c) - u(c). What is o(z(w))?
3*w**2 - 15
Let j(h) = h - 1. Let w(r) = r**2 + 3*r - 3. Let a(t) = -3*j(t) + w(t). Let u(g) = -g + 1. Let v(o) = -1. Let z(m) = 4*u(m) + 4*v(m). Determine z(a(q)).
-4*q**2
Let r(d) = -2*d**2. Let u(j) be the third derivative of -3*j**5/5 - 2*j**2 + 60. Calculate u(r(b)).
-144*b**4
Let k(m) = -2*m**2 - 14*m + 4. Let s be (-6)/4*2 - 3. Let l be k(s). Let r(x) = 13*x - 35*x + l*x. Let o(v) = -3*v**2. Calculate r(o(b)).
18*b**2
Let a(z) = 46*z + 3. Let x(p) = -440*p. Give x(a(i)).
-20240*i - 1320
Let n(u) be the second derivative of u**5/15 - u**3/3 - u. Let o(f) be the second derivative of n(f). Let i(l) = 32*l + 30*l - 61*l. Give o(i(p)).
8*p
Let j(k) = -k - 3*k + k - 6*k + k. Let f(h) = 0*h + 0*h + 5*h + h. Determine j(f(x)).
-48*x
Let c(q) = -7*q. Let r(x) = 65*x + 30. Let p(v) = 2*v + 1. Let n(o) = -30*p(o) + r(o). Give c(n(s)).
-35*s
Let m(j) be the first derivative of 7*j**2 - 10. Let t(k) = -3*k. Determine t(m(u)).
-42*u
Let r(p) = -5*p. Let x(q) be the first derivative of -4*q**3 + q + 825. Determine r(x(d)).
60*d**2 - 5
Let q(b) = 10*b - 1. Let j(l) = -19*l + 2. Let p(c) = 4*j(c) + 7*q(c). Let w(k) = 6*k**2. Calculate p(w(m)).
-36*m**2 + 1
Let w(o) = -2*o. Let g(r) = -5*r**2 - 20*r. Let d(h) = g(h) - 10*w(h). Let q(n) be the third derivative of -n**5/30 - n**2. Determine q(d(u)).
-50*u**4
Let f(c) = 7*c**2. Let d(m) = 13*m. Let v(g) = -28*g. Let t(y) = -9*d(y) - 4*v(y). What is t(f(o))?
-35*o**2
Let x(b) = 7*b + 13. Let i(v) = v + 2. Let w(p) = 39*i(p) - 6*x(p). Suppose -d = -9 + 1. Let q(a) = 5*a**2 + 8*a - d*a. Give w(q(u)).
-15*u**2
Let n(w) = -7*w**2. Let f(a) = -849*a**2. What is f(n(r))?
-41601*r**4
Let v(p) = 267*p**2. Let l(d) be the second derivative of -d**3/6 - 2*d - 13. Determine l(v(y)).
-267*y**2
Suppose -5*u + 40 = 5*j, -3*u + 7 = -3*j - 47. Let v(s) = -15 + 6 + 9 + u*s**2. Let t(c) = c**2. Calculate v(t(f)).
13*f**4
Let q(f) = -17*f + 5. Let b(h) = -494*h. Calculate q(b(z)).
8398*z + 5
Let z(k) = -591 + 591 - 38*k. Let m(g) = -10*g**2 - 11. Let n(p) = 2*p**2 + 2. Let a(i) = -2*m(i) - 11*n(i). Give a(z(q)).
-2888*q**2
Let y(o) = -3*o**2. Let w(q) = -1 - 2*q**2 - 2*q + 0*q + 1. Give y(w(a)).
-12*a**4 - 24*a**3 - 12*a**2
Let p(w) = 19*w. Let q(d) = 11357*d**2 + 16*d. Calculate p(q(r)).
