3. Suppose 0 = 3*r + 2*r + 4*t + 41, -37 = 5*r + 3*t. Let x = r - -31. Let m(s) = -2*s - 16*s - 7*s + x - 19*s. Calculate -52*k(u) - 6*m(u).
4*u
Let l(o) = -2*o**3 + o**2 + o - 1. Let b(m) = -15*m**3 - 40*m**2 - 3*m + 3. What is b(i) + 3*l(i)?
-21*i**3 - 37*i**2
Let d(w) = 8*w**2 + 150. Let x(j) = -11*j**2 - 227. Give 8*d(g) + 5*x(g).
9*g**2 + 65
Let v(y) = 2*y**2 - 9*y + 5. Let n(s) be the second derivative of -s**4/12 + s**3/2 - s**2 - 4957*s. What is 8*n(g) + 3*v(g)?
-2*g**2 - 3*g - 1
Let q(o) = -2532*o - 342. Let v(x) = 844*x + 122. Determine -5*q(s) - 14*v(s).
844*s + 2
Let l(a) = a - 1. Let x(r) = -5*r**3. Let o be x(-1). Let y(k) = 4*k - 1. Let w(g) = g**3 - 18*g**2 - 114*g + 2226. Let c be w(17). Determine c*y(h) + o*l(h).
h - 4
Let s(h) = 20*h + 152. Let c(b) = -11*b - 90. Determine -11*c(t) - 6*s(t).
t + 78
Let j(q) = q**2 - 9*q - 53. Let i be j(-4). Let v(z) = -z**2 - z - 1. Let l(o) = 5*o + 7*o**2 + 8*o**2 + 5 - 11*o**2 + o. Calculate i*l(y) - 6*v(y).
2*y**2 + 1
Let j(b) = -7*b - 2. Let q(k) = 7*k + 1. Suppose 882*o - 878*o + 8 = 0. Determine o*j(u) - 3*q(u).
-7*u + 1
Let b(f) = 18902*f**3 + 55*f - 5. Let u(v) = -28353*v**3 - 77*v + 7. Give -7*b(t) - 5*u(t).
9451*t**3
Suppose 0 = -5*w + 4*w + 68. Suppose -8*h + 20 = -w. Let m(n) = -h - 12*n + 9*n + 10. Let p(v) = -2*v. Calculate -3*m(u) + 4*p(u).
u + 3
Let y(d) = -8134*d**3 + 8*d + 9. Let c(z) = -8133*z**3 + 7*z + 8. What is -9*c(k) + 8*y(k)?
8125*k**3 + k
Let b(x) be the second derivative of x**4/3 - 7*x**3/2 - 5*x**2 + 899*x. Let j(k) = -k**2 + 4*k + 2. Calculate 2*b(w) + 11*j(w).
-3*w**2 + 2*w + 2
Let z(k) = 2*k - 6. Let i be z(4). Let p(l) = 6 + 3860*l - 1942*l - 1921*l. Let v(d) = 3*d - 7. Determine i*v(a) + 3*p(a).
-3*a + 4
Let t(d) = -22*d - 32. Let k(f) = -19*f - 33. Calculate 4*k(w) - 3*t(w).
-10*w - 36
Let v(i) = -17*i + 5. Suppose -25 = -5*a, 7*a - 12*a = 2*w - 45. Let d be 23 + -25 + -1 + w. Let h(s) = 9*s - 3. Calculate d*h(k) + 4*v(k).
-5*k - 1
Let z(q) = 146*q - 226. Let w(h) = 100*h - 151. What is 7*w(o) - 5*z(o)?
-30*o + 73
Let q be (-28)/(-6)*(-117)/26. Let d(h) = -3*h**2 + 2*h. Suppose 5*r - 2*r - 6 = 0. Let f(a) = 14*a - 6*a - a - 10*a**r. Calculate q*d(p) + 6*f(p).
3*p**2
Let a(x) = -4*x**3 + x**2 - 7*x - 9. Let n(l) = -2*l**3 + l**2 - 3*l - 5. Let m = 11156 - 11159. Determine m*a(q) + 5*n(q).
2*q**3 + 2*q**2 + 6*q + 2
Let k(j) = 5*j**3 - 3*j**2 - 10*j - 3. Let d(y) = 87*y - 530. Let r be d(6). Let b(i) = 14*i**3 - 8*i**2 - 29*i - 8. What is r*k(m) + 3*b(m)?
2*m**3 - 7*m
Let j(l) = -5*l - 5. Let h(f) = -132*f - 33. Let c(s) = -35*s - 8. Let q(m) = -11*c(m) + 3*h(m). Suppose -1 = 3*w + 14. Calculate w*j(o) + 2*q(o).
3*o + 3
Let b(h) = 311*h**3 - 11 + 200*h**3 - 11*h**2 - 487*h**3 + 11*h. Let c(k) = 2 + 0 + 5*k**3 + 2*k - 2*k**2 - 2 - 2. What is 2*b(y) - 11*c(y)?
