c. Let a(n) = 2*n**3 - 7*n**2 - 6*n. Calculate -5*a(f) - 6*p(f).
2*f**3 - 7*f**2
Let c(f) = -f**2 + f - 1. Let g(b) = -2*b**2 + 5*b - 3. Let d(y) = 5*c(y) - g(y). Let t(k) = -k**2. Calculate -d(q) + t(q).
2*q**2 + 2
Let d(u) = -2*u**3 - 2*u**2 - 2*u - 3. Let z(r) = 8*r**3 + 8*r**2 + 9*r + 12. Give -9*d(t) - 2*z(t).
2*t**3 + 2*t**2 + 3
Let x(m) = 16*m - 2 - 4 - 15*m. Let d(n) = n - 1. Determine 3*d(o) - x(o).
2*o + 3
Let c(d) = -4*d**3 - 4*d**2 - d. Let p(w) = 5*w**3 + 3*w**2 + 2*w. Determine 4*c(s) + 3*p(s).
-s**3 - 7*s**2 + 2*s
Let q(z) = z. Let x(l) = 6*l. Let r(n) = -11*q(n) + 2*x(n). Let y(k) = 3*k - 4. Determine -5*r(m) + y(m).
-2*m - 4
Let f(m) = m**3 - 5*m**2 - 5*m - 2. Let p be f(6). Let b(u) = -u - 1. Let c(w) be the second derivative of -w**3 - 3*w**2 - 2*w. What is p*b(o) - c(o)?
2*o + 2
Let w(h) = -2*h**2 + 5*h + 7. Let n(i) = 5*i**2 - 11*i - 13. Give 4*n(r) + 9*w(r).
2*r**2 + r + 11
Let d(r) = -8*r**3 - 3*r**2 - 3*r - 3. Let s(q) = -15*q**3 - 7*q**2 - 7*q - 7. Calculate 7*d(y) - 3*s(y).
-11*y**3
Let r(z) = -41*z - 4. Let l(u) = -20*u - 2. Give 7*l(v) - 3*r(v).
-17*v - 2
Let x(n) = -4*n**3 + n**2 - n + 2. Let l(p) = 5*p**3 - 2*p**2 + 2*p - 3. Determine -2*l(d) - 3*x(d).
2*d**3 + d**2 - d
Let a(w) = -7*w**3 - 5*w**2 + 5*w + 5. Let q(g) = 3*g**3 + 2*g**2 - 2*g - 2. Suppose 9*m = 11*m + 8. Calculate m*a(c) - 10*q(c).
-2*c**3
Let w(v) = 4*v**2 - 6*v - 3. Let b be (-10 + 9)*12/(-2). Let x(c) = -3*c**2 + 5*c + 3. Calculate b*x(s) + 5*w(s).
2*s**2 + 3
Let v(s) = s**2 - s. Let o(a) = 3*a**3 + 0 + 3*a - 2*a**3 - a**2 - 2*a**3 - 2. Give o(k) + 3*v(k).
-k**3 + 2*k**2 - 2
Let i(f) = f**2 + 2*f - 9. Let v(j) = 3*j**2 + 5*j - 19. Determine 5*i(s) - 2*v(s).
-s**2 - 7
Let c be ((-14)/2)/((-3 - -5)/(-2)). Let s(v) = 9*v**3 + 11*v**2 + 4*v. Let i(t) = 13*t**3 + 16*t**2 + 6*t. Calculate c*s(o) - 5*i(o).
-2*o**3 - 3*o**2 - 2*o
Let j(d) = -20*d**3 - 4*d**2. Let o(c) = -99*c**3 - 21*c**2. Determine -21*j(v) + 4*o(v).
24*v**3
Let n = -1 - 6. Let d(z) = z**2 - 4*z - 2. Let h(u) = u**2 - 5*u - 2. Suppose 4*y = -1 + 25. Calculate n*d(o) + y*h(o).
-o**2 - 2*o + 2
Let n(t) = 174*t**3 + 7*t**2. Let z(j) = -58*j**3 - 2*j**2. Determine 2*n(q) + 7*z(q).
-58*q**3
Let x(k) = -5. Let l(n) = -n - 26. What is -2*l(f) + 11*x(f)?
2*f - 3
Let g(s) = 1. Suppose 3*d = -3, 2*i + 2*d = -4 + 6. Let w(u) = 13*u**i + u**3 - 13*u**2 - 2. What is 3*g(y) + w(y)?
y**3 + 1
Let j(b) = 54*b**3 + 45*b**2 + 45*b - 45. Let d(w) = -w**3 - w**2 - w + 1. Determine -45*d(h) - j(h).
-9*h**3
Let z(i) = 9*i + 11. Let w(p) = -4*p - 5. Suppose r - 4*v - 9 = 0, -4*r + 2*v - 7*v = 48. Determine r*w(t) - 3*z(t).
t + 2
Let n(x) = -15*x**2 + 2*x + 10. Let u(s) = 15*s**2 - 2*s - 11. Let r(k) = 4*n(k) + 3*u(k). Let q(i) = 7*i**2 - i - 3. Determine -7*q(w) - 3*r(w).
