*y**3 + 2105*y**2 + 2090*y - 4200.
5*(y - 1)*(y + 2)*(y + 420)
Factor -o**4 + 8*o**3 - 13*o**2 + 6*o.
-o*(o - 6)*(o - 1)**2
Suppose 2*h**5/15 - 2*h**4/15 - 6*h**3/5 + 2*h**2/15 + 8*h/3 + 8/5 = 0. What is h?
-2, -1, 2, 3
Solve -25*p**4 + 235*p**3 + 1110*p**2 + 820*p - 520 = 0.
-2, 2/5, 13
Determine i, given that 27*i**4/2 - 363*i**3 + 621*i**2/2 + 39*i = 0.
-1/9, 0, 1, 26
Factor s**4 + 10*s**3 - 36*s**2 - 648*s - 1728.
(s - 8)*(s + 6)**3
Let 3*z**2 + 48*z + 165 = 0. Calculate z.
-11, -5
Suppose p**4 - 3*p**3 - 24*p**2 + 28*p + 48 = 0. Calculate p.
-4, -1, 2, 6
Let -9*s**5/5 - 39*s**4/5 + 21*s**3 + 15*s**2 - 96*s/5 - 36/5 = 0. Calculate s.
-6, -1, -1/3, 1, 2
Factor -k**3/8 - 7*k**2/2 + k/8 + 7/2.
-(k - 1)*(k + 1)*(k + 28)/8
Let 2*b**3/13 - 798*b**2/13 + 79998*b/13 - 79202/13 = 0. What is b?
1, 199
Factor -8*b**3 - 108*b**2 - 336*b + 196.
-4*(b + 7)**2*(2*b - 1)
What is q in q**5 + 10*q**4 + 31*q**3 + 30*q**2 = 0?
-5, -3, -2, 0
Let -2*d**5/15 - 8*d**4/15 + 22*d**3/15 + 44*d**2/5 + 48*d/5 = 0. What is d?
-3, -2, 0, 4
Find l such that 4*l**2/3 + 216*l + 644/3 = 0.
-161, -1
Factor -4*g**3/21 + 10*g**2/7 - 2*g/3.
-2*g*(g - 7)*(2*g - 1)/21
Factor -2*f**5 + 32*f**4 - 104*f**3 + 96*f**2.
-2*f**2*(f - 12)*(f - 2)**2
Find f such that 25*f**4 - 60*f**3 + 20*f**2 = 0.
0, 2/5, 2
Factor v**5/5 - 7*v**4/5 + 11*v**3/5 - v**2.
v**2*(v - 5)*(v - 1)**2/5
Determine p so that 5*p**3 - 345*p**2 + 4930*p + 5280 = 0.
-1, 22, 48
Let v**4 - 213*v**3 + 1047*v**2 - 1459*v + 624 = 0. Calculate v.
1, 3, 208
Determine k so that -k**2/3 - 88*k/3 - 1936/3 = 0.
-44
Solve 2*x**2/9 + 4738*x/9 - 1580/3 = 0 for x.
-2370, 1
Solve s**5 + 9*s**4 + 17*s**3 - 25*s**2 - 42*s + 40 = 0 for s.
-5, -4, -2, 1
Factor -2*d**2/7 - 12*d - 82/7.
-2*(d + 1)*(d + 41)/7
What is h in 2*h**2/5 + 13*h/5 + 6/5 = 0?
-6, -1/2
Find j such that 2*j**5 + 24*j**4/7 - 50*j**3/7 + 12*j**2/7 = 0.
-3, 0, 2/7, 1
Suppose 4*j**4 + 24*j**3 - 64*j**2 = 0. What is j?
-8, 0, 2
Suppose -6*o**2/7 + 128*o/7 + 88/7 = 0. What is o?
-2/3, 22
Factor -57*y**3 - 231*y**2/2 - 60*y - 3/2.
-3*(y + 1)**2*(38*y + 1)/2
Find v such that -2*v**4/5 - 22*v**3/5 + 6*v**2/5 + 62*v/5 - 44/5 = 0.
-11, -2, 1
Suppose 31*a**2 + 100*a - 96 = 0. Calculate a.
-4, 24/31
Factor -3*y**5/4 - 3*y**4/4 + 9*y**3/4 + 15*y**2/4 + 3*y/2.
-3*y*(y - 2)*(y + 1)**3/4
Let b**5 - 321*b**4 + 25920*b**3 - 25600*b**2 = 0. Calculate b.
0, 1, 160
Suppose 3*v**5 + 42*v**4 + 201*v**3 + 438*v**2 + 444*v + 168 = 0. Calculate v.
-7, -2, -1
Solve 2*u**2/13 + 6144*u/13 + 12280/13 = 0 for u.
-3070, -2
Suppose 3*f**5 - 27*f**3 + 12*f**2 + 36*f = 0. Calculate f.
-3, -1, 0, 2
Suppose 25*z**3 - 1120*z**2 + 875*z + 220 = 0. Calculate z.
-1/5, 1, 44
Factor -a**4/2 - 3*a**3 + 16*a.
