alculate o*i(x) - w(x).
-2*x**3 - 2*x**2 + 2
Let v(c) be the third derivative of c**6/120 + c**5/10 - c**4/4 + c**3 - 12*c**2. Let t(x) = 10*x**3 + 65*x**2 - 65*x + 65. Determine -6*t(o) + 65*v(o).
5*o**3
Let p(d) = 8*d + 2. Let u(f) = -f. Suppose 0 = -2*w - 0*w - m - 3, 3*m = 3*w. What is w*p(n) - 6*u(n)?
-2*n - 2
Let a(o) = -3. Let r(s) = -3*s - 4. Let v(d) = -7*d - 8. Let p(h) = -5*r(h) + 2*v(h). Suppose -1 = z - 3. Give z*p(g) + 3*a(g).
2*g - 1
Let v(o) = 0*o + o**2 - o + 0*o. Let d(u) be the first derivative of 3 + 0*u - 1/2*u**2. Calculate -2*d(z) + 2*v(z).
2*z**2
Let x(d) = 15*d**3 - 2*d**2 - 2*d - 2. Let i(k) = -30*k**3 + 5*k**2 + 5*k + 5. Determine -2*i(m) - 5*x(m).
-15*m**3
Let f(v) = v**3 + 2*v**2 - 2*v. Let s(h) = -2*h**3 - 5*h**2 + 5*h. What is -5*f(b) - 2*s(b)?
-b**3
Let m(f) = -2*f**2 - 5*f - 3. Let q(c) = -c**2 - 2*c - 1. Give -3*m(b) + 7*q(b).
-b**2 + b + 2
Let t(i) = -i**2 + 3*i - 3. Suppose 4*k + 0 - 4 = 0. Suppose 2*j = j - k. Let q(n) = -n**2 + n - 1. Calculate j*t(c) + 3*q(c).
-2*c**2
Let b(x) = -x**2 - 2*x - 2. Let i(r) be the first derivative of 5*r**3/3 + 11*r**2/2 + 11*r - 4. Calculate -33*b(h) - 6*i(h).
3*h**2
Let k(c) = c**3 - 2*c**2 + 2*c. Let b(o) = o**3 - 3*o**2 + 3*o. What is -2*b(g) + 3*k(g)?
g**3
Let j(x) = -x**2 + x + 3. Let z(u) = 4*u**2 - 4*u - 10. Determine -7*j(d) - 2*z(d).
-d**2 + d - 1
Let f(z) = -z**3 + 3*z**2 + 7*z. Let i(r) = 6*r**3 - 15*r**2 - 36*r. Give 11*f(y) + 2*i(y).
y**3 + 3*y**2 + 5*y
Let y(q) = 17*q - 3. Let c(w) = 16*w - 2. What is -3*c(r) + 2*y(r)?
-14*r
Let x(h) be the first derivative of h**3 - 3*h**2 - 2*h - 14. Let c(a) = 6*a**2 - 11*a - 4. What is -4*c(t) + 7*x(t)?
-3*t**2 + 2*t + 2
Let r(t) = 4*t**3 + 2*t**2 + 5*t. Let i be ((-4)/(-6))/(2/(-6)). Let s = i + 5. Let l(k) = k + k**3 + k**2 - k**2. Calculate s*l(a) - r(a).
-a**3 - 2*a**2 - 2*a
Let w(r) = -4*r**2 - 2*r - 3. Let t(p) = 20*p**2 + 11*p + 15. Calculate -2*t(s) - 11*w(s).
4*s**2 + 3
Let y(a) = a**3 - a - 2. Suppose -3*i - 9 = -0. Let z(x) = -x**3 + x. Suppose -2*u - 5 = 3*u. Determine i*z(q) + u*y(q).
2*q**3 - 2*q + 2
Let w(u) = u**3 + 4*u**2 + 2*u + 2. Let t(q) = 4*q**2 - 2*q + 3. Let m(d) = -9*d**2 + 5*d - 7. Let p(v) = -3*m(v) - 7*t(v). Determine -2*p(g) - w(g).
-g**3 - 2*g**2 - 2
Let p(y) = -y. Let q(z) = -4*z + 2. Let f(k) = -k + 1. Let c(b) = -6*f(b) + 3*q(b). What is -c(n) + 3*p(n)?
3*n
Let c(u) = -6*u**2 - 4. Let r(n) = -4*n**2 - 3. Suppose 0 - 8 = -2*v. Suppose -3*j + 2*j = -3*m + 11, v*j = 4*m - 28. What is j*c(y) + 7*r(y)?
2*y**2 - 1
Let b(f) = f. Let q(x) = 2*x. Let a be ((-77)/22)/((-2)/(-8)*-2). Give a*b(w) - 6*q(w).
-5*w
Let c be (-4)/(-6)*81/(-18). Let a(z) = z**2 - 4*z + 4. Let f(m) = m**2 - 3*m + 3. Give c*a(o) + 4*f(o).
o**2
Let y(a) = -18*a + 2. Let k(w) = -36*w + 5. Give -3*k(i) + 7*y(i).