215783*r**2 + 304*r
Let p(k) be the second derivative of -4*k**4/3 + 467*k. Let z(r) = -39*r**2. Give z(p(t)).
-9984*t**4
Let f(h) = 1. Let q(k) = 2*k + 1. Let o(d) = -4*f(d) - q(d). Let u = 3 + 2. Let j(x) = -2*x - 4. Let p(t) = u*j(t) - 4*o(t). Let y(s) = -10*s. What is y(p(i))?
20*i
Let u(l) = 6*l. Let p(o) = -26*o - 11. Let b(f) = 34*f + 11. Let d(g) = 3*b(g) + 4*p(g). Determine d(u(i)).
-12*i - 11
Let f(n) = 12*n**2. Let u(j) = j + 11. Let w be u(-5). Let o(i) = -4*i**2 + 12*i - 6. Let y(t) = t**2 - 2*t + 1. Let s(l) = w*y(l) + o(l). Calculate s(f(z)).
288*z**4
Let y(j) = 5258*j**2. Let l(n) = -n. What is l(y(g))?
-5258*g**2
Let j(r) be the third derivative of r**5/60 - 133*r**2 + r. Let l(v) = -2*v**2 - 7. Give l(j(p)).
-2*p**4 - 7
Suppose 50*t = 46*t + 16. Let j(b) be the third derivative of 0*b**t + 0*b - 1/20*b**5 + b**2 + 0 + 0*b**3. Let l(s) = -3*s**2. Determine l(j(o)).
-27*o**4
Let b(j) = -6*j**2 - 2. Let v(k) = -3*k**2 - 2*k + 2. Let i(z) = -2*z**2 - z + 1. Let m(f) = 2*i(f) - v(f). Determine b(m(r)).
-6*r**4 - 2
Let k(f) = -97*f. Let p(r) = -8*r + 44. Let h(d) = 3*d - 16. Let v(b) = -11*h(b) - 4*p(b). Give k(v(q)).
97*q
Let i(o) = o - 2. Let v(x) = 4*x - 7. Let c(f) = -7*i(f) + 2*v(f). Let h be 26 + -1 + (-4)/(-2). Let s(a) = -17*a + 24*a - h*a. Determine c(s(p)).
-20*p
Let h(q) be the second derivative of -q**3/3 - 70*q. Let s(l) = -13*l**2 - 4. Calculate h(s(z)).
26*z**2 + 8
Let s(r) be the second derivative of 0*r**2 - 3/2*r**4 + 0 - 16*r + 0*r**3. Let c(m) = m. Determine c(s(k)).
-18*k**2
Let y(s) = -20*s**2. Let x(g) = -3250*g - 8*g**2 + 3250*g. Determine y(x(z)).
-1280*z**4
Let k(j) = 1046*j**2 + 6*j + 1. Let v(t) = 2*t. What is v(k(a))?
2092*a**2 + 12*a + 2
Let y(f) = 4*f**2 - 3*f + 6. Let d(w) = -6*w**2 + 6*w - 10. Let j(c) = -3*d(c) - 5*y(c). Let n(a) = -9*a. Calculate n(j(v)).
18*v**2 + 27*v
Let b(g) = 16*g - 39*g + 19*g. Let m(z) = -4*z - 2*z**2 + 4*z. Give b(m(y)).
8*y**2
Let g(b) = -9*b + 4*b + 7*b. Let i(s) be the first derivative of -s**5/120 - 4*s**3/3 - 2. Let r(c) be the third derivative of i(c). Determine g(r(d)).
-2*d
Let v(b) = -4*b. Let s(y) = 15*y**2 + 2*y - 2. Let m(z) = -30*z**2 - 5*z + 5. Let k(c) = -2*m(c) - 5*s(c). Give v(k(q)).
60*q**2
Let b(y) = -29*y + 157*y + 0 - 2 + 42*y - 20*y. Let f(v) = 2*v. Calculate f(b(q)).
300*q - 4
Let q(y