t derivative of 31*w**3/3 - 2*w - 11. Let c(m) = 3*m. Let x(z) = -5*z. Let v(f) = -6*c(f) - 4*x(f). Give v(n(o)).
62*o**2 - 4
Let d(m) = 2*m**2. Let f(r) be the third derivative of -5*r**4/6 - 56*r**2. Calculate f(d(i)).
-40*i**2
Let y(i) = -4*i - 1105. Let x(f) = -5*f**2. Determine y(x(s)).
20*s**2 - 1105
Let g(j) = j**2. Let v be ((1 - 7) + -2)/((-1)/2). Let r(y) = -y + y + v*y. Determine g(r(w)).
256*w**2
Let s(y) = -853*y + 853*y + 11*y**2. Let m(k) be the first derivative of k**2 + 6. Determine s(m(f)).
44*f**2
Let f(b) = -2*b. Let x(k) = 147*k - 23. Let q(t) = 37*t - 5. Let d(c) = -9*q(c) + 2*x(c). Calculate f(d(a)).
78*a + 2
Let b(g) be the first derivative of g**3 + 19*g - 803. Let k(w) = 16*w**2. Give k(b(p)).
144*p**4 + 1824*p**2 + 5776
Let t = -15 + 19. Suppose h + t*h = 185. Let n(w) = -3*w**2 - h + 37. Let v(k) = -k**2. What is n(v(b))?
-3*b**4
Let p(b) = 17*b**2 + 2. Let y(z) be the third derivative of -z**5/60 - 3*z**2 - 6*z. Give p(y(n)).
17*n**4 + 2
Let p(w) = -19949*w**2. Let a(h) = 11*h**2. What is p(a(r))?
-2413829*r**4
Let r(q) = q**2. Suppose k - 3 = -3*d + 4*k, -d - 5*k + 13 = 0. Suppose 0 = -a + d*a - 132. Let t(x) = -66 + a + x**2. Determine t(r(w)).
w**4
Let p(z) be the first derivative of 1/24*z**4 - 3/2*z**2 + 0*z**3 + 0*z - 8. Let v(i) be the second derivative of p(i). Let g(n) = -10*n. What is v(g(h))?
-10*h
Let o(z) be the first derivative of z**5/12 + 5*z**2 - 10. Let c(q) be the second derivative of o(q). Let f(u) = -u**2. Give f(c(y)).
-25*y**4
Let z(w) = -15*w. Let c(g) = -488266*g**2. Give c(z(x)).
-109859850*x**2
Let r(w) = -3*w**2 - 179*w. Let m(y) = -y - 162. Determine m(r(i)).
3*i**2 + 179*i - 162
Let r(f) = -f + 17 - 12 - 5. Suppose -5*d + 5*z = -20, -d - 4*z + 4 = -0*z. Let t(c) = 3*c**2 - 6*c**2 - d*c**2 - c**2. Give r(t(k)).
8*k**2
Let j(m) be the third derivative of m**5/60 - 47*m**2 - 2. Let x(l) = 4*l - 14. Give x(j(d)).
4*d**2 - 14
Let n(t) = 12*t**2. Let y(f) = -8 - 12*f - 1 + 9. What is n(y(z))?
1728*z**2
Let o(c) = -48*c**2. Let r(v) = -93*v**2. What is o(r(q))?
-415152*q**4
Let o(s) be the second derivative of -s**6/360 - s**3 + 2*s. Let p(j) be the second derivative of o(j). Let f(u) = -3*u - 2*u + 4*u. What is p(f(x))?
-x**2
Let w(k) = 20*k + 0*k - 3*k + 15*k. Let p(c) = -2*c. What is p(w(a))?
-64*a
Let z(l) = -2*l**2 + 14 - 10*l**2 + 15*l**2 - 14. Suppose 0*b = 2*b + 4*i, 0 = -b + i + 3. Let g(w) = -b*w - w**2 + 2*w. Calculate z(g(t)).
3*t**4
Let s(b) be the third derivative of -b**5/60 - 43*b**2 + 6. Let j(i) = 463*i. Give j(s(m)).
-463*m**2
Let f(i) = -2*i**2. Let a be f(-2). Let g(d) = 1. Let p(l) = 12*l - 8. Let x(t) = a*g(t) - p(t). Let n(y) = -2*y. What is x(n(b))?
24*b
Let f(d) = 26*d**2 + 17*d**2 + 19*d**2 - 61*d**2 - 3. Let j(l) = 9*l. Determine f(j(y)).
