, 2
Factor 2*b**4/11 + 288*b**3/11 + 12852*b**2/11 + 124848*b/11 - 2387718/11.
2*(b - 9)*(b + 51)**3/11
Determine c, given that 3*c**2 - 108*c - 111 = 0.
-1, 37
Factor -n**4 - 48*n**3 + 50*n**2 + 48*n - 49.
-(n - 1)**2*(n + 1)*(n + 49)
Factor a**5/2 + 3*a**4/2 + a**3 - a**2 - 3*a/2 - 1/2.
(a - 1)*(a + 1)**4/2
Factor -q**5 + 2*q**4 + 15*q**3 + 4*q**2 - 20*q.
-q*(q - 5)*(q - 1)*(q + 2)**2
Factor 25*j**2/2 + 5*j - 3/2.
(5*j - 1)*(5*j + 3)/2
Factor 2*m**2 + 48*m.
2*m*(m + 24)
Factor -y**4/8 - 11*y**3/4 - 19*y**2/2 - 9*y.
-y*(y + 2)**2*(y + 18)/8
Let 5*u**3 - 35*u**2 - 200*u - 220 = 0. Calculate u.
-2, 11
Find l such that -25*l**3 - 140*l**2 + 460*l - 160 = 0.
-8, 2/5, 2
Factor 26*j**2/11 - 116*j/11.
2*j*(13*j - 58)/11
Suppose -5*o**4 - 455*o**3/3 + 3010*o**2/3 - 600*o = 0. Calculate o.
-36, 0, 2/3, 5
Factor -l**4/4 + 9*l**3/4 + 27*l**2/4 - 329*l/4 + 147/2.
-(l - 7)**2*(l - 1)*(l + 6)/4
Solve -6*b**3 - 3*b**2 + 96*b + 48 = 0 for b.
-4, -1/2, 4
Determine s, given that 232*s**2 + 932*s + 16 = 0.
-4, -1/58
Determine l, given that 2*l**5/13 + 110*l**4 + 256324*l**3/13 + 253468*l**2/13 - 256326*l/13 - 254898/13 = 0.
-357, -1, 1
Suppose 2*h**2/3 - 62*h/3 + 20 = 0. What is h?
1, 30
Factor 4*r**2/3 - 32*r + 92/3.
4*(r - 23)*(r - 1)/3
Factor 4*m**2 + 460*m - 464.
4*(m - 1)*(m + 116)
Suppose 2*r**2 - 18*r - 20 = 0. What is r?
-1, 10
Factor 1849*b**4 - 3870*b**3 + 348*b**2 - 8*b.
b*(b - 2)*(43*b - 2)**2
Factor -s**4/2 + 103*s**3/2 - 200*s**2 + 198*s.
-s*(s - 99)*(s - 2)**2/2
Factor 3*w**2/5 + 1671*w/5 - 1674/5.
3*(w - 1)*(w + 558)/5
Factor -v**2 + 5490*v - 7535025.
-(v - 2745)**2
What is r in -20*r**5 + 77*r**4 + 554*r**3 - 1727*r**2 - 324*r + 180 = 0?
-5, -2/5, 1/4, 3, 6
Solve 2*g**4/11 + 38*g**3/11 + 32*g**2/11 - 72*g/11 = 0.
-18, -2, 0, 1
Suppose 2*w**5/13 - 32*w**4/13 - 340*w**3/13 - 1008*w**2/13 - 1134*w/13 - 432/13 = 0. Calculate w.
-3, -1, 24
Determine l so that -3*l**3 - 74*l**2 - 480*l - 288 = 0.
-12, -2/3
Suppose 2*m**5 + 32*m**4 + 56*m**3 - 4*m**2 - 58*m - 28 = 0. Calculate m.
-14, -1, 1
Let 3*q**4 + 9*q**3 - 111*q**2 + 99*q + 216 = 0. What is q?
-8, -1, 3
Find r such that -4*r**4/3 + 8*r**3 - 16*r**2 + 40*r/3 - 4 = 0.
1, 3
Solve -10*t**2/7 - 102*t/7 - 20/7 = 0.
-10, -1/5
Factor -l**3 - 81*l**2 + l + 81.
-(l - 1)*(l + 1)*(l + 81)
Suppose 3*n**4/7 - 39*n**3/7 + 15*n**2 + 21*n = 0. What is n?
-1, 0, 7
Find i such that 2*i**4/21 - 8*i**3/21 + 10*i**2/21 - 4*i/21 = 0.
0, 1, 2
Factor -2*d**3 - 15*d**2 + 38*d.
-d*(d - 2)*(2*d + 19)
Let -5*h**4 + 40*h**3 - 120*h**2 + 160*h - 80 = 0. What is h?
2
Solve -5*i**3 - 360*i**2 - 6480*i = 0 for i.
-36, 0
Factor 4*v**5 - 76*v**4.
4*v**4*(v - 19)
Factor 2*x**3 - 36*x**2 + 192*x - 320.
2*(x - 10)*(x - 4)**2
What is h in 2*h**3/9 + 50*h**2/9 + 94*h/9 + 46/9 = 0?
