00*k - 255.
-5*(k - 17)*(k - 3)
Suppose 49*a**5 - 182*a**4 + 141*a**3 + 52*a**2 + 4*a = 0. Calculate a.
-1/7, 0, 2
Find u such that -11*u**5/5 + 61*u**4/5 + 36*u**3/5 - 36*u**2/5 = 0.
-1, 0, 6/11, 6
Let -2*i**3/3 - 29*i**2/3 - 92*i/3 - 28 = 0. Calculate i.
-21/2, -2
Find s such that -2*s**4/5 + 2*s**3/5 + 6*s**2/5 - 2*s/5 - 4/5 = 0.
-1, 1, 2
Factor 31*l**2 + 26*l - 5.
(l + 1)*(31*l - 5)
Solve 10*n**5/11 + 16*n**4/11 - 12*n**3/11 - 32*n**2/11 - 14*n/11 = 0 for n.
-1, 0, 7/5
Determine j, given that -276*j**5 - 8*j**4/3 + 552*j**3 + 16*j**2/3 - 276*j - 8/3 = 0.
-1, -2/207, 1
Factor 9*z**5/7 - 93*z**4/7 + 30*z**3/7.
3*z**3*(z - 10)*(3*z - 1)/7
Factor -r**2/4 - 121*r/4 + 93.
-(r - 3)*(r + 124)/4
Solve 2*k**2 - 16*k - 66 = 0.
-3, 11
Find r, given that -2*r**3/3 + 26*r**2 - 50*r + 74/3 = 0.
1, 37
Solve 4*c**4/3 - 8*c**3/3 = 0.
0, 2
Find t, given that -2*t**2 + 408*t + 410 = 0.
-1, 205
Factor 10*g**2/7 + 232*g/7 + 46/7.
2*(g + 23)*(5*g + 1)/7
Factor -4*t**3 + 936*t**2 - 73008*t + 1898208.
-4*(t - 78)**3
Let 2*b**4/7 - 36*b**3/7 + 34*b**2/7 = 0. Calculate b.
0, 1, 17
Factor -c**3/10 + 7*c**2/10 + 41*c/10 + 33/10.
-(c - 11)*(c + 1)*(c + 3)/10
What is j in 5*j**2/4 - 29335*j/2 + 172108445/4 = 0?
5867
Determine v, given that 3*v**3 - 454*v**2 + 149*v + 302 = 0.
-2/3, 1, 151
Suppose 3*s**3 + 120*s**2 + 1071*s - 2646 = 0. Calculate s.
-21, 2
Let 3*y**5/2 - 3*y**4/4 - 87*y**3/4 + 111*y**2/4 + 81*y/4 - 27 = 0. Calculate y.
-4, -1, 1, 3/2, 3
Find g, given that 4*g**2 + 36*g = 0.
-9, 0
Find u, given that u**4/7 + u**3/7 - 5*u**2/7 + 3*u/7 = 0.
-3, 0, 1
Factor -3*r**3 + 3*r**2 + 99*r + 189.
-3*(r - 7)*(r + 3)**2
Factor 3*d**2 - 369*d - 372.
3*(d - 124)*(d + 1)
Let 3*j**2/2 + 75*j/2 + 36 = 0. What is j?
-24, -1
Find p such that 4*p**4/3 - 40*p**3/3 + 44*p**2 - 48*p = 0.
0, 3, 4
Factor -c**2 - 128*c - 732.
-(c + 6)*(c + 122)
Find r, given that r**3 + 31*r**2 - 81*r - 495 = 0.
-33, -3, 5
Determine f, given that 2*f**3 + 14*f**2 - 36*f = 0.
-9, 0, 2
Determine a so that -8*a**5/15 + 14*a**4/5 - 14*a**3/5 + 8*a**2/15 = 0.
0, 1/4, 1, 4
Find c, given that -12*c**3/5 + 153*c**2/5 + 39*c/5 = 0.
-1/4, 0, 13
Factor 4*l**3/3 + 140*l**2/3 - 48*l.
4*l*(l - 1)*(l + 36)/3
Find w, given that w**3 + 15*w**2 = 0.
-15, 0
Factor -64*w**3 - 56*w**2 + 124*w - 40.
-4*(w + 2)*(2*w - 1)*(8*w - 5)
Let 4*g**2 + 1292*g = 0. What is g?
-323, 0
Find w such that -w**3/3 + 17*w**2/3 - 47*w/3 - 65/3 = 0.
-1, 5, 13
What is r in -2*r**5/25 - 24*r**4/25 - 2*r**3 + 12*r**2/5 + 232*r/25 + 144/25 = 0?
-9, -2, -1, 2
Suppose -3*w**3 + 93*w**2 + 1080*w = 0. Calculate w.
-9, 0, 40
Factor 2*m**2/3 + 136*m/3 + 210.
2*(m + 5)*(m + 63)/3
Suppose -3*n**5 - 33*n**4 - 90*n**3 - 30*n**2 + 93*n + 63 = 0. What is n?