-7*y**3
Let p be (4 - (-1535)/15) + 10/15. Suppose -p*x = -88*x - 19. Let n(m) = -m. Let l(y) = -8*y**2 + 2*y + 2. What is x*l(u) + 2*n(u)?
-8*u**2 + 2
Let w(x) = -2*x - 1. Let m(i) = -10*i - 864. Calculate m(c) - 6*w(c).
2*c - 858
Let x(d) be the third derivative of 5*d**4/24 + 5*d**3/6 - d**2. Let b(k) = -k - 19*k + 12*k + 0*k + 15*k - 1 - 8*k. Let h = 2 - 11. Give h*b(t) - 2*x(t).
-t - 1
Let n(d) = -8*d**3 - 16*d**2 + 12. Let h(f) = f**2 - 26*f + 2. Let m(p) = 26*p - 3. Let w(r) = h(r) + m(r). Determine n(j) + 16*w(j).
-8*j**3 - 4
Let d(l) = l**2. Let o(n) = 12*n**2. Let f(i) = 4*i**3 - 94*i + 30*i**2 + 9*i**3 + 24*i**2 - 94 - 4*i**2 - 14*i**3. Let v be f(48). Calculate v*o(r) - 18*d(r).
6*r**2
Let a(x) = -5*x**2 + 3*x + 24. Let j(b) = -2*b**2 - b + 22. Let v(h) = 4*a(h) - 5*j(h). Let n(g) = 3*g**2 - 6*g + 5. What is -17*n(y) - 6*v(y)?
9*y**2 - 1
Let n(z) = -z**3 - 2*z**2 - 4*z - 3. Let s be n(-2). Let a = 247 - 244. Let l(i) = -2*i - 4*i**3 + 3*i**3 + s - a. Let y(k) = k**2 + k - 1. Give l(r) + 2*y(r).
-r**3 + 2*r**2
Let u(z) = -2*z**3 + 8*z**2 + 44*z - 2. Let y(k) = 2*k**3 - 12*k**2 - 44*k + 3. Give -3*u(j) - 2*y(j).
2*j**3 - 44*j
Suppose 0 = 206*r - 19 + 1570 + 715. Let m(w) = w - 1. Let o(k) = 2*k - 3. What is r*m(b) + 6*o(b)?
b - 7
Suppose 552 - 534 = 18*i. Let c(p) = -9*p + 0*p**2 - 6*p + 18*p - 3 - 10*p**2. Let u(r) = r**2 - r + 1. Determine i*c(k) + 3*u(k).
-7*k**2
Let f(h) = -3*h + 5. Let s(t) = 3*t - 4. Suppose 0 = 19*w - 29446 + 29484. Let d = 1 + -4. Determine d*s(c) + w*f(c).
-3*c + 2
Let q(a) = 5*a**3 - 5*a**2 - 5. Let t be 30/40 + ((-442)/(-8) - -2). Suppose t = 4*v + 78. Let n(k) = -5*k**3 + 4*k**2 + 4. Calculate v*n(z) - 4*q(z).
5*z**3
Let w(k) = -1691*k**3 - 55*k**2 + 3*k. Let j(s) = 8456*s**3 + 266*s**2 - 15*s. Give -6*j(o) - 29*w(o).
-1697*o**3 - o**2 + 3*o
Let y(d) = -7068*d**2 + 8*d. Let c(s) = -56544*s**2 + 62*s. Determine -4*c(b) + 31*y(b).
7068*b**2
Let k(h) = 5*h. Suppose -2*m = -49 + 477. Let a = -216 - m. Let w(r) = -4*r. Determine a*w(x) - 3*k(x).
-7*x
Let b(y) = -y**3 + 2*y**2. Let c(d) = -16*d**3 + 22*d**2 - 37. Give -10*b(m) + c(m).
-6*m**3 + 2*m**2 - 37
Let h(v) = -v**2 + v. Let w(y) = 15*y**2 - 3*y + 3. Calculate -2*h(i) - w(i).
-13*i**2 + i - 3
Let b(n) = 8*n + 1. Let r be 165/(-75) + (-56)/70. Let a(u) = -7*u - 1. Give r*a(s) - 2*b(s).
5*s + 1
Let k(d) = 16*d - 4. Let q(y) = -y - 2. Let l(j) = -k(j) + 2*q(j). Let m(u) = -u. What is -l(p) + 12*m(p)?
6*p
Let p(m) = -28*m**2 - 27*m - 135. Let l(n) = -27*n**2 - 27*n - 108. Calculate -5*l(b) + 4*p(b).
23*b**2 + 27*b
Let i(y) = -29 - 17 - 23*y - 11*y**2 + 53 + 22*y. Let f(j) = 6*j**2 + j - 4. Determine 7*f(g) + 4*i(g).
