 685*i**2 + 2020*i - 1340.
5*(i - 134)*(i - 2)*(i - 1)
Factor -b**3/9 + b**2/9 + 10*b/9 + 8/9.
-(b - 4)*(b + 1)*(b + 2)/9
Factor -5*u**4 - 15*u**3 + 90*u**2 - 20*u - 120.
-5*(u - 2)**2*(u + 1)*(u + 6)
Factor 4*c**2/3 + 80*c/3 - 92.
4*(c - 3)*(c + 23)/3
Factor 4*d**4 + 40*d**3 + 108*d**2 + 72*d.
4*d*(d + 1)*(d + 3)*(d + 6)
Factor 3*v**4/2 - 117*v**3/2 + 57*v**2.
3*v**2*(v - 38)*(v - 1)/2
What is q in q**2 + 19*q = 0?
-19, 0
Factor 6*i**4/7 + 484*i**3/7 - 240*i**2.
2*i**2*(i + 84)*(3*i - 10)/7
Solve r**3 + 23*r**2 = 0.
-23, 0
Find u, given that -2*u**3/7 + 12*u**2/7 = 0.
0, 6
Factor -g**2/3 - 25*g/3 - 46/3.
-(g + 2)*(g + 23)/3
Determine s so that 35*s**3 + 66525*s**2 + 47490*s - 19000 = 0.
-1900, -1, 2/7
Find l such that 36*l**4 - 116*l**3 + 96*l**2 - 16*l = 0.
0, 2/9, 1, 2
Factor -4*q**2 + 96*q - 512.
-4*(q - 16)*(q - 8)
Factor 2*u**2/9 - 520*u/9 + 2048/9.
2*(u - 256)*(u - 4)/9
Factor -2*x**5 + 12*x**3 + 16*x**2 + 6*x.
-2*x*(x - 3)*(x + 1)**3
Suppose -3*j**3 - 27*j**2 - 45*j + 75 = 0. Calculate j.
-5, 1
Let k**4 + 4*k**3 = 0. Calculate k.
-4, 0
Find u such that -2*u**4/9 - 80*u**3/9 - 74*u**2/3 + 8*u/9 + 296/9 = 0.
-37, -2, 1
Solve -u**3/3 + u**2/3 + 2*u = 0.
-2, 0, 3
What is a in -3*a**3/2 + 15*a**2 + 489*a/2 + 228 = 0?
-8, -1, 19
Determine d, given that 2*d**2/7 + 2880*d/7 + 1036800/7 = 0.
-720
Factor g**2/2 - 267*g/2 - 269.
(g - 269)*(g + 2)/2
What is a in -2*a**2/3 - 32356*a/3 - 130863842/3 = 0?
-8089
Factor w**2 + 386*w + 37249.
(w + 193)**2
Solve -22*c**3 + 206*c**2 + 148*c - 80 = 0 for c.
-1, 4/11, 10
Let 4*p**4 - 24*p**3 - 64*p**2 + 216*p + 252 = 0. Calculate p.
-3, -1, 3, 7
What is d in -20*d**3 - 272*d**2 + 124*d + 168 = 0?
-14, -3/5, 1
Factor q**5/4 + q**4/4 - 3*q**3/4 - q**2/4 + q/2.
q*(q - 1)**2*(q + 1)*(q + 2)/4
Determine b, given that 4*b**3 - 64*b**2 - 228*b = 0.
-3, 0, 19
Factor -2*d**4 + 4*d**3 + 2*d**2 - 4*d.
-2*d*(d - 2)*(d - 1)*(d + 1)
Factor 5*k**2 - 5360*k + 1436480.
5*(k - 536)**2
Determine p, given that 16*p**3 + 252*p**2 + 384*p - 112 = 0.
-14, -2, 1/4
Solve -3*w**4 - 96*w**3 - 267*w**2 - 174*w = 0.
-29, -2, -1, 0
Solve 2*d**4/3 - 4*d**3/3 + 2*d**2/3 = 0 for d.
0, 1
Suppose 2*y**4 - 894*y**3 + 98554*y**2 + 301950*y + 202500 = 0. What is y?
-2, -1, 225
What is s in 26*s**4 - 204*s**3 - 890*s**2 - 132*s = 0?
-3, -2/13, 0, 11
Let -2*l**5/7 + 10*l**4 - 576*l**3/7 - 648*l**2/7 = 0. What is l?
-1, 0, 18
Factor 2*w**2/9 + 284*w/9 + 94/3.
2*(w + 1)*(w + 141)/9
Factor s**2/3 - 4*s/3.
s*(s - 4)/3
Factor d**5/10 - 3*d**4/5 + 13*d**3/10 - 6*d**2/5 + 2*d/5.
d*(d - 2)**2*(d - 1)**2/10
Solve -2*p**5/7 + 2*p**4/7 + 8*p**3/7 - 8*p**2/7 = 0.
-2, 0, 1, 2
What is u in -2*u**2/7 + 6292*u/7 = 0?
0, 3146
Solve -4*f**2 - 3016*f - 568516 = 0 for f.
-377
Let 2*r**2/5 - 648*r/5 + 52488/5 = 0. Calculate r.