-18*i - 1
Let y(q) = 3*q - 5*q**2 + 7 - q + 4*q. Let d(u) = -14*u**2 + 17*u + 20. Calculate -6*d(a) + 17*y(a).
-a**2 - 1
Let p(z) = -2*z**3 - 3*z + 10. Let g(l) = 6*l**3 + 8*l - 29. What is -3*g(t) - 8*p(t)?
-2*t**3 + 7
Let g(c) = 8*c + 12. Let p(b) = -7*b - 11. Determine 5*g(k) + 6*p(k).
-2*k - 6
Let x(n) = -n. Let v be 1*(-2)/4*-2. Let b(p) = -3*p + 1 - p + 0*p. Give v*b(f) - 6*x(f).
2*f + 1
Let s(k) = -k**3 + k**2 + k - 1. Suppose 6 = -h - 2*h. Let j(i) = 2*i**3 - 2*i**2 - 3*i + 3. Calculate h*j(p) - 6*s(p).
2*p**3 - 2*p**2
Suppose -v + 0*v + 2 = 0. Let f(k) = -2*k**2 + k**2 + 8 - 6*k - v + 0*k. Let u(y) = -y + 1. What is f(m) - 6*u(m)?
-m**2
Let n(j) = 2*j**2 - 3*j - 3. Suppose -5*l - 7 = 3. Let m(i) = i**2 - 2*i - 2. Calculate l*n(y) + 3*m(y).
-y**2
Let q(v) = 2*v**2 - 13*v - 5. Let b(z) = -z**2 + 6*z + 2. Calculate 9*b(o) + 4*q(o).
-o**2 + 2*o - 2
Let s(v) = 12*v + 1. Let j(i) = -23*i - 2. Determine 6*j(z) + 11*s(z).
-6*z - 1
Let f(p) = -5*p**2 + 6*p - 1. Let s(n) be the third derivative of n**5/10 - 7*n**4/24 + n**3/6 + 14*n**2. What is -5*f(l) - 4*s(l)?
l**2 - 2*l + 1
Suppose 0 = -2*x + 83 - 87. Let y(r) = r**2 + 3*r - 1. Let b(l) = 2*l - 1. Give x*y(i) + 3*b(i).
-2*i**2 - 1
Let r(v) = 4*v**2 + v - 1. Let q(s) = -3*s**2 + 1. What is 5*q(i) + 4*r(i)?
i**2 + 4*i + 1
Let t(b) = 3*b**2 + 4*b - 1. Let w(o) = -4*o**2 - 5*o + 1. Let x(a) = 5*t(a) + 4*w(a). Let m(v) = 30*v**2 + 24. What is -m(f) - 24*x(f)?
-6*f**2
Let t(o) = -37*o**2 + 9*o - 7. Let j(p) = -18*p**2 + 4*p - 3. Calculate -9*j(f) + 4*t(f).
14*f**2 - 1
Let r(u) = -7*u**2 - 2*u - 2. Let t(l) = 69*l**2 + 21*l + 21. Determine -21*r(o) - 2*t(o).
9*o**2
Let z(m) be the first derivative of -2*m**2 - m + 22. Let p(d) be the third derivative of -d**4/24 + d**2. Give 6*p(h) - z(h).
-2*h + 1
Let u(h) = -3*h + 1. Suppose 2*q - 4*p = -q, 4*q - 4*p = 4. Let k = 9 - q. Let t(g) = 2*g - 1. Calculate k*u(v) + 7*t(v).
-v - 2
Let c(h) = h + 1. Let q = 9 - 8. Let z(v) = -5. Let b(w) = 14. Let i(k) = 4*b(k) + 11*z(k). Calculate q*c(n) + i(n).
n + 2
Let p(v) = v - 1. Let i be p(3). Let r(s) = 0*s - s + 2*s - i. Let x(a) = -a. Let t be 9/(-15)*(-3 + 5 + 3). Calculate t*x(d) - r(d).
2*d + 2
Suppose -14*u + 17 = 3. Let b(j) = j**3 - j**2 - 1. Let a(r) = 3*r**2 + r + 3. What is u*a(f) + 3*b(f)?
3*f**3 + f
Let w(r) = -2*r**2 + 3. Let h(t) = -t**2 + 2. Let b(g) = g**3 - 4*g**2 - 5*g - 7. Let d be b(5). Give d*h(x) + 4*w(x).
-x**2 - 2
Let z(x) = -3*x**3 - 3*x**2 - 4. Let l(h) = 16*h**3 + 15*h**2 + 21. Determine -2*l(r) - 11*z(r).
r**3 + 3*r**2 + 2
Let r(d) = -7*d**3 + 5*d**2 + 2*d + 7. Let j(u) = -22*u**3 + 16*u**2 + 6*u + 22. Calculate -5*j(p) + 16*r(p).