-4*w**2 + w
Let j be (-6)/(-10)*25/15. Suppose 4*d - 4*y = 24, -y = 2*d - 2 - 10. Let a be j/d + 76/(-24). Let l(g) = 2. Let k(z) = -z + 3. Give a*l(p) + 2*k(p).
-2*p
Let k(x) = -3*x - 3. Let v(q) = -2*q + q - 7 + 6. Determine 2*k(g) - 4*v(g).
-2*g - 2
Let o(m) = -32*m**3 - 5*m**2 + 5*m + 5. Let u(k) = 16*k**3 + 3*k**2 - 3*k - 3. What is -3*o(t) - 5*u(t)?
16*t**3
Let i(b) be the first derivative of 2 + 1/2*b**2 + b + 1/3*b**3. Let j(p) = -3*p**2 - 5*p - 6. What is -4*i(v) - j(v)?
-v**2 + v + 2
Let x(u) be the first derivative of 8*u**3/3 + 6*u + 2. Let y = 519 - 513. Let v(s) = -9*s**2 - 7. What is y*v(g) + 7*x(g)?
2*g**2
Let g = -29 + 28. Let j(o) be the first derivative of -o**3/3 + o - 1. Let h(u) = 2*u**2 - 1. What is g*j(d) - h(d)?
-d**2
Let v(w) = -17*w. Let q(s) = s + 1. Calculate -2*q(f) - 2*v(f).
32*f - 2
Let j(m) = -4*m - 13. Suppose -4*n = -0*n. Suppose n*d = -2*d - 8. Let b(r) = -2*r - 6. Determine d*j(x) + 9*b(x).
-2*x - 2
Let f(o) = 7*o - 3. Let x(v) be the second derivative of 4*v**3/3 - 2*v**2 + 9*v. Give -5*f(q) + 4*x(q).
-3*q - 1
Let x(l) = -1. Let b(j) = 13*j + 2. Let y(w) = 6*w + 1. Let z(h) = 2*b(h) - 5*y(h). What is -2*x(f) + z(f)?
-4*f + 1
Suppose -2*k - 2*b + 18 = 0, 14 + 8 = 2*k + 3*b. Let j(x) = -9*x**2 + 4*x + 5. Let g(p) = 5*p**2 - 2*p - 3. Give k*g(i) + 3*j(i).
-2*i**2 + 2*i
Let n(t) = 13*t - 2. Let i(p) = -416*p + 65. Give -2*i(z) - 65*n(z).
-13*z
Let p(m) = 5*m + 3. Let g be (0 - (0 + 1)) + -2. Let a(l) = -5*l - 2*l + 16 - 6*l + 39*l. Give g*a(b) + 16*p(b).
2*b
Let q(a) = -2*a**2 - 7*a + 1. Let r(h) = -5*h**2 - 22*h + 4. Determine 7*q(x) - 2*r(x).
-4*x**2 - 5*x - 1
Let z(p) = 3*p - 56. Let v(b) = -b + 28. Determine 5*v(a) + 2*z(a).
a + 28
Let o(m) = -4*m + 2. Let p(h) = -h - 1. Let s(x) = 16*x - 3. Let j(q) = -4*p(q) - s(q). What is 2*j(y) - 7*o(y)?
4*y
Let p(t) = -5*t**3 + 4*t**2 + 5. Let g(n) = 3 - 9 + 0 + 5*n**3 + n**3 - 5*n**2. Give 4*g(v) + 5*p(v).
-v**3 + 1
Let v(d) = -4*d**3 + 3*d. Let r = -82 - -88. Suppose 0 = 3*y - 8*y + 130. Let k(f) = 17*f**3 - 13*f. Give r*k(w) + y*v(w).
-2*w**3
Let y(m) = -m**2 + m. Suppose 4*k - 124 = 84. Let s be (-2)/(-10) + k/(-10). Let l(z) = -z**3 + 5*z**2 - 5*z. Determine s*y(v) - l(v).
v**3
Let q(s) = 2*s**3 - 11*s - 6. Suppose -4 + 16 = 3*v. Let a(o) = -11 + 17 - 8 - v*o + o**3. Determine -8*a(w) + 3*q(w).
-2*w**3 - w - 2
Let u(t) = -t. Let a(p) = p - 1779 + 1779. Calculate -5*a(c) - 6*u(c).
c
Let k(w) = -4 - w**3 + 9 + 0*w**2 + 7*w**3 - 5*w + 5*w**2. Let u(y) = -5*y**3 - 4*y**2 + 4*y - 4. Let r = -14 - -34. Suppose r = 4*m - 0. Give m*u(v) + 4*k(v).
-v**3
Let o = -515 - -520. Let y(m) be the second derivative of -m**5/10 + 5*m**4/12 - m**3/3 - m. Let l(w) = -w**2. Determine o*l(t) + y(t).