-7, -3, -1, 1
Factor -2*z**3 + 4*z**2 + 40*z + 48.
-2*(z - 6)*(z + 2)**2
Determine i, given that 2*i**2/3 + 268*i/3 = 0.
-134, 0
Factor 3*h**2/4 + 7089*h + 16751307.
3*(h + 4726)**2/4
Determine u, given that 3*u**4/5 + u**3 - 2*u**2 - 4*u - 8/5 = 0.
-2, -1, -2/3, 2
Find m such that 24*m**4/7 + 136*m**3 + 626*m**2/7 + 78*m/7 = 0.
-39, -1/2, -1/6, 0
Factor w**4 + 2712*w**3 - 8142*w**2 + 8144*w - 2715.
(w - 1)**3*(w + 2715)
Determine d so that d**2/5 - d/5 - 2/5 = 0.
-1, 2
Suppose 5*n**2 + 25*n + 30 = 0. What is n?
-3, -2
Solve l**2/4 - 1963*l/2 + 3853369/4 = 0.
1963
Factor -4*k**3 - 64*k**2 - 61*k - 15.
-(k + 15)*(2*k + 1)**2
Let y**2/4 - 17*y/4 + 4 = 0. Calculate y.
1, 16
What is k in -4*k**2 - 2856*k - 509796 = 0?
-357
Factor 3*h**3/5 + 9*h**2 + 81*h/5 - 729/5.
3*(h - 3)*(h + 9)**2/5
Factor -15*y**3/4 - 567*y**2/4 + 57*y/2.
-3*y*(y + 38)*(5*y - 1)/4
Factor 5*c**2 - 460*c.
5*c*(c - 92)
Find u, given that 3*u**3/2 + 9675*u**2/2 + 19341*u/2 + 9669/2 = 0.
-3223, -1
Factor s**4/2 - 3*s**3 + 4*s**2 + 3*s - 9/2.
(s - 3)**2*(s - 1)*(s + 1)/2
Factor -100*x**3/3 + 9940*x**2 + 7968*x + 4784/3.
-4*(x - 299)*(5*x + 2)**2/3
Solve 4*k**2 - 27128*k + 45995524 = 0 for k.
3391
Factor -15*r**2 + 561*r + 936.
-3*(r - 39)*(5*r + 8)
Determine s, given that 21*s**5 + 93*s**4 + 99*s**3 - 57*s**2 - 120*s - 36 = 0.
-2, -1, -3/7, 1
Factor -u**3/3 - u**2/3.
-u**2*(u + 1)/3
Factor -2*j**3 - 1668*j**2 - 349440*j - 692224.
-2*(j + 2)*(j + 416)**2
What is l in 4*l**5 + 20*l**4 - 12*l**3 - 68*l**2 - 40*l = 0?
-5, -1, 0, 2
Determine y so that -147*y**3 - 525*y**2 - 264*y - 36 = 0.
-3, -2/7
Find g, given that -4*g**4 + 84*g**3 = 0.
0, 21
Suppose -5*n**2 + 780*n + 785 = 0. What is n?
-1, 157
Find r, given that 2*r**2/5 + 8*r - 88/5 = 0.
-22, 2
Factor -2*p**4/5 + 282*p**3 - 335472*p**2/5 + 27880832*p/5 - 224769024/5.
-2*(p - 232)**3*(p - 9)/5
Find h such that 5*h**4 + 60*h**3 + 210*h**2 + 260*h + 105 = 0.
-7, -3, -1
Determine z, given that 2*z**3/23 + 18720*z**2/23 + 58406400*z/23 + 60742656000/23 = 0.
-3120
Determine s, given that -2*s**3 - 2*s**2 = 0.
-1, 0
Determine d so that 2*d**4/19 - 330*d**3/19 + 13434*d**2/19 + 830*d - 82668/19 = 0.
-3, 2, 83
Determine g, given that -2*g**2/9 - 142*g/9 - 264 = 0.
-44, -27
Suppose -27*n**3 - 2883*n**2 + 3558*n - 648 = 0. What is n?
-108, 2/9, 1
Let b**5 + b**4 - 3*b**3 - 5*b**2 - 2*b = 0. What is b?
-1, 0, 2
Factor 3*r**3 + 33*r**2 + 57*r + 27.
3*(r + 1)**2*(r + 9)
Suppose -3*m**2 - 408*m - 804 = 0. What is m?
-134, -2
Factor -w**4/5 - 4*w**3/5 - 3*w**2/5.
-w**2*(w + 1)*(w + 3)/5
Find j, given that -4*j**2 - 340*j - 336 = 0.
-84, -1
What is s in 2*s**5/7 + 80*s**4/7 - 432*s**3/7 + 796*s**2/7 - 626*s/7 + 180/7 = 0?
-45, 1, 2
Let -w**5/5 + 11*w**4 - 159*w**3/5 + 157*w**2/5 - 52*w/5 = 0. Calculate w.
0, 1, 52
Factor -24*v**4 + 92*v**3 + 136*v**2 + 20*v.
