- 111)*(s - 1)**2
Factor 5*i**5 - 45*i**4 + 70*i**3.
5*i**3*(i - 7)*(i - 2)
Factor 2*y**2 - 52*y + 50.
2*(y - 25)*(y - 1)
Factor -5*k**2 + 95*k.
-5*k*(k - 19)
Factor -3*u**3 - 30*u**2 + 96*u + 288.
-3*(u - 4)*(u + 2)*(u + 12)
Solve 9*o**4 + 204*o**3 + 166*o**2 - 11220*o + 27225 = 0 for o.
-15, 11/3
Determine f so that 2*f**4/21 - 130*f**3/21 - 38*f**2/3 - 134*f/21 = 0.
-1, 0, 67
Suppose -2*t**2 + 13280*t - 13278 = 0. Calculate t.
1, 6639
Let 5831*d**5/9 + 9065*d**4/9 + 406*d**3 + 412*d**2/9 - 8*d/9 = 0. Calculate d.
-1, -2/7, 0, 2/119
Suppose 2*b**2/7 + 268*b + 62846 = 0. Calculate b.
-469
Find c such that 12*c**4/7 + 40*c**3/7 + 4*c**2/7 - 24*c/7 = 0.
-3, -1, 0, 2/3
Factor -5*o**3 - 55*o**2 - 180*o - 180.
-5*(o + 2)*(o + 3)*(o + 6)
Factor 3*r**3 - 1437*r**2 + 171360*r + 172800.
3*(r - 240)**2*(r + 1)
Solve -49*l**2/2 + 700*l - 5000 = 0.
100/7
Suppose 28*j**5 - 148*j**4 + 40*j**3 = 0. Calculate j.
0, 2/7, 5
Factor -3*t**4/7 + 8*t**3/7 - 4*t**2/7.
-t**2*(t - 2)*(3*t - 2)/7
What is q in q**3 - 48*q**2 - 49*q = 0?
-1, 0, 49
Find r such that 3*r**2 - 372*r - 1143 = 0.
-3, 127
Factor 68*q**3 - 268*q**2 + 256*q + 16.
4*(q - 2)**2*(17*q + 1)
Factor 3*p**4 + 120*p**3 + 1125*p**2.
3*p**2*(p + 15)*(p + 25)
Factor 3*t**4 + 15*t**3 + 27*t**2 + 21*t + 6.
3*(t + 1)**3*(t + 2)
Factor -2*z**4/7 - 118*z**3 - 84870*z**2/7 + 85698*z/7.
-2*z*(z - 1)*(z + 207)**2/7
Factor -2*a**4 - 14*a**3 + 8*a**2 + 56*a.
-2*a*(a - 2)*(a + 2)*(a + 7)
Let 18*y**4/19 + 210*y**3/19 - 88*y**2/19 - 184*y/19 + 96/19 = 0. What is y?
-12, -1, 2/3
Factor w**3 + 345*w**2 - w - 345.
(w - 1)*(w + 1)*(w + 345)
Factor 5*v**2 - 115*v/2 + 105/2.
5*(v - 1)*(2*v - 21)/2
Find u, given that -4*u**2/9 - 38*u + 172/9 = 0.
-86, 1/2
Let w**4/2 - 3*w**3 + 5*w**2/2 + 6*w = 0. What is w?
-1, 0, 3, 4
Factor -72075*f**2/2 - 13485*f - 2523/2.
-3*(155*f + 29)**2/2
Determine m so that 2*m**2/3 + 3214*m/3 - 1072 = 0.
-1608, 1
What is p in 2*p**5 + 4*p**4 - 8*p**3 - 16*p**2 = 0?
-2, 0, 2
Determine d so that -2*d**2/13 + 50*d/13 = 0.
0, 25
Let -3*v**2/4 + 39*v/4 + 21/2 = 0. Calculate v.
-1, 14
What is t in 3*t**4/2 + 174*t**3 + 8577*t**2/2 - 44826*t + 40362 = 0?
-62, 1, 7
Find l such that 2*l**4/7 - 10*l**3/7 - 110*l**2/7 + 370*l/7 - 36 = 0.
-7, 1, 2, 9
What is h in 4*h**4/5 - 8*h**3 - 12*h**2/5 + 112*h/5 + 16 = 0?
-1, 2, 10
Factor -c**4 + 111*c**3 + 455*c**2 + 573*c + 230.
-(c - 115)*(c + 1)**2*(c + 2)
Factor 1445*o**2/4 - 850*o + 500.
5*(17*o - 20)**2/4
What is y in 160*y**5/21 - 592*y**4/7 + 3034*y**3/21 - 2*y**2 - 440*y/21 + 24/7 = 0?
-2/5, 1/4, 2, 9
Factor r**5 - 9*r**4 + 24*r**3 - 20*r**2.
r**2*(r - 5)*(r - 2)**2
Solve -2*v**3/3 + 50*v**2/3 - 100*v = 0.
