- 13. Let y(f) be the second derivative of f**3/6 - 3*f**2 - 3*f. Determine -4*c(k) + 9*y(k).
k - 2
Let n(i) = -7*i**2 - 3*i - 5. Let d(t) = 4*t**2 + 4*t + 6. Let m(s) = 5*s**2 + 4*s + 6. Let j(p) = -3*d(p) + 4*m(p). Calculate 5*j(q) + 6*n(q).
-2*q**2 + 2*q
Suppose -p = -5, -4*k - 19 = -p - 2. Let s(z) = -2*z**3 + 2*z**2. Let d(i) = 2*i**3 - 3*i**2. Determine k*s(h) - 2*d(h).
2*h**3
Let d(o) be the second derivative of o + 0*o**2 - 1/2*o**3 + 0. Let q(g) = 4*g. Give -5*d(m) - 4*q(m).
-m
Let w(i) = -2*i**2 - 8*i + 8. Let g(v) be the second derivative of -v**4/6 - 7*v**3/6 + 7*v**2/2 + v. Calculate -7*g(y) + 6*w(y).
2*y**2 + y - 1
Suppose 0*b + 3*b + 27 = 0. Let a(n) = 13*n**3 - 2*n + 7. Let h(q) = 6*q**3 - q + 3. Give b*h(z) + 4*a(z).
-2*z**3 + z + 1
Let s(i) = -13*i - 2. Let k(m) = 209*m + 33. What is 2*k(o) + 33*s(o)?
-11*o
Let h(x) = 6*x**3 - 4*x. Let z(f) = f. Determine h(j) + 2*z(j).
6*j**3 - 2*j
Let p(u) = 6*u**2 - 21*u + 10. Let x be (1*-11)/(2/2). Let j(w) = 22*w**2 - 11*w**2 - 2 + 4*w - 12*w**2. Calculate x*j(r) - 2*p(r).
-r**2 - 2*r + 2
Let v(z) be the first derivative of -z + 1. Let d = 18 + -13. Let x(r) = -r + 7. What is d*v(u) + x(u)?
-u + 2
Let f(y) = -8*y + 6. Let i(v) = 14*v - 15. Let b(x) = 21*x - 22. Let n(p) = -5*b(p) + 7*i(p). What is -5*f(d) + 6*n(d)?
-2*d
Let r be (-15)/(-2)*(-4 - 30/(-9)). Let t(n) = -n + 1. Let i(d) = 12*d - 1. Let q(s) = -4*s. Let u(o) = -3*i(o) - 8*q(o). What is r*t(l) + u(l)?
l - 2
Let y(n) be the first derivative of -13*n**3/3 - 5*n**2/2 + 25. Let w(m) = 19*m**2 + 7*m. What is 5*w(q) + 7*y(q)?
4*q**2
Suppose -3*t + 25 = 1. Let i be 10/25 + 76/10. Let g = i - 11. Let r(j) = 14*j**2 + 14*j + 11. Let q(x) = 5*x**2 + 5*x + 4. What is g*r(o) + t*q(o)?
-2*o**2 - 2*o - 1
Let n(j) = j. Suppose 0 = x + 2 - 3. Suppose 0 = -0*p - p + x. Let l(a) = -4*a. Calculate p*l(f) + 5*n(f).
f
Let p(v) = v**2 - v + 3. Let l(h) = 2*h**2 - 2*h + 5. What is 3*l(f) - 5*p(f)?
f**2 - f
Let c(m) = -1. Let r(o) = 3*o. Calculate 4*c(n) + r(n).
3*n - 4
Let b(i) = 2*i - 5. Let n(h) = 1 - 8*h + 0*h + 3 + 6*h. Give -2*b(r) - 3*n(r).
2*r - 2
Let n(r) = 2*r**3 + 16*r**2 - 6*r + 7. Let h(m) = 4*m**3 + 33*m**2 - 13*m + 15. Give 6*h(c) - 13*n(c).
-2*c**3 - 10*c**2 - 1
Let p(z) = 11*z**3 - 5*z**2 - 4*z - 2. Let g(t) = t**3 - t**2 - t - 1. What is -4*g(a) + p(a)?
7*a**3 - a**2 + 2
Let i(y) = -y**3 - 2*y**2 - y - 3. Let d(h) = 4*h**3 + 7*h**2 + 4*h + 11. Calculate -6*d(t) - 22*i(t).
-2*t**3 + 2*t**2 - 2*t
Let s(c) = -5*c**2 - c - 5. Let t(g) = -14*g**2 - 3*g - 14. Let j(d) = -17*s(d) + 6*t(d). Let k(q) = 8*q**2 - 7*q + 7. Determine 21*j(v) - 3*k(v).