-4*v*(v - 5)*(v + 1)*(6*v + 1)
Factor 4*y**2/7 + 56*y + 1372.
4*(y + 49)**2/7
Factor 4*g**3 - 2992*g**2 + 559504*g.
4*g*(g - 374)**2
Factor 3*h**2 + 360*h + 708.
3*(h + 2)*(h + 118)
Let 4*a**5/7 - 97*a**4/7 + 288*a**3/7 - 46*a**2 + 148*a/7 - 3 = 0. What is a?
1/4, 1, 21
Find r such that -r**3/2 - 471*r**2 - 5625*r/2 - 4212 = 0.
-936, -3
What is r in -5*r**4/4 + 26*r**3 + 291*r**2/4 - 433*r/2 - 46 = 0?
-4, -1/5, 2, 23
Let 5*n**5 + 40*n**4 + 120*n**3 + 170*n**2 + 115*n + 30 = 0. What is n?
-3, -2, -1
Factor k**2/3 + 80*k/3 + 1600/3.
(k + 40)**2/3
Factor 18*r**3 - 1418*r**2 + 1088*r + 312.
2*(r - 78)*(r - 1)*(9*r + 2)
Suppose -2*s**2 - 254*s - 500 = 0. What is s?
-125, -2
Factor 5*i**2 - 20*i + 15.
5*(i - 3)*(i - 1)
What is k in -2*k**2 + 11852*k - 17558738 = 0?
2963
Determine r, given that 2*r**4 + 356*r**3 + 21240*r**2 + 431644*r + 410758 = 0.
-59, -1
Let -2*n**4/7 - 114*n**3/7 + 236*n**2/7 = 0. Calculate n.
-59, 0, 2
Factor 5*c**5 - 10*c**4 + 10*c**2 - 5*c.
5*c*(c - 1)**3*(c + 1)
Factor -163*h**2/4 - 9619*h/4 - 59/2.
-(h + 59)*(163*h + 2)/4
Factor -5*v**2 + 515*v + 520.
-5*(v - 104)*(v + 1)
Let 3*l**5 - 4*l**4 - 11*l**3 + 16*l**2 - 4*l = 0. What is l?
-2, 0, 1/3, 1, 2
Factor 2*q**5 - 44*q**3 - 48*q**2 + 90*q.
2*q*(q - 5)*(q - 1)*(q + 3)**2
Suppose r**5/4 + 15*r**4/4 + 25*r**3/2 + 35*r**2/2 + 45*r/4 + 11/4 = 0. Calculate r.
-11, -1
Factor -u**4/6 - 9*u**3 - 205*u**2/6 - 42*u - 50/3.
-(u + 1)**2*(u + 2)*(u + 50)/6
Factor 6*d**4 + 64*d**3 - 22*d**2.
2*d**2*(d + 11)*(3*d - 1)
Let -2*g**2/7 + 128/7 = 0. Calculate g.
-8, 8
Factor c**5 + 18*c**4 + 61*c**3 - 180*c**2 + 100*c.
c*(c - 1)**2*(c + 10)**2
Factor 4*g**3 - 68*g**2 + 360*g - 576.
4*(g - 8)*(g - 6)*(g - 3)
Let -5*z**2 + 355*z - 690 = 0. What is z?
2, 69
Factor -3*u**3 + 48*u**2 + 255*u - 300.
-3*(u - 20)*(u - 1)*(u + 5)
Factor -2*y**3/5 - 2*y**2/5 + 2*y - 6/5.
-2*(y - 1)**2*(y + 3)/5
Factor 2*s**3/19 + 68*s**2/19 + 66*s/19.
2*s*(s + 1)*(s + 33)/19
Factor 3*a**3 - 267*a**2 - 270*a.
3*a*(a - 90)*(a + 1)
Factor s**3/7 + 83*s**2/7 - 12*s.
s*(s - 1)*(s + 84)/7
Factor 5*x**2/6 - 665*x/6 - 575.
5*(x - 138)*(x + 5)/6
Factor 2*g**2 - 1064*g + 141512.
2*(g - 266)**2
Factor -21*h**3 - 12*h**2 + 21*h + 12.
-3*(h - 1)*(h + 1)*(7*h + 4)
Let 3*o**4/7 + 3*o**3/7 = 0. Calculate o.
-1, 0
Factor 4*s**3 + 3236*s**2 - 6484*s + 3244.
4*(s - 1)**2*(s + 811)
Factor h**3/4 + 222*h**2 + 198021*h/4 + 196249/2.
(h + 2)*(h + 443)**2/4
Factor 2*a**2/5 + 1976*a/5 - 1978/5.
2*(a - 1)*(a + 989)/5
Suppose -v**2 - 1946*v - 946729 = 0. What is v?
-973
Factor 5*y**2 + 1355*y + 1350.
5*(y + 1)*(y + 270)
Solve 243*b**4/2 + 97254*b**3 + 280569*b**2/2 + 47946*b + 4794 = 0.
-799, -1, -2/9
Factor 2*r**5 + 10*r**4 + 18*r**3 + 14*r**2 + 4*r.