-2*t**3 - 2*t
Let w(h) be the third derivative of h**5/12 + h**4/6 + h**3/3 + 2*h**2 - 25*h. Let r(p) = 4*p**2 + 3*p + 1. Determine -4*r(g) + 3*w(g).
-g**2 + 2
Let g(s) = 3*s - 69. Let y(j) = -4*j + 103. Calculate 7*g(f) + 5*y(f).
f + 32
Let m(l) = 5*l**2 - 5*l - 3. Let b(n) = 9*n**2 - 9*n - 5. What is -3*b(r) + 5*m(r)?
-2*r**2 + 2*r
Let f(x) = 2*x**2 + 3*x. Let i(u) = -17*u**2 - 14*u - 7. Let l(o) = -8*o**2 - 7*o - 3. Let a(r) = -3*i(r) + 7*l(r). What is -6*a(t) - 14*f(t)?
2*t**2
Let q(r) = -r**2 - r + 1. Let h(c) = 42*c**2 + 6*c - 6. What is -3*h(p) - 18*q(p)?
-108*p**2
Let c(a) = -a**3 + 4*a**2 - 3*a. Let q be c(2). Let u = 0 + q. Let k(o) = -o**2 - 3*o. Let t(y) = -2*y. Calculate u*k(r) - 3*t(r).
-2*r**2
Let x(c) = 3*c**3 - 5*c**2 - 5*c + 5. Let q(u) = 3*u**3 - 6*u**2 - 6*u + 6. Determine -5*q(f) + 6*x(f).
3*f**3
Let z(d) = d**2 + 4*d. Let t(p) = -p. Determine 2*t(k) + 2*z(k).
2*k**2 + 6*k
Let a(j) = -4*j - 3. Let g(c) = -3*c - 2. Let f be ((-6)/(-4) - 2)*10. Calculate f*a(k) + 7*g(k).
-k + 1
Let l(k) = -11*k**3 - 5*k**2 - 5. Let t(j) = -6*j**3 - 3*j**2 - 3. Let d(g) = g**3 + 10*g**2 + 9*g - 5. Let i be d(-9). Determine i*t(u) + 3*l(u).
-3*u**3
Let y(a) = -a**2 - 3. Let k(i) = -2. Let g(u) = 1. Let o(v) = g(v) + k(v). Let n = -42 + 27. Let c be 5*(9/n)/(-3). Determine c*y(l) - 4*o(l).
-l**2 + 1
Let i(z) = -2*z**3 + 5*z**2 - 3*z - 1. Let t(k) = k + 2 + 4*k - 9*k**2 + 0*k + 4*k**3. Give -5*i(w) - 3*t(w).
-2*w**3 + 2*w**2 - 1
Let o(r) = -6*r**2 - 4*r. Suppose 15 = 7*x - 13. Let c = 1 - -6. Let n(u) = 11*u**2 + 7*u. Determine c*o(w) + x*n(w).
2*w**2
Let o(n) = 4*n. Let u(v) be the second derivative of -5*v**3/6 - v. Let c = 43 - 40. Calculate c*o(y) + 2*u(y).
2*y
Let a(k) = -8*k**2 + 3*k + 6. Let v(t) = -t**2 + t - 1. Let b(s) = 2*s**2 - 3*s + 4. Let z(r) = -b(r) - 3*v(r). Calculate -a(f) - 6*z(f).
2*f**2 - 3*f
Let l(q) = 6*q**2 - 2*q - 4*q**2 + 3*q**3 + 0*q**3 - 4*q**3. Let c(s) = s**2 - s. Suppose 3*z + 5*o = -37, 0*z + 4*z + 26 = -2*o. Determine z*c(n) + 2*l(n).
-2*n**3
Let b(c) = 54*c**2 + 48. Let k(i) = -i**2 - 1. Calculate 3*b(m) + 144*k(m).
18*m**2
Let y(t) = 9*t + 3. Let f(u) = u**3 + u**2 - 4. Let s be f(0). Let m be 0 - (-2 - -2 - 3). Suppose m*l - 10 - 11 = 0. Let w(k) = 5*k + 2. Give l*w(i) + s*y(i).
-i + 2
Suppose -2*r + 4 + 2 = 0. Let m(w) = -3*w**r - w**2 + 0*w + 1 + 4*w**3 + w. Let d(j) = j**3 + 2*j**2 - j - 3. Let x = -25 + 26. Calculate x*d(f) + m(f).
2*f**3 + f**2 - 2
Let u(n) = -1. Suppose 3*r - 5*o = r - 23, -17 = 2*r - 3*o. Let m(t) = t**2 - t. Let j(g) = 2*g**2 - 3*g - 3. Let l(a) = r*m(a) + j(a). Calculate l(s) - 4*u(s).
-2*s**2 + s + 1
Let u(b) = 5*b + 8*b**2 + 7*b - b. Let o(n) = 3*n**2 + 4*n. Suppose -2*q + 20 = 3*q. Give q*u(c) - 11*o(c).
-c**2
Let b be (