**4 - 170*j**3 - 1480*j**2 - 2470*j - 1155 = 0.
-21, -11, -1
Solve 5*j**5 - 95*j**4 + 90*j**3 = 0.
0, 1, 18
Find h, given that 52*h**5 + 76*h**4 + 24*h**3 = 0.
-1, -6/13, 0
Factor -6*r**4/7 + 12*r**3/7 + 48*r**2/7.
-6*r**2*(r - 4)*(r + 2)/7
Find i such that -2*i**4/5 - 16*i**3/5 - 48*i**2/5 - 64*i/5 - 32/5 = 0.
-2
Factor -3*m**3/8 - 15*m**2/8 + 9*m/4.
-3*m*(m - 1)*(m + 6)/8
Factor -2*t**5/5 + 6*t**4/5 - 4*t**3/5.
-2*t**3*(t - 2)*(t - 1)/5
Factor 4*n**3/5 + 332*n**2/5 + 1116*n - 11340.
4*(n - 7)*(n + 45)**2/5
Let o**5/2 - 57*o**4 - 2*o**3 + 228*o**2 = 0. What is o?
-2, 0, 2, 114
Find v, given that -v**2/2 + 73*v/8 - 9/4 = 0.
1/4, 18
Solve 8*d**3 + 60*d**2 + 108*d + 40 = 0.
-5, -2, -1/2
Factor -10*i**2 - 185*i - 255.
-5*(i + 17)*(2*i + 3)
Factor -2*t**5/9 - 4*t**4/3 + 16*t**3/3 + 160*t**2/9 - 224*t/3 + 64.
-2*(t - 2)**3*(t + 6)**2/9
Determine l, given that -4*l**2 - 976*l = 0.
-244, 0
Let q**2/5 - 340*q + 144500 = 0. Calculate q.
850
Solve -t**2/2 + 4517*t/2 = 0 for t.
0, 4517
Suppose 3*v**2 + 54*v + 96 = 0. Calculate v.
-16, -2
Suppose -7*q**5/2 - 75*q**4/2 - 94*q**3 + 30*q**2 = 0. What is q?
-6, -5, 0, 2/7
Let -18*y**4/5 - 420*y**3 - 12250*y**2 = 0. What is y?
-175/3, 0
Factor 4*x**2 + 3864*x.
4*x*(x + 966)
What is o in 3*o**2/5 + 12*o - 63/5 = 0?
-21, 1
Factor -a**2/3 - 56*a/3 - 784/3.
-(a + 28)**2/3
Find o, given that -2*o**5/11 + 4*o**4 + 3166*o**3/11 - 75728*o**2/11 - 160768*o/11 - 81920/11 = 0.
-40, -1, 32
Factor 7*s**3/4 + 3071*s**2/4 - 439*s/2.
s*(s + 439)*(7*s - 2)/4
Factor 3*y**2 - 372*y + 369.
3*(y - 123)*(y - 1)
Suppose -4*f**2/7 - 40*f/7 - 96/7 = 0. What is f?
-6, -4
Factor 3*g**2/4 + 219*g/2 + 15987/4.
3*(g + 73)**2/4
Factor 2*b**3/13 + 20*b**2/13 + 54*b/13 + 36/13.
2*(b + 1)*(b + 3)*(b + 6)/13
What is j in -4*j**2 + 26336*j - 43349056 = 0?
3292
Determine u so that -2*u**4/5 - 64*u**3 - 15356*u**2/5 - 40896*u - 816642/5 = 0.
-71, -9
What is s in 5*s**2 - 315*s + 310 = 0?
1, 62
Suppose j**3/7 + 2*j**2/7 - 3*j + 18/7 = 0. What is j?
-6, 1, 3
Solve 4*n**2/9 + 152*n/9 - 320/9 = 0 for n.
-40, 2
Solve 3*n**4 - 57*n**3 - 3*n**2 + 57*n = 0 for n.
-1, 0, 1, 19
Suppose 4*u**3 + 40*u**2 + 128*u + 128 = 0. What is u?
-4, -2
Determine n so that -n**3 + 6*n**2 + 40*n = 0.
-4, 0, 10
Find q, given that 25*q**4 + 3055*q**3 - 8706*q**2 + 5492*q - 1000 = 0.
-125, 2/5, 2
Factor -2*k**2 - 56*k + 58.
-2*(k - 1)*(k + 29)
Factor -3*d**2/4 + 9*d - 105/4.
-3*(d - 7)*(d - 5)/4
What is c in 5*c**4 - 185*c**3 + 525*c**2 - 515*c + 170 = 0?
1, 34
Suppose -2*w**3/13 - 50*w**2/13 - 24*w/13 + 576/13 = 0. Calculate w.
-24, -4, 3
Factor -2*i**2/5 - 1334*i/5.
-2*i*(i + 667)/5
Factor -16*n**3 - 44*n**2 + 76*n - 16.
-4*(n - 1)*(n + 4)*(4*n - 1)
Factor 3*n**2/5 - 3138*n/5 - 6288/5.
3*(n - 1048)*(n + 2)/5
Find z such that -z**3/9 + 4*z**2/9 + 16*z/9 - 64/9 = 0.
