 = -6*i**3 + 4*i**2 + 2*i - 4. What is -4*b(h) + 9*m(h)?
-2*h**3 + 2*h
Let y(i) = -i**2 - i - 1. Let g(t) = 2*t**3 - 12*t**2 - 12*t - 12. Calculate -g(u) + 12*y(u).
-2*u**3
Let i(t) = -2 - 12*t + 4 + 11*t + 6*t. Let j(k) = -1. Calculate -i(z) - 2*j(z).
-5*z
Let w(i) = -12*i**2 + 11*i + 12. Let f(b) = -b**2 + b + 1. Let y be 4/6 + 4/3. Calculate y*w(k) - 22*f(k).
-2*k**2 + 2
Let j(o) = -2*o**3 - 3*o + 4. Let c(a) = -a**3 - a - 1. Give -6*c(n) + 2*j(n).
2*n**3 + 14
Suppose -16 = 2*u + 2*q, 0 = -2*u - 3*u - 4*q - 37. Let i(l) = -6*l**2 + 5*l + 6. Let h(v) = -2 + 2 + 7*v**2 - 7 - 6*v. Give u*i(o) - 4*h(o).
2*o**2 - o - 2
Let b(u) = -8*u**3 - 9*u**2 + 2*u. Let o(v) = -7*v**3 - 8*v**2 + 2*v. Give -6*b(n) + 7*o(n).
-n**3 - 2*n**2 + 2*n
Let z = -1 + 4. Let v(h) be the third derivative of -h**5/12 - h**4/8 + h**3/6 - 30*h**2. Let r(g) = 14*g**2 + 8*g - 3. Give z*r(b) + 8*v(b).
2*b**2 - 1
Let m(x) = -x**2 + x. Suppose 3 = 5*h + 18. Let r be -3 + 1 + 4 - 1. Let o(k) = -6*k**2 + 3*k. Determine h*m(d) + r*o(d).
-3*d**2
Let s(v) = -51*v - 2. Let a(f) = -102*f - 5. Give -2*a(h) + 5*s(h).
-51*h
Let h(g) = -12*g + 8. Let o(z) = 8*z - 5. Let k(i) = -i**2 + 6*i. Let m be k(4). Determine m*o(n) + 5*h(n).
4*n
Let i(m) = 13*m**3 - 7*m - 51. Let x(y) = 6*y**3 - 3*y - 25. Give -4*i(q) + 9*x(q).
2*q**3 + q - 21
Let c(n) = 21*n**2 - 16*n + 21. Let h(o) be the second derivative of o**4/3 - o**3/2 + 2*o**2 + 27*o. Calculate 2*c(u) - 11*h(u).
-2*u**2 + u - 2
Let i(p) = -2*p + 2. Let r(b) = 3*b - 3. Let t(m) = -4*i(m) - 3*r(m). Let v(l) = -3*l**2 + 3*l - 3. Calculate 3*t(s) + v(s).
-3*s**2
Let f(h) = -h**3 + h**2 + h - 1. Let u(w) = -3*w**3 + 6*w + 17*w**2 - 10*w**2 - 6 + 2*w**2 - w**2. Give -6*f(k) + u(k).
3*k**3 + 2*k**2
Let v(f) = -3*f + 2. Suppose -z - 2*z = -2*o - 8, 4*z - 2*o = 10. Let q(m) = 16*m - 11. What is z*q(d) + 11*v(d)?
-d
Suppose -b = 2*u - 7, -2*u = -4*b + 9*b - 3. Let d(o) = 0*o**3 + 3*o**2 - 2*o**2 + o - o**3. Let w(z) = -8*z**3 + 6*z**2 + 6*z + 1. Calculate b*w(l) + 6*d(l).
2*l**3 - 1
Let y(i) = 9*i + 4. Let j be y(-1). Let p(f) = 3*f + 5. Let q(v) = 4*v + 6. What is j*p(n) + 4*q(n)?
n - 1
Let v(k) = 3*k + 4. Let n(j) = 6*j + 6. Let z(i) = 5*i + 5. Let l(b) = 6*n(b) - 7*z(b). Calculate -4*l(w) + v(w).
-w
Let d(t) = 2*t**2 + 4. Let a = -7 + 4. Let i(v) = 2*v**2 - 50*v + 27*v + 3 + 23*v. Give a*i(u) + 2*d(u).
-2*u**2 - 1
Let r(k) = k - 4. Suppose -4*b = 2*h + 8, 4*b + 5*h = -0*b - 8. Let t = 1 - b. Suppose t*i - 2 = i. Let n(w) = -1. What is i*r(c) - 5*n(c)?
c + 1
Let b(v) = -21*v - 9. Let i(w) = -5*w - 2. Determine -2*b(m) + 9*i(m).
-3*m
Suppose -21*c - 88 = 38. Let g(i) = -6*i**3 - 2*i + 1. Let s be g(1). Let m(o) = 8*o**3 - 5. Let t(v) = -7*v**3 + 4. Give c*m(h) + s*t(h).
h**3 + 2
Let v(q) = -1 + 14*q - 3*q - 6*q. Let d(s) = -6*s + 1. Calculate 3*d(h) + 4*v(h).
