+ 2)**2
Factor 3*w**4 - 24*w**3 + 21*w**2.
3*w**2*(w - 7)*(w - 1)
Solve -b**4 + 8*b**3 + 25*b**2 - 284*b + 420 = 0.
-6, 2, 5, 7
Let -5*b**4 + 60*b**3 + 210*b**2 + 220*b + 75 = 0. Calculate b.
-1, 15
What is f in -8*f**4/3 - 151*f**3/3 + 19*f**2/3 = 0?
-19, 0, 1/8
Solve -15*g**5 + 237*g**4 - 537*g**3 - 117*g**2 = 0.
-1/5, 0, 3, 13
Factor 3*u**5/2 + 6*u**4 + 6*u**3 - 3*u**2 - 15*u/2 - 3.
3*(u - 1)*(u + 1)**3*(u + 2)/2
Factor -49*y**5/6 + 35*y**4/3 + 26*y**3/3 + 4*y**2/3.
-y**2*(y - 2)*(7*y + 2)**2/6
Factor -o**2 - o + 2.
-(o - 1)*(o + 2)
Find n such that -4*n**4 - 28*n**3 - 48*n**2 = 0.
-4, -3, 0
Suppose -3*x**4/5 + 27*x**3/5 + 42*x**2/5 - 108*x/5 - 24 = 0. What is x?
-2, -1, 2, 10
Factor -c**4 + 6*c**3 - 12*c**2 + 8*c.
-c*(c - 2)**3
Factor -4*o**3/3 - 460*o**2/3 + 1888*o/3 - 1904/3.
-4*(o - 2)**2*(o + 119)/3
Find i such that -i**4/4 + i**3/4 = 0.
0, 1
Find j, given that -j**2/8 - 137*j/2 - 18769/2 = 0.
-274
Solve -3*d**5 - 66*d**4 - 222*d**3 - 96*d**2 + 225*d + 162 = 0.
-18, -3, -1, 1
Let 8*b**5/5 - 72*b**4/5 + 10*b**3 + 108*b**2/5 + 32*b/5 = 0. What is b?
-1/2, 0, 2, 8
Factor -w**3/11 + 28*w**2/11 - 196*w/11.
-w*(w - 14)**2/11
What is t in -5*t**4 + 50*t**3 - 450*t + 405 = 0?
-3, 1, 3, 9
Factor b**4 + 140*b**3 - 429*b**2 + 4*b + 572.
(b - 2)**2*(b + 1)*(b + 143)
Suppose -3*j**2 - 45*j = 0. Calculate j.
-15, 0
Factor -4*j**2/5 + 8*j/5.
-4*j*(j - 2)/5
Factor -8*p**3 - 2*p**2/7.
-2*p**2*(28*p + 1)/7
Factor o**3 + 537*o**2 + 96123*o + 5735339.
(o + 179)**3
Factor -2*d**2/3 - 40*d/3 + 14.
-2*(d - 1)*(d + 21)/3
Find j, given that 5*j**4 - 2255*j**3 - 15955*j**2 - 34305*j - 20610 = 0.
-3, -1, 458
Factor -3*l**3 - 858*l**2 - 2535*l + 3396.
-3*(l - 1)*(l + 4)*(l + 283)
Find i such that 3*i**2 - 36*i = 0.
0, 12
Factor 2*x**2/23 + 104*x/23.
2*x*(x + 52)/23
Solve -w**5/2 + 45*w**4/2 - 603*w**3/2 + 2111*w**2/2 - 420*w - 1800 = 0 for w.
-1, 3, 20
Factor -i**5/4 + 17*i**4/4 - 13*i**3/4 - 53*i**2/4 + 41*i/2 - 8.
-(i - 16)*(i - 1)**3*(i + 2)/4
Factor -2*w**2/3 - 2474*w/3 + 2476/3.
-2*(w - 1)*(w + 1238)/3
Determine o, given that 2*o**3/3 + 128*o**2/3 + 2048*o/3 = 0.
-32, 0
Factor 188*l**5/5 - 74*l**4 + 176*l**3/5 + 6*l**2/5.
2*l**2*(l - 1)**2*(94*l + 3)/5
Let -14*v**4 - 6*v**3 + 42*v**2 + 46*v + 12 = 0. Calculate v.
-1, -3/7, 2
Factor -5*t**3 + 6455*t**2 - 6440*t - 12900.
-5*(t - 1290)*(t - 2)*(t + 1)
Find z such that -z**3 + 88*z**2 - 257*z + 170 = 0.
1, 2, 85
Factor 4*o**5 - 140*o**4 + 1020*o**3 - 2260*o**2 + 2000*o - 624.
4*(o - 26)*(o - 6)*(o - 1)**3
Solve -q**4/4 + 107*q**3/4 - 945*q**2 + 10692*q + 11664 = 0 for q.
-1, 36
Let -12*r**3 + 2*r**2 + 34*r + 20 = 0. What is r?
-1, -5/6, 2
Find b such that 12*b**2 + 69*b - 105 = 0.
-7, 5/4
Factor -u**3/5 + 164*u**2/5 - 644*u/5 + 128.
