 Calculate f*g(v) - 2*x(v).
-2*v**3 - v**2 + 1
Let t(o) = -o + 8. Let h(f) = -f + 9. Determine -2*h(l) + 3*t(l).
-l + 6
Let q(b) = 4*b**2 + 2*b. Let k = -6 - -8. Let w(r) be the first derivative of -r**3/3 - r**2/2 + r + 21. Calculate k*w(u) + q(u).
2*u**2 + 2
Let r(k) = 3*k**2. Let d(m) = -m**3 - 8*m**2. Let v = -21 - -29. What is v*r(c) + 3*d(c)?
-3*c**3
Suppose 0*d + 3*d = 27. Let o(v) = 5*v**3 + 6*v**2 + 3*v + 4. Let u(m) = 11*m**3 + 13*m**2 + 7*m + 9. Calculate d*o(k) - 4*u(k).
k**3 + 2*k**2 - k
Let h(n) = -1 - 3*n - 6*n**2 + 0*n - 2. Let l(k) = -114*k - 5*k**2 + 0 - 110*k + 222*k - 2. Calculate -2*h(c) + 3*l(c).
-3*c**2
Let z(u) = 2*u - 1. Let n(m) = -3*m - 2*m + 3*m + 1. What is 6*n(c) + 7*z(c)?
2*c - 1
Let m(v) = -4*v**3 + 100*v**2 - 13*v + 13. Let b(a) = -2*a**3 + 50*a**2 - 6*a + 6. What is -13*b(p) + 6*m(p)?
2*p**3 - 50*p**2
Let v(u) = -8*u + 1. Let o(k) = 8*k - 2. Calculate 2*o(f) + 3*v(f).
-8*f - 1
Let h(x) = -3*x**2 + 11*x. Let o(z) = -6*z**2 + 21*z. Determine -5*h(i) + 3*o(i).
-3*i**2 + 8*i
Let l(x) = -x - 1. Let y(o) = -o**2 - 5*o - 7. Let q(k) = -5*l(k) + y(k). Suppose 3*a + 2*z = -7, -4*a + 5*z = 2*z - 19. Let s(c) = -1. Give a*q(u) - 2*s(u).
-u**2
Let p(t) = 19*t**3 - 7*t**2 + 11*t**3 - 33*t**3 + 10*t. Let m(z) = -z**3 - 2*z**2 + 3*z. Calculate 7*m(k) - 2*p(k).
-k**3 + k
Let q(y) = -y - 1. Let b(f) = -5*f - 3. Suppose 0*u + 2*u = -4*l + 24, -3*l - 4*u + 28 = 0. Suppose h = l - 5. Give h*b(r) + 4*q(r).
r - 1
Let p(i) be the first derivative of -3*i**4/4 + 20*i**3/3 + 17*i**2/2 + 17*i - 19. Let y(u) = -u**3 + 7*u**2 + 6*u + 6. What is 6*p(o) - 17*y(o)?
-o**3 + o**2
Let l(q) = -41*q**2 + 4*q - 4. Let x(w) = 10*w**2 - w + 1. Determine -2*l(u) - 9*x(u).
-8*u**2 + u - 1
Let p(r) = 4. Let o(n) = 4*n**2 + 12. Give 4*o(v) - 12*p(v).
16*v**2
Let j be 6/4 + (-1)/2. Let c(u) = -u**2 + 6*u + 8. Let f = 1 + 5. Let o(d) = -d - 1. Calculate f*o(t) + j*c(t).
-t**2 + 2
Let k(y) = -12*y. Let r(x) = -13*x. Determine 7*k(w) - 6*r(w).
-6*w
Let m = -33 + 28. Let f(t) = 6*t - 2. Let q(o) = 7*o - 2. Calculate m*f(l) + 4*q(l).
-2*l + 2
Let y(l) = -2*l + 1 + 3*l + 6*l. Let s be (0 + 2)*2/4. Let r(d) = -2*d - d + s + 9*d. Determine 5*r(q) - 4*y(q).
2*q + 1
Let z(k) be the second derivative of -5*k**3/6 + k**2 - 5*k. Let f(o) = 6*o - 3. Give -2*f(r) - 3*z(r).
3*r
Suppose -4*i - 3 = 5. Let d(c) = 8*c. Let s(n) = 3*n. Let j(x) = -x. Let h be (1/1)/(5/(-85)). Let w(t) = h*j(t) - 6*s(t). What is i*d(b) - 14*w(b)?
-2*b
Let r(t) = t**3 + 1. Let o(m) = -5*m**3 - 2. Calculate -2*o(y) - 4*r(y).
6*y**3
Let m(o) = 10*o + 5. Let d(z) = -z - 1. Suppose p + 3*p = -4*x - 32, -x = -4*p - 2. Calculate x*d(s) - m(s).
