 - p*h - 18*h - 26*h. Let o(s) = s. Determine v(o(k)).
-39*k
Let s(i) be the second derivative of -2*i**3 - i**2/2 - i. Let w(q) be the second derivative of -q**3/6 - 521*q. Determine w(s(o)).
12*o + 1
Let k(v) = -548*v**2. Let j(m) = -1940*m. Determine k(j(z)).
-2062452800*z**2
Let a(b) = b - 2*b + 5*b. Let x(p) = -p**2 + 22*p. Give x(a(q)).
-16*q**2 + 88*q
Let n(k) = -3*k. Let g(j) = -22 - 9*j - 7*j + 15*j. Determine n(g(t)).
3*t + 66
Let c(y) = -2*y**2. Let g(f) = -870533*f. Determine c(g(q)).
-1515655408178*q**2
Let g(a) be the second derivative of 0*a**2 - 12*a + 1/2*a**3 + 0. Let z(o) = 5*o. Calculate z(g(m)).
15*m
Let z(a) = 5*a - 2. Let v(q) = 4*q**2 + 1176. What is z(v(r))?
20*r**2 + 5878
Let h(g) = 10*g + 40. Let s(n) = 18*n + 82. Let q(p) = 5*h(p) - 3*s(p). Let v(j) = -2*j**2. Give q(v(a)).
8*a**2 - 46
Let l(v) = v**2. Let z(q) be the third derivative of -q**4/24 + q**3/6 - 10*q**2. Let m(y) = -y**2 - 4*y + 4. Let u(b) = 3*m(b) - 12*z(b). Give l(u(s)).
9*s**4
Let t(c) = 4*c. Let a(k) = -31*k - 1. Let o(q) = -46*q - 2. Let s(v) = 8*a(v) - 5*o(v). What is s(t(r))?
-72*r + 2
Let w(j) = 12*j + 24. Let v(l) = 5*l + 13. Let t(a) = 11*v(a) - 6*w(a). Let u(k) = -2*k**2. Give u(t(i)).
-578*i**2 - 68*i - 2
Let q(x) = -412*x + 2. Let s(a) = 2*a**2 + 686. Give s(q(i)).
339488*i**2 - 3296*i + 694
Let a(y) = 48643*y**2. Let k(r) = r**2 - 17*r. Determine k(a(m)).
2366141449*m**4 - 826931*m**2
Let v(p) be the first derivative of -p**3/3 + 3. Let f(l) = 10*l - 7*l - 4*l - 3*l. Determine f(v(d)).
4*d**2
Let s(f) = -46*f**2 + 17*f - 17. Let j(q) = -16*q**2 + 6*q - 6. Let u(w) = -17*j(w) + 6*s(w). Let v(a) = 5*a. What is v(u(d))?
-20*d**2
Suppose -5*t + 14 + 1 = 0. Let k(q) = q + q - t*q. Let f(l) = 2*l + 2*l + 6*l - 11*l. Calculate k(f(u)).
u
Let h(v) = -2872*v. Let f(s) = -343*s**2. Determine f(h(u)).
-2829195712*u**2
Let a(d) = -365430*d**2. Let f(i) = -i. What is a(f(j))?
-365430*j**2
Let x(l) = 4*l. Let j(o) = 2320*o**2. What is x(j(i))?
9280*i**2
Let k be 26*(-1)/(-2) + -2. Let a = k - 6. Let t(p) = 5 - p - a. Let r(i) = -10*i**2. Determine r(t(g)).
-10*g**2
Let c(j) = -6*j**2. Let s(x) be the third derivative of -1/12*x**4 + 0*x + 9*x**2 + 0 + 0*x**3. Determine c(s(g)).
-24*g**2
Let b(u) be the second derivative of -u**4/6 - 30*u**2 + 9*u. Let m(i) be the second derivative of i**3/3 + 3*i + 49. Calculate b(m(c)).
-8*c**2 - 60
Let k(s) = -5*s. Let o(m) = -10616*m**2 - m - 2. Determine k(o(f)).
53080*f**2 + 5*f + 10
Let b(m) = -9*m. Let h(z) = -791*z**2 - 2*z + 2. Determine h(b(v)).
-64071*v**2 + 18*v + 2
Let g(c) = c. Let z(s) = 118*s - 50*s - 59*s. Let m(o) = 5*o. Let u(i) = 5*m(i) - 2*z(i). Give g(u(v)).
7*v
Let n(s) be the first derivative of -29*s**2 + 79. Let u(c) = -2*c**2. Give u(n(o)).