-3*v**2
Let r(j) = -7*j - 6. Let v(b) = -b**3 + 6*b**2 - 7. Let z be v(6). Let a(d) be the first derivative of 4*d**2 + 7*d + 2. Give z*r(l) - 6*a(l).
l
Let s(q) = -4*q**2 - 15*q + 9. Let w(n) = n**2 + 9*n + 16. Let r be w(-5). Let z(j) = -1 + 0 - 7*j - 2*j**2 + 5 + 0*j**2. Calculate r*s(b) + 9*z(b).
-2*b**2 - 3*b
Let l(s) be the second derivative of -s**4/2 - 5*s**3/6 + 3*s**2 - 14*s. Let g(c) = c**2 + c - 1. Calculate 5*g(u) + l(u).
-u**2 + 1
Let k(v) = v**2 + v - 1. Let j(b) = b**2 - 4*b + 7. Calculate j(o) + 4*k(o).
5*o**2 + 3
Let b(z) = -4*z + 3. Let w(x) = 1. Let f be ((1 - -4)/15)/((-1)/(-9)). Calculate f*w(n) - b(n).
4*n
Let o(w) = -5*w**2 - 3*w - 3. Let v(h) = h + 1. What is -o(b) - 3*v(b)?
5*b**2
Let i(n) = n. Let c(o) = -3*o - 1. Let k(r) = 2*c(r) + 7*i(r). Let y(d) = -d**3 - d**2 - 1. Give k(h) - 2*y(h).
2*h**3 + 2*h**2 + h
Let m(r) = 2*r**3 - 56*r**2 + 5*r + 5. Let u(d) = 2*d**3 - 57*d**2 + 6*d + 6. What is 6*m(s) - 5*u(s)?
2*s**3 - 51*s**2
Let y(l) = -l**3 - l**2 + l - 1. Let c(o) = -2*o**3 - 7*o**2 + 6*o - 6. Determine -c(j) + 6*y(j).
-4*j**3 + j**2
Let i(h) = -98*h**2 + 35*h + 35. Let y(n) = -11*n**2 + 4*n + 4. Give -4*i(a) + 35*y(a).
7*a**2
Let x(h) be the first derivative of 2*h**3 + 8*h + 20. Let n(r) = r**2 + 1. Determine -5*n(q) + x(q).
q**2 + 3
Let t(m) = 4*m**2 + 5*m. Let x(w) = w**2 + w. Calculate 6*t(o) - 30*x(o).
-6*o**2
Let l(x) = x**2 - 9*x - 1. Let h(c) = c**2 - 1. Calculate 3*h(p) - l(p).
2*p**2 + 9*p - 2
Let c(p) = 2*p**3 - 3*p**2 + 2*p. Let m(s) be the third derivative of -s**6/120 + s**5/30 - s**4/12 - 3*s**2. Let z be (-5)/3 - (-2)/(-6). Give z*c(l) - 3*m(l).
-l**3 + 2*l
Suppose 5*n + 5*z = -35, z = -2*n - 4*z - 26. Let j = 2 + -6. Let l(b) = 2*b**3 - 3*b**2 + 3. Let v(g) = -3*g**3 + 4*g**2 - 4. Give j*l(o) + n*v(o).
o**3
Let f(j) = -2*j - 8. Let b(l) = -4*l + 3. Let a be b(2). Let c(z) be the first derivative of z**2 + 7*z - 110. Calculate a*c(t) - 4*f(t).
-2*t - 3
Suppose -n - 11 + 3 = 0. Let h be n + 7/(7/2). Let t(m) = m**2 + 3*m. Let y(j) = -6*j**2 - 17*j. Calculate h*y(b) - 34*t(b).
2*b**2
Let u(x) = 5*x - 5. Let q(n) = n**2 - 14*n + 14. Give -4*q(j) - 11*u(j).
-4*j**2 + j - 1
Let x(v) = 3*v + 11. Let d(w) = 2*w - 4*w + 3*w + 4. Let q(j) = 8*d(j) - 3*x(j). Let o(k) = 2*k + 2. Let h = -8 + 5. Give h*o(l) - 4*q(l).
-2*l - 2
Let a(n) = n**2 + 2*n. Let c(g) = g**2 + 5*g - 1. Let v(y) = 5*a(y) - 2*c(y). Let z(h) = -h**2 - 1. Let b be 0 + -5 + 3/3. Give b*z(j) - 2*v(j).
-2*j**2
Let z(d) be the first derivative of d**2/2 + 4*d - 2. Let c(p) = 1. Let y = -115 + 114. Give y*z(w) + 3*c(w).
-w - 1
Let v(f) = -2*f + 2 + 4*f + 4*f - 3*f. Suppose -3*w = 4 - 19. Suppose 3*s = p - 4, -5*p = -w*s + 2*s + 4. Let k(r) = -r**2 - r. What is p*k(h) - v(h)?
2*h**2 - h - 2
Let p(b) = 49*b**3 - 9*b**2 - 2*b - 5. Let u(s) = 24*s**3 - 4*s**2 - s - 2. Determine -2*p(g) + 5*u(g).