-a*(a - 2)*(a + 4)**2/2
Factor q**5 + 29*q**4 + 286*q**3 + 1126*q**2 + 1505*q + 637.
(q + 1)**2*(q + 7)**2*(q + 13)
Suppose -5*p**2 + 1960*p + 1965 = 0. What is p?
-1, 393
Factor -4*v**3 + 304*v**2 + 940*v + 632.
-4*(v - 79)*(v + 1)*(v + 2)
Factor 5*b**3 - 120*b**2 + 225*b - 110.
5*(b - 22)*(b - 1)**2
Determine b, given that 2*b**4/11 + 28*b**3/11 + 8*b**2 + 80*b/11 = 0.
-10, -2, 0
Suppose -2*m**2/3 + 180*m - 538/3 = 0. What is m?
1, 269
Let 5*g**5 + 130*g**4 + 1200*g**3 + 4480*g**2 + 5120*g = 0. Calculate g.
-8, -2, 0
Factor o**3/4 - 11*o**2/4 + 9*o - 9.
(o - 6)*(o - 3)*(o - 2)/4
Factor 2*t**4/11 - 6*t**3/11 + 8*t/11.
2*t*(t - 2)**2*(t + 1)/11
Let 3*l**4 - 21*l**3 - 117*l**2 + 1029*l - 1470 = 0. Calculate l.
-7, 2, 5, 7
Solve -28*b**2 + 1532*b + 440 = 0 for b.
-2/7, 55
Determine r so that -12*r**5 - 177*r**4/7 + 318*r**3/7 + 708*r**2/7 + 72*r/7 = 0.
-2, -3/28, 0, 2
Let -20*w**3 + 55*w**2 + 95*w + 20 = 0. Calculate w.
-1, -1/4, 4
Find o such that 4*o**4 + o**3 - 28*o**2 - 31*o - 6 = 0.
-2, -1, -1/4, 3
Suppose -9*m**2/2 + 6*m - 3/2 = 0. Calculate m.
1/3, 1
Solve -4*v**5/9 - 56*v**4/3 - 244*v**3 - 1008*v**2 - 1296*v = 0 for v.
-18, -3, 0
Let c**3 + 315*c**2 + 24963*c + 24649 = 0. What is c?
-157, -1
Determine s, given that 3*s**2/4 + 183*s/4 - 189/2 = 0.
-63, 2
Factor 2*s**2 + 3924*s + 1924722.
2*(s + 981)**2
Let 2*i**4/5 - 18*i**3/5 - 54*i**2/5 + 378*i/5 + 972/5 = 0. Calculate i.
-3, 6, 9
Solve 2*q**4 + 114*q**3 + 634*q**2 + 1134*q + 612 = 0.
-51, -3, -2, -1
Suppose 5*j**3/2 + 165*j**2/2 + 775*j/2 - 945/2 = 0. Calculate j.
-27, -7, 1
Determine m, given that 2*m**5 - 38*m**4 + 206*m**3 - 314*m**2 - 208*m + 352 = 0.
-1, 1, 4, 11
Let -4*r**5/3 + 56*r**4/3 - 28*r**3 - 176*r**2/3 + 400*r/3 - 64 = 0. What is r?
-2, 1, 2, 12
Determine x so that 2*x**3/7 - 10*x**2/7 + 16*x/7 - 8/7 = 0.
1, 2
Find a such that a**2/5 + 4*a + 51/5 = 0.
-17, -3
Determine l, given that -6*l**4/11 + 64*l**3/11 - 208*l**2/11 + 256*l/11 - 96/11 = 0.
2/3, 2, 6
Factor 2*u**3/13 + 88*u**2/13 - 90*u/13.
2*u*(u - 1)*(u + 45)/13
Find v such that -2*v**3/3 + 6*v**2 + 24*v = 0.
-3, 0, 12
Suppose -g**3/9 + 13*g**2/9 + 56*g - 828 = 0. Calculate g.
-23, 18
Factor -15*c**2/2 - 303*c/2 - 30.
-3*(c + 20)*(5*c + 1)/2
Solve -h**2/3 - 4*h/3 + 5/3 = 0.
-5, 1
Factor -2*v**4 - 26*v**3 - 108*v**2 - 184*v - 112.
-2*(v + 2)**3*(v + 7)
Determine z so that 5*z**5 + 135*z**4 + 565*z**3 + 305*z**2 - 570*z - 440 = 0.
-22, -4, -1, 1
Suppose -4*a**5 - 10160*a**4 - 10322560*a**3 - 5243860480*a**2 - 1331940561920*a - 135325161091072 = 0. Calculate a.
-508
Factor 4*p**2 - 2580*p + 5144.
4*(p - 643)*(p - 2)
Factor v**4/2 + 15*v**3/2 - 3*v**2/2 - 43*v/2 + 15.
(v - 1)**2*(v + 2)*(v + 15)/2
Let -x**5 + x**4 + 3*x**3 - x**2 - 2*x = 0. Calculate x.
-1, 0, 1, 2
Solve 3*g**4/2 + 45*g**3 - 3*g**2/2 - 45*g = 0 for g.
-30, -1, 0, 1
Factor -5*v**4 - 80*v**3 - 435*v**2 - 900*v - 540.
