 - 1)**2*(c + 3)/5
Factor k**2/2 - 9*k/2 - 26.
(k - 13)*(k + 4)/2
Factor -8*b**2/5 - 18*b - 252/5.
-2*(b + 6)*(4*b + 21)/5
Determine b, given that 3*b**3/5 - 9*b**2/5 - 6*b = 0.
-2, 0, 5
Factor -4*r**4 + 12*r**3 + 52*r**2 - 60*r.
-4*r*(r - 5)*(r - 1)*(r + 3)
What is p in 2*p**3/7 - 24*p**2/7 + 22*p/7 = 0?
0, 1, 11
Factor 4*v**4/5 + 64*v**3/5 - 76*v**2/5 - 136*v/5.
4*v*(v - 2)*(v + 1)*(v + 17)/5
Factor 3*r**3/7 + 9*r**2/7 - 12/7.
3*(r - 1)*(r + 2)**2/7
Find k, given that -7*k**5 + 449*k**4 - 939*k**3 + 559*k**2 - 62*k = 0.
0, 1/7, 1, 62
Factor -y**4 + 52*y**3 - 147*y**2 - 4*y + 196.
-(y - 49)*(y - 2)**2*(y + 1)
Suppose p**5 - 2*p**4 - 8*p**3 + 18*p**2 - 9*p = 0. Calculate p.
-3, 0, 1, 3
Factor a**2/4 - 33*a/4 - 17/2.
(a - 34)*(a + 1)/4
Factor -l**5 - 80*l**4 - 378*l**3 - 216*l**2 + 675*l.
-l*(l - 1)*(l + 3)**2*(l + 75)
Solve 2*v**2/15 - 24*v/5 + 14/3 = 0 for v.
1, 35
Determine k, given that 2*k**4 - 60*k**3 - 62*k**2 = 0.
-1, 0, 31
Find r such that -4*r**4 + 40*r**3 + 348*r**2 + 576*r = 0.
-3, 0, 16
Factor -2*w**4/17 + 452*w**3/17 - 25984*w**2/17 + 50176*w/17.
-2*w*(w - 112)**2*(w - 2)/17
Suppose 9*n**4/7 - 16*n**3/7 + 5*n**2/7 + 2*n/7 = 0. Calculate n.
-2/9, 0, 1
Suppose -2*v**4/7 + 2*v**3/7 + 2*v**2 - 26*v/7 + 12/7 = 0. Calculate v.
-3, 1, 2
Determine b so that -2*b**4/11 - 60*b**3/11 - 226*b**2/11 + 3528*b/11 - 3240/11 = 0.
-18, 1, 5
Let 4*j**4/7 - 8*j**3 - 64*j**2/7 + 8*j + 60/7 = 0. What is j?
-1, 1, 15
Factor -2*m**2/3 + 500*m/3 - 31250/3.
-2*(m - 125)**2/3
Factor -2*s**3 - 174*s**2 - 3696*s - 23128.
-2*(s + 14)**2*(s + 59)
Find z such that 2*z**3/3 + 1398*z**2 + 732202*z - 2200802/3 = 0.
-1049, 1
Suppose 4*n**4/5 - 412*n**3/5 + 10401*n**2/5 + 10712*n/5 + 2704/5 = 0. Calculate n.
-1/2, 52
Factor -2*r**3/3 + 34*r**2 + 464*r/3 - 440.
-2*(r - 55)*(r - 2)*(r + 6)/3
What is m in m**2 + 36*m + 68 = 0?
-34, -2
Determine t so that 1764*t**3/5 + 3864*t**2/5 + 688*t/5 + 32/5 = 0.
-2, -2/21
Suppose 4*y**5 - 232*y**4 + 1476*y**3 + 6112*y**2 + 4400*y = 0. Calculate y.
-2, -1, 0, 11, 50
Suppose 56*h**5 + 50*h**4 - 8*h**3 - 2*h**2 = 0. What is h?
-1, -1/7, 0, 1/4
Let 3*i**5 + 114*i**4 + 297*i**3 - 654*i**2 - 840*i = 0. Calculate i.
-35, -4, -1, 0, 2
Factor 3*o**4/7 - 39*o**2/7 + 36*o/7.
3*o*(o - 3)*(o - 1)*(o + 4)/7
Determine g, given that -4*g**5 + 2*g**4 + 39*g**3/4 + 17*g**2/4 + g/2 = 0.
-1, -1/4, 0, 2
Suppose 8*y**3 + 7716*y**2 + 1862448*y + 929296 = 0. What is y?
-482, -1/2
Factor -2*c**2/19 + 40*c - 1512/19.
-2*(c - 378)*(c - 2)/19
Factor 2*p**3 + 200*p**2 - 406*p + 204.
2*(p - 1)**2*(p + 102)
Factor 6*r**3 + 148*r**2 - 576*r - 448.
2*(r - 4)*(r + 28)*(3*r + 2)
Factor -2*q**2/13 + 408*q/13.
-2*q*(q - 204)/13
What is q in -147*q**5 + 819*q**4 - 3807*q**3/4 - 1053*q**2/2 - 243*q/4 = 0?
