 = 0.
-1, 3
Let n(y) = 9 - 3 - 2 - 5. Let i(z) = z**2. Let m be 1/2*(-64)/8. Let b(o) = m*n(o) - 4*i(o). Factor b(q).
-4*(q - 1)*(q + 1)
Let g = -743 + 746. What is o in o**2 - o**g + 0 + 0*o + 1/4*o**4 = 0?
0, 2
Let v(x) = x**2 + 16*x - 50. Let g be v(-19). Factor 9*u - 10*u**2 - 20*u - g + 5*u**3 + 6*u + 17.
5*(u - 2)*(u - 1)*(u + 1)
Let t = 54854/9 + -6088. Let b = -38/9 + t. Suppose -2/3*c**2 - 8/3*c - b = 0. What is c?
-2
Let g(c) be the first derivative of -c**5/35 + c**4/7 - 8*c**2/7 + 16*c + 10. Let q(u) be the first derivative of g(u). Factor q(f).
-4*(f - 2)**2*(f + 1)/7
Let k(h) be the third derivative of -h**9/16632 + h**8/9240 + h**7/4620 - h**6/1980 + 13*h**3/6 - 6*h**2. Let x(p) be the first derivative of k(p). Factor x(r).
-2*r**2*(r - 1)**2*(r + 1)/11
Let d = 12/401 + 329/2406. Factor 1/6*q**2 - 1/6*q**5 + 1/6*q**3 + 0 - d*q**4 + 0*q.
-q**2*(q - 1)*(q + 1)**2/6
Let a be 36 + -42 + ((-6)/9)/(10/(-96)). Factor -a*i**2 + 28/5*i - 98/5.
-2*(i - 7)**2/5
Factor -36/23 - 14/23*p - 2/23*p**3 + 20/23*p**2.
-2*(p - 9)*(p - 2)*(p + 1)/23
Let d(q) be the second derivative of 18*q - 10*q**3 - 90*q**2 + 0 - 5/12*q**4. Suppose d(v) = 0. Calculate v.
-6
Factor -140*n + 66*n**2 - 7/3*n**3 + 104/3.
-(n - 26)*(n - 2)*(7*n - 2)/3
Suppose -4*p = 5*k - 116, 5*k = 4*p - 16 - 60. Suppose 2*v + 2*v = p. Factor 10*g**4 + 13*g**4 - 2*g**4 + 9*g**5 - v*g**4 + 6*g**3.
3*g**3*(g + 1)*(3*g + 2)
Let p(q) be the first derivative of 6/7*q**2 + 4/21*q**3 - 16/7*q + 36. Factor p(m).
4*(m - 1)*(m + 4)/7
Let w be 66/(-40)*724/(-543) - 2. Find g, given that 29*g**2 + 64/5 + w*g**5 - 13/5*g**4 + 19/5*g**3 + 176/5*g = 0.
-1, 8
Let q(n) be the third derivative of -n**6/180 - n**5/30 - n**4/12 + 2*n**3/3 + 5*n**2. Let u(f) be the first derivative of q(f). Suppose u(t) = 0. Calculate t.
-1
Suppose 0*w - 1/2*w**3 + 0 - 7*w**2 = 0. Calculate w.
-14, 0
Let d(y) = 55*y**2 - 165*y + 140. Let h(l) = l**3 + 55*l**2 - 166*l + 140. Let g(f) = -6*d(f) + 5*h(f). Factor g(o).
5*(o - 7)*(o - 2)**2
Let l(u) = 5*u**2 + 29*u + 48. Let n(x) = 36*x**2 + 204*x + 339. Let q(h) = -15*l(h) + 2*n(h). Factor q(b).
-3*(b + 2)*(b + 7)
Suppose -4*l = 11*d - 8 - 8, 0 = 3*d - 5*l - 47. Find f, given that -2/9*f**d + 0 - 2/9*f**5 + 8/9*f**2 + 4/3*f**3 - 16/9*f = 0.
-2, 0, 1, 2
Let k(u) be the first derivative of -2*u**6/21 + 12*u**5/35 + 4*u**4/7 - 64*u**3/21 + 64*u/7 + 53. Let k(h) = 0. Calculate h.
-2, -1, 2
Let a(j) be the first derivative of -3 + 1/25*j**5 + 0*j**4 + 0*j + 1/5*j**2 - 1/5*j**3. Solve a(w) = 0.
-2, 0, 1
Let y(c) be the second derivative of -c**4/48 - c**3/6 - 3*c**2/8 - 25*c - 1. Determine b, given that y(b) = 0.
-3, -1
Find x such that -1/5*x**2 - 1/5 + 2/5*x = 0.