-6728*o**2
Let g = 35 + -32. Suppose -g*p + 14 = -31. Let q(m) = p*m - 9*m - 7*m. Let z(x) = 21*x**2. Determine z(q(r)).
21*r**2
Let p(x) = -44*x**2 + 676*x + 2. Let q(c) = -7*c**2. What is p(q(z))?
-2156*z**4 - 4732*z**2 + 2
Let a(h) = -h**2. Let u(o) = -5*o - 3. Let j(f) = -2*f - 1. Let x(t) = 8*j(t) - 3*u(t). Let y(q) = 12*q + 2. Let l(c) = -2*x(c) + y(c). Determine l(a(p)).
-14*p**2
Let y(j) = j**2. Let d(z) be the second derivative of 0*z**2 + 10*z + 0 + 17/6*z**3. Determine d(y(q)).
17*q**2
Let q(h) be the first derivative of 0*h**2 + 2/3*h**3 + 0*h - 3. Let c(r) be the first derivative of -5*r**3/3 - 5. Give c(q(a)).
-20*a**4
Let a(f) = -37*f - 10. Let j(d) = 22*d + 6. Let p(b) = -3*a(b) - 5*j(b). Let u(y) = -193*y**2. Give u(p(w)).
-193*w**2
Let z(i) = -2*i**2. Let j(q) = 2*q**2 - 2*q - 3. Let x(t) = -102*t - 1 - 3*t**2 + 105*t + 6. Let m(d) = 5*j(d) + 3*x(d). What is z(m(v))?
-2*v**4 + 4*v**3 - 2*v**2
Let d(l) = -3*l + 5. Suppose -4*s + 8*s = 20. Let m(v) = -15*v + 24. Let i(b) = s*m(b) - 24*d(b). Let g(k) = 2*k**2. Determine g(i(r)).
18*r**2
Let n(f) = -20*f. Let v(x) = x + 1. Let p(m) = 2*m + 3. Let k(a) = -4*p(a) + 12*v(a). What is k(n(j))?
-80*j
Let o(n) = n. Let p = 83 + -80. Let d = 3 + -1. Let b(x) = -3 + 8*x**2 + p - 4*x**d. Determine o(b(c)).
4*c**2
Let k(j) = -3*j. Let n(q) = -442630*q**2. Determine n(k(x)).
-3983670*x**2
Let n(d) = -d. Let o(q) be the second derivative of -q**3/3 - 5*q**2/2 + 4*q + 37. Give o(n(s)).
2*s - 5
Suppose 4*l + 22 = 82. Let u be 3/(-9) - (-35)/l. Let a(o) = -6*o - 3*o - u*o. Let j(x) = -x. Calculate j(a(m)).
11*m
Let y(a) = 1600*a. Let t(f) = -112*f. Calculate y(t(j)).
-179200*j
Let z(m) = -m**2 - 10. Let a(d) = -2*d**2 - 16. Let l(k) = -5*a(k) + 8*z(k). Let f(s) be the third derivative of s**5/10 + 2*s**2. Determine f(l(p)).
24*p**4
Let w(h) = 7*h**2 - 2. Let k(t) = 2*t - 1. Let a(i) = 8*i - 5. Let o(n) = a(n) - 5*k(n). Calculate w(o(x)).
28*x**2 - 2
Let v(i) be the first derivative of -169*i**2/2 + 221. Let w(x) = -2*x**2. What is w(v(h))?
-57122*h**2
Let i(b) = -15*b - 8*b + 21*b. Let h(o) = -2*o + 27. What is h(i(x))?
4*x + 27
Let b(g) be the first derivative of g**3/3 + 81*g - 111. Let s(m) = m. Give b(s(t)).
t**2 + 81
Let b(p) = -2*p**2. Suppose -5*f + 0*i - 3*i + 62 = 0, i + 26 = 3*f. Let s(j) = f*j**2 + 6*j**2 - 4*j**2. Give s(b(r)).
48*r**4
Let g(k) = k**2 - 15*k - 11. Let c be g(16). Let o(y) = -5*y + c*y - 4*y**2. Let u(f) = -f**2. What is u(o(b))?
-16*b**4
Let r(u) = -12*u - 12. Let h(q) = -q + 1. Let l(k) = 15*h(k) - r(k). Let y(w) = 3*w**2. Determine l(y(c)).
-9*c**2 + 27
Let q(u) = 2*u**2. Let x(m) = 1703461*m**2. Determine x(q(r)).