-2*g**2 + 3*g
Let l(x) = 3*x**3 + 5*x + 1. Let o(s) = 6*s**3 + 11*s + 2. Suppose 2*v - 81 = -10*v + 27. Let r = 3 - 7. Determine r*o(i) + v*l(i).
3*i**3 + i + 1
Let x(m) = -11*m**3 + 12*m**2 - 4*m - 11. Let u(p) = -13*p**3 + 13*p**2 - 3*p - 8. Give -4*u(o) + 3*x(o).
19*o**3 - 16*o**2 - 1
Let b(q) = 2503*q**2 - 2*q - 2. Let k(y) = -15698813*y**2 + 12545*y + 12545. Calculate -12545*b(i) - 2*k(i).
-2509*i**2
Let s(g) = 9*g**2 - 3. Let j(x) = 47*x - 385. Let w be j(6). Let h = -100 - w. Let f(u) = 46*u**2 - 16. Calculate h*f(t) - 16*s(t).
-6*t**2
Suppose 1 = 4*k - 7. Let c(r) = 2*r + 2*r**k - 13*r**2 + 2 + 6*r**2. Let t(n) = -110*n**2 + 45*n + 45. Let p be (-5 - 8) + 22/2. What is p*t(d) + 45*c(d)?
-5*d**2
Let d(z) = -906 - 6*z**3 + 3*z**2 - z + 908 - z. Let r(q) = 13*q**3 - 7*q**2 + 5*q - 5. Suppose 9*p + 185 = 4*p. Let o = -35 - p. Determine o*r(m) + 5*d(m).
-4*m**3 + m**2
Let a(m) be the second derivative of 0 - 7*m + 5/6*m**3 + 2*m**2 + 1/3*m**4. Let r(w) = -7*w**2 - 9*w - 7. Let v be (3/5 - 52/20)*-3. What is v*r(y) + 11*a(y)?
2*y**2 + y + 2
Suppose -w + 6 + 5 = 0. Let j(l) = 2*l**2 + 3*l - 7. Let r(y) be the first derivative of y**3/3 + y**2 - 4*y + 725. Determine w*r(i) - 6*j(i).
-i**2 + 4*i - 2
Let a(m) = 14*m**2 + 5*m. Let l(n) = -20*n**2 - 9*n + 2. Give -5*a(p) - 3*l(p).
-10*p**2 + 2*p - 6
Let o be -3*3/(-9) - 164/(-2). Let c = -87 + o. Let d(z) = 2*z + 9. Let f(g) = -2*g - 8. Determine c*d(u) - 5*f(u).
2*u + 4
Let s(f) = -2. Let t(v) = v + 11. Let c = 771 - 708. Let l = c - 61. What is l*t(g) + 11*s(g)?
2*g
Let u(r) = 5*r + 11. Let l(a) be the second derivative of -3*a**3/2 - 21*a**2/2 - 2363*a. Calculate 6*l(c) + 11*u(c).
c - 5
Suppose 135*h = 46*h + 68*h - 63. Let b(i) = 2*i**3 - 5*i**2 - 2*i + 3. Let k(q) = -q**3 + 5*q**2 + 2*q - 2. Calculate h*k(o) - 2*b(o).
-o**3 - 5*o**2 - 2*o
Let i(f) = -36*f**3 - 18235*f**2 + 11*f + 11. Let m(r) = 26*r**3 + 13675*r**2 - 8*r - 8. What is -8*i(q) - 11*m(q)?
2*q**3 - 4545*q**2
Let y(l) = l**3 + l**2 - 1. Let p(o) = o**3 - 4*o**2 - 2*o - 2. Suppose 20*v + 28 = 50*v + 88. Give v*y(q) + p(q).
-q**3 - 6*q**2 - 2*q
Let m(u) = 10479*u - 56. Let s(t) = 953*t - 5. What is -5*m(p) + 56*s(p)?
973*p
Let t(f) = -2242*f**3 - 13*f**2 - 50*f - 25. Let h(b) = 560*b**3 + 3*b**2 + 12*b + 6. Give 25*h(n) + 6*t(n).
548*n**3 - 3*n**2
Let n(b) = -b**2. Let l(w) = -53*w**2 - 207*w + 3. Let x(d) = 69*d - 1. Let g(a) = -l(a) - 3*x(a). What is g(q) + 6*n(q)?
47*q**2
Let g(k) = 10*k + 18. Let x(f) = -45*f - 58. Let t(o) = 10*g(o) + 3*x(o). Let l(q) = 2660*q - 455. Give 6*l(s) + 455*t(s).
35*s
Let d(b) = -b - 1. Suppose 0*o = -3*o + 15. Let j = 764 + -762. Let y(g) = -g + o*g - j - 2*g + 5. Calculate -5*d(z) - 2*y(z).
z - 1
Let g(j) be the second derivative of -j**4/12 - j**3/6 - 23*j