derivative of 0*w**3 + 1/4*w**4 + 2*w**2 - 5*w - 6. Calculate -5*a(y) + 3*t(y).
-2*y**3 + 2*y
Let p(z) = -4*z**2 + 9*z - 4. Let r(a) = 9*a**2 - 17*a + 9. What is -5*p(l) - 2*r(l)?
2*l**2 - 11*l + 2
Let y(x) = 9*x**3 + 5*x**2 - 11*x - 4. Let t(g) = -g**3 - 1. Let l(m) = -4*t(m) - y(m). Let k(s) = 3*s**3 + 3*s**2 - 7*s - 5. What is -8*k(o) - 5*l(o)?
o**3 + o**2 + o
Let c(r) = -r**3 - r**2 - r - 1. Suppose 8 = 5*q + o, -2*q - 2*o + 4 = 2*q. Let b(w) = -w**3 - 2*w**2 - 2*w - 2. What is q*c(p) - b(p)?
-p**3
Let r(j) = -j**3 + 2*j - 4. Let w = 2 - 4. Let f(k) = 1. Give w*f(o) - r(o).
o**3 - 2*o + 2
Let l(t) = 15*t**3 + 17*t + 20. Let p(y) = -5*y**3 - 6*y - 7. What is -6*l(r) - 17*p(r)?
-5*r**3 - 1
Let g(m) = 15*m. Suppose 2*h - w - w + 2 = 0, 0 = 5*h - 3*w + 11. Let t(p) = -7*p. Calculate h*g(f) - 9*t(f).
3*f
Let d be (-1 + (-5)/(-3))*6. Let o(b) = -5*b + 4 - b - 2 + 0*b. Let x(y) = -y - 3. Let q(i) = -2*i - 2. Let u(r) = -4*q(r) + 3*x(r). What is d*u(k) + 3*o(k)?
2*k + 2
Let k = -26 - -22. Suppose -4*s = -7*s + 9. Let g(z) = 6*z**3 + 4*z**2 + 4*z + 6. Let i(u) = 5*u**3 + 3*u**2 + 3*u + 5. What is k*i(y) + s*g(y)?
-2*y**3 - 2
Let l(w) = -w. Let d(t) = -4*t + 1. Give -2*d(x) + 4*l(x).
4*x - 2
Let w(u) = 6*u + 1. Let j(i) = 5*i. Calculate 3*j(h) - 2*w(h).
3*h - 2
Let q(i) = i**2 - 25*i - 2. Let p(g) = -5*g**2 + 125*g + 11. Determine 4*p(m) + 22*q(m).
2*m**2 - 50*m
Let h(i) = -1. Let w(f) = f. Let g(z) = -2*z + 2. Let y(u) = g(u) + w(u). Suppose 2*d - 4*x - 5 = 3, -2*d + 5*x + 8 = 0. What is d*h(c) + y(c)?
-c - 2
Let o(v) = -2*v**3 + 10*v**2 + 3*v. Let t(h) = -h. Calculate o(z) + 2*t(z).
-2*z**3 + 10*z**2 + z
Let n(c) = 7*c**2 - 29*c - 9. Let l(i) = 3*i**2 - 14*i - 4. Calculate 5*l(w) - 2*n(w).
w**2 - 12*w - 2
Let c(a) = -19*a**3 - 5*a + 5. Let k(s) = -124*s**3 - 32*s + 32. Calculate 32*c(j) - 5*k(j).
12*j**3
Let w(n) = 3*n - 3. Let x(l) = -8*l + 8. Determine 11*w(t) + 4*x(t).
t - 1
Let g(y) = 5*y**2 + 3*y + 18. Let v(l) = 4*l**2 + 2*l + 18. What is 3*g(a) - 4*v(a)?
-a**2 + a - 18
Let j(k) = 10*k - 6. Let s be (33/9)/((-1)/3). Let b be 0 - 2*(-5 - -4). Let w(q) = 2*q - 1. What is b*j(v) + s*w(v)?
-2*v - 1
Let z(c) = 14*c**3 + 2*c**2 + 2*c - 2. Let q(i) = -183*i**3 - 27*i**2 - 27*i + 27. Give 2*q(p) + 27*z(p).
12*p**3
Let l(f) = -f**2 - f. Let a(c) = -c + 1. Let q be a(2). Let z(g) = 6*g**2 + 3*g. Determine q*z(h) - 5*l(h).
-h**2 + 2*h
Let d(r) = r**3 + 3*r**2 - 5*r - 2. Let n(f) = -2*f**2 + 3*f + 1. What is -3*d(o) - 5*n(o)?
-3*o**3 + o**2 + 1
Let o(t) = 7*t**3 + 6*t - 7. Let a(y) be the first derivative of -13*y**4/4 - 11*y**2/2 + 13*y - 3. Give -6*a(f) - 11*o(f).
f**3 - 1
Let b(u) = u**2 - u. Let f(w) = 0*w**3 + w**3 + 8*w**2 - 1 - 8*w**2 + 2*w**2. Calculate 2*b(h) - f(h).