-2*p**3 + 2*p + 2
Let v(q) = -1. Let m(w) = -w + 7. Calculate -m(b) - 4*v(b).
b - 3
Let n(q) = -7*q**3 + 5*q + 6. Let a(u) = -15*u**3 + 11*u + 12. Calculate -6*a(p) + 13*n(p).
-p**3 - p + 6
Let x(t) = -32*t**3. Let b(p) = 255*p**3. Give 2*b(n) + 17*x(n).
-34*n**3
Let u(h) = 16*h**3 + 2*h**2 + 2*h - 2. Let p(z) = 31*z**3 + 5*z**2 + 5*z - 5. Determine -2*p(y) + 5*u(y).
18*y**3
Let x = -5 + -2. Let h(j) = -6*j + 0 - 2*j**3 + 3*j - 3. Let z = -28 + 31. Let d(s) = -5*s**3 - 7*s - 7. Determine x*h(p) + z*d(p).
-p**3
Let l(n) = -3*n**2 - 2. Let z(i) = 8*i**2 + 7. Give -21*l(y) - 6*z(y).
15*y**2
Let h(i) = -3. Suppose -y + 2 = -g, -14 = -2*y + 2*g + 2*g. Let a(m) = -m - 3. Suppose -z = -3*u - 2*u + 10, 0 = 2*u - 5*z + 19. Give u*a(c) + y*h(c).
-3*c
Let x(k) = k**2 - 3*k + 3. Let n(h) be the third derivative of -h**5/10 + 2*h**4/3 - 8*h**3/3 + 18*h**2. What is -3*n(c) - 16*x(c)?
2*c**2
Let l(z) = -z - 1. Let h(r) = 5*r + 3. What is 4*h(a) + 18*l(a)?
2*a - 6
Let n(z) = 2576*z + 207. Let t(f) = 25*f + 2. Calculate -2*n(w) + 207*t(w).
23*w
Let h(n) = 5*n**3 - 2*n**2 - 2*n - 2. Let t(m) = -m**3 + m**2 + m. Let v(u) = 12*u**3 - 9*u**2 - 9*u - 3. Let f(i) = -6*t(i) - v(i). Determine -2*f(r) - 3*h(r).
-3*r**3
Let a(z) = 4*z - 2. Let c = -11 - -34. Let s = c + -14. Suppose 0 = 6*m - m - 10. Let t(j) = -17*j + 9. Calculate m*t(o) + s*a(o).
2*o
Suppose 0 = -4*b - 1 + 21. Let w(o) = o**2 - 2*o + 4. Let j(n) = -2*n**2 - 6*n + 5. Let c(r) = -r**2 - r. Let i(g) = 3*c(g) - j(g). Determine b*w(m) + 4*i(m).
m**2 + 2*m
Let m(j) be the second derivative of -j**5/20 - j**4/12 - j**3/3 + 25*j. Let r(l) = -l. Give m(s) - 2*r(s).
-s**3 - s**2
Let b(c) = -c + 2. Let t be b(-5). Let s(g) = -8 - 6*g - 13 + t. Let u(j) = -4*j - 9. Suppose 2 = -4*k - 30. What is k*u(i) + 5*s(i)?
2*i + 2
Let w(t) = -3*t - 7. Let s(v) = -6*v - 15. Suppose -8*q = -12*q - 24. Calculate q*s(y) + 13*w(y).
-3*y - 1
Let i(f) = -f - 1. Let n(h) = 2*h + 3. Suppose 0 = -5*x + 7 + 3. Suppose -3*r - 6 = 3*q, 0*r = -r - 5*q + x. What is r*i(c) - n(c)?
c
Let l(f) = 4*f. Let i(q) = -14*q - 1. Let w(b) = -i(b) - 4*l(b). Let p(j) be the first derivative of -j**2 + j - 1. Calculate 5*p(g) - 6*w(g).
2*g - 1
Let q(z) = -9*z - 3. Let f(t) = -3*t - 1. Let w(d) = -7*f(d) + 2*q(d). Let j(c) = -c. Determine j(x) + w(x).
2*x + 1
Let c(b) = 2*b**2 + b - 1. Let o(s) = -3*s**2 - s. Calculate -6*c(z) - 5*o(z).
3*z**2 - z + 6
Let p(s) = -18*s**2 + 5*s + 5. Let j(r) = 325*r**2 - 91*r - 91. Determine 5*j(i) + 91*p(i).
-13*i**2
Let l(d) = d - 4. Let x be l(7). Let t(h) = 2 - h**x + 3*h**3 - 5 + 2*h**3. Suppose 2*z + 6 = -0. Let n(s) = 3*s**3 - 2. Give z*n(c) + 2*t(c).
-c**3
Suppose -2*h + 10 = c + 3*c, 1 = -c + 3*h. Let w(j) = 1. Let m(k) = -k - 6. Calculate c*m(u) + 14*w(u).
-2*u + 2
Let c = 10 + -4. Suppose -4*o = -o