 4. Determine 5*a(k) - 2*c(k).
-2*k**3 - 2*k**2 + 2*k
Let l(v) = 13*v**3 + 15*v**2 - 10*v + 3. Let j(g) = 3*g**3 + 4*g**2 - g. Calculate -4*j(i) + l(i).
i**3 - i**2 - 6*i + 3
Let g(u) = 13*u**2 - 3*u - 3. Let z be 53/(6360/(-480)) + (1/1 - 1). Suppose 7 = 2*b + 1. Let s(x) = 14*x**2 - 4*x - 4. Calculate b*s(l) + z*g(l).
-10*l**2
Let m(l) = 2*l**2 + 3*l - 8. Let q(a) = 4*a**2 + 6*a - 17. Let k = 19526 + -19524. Give k*q(c) - 5*m(c).
-2*c**2 - 3*c + 6
Let j(f) be the first derivative of 0*f - 11/3*f**3 - 1 + 5/2*f**2. Let o(y) = 6*y**2 - 3*y. Let q(s) = -s**2 - 17*s + 3. Let c be q(-17). Give c*j(m) + 5*o(m).
-3*m**2
Let v(m) = 3*m**2 - 2*m - 2 - 2 + 7 + 2*m**3. Let a(n) = -35*n + 3*n**3 + 7*n**2 + 5607 - 2794 + 30*n - 2806. What is 2*a(l) - 5*v(l)?
-4*l**3 - l**2 - 1
Let u(g) = -66*g**2 + g + 2. Let j(c) = -62*c**2 + c + 3. Calculate -5*j(k) + 4*u(k).
46*k**2 - k - 7
Let q(d) = -d**2. Suppose 0 = -3*g - 3*m + 4 + 41, -2*g = -4*m - 6. Let i be (-3 - -5) + (g - 10). Let p(v) = -2*v**2. Give i*p(s) - 4*q(s).
-2*s**2
Let a(n) = -33*n**2 - 37*n - 34. Let k(p) = 19*p**2 + 19*p + 17. Give -3*a(g) - 5*k(g).
4*g**2 + 16*g + 17
Let l(u) = -10*u**3 - 6*u**2 - 32*u - 978. Let f(b) = 8*b**3 + 5*b**2 + 27*b + 979. Calculate -6*f(n) - 5*l(n).
2*n**3 - 2*n - 984
Let v = -65 + 59. Let u(n) = 10*n**3 + 638 - 655 + 17*n + 11*n**3 - 11*n**2. Let c(j) = 7*j**3 - 4*j**2 + 6*j - 6. What is v*u(x) + 17*c(x)?
-7*x**3 - 2*x**2
Let w(n) = -15149*n**2 - 32*n - 16. Let p(d) = 5050*d**2 + 12*d + 6. Determine 8*p(s) + 3*w(s).
-5047*s**2
Let i(l) = 2*l - 2. Let r(v) = 3*v - 5. Let d = -2973 - -2940. Suppose -n - 3*n + 195 = -5*j, -5*j - 160 = 3*n. Let b = d - j. Determine b*r(w) - 5*i(w).
-4*w
Let q(o) = o - 6. Let v(g) = 396*g - 131*g - 135*g - 1 - 127*g - 16. What is -11*q(n) + 4*v(n)?
n - 2
Let b(m) = -6*m + 4. Let a(s) = 3 + 63*s - 2 - 56*s - 7 + 2. Determine -4*a(v) - 5*b(v).
2*v - 4
Let l(g) = 6*g - 3. Let x(c) = 7*c - 2. Suppose 5*t - 20 = 5*f, 4*t = 89*f - 91*f + 10. What is t*l(o) - 4*x(o)?
-10*o - 1
Let x(q) = 5*q**2 + 4*q. Let i = 307 + -278. Suppose i*c + 15 = 14*c. Let z(u) = u**3 + u. Determine c*x(l) + 2*z(l).
2*l**3 - 5*l**2 - 2*l
Let q(a) = 24*a + 54. Let v(g) be the third derivative of 5*g**4/24 + 11*g**3/6 - 10*g**2 - 22*g - 2. Determine -6*q(i) + 28*v(i).
-4*i - 16
Let m(d) = -d**3 + d**2 - d - 1. Let n(p) = -10*p**3 + 11*p**2 - 8*p - 11. Let i(w) = -4*w + 154. Let h be i(39). Let f = -218 + 240. What is f*m(y) + h*n(y)?
-2*y**3 - 6*y
Let b(o) = -203*o + 11. Let a(z) = -205*z + 8. Determine 4*a(c) - 3*b(c).
-211*c - 1
Let c(y) = -7*y - 2. Let v(o) = -7*o - 3. Let i(x) = -3*c(x) + 2*v(x). Let r(h) = h. Suppose 3*b = -5*t - 3, -3*t = 3*b - 6*t - 21. Give b*r(w) - i(w).