162
Determine r so that -12*r**2 + 39*r = 0.
0, 13/4
Suppose 4*m**3/7 - 748*m**2/7 - 1508*m/7 - 108 = 0. What is m?
-1, 189
Factor 4*r**2 - 7*r - 2.
(r - 2)*(4*r + 1)
Determine a so that a**4/2 - 6*a**3 + 23*a**2 - 30*a + 25/2 = 0.
1, 5
Let 5*s**5 - 40*s**4 - 690*s**3 + 3260*s**2 + 25685*s + 21780 = 0. Calculate s.
-9, -4, -1, 11
Determine f, given that 2*f**3/3 - 98*f**2/3 + 490*f - 2058 = 0.
7, 21
Factor 18*j**5/5 + 73*j**4/5 + 112*j**3/5 + 78*j**2/5 + 22*j/5 + 1/5.
(j + 1)**4*(18*j + 1)/5
Factor 2*k**4/5 + 26*k**3/5 - 2*k**2 - 666*k/5 + 648/5.
2*(k - 4)*(k - 1)*(k + 9)**2/5
Find p such that -10*p**2 + 21*p - 2 = 0.
1/10, 2
Factor u**2/3 - 3*u.
u*(u - 9)/3
What is x in x**4 - 2146*x**3 + 1151328*x**2 + 2146*x - 1151329 = 0?
-1, 1, 1073
Factor 5*u**3 + 135*u**2 + 810*u.
5*u*(u + 9)*(u + 18)
Determine o so that -3*o**5/5 + 252*o**4/5 - 4731*o**3/5 - 5010*o**2 + 38016*o/5 + 11616 = 0.
-5, -1, 2, 44
Solve -4*s**3 + 64*s**2 - 276*s + 216 = 0 for s.
1, 6, 9
Factor g**5/6 - g**4/6 - 23*g**3/6 - g**2/2 + 15*g.
g*(g - 5)*(g - 2)*(g + 3)**2/6
Factor 11*c**2/4 - 177*c/4 + 4.
(c - 16)*(11*c - 1)/4
Suppose -27*z**4 - 60*z**3 - 39*z**2 - 6*z = 0. Calculate z.
-1, -2/9, 0
Find b such that -2*b**5/7 + 8*b**4 - 488*b**3/7 + 192*b**2 - 1152*b/7 = 0.
0, 2, 12
Factor 2*i**2/13 + 13484*i/13 + 22727282/13.
2*(i + 3371)**2/13
Let d**5/2 + 3*d**4 + 5*d**3 - 11*d/2 - 3 = 0. What is d?
-3, -2, -1, 1
Suppose -2*r**4 + 1294*r**3 - 211236*r**2 + 624680*r - 414736 = 0. What is r?
1, 2, 322
Factor 5*m**5/3 - 40*m**4/3 + 35*m**3 - 70*m**2/3 - 100*m/3 + 40.
5*(m - 3)*(m - 2)**3*(m + 1)/3
Suppose -u**2/5 - 1257*u/5 + 1258/5 = 0. Calculate u.
-1258, 1
Factor -3*n**4 - 27*n**3 - 60*n**2.
-3*n**2*(n + 4)*(n + 5)
Suppose 240*o**5 + 2276*o**4 + 2952*o**3 + 812*o**2 - 168*o - 64 = 0. Calculate o.
-8, -1, -2/5, -1/3, 1/4
Factor 3*y**4 - 21*y**3 + 15*y**2 + 21*y - 18.
3*(y - 6)*(y - 1)**2*(y + 1)
Factor -3*m**3 - 84*m**2 - 75*m + 162.
-3*(m - 1)*(m + 2)*(m + 27)
What is y in -2*y**5 - 16*y**4 - 30*y**3 + 40*y**2 + 152*y + 96 = 0?
-4, -3, -2, -1, 2
Factor 8*w**3 - 242*w**2 - 1668*w + 432.
2*(w - 36)*(w + 6)*(4*w - 1)
Suppose -2*t**3 - 210*t**2 - 208*t = 0. What is t?
-104, -1, 0
Suppose -2*n**3/21 - 2*n**2/21 = 0. Calculate n.
-1, 0
Factor b**5/4 - 2*b**4 - 3*b**3/4 + 11*b**2/2 + 4*b.
b*(b - 8)*(b - 2)*(b + 1)**2/4
Factor -6272*y**2 + 672*y - 18.
-2*(56*y - 3)**2
Solve -5*t**2/7 - 326*t/7 + 331/7 = 0 for t.
-331/5, 1
Factor -2*x**3/15 + 56*x**2/15 - 392*x/15.
-2*x*(x - 14)**2/15
Suppose -z**5/2 - 13*z**4 - 45*z**3/2 + 38*z**2 + 46*z - 48 = 0. What is z?
-24, -2, 1
Determine h so that -h**3/3 + 8*h**2/3 - 5*h = 0.
0, 3, 5
Determine m so that -3*m**4 + 6*m**3 + 9*m**2 - 12*m - 12 = 0.