-(u - 160)*(u - 2)**2/5
Determine p, given that -5*p**4 - 21095*p**3 - 29673630*p**2 - 13926809620*p - 13897157080 = 0.
-1406, -1
Solve -22*u**2/5 - 8*u + 8/5 = 0 for u.
-2, 2/11
Factor 3*b**3 + 6*b**2 - 48*b - 96.
3*(b - 4)*(b + 2)*(b + 4)
Factor 3*o**5/2 - 15*o**3 + 30*o**2 - 45*o/2 + 6.
3*(o - 1)**4*(o + 4)/2
Find h such that 45*h**5 + 505*h**4 + 110*h**3 = 0.
-11, -2/9, 0
Determine f, given that -5*f**5 + 5*f**4 + 75*f**3 - 45*f**2 - 270*f = 0.
-3, -2, 0, 3
Factor 3*y**4 - 45*y**3 + 144*y**2 - 132*y.
3*y*(y - 11)*(y - 2)**2
Factor 4*h**4 - 36*h**3 + 60*h**2 + 100*h.
4*h*(h - 5)**2*(h + 1)
Suppose 21*u**4 - 78*u**3 - 24*u**2 = 0. Calculate u.
-2/7, 0, 4
Solve -9*z**3/5 - 2307*z**2/5 - 3064*z/5 - 204 = 0 for z.
-255, -2/3
Factor -8*b**4/5 + 22*b**3/5 - 4*b**2 + 6*b/5.
-2*b*(b - 1)**2*(4*b - 3)/5
Find m such that m**2 + 160*m + 159 = 0.
-159, -1
Suppose 5*b**3 + 235*b**2 - 3360*b + 10620 = 0. Calculate b.
-59, 6
Determine t, given that -3*t**5 - 141*t**4 - 1977*t**3 - 7635*t**2 - 11088*t - 5292 = 0.
-21, -2, -1
Suppose 20*s**5 - 160*s**4 - 675*s**3 + 125*s**2 + 455*s - 165 = 0. Calculate s.
-3, -1, 1/2, 11
Determine t so that -t**5 + 408*t**4 - 55488*t**3 + 2515456*t**2 = 0.
0, 136
Factor 6*n**4 + 76*n**3 + 168*n**2 + 80*n.
2*n*(n + 2)*(n + 10)*(3*n + 2)
Solve 3*f**4/8 + 33*f**3/8 - 5535*f**2/8 + 103275*f/8 - 70875 = 0.
-56, 15
Factor x**2/2 - 38*x + 434.
(x - 62)*(x - 14)/2
Let 16*j**3 + 156*j**2 + 344*j - 96 = 0. Calculate j.
-6, -4, 1/4
Factor -4*y**4 + 16*y**3 - 20*y**2 + 8*y.
-4*y*(y - 2)*(y - 1)**2
Solve -63001*w**2/5 - 1004*w/5 - 4/5 = 0 for w.
-2/251
Factor -36*r**5 - 84*r**4 - 61*r**3 - 14*r**2 - r.
-r*(r + 1)**2*(6*r + 1)**2
Determine f, given that 2*f**2/7 - 1984*f/7 + 492032/7 = 0.
496
What is r in 36*r**3 + 476*r**2 + 536*r + 96 = 0?
-12, -1, -2/9
Solve 2*v**3/5 - 86*v**2/5 - 8*v/5 + 344/5 = 0 for v.
-2, 2, 43
Suppose 2*s**3/7 - 8*s**2/7 + 6*s/7 = 0. What is s?
0, 1, 3
Find z, given that -2*z**4 + 10*z**3 + 84*z**2 + 152*z + 80 = 0.
-2, -1, 10
Factor -w**5/6 + 2*w**4/3 + 4*w**3/3 - 5*w**2/3 - 23*w/6 - 5/3.
-(w - 5)*(w - 2)*(w + 1)**3/6
Factor 4*q**3 - 7136*q**2 + 3182656*q.
4*q*(q - 892)**2
Let 2*z**2/19 - 174*z/19 - 3296/19 = 0. What is z?
-16, 103
Find r, given that 2*r**2 - 94*r + 92 = 0.
1, 46
What is x in 10*x**4/3 - 14*x**3/3 - 2*x**2/3 + 2*x = 0?
-3/5, 0, 1
Determine b, given that 4*b**4 - 104*b**3 + 960*b**2 - 3584*b + 4096 = 0.
2, 8
Factor 3*m**3/4 + 15*m**2/2 + 63*m/4.
3*m*(m + 3)*(m + 7)/4
Factor p**3/5 - 181*p**2/5.
p**2*(p - 181)/5
Factor -50*s**2 + 45*s + 5.
-5*(s - 1)*(10*s + 1)
Suppose -3*r**2/5 - 276*r - 1377/5 = 0. What is r?
-459, -1
Factor 3*v**2/4 + 23*v - 791/4.
(v - 7)*(3*v + 113)/4
Determine i, given that -i**2/2 - 311*i/2 - 155 = 0.
-310, -1
Factor -3*f**3 - 2025*f**2 - 12042*f.