-3*w
Let k(a) = -a**3 + 3*a**2 + 2*a + 1. Let r(z) = -4210*z**3 + 15156*z**2 + 10104*z + 5052. What is 5052*k(d) - r(d)?
-842*d**3
Let h(v) be the third derivative of -5*v**4/24 - v**3/2 + 1179*v**2. Let z(p) = -3*p - 1. Calculate -2*h(x) + 5*z(x).
-5*x + 1
Let z(v) = v + 34. Let t(g) be the third derivative of -g**4/24 - 35*g**3/6 - 32*g**2 - 3*g. Determine -3*t(w) - 4*z(w).
-w - 31
Let y(w) = w - 12. Let s(q) = -111 + 54 + 3*q + 75 - 5*q. Let i(g) = 5*s(g) + 8*y(g). Let p = 0 - 6. Let j(k) = k + 1. What is p*j(n) - i(n)?
-4*n
Let s(z) be the first derivative of -7*z**2/2 - 4*z + 2. Let u(a) be the second derivative of -21*a**3/2 - 35*a**2/2 + 3420*a. Determine -35*s(v) + 4*u(v).
-7*v
Let p(j) = j. Let a(i) be the second derivative of i**3 - i**2 + 5*i - 2. Let d(f) = -4*f + 1. Let o(y) = 3*a(y) + 4*d(y). Give o(z) - 3*p(z).
-z - 2
Let n(m) = 2999634*m**2 - 15472*m. Let t(o) = 1939*o**2 - 10*o. Calculate 5*n(h) - 7736*t(h).
-1934*h**2
Let h(t) = 2*t**2 - 2*t. Let b(l) = -427*l**2 + 9*l. Determine -b(i) - 5*h(i).
417*i**2 + i
Let u(b) = -2*b**3 + b**2 + b - 1. Let o(f) = -7*f**3 + 2*f**2 + 2*f + 21. Give -o(r) + 2*u(r).
3*r**3 - 23
Let b(p) = -16 + 12 - 2098*p**2 + 1042*p**2 + 1043*p**2 - 10*p. Let n(k) = -4*k**2 - 3*k - 1. What is -2*b(c) + 7*n(c)?
-2*c**2 - c + 1
Let b(y) = 23*y**2 - 744*y + 13. Let z(h) = -2*h**2 - 6*h - 1. What is b(m) + 12*z(m)?
-m**2 - 816*m + 1
Let o(w) = 2*w**2 - 2*w - 1. Let p(r) = -5*r**2 - 24*r + 49. What is 3*o(a) + p(a)?
a**2 - 30*a + 46
Let t(z) = 17*z**3 - 3*z**2 - 3. Let x(y) = -322*y**3 + 56*y**2 + 56. Suppose 455*d = 462*d - 392. Give d*t(u) + 3*x(u).
-14*u**3
Let a(y) = y**3 + 5*y + 11. Let r be (-8)/(-12)*-6*2. Let j be (-73)/(6205/(-1530)) - (1 + 12). Let b(u) = 2*u**3 + 8*u + 17. Calculate j*b(v) + r*a(v).
2*v**3 - 3
Let n(z) = 272*z + 7. Let t(b) = 1361*b + 35. What is 11*n(g) - 2*t(g)?
270*g + 7
Let x(d) = 6*d**2 + 7*d - 5. Let t(h) = 3*h + 44. Let v be t(-14). Let z(f) = 24*f**v + 0*f - 25*f**2 + 1 - f. Calculate -x(g) - 5*z(g).
-g**2 - 2*g
Let b(k) = -4*k**3 + 7421*k**2 - 7420*k**2 - 4*k**3. Let o(v) = -7*v**3 + v**2. Let f be ((-15)/(-3) - 2)/1. What is f*b(n) - 4*o(n)?
4*n**3 - n**2
Let y(d) = -6*d**3 - 5*d**2 - 17*d - 194. Let t(s) = 2*s**3 + 2*s**2 + 6*s + 65. Give -8*t(q) - 3*y(q).
2*q**3 - q**2 + 3*q + 62
Let b(w) = -w**3 - w**2 + w. Let r(v) = -2*v**3 - 5*v**2 + v - 1. Let t be 70/(-30) - 2/((-17)/((-68)/(-24))). Give t*b(j) + 2*r(j).
-2*j**3 - 8*j**2 - 2
Let o(l) = -l**2 - 9*l - 12. Let w be o(-7). Let v = -142 - -156. Let m(a) = 5*a**2 + 4*a - v*a**2 + 8*a**w. Let x(d) = -d. What is m(r) + 2*x(r)?
-r**2 + 2*r
Let p(o) = -8*o**3 - 77*o**2 - 11*o + 6. Let c(f) = -f**3 - 15*f**2 - 2*f + 1. Determine -11*c(d) + 2*p(d).