-1, 2
Determine i, given that 4*i**5 + 276*i**4 + 1376*i**3 - 118576*i**2 + 654720*i + 774400 = 0.
-44, -1, 10
Determine y, given that 147*y**4 - 133*y**3 + 40*y**2 - 4*y = 0.
0, 2/7, 1/3
Factor -2*u**3 - 32*u**2 - 102*u - 72.
-2*(u + 1)*(u + 3)*(u + 12)
Factor -t**5/6 + 4*t**3/3 - 8*t/3.
-t*(t - 2)**2*(t + 2)**2/6
Factor -2*j**2 - 110*j + 348.
-2*(j - 3)*(j + 58)
Factor -y**4 - 51*y**3 + 52*y**2.
-y**2*(y - 1)*(y + 52)
Determine f so that 12*f**4 + 63*f**3 + 99*f**2 + 57*f + 9 = 0.
-3, -1, -1/4
Factor -4*a**2 - 6184*a - 2390116.
-4*(a + 773)**2
Find x, given that 3*x**5 + 9*x**4/2 - 3*x**3 - 6*x**2 + 3/2 = 0.
-1, 1/2, 1
Let -2*f**3/7 + 662*f**2/7 - 8320*f + 563200/7 = 0. What is f?
11, 160
Factor 4*s**3/3 + 100*s**2/3 - 72*s.
4*s*(s - 2)*(s + 27)/3
Factor 4*i**3 - 10598*i**2 + 7017200*i + 3511250.
2*(i - 1325)**2*(2*i + 1)
Factor 5*w**2 - 85*w - 1000.
5*(w - 25)*(w + 8)
Solve 15*d**5 - 93*d**4 - 342*d**3 + 1032*d**2 - 192*d = 0.
-4, 0, 1/5, 2, 8
Factor -10*c**4 + 135*c**3 - 420*c**2 - 245*c.
-5*c*(c - 7)**2*(2*c + 1)
Suppose -4*q**5 + 13*q**4 - 6*q**3 - 13*q**2 + 10*q = 0. Calculate q.
-1, 0, 1, 5/4, 2
What is j in 3*j**4 + 46*j**3/3 + 68*j**2/3 + 34*j/3 + 1 = 0?
-3, -1, -1/9
Factor -s**2 + 21*s + 162.
-(s - 27)*(s + 6)
Suppose -135*h**5 - 2019*h**4/7 - 240*h**3/7 + 36*h**2/7 = 0. Calculate h.
-2, -2/9, 0, 3/35
Suppose -3*c**4/4 + 9*c**3 - 129*c**2/4 + 45*c - 21 = 0. Calculate c.
1, 2, 7
Factor -d**2/10 - 1232*d/5 - 2463/10.
-(d + 1)*(d + 2463)/10
Factor 2*o**2/9 + 16*o/9.
2*o*(o + 8)/9
What is h in -5*h**5/4 - 35*h**4/4 - 25*h**3/2 + 5*h**2/2 + 55*h/4 + 25/4 = 0?
-5, -1, 1
Solve -196*w**3 - 13440*w**2 - 7632*w - 1088 = 0.
-68, -2/7
Determine m so that m**2/8 + 137*m/4 + 18769/8 = 0.
-137
Find o such that -2*o**3/7 - 6362*o**2/7 - 5062560*o/7 - 5056200/7 = 0.
-1590, -1
Solve -3*h**3 + 60*h**2 - 303*h + 390 = 0 for h.
2, 5, 13
Solve 13*d**5 + 232*d**4 - 283*d**3 + 38*d**2 = 0 for d.
-19, 0, 2/13, 1
Find s such that -5*s**4 + 95*s**3 - 85*s**2 - 95*s + 90 = 0.
-1, 1, 18
Solve 3*m**4 + 15*m**3 + 12*m**2 = 0 for m.
-4, -1, 0
Solve 2*o**5/7 - 2*o**4 - 4*o**3/7 + 4*o**2 + 2*o/7 - 2 = 0.
-1, 1, 7
Let 2*a**5 - 4*a**4 - 4*a**3 + 8*a**2 + 2*a - 4 = 0. What is a?
-1, 1, 2
What is l in -4*l**2 + 744*l - 34596 = 0?
93
Factor 4*p**2 + 12*p.
4*p*(p + 3)
Factor -3*o**2/4 - 15*o/2 + 225/4.
-3*(o - 5)*(o + 15)/4
Solve -a**4 - 14*a**3 - 61*a**2 - 84*a - 36 = 0 for a.
-6, -1
Factor 2*n**5/9 - 10*n**4/9 - 4*n**3/3.
2*n**3*(n - 6)*(n + 1)/9
Suppose -2*v**2 - 2632*v - 865928 = 0. Calculate v.
-658
Determine f so that -f**2/5 - 3*f + 16/5 = 0.
-16, 1
Let -2*f**5/3 - 8*f**4 - 40*f**3/3 + 4*f**2/3 + 14*f + 20/3 = 0. Calculate f.
-10, -1, 1
Suppose -3*o**5 + 78*o**4 + 252*o**3 + 258*o**2 + 87*o = 0. What is o?
-1, 0, 29
Solve 