-4*s + 1
Let j(b) = 0*b + 8*b - 3*b + 4. Let i(p) = -p - 1. Suppose 5*v = t + 8, 3*v = 6*t - t - 4. Suppose t*z = 3*h + 20, z + h = 2*h + 8. Give z*i(u) + j(u).
u
Let q(w) = -2*w**2 - 2. Let v(a) = -10*a**2 - 10. Suppose 0 = 2*k + x + 34, -3*k = -6*k - x - 50. Calculate k*q(z) + 3*v(z).
2*z**2 + 2
Suppose 0 = y + 2 + 1. Let v(c) = -2*c + 7. Let q(f) = -f + 6. Let b(a) = -3*q(a) + 2*v(a). Let l(s) = s + 5. Give y*l(d) - 4*b(d).
d + 1
Let z(a) = -a**2 + a + 2. Let c(g) = -2*g**2 + 3*g + 5. Let p(x) = -2*x**2 + 3*x + 5. Let o(t) = 4*c(t) - 5*p(t). Determine -2*o(q) - 5*z(q).
q**2 + q
Let p(s) = 4*s**2 - 14*s + 1. Let z(b) = -3*b**2 + 13*b - 1. Determine 5*p(u) + 6*z(u).
2*u**2 + 8*u - 1
Let y(d) = d**2 + 7*d - 55. Let c(h) = h**2 + 5*h - 37. Determine -7*c(q) + 5*y(q).
-2*q**2 - 16
Let j(t) = -4*t**3 + 6*t**2 - 7*t + 6. Let d(s) be the second derivative of 10/3*s**3 + 11/20*s**5 + s - 17/2*s**2 + 0 - 17/12*s**4. Give 6*d(o) + 17*j(o).
-2*o**3 + o
Let b(n) = n**3 + 3*n**2 - 3*n + 2. Let x(c) = -c**3 - 4*c**2 + 4*c - 3. Let v be -2*33/18 - (-4)/(-12). What is v*x(i) - 6*b(i)?
-2*i**3 - 2*i**2 + 2*i
Let x(i) = 2*i**2 + 3*i - 3. Let m = -74 + 81. Let p(n) = 5*n**2 + 7*n - 7. Give m*x(o) - 3*p(o).
-o**2
Let l(c) = -14*c - 5. Let w be l(-2). Let v(j) = -w - 9*j + 23. Let d(n) = 11*n - 7. Let z(a) = -1. Let m(y) = -2*d(y) + 14*z(y). What is 5*m(o) - 12*v(o)?
-2*o
Let c(p) = -4*p**3 - 7*p**2 + 6*p. Let a(k) = -7*k**3 - 14*k**2 + 11*k. Calculate -6*a(w) + 11*c(w).
-2*w**3 + 7*w**2
Let o be ((-44)/33)/(2/6). Let w(d) = 2*d**3 + 4*d**2 + 4. Let k = -9 - -4. Let h(v) = -5*v**2 + 167*v**3 - 5 + 0*v**2 - 169*v**3. What is k*w(x) + o*h(x)?
-2*x**3
Let j(b) = 42 + b + 33 - 76. Let a(w) = w - 2. What is 5*a(i) - 8*j(i)?
-3*i - 2
Let i(h) = -2*h**2 + 1. Let c(g) = -g**2 - 5*g + 8. Let o(b) = -c(b) + 2*i(b). Let y(q) = 8*q**2 - 14*q + 17. Determine 11*o(x) + 4*y(x).
-x**2 - x + 2
Let d(w) = 4*w**3 + w**2 - 4*w. Let m(r) = -5*r**3 - 2*r**2 + 5*r. Calculate 3*d(v) + 2*m(v).
2*v**3 - v**2 - 2*v
Let h(t) = -t**2 - 2*t + 2. Let q(n) = 9*n**2 + 17*n - 17. Suppose -25 = -9*u + 4*u, -4*y + 5*u - 49 = 0. Calculate y*q(l) - 51*h(l).
-3*l**2
Let r(a) = -a**2 - a. Let s(f) = f**3 + 5*f**2 + 3*f - 1. Determine 3*r(g) + s(g).
g**3 + 2*g**2 - 1
Let i(z) = -z**3 + z**2. Let v(a) = 40*a**3 - 30*a**2. Give -60*i(g) - 2*v(g).
-20*g**3
Let v(r) = -r**3 + r**2 + 4. Let x(d) = -2*d**3 + 3*d**2 + 9. Let k(u) = 9*v(u) - 4*x(u). Let b(p) = -2*p**2 - 5*p**2 + 0*p**3 - 2*p**3. Give -3*b(q) + 7*k(q).
-q**3
Let o(d) = d + 3. Suppose g = 2 - 0. Let y = -4 + g. Let u(p) = -6*p - 16. Determine y*u(n) - 11*o(n).
n - 1
Let l(m) = -3*m + 7. Suppose 4*r - 6*r - 10 = 0. Let y be (1 + 1)/(-1) + 5. Let t(z) = -8 + 0*z + y*z + 0*z + z. What is r*t(n) - 6*l(n)?
-2*n - 2
Let c(s) = 5*s**2 - 11*s + 3. Let w(d) = 2*d**2 - 4*d + 1. Suppose -49 = -8*b - 17. Let i(a) = -a**3 + 6*a**2 - 8*a + 4. Let k be i(5). What is b*c(q) + k*w(q)?