-23, -1
Solve -5*y**3 - 95*y**2 + 100*y = 0.
-20, 0, 1
Let -5*k**4 - 415*k**3 - 11340*k**2 - 98000*k + 109760 = 0. What is k?
-28, 1
What is f in 4*f**5/9 + 32*f**4/9 + 68*f**3/9 - 56*f**2/9 - 112*f/3 - 32 = 0?
-3, -2, 2
Factor 3*w**2/5 + 9*w/5 - 6.
3*(w - 2)*(w + 5)/5
Let 5*p**2/3 - 15*p - 560/3 = 0. What is p?
-7, 16
Let 4*y**4 + 108*y**3 + 780*y**2 + 676*y = 0. Calculate y.
-13, -1, 0
Factor -g**4 - 28*g**3 - 192*g**2 + 112*g + 784.
-(g - 2)*(g + 2)*(g + 14)**2
What is d in -2*d**2 - 16*d + 418 = 0?
-19, 11
Factor -3*f**4/2 + 75*f**3 - 531*f**2/2 - 16800*f - 75264.
-3*(f - 32)**2*(f + 7)**2/2
Factor -h**2 - 9*h.
-h*(h + 9)
Factor w**2 - 694*w + 120409.
(w - 347)**2
Factor -t**3/6 + 5*t**2/6 + 4*t.
-t*(t - 8)*(t + 3)/6
Factor 4*p**4 - 24*p**3 + 4*p**2 + 96*p + 64.
4*(p - 4)**2*(p + 1)**2
Determine v so that 28*v**3 - 1128*v**2 - 2032*v + 672 = 0.
-2, 2/7, 42
Factor -2*g**3/3 - 4*g**2/9 + 8*g/3 + 16/9.
-2*(g - 2)*(g + 2)*(3*g + 2)/9
Let 16*s**5/5 - 1528*s**4/5 + 36097*s**3/5 + 18336*s**2/5 + 2304*s/5 = 0. What is s?
-1/4, 0, 48
Suppose -j**2/2 + 75*j/2 = 0. What is j?
0, 75
Factor 2*g**3/21 + 320*g**2/21 + 14746*g/21 + 21316/3.
2*(g + 14)*(g + 73)**2/21
Factor w**2/3 + 1378*w/3 + 474721/3.
(w + 689)**2/3
Factor 5*k**4 + 310*k**3 + 5380*k**2 + 17690*k + 12615.
5*(k + 1)*(k + 3)*(k + 29)**2
What is c in 5*c**5 + 69*c**4 + 257*c**3 + 99*c**2 - 262*c - 168 = 0?
-7, -6, -1, -4/5, 1
Let 12*r**5 - 20*r**4 - 20*r**3 + 20*r**2 + 8*r = 0. What is r?
-1, -1/3, 0, 1, 2
Factor a**2/2 + 21*a/2 - 11.
(a - 1)*(a + 22)/2
Solve -3*v**3 + 899*v**2 - 1795*v/3 + 299/3 = 0.
1/3, 299
Solve -g**3 - 1761*g**2 - 1033707*g - 202262003 = 0.
-587
Factor 5*o**3 - 100*o**2 + 640*o - 1280.
5*(o - 8)**2*(o - 4)
Determine v so that -v**2/3 + 10*v - 75 = 0.
15
Factor 14*m**3/5 + 452*m**2/5 + 128*m/5.
2*m*(m + 32)*(7*m + 2)/5
Factor -q**2/8 + 13*q/2 - 72.
-(q - 36)*(q - 16)/8
Find s, given that s**4/2 - 19*s**3/4 + 45*s**2/4 - 41*s/4 + 13/4 = 0.
1, 13/2
Let 2*j**3 + 8*j**2 - 38*j + 28 = 0. Calculate j.
-7, 1, 2
Factor 2*a**5/3 + 14*a**4 - 200*a**3/3.
2*a**3*(a - 4)*(a + 25)/3
Factor h**2 + 149*h + 148.
(h + 1)*(h + 148)
Solve h**2/5 - 57*h/5 + 432/5 = 0.
9, 48
Suppose -7*m**5/2 + 20*m**4 - 9*m**3/2 - 38*m**2 - 10*m = 0. What is m?
-1, -2/7, 0, 2, 5
Factor -4*x**5 - 32*x**4 - 88*x**3 - 96*x**2 - 36*x.
-4*x*(x + 1)**2*(x + 3)**2
Factor -3*w**3 + 39*w**2 - 117*w + 81.
-3*(w - 9)*(w - 3)*(w - 1)
Suppose 2*l**3/9 - 2*l**2/3 - 2*l/9 + 2/3 = 0. Calculate l.
-1, 1, 3
Factor -10*r**2/19 + 46*r/19 - 36/19.
-2*(r - 1)*(5*r - 18)/19
Suppose 2*t**2 - 184*t + 4232 = 0. What is t?
46
Solve -3*t**3 + 75*t**2/2 - 33*t/2 - 18 = 0.
-1/2, 1, 12
Factor 5*f**4 + 45*f**3 - 5*f**2 - 45*f.