2*h - 1
Let v(p) = p + 1. Let h(o) = 1. Let d(k) = 8. Let n(r) = d(r) - 5*h(r). Let c(z) = 2*z - 1. Let f be c(1). What is f*n(g) - v(g)?
-g + 2
Let m(w) = -w. Let u(j) = 4*j + 18. What is 2*m(y) + u(y)?
2*y + 18
Let b(c) = -55*c**2. Let r(s) = -165*s**2. What is 8*b(t) - 3*r(t)?
55*t**2
Let w(x) be the third derivative of -x**5/60 - x**3/3 - 2*x**2. Let k(g) = 5*g**2 + g + 8. Let z = -8 - -6. Let l be 0 + (2 - 2 - 9). Determine l*w(a) + z*k(a).
-a**2 - 2*a + 2
Let u be (-4)/(-10) - (-94)/(-10). Let p be (-3 - u - 3) + -2. Let v(t) = 2*t**3 - 5*t. Let f(g) = g. Give p*v(i) + 5*f(i).
2*i**3
Let z = -78 - -71. Let k(d) = 5*d**3 + 8*d**2 - 7*d - 6. Let i(u) = -4*u**3 - 7*u**2 + 6*u + 5. Give z*i(g) - 6*k(g).
-2*g**3 + g**2 + 1
Let o(u) = 2*u**2 + 7*u. Let t(n) = 3*n**2 + 15*n. Determine 5*o(q) - 3*t(q).
q**2 - 10*q
Let f(m) = -2*m**3 + 4*m**2 - 4*m + 4. Let s = -16 - -20. Let o(r) = -r**2 + r - 1. Give s*o(n) + f(n).
-2*n**3
Let q(g) = -5*g**2 + 5*g + 4. Let o(w) = 14*w**2 - 14*w - 11. Let i = -1 - -4. Suppose -s + i*s = -22. Calculate s*q(z) - 4*o(z).
-z**2 + z
Let p(j) = 6*j**3 - 4*j**2 + 6*j + 1. Let y(h) = 5*h**3 - 3*h**2 + 5*h + 1. Determine -3*p(c) + 4*y(c).
2*c**3 + 2*c + 1
Let o(y) = -y + 1. Let m(p) = 5 - 6 + 3 - 2*p. Determine -2*m(c) + 5*o(c).
-c + 1
Let u(t) = -3*t - 8. Let a = 295 - 300. Let n(o) = -6*o - 5. Let h(j) = 13*j + 10. Let f(w) = -4*h(w) - 9*n(w). Calculate a*u(r) - 8*f(r).
-r
Let l(i) = 17*i - 11. Let b(z) = -11*z + 7. Calculate -8*b(u) - 5*l(u).
3*u - 1
Let j = -38 + 37. Let l(a) = -a**2 + a - 1. Let q(i) = 7*i**2 - 4*i + 5. Determine j*q(b) - 4*l(b).
-3*b**2 - 1
Let v(i) = -2*i**3 - 7*i**2 - 6. Let k(o) = 4*o**3 + 13*o**2 + 11. Determine 6*k(a) + 11*v(a).
2*a**3 + a**2
Let g(y) = 5*y**3 + y**2 - 1. Let m = 16 + -19. Let o(r) = 14*r**3 + 2*r**2 - 3. Suppose 2*l - 14 = -2*h, -h - 36 = -5*h + 4*l. Calculate h*g(b) + m*o(b).
-2*b**3 + 2*b**2 + 1
Let r(o) = 3*o**3 + 20*o**2 - 4*o + 4. Let u(j) = -8*j**3 - 59*j**2 + 11*j - 11. Determine -11*r(p) - 4*u(p).
-p**3 + 16*p**2
Let l = -5 + 6. Let y(u) = u**2 - 4. Let m(b) = -b**2 + 1. Give l*y(x) + 2*m(x).
-x**2 - 2
Suppose -1 = 2*k + 1. Let a = -5 - k. Let y(n) = n**3 - 4*n**2 - 4*n. Let j(s) = -s**2 - s. Give a*j(h) + y(h).
h**3
Let p(u) = -6*u**2 - 3*u - 3. Let f(i) = -11*i**2 - 5*i - 5. Let g(d) = -2*d - 1. Let w be g(1). Determine w*f(z) + 5*p(z).
3*z**2
Let n(p) = 4 - 3*p + 0*p + 4*p - 2. Let m(g) = -3*g - 5. Calculate -2*m(k) - 5*n(k).
k
Let d(x) = -3*x - 2. Suppose -11*l + 44 = -7*l. Let g(p) = 8*p + 5. Suppose -4*q + 2 + 14 = 0. Calculate l*d(n) + q*g(n).
-n - 2
Let u(d) = 2*d**3 - 9*d**2 - 10. Let b(l) = 2*l**3 - 8*l**2 - 11. Give 7*b(z) - 6*u(z).