-2*q**2 + 1
Let a(c) = -4 - 8*c + 3 + 7. Suppose 4*h = -5*y + h + 12, 0 = -y - 4*h - 1. Let t(m) = 1 - 2 - 3*m + y. Give 5*a(s) - 14*t(s).
2*s + 2
Let v(l) = 8*l**2 + 3*l - 2. Let j(n) = -15*n**2 - 5*n + 3. Determine -3*j(q) - 5*v(q).
5*q**2 + 1
Let b(r) = -19*r - 6. Let m(u) = 4*u + 1. Determine 2*b(v) + 11*m(v).
6*v - 1
Suppose -2*d - 3 = -3*d. Suppose -23 = -n - 2*n - f, 0 = 4*n - d*f - 9. Let x(j) = -3 - 2*j + 1 + 9*j - 8*j. Let i(b) = b + 3. Calculate n*x(m) + 4*i(m).
-2*m
Let i(z) = -5*z - 4. Let s(w) = 6*w + 5. Suppose 0 = -0*v - v - 5*h - 11, -v - 2*h = 2. Calculate v*i(p) + 3*s(p).
-2*p - 1
Let d(f) = -f**2 + 6*f. Let i(j) = -5*j**2 + 31*j. Determine -11*d(w) + 2*i(w).
w**2 - 4*w
Let q(k) = 2*k - 1 - 3 - 1. Let t(c) = 1. Suppose -5*s + 2 = 7. What is s*q(f) - 6*t(f)?
-2*f - 1
Let a(o) = -7*o**3 - 37*o**2 + 5*o. Let b(j) = -4*j**3 - 18*j**2 + 3*j. Give 3*a(q) - 5*b(q).
-q**3 - 21*q**2
Let i(a) = -11*a + 5. Suppose 5*q = q - 3*p + 67, -5*q + 45 = -4*p. Let l = q + -9. Let b(s) = -5*s + 2. Give l*i(u) - 9*b(u).
u + 2
Let a(n) = n**3 + n**2 - n - 1. Let c(o) = 8*o**3 + 4*o**2 - 2*o - 6. Let l(r) = -r**2 + r. Let t(x) = c(x) - 4*l(x). Determine -6*a(w) + t(w).
2*w**3 + 2*w**2
Let y(r) = -3*r**3 - 6*r + 6. Let c(x) = 4*x**3 + 7*x - 7. Let j = 24 - 17. Determine j*y(p) + 6*c(p).
3*p**3
Let k(w) = w**3 + 2*w**2 - 3*w. Let t(n) = -n**3 - 5*n**2 + 7*n. Let m be (6 + -7)*(-8 + 12/4). Give m*k(p) + 2*t(p).
3*p**3 - p
Let k(i) = -i + 1. Let d(r) = 19*r - 8. Give -d(c) - 6*k(c).
-13*c + 2
Let a(o) = 14*o**2 + 12*o + 12. Let g(t) = t**2 + t - 3. Let x(k) = -k**2 - k + 2. Let u(n) = 3*g(n) + 4*x(n). What is -a(m) - 12*u(m)?
-2*m**2
Let y(l) = -2*l**2 + 3. Let h(r) = -5*r**2 + r + 7. Let g(f) = 3*h(f) - 7*y(f). Let x(s) = 2*s + 8*s - 5*s**2 + 3*s. Let d = -4 + 2. Determine d*x(m) + 9*g(m).
m**2 + m
Let z(a) = 5*a**2 + 4*a - 30. Let q(x) = 4*x**2 + 3*x - 31. Calculate -3*q(n) + 2*z(n).
-2*n**2 - n + 33
Let t(r) = 3*r. Let w(f) = -f + 4. Let b be w(6). Let k(j) = -j**2 + 2*j. Determine b*t(z) + 3*k(z).
-3*z**2
Suppose u - 5 + 1 = 0. Let z = u - 3. Let a(h) = 1. Let s(t) = -2*t**2 - 2*t + 3. Calculate z*s(p) - a(p).
-2*p**2 - 2*p + 2
Let g(w) = -4*w - 5. Let a(u) = 2*u + 0 - 13*u - 14. Let n(v) = v**3 + 11*v**2 + v + 5. Let i be n(-11). Calculate i*a(d) + 17*g(d).
-2*d - 1
Suppose 0 = -5*c - 18 - 12. Let x(j) = j**2 + j. Let v(d) = -4*d**2 - 6*d - 1. What is c*x(u) - v(u)?
-2*u**2 + 1
Let n(j) = j**2 + 5*j + 5. Suppose 2*w - 22 = -3*f - 9, -5*w - 5 = 0. Let t(b) = 7 + 18*b + 4 - 13 + 3*b**2 + 20. Give f*t(h) - 18*n(h).
-3*h**2
Let v(x) = -3*x + 1. Let t(d) = d. Suppose -2*s + 2 = -2. Suppose -5*a + 14 =