 6. Determine -6*a(y) + 5*v(y).
y + 18
Let n(b) = 2*b**2 - 7*b - 7. Let f(z) = z**2 - 2*z - 2. Let h = -727 + 344. Let u = h + 387. Give u*n(s) - 14*f(s).
-6*s**2
Let f(i) be the third derivative of -i**4/12 - 2*i**3/3 + 39*i**2 - 4*i. Let u(b) = -5*b - 8. Give 14*f(l) - 6*u(l).
2*l - 8
Let m(q) be the third derivative of -q**4/24 + q**3/6 - 5746*q**2. Let z(f) = -8*f**3 - 6*f + 6. Determine -6*m(s) + z(s).
-8*s**3
Let k(o) = 108*o + 9. Let g(l) = -8*l - 1. Let w(b) = 4*g(b) + k(b). Let m(p) = 19*p + 1. What is -9*m(a) + 2*w(a)?
-19*a + 1
Let v(f) = -2 + 336*f - 981*f + 334*f + 337*f. Let g(h) = -9*h + 1. What is 8*g(j) + 3*v(j)?
6*j + 2
Let t(c) = -158*c**3 + 27*c**2 - 102*c + 13. Let o(a) = 159*a**3 - 25*a**2 + 94*a - 12. Calculate 13*o(x) + 12*t(x).
171*x**3 - x**2 - 2*x
Let b(p) = -26*p - 85. Let v(c) = -20*c - 70. Let i(u) = -5*b(u) + 6*v(u). Let n(q) = -10*q - 6. Calculate 4*i(m) + 3*n(m).
10*m + 2
Let p(w) be the first derivative of w**3/3 + w**2/2 + 1128. Let h(v) = 10*v**2 + 5*v - 3. Calculate h(x) - 5*p(x).
5*x**2 - 3
Let f(a) = a + 1. Let k(v) = v**2 + 9*v + 8. Suppose 2*o + 9*o + 30*o - 41 = 0. Determine o*k(q) - 6*f(q).
q**2 + 3*q + 2
Let l(q) = 426*q - 138. Let y(i) = 2037*i - 690. Determine -24*l(w) + 5*y(w).
-39*w - 138
Let l(q) = 15*q**2 + 30*q + 16. Let m(w) = 2*w**2 - w + 2. Calculate 3*l(j) - 24*m(j).
-3*j**2 + 114*j
Let g(q) = -3*q + 4. Let r(c) = -c + 1. Let m(j) = 11*j**3 + j**2 + 2*j + 1. Let y be m(-1). Let t = -1735 - -1739. Determine t*g(k) + y*r(k).
-k + 5
Let a(z) = 39*z**2 - 2*z - 6. Let u(v) = -201*v**2 + 9*v + 32. Calculate 11*a(j) + 2*u(j).
27*j**2 - 4*j - 2
Let h(n) = -5*n + 6. Let f(d) = -4*d + 7. Let x = -498 - -495. What is x*h(b) + 4*f(b)?
-b + 10
Let z(r) = r. Let w(j) be the third derivative of -7*j**4/24 - j**3/3 + 6*j**2. Suppose 17*x + 11 = 28*x. Determine x*w(m) + 6*z(m).
-m - 2
Let o(a) = -4590088*a**2 - 5*a + 4590087*a**2 + 2 - 2 + 4*a. Let m(g) = -4*g**3 - 6*g**2 - 4*g. What is m(i) - 5*o(i)?
-4*i**3 - i**2 + i
Let z(h) = -22*h - 6. Suppose 0 = -3*u - 3*b - 15 - 12, 5*u - 5*b = -5. Let l(w) = 21*w + 5. Give u*z(i) - 6*l(i).
-16*i
Let j(s) = s - 1. Let c(w) be the second derivative of 20*w**3/3 - 3*w**2/2 + 26*w - 41. What is -c(f) + 3*j(f)?
-37*f
Let j(z) = z**2 + 15. Let u = -499 - -492. Let p(f) = -f**2 - 15. Determine u*j(i) - 6*p(i).
-i**2 - 15
Let x(n) = -119*n - 37. Let j(r) = 112*r + 37. Calculate -9*j(h) - 8*x(h).
-56*h - 37
Let m(x) = x + 2. Let q(s) = -1853*s**2 - 12971*s - 25942. Determine 25942*m(p) + 2*q(p).
-3706*p**2
Let c(w) = 287*w**2 - 49*w. Let s(r) be the first derivative of -4*r**3 + r**2 - 1316. What is -4*c(o) - 98*s(o)?
28*o**2
Let o(x) = 1200*x + 45. Let z(t) = 1282799*t + 48120. What is -3208*o(m) + 3*z(m)?
-1203*m
Let b(u) = 3*u + 4. Let z(d) = -2*d - 5. Let p(o) = -5*b(o) - 4*z(o). Let w = 14632 - 14627. Let t(i) = -13*i. Give w*p(s) - 2*t(s).
