k + 1
Let l(k) = 266*k**3 + 77*k**2 + 77. Let h(y) = 7*y**3 + 2*y**2 + 2. What is -154*h(c) + 4*l(c)?
-14*c**3
Let q(k) = 7*k**3 - 9*k - 4. Let x(t) = -6*t**3 + 10*t + 5. Determine -5*q(a) - 4*x(a).
-11*a**3 + 5*a
Let g(v) = -v**3 + 4*v**2 + 4*v - 4. Let h(x) = -x**3 + 5*x**2 + 5*x - 5. Let b(m) = 4*m + 2. Let s be b(-3). Let a = s - -6. What is a*h(l) + 5*g(l)?
-l**3
Let l(z) = z**2 + 1. Let p(k) = -4*k**2 - 44. Calculate -5*l(a) - p(a).
-a**2 + 39
Suppose -m = -5*f + 64, -5*m = -4*f - 0*m + 47. Let z(n) = f*n + 19 - 4*n**2 - 2 + 0*n**2. Let g(l) = 2*l**2 - 6*l - 8. What is 13*g(a) + 6*z(a)?
2*a**2 - 2
Let a(n) = n - 4. Let q(u) = -2*u + 9. Give -14*a(b) - 6*q(b).
-2*b + 2
Let r(u) = -4*u**2 - 5*u - 8. Let g(k) = -10*k**2 - 11*k - 13*k**2 - 5 - 12 + 14*k**2. Give 6*g(x) - 13*r(x).
-2*x**2 - x + 2
Let k(a) = 56*a**2 + 11*a. Let w(t) = -19*t**2 - 4*t. What is -4*k(m) - 11*w(m)?
-15*m**2
Let n(y) = -15*y**2 - 2*y - 2. Let a(g) = 195*g**2 + 27*g + 27. Determine 2*a(j) + 27*n(j).
-15*j**2
Let o(s) be the first derivative of s**2 + s - 4. Let q(z) = -z - 1. What is -3*o(u) - 5*q(u)?
-u + 2
Let d(w) = -16*w**3. Let c(r) = -17*r**3. What is -3*c(i) + 4*d(i)?
-13*i**3
Let r(b) = -b**2 + b - 2*b - 1 + 0*b. Let m(t) be the third derivative of 1/120*t**6 - 1/12*t**5 + 0*t - 1/4*t**4 - 2*t**2 + 0 - 5/6*t**3. Give -m(y) + 5*r(y).
-y**3 + y
Let u = -18 - -8. Let s(n) = n**3 + 10*n**2 + 11. Let k be s(u). Let w(o) = -15*o**2 - 15*o + 15. Let x(g) = -8*g**2 - 8*g + 8. Calculate k*x(z) - 6*w(z).
2*z**2 + 2*z - 2
Let k(u) = 42*u - 36. Let l(b) be the first derivative of b**2/2 - b + 17. Determine k(g) - 36*l(g).
6*g
Let y(p) = -5*p**2 - 2*p + 2. Let k(r) = 110*r**2 + 45*r - 45. Give -2*k(f) - 45*y(f).
5*f**2
Let a(b) = -4*b**2 + 9*b - 1. Let v(o) = 7*o**2 - 17*o + 2. Determine -5*a(r) - 3*v(r).
-r**2 + 6*r - 1
Let c(b) = 4*b**2. Suppose 0 = -2*n + j + 2, -n - 19 = -2*n - 4*j. Let k(v) = -1 - 4*v**2 - v**2 - v**n + 2. Give -3*c(a) - 2*k(a).
2*a**3 - 2*a**2 - 2
Let f(l) = -4*l**3 - 6*l**2 + 3. Let o(h) = -4*h**3 - 5*h**2 + 3. Calculate 5*f(p) - 6*o(p).
4*p**3 - 3
Let u(l) = 5*l. Let q be u(1). Let j(b) = -1. Let t(a) = a - 5. What is q*j(o) - t(o)?
-o
Let f(n) = -2*n**2 - 5*n + 9. Let j(i) = -3*i**2 - 6*i + 10. Calculate 6*f(d) - 5*j(d).
3*d**2 + 4
Let k(g) = g - 1. Let u(r) = -3*r**2 + 3*r - 5. Let l(w) = -4*k(w) + u(w). Let y be 88/72 - 4/18. Let v(b) = b**2 + b + 1. What is y*l(p) + v(p)?
-2*p**2
Let i(y) = 4*y**2 + 3*y - 22. Let o(v) = 7*v**2 + 5*v - 44. Give 5*i(r) - 3*o(r).
-r**2 + 22
Let y(h) = -h**3 + h**2 + h + 1. Let l = 4 + 0. Let g(j) = -j + 1. Let b(d) = -5*d**3 + 4*d**2 + 2*d + 4. Let v(c) = -b(c) + 2*g(c). Give l*y(q) + v(q).
q**3 + 2
Suppose 0 = -3*x + 12, -2*k - 5*x = -0*k - 36. Suppose 5*b = 3*b + k. Suppose 3 = -p + b. Let v(m) = -1. Let g(i) = i**2 - 2*i - 3. Determine p*g(q) - 3*v(q).
q**2 - 2*q
Let i(k) = k**3 - 4*k**2 - 3*k + 2. Let o(d) = -d**3 + d**2 + d. Suppose -u - 2 = h, h = -u - 3*u - 5. Determine h*i(n) - 4*o(n).