-h**3 - 2*h + 1
Let x(r) = 4*r + 3. Let w(s) be the first derivative of -s**5/40 - s**4/12 + s**3/3 - 4. Let f(o) be the third derivative of w(o). Give 3*f(b) + 2*x(b).
-b
Let n(b) = 115*b + 8. Let w(z) = -29*z - 2. Calculate 2*n(f) + 9*w(f).
-31*f - 2
Let t(a) = 5*a + 7. Let z(h) = h + 1. Calculate t(i) - 4*z(i).
i + 3
Let w(r) = r**3 - 3*r - 2. Let g(j) = 5*j**3 - 15*j - 11. Let a be 3*2 + 40/(-10). What is a*g(z) - 11*w(z)?
-z**3 + 3*z
Let r(l) = -9*l**3 - 2*l - 2. Let o(b) = 117*b**3 + 27*b + 27. Calculate -2*o(y) - 27*r(y).
9*y**3
Let u(m) = -3*m**3 + 1. Let q(a) be the second derivative of -a**5/10 - a. What is 5*q(f) - 3*u(f)?
-f**3 - 3
Let s(h) = 3*h**2 + 5. Let o(i) = -i**2 - 2. Let r = -85 - -70. Determine r*o(n) - 6*s(n).
-3*n**2
Let d = 4 + -6. Let g(n) be the first derivative of -n**3/3 - n**2/2 + 195. Let p(j) = -3*j**2 - 2*j. What is d*g(y) + p(y)?
-y**2
Let g(k) = -42*k. Let o(c) = -14*c. Give -5*g(d) + 14*o(d).
14*d
Let m(i) = i**2 + 1. Let c(k) = -3*k**2 + 2*k. What is -c(b) - m(b)?
2*b**2 - 2*b - 1
Let x(r) be the second derivative of -r**2 + 4*r. Let b(k) = k**3 - 9. Give 2*b(v) - 9*x(v).
2*v**3
Let c(w) = w**2 + w + 1. Let l(p) = -8*p**2 - 3*p - 4. Let n(r) = -6*c(r) - l(r). Let b(h) = 2*h**2 - 3*h - 3. What is -4*b(f) + 5*n(f)?
2*f**2 - 3*f + 2
Let r(k) = 2*k**3 + 6*k**2 + 5*k + 5. Let g(o) = o**3 - o**2 - o - 1. Determine -5*g(c) - r(c).
-7*c**3 - c**2
Let n(w) = 5*w**3 - 4*w - 19. Let v(k) = -14*k**3 + 11*k + 56. Calculate 8*n(o) + 3*v(o).
-2*o**3 + o + 16
Let i(v) = 4*v**3 - 2*v**2 + 7*v + 4. Let d(p) = 21*p**3 - 11*p**2 + 36*p + 21. Calculate 2*d(k) - 11*i(k).
-2*k**3 - 5*k - 2
Let s(k) = 15*k**2 + 9. Suppose -u + 1 = 7. Let a(m) = 7*m**2 + 4. Give u*s(t) + 13*a(t).
t**2 - 2
Suppose 2*v = -0*v + 10. Let i(d) = 2*d**3 - 5*d - 5. Let q(w) = -3*w**3 + 7*w + 7. What is v*q(o) + 7*i(o)?
-o**3
Let l(v) = 2*v**2 + 3*v. Let x(d) = -3*d**2 - 4*d. Let m(y) = -4*l(y) - 3*x(y). Let f(a) = 3*a**3 - 3*a**2 + 2. Determine f(g) + 3*m(g).
3*g**3 + 2
Let v(a) = -9*a - 1. Let z(s) = -4*s. What is -3*v(u) + 7*z(u)?
-u + 3
Let c(t) = 8*t. Let n(j) = -j**2 + j. Calculate 2*c(p) - 16*n(p).
16*p**2
Suppose 0 = -2*r + 5 + 3. Suppose -2*c + 3*o = -11, c - 2*c + o = -r. Let n(b) = b - 4. Let y = -2 + -4. Let a(d) = -1. Calculate c*n(x) + y*a(x).
x + 2
Let k(w) = 2*w**2. Suppose 0 = 4*l - 4 - 4. Let x(v) = -9 + 9 - 5*v**2 + v**3. Give l*x(s) + 5*k(s).
2*s**3
Let y(i) = -2*i + 2*i + i**2 - i. Suppose 4*a + 3*d - 2 = 5, -4*d = 4*a - 8. Let g = a - 4. Let l(w) = 2*w**2 - 3*w. Give g*y(c) + l(c).
-c**2
Let u(o) = 2*o**3 - 31*o + 6*o**3 + 4 + 0*o**3 + 39*o. Let b(n) = -23*n**3 - 23*n - 11. What is -6*b(j) - 17*u(j)?
