- 8. Determine 4*a(h) + 4*j(h).
-12*h**3 + 60*h**2
Let h(k) = k**3 + 5*k**2 + 6*k. Let s be h(-4). Let c(d) = 4*d**2 + d + 1. Let r(u) = -11*u**2 - 4*u - 4. Give s*c(z) - 3*r(z).
z**2 + 4*z + 4
Let s(i) = 4*i**2 - 4*i - 2. Suppose 4*v - 57 = 4*a - 93, 4*a - 3*v - 33 = 0. Let o(p) = -9*p**2 + 9*p + 4. What is a*o(k) + 14*s(k)?
2*k**2 - 2*k - 4
Let y(k) = 5*k + 352. Let g(l) = 10*l + 639. What is -6*g(d) + 11*y(d)?
-5*d + 38
Let p(u) = -u**2 - 2*u - 6. Let y(z) = -z**2 - z - 1. Let n(c) = -p(c) + 2*y(c). Let f(d) = 13 + d**3 + 5*d**2 - 28 - 2*d**2 + 2. What is 2*f(x) + 7*n(x)?
2*x**3 - x**2 + 2
Let p(h) = -56*h**2 + 53*h. Let u(d) = 55*d**2 - 77*d. Determine -3*p(f) - 2*u(f).
58*f**2 - 5*f
Let g(c) = c**2 - 8*c - 831. Let d be g(-25). Let a(v) = -32*v**3 + 6*v**2 + 17*v + 20. Let b(y) = 11*y**3 - 2*y**2 - 6*y - 7. Give d*a(n) - 17*b(n).
5*n**3 - 2*n**2 - 1
Let i(p) = -43*p + 1623. Let q be i(38). Let r(d) = -13*d + 35. Let f(a) = 7*a - 18. Calculate q*f(m) - 6*r(m).
m - 12
Let v(c) = -c**3 + 5*c**2. Let x = 383 - 141. Let a(l) = 7 + 118*l + 121*l - x*l + l**2. Let f be a(2). Let t(b) = -2*b**3 + 8*b**2. What is f*t(w) - 8*v(w)?
-2*w**3
Let y(t) = 6*t**3 + 11*t**2 + 1. Let n(x) = 18*x**3 + 36*x**2 + 2. Determine -3*n(g) + 8*y(g).
-6*g**3 - 20*g**2 + 2
Let z(x) = -x + 2. Let v be ((-582)/33)/2 - (-22)/(-121). Let g(u) be the second derivative of u**3/2 - 9*u**2/2 - 3*u. Calculate v*z(n) - 2*g(n).
3*n
Let a(b) = -14*b**3 + 2*b**2 + 3*b + 17. Let y(w) = 0*w**3 + 1082*w**2 - w**3 + 6*w**3 - 1083*w**2 - w - 6. Determine -6*a(c) - 17*y(c).
-c**3 + 5*c**2 - c
Let i(b) = -1375*b - 88. Let z(m) = 2748*m + 147. Give 5*i(c) + 3*z(c).
1369*c + 1
Let u(k) = -k**2 + k - 1. Let c(r) = -3*r**2 + 5*r - 5. Let a(v) = c(v) - 2*u(v). Let z = -1204 + 1207. Let x(b) = -2*b**2 + 5*b - 5. Give z*x(f) - 5*a(f).
-f**2
Let h(g) = -6*g**2 + 2*g - 1. Let l(p) = -30*p**2 + 10*p - 5. Let x be -4*-2*17/68. What is x*l(m) - 11*h(m)?
6*m**2 - 2*m + 1
Let p(n) = 2*n**3 - 3*n**2 - n - 5. Let q be 3/6 - 42/(-28). Let m(d) = 167*d**2 - 1 - d - 171*d**q - 5 + 2*d**3. Determine -5*m(f) + 6*p(f).
2*f**3 + 2*f**2 - f
Let j(r) = -313*r**2 - 20*r + 117. Let a(x) = 157*x**2 + 11*x - 64. Calculate 11*a(v) + 6*j(v).
-151*v**2 + v - 2
Let c(m) = 137*m**2 + 31*m - 34. Let l(a) = 26*a**2 + 6*a - 7. Determine -3*c(g) + 16*l(g).
5*g**2 + 3*g - 10
Let a(i) = i**2 - 2*i + 1. Let m(s) = -9*s**3 + 295*s**2 - 16*s + 8. Calculate -8*a(q) + m(q).
-9*q**3 + 287*q**2
Let y(m) = 14*m**2 - 6*m - 151. Let p(k) = -81*k**2 + 35*k + 907. What is -4*p(u) - 23*y(u)?
2*u**2 - 2*u - 155
Let r(l) = l**2 - 4*l + 26. Let d(i) = 11*i**2 - 40*i + 275. Let p(m) = 2*d(m) - 21*r(m). Let h(g) = -g**2 - g - 1. What is -2*h(k) - p(k)?
k**2 - 2*k - 2
Let g(z) = 37*z**2. Let r(n) = -3*n**3 - 2*n. Calculate g(k) + r(k).