3*n**3 - n - 2
Let a(b) be the second derivative of -b**5/5 - 5*b**3/6 - b**2 - 2*b. Let z(q) = -6*q**3 - 7*q - 3. Give 7*a(i) - 5*z(i).
2*i**3 + 1
Let q(x) = 3. Let r(f) = f**3 + 9. Let d be (-54)/8 + (-11)/44. What is d*q(m) + 2*r(m)?
2*m**3 - 3
Let y(b) = 3*b**2 - 4*b - 3. Let q(z) = -9*z**2 + 11*z + 8. What is -3*q(k) - 8*y(k)?
3*k**2 - k
Suppose -a - 2*a + 15 = 0. Let b(j) = -j**3. Let h = -2 + 4. Let l(x) = 2*x**3 - x. Calculate a*b(t) + h*l(t).
-t**3 - 2*t
Let c(p) = -2*p - 4. Let d(f) = 3*f + 5. Give -6*c(k) - 5*d(k).
-3*k - 1
Suppose 6*m - m = 15. Let b(a) = 7*a + 3. Let y(i) = 8*i + 4. Calculate m*y(x) - 4*b(x).
-4*x
Let g(u) = 2*u**3 - 6*u**2 + 23*u. Let o(l) = l**3 - l**2 + l + 1. Let n(t) = -3*t**3 + 4*t**2 - 10*t - 2. Let k(a) = n(a) + 2*o(a). Determine 3*g(c) + 8*k(c).
-2*c**3 - 2*c**2 + 5*c
Let f = 82 + -80. Let u(k) = -3*k**2 - 5*k + 5. Let t(i) = -i**2 - i + 1. Give f*u(b) - 10*t(b).
4*b**2
Let w(l) = -2*l - 2. Suppose 16 = -0*n - 4*n. Let m(v) = 3*v - 1. Let y(f) = -7*f + 2. Let z(i) = n*y(i) - 9*m(i). What is 3*w(r) + 5*z(r)?
-r - 1
Let d(j) be the first derivative of -j**3/3 + j**2/2 - 31. Suppose 3*l - 4 = 7*l. Let h(t) = -t**3 + 3*t**2. Calculate l*h(i) - 2*d(i).
i**3 - i**2 - 2*i
Let i(h) = -h**2. Let w(u) = -6*u**2 + 45*u. Give -5*i(g) + w(g).
-g**2 + 45*g
Let g(r) = -r**2 - 3*r + 2. Let z(d) = 4*d**2 + 6*d - 5. Let y be z(1). Let n(s) = 2*s - 1. Give y*n(m) + 3*g(m).
-3*m**2 + m + 1
Suppose 6*y + 8 = 38. Let f(v) = 2 - 6 + v + 3. Let c(o) = -7*o**2 - 11*o - 2. Let t(a) = a**2 + a + 1. Let i(b) = c(b) + 6*t(b). Determine y*f(l) + i(l).
-l**2 - 1
Suppose -5*s + 4*m + 9 = 0, -4*s + 32 = -0*m + 3*m. Let u(d) = 3*d**3 + 2*d**2 - 2*d - 2. Let n(w) = 6*w**3 + 5*w**2 - 5*w - 5. What is s*u(q) - 2*n(q)?
3*q**3
Let q(x) = -7*x**3 + 6*x + 6. Let f(d) = -6*d**3 - d**2 + 5*d + 5. Calculate -4*f(o) + 3*q(o).
3*o**3 + 4*o**2 - 2*o - 2
Let l(j) = -2*j**2 + 3*j + 20. Let m(y) = -y**2 + y. Give -l(x) + 3*m(x).
-x**2 - 20
Suppose 4*o + u = -u + 2, -4*u = 3*o + 11. Let n(g) = 4*g - 2. Let v(m) = 29*m - 12. Let p(w) = 7*w - 3. Let h(r) = -9*p(r) + 2*v(r). Determine o*h(s) + 4*n(s).
s + 1
Let i(y) = 6*y - 6. Let d(g) = 5*g - 5. Determine 4*d(h) - 3*i(h).
2*h - 2
Let c(w) be the second derivative of -2*w**5/5 - w**4/2 + w**3 + 7*w. Let q(s) = -17*s**3 - 13*s**2 + 13*s. Calculate 13*c(z) - 6*q(z).
-2*z**3
Let y(m) = 4*m**3 + 7*m**2 + 5*m - 5*m - 2. Let o(z) = -z**3 + 9*z**2 - 10*z - 23. Let g be o(7). Let i(x) = -2*x**3 - 4*x**2 + 1. Give g*i(s) + 3*y(s).