2*z**3 - 2*z**2 - 17
Let v(c) = 22*c**2 + 6*c + 8. Let o(t) = 43*t**2 + 13*t + 17. Determine -6*o(m) + 13*v(m).
28*m**2 + 2
Let k(l) = 9*l**3 + 13*l**2 - 7*l + 7. Let n(u) = 3*u**3 + 4*u**2 - 2*u + 2. Give 2*k(s) - 7*n(s).
-3*s**3 - 2*s**2
Let f = -2 - -4. Let h(u) = -5*u**3 - 11. Let n(q) = q**3 + 2. Give f*h(z) + 11*n(z).
z**3
Let h(f) = f - 25. Let t(l) = 2*l - 26. Give 3*h(a) - 2*t(a).
-a - 23
Let m(b) = 5*b**2 + 4*b + 4. Let c(a) = 6*a**2 + 5*a + 5. Determine 4*c(j) - 5*m(j).
-j**2
Suppose 0*p = -2*p - 6. Let g be p/2*56/(-12). Let s(n) = -g + 13 + 10*n + 4. Let r(i) = -3*i - 3. What is -14*r(d) - 4*s(d)?
2*d + 2
Let h(k) = k**2 + k - 1. Let r(m) = 1. Let u(x) = -8*x**2 - 8*x + 9. Let w(p) = 5*r(p) - u(p). Determine 6*h(s) - w(s).
-2*s**2 - 2*s - 2
Let x(k) = 7*k**2 - 3*k + 6. Let a(c) be the first derivative of -5*c**3 + 3*c**2 - 13*c - 13. What is 6*a(o) + 13*x(o)?
o**2 - 3*o
Suppose 0 = -5*t + 2 + 18. Suppose t*m - 2 = h, -7 = -m - 3*h - 0. Let g(r) = 1. Let z(q) = -2*q + 4. Determine m*z(p) - 6*g(p).
-2*p - 2
Let x(u) = -8*u**3 + 11*u - 11. Let w = 22 - 11. Let q(y) = 3*y**3 - 4*y + 4. Give w*q(g) + 4*x(g).
g**3
Let u(q) = -q**2 - q + 1. Let b(i) = i**2. Let t(n) = 4*n**2 + 8*n - 8. Let m(k) = 6*b(k) + t(k). What is m(f) + 8*u(f)?
2*f**2
Let r(l) = 9*l**2 + 4*l. Let a(o) = -4*o**2 - 1. Let u be a(1). Let v(t) be the first derivative of -13*t**3/3 - 3*t**2 - 34. What is u*v(w) - 7*r(w)?
2*w**2 + 2*w
Let t(i) = 23*i. Let r(x) = -392*x. Give 5*r(y) + 84*t(y).
-28*y
Let y(f) = f + 6. Suppose -6*j = 13 + 11. Let p(o) = o + 7. What is j*p(n) + 5*y(n)?
n + 2
Let l(m) = 3*m - 5. Let g(k) = -5*k - 1. Let n be g(-1). Let d(y) = -y + 1. What is n*d(b) + l(b)?
-b - 1
Let h(f) = 3*f**2 - 4*f + 3. Let w(p) = 2*p**2 - 2*p + 2. What is 3*h(d) - 5*w(d)?
-d**2 - 2*d - 1
Let g be 1 + 1 + 1 + 0. Let k(f) = 9*f**3 - 7*f**2 - 7*f. Let d(i) = -4*i**3 + 3*i**2 + 3*i. What is g*k(n) + 7*d(n)?
-n**3
Let x(z) = -17*z**3. Suppose -t - 8 = -2*t. Let f(o) = 6*o**3. Give t*f(k) + 3*x(k).
-3*k**3
Let u(k) = 19*k**3 + 5*k**2 - 5*k + 23. Let t(n) = 28*n**3 + 7*n**2 - 7*n + 34. Let m(j) = -5*t(j) + 7*u(j). Let x(w) = 4*w**3 + 5. Calculate 6*m(f) + 11*x(f).
2*f**3 + 1
Let u(o) = -7*o + 6. Let c = -3 - -2. Let l be -1 - (c + 2) - 2. Let k = l - -5. Let b(r) = r - 1. Determine k*u(a) + 6*b(a).
-a
Let s(g) = g**2 + g + 1. Let h(o) = -5*o**2 - 2*o - 5. Suppose -3*u + 3 = -4*u. What is u*s(q) - h(q)?
2*q**2 - q + 2
Let a(f) = -f**3 + f**2 + f. Let j(i) = -i**2 - i. Suppose -c = 3*p - 11, 3*c - 2*p - 8 - 3 = 0. Suppose c*d = d + 8. Calculate d*a(t) + j(t).
-2*t**3 + t**2 + t
Let x(r) = -r + 1. Let u(z) = -4*z + 7. What is -u(b) + 3*x(b)?
b - 4
Let p(x) = -213*x - 6. Let s(h) = 71*h + 2. What is -4*p(j) - 11*