22*g**3 - 2*g**2 - g
Let a = 21 + -15. Let c(y) be the third derivative of y**4/24 - y**3 - 2*y**2. Let j(w) = -w + 5. Determine a*c(m) + 7*j(m).
-m - 1
Let u(w) = 8*w**2 - 5*w + 14. Let r(t) = 5 + 8*t**2 - t**2 - t**2 - 2*t - 3*t**2. Suppose -4*o = 20 + 16. Let g = 2 - o. Calculate g*r(j) - 4*u(j).
j**2 - 2*j - 1
Let m(u) = -18*u**3 + u. Let j(z) = 36*z**3 - 2*z. Determine -2*j(b) - 5*m(b).
18*b**3 - b
Let i(k) = 26*k + 11. Let g(z) = 13*z + 6. What is -11*g(u) + 6*i(u)?
13*u
Let c(b) = b - 1. Let t(g) = -5*g + 1. Let d = -25 - -7. Let x(p) = -p - 17. Let r be x(d). Suppose -2*v = -3 - 3. Determine r*t(z) + v*c(z).
-2*z - 2
Let o(l) = 7. Let d(f) = 4. Let i(w) = -5*d(w) + 3*o(w). Suppose -4*y - 3*p = 19, -5*p = 3*y + y + 29. Let n(q) = 2*q - 7. Calculate y*n(j) - 6*i(j).
-2*j + 1
Let k(t) = -6 + 11 + 2 - t - 8. Let p(i) = 5*i + 2. Give -4*k(m) - p(m).
-m + 2
Suppose 0*d = d. Let q(j) = -4*j + j + d*j + 4*j**3 + 3 - 7*j**2. Let h(x) = -3*x**3 + 5*x**2 + 2*x - 2. Suppose -176 = -2*u - 190. Determine u*h(c) - 5*q(c).
c**3 + c - 1
Let k(m) be the second derivative of 0 + 2*m + 1/12*m**4 + 0*m**3 - 1/20*m**5 + 1/2*m**2. Let j(h) = h**3 - 3*h**2 - 3. Calculate j(v) + 3*k(v).
-2*v**3
Let l(w) be the second derivative of -9*w**5/20 + 5*w**4/12 + 5*w**3/6 + w**2 + 3*w - 10. Let y(q) = 13*q**3 - 7*q**2 - 7*q - 3. Calculate -7*l(u) - 5*y(u).
-2*u**3 + 1
Suppose 2*d + 5*j + 28 = 0, 5*d - 3*j + 3 + 5 = 0. Let o(a) = 21*a**2 + 27*a - 27. Let c(t) = 3*t**2 + 4*t - 4. Determine d*o(i) + 27*c(i).
-3*i**2
Let k(c) = -4*c + 1. Let j(g) = 8*g - 2. Determine 2*j(n) + 5*k(n).
-4*n + 1
Let l(d) = 7*d**2 + 8*d + 1. Let p(a) = 6*a**2 + 7*a + 1. Determine -5*l(f) + 6*p(f).
f**2 + 2*f + 1
Let d(l) = -6*l - 2. Let b(u) = -5*u - 1. What is 3*b(r) - 2*d(r)?
-3*r + 1
Let z(o) = -17*o**2 - 14*o - 6. Let i(s) = 6*s**2 + 5*s + 2. Calculate -11*i(m) - 4*z(m).
2*m**2 + m + 2
Let u(c) = -2*c**2 - 4*c + 5. Let j(v) = -v**2 - v + 1. Let l(g) = -5*g - 1. Let r be l(-3). Let n = 10 - r. What is n*j(m) + u(m)?
2*m**2 + 1
Let s(v) = -2*v**2 + 3*v + 5. Let x(z) = -z + 2. Let g be x(-2). Let d(c) = 2*c**2 - 4*c - 6. Suppose 4*k - 2*w = 8*k - 6, -w = -4*k + 15. Give g*s(p) + k*d(p).
-2*p**2 + 2
Let j(k) = 5*k + 1. Let p = 37 - 22. Suppose 6*a = a + p. Let m(h) = 0 - 16*h + 2*h - 3. Determine a*m(r) + 8*j(r).
-2*r - 1
Let y(w) = -5*w**2 + w - 3. Let m(g) = 6*g**2 - g + 3. What is -3*m(h) - 4*y(h)?
2*h**2 - h + 3
Let y(m) be the first derivative of -m**4/4 - m**3/3 + m**2/2 - m - 28. Let g be 4/6 + (-1)/(-3). Let d(x) = 3*x**2 - 4*x + 2. Determine g*d(v) + 2*y(v).
-2*v**3 + v**2 - 2*v
Let a(c) = -6*c**3 - 5*c**2 + 4*c + 4. Let o(u) = 19*u**3 + 14*u**2 - 11*u - 11. Give 11*a(z) + 4*o(z).
10*z**3 + z**2
Let v(t) = 6*t - 4. Let q = -21 - -26. Let u(x) = -