-9*s
Let i(l) = 3*l**3 + l**2 - l. Let v(s) = -16*s**3 - 28*s**2 + 3*s - 6. What is 5*i(n) + v(n)?
-n**3 - 23*n**2 - 2*n - 6
Let o(h) = -140*h**2 - 85*h + 85. Let f(k) = 2*k**2 - 26*k - 841. Let n be f(-14). Let x(w) = 4*w - 10*w**2 - 6*w - 4*w + 6. Give n*x(p) + 6*o(p).
10*p**2
Let y(t) = -6929*t**2 + 15717*t + 5239. Let j(b) = -2*b**2 + 3*b + 1. Calculate -20956*j(f) + 4*y(f).
14196*f**2
Let r(q) = 158*q. Let k(j) = 105*j + 2. Let d(u) = 8*k(u) - 5*r(u). Let s(n) = 10*n + 3. What is 2*d(o) - 11*s(o)?
-10*o - 1
Let a(q) = 5*q**3 + 6*q**2 - 7*q + 32. Let f(g) = -9*g**3 - 11*g**2 + 13*g - 63. Give 11*a(l) + 6*f(l).
l**3 + l - 26
Let o(y) = 10521*y - 12. Let i(b) = -73640*b + 89. Determine 2*i(x) + 15*o(x).
10535*x - 2
Let k(d) = -2*d + 4. Let o(s) = -128*s + 7. Let x(l) = 86*l - 6. Let w(f) = 2*o(f) + 3*x(f). Calculate -5*k(n) - 6*w(n).
-2*n + 4
Let x(t) = -2*t**2 - 2*t. Suppose g - 14 = -3*k, -18*g + 21*g + 36 = 4*k. Let u(l) = -4*l**2 - 4*l + 1. Determine k*u(m) - 11*x(m).
-2*m**2 - 2*m + 6
Let h(q) be the third derivative of 13*q**6/120 + q**5/15 + q**4/24 - 3*q**2. Let u(t) = -57*t**3 + t**2 + 66*t**3 - 6*t**3. Calculate -2*h(i) + 9*u(i).
i**3 + i**2 - 2*i
Let d(f) = -4*f**2 - 3*f - 1. Let s(g) = 9*g**2 - g + 3. Let v(w) = -2*w. Let r(z) = s(z) - 4*v(z). Let j be (-1 + (-4)/3)*3. Give j*d(x) - 3*r(x).
x**2 - 2
Let z(m) be the third derivative of -m**3/6 + 2*m**2 + 172. Let h(d) = 3*d + 8 - 17 - 2*d - 4*d. Give h(w) - 6*z(w).
-3*w - 3
Let s(z) = 4*z**2 + 101*z - 26. Let q(c) = 4*c**2 + 103*c - 21. What is -5*q(b) + 4*s(b)?
-4*b**2 - 111*b + 1
Let a(h) = 17*h**2 + 5*h - 1. Let l(j) = 2*j**2 + 0*j - 8*j + 18*j**2 + 7*j - 24*j**2. Determine 2*a(n) + 9*l(n).
-2*n**2 + n - 2
Let x(y) = -y + 5. Let b(g) = 2*g**2 + 2*g + 658. What is -b(i) - 2*x(i)?
-2*i**2 - 668
Let o(r) = -4*r**2 - 4*r - 1. Let s(z) = -2296*z**2 + 492*z + 123. Give -984*o(x) - 8*s(x).
22304*x**2
Let c(p) = p - 1. Let y = -34 - -36. Suppose -y*u + 376 = 132. Let s(f) = -125 + f + 0*f + u. Give 3*c(b) - s(b).
2*b
Suppose 2*u = 1 - 7. Let n(m) = -20. Let v(y) = y + 12. Let p(k) = 2*n(k) + 3*v(k). Let q(x) = 6*x - 7. What is u*q(b) + 5*p(b)?
-3*b + 1
Suppose -5405 = -673*k + 696*k. Let c(m) = 44*m - 3. Let j(z) = -3431*z + 235. Determine k*c(b) - 3*j(b).
-47*b
Let m = -5 - -8. Let j(y) = 8*y**3 - y**3 + 8*y**2 + 2*y**m - 3. Let r(w) = 8*w**3 + 7*w**2 - 3. Suppose 26*o = 223 - 41. Determine o*r(n) - 6*j(n).
2*n**3 + n**2 - 3
Let f(a) = -8*a - 5. Let l(q) = -4*q - 3. Let z = -25085 - -25090. Calculate z*l(o) - 2*f(o).
-4*o - 5
Let r(t) = -7*t + 13. Let j = 15 + -10. Let o(a) = -1700*a + 569*a + 565*a - 7 + 570*a. Give j*o(n) + 3*r(n).