-5*(v + 1)*(v + 3)*(v + 6)**2
What is h in 2*h**4/7 + 2*h**3 + 10*h**2/7 - 62*h/7 - 60/7 = 0?
-5, -3, -1, 2
Determine q so that 2*q**3 - 174*q**2 + 342*q - 170 = 0.
1, 85
Let 5*w**3 - 290*w**2 + 565*w - 280 = 0. What is w?
1, 56
Let 4*u**5 + 4*u**4 - 83*u**3 - 4*u**2 + 59*u + 20 = 0. Calculate u.
-5, -1/2, 1, 4
Suppose -32*h**5 - 8176*h**4 + 12334*h**3 - 526*h**2 - 3086*h - 514 = 0. Calculate h.
-257, -1/4, 1
Factor 2*k**4/5 - 2*k**3/5 - 6*k**2/5 + 2*k - 4/5.
2*(k - 1)**3*(k + 2)/5
Suppose 8*a**4/3 + 46*a**3/3 + 76*a**2/3 + 26*a/3 - 4 = 0. Calculate a.
-3, -2, -1, 1/4
Suppose -l**5/6 - l**4/2 + l**3 + 5*l**2/3 - 7*l/2 + 3/2 = 0. Calculate l.
-3, 1
Find v, given that -3*v**4/4 + 107*v**3 - 283*v**2/4 - 71*v/2 = 0.
-1/3, 0, 1, 142
Let -4*u**2 - 920*u - 52900 = 0. Calculate u.
-115
Suppose 15*h**4 - 1165*h**3 - 5250*h**2 - 6540*h - 1640 = 0. What is h?
-2, -1/3, 82
Factor 10*s**4 - 195*s**3 - 310*s**2 - 105*s.
5*s*(s - 21)*(s + 1)*(2*s + 1)
Solve u**4/3 + 7*u**3/3 + 5*u**2/3 - 7*u/3 - 2 = 0 for u.
-6, -1, 1
Factor -5*b**2 - 45*b - 90.
-5*(b + 3)*(b + 6)
Factor -5*h**4 + 55*h**3 - 210*h**2 + 340*h - 200.
-5*(h - 5)*(h - 2)**3
Determine a, given that 5*a**3 + 5475*a**2 + 1998375*a + 243135625 = 0.
-365
What is t in 3*t**4/7 + 639*t**3/7 + 33699*t**2/7 - 35631*t/7 - 68694/7 = 0?
-107, -1, 2
Determine h, given that 4*h**3 + 10*h**2 + 8*h + 2 = 0.
-1, -1/2
Factor 3*c**2/7 + 3*c/7.
3*c*(c + 1)/7
Factor d**4/4 + 7*d**3/4 + 15*d**2/4 + 13*d/4 + 1.
(d + 1)**3*(d + 4)/4
Factor -2*m**3 - 154*m**2 - 300*m.
-2*m*(m + 2)*(m + 75)
Find l such that -l**4/4 - 2*l**3 + 39*l**2/4 + 135*l/2 = 0.
-9, -5, 0, 6
Determine j so that -5*j**4 - 35*j**3 - 70*j**2 - 40*j = 0.
-4, -2, -1, 0
Factor -l**5/7 + 5*l**4/7 - 4*l**3/7 - 16*l**2/7 + 32*l/7 - 16/7.
-(l - 2)**3*(l - 1)*(l + 2)/7
Factor -3*y**3 + 9*y**2.
-3*y**2*(y - 3)
Factor -2*v**3/15 + 4*v**2/5 + 10*v/3 + 12/5.
-2*(v - 9)*(v + 1)*(v + 2)/15
Solve -5*v**5 + 273*v**4 - 3805*v**3 + 2079*v**2 + 1458*v = 0.
-2/5, 0, 1, 27
Factor -3*z**2/4 - 2670*z - 2376300.
-3*(z + 1780)**2/4
Factor -3*f**4/7 + 24*f**3/7 + 222*f**2/7 - 1080*f/7 - 6075/7.
-3*(f - 9)**2*(f + 5)**2/7
Factor 2*h**3 - 44*h**2 + 306*h - 648.
2*(h - 9)**2*(h - 4)
Factor f**2/3 - 2*f/3 - 80/3.
(f - 10)*(f + 8)/3
Let -2*v**4/5 + 6*v**3/5 + 108*v**2/5 - 224*v/5 = 0. What is v?
-7, 0, 2, 8
Solve u**4/3 - 2*u**3 + 3*u**2 + 4*u/3 - 4 = 0.
-1, 2, 3
Factor 2*b**3/3 + 20*b**2/3 - 2*b/3 - 20/3.
2*(b - 1)*(b + 1)*(b + 10)/3
Suppose -16*t**5/5 + 126*t**4/5 - 224*t**3/5 - 158*t**2/5 + 48*t + 32/5 = 0. Calculate t.
-1, -1/8, 1, 4
Factor 3*o**2/8 - 27*o/4 - 54.
3*(o - 24)*(o + 6)/8
Factor -3*a**4/2 - 222*a**3 - 9384*a**2 - 83232*a.
-3*