-3/14, 0, 3
Suppose -4*a**5/7 + 8*a**4/7 + 132*a**3/7 - 56*a**2 - 128*a/7 + 384/7 = 0. What is a?
-6, -1, 1, 4
Determine a, given that 5*a**2 + 5445*a + 5440 = 0.
-1088, -1
Let -3*y**4/7 - 102*y**3/7 - 27*y**2 + 102*y/7 + 192/7 = 0. What is y?
-32, -2, -1, 1
Find g, given that 6*g**5 + 334*g**4 + 206*g**3 - 766*g**2 + 220*g = 0.
-55, -2, 0, 1/3, 1
Factor -146*z**3/3 + 196*z**2 - 200*z + 16/3.
-2*(z - 2)**2*(73*z - 2)/3
Factor 2*z**4/3 - 70*z**3/3 - 24*z**2.
2*z**2*(z - 36)*(z + 1)/3
Find z, given that 2*z**4/3 - 20*z**3/3 + 24*z**2 - 36*z + 18 = 0.
1, 3
Factor 2*p**3 - 9*p**2/2 - 15*p + 4.
(p - 4)*(p + 2)*(4*p - 1)/2
Solve -2*o**5/11 - 8*o**4/11 + 12*o**3/11 + 8*o**2/11 - 10*o/11 = 0 for o.
-5, -1, 0, 1
Find j, given that 28*j**2 - 29*j + 1 = 0.
1/28, 1
Let w**4/4 - 5*w**3/4 - 27*w**2/2 - 31*w - 22 = 0. Calculate w.
-2, 11
Factor 12*d**2/5 + 116*d/5 - 176/5.
4*(d + 11)*(3*d - 4)/5
What is l in 2*l**5/9 - 10*l**4/9 - 152*l**3/9 - 224*l**2/9 + 128*l/3 = 0?
-4, 0, 1, 12
Factor -2*h**2/13 - 4*h/13 - 2/13.
-2*(h + 1)**2/13
Factor f**2/2 + 66*f + 130.
(f + 2)*(f + 130)/2
Let 3*l**4 + 129*l**3 - 855*l**2 + 1311*l - 588 = 0. Calculate l.
-49, 1, 4
What is a in -4*a**4 - 4*a**3 + 4*a**2 + 4*a = 0?
-1, 0, 1
Let 500*i**4 - 86400*i**3 - 104160*i**2 - 41728*i - 5568 = 0. Calculate i.
-2/5, 174
Determine h, given that -3*h**3/5 + 19*h**2/5 + 42*h/5 - 16/5 = 0.
-2, 1/3, 8
Determine k, given that -k**3/2 + 23*k**2/2 - 40*k + 38 = 0.
2, 19
Determine k so that 2*k**4/7 - 60*k**3/7 - 502*k**2/7 - 624*k/7 + 1184/7 = 0.
-4, 1, 37
Factor -4*h**3 + 16*h**2.
-4*h**2*(h - 4)
What is c in 2*c**4/21 + 16*c**3/3 - 6*c**2 - 228*c/7 = 0?
-57, -2, 0, 3
Determine c, given that 4*c**3 - 52*c**2 + 120*c = 0.
0, 3, 10
Determine t, given that -t**4 + 4*t**3 - 5*t**2 + 2*t = 0.
0, 1, 2
What is x in -3*x**3 + 729*x**2 + 3738*x - 4464 = 0?
-6, 1, 248
Solve b**2/5 + 274*b/5 + 18769/5 = 0 for b.
-137
Factor -i**4 - 7*i**3 + 9*i**2 + 7*i - 8.
-(i - 1)**2*(i + 1)*(i + 8)
Suppose -4*o**5 + 24*o**4 + 168*o**3 - 464*o**2 - 3108*o - 3528 = 0. Calculate o.
-3, -2, 7
Factor -f**4 + 33*f**3 - 92*f**2 + 60*f.
-f*(f - 30)*(f - 2)*(f - 1)
Find y, given that y**5 + 3*y**4 - 55*y**3 - 227*y**2 - 282*y - 112 = 0.
-7, -2, -1, 8
Find w, given that -w**5/4 + 59*w**4/4 - 1099*w**3/4 + 6845*w**2/4 - 4000*w + 3125 = 0.
2, 5, 25
Factor -3*w**2 + 15*w - 18.
-3*(w - 3)*(w - 2)
Find j, given that 5*j**2 + 80*j + 140 = 0.
-14, -2
Factor -6272*y**2/5 + 672*y/5 - 18/5.
-2*(56*y - 3)**2/5
Factor -2*b**3/9 + 28*b**2/9 - 50*b/9 + 8/3.
-2*(b - 12)*(b - 1)**2/9
Factor 10*d**2/7 + 972*d/7 + 2826/7.
2*(d + 3)*(5*d + 471)/7
Let 2*t**2/9 + 2*t = 0. Calculate t.
-9, 0
Factor g**2/7 + 9*g/7 + 20/7.
(g + 4)*(g + 5)/7
Solve 45*d**2 - 1745*d - 390 = 0.