5*f*(f - 1)*(f + 1)*(f + 9)
Factor -b**4/7 + 2*b**3.
-b**3*(b - 14)/7
Find m, given that -4*m**2 + 24*m + 160 = 0.
-4, 10
Factor -g**3 - 17*g**2 + 106*g - 88.
-(g - 4)*(g - 1)*(g + 22)
Let -4*b**4 + 28*b**3 + 4*b**2 - 28*b = 0. Calculate b.
-1, 0, 1, 7
Let -4*p**2 + 4064*p - 1032256 = 0. What is p?
508
Factor -p**2/5 - 122*p/5 + 248/5.
-(p - 2)*(p + 124)/5
Factor 2*x**3 + 228*x**2/7 - 1406*x/7 - 60.
2*(x - 5)*(x + 21)*(7*x + 2)/7
Solve -5*o**3 + 20*o**2 - 5*o - 30 = 0 for o.
-1, 2, 3
Find u such that 58*u**3/11 - 4*u**2/11 - 58*u/11 + 4/11 = 0.
-1, 2/29, 1
Suppose -2*s**5/9 + 62*s**4/9 - 68*s**3 + 2060*s**2/9 - 2522*s/9 + 338/3 = 0. Calculate s.
1, 3, 13
Factor -40*w**3/11 + 34*w**2/11 + 6*w/11.
-2*w*(w - 1)*(20*w + 3)/11
Factor 2*j**3/7 - 6*j**2 - 20*j - 96/7.
2*(j - 24)*(j + 1)*(j + 2)/7
Factor -20*v**2 - 1832*v + 736.
-4*(v + 92)*(5*v - 2)
Find w such that 16*w**5/3 + 1052*w**4/3 + 1252*w**3 + 2168*w**2/3 - 4016*w/3 - 992 = 0.
-62, -2, -3/4, 1
Determine z, given that 12*z**2 - 4905*z - 1227 = 0.
-1/4, 409
Determine i, given that 3*i**3/5 - 159*i**2/5 + 702*i/5 + 864/5 = 0.
-1, 6, 48
Factor 80*r**4 - 110680*r**3 + 38253765*r**2 + 19147640*r + 2394320.
5*(r - 692)**2*(4*r + 1)**2
Find b such that 15*b**4 - 129*b**3 - 204*b**2 - 60*b = 0.
-1, -2/5, 0, 10
Factor -2*j**2 - 134*j - 1044.
-2*(j + 9)*(j + 58)
Find c such that -2*c**5/3 + 14*c**4/3 - 16*c**3/3 - 32*c**2/3 = 0.
-1, 0, 4
Factor -2*s**2 - 2312*s - 668168.
-2*(s + 578)**2
Factor -4*v**2 - 12*v + 720.
-4*(v - 12)*(v + 15)
Suppose 2*z**2/13 - 300*z + 146250 = 0. Calculate z.
975
Factor 5*q**3/4 + 3*q**2/2 - 9*q/4 - 1/2.
(q - 1)*(q + 2)*(5*q + 1)/4
Find o such that -5*o**2 + 13940*o - 9716180 = 0.
1394
Factor -4*j**3 - 188*j**2 - 528*j.
-4*j*(j + 3)*(j + 44)
Factor 3*m**3 + 33*m**2 - 327*m - 357.
3*(m - 7)*(m + 1)*(m + 17)
Factor -a**2 - 28*a + 29.
-(a - 1)*(a + 29)
Factor -2*c**5/15 - 4*c**4/15.
-2*c**4*(c + 2)/15
Suppose 25*z**3 - 135*z**2 + 50*z = 0. What is z?
0, 2/5, 5
Find b such that 3*b**3 + 59*b**2/4 + 39*b/2 + 4 = 0.
-8/3, -2, -1/4
Let -p**3 + 341*p**2 + 1030*p + 688 = 0. What is p?
-2, -1, 344
Solve 8*f**3 - 332*f**2 + 160*f + 164 = 0 for f.
-1/2, 1, 41
Determine g so that -2*g**5/15 + 58*g**4/15 - 254*g**3/15 + 114*g**2/5 - 48*g/5 = 0.
0, 1, 3, 24
Let -x**2 - 98*x - 2401 = 0. What is x?
-49
Let -4*x**4 - 43*x**3 - 93*x**2 + 16*x + 124 = 0. What is x?
-31/4, -2, 1
Factor 10*c**2 - 85*c + 150.
5*(c - 6)*(2*c - 5)
What is g in 4*g**5 + 424*g**4 + 16816*g**3 + 303840*g**2 + 2419200*g + 6912000 = 0?
-30, -8
Factor -2*p**3 - 126*p**2 - 480*p - 472.
-2*(p + 2)**2*(p + 59)
Factor 4*t**2 - 104*t + 192.
4*(t - 24)*(t - 2)
Suppose 22*m**4 - 508*m**3/5 - 866*m**2/5 - 272*m/5 - 24/5 = 0. Calculate m.
-1, -1/5, -2/11, 6
Determine z, given that -5*z**5 + 25*z**4 - 35*z**3 - 5*