81*y**2 - 3
Let z(n) = -6*n. Let b(x) be the third derivative of -13*x**5/30 - 14*x**2 + x. Determine z(b(d)).
156*d**2
Let z = 75 - 72. Let i(k) = 3*k + 57*k**2 - z*k - 18*k**2. Let m(a) = -a. Calculate m(i(x)).
-39*x**2
Let k(b) = -128*b + 391*b - 133*b - 131*b. Let z(s) = -s - 1. Give k(z(a)).
a + 1
Let y(p) be the first derivative of -p**3/3 + 38. Let l(r) = -435 + 435 - 20*r. Calculate l(y(z)).
20*z**2
Let i(o) = -25649*o**2. Let s(j) = 43*j. Calculate s(i(d)).
-1102907*d**2
Let h(y) = 467*y. Let q(i) be the first derivative of i**2 + 44. Determine h(q(p)).
934*p
Suppose w - 1 = 2*w - 5*p, 3*p = 0. Let g be ((-33)/4)/(w/4). Let v(m) = -2*m**2 - g + 33. Let b(u) = u**2. What is b(v(q))?
4*q**4
Let d(m) = -65*m**2 + 2*m. Let f(v) = -3*v + 15*v**2 + 47*v**2 - 55*v**2 + 57*v**2. Let u(y) = 3*d(y) + 2*f(y). Let j(o) = -o. Give u(j(q)).
-67*q**2
Let j(w) = -5*w. Let x(h) = 21907*h**2. Calculate j(x(v)).
-109535*v**2
Let w(c) = -2*c - 1. Let x(b) = -7*b - 3. Let f(r) = 3*w(r) - x(r). Let v(u) = -68*u. Determine v(f(i)).
-68*i
Let a(r) = -3*r + 2. Let s(j) = 8*j + 40. Let v(u) = -u - 10. Let t(o) = -s(o) - 4*v(o). Calculate a(t(h)).
12*h + 2
Let v(z) = -21*z - 7. Let i(k) = 8*k + 3. Let r(a) = -7*i(a) - 3*v(a). Let c(o) = 7*o. Determine r(c(q)).
49*q
Let k(v) = -4586*v. Let d(c) = -11*c. What is k(d(g))?
50446*g
Let k(b) be the second derivative of -b**4/12 + 35*b. Let v(l) be the third derivative of -7*l**5/10 - 12*l**2. Give k(v(t)).
-1764*t**4
Let i(h) = -16*h**2 + 6*h + 2. Let v(z) = z**2 + z. Let y(x) = 2*x - 4. Let c be y(-1). Let u(j) = c*v(j) + i(j). Let t(q) = -q**2. Calculate t(u(g)).
-484*g**4 + 88*g**2 - 4
Let g(v) = -122*v. Let n(o) = 130*o**2. Give g(n(q)).
-15860*q**2
Let x(n) = -89*n**2 + 118*n**2 + 5 - 6 + 1. Let k(a) = -6*a. Give x(k(u)).
1044*u**2
Let m(o) = -2*o**2 + 34*o + 2. Let l(n) = -11*n**2. Determine m(l(y)).
-242*y**4 - 374*y**2 + 2
Let z(a) = 0 + 0 + 5*a**2. Let d(t) = -5*t + 24*t - 6*t - 9*t - 12*t. Determine d(z(p)).
-40*p**2
Let j(x) = 10*x**2 + 3. Let s(v) = 70*v**2 + 20. Let u(y) = -20*j(y) + 3*s(y). Let c(n) = -5 + 0 - 3*n + 5. What is c(u(g))?
-30*g**2
Let j(k) be the first derivative of -k**2/2 + 3. Let q(n) be the third derivative of 7/15*n**5 + 0*n**4 + 3*n**2 + 0*n + 0*n**3 + 0. Determine q(j(i)).
28*i**2
Let b(s) = -2*s. Let w(p) be the second derivative of -p**4 - 48*p. What is w(b(z))?
-48*z**2
Let n(p) = 4*p. Let l(g) = -4*g**2 - 83*g - 15. What is n(l(m))?
-16*m**2 - 332*m - 60
Let s(l) = l. Let m(a) be the third derivative of -5*a**4/24 + 29*a**3/3 + a**2 - 41*a. Determine m(s(v)).
-5*v + 58
Let k(i) = i**2. Let a(u) be the first derivative of -u**2/2 + 6*u + 58. Let v(w) = 13 - w + 4*w - 5*w. Let q(g) = -13*a(g) + 6*v(g). Calculate q(k(s)).
s**2
Let r(m) = 17*m**2 - m**2 - 43*m**2 + 6*m**2. Let g(t) = 2*t + 3. Let h(l) = 3*l + 4. Let j(b) = 4*g(b) - 3*h(b). What is r(j(x))?