-2/9, 39
Find t such that t**3/4 + 3027*t**2/4 + 3054243*t/4 + 1027243729/4 = 0.
-1009
Factor -2*b**5 - 152*b**4 - 2184*b**3 + 28224*b**2.
-2*b**2*(b - 8)*(b + 42)**2
Factor -2*r**4 + 6*r**2 - 4*r.
-2*r*(r - 1)**2*(r + 2)
Solve 2*d**5/3 + 12*d**4 + 160*d**3/3 - 12*d**2 - 54*d = 0.
-9, -1, 0, 1
Find o such that -2*o**2/5 + 776*o/5 = 0.
0, 388
Find l such that -2*l**5/3 - 10*l**4/9 + 4*l**3/9 + 4*l**2/3 + 2*l/9 - 2/9 = 0.
-1, 1/3, 1
Factor 2*u**2/9 + 136*u/9 + 88/3.
2*(u + 2)*(u + 66)/9
Factor x**2/5 + 283*x/5.
x*(x + 283)/5
Determine q, given that 14*q**5/11 + 10*q**4/11 - 32*q**3/11 + 8*q**2/11 = 0.
-2, 0, 2/7, 1
Factor r**2 + 13*r - 14.
(r - 1)*(r + 14)
Find s such that s**4/5 - s**3/5 - 3*s**2/5 + s/5 + 2/5 = 0.
-1, 1, 2
Find p, given that 138*p**2 - 1522*p + 44 = 0.
2/69, 11
Factor d**4/7 + 26*d**3/7 + 71*d**2/7 + 46*d/7.
d*(d + 1)*(d + 2)*(d + 23)/7
Suppose -5*m**4 - 505*m**3 - 1885*m**2 + 5305*m - 2910 = 0. What is m?
-97, -6, 1
Determine n so that n**3 - 12*n**2 - 99*n + 1210 = 0.
-10, 11
Factor 12*a**5/5 + 27*a**4/5 + 18*a**3/5 + 3*a**2/5.
3*a**2*(a + 1)**2*(4*a + 1)/5
Factor 81*o**3/2 + 60*o**2 - 122*o/3 + 8/3.
(o + 2)*(9*o - 4)*(27*o - 2)/6
Factor 4*w**5 - 236*w**4 + 3112*w**3 + 10792*w**2 + 11284*w + 3844.
4*(w - 31)**2*(w + 1)**3
Suppose -5*t**5/4 + 10*t**4 - 75*t**3/4 - 5*t**2 + 25*t = 0. What is t?
-1, 0, 2, 5
What is n in 2*n**3 + 198*n**2 + 192*n - 392 = 0?
-98, -2, 1
Suppose -3*v**4/4 - 3*v**3 + 147*v**2/4 - 78*v + 45 = 0. What is v?
-10, 1, 2, 3
Factor o**3/6 + 14*o**2 - 85*o/6.
o*(o - 1)*(o + 85)/6
Factor -21*j**3/5 - 2526*j**2/5 - 144*j.
-3*j*(j + 120)*(7*j + 2)/5
Determine t, given that 135*t**4 + 1350*t**3 - 1440*t**2 + 490*t - 55 = 0.
-11, 1/3
Factor -5*s**2 + 45*s - 70.
-5*(s - 7)*(s - 2)
Solve -w**5/6 - w**4/3 + 35*w**3/6 - 46*w**2/3 + 46*w/3 - 16/3 = 0 for w.
-8, 1, 2
Determine m, given that 8*m**5 - 34*m**4 - 216*m**3 - 200*m**2 + 64*m = 0.
-2, 0, 1/4, 8
Factor 2*t**2 + 12340*t + 19034450.
2*(t + 3085)**2
Suppose -3*g**5/2 - 27*g**4 - 21*g**3 + 78*g**2 + 45*g/2 - 51 = 0. What is g?
-17, -2, -1, 1
What is p in 5*p**3 + 965*p**2 - 10025*p + 25375 = 0?
-203, 5
Factor -g**2 - 6*g - 9.
-(g + 3)**2
Suppose 2*n**4 + 80*n**3 + 228*n**2 + 224*n + 74 = 0. Calculate n.
-37, -1
Suppose t**5/4 - 13*t**4/2 + 34*t**3 + 124*t**2 - 140*t - 392 = 0. Calculate t.
-2, 2, 14
Find j such that -5*j**5 + 80*j**4 - 320*j**3 = 0.
0, 8
Find f such that 28*f**3 + 62*f**2 + 40*f + 6 = 0.
-1, -3/14
Determine s, given that 3*s**5 + 501*s**4 + 28218*s**3 + 554070*s**2 + 1025475*s + 499125 = 0.
-55, -1
Determine h, given that -h**5/4 - 4*h**4 - 41*h**3/2 - 36*h**2 + 27*h/4 + 54 = 0.
-8, -3, 1
Determine z, given that 3*z**3 + 54*z**2 - 345*z = 0.
-23, 0, 5
Factor -z**2/2 + 53*z + 107/2.
-(z - 107)*(z + 1