6813844*r**4
Let d(j) = 3*j**2 + 3*j**2 - 4*j**2. Let s(u) = -8*u**2 + 20*u - 10. Let w(q) = -q**2 + 4*q - 2. Let k(b) = -s(b) + 5*w(b). What is k(d(t))?
12*t**4
Let p(w) = -3*w**2 + 1. Let b(q) = -13*q**2 + 4*q + 4. Let v(s) = b(s) - 4*p(s). Let r(y) = 4*y. Give r(v(m)).
-4*m**2 + 16*m
Let c(u) = 25*u. Suppose 0 = 5*b - 4*s + 67, -7*s + 70 = -5*b - 2*s. Let l(z) = -3*z + 2. Let y(i) = -16*i + 11. Let m(w) = b*l(w) + 2*y(w). Determine c(m(d)).
25*d
Let u(k) = -3*k**2. Let y(g) be the first derivative of -g**5/10 - 7*g**3 + 26. Let h(a) be the third derivative of y(a). Determine h(u(x)).
36*x**2
Let v(h) = -3 - 2778*h + 3 + 2753*h + 0. Let k(x) = -7*x**2. Determine v(k(y)).
175*y**2
Let b(f) = -2*f**2. Suppose h - 3*h - 18 = -2*n, -2*n + 5*h + 12 = 0. Let y(p) = -13 + 13 + n*p**2. Determine y(b(v)).
44*v**4
Let n(v) be the second derivative of -v**3/6 - v**2/2 - 4*v. Let k(c) be the second derivative of -c**3/6 + 734*c. Calculate k(n(j)).
j + 1
Let z(t) be the third derivative of t**5/60 - t**3/2 + 12*t**2. Let h(o) = o**2 - 4. Let l(p) = -3*h(p) + 4*z(p). Let u(w) = -7*w. Determine l(u(y)).
49*y**2
Let y(o) = -40*o - 115 + 54 + 57. Let s(w) = w. Determine y(s(i)).
-40*i - 4
Let m(g) = 4*g + 8. Let h(p) = 83*p - 122*p + 42*p. Give h(m(z)).
12*z + 24
Let r(z) be the third derivative of z**5/60 - 79*z**2 + z. Let c(x) be the third derivative of 13*x**5/60 + x**2. What is c(r(d))?
13*d**4
Let n(h) = 1325*h. Let w(p) = -231*p. Calculate n(w(q)).
-306075*q
Let y(d) = -d**2. Let p(k) = -7*k**2 - 6*k - 3. Let j(n) = -14*n**2 - 14*n - 7. Let r(u) = 3*j(u) - 7*p(u). Give y(r(c)).
-49*c**4
Let u(o) = 11*o**2. Let w(m) = -m - 1. Let v(c) = -6*c - 4. Let r be -1 + 3 - (-18)/(-3). Let k(z) = r*w(z) + v(z). Calculate k(u(b)).
-22*b**2
Let x(k) = -28*k - 2. Let n(g) be the third derivative of -g**4/12 - 127*g**2. Determine n(x(h)).
56*h + 4
Let y(u) = 5*u**2. Let v be 3669*1/3 - 3. Let k(w) = 1220 - v + 16*w**2. Calculate k(y(g)).
400*g**4
Let o(a) = 82*a - 3. Let n(z) = -300*z. What is n(o(p))?
-24600*p + 900
Let i(l) = 8*l. Let z(g) = -41872*g + 3. Calculate i(z(u)).
-334976*u + 24
Let f(w) be the third derivative of 11*w**8/20160 + w**5/30 - 4*w**2. Let r(t) be the third derivative of f(t). Let d(b) = -4*b. What is d(r(c))?
-44*c**2
Let n(i) = -15878*i**2 + i + 2. Let k(x) = -6*x**2. Give n(k(m)).
-571608*m**4 - 6*m**2 + 2
Let h = 85 - 23. Let q(i) = -h*i - 1 + 1 + 64*i. Let o(p) = -p**2. Calculate q(o(b)).
-2*b**2
Let w(b) = -28*b - 87*b + 153*b. Let c(r) = 4*r. Give w(c(a)).
152*a
Suppose 5*v - 5*d = 25, v + d = -v + 1. Let a(r) = -r - 1461 + 1461 - v*r. Let o(c) = -6*c**2. Determine o(a(p)).
-54*p**2
Let z(d) = 8*d - 734. Let m(h) = h. What is m(z(y))?
8*y - 734
Let s(p) = 0*p - 14*p**2 + 16*p**2 + 0*p. Let r(o) = -1667 + 107*o**2 + 833 + 834. Determine s(r(c)).
22898*c**4