2*s**3 + s**2 - 1
Let q(g) be the first derivative of g**2/2 + 4. Let u(d) = 10*d. Determine -22*q(i) + 2*u(i).
-2*i
Let d(k) = -3*k - 9. Let i be (1 - -2) + (-1 - 0). Let o(g) = -g - 4. What is i*d(l) - 5*o(l)?
-l + 2
Let s(l) = 26*l**2 + 41. Let p(o) = -5*o**2 - 8. Calculate -11*p(w) - 2*s(w).
3*w**2 + 6
Let y(h) = h**3 + h - 1. Let r(n) = -2. Calculate 2*r(d) - 3*y(d).
-3*d**3 - 3*d - 1
Let w(k) = 3*k**2 - 2. Let t(u) be the second derivative of -3/2*u**2 - 3*u + 0 + 0*u**3 + 1/3*u**4. Give 4*t(x) - 5*w(x).
x**2 - 2
Let p(o) = -3*o**2 - 5*o - 28. Let w(k) = 5*k**2 + 9*k + 55. Determine 7*p(s) + 4*w(s).
-s**2 + s + 24
Let f(l) = -l**2 - 2. Let y be f(0). Let u be 455/105 - (-4)/6. Let k(v) = -v**2 + 2*v. Let t(w) = -3*w**2 + 5*w + 1. Give u*k(h) + y*t(h).
h**2 - 2
Let i(f) = 9*f**3 - 7*f**2 - 5*f - 7. Let n(w) = -4*w**3 + 3*w**2 + 2*w + 3. What is 3*i(x) + 7*n(x)?
-x**3 - x
Let d(n) = -7*n**2 - 5*n + 3. Let v(u) be the third derivative of -2/3*u**4 - 11/30*u**5 + 5/3*u**3 + 0 + 0*u + 3*u**2. Determine -16*d(j) + 5*v(j).
2*j**2 + 2
Let i(b) = -9*b**3 + 8*b**2 + 14. Let m(r) = 8*r**3 - 7*r**2 - 13. Calculate -6*i(f) - 7*m(f).
-2*f**3 + f**2 + 7
Let x(a) = 4*a**2 + 49*a. Let v(g) = 11*g**2 + 146*g. Give -3*v(u) + 8*x(u).
-u**2 - 46*u
Let s(j) = -11*j**3 + 2*j - 6. Let g(a) = 12*a**3 - 3*a + 7. What is 6*g(w) + 7*s(w)?
-5*w**3 - 4*w
Let f(u) = -6*u**2 + 14*u - 14. Let q(w) = -2*w**2 + 5*w - 5. Give -5*f(s) + 14*q(s).
2*s**2
Let c(i) = i**3 - 3*i**2 + 2*i. Let h be c(3). Let q(t) = 5 + 7*t + 9 + 7 - 8. Let n(m) = -4*m - 2*m - 7 + 2*m. Calculate h*q(u) + 11*n(u).
-2*u + 1
Let j(i) = 3*i + 5. Let s(l) = l**3 + 10*l**2 - 11*l - 7. Let u be s(-11). Let o(r) = r**2 + 8*r. Let g be o(u). Let z(y) = -4*y - 7. Determine g*j(n) - 5*z(n).
-n
Let y(d) = -2*d**2 - 2*d. Let v(x) = 3*x**2 + 3*x. Calculate 3*v(o) + 4*y(o).
o**2 + o
Let n(v) = 2 + 2*v - 2*v**3 + 4*v**3 + 2 + v**2 - 7. Let t(r) = -3*r**3 - r**2 - 4*r + 5. What is 5*n(p) + 3*t(p)?
p**3 + 2*p**2 - 2*p
Let c(o) = 8*o**3 - 6*o**2 - 2*o - 7. Let w(b) = -17*b**3 + 13*b**2 + 4*b + 15. What is -13*c(z) - 6*w(z)?
-2*z**3 + 2*z + 1
Let y be (10 + -15)*(-4)/(-5). Let x(g) = 3*g**2 - g + 1. Let v(d) = 4*d**2 - 2*d + 2. What is y*v(u) + 6*x(u)?
2*u**2 + 2*u - 2
Let c(o) = 8*o**3 - 11*o. Let j(a) be the first derivative of 2*a**2 + 0*a - 1 - 3/4*a**4 + 0*a**3. Let h(s) = -s. Let i be h(4). What is i*c(v) - 11*j(v)?
v**3
Let h(y) = 2*y**3 + y**2 - 2*y - 4. Suppose -4*w - 6 = 6. Let m(v) = -2*v**3 - 2*v**2 + 3*v + 5. Give w*h(r) - 2*m(r).
-2*r**3 + r**2 + 2
Let v(s) = 2*s**2 - 2*s + 3. Let w(l) = -4*l**2 + 5*l - 6. Give -5*v(r) - 2*w(r).
-2*r**2 - 3
Let m(b) = 35*b**3 + 30. Let y(j) = -j**3 - 1. Give m(p) + 30*y(p).
5*p**3
Let b(z) = 