-4, 4
Factor y**4/11 + 13*y**3/11.
y**3*(y + 13)/11
Factor -2*x**3/5 + 46*x**2/5.
-2*x**2*(x - 23)/5
Let -4530*a**3 + 815*a**2 - 10*a = 0. What is a?
0, 2/151, 1/6
Factor -2*a**3/7 + 2*a**2/7 + 24*a/7.
-2*a*(a - 4)*(a + 3)/7
Factor 2*u**4/7 - 26*u**3/7 + 60*u**2/7.
2*u**2*(u - 10)*(u - 3)/7
Factor t**2/7 + 88*t/7 + 1936/7.
(t + 44)**2/7
Factor x**2/3 + 146*x/3 - 49.
(x - 1)*(x + 147)/3
Determine i, given that -100*i**5/3 - 400*i**4/3 - 188*i**3 - 328*i**2/3 - 64*i/3 = 0.
-8/5, -1, -2/5, 0
Factor 576*x**3/7 - 912*x**2/7 + 201*x/7 - 12/7.
3*(3*x - 4)*(8*x - 1)**2/7
Factor -4*i**2 + 1000*i - 996.
-4*(i - 249)*(i - 1)
Factor 5*g**2/3 + 5303*g/3 - 2122/3.
(g + 1061)*(5*g - 2)/3
Factor 3*y**5 + 3*y**4 - 36*y**3 + 12*y**2 + 48*y.
3*y*(y - 2)**2*(y + 1)*(y + 4)
Factor -v**3 - 408*v**2 - 43956*v - 470448.
-(v + 12)*(v + 198)**2
Suppose -4*m**5/3 - 16*m**4 - 64*m**3 - 328*m**2/3 - 84*m - 24 = 0. Calculate m.
-6, -3, -1
Determine l, given that 5*l**2 - 790*l - 1600 = 0.
-2, 160
Factor 32*w**3/9 + 97*w**2/9 + 67*w/9 + 2/9.
(w + 1)*(w + 2)*(32*w + 1)/9
Factor 3*b**4/2 - 3*b**3 - 24*b**2 + 48*b.
3*b*(b - 4)*(b - 2)*(b + 4)/2
Find c such that -198*c**2/7 + 4*c + 16/7 = 0.
-2/9, 4/11
Factor -2*l**4/3 + 156*l**3 - 466*l**2/3.
-2*l**2*(l - 233)*(l - 1)/3
Suppose -z**4 + 9*z**3 - 26*z**2 + 24*z = 0. Calculate z.
0, 2, 3, 4
Determine t so that -4*t**2 - 52*t - 144 = 0.
-9, -4
Factor 2*u**5 + 10*u**4 - 28*u**3 - 248*u**2 - 496*u - 320.
2*(u - 5)*(u + 2)**3*(u + 4)
Factor u**2/5 + 11*u/5 + 2.
(u + 1)*(u + 10)/5
What is t in -t**4/6 - 8*t**3 - 263*t**2/3 + 200*t - 625/6 = 0?
-25, 1
Let p**3/2 + p**2/2 - p/2 - 1/2 = 0. What is p?
-1, 1
Factor 2*q**2 - 576*q + 41472.
2*(q - 144)**2
Let 64786401*v**2/2 - 16098*v + 2 = 0. What is v?
2/8049
Factor -5*h**5 + 315*h**4 - 6375*h**3 + 40625*h**2.
-5*h**2*(h - 25)**2*(h - 13)
Factor -10*y**3 - 516*y**2 + 738*y - 212.
-2*(y - 1)*(y + 53)*(5*y - 2)
Determine q so that -q**4 - 115*q**3 - 3123*q**2 + 10915*q + 13924 = 0.
-59, -1, 4
Factor z**5 - 17*z**4/3 + 10*z**3 - 6*z**2 - z/3 + 1.
(z - 3)*(z - 1)**3*(3*z + 1)/3
Factor -4*r**2/9 - 8*r/9 + 20/3.
-4*(r - 3)*(r + 5)/9
Solve s**4 - 68*s**3 - s**2 + 68*s = 0 for s.
-1, 0, 1, 68
Solve -2*x**3/9 - 22*x**2/9 = 0.
-11, 0
Suppose 2*t**4/3 - 4*t**3/3 - 6*t**2 + 4*t/3 + 16/3 = 0. Calculate t.
-2, -1, 1, 4
Factor 2*d**2/3 + 812*d/3 - 814/3.
2*(d - 1)*(d + 407)/3
Let 10*v**4/9 + 94*v**3/9 + 92*v**2/3 + 296*v/9 + 80/9 = 0. Calculate v.
-5, -2, -2/5
Factor -r**2 - 200*r + 201.
-(r - 1)*(r + 201)
Suppose -2*i**4 - 14*i**3 - 34*i**2 - 34*i - 12 = 0. What is i?
-3, -2, -1
Factor 22*r**3/5 + 224*r**2/5 + 238*r/5 + 36/5.