1
Let n(t) be the first derivative of -64*t**5/15 - 116*t**4/3 - 36*t**3 - 79*t**2/6 - 13*t/6 + 10. Factor n(x).
-(2*x + 13)*(4*x + 1)**3/6
Let f be (4/8)/((-2)/(-1)). Determine y, given that 0*y + 0 - f*y**3 + 1/4*y**2 = 0.
0, 1
Let o(z) be the second derivative of z**4/60 + z**3/3 + 12*z**2/5 - 93*z. Factor o(d).
(d + 4)*(d + 6)/5
Let p(n) be the second derivative of n**10/15120 - n**9/3780 + n**7/630 - n**6/360 + n**4/6 - 8*n. Let t(b) be the third derivative of p(b). Factor t(y).
2*y*(y - 1)**3*(y + 1)
Let t(q) be the first derivative of -7*q**4/20 + 6*q**3/5 - 4*q**2/5 + 23. Solve t(z) = 0 for z.
0, 4/7, 2
Solve -2*v**4 - 24*v**3 + 396*v - 396*v = 0.
-12, 0
Factor 2*m**4 - 48*m**3 + 205*m**3 - 79*m**3 - 80*m**2.
2*m**2*(m - 1)*(m + 40)
Suppose -4 = 2*x - 6*x. Let h be 5/(-1)*(0 - x). Factor 0*o**3 - o**3 - 3*o**3 - 4*o**2 + 2 + o**h + 3*o + 2*o**2.
(o - 2)*(o - 1)*(o + 1)**3
Let g(v) be the second derivative of 0 + 24*v**2 + 4*v + 22*v**4 - 48*v**3 + 49/10*v**6 + 126/5*v**5. Factor g(r).
3*(r + 2)**2*(7*r - 2)**2
Let y(r) be the second derivative of -r**6/8 - 111*r**5/40 + 15*r**4/16 + 862*r. Determine m, given that y(m) = 0.
-15, 0, 1/5
Factor 3/5*x**3 + 0 - 3/5*x + 0*x**2.
3*x*(x - 1)*(x + 1)/5
Factor -2/15*l**2 + 0 + 2/15*l.
-2*l*(l - 1)/15
Let w = 15 + -4. Suppose -f = 3*n - 7, -2*n + f - w = -14. Suppose -1/5*q**n - 16/5 - 8/5*q = 0. Calculate q.
-4
Let t(w) = w**3 - 6*w**2 + 6*w - 5. Let v be t(5). Suppose 0 = -v*q + 3*q - 6. Factor o**2 + 4 - 2*o**2 + 6*o + 4*o**q - o**2.
2*(o + 1)*(o + 2)
Let o(l) be the first derivative of -4 + l**2 - l + 2/3*l**3 + 2/5*l**5 - 7/6*l**4. Let w(c) be the first derivative of o(c). Factor w(s).
2*(s - 1)**2*(4*s + 1)
Let i(q) be the first derivative of -4/3*q**2 - 4/3*q**3 + 3 + 0*q**4 + 0*q + 4/15*q**5. Factor i(y).
4*y*(y - 2)*(y + 1)**2/3
Suppose 4*p = -4*b - p - 1, -p - 6 = -5*b. Solve 4*h - b + 2 - 3*h**2 - 3 + h**2 = 0 for h.
1
Suppose -570*d**3 - 3716*d**2 + 5532*d**2 - 7776*d**2 - 5*d**4 - 5710*d**2 - 5135*d**2 - 15680 - 31920*d = 0. Calculate d.
-56, -1
Let g(p) be the first derivative of 3*p**5/70 + 3*p**4/28 - 3*p**2/14 - 8*p + 12. Let u(h) be the first derivative of g(h). Factor u(s).
3*(s + 1)**2*(2*s - 1)/7
Let o(t) be the third derivative of 2*t**7/21 - 3*t**6/5 + 17*t**5/15 - 8*t**3/3 + t**2 - 248. Factor o(w).
4*(w - 2)*(w - 1)**2*(5*w + 2)
Let n(q) be the third derivative of -q**4/2 - 16*q**3/3 + q**2 + 15. Let o be n(-3). Find h, given that 48 - 27*h**2 - 12*h - 33/4*h**3 - 3/4*h**o = 0.
-4, 1
Let r(l) = -2*l**2 + 25*l + 16. Suppose -a + 4 = -9. Let w be r(a). Determine o, given that -3/5*o**2 - 2/5*o + 1/5*o**w + 0 + 1/5*o**5 + 3/5*o**4 = 0.
-2, -1, 0, 1
Suppose v = 5*s - 19, -5*v - 11 = s + 2*s. Let k be (-2)/s - 361/(-114). Factor -1/2 - 2*c**2 - k*c.