-3*f*(f + 6)*(f + 669)
Factor -7*u**3/5 + 57*u**2 - 1178*u/5 - 72.
-(u - 36)*(u - 5)*(7*u + 2)/5
Suppose -s**4/3 + s**3/3 + 2*s**2 - 4*s/3 - 8/3 = 0. Calculate s.
-2, -1, 2
Find o, given that -3*o**4 + 57*o**3 = 0.
0, 19
Solve 6*o**5/7 + 16*o**4 + 270*o**3/7 - 5148*o**2/7 - 27712*o/7 - 2304 = 0 for o.
-9, -8, -2/3, 7
Solve 913066*k**5/5 + 9059512*k**4/5 + 7507962*k**3/5 - 621868*k**2/5 + 16472*k/5 - 144/5 = 0 for k.
-9, -1, 2/77
Let -2*i**4 + 12*i**3 + 30*i**2 + 16*i = 0. What is i?
-1, 0, 8
Find r such that -5*r**4/2 + 20*r**3 + 180*r**2 + 400*r + 280 = 0.
-2, 14
Factor -4*a**2 + 8*a.
-4*a*(a - 2)
Factor c**3 - 156*c**2 - 475*c - 318.
(c - 159)*(c + 1)*(c + 2)
Factor 3*k**4/2 + 51*k**3 - 693*k**2/2 + 540*k.
3*k*(k - 3)**2*(k + 40)/2
Find i, given that 4*i**2/7 - 232*i + 23548 = 0.
203
Let -2*l**2 - 72*l + 152 = 0. Calculate l.
-38, 2
Factor -f**2/4 + 17*f/2 - 16.
-(f - 32)*(f - 2)/4
Determine x so that -2*x**5 - 2*x**4 + 10*x**3 + 2*x**2 - 16*x + 8 = 0.
-2, 1
Factor 3*x**4 - 114*x**3 + 423*x**2 - 516*x + 204.
3*(x - 34)*(x - 2)*(x - 1)**2
Factor -2*v**5 - 66*v**4 - 438*v**3 + 1730*v**2 - 1872*v + 648.
-2*(v - 1)**3*(v + 18)**2
Solve 2*o**3 + 1906*o**2/5 + 18278*o + 10830 = 0.
-95, -3/5
Factor 4*p**3 - 420*p**2 - 1728*p - 1744.
4*(p - 109)*(p + 2)**2
Let 25*h**3 + 340*h**2 + 1085*h - 490 = 0. What is h?
-7, 2/5
Solve 3*d**5 + 33*d**4 + 75*d**3 + 15*d**2 - 78*d - 48 = 0.
-8, -2, -1, 1
Find l, given that 2*l**2 + 178*l - 364 = 0.
-91, 2
Factor 3*g**4/5 - 27*g**3/5 - 9*g**2/5 + 15*g + 54/5.
3*(g - 9)*(g - 2)*(g + 1)**2/5
Solve 4*y**4 - 1576*y**3 + 155232*y**2 + 1576*y - 155236 = 0.
-1, 1, 197
Factor -u**3 - 75*u**2 - 74*u.
-u*(u + 1)*(u + 74)
Factor -3*z**3 + 876*z**2.
-3*z**2*(z - 292)
What is n in -n**2/4 - 17*n/4 - 15 = 0?
-12, -5
Suppose w**2/4 - 290*w + 1159/4 = 0. Calculate w.
1, 1159
Factor -2*u**3/7 - 16*u**2/7 + 22*u/7 + 36/7.
-2*(u - 2)*(u + 1)*(u + 9)/7
Determine x, given that -2*x**4 + 2*x**3 + 24*x**2 + 8*x - 32 = 0.
-2, 1, 4
Factor -10*x**3 - 52*x**2 + 6*x + 216.
-2*(x + 3)*(x + 4)*(5*x - 9)
Solve -6*n**5/17 + 16*n**4/17 - 8*n**3/17 - 12*n**2/17 + 14*n/17 - 4/17 = 0.
-1, 2/3, 1
Let 88*w**2 + 972*w + 44 = 0. What is w?
-11, -1/22
Factor 5*o**4 + 110*o**3 + 705*o**2 + 1100*o + 500.
5*(o + 1)**2*(o + 10)**2
Solve -18*w**5 - 4570*w**4 - 13100*w**3 - 12060*w**2 - 3010*w + 502 = 0.
-251, -1, 1/9
Factor -d**5 - 3*d**4 + 13*d**3 + 15*d**2.
-d**2*(d - 3)*(d + 1)*(d + 5)
Factor -j**3 + 32*j**2/3 + 191*j/3 + 20.
-(j - 15)*(j + 4)*(3*j + 1)/3
Let g**2 - 394*g = 0. What is g?
0, 394
Let -3*b**3/5 - 3*b**2/5 + 72*b/5 - 108/5 = 0. Calculate b.
-6, 2, 3
Factor 3*u**5 - 2424*u**4 + 651231*u**3 - 57729510*u**2 - 120066300*u + 177147000.
3*(u - 270)**3*(u - 1)*(u + 3)
Find 