-3*k**3 + 37*k**2 - 2*k
Let a(b) = -b - 3. Let s(g) = g + 3. Let r(w) = -7*w**2 + 44*w. Let f be r(6). Let p be 2*-5*f/(-40). Give p*a(c) + 4*s(c).
c + 3
Let o(v) be the second derivative of v**4/12 - 3*v**2 + 2807*v - 1. Let w(b) = -b**2 + 11. Let m be (-1)/(12/27)*4. Let a = -3 - m. Calculate a*w(i) + 11*o(i).
5*i**2
Let u(v) = -2*v - 5. Let a(l) = -2704 - 16*l + 6*l + 2680. Let b(r) = -9*r - 22. Let s(o) = -4*a(o) + 5*b(o). Determine -3*s(n) + 8*u(n).
-n + 2
Suppose -5*y - 2*u = 39, -4*y - 3*u + 2*u = 30. Let i(t) = 48. Let x(r) = r + 103. Let m(v) = -13*i(v) + 6*x(v). Let k(j) = 5*j - 5. Give y*k(a) + 6*m(a).
a - 1
Let i(j) = j**2 - 7*j**3 + 3*j**2 - 23*j + 40*j - 1 - 15*j + 12*j**3. Let o(a) = 9*a**3 + 9*a**2 + 5*a - 3. Give 5*i(d) - 2*o(d).
7*d**3 + 2*d**2 + 1
Let h(o) = -33*o - 3. Let v(a) = 113*a + 6. Let q(z) = 76*z + 4. Let l(w) = -7*q(w) + 5*v(w). Calculate 2*h(d) + 3*l(d).
33*d
Let p(i) = 2*i**3 + 6*i**2 - 4. Let u(a) = a**2. Suppose 4*n + 5*z = -49, -58 + 48 = 2*z. What is n*u(l) + p(l)?
2*l**3 - 4
Let d(p) = p + 2. Let i(o) = -13*o**2 + 12*o + 12. What is 8*d(b) - i(b)?
13*b**2 - 4*b + 4
Suppose 5*z = -2*l - 22, -4*z - 674*l - 2 = -675*l. Let q(s) = 22*s**3 + 7*s**2 + 21. Let c(w) = -7*w**3 - 2*w**2 - 7. Give z*q(x) - 7*c(x).
5*x**3 + 7
Let k(j) = 5*j - 2*j + 12 + 12 - 12*j - 17. Let x(q) = 2*q - 152 + 0*q + q + 150. What is -2*k(p) - 7*x(p)?
-3*p
Let f(j) = -2*j**2 + 5*j - 31. Let y(h) be the second derivative of -h**3/6 - h**2/2 + 41*h + 59. Determine f(z) + 3*y(z).
-2*z**2 + 2*z - 34
Let m(a) = 615*a - 2. Let y(h) = -4*h. Give m(t) + 4*y(t).
599*t - 2
Let b be 1*(3/(-7) + 670/469). Let s(d) = -d**2 - 2*d + 1. Let v(p) = p + 1. What is b*s(j) - 2*v(j)?
-j**2 - 4*j - 1
Let h(s) = -s**3 + 12*s**2 - 3*s - 1. Let d = -19463 - -19458. Let q(k) = 2*k**3 - 18*k**2 + 5*k + 2. Calculate d*q(t) - 8*h(t).
-2*t**3 - 6*t**2 - t - 2
Let o(v) = -9*v**2 + 3*v - 4. Let x = 1600 - 1594. Let l(p) = -10*p**2 + 4*p - 5. Determine x*o(q) - 5*l(q).
-4*q**2 - 2*q + 1
Let l be ((-9 - (-171)/27) + (-17)/(-12))*-4. Let i(p) = -21*p**3 + 6*p**2 + 1. Let r(g) = 14*g**3 - 4*g**2 - 1. Determine l*i(n) + 7*r(n).
-7*n**3 + 2*n**2 - 2
Let l(p) = 1. Suppose 463 = -7*c + 2143. Let g = 216 - c. Let q(s) = 4*s - 24. Calculate g*l(u) - q(u).
-4*u
Let v(l) = -12*l**2 + 14*l + 65. Let t(b) = -11*b**2 + 12*b + 64. Give -7*t(g) + 6*v(g).
5*g**2 - 58
Let o(k) = 81*k**3 - 1517 + 7*k + 760 + 762 - 7*k. Let t(u) = -121*u**3 - 7. What is -7*o(l) - 5*t(l)?
38*l**3
Let u(b) = -5*b**3 - b**2 + b + 1. Let g(d) be the third derivative of -1/24*d**4 + 0 + 1/120*d**6 + 1/60*d**5 + 0*d + 140*d**2 + 0*d**3. What is -g(m) - u(m)?