-n + 4
Let p(f) = -f**2 + 5*f - 4. Let v(t) = -8*t**2 - 219*t - 13. Determine -3*p(m) + v(m).
-5*m**2 - 234*m - 1
Let r(f) = 577. Let m(h) = 1250. Let w(s) = -6*m(s) + 13*r(s). Let c(p) = p**2 - 6. Give c(n) + 4*w(n).
n**2 - 2
Let k(v) = -4*v**3 + 2*v**2 - v + 2. Let j(s) = -21*s**3 - 7*s**2 - 7. Give j(b) + 3*k(b).
-33*b**3 - b**2 - 3*b - 1
Let p(z) = -2131*z + 3. Let a(o) = 8525*o - 13. Give 2*a(n) + 9*p(n).
-2129*n + 1
Let k(p) = 3*p**2 + 201*p - 24. Let s(c) = -4*c**2 - 203*c + 20. Determine 5*k(r) + 6*s(r).
-9*r**2 - 213*r
Let f(x) = 120*x**3 - 4*x**2 - x + 8. Let a(s) = -241*s**3 + 7*s**2 + s - 14. Determine 3*a(j) + 5*f(j).
-123*j**3 + j**2 - 2*j - 2
Let v(o) = -6*o**3 + 3*o - 4. Let t(c) = 11*c**3 - 5*c + 7. Let a(b) = 9*b**3 + 5*b**2 + 7*b + 6. Let w be a(-1). Give w*v(i) - 3*t(i).
-3*i**3 - 1
Let g(r) = 6*r**3 + 21*r**2 + 60*r + 21. Suppose 6*u + 105 = -3*p, -4*p = -49*u + 48*u + 77. Let d(w) = -w**3 - 4*w**2 - 12*w - 4. What is p*d(z) - 4*g(z)?
-3*z**3 + 12*z
Let j(z) = 713*z + 62. Let s(b) = 717*b + 46. Give 3*j(h) - 4*s(h).
-729*h + 2
Let r(v) = -49*v + 6. Let j(s) = 2*s**3 + 87*s**2 + 347*s - 113. Let q be j(-39). Let b(a) = 344*a - 43. Give q*r(c) + 6*b(c).
-43*c
Let i(q) = 56*q**3 + 1245*q**2. Let r(k) = -26*k**3 - 623*k**2. Calculate -6*i(f) - 13*r(f).
2*f**3 + 629*f**2
Let d(m) = 5022*m. Let v(s) = 6*s. Give -d(y) + 1116*v(y).
1674*y
Let g(s) = 7*s**2 - s + 8. Let w(d) = d**2 - 130 + 65 + 66 + 3*d. Let t(z) = z**2 + 2*z + 1. Let x(n) = -3*t(n) + 2*w(n). Determine -g(p) - 5*x(p).
-2*p**2 + p - 3
Let a(l) be the second derivative of l**5/5 + l**4/4 + l**3/2 + 3*l**2/2 + 293*l. Let v(k) = 5*k**3 + 3*k**2 + 4*k + 2. Determine 4*a(h) - 3*v(h).
h**3 + 3*h**2 + 6
Let w(h) = 4*h + 7. Suppose 11*j = 31 + 2. Let a(o) = -5*o - 7. Suppose 4*t = -19 + 35. Calculate j*a(k) + t*w(k).
k + 7
Let g(w) = 7*w**2 + 12*w - 3. Let v(t) = -20*t**2 - 35*t + 8. Let a(z) = -z**3 + 61*z**2 + 260*z - 11. Let f be a(65). Determine f*g(x) - 4*v(x).
3*x**2 + 8*x + 1
Let j = -19 - -17. Let w(v) = 7*v**2 + 4*v - 1. Let g(o) = -3*o**2 - 2*o + 1. What is j*w(d) - 5*g(d)?
d**2 + 2*d - 3
Let q(k) = -68*k**2 + 9. Let d(r) = 20*r**2 - 3*r - 2. Let x(n) = 19*n**2 - 2*n - 2. Let m(o) = -2*d(o) + 3*x(o). Determine 9*m(z) + 2*q(z).
17*z**2
Suppose 0 = -3*n + 5 + 10. Let j(s) = 6*s**3 - 6*s - 5. Let u(q) = 14*q - 6*q**3 + 99 - 48 - 9*q + 0*q**3 - 47. Determine n*j(w) + 6*u(w).
-6*w**3 - 1
Let b(p) = p**2 + 1. Let y(f) = f**3 + 26*f**2 - 28*f - 25. Let g be y(-27). Let r(t) = -t**g + 22 + 2*t**2 - 19. Let v = 18 - 12. Determine v*b(x) - 2*r(x).
4*x**2
Let w(u) = -u**3 - u**2 - u - 1. Let y = 285 - 286. Let q(j) = 2*j**2 + 18*j + 2. Calculate y*q(d) - 2*w(d).
2*d**3