-21*x**2
Let g(v) = -2720*v**2 - 256*v. Let h = -641 + 385. Let k(y) = -32*y**2 - 3*y. Let n(t) = h*k(t) + 3*g(t). Let i(b) = b. Give n(i(u)).
32*u**2
Let f(t) = 2*t. Let a(d) = 3*d + 5. Let b(n) = 2*n + 1. Let m(s) = 4*a(s) - 5*b(s). Determine f(m(o)).
4*o + 30
Let i(a) = 2*a**2 + a + 167. Let y(c) = 89*c**2. Determine i(y(m)).
15842*m**4 + 89*m**2 + 167
Let t(o) = 14*o. Let z(u) = -87048*u. What is z(t(g))?
-1218672*g
Let k(a) = a**2 - 20*a + 584. Let q(y) = -6*y. What is k(q(b))?
36*b**2 + 120*b + 584
Let o(r) = -24*r**2. Let v be 6/(-9)*(-4 + 1). Let k(m) = m + 1. Let a(b) = -20*b + 1 + 20*b + b + b**2. Let t(g) = v*a(g) - 2*k(g). What is o(t(l))?
-96*l**4
Let g(n) be the first derivative of 27*n**2/2 + 4*n - 12. Let h(p) = -p**2. What is g(h(d))?
-27*d**2 + 4
Let u(o) = -2*o**2. Let s(x) = -1483*x**2 + 4*x. Calculate s(u(v)).
-5932*v**4 - 8*v**2
Let i(o) = 4*o. Let a(k) = -5089*k**2. Calculate i(a(n)).
-20356*n**2
Let z(o) = -o. Let r(w) = 60*w - 6*w**2 + w**2 + 57*w + 40*w - 128*w. What is r(z(i))?
-5*i**2 - 29*i
Let v(m) = -2*m. Suppose -g - 273 = -2*z + 4*g, -3*g = -5*z + 654. Let y be (3 - 1) + (z - 6). Let h(k) = -y - 5*k**2 + 125. What is h(v(x))?
-20*x**2
Let b(z) = -12*z. Let o(i) be the first derivative of 0*i + 1/2*i**2 - 5. Calculate o(b(g)).
-12*g
Suppose 5*i = -2*i + 21. Let l(p) = -p + 3*p + i*p + p. Let q(c) = 2*c**2. What is l(q(x))?
12*x**2
Let x(m) = -m**2. Let j(w) = 1384*w - 621. Give j(x(c)).
-1384*c**2 - 621
Let h(y) = -9*y. Let o(j) = -1425*j**2 + 250*j. Let v(f) = 23*f**2 - 4*f. Let k(n) = 2*o(n) + 125*v(n). What is k(h(p))?
2025*p**2
Let a(u) = 10*u**2. Let f(p) = -p**3 + 20*p**2 + 22*p - 17. Let s be f(21). Let k(i) = 127 + s*i - 127. What is a(k(n))?
160*n**2
Let s(f) = 8*f. Let w be 159/33 + 2/11. Let p be (-2 - (-36)/8)*2. Let x(n) = -p + 0 + w + 2*n. Determine s(x(v)).
16*v
Let m(p) = p. Suppose -22*c - 35 = -27*c. Let d(j) = 4*j**2 + 0*j**2 - 6*j - c*j**2 + 2*j**2. Calculate d(m(v)).
-v**2 - 6*v
Suppose 14 = b - 2*o, -3*o - 17 = b - 6. Let q(g) = 3*g - b + 4 - 2*g. Let d(x) = -3*x + 10*x + 0*x. Give q(d(l)).
7*l
Let c(l) = -4*l + 10. Let o(p) = -3*p**2 + 738*p. Give c(o(t)).
12*t**2 - 2952*t + 10
Let s(i) = 11*i**2. Let h(r) = -3071*r. Determine s(h(p)).
103741451*p**2
Let d(r) = 15*r. Let o(f) be the third derivative of f**4/12 - f**2 + 47. What is d(o(w))?
30*w
Let h(f) = -496699*f**2. Let s(d) = 4*d**2. Give h(s(k)).
-7947184*k**4
Let z(c) = 3*c. Let t(s) be the second derivative of 11*s**6/360 - s**3 - 2*s. Let g(i) be the second derivative of t(i). Calculate g(z(l)).
99*l*