4*m**3 - 1
Let x(v) = 5 - 4 - 3 + 6 - 3. Suppose 9 - 29 = -2*s. Let z(i) = -i - 3 - 1 + 2*i**2 + s. Calculate 6*x(l) - z(l).
-2*l**2 + l
Let x(c) be the second derivative of c**3/6 - c**2/2 + 4943*c. Let v(u) = -3. Determine -v(p) - 2*x(p).
-2*p + 5
Let f(k) = -5*k**2 + 2*k - 4. Suppose 0 = 3*g + 2*g + 10. Let x = -69 + 71. Let t(y) = -7*y - 2 + 5 + 16*y**x + 10. Give g*t(d) - 7*f(d).
3*d**2 + 2
Let a(v) be the second derivative of v**4/12 + v**3/2 + 3*v**2/2 - 2*v + 412. Let s(x) = x + 1. What is -a(q) + 3*s(q)?
-q**2
Let g(h) = 3*h**3 - 4*h - 1913*h**2 - 6 + 3832*h**2 - 1912*h**2 - 3*h + 13. Let b(r) = -2*r**3 - 3*r**2 + 3*r - 3. Calculate -14*b(t) - 6*g(t).
10*t**3
Let f(q) = 28*q**3 - 100*q**2 - 16*q + 3. Let p(w) = 19*w**3 - 67*w**2 - 10*w + 2. Give -5*f(h) + 8*p(h).
12*h**3 - 36*h**2 + 1
Let j(d) = -52*d**2 - 6*d - 41. Let c(z) = 53*z**2 + 4*z + 28. Calculate 6*c(q) + 4*j(q).
110*q**2 + 4
Let w(h) = -7*h**2 + 31*h - 21*h - 10*h. Suppose -7*z + 4 - 32 = 0. Let o(j) = 15*j**2. Give z*o(m) - 7*w(m).
-11*m**2
Let w(p) = 1. Let h(n) = 10*n - 4. Let q be h(-4). Let g = q + 40. Let a(z) = z**3 - 9. Determine g*a(u) - 36*w(u).
-4*u**3
Let j(s) = -s - 1. Let b(y) = y**2 + 10*y + 0*y**2 + 10 + y**2. Suppose 2*q - 3*q + 20 = 0. Let z = -32406 + 32408. Calculate q*j(p) + z*b(p).
4*p**2
Let u(h) be the first derivative of -4*h**2 - 6*h + 860. Let q(c) = 8*c + 5. Determine -3*q(p) - 2*u(p).
-8*p - 3
Let d(p) = 21*p**3 - 12*p + 33. Let b(i) = 3*i**3 - 2*i. What is -6*b(o) + d(o)?
3*o**3 + 33
Suppose -3*n = -3, -2*t = -3*n - 43 + 34. Let q(s) = -1. Let i(y) = 6*y**2 + 10. Determine t*i(f) + 60*q(f).
36*f**2
Let z be (2 - 0)*(-3)/(-2). Let s(u) = 5*u**3 + u**2. Let n(b) = -6*b**3 - 2*b**2. Suppose -2*p + 20 = -192. Suppose -p + 74 = -8*v. Give v*s(w) + z*n(w).
2*w**3 - 2*w**2
Let t(c) = -15*c**3 + 6*c**2 + 2*c - 51. Let z(q) = 9*q**3 - 4*q**2 - q + 34. Calculate -5*t(u) - 8*z(u).
3*u**3 + 2*u**2 - 2*u - 17
Let r(a) = 3*a + 4. Let p(v) be the third derivative of -v**4/12 - v**3/3 + 3*v**2 + 5*v - 2. Calculate -10*p(w) - 6*r(w).
2*w - 4
Let j(c) = -3*c**3 - 4*c**2 - c + 13. Let i(g) = -4*g**3 - 5*g**2 - 4*g + 12. Determine -2*i(q) + 3*j(q).
-q**3 - 2*q**2 + 5*q + 15
Let q(j) = 15. Let x(f) = 1208*f - 49830. Determine -13288*q(b) - 4*x(b).
-4832*b
Let r(x) = 24*x**3 + 25*x**2 - 27. Let j(k) = -48*k**3 - 52*k**2 + 45. Give -3*j(g) - 5*r(g).
24*g**3 + 31*g**2
Let w = 66703 + -66704. Let o be (2/(-4))/(2/112). Let t(u) = -u. Let m(v) = 35*v. Give o*t(p) + w*m(p).
-7*p
Let c(t) = 51*t**2 + 3*t - 8. Let j(z) = 122*z**2 + 7*z - 20. Let g(d) = -12*c(d) + 5*j(d). Let b(s) = -5*s**2 - 3*s - 12. Determine -4*b(m) + 11*g(m).
-2*m**2 + m + 4
Let z(b) = 91*b - 76. Let k(q) = -127*q + 77. Determine -2*k(m) - 3*z(m).
-19*m + 74
Let d(r) = 127*r**3 - 35*