-(c + 1)*(4*c + 1)/2
Let q(f) be the first derivative of 1/9*f**2 - 4/9*f**3 + 12 + 4/15*f**5 + 4/9*f**4 + 0*f - 1/3*f**6. Let q(m) = 0. Calculate m.
-1, 0, 1/3, 1
Let l(r) be the first derivative of -1/5*r**2 + 11 + 1/10*r**4 - 2/25*r**5 + 0*r + 2/15*r**3. Factor l(k).
-2*k*(k - 1)**2*(k + 1)/5
Let j be ((-1)/((-2)/(-18)))/(-1). Let z be (-16)/(-6) + 3/j. Factor 32*k + 4*k**5 - 12*k**z - 201*k**4 + 205*k**4 - 16*k**2 - 12*k**3.
4*k*(k - 2)*(k - 1)*(k + 2)**2
Let x(r) be the first derivative of -r**6/75 + r**4/10 + 2*r**3/15 + r - 19. Let p(l) be the first derivative of x(l). Factor p(k).
-2*k*(k - 2)*(k + 1)**2/5
Let s(l) be the first derivative of l**6/18 + l**5/15 - l**4/12 - l**3/9 - 635. Suppose s(g) = 0. Calculate g.
-1, 0, 1
Let f(b) be the first derivative of -2*b**7/35 + 19*b**6/30 - 11*b**5/5 + 3*b**4/2 - 10*b**2 + 18. Let o(g) be the second derivative of f(g). Factor o(p).
-4*p*(p - 3)**2*(3*p - 1)
Factor -4/3*u**2 - 1/3*u**3 + 0 - u.
-u*(u + 1)*(u + 3)/3
Let n(b) be the third derivative of b**7/735 - b**6/210 - 2*b**5/35 + 2*b**4/21 + 32*b**3/21 + 36*b**2 + 3. What is x in n(x) = 0?
-2, 2, 4
Suppose -57 + 17 = -8*c. Determine z so that 3*z**2 - 2*z**3 + 2*z**3 - 4*z**3 + c*z**3 = 0.
-3, 0
Let p = 582 - 578. Let c(y) be the first derivative of 2/9*y**2 + 0*y + 7/6*y**4 + 5/27*y**6 + 22/27*y**3 + 34/45*y**5 + p. Factor c(o).
2*o*(o + 1)**3*(5*o + 2)/9
Let z = 36 - 54. Let v be z/(-4) + ((-3)/(-2))/3. Factor 4/13*a + 0 + 18/13*a**3 + 10/13*a**4 + 2/13*a**v + 14/13*a**2.
2*a*(a + 1)**3*(a + 2)/13
Let r = -332 + 334. Let g(d) be the first derivative of 0*d - 1/6*d**3 - 1/4*d**r - 4. Factor g(z).
-z*(z + 1)/2
Let w(u) be the second derivative of -u**5/16 - 55*u**4/6 - 865*u**3/24 - 215*u**2/4 + 14*u - 2. Factor w(l).
-5*(l + 1)**2*(l + 86)/4
Let x(o) = -7*o - 27. Let g be x(-5). Solve -2*m**2 - 8 - g*m**2 - 20*m**3 - 42*m**4 + 38*m**4 - 28*m - 26*m**2 = 0.
-2, -1
Let c(w) = 14*w**3 + 52*w**2 + 80*w + 24. Let d(t) = t**2 - t - 1. Let q(i) = c(i) + 8*d(i). Determine n, given that q(n) = 0.
-2, -2/7
Let u(l) be the first derivative of -14 - 4/27*l**3 + 4/9*l**2 - 4/9*l. Factor u(m).
-4*(m - 1)**2/9
Factor 0 + 5/3*v**2 + 2*v + 1/3*v**3.
v*(v + 2)*(v + 3)/3
Suppose -11*p + 33 = -33. Suppose 0 = -p*v - 1 + 19. Factor -4/9*y - 2/9*y**2 + 2/3*y**v + 0.
2*y*(y - 1)*(3*y + 2)/9
Let t(f) be the third derivative of -1/42*f**7 + 0*f - 1/8*f**6 + 16*f**2 - 1/4*f**5 + 0 + 0*f**3 - 5/24*f**4. Factor t(r).
-5*r*(r + 1)**3
Let z(n) be the second derivative of 5*n**4/12 - 35*n**3/2 + 50*n**2 - 79*n. Factor z(d).
5*(d - 20)*(d - 1)
Suppose 7*s = s + 18. Let h be 4/(-6) - (s + 254/(-66)). Solve -2/11 + 0*u + h*u**2 = 0.
-1, 1
Let a(r) be the third derivative of r**8/84 - 22*r**7/105 + 19*r**6/30 + 43*r**5/15 - 10*r**4