2*(r + 1)*(r + 9)*(11*r + 2)/5
Solve -12*y**5/5 - 728*y**4/5 - 3148*y**3 - 145008*y**2/5 - 468288*y/5 + 34560 = 0.
-25, -12, 1/3
Factor -4*o**3/3 + 3*o**2 + o/3 - 2.
-(o - 2)*(o - 1)*(4*o + 3)/3
Find v such that -5*v**2 - 10*v + 15 = 0.
-3, 1
Determine t, given that 4*t**3 - 52*t**2 + 140*t + 196 = 0.
-1, 7
Suppose -5*o**2 - 5680*o - 1613120 = 0. Calculate o.
-568
Factor 26450*y**2/7 - 5520*y/7 + 288/7.
2*(115*y - 12)**2/7
Suppose -5*d**2/3 - 2290*d/3 + 4600/3 = 0. Calculate d.
-460, 2
Solve -2*f**3 + 3444*f**2 + 3446*f = 0.
-1, 0, 1723
Suppose -2*v**2/7 - 192*v/7 + 206 = 0. Calculate v.
-103, 7
Let 2*r**5 + 22*r**4 - 374*r**3 + 938*r**2 - 588*r = 0. What is r?
-21, 0, 1, 2, 7
Factor -4*j**2 + 2016*j - 254016.
-4*(j - 252)**2
Factor c**3 + 2*c**2 - 3*c.
c*(c - 1)*(c + 3)
Find r, given that 9*r**2 + 3188*r + 708 = 0.
-354, -2/9
Determine k, given that k**2 + k = 0.
-1, 0
Factor -2*d**3/7 + 36*d**2/7 + 50*d/7 - 228/7.
-2*(d - 19)*(d - 2)*(d + 3)/7
Let -z**2/7 - 164*z/7 - 69 = 0. Calculate z.
-161, -3
Factor 2*a**4/5 - 136*a**3/5 + 1868*a**2/5 + 15096*a/5 + 24642/5.
2*(a - 37)**2*(a + 3)**2/5
Determine s, given that -3*s**5/4 - 3*s**4/2 + 3*s**3 + 6*s**2 = 0.
-2, 0, 2
Factor 2*j**2 - 5718*j.
2*j*(j - 2859)
Suppose 2*k**2 - 380*k - 382 = 0. Calculate k.
-1, 191
Factor -3*h**4 + 9*h**2 + 6*h.
-3*h*(h - 2)*(h + 1)**2
Factor -f**5/7 + 4*f**3/7 + 2*f**2/7 - 3*f/7 - 2/7.
-(f - 2)*(f - 1)*(f + 1)**3/7
What is g in -144*g**2 - 148*g - 4 = 0?
-1, -1/36
Factor -3*t**5 + 15*t**4 - 30*t**3 + 30*t**2 - 15*t + 3.
-3*(t - 1)**5
Solve 3*z**4/2 - 63*z**3 - 129*z**2/2 = 0 for z.
-1, 0, 43
Solve -3*z**3/4 + 6*z**2 - 57*z/4 + 9 = 0.
1, 3, 4
Find v such that -7*v**5/5 - 19*v**4/5 - 2*v**3 = 0.
-2, -5/7, 0
Factor 2*s**2/5 + 34*s/5 - 168/5.
2*(s - 4)*(s + 21)/5
Solve 5*w**4/11 + 898*w**3/11 - 3095*w**2/11 + 2924*w/11 - 732/11 = 0.
-183, 2/5, 1, 2
Suppose h**2 + 50*h - 104 = 0. What is h?
-52, 2
Factor z**3 + 1203*z**2 + 482403*z + 64481201.
(z + 401)**3
Determine j so that 2*j**3/3 - 44*j**2 - 854*j/3 - 240 = 0.
-5, -1, 72
Find u, given that -7*u**5/3 - 37*u**4/3 - 22*u**3 - 44*u**2/3 - 8*u/3 = 0.
-2, -1, -2/7, 0
Factor 5*v**4 + 45*v**3 - 260*v**2.
5*v**2*(v - 4)*(v + 13)
Factor -2*b**2/13 - 56*b/13 - 360/13.
-2*(b + 10)*(b + 18)/13
Factor 20*w**4 + 135835*w**3 + 307507800*w**2 + 232014629440*w - 58022878720.
5*(w + 2264)**3*(4*w - 1)
Factor -2*q**5 - 4*q**4 + 16*q**3 + 32*q**2 - 32*q - 64.
-2*(q - 2)**2*(q + 2)**3
Find d such that -30*d**5 - 62*d**4 + 8*d**2 = 0.
-2, -2/5, 0, 1/3
Let -5*n**4 - 2285*n**3 - 4515*n**2 + 15905*n - 9100 = 0. Calculate n.
-455, -4, 1
Find z such that -2*z**3/11 + 4*z**2 - 256*z/11 + 448/11 = 0.
4, 14
Factor -3*r**4 + 162*r**3 - 2343*r**2 + 4212*r - 2028.
-3*(r - 26)**2*(r - 1)**2
Suppose 2*v**4/3 - 34*v**3/3 + 72*v**2 - 608*v/3 + 640/3 = 0. Wha