2*j**3 + 2*j - 2
Let s be (-2)/6 - 2/3. Let v be -1*((-3 - -3) + 1). Let t(w) = -w + 1. Let o(c) = 3 + 0 - 5. Determine s*o(p) + v*t(p).
p + 1
Let a(y) = y - 1. Let r(w) = 5*w - 4. Let x be 0/2 - (-10)/5. Let z(i) = 0*i**3 + 0*i**3 + 3 - 2*i**2 - 3*i + i**3. Let t be z(x). Calculate t*a(m) + r(m).
2*m - 1
Let x(p) = -5*p. Let v(t) = -11*t - 1. Let u = -18 - -9. Let o(g) = u*x(g) + 4*v(g). Let c(a) = a - 3. Give 4*c(r) - 3*o(r).
r
Let n(i) = 4*i - 2 + 0 - 4*i**2 + 0*i + i. Let c(w) = -3*w**2 + 4*w - 1. Determine 3*c(g) - 2*n(g).
-g**2 + 2*g + 1
Let k(f) be the second derivative of f**4/6 + 2*f**3/3 - f**2/2 + 10*f. Let l(o) = -2*o**2 - 3*o + 1. Calculate -2*k(i) - 3*l(i).
2*i**2 + i - 1
Let f(d) be the first derivative of -9*d**2/2 + 4*d - 3. Let n(o) = -o + 12. Let z be n(15). Let l(i) = 5*i - 2. Determine z*f(w) - 5*l(w).
2*w - 2
Let z(x) = x**2 - 7*x + 1. Let r be z(7). Let g(s) = s**3 + s. Let p(k) = -18*k**3 - 15*k. Calculate r*p(h) + 15*g(h).
-3*h**3
Let l(v) = -v**3 - v**2 - v + 1. Let s(i) = 4*i**3 + 13*i**2 + 5*i - 7. Give -6*l(o) - s(o).
2*o**3 - 7*o**2 + o + 1
Suppose 3*s + 1 = 7. Let z(w) = w + 1. Let a(f) = -f - 2. What is s*z(b) + a(b)?
b
Let s(z) = 4*z**2 - 10*z. Let v = 8 - 11. Let h(r) be the second derivative of 0*r**2 + r + 1/2*r**3 + 0 - 1/12*r**4. Determine v*s(w) - 10*h(w).
-2*w**2
Let d(h) = -5*h + 8. Let m(x) be the second derivative of x**3/3 - 2*x**2 - 2*x + 17. Give 3*d(r) + 7*m(r).
-r - 4
Let z(w) = -23*w**2 - 6*w - 17. Let d(j) = -8*j**2 - 7*j - 1. Let n(l) = -8*l**2 - 6*l - 2. Let b(v) = 4*d(v) - 5*n(v). Calculate 17*b(f) + 6*z(f).
-2*f**2 - 2*f
Let c(h) = -20*h**3 - 12*h**2 - 6*h + 2. Let i(u) = 7*u**3 + 4*u**2 + 2*u - 1. What is -6*c(s) - 17*i(s)?
s**3 + 4*s**2 + 2*s + 5
Let o(r) = 4*r + 3. Let f(y) = 2*y**2 - 2*y + 3. Let i(g) = -g**2. Let s(t) = f(t) + 3*i(t). Let c(m) be the first derivative of s(m). Give -5*c(x) - 3*o(x).
-2*x + 1
Let i(t) = t**2 + t + 1. Let s(d) = 4*d**2 + 5*d + 4. Let k(y) = -5*i(y) + s(y). Let f(z) = 5*z**2 + z + 5. Calculate f(j) + 4*k(j).
j**2 + j + 1
Let a(i) = -3*i + 2 + 2*i - 1. Suppose -x = -4*h - 6, 9 = -h + 4*x - 0. Let q(c) = 2*c - 6*c + 4 - 3. What is h*q(j) + 3*a(j)?
j + 2
Let z(v) = 8*v**2. Let f(r) = 9*r**2. Determine 2*f(t) - 3*z(t).
-6*t**2
Let y(q) = -3. Let s(p) = p + 2. Let v(i) = 4*s(i) + 5*y(i). Let o = 26 + -20. Let a(w) = -7*w + 13. Calculate o*a(h) + 11*v(h).
2*h + 1
Let d(x) = -5*x**2 + 6*x + 6. Let n(u) = -14*u**2 + 17*u + 17. What is -17*d(j) + 6*n(j)?
j**2
Let j(n) = 7*n**2 - 4*n + 8. Let z(f) = f**2 - f + 1. What is j(o) - 4*z(o)?
3*o**2 + 4
Let l(a) = a**2 - 3*a - 5. Let w(c) = -2*c**2 + 2*c + 6. What is -3*l(t) - 2*w(t)?
t**2 + 5*t + 3
Let d(x) = -x**2 - 5*x - 7. Let o(c) = c**2 + 4*c + 6. Let w = -5 - -11. Give w*o(g) + 5*d(g).
g**2 - g + 1
Let a(k) = -2*k - 17. Let b(y) = y + 8. Suppos