-5*d**3 + 11*d**2 + 1
Let a = 111 + -93. Let p(u) = u + 1. Let l be (6/(-18))/(15/45). Let i(g) = -3*g**2 + 18*g + 18. Determine a*p(y) + l*i(y).
3*y**2
Let l(c) = 2*c + 5. Let y(g) = 1. Let t(z) = l(z) - 6*y(z). Let x(i) = 39*i + 16. Let w(j) = -14*j - 6. Let n(v) = 11*w(v) + 4*x(v). Determine 2*n(b) - 3*t(b).
-2*b - 1
Let y(n) = -3*n - 11. Let p(w) = 2*w + 6. Let l(o) = -6*p(o) - 3*y(o). Let r(z) = 7*z + 5. Give 11*l(k) + 6*r(k).
9*k - 3
Let p(w) = 466*w**2 - 4*w + 23. Let a(x) = -117*x**2 + x - 6. Determine 23*a(m) + 6*p(m).
105*m**2 - m
Let f(w) = -15*w**3 + 6*w**2 - 2*w + 6. Let g(p) = 5 - 7*p + 15*p - 15*p**3 - 10*p + 29*p**2 - 55*p**2 + 31*p**2. Calculate 5*f(v) - 6*g(v).
15*v**3 + 2*v
Let t(x) = -2*x**2 - 2*x + 2. Suppose 6 = 5*u - 19. Let n(h) = -3*h - 7*h**2 - 4*h - 472*h**3 + 2 + 473*h**3 + u. What is -2*n(s) + 7*t(s)?
-2*s**3
Let r(x) = 44*x**2 + 22. Let k(y) = -3*y**2 - y - 2. Determine -2*k(f) - r(f).
-38*f**2 + 2*f - 18
Let g(w) = 4*w**3 + 4*w**2 + 12*w. Let a(q) = 6*q**3 + 9*q**2 + 22*q - 1. Calculate 3*a(b) - 5*g(b).
-2*b**3 + 7*b**2 + 6*b - 3
Suppose -36*f + 10185 = -15*f. Let n(v) = -f - v + 973 - 488. Let q(m) = 5*m. Calculate 2*n(o) + q(o).
3*o
Let l(d) = 1045*d**2 + 1331*d + 352. Let w(x) = 36*x**2 + 46*x + 12. Determine 3*l(q) - 88*w(q).
-33*q**2 - 55*q
Let m(z) = -112*z**3 - 4*z - 3. Let f(d) = d**3 - 2*d - 2. What is 2*f(t) - m(t)?
114*t**3 - 1
Let v(y) = -56*y + 28. Suppose 284 - 1320 = 43*a - 6*a. Let r(h) = -h + 1. Determine a*r(g) + v(g).
-28*g
Let o(l) = -2*l**2 - l + 2. Let j(t) = -t**3 - 3*t**2 - 148*t - 617. Let i be j(-4). Let p(w) = 8*w**2 + 3*w - 9. What is i*o(k) - 2*p(k)?
2*k**2 + 3*k
Let l(v) be the third derivative of -v**4/3 + v**3/6 + v**2 + 12. Let w(n) = -9*n + 1. Calculate -4*l(b) + 3*w(b).
5*b - 1
Let o(g) = 2*g. Let n(y) = -21*y - 2. Let x(q) = 31*q + 3. Suppose 0 = -5*z - 88 + 53. Let t(h) = z*n(h) - 5*x(h). Determine 9*o(a) + 2*t(a).
2*a - 2
Let t(f) = -f**3 + 7*f**2 - 7*f - 47. Let a(v) = -6*v**2 + 6*v + 48. Calculate -7*a(d) - 6*t(d).
6*d**3 - 54
Let j(q) = -q**3 - 2*q**2 - 2*q + 1. Let y(r) = 12*r**3 - 10*r**2 + 17*r - 11. Let n(b) = 6*j(b) + y(b). Let i(z) = z**3 - z**2 + z - 1. Give -5*i(h) + n(h).
h**3 - 17*h**2
Let w(p) = 105*p**3. Let b(v) = -9*v**3 + 191*v**2 - 4*v**3 - 191*v**2 - 6*v**3. What is 28*b(a) + 5*w(a)?
-7*a**3
Let r(z) = -214*z - 1291*z - 8*z. Let u(a) = 36*a. What is -2*r(j) - 85*u(j)?
-34*j
Let l(x) = -13*x**2 - 28*x - 28. Let b(k) = -10*k**2 - 32*k - 30. Calculate -4*b(i) + 3*l(i).
i**2 + 44*i + 36
Let f(v) = -12*v + 3. Let x(h) = -119*h - 29. Determine -4*f(r) - x(r).
167*r + 17
Suppose -14*u + 47 = 94 + 23. Let v(d) = 13*d + 5. Let p(f) = -12*f - 4. Let m(t) = -5*p(t) - 4*v(t). Let j(h) = 4*h. What is u*j(a) + 2*m(a)?
-4*a
Let v(q) = -5 - 1 + 5 - q + 0.