0, 10, 15
Factor 3*u**3 + 6*u**2 - 12*u - 24.
3*(u - 2)*(u + 2)**2
Factor u**3/3 + 8*u**2/3 + 5*u/3 - 50/3.
(u - 2)*(u + 5)**2/3
Let -w**2 + 3378*w - 2852721 = 0. What is w?
1689
Find u such that -25*u**5 + 3570*u**4 - 6369*u**3 + 3388*u**2 - 564*u = 0.
0, 2/5, 1, 141
Factor -500*i**4 - 12400*i**3 + 15360*i**2 - 6208*i + 832.
-4*(i + 26)*(5*i - 2)**3
Factor 3*n**3 - 1128*n**2 + 106032*n.
3*n*(n - 188)**2
Factor -3*c**4/2 - 24*c**3 + 48*c**2 + 1152*c - 3456.
-3*(c - 4)**2*(c + 12)**2/2
Determine v so that -3*v**5/7 - 132*v**4/7 + 708*v**3/7 - 186*v**2 + 1023*v/7 - 42 = 0.
-49, 1, 2
Find i, given that -3*i**5 + 61*i**4/3 + 41*i**3/3 - 55*i**2 - 164*i/3 - 28/3 = 0.
-1, -2/9, 2, 7
Let -2*s**5 + 11*s**4 + 64*s**3 - 199*s**2 + 46*s + 80 = 0. Calculate s.
-5, -1/2, 1, 2, 8
Find b, given that 3*b**3/8 - 57*b**2/8 = 0.
0, 19
Determine f so that -f**4 + 8*f**3 + 152*f**2 + 480*f + 432 = 0.
-6, -2, 18
What is q in -q**4/4 + 51*q**3/4 + 113*q**2/4 - 375*q/4 + 53 = 0?
-4, 1, 53
Solve -x**4/5 + x**3 - x**2 - x + 6/5 = 0 for x.
-1, 1, 2, 3
Solve 3*u**3/2 + 111*u**2/2 + 1365*u/2 + 5577/2 = 0 for u.
-13, -11
Factor -5*z**3 - 85*z**2 - 360*z.
-5*z*(z + 8)*(z + 9)
Factor -i**2/2 + 3*i/2 + 77.
-(i - 14)*(i + 11)/2
Factor 3*o**3 - 3276*o**2 - 3*o + 3276.
3*(o - 1092)*(o - 1)*(o + 1)
Factor a**4/4 - 3*a**3/2 - 6*a**2 - 13*a/2 - 9/4.
(a - 9)*(a + 1)**3/4
Solve -2*y**3/15 - 4*y**2 + 358*y/5 - 1892/15 = 0.
-43, 2, 11
What is j in -2*j**2/5 + 34*j/5 = 0?
0, 17
Let -c**2/2 + 26*c = 0. What is c?
0, 52
Suppose 4*p**4/5 + 36*p**3/5 + 96*p**2/5 + 16*p = 0. Calculate p.
-5, -2, 0
Factor 2*j**4/5 - 296*j**3/5 + 12332*j**2/5 - 20424*j + 47610.
2*(j - 69)**2*(j - 5)**2/5
Suppose 5*d**4 + 35*d**3 + 45*d**2 - 135*d - 270 = 0. Calculate d.
-3, 2
Suppose y**4 - 4*y**3 + 5*y**2 - 2*y = 0. Calculate y.
0, 1, 2
Determine t, given that -5*t**2 - 80*t + 960 = 0.
-24, 8
Determine w, given that -75*w**4 - 980*w**3 - 965*w**2 - 60*w = 0.
-12, -1, -1/15, 0
Let -3*n**5/5 + 3*n**4 - 24*n**3/5 + 12*n**2/5 = 0. Calculate n.
0, 1, 2
Find g, given that 2*g**3/19 - 18*g**2/19 - 44*g/19 = 0.
-2, 0, 11
Determine o so that -o**3/6 + 127*o**2/6 - 416*o/3 - 160 = 0.
-1, 8, 120
What is h in 2*h**4/7 + 17*h**3/7 + 32*h**2/7 + 12*h/7 = 0?
-6, -2, -1/2, 0
Suppose 2*l**2/7 + 1076*l - 15072/7 = 0. Calculate l.
-3768, 2
Determine m so that -21*m**3/5 + 48*m**2/5 + 99*m/5 - 162/5 = 0.
-2, 9/7, 3
Find w, given that 2*w**5 - 170*w**4 + 4310*w**3 - 30150*w**2 + 82080*w - 77976 = 0.
3, 38
Factor -o**3/3 + 626*o**2/3 - 97969*o/3.
-o*(o - 313)**2/3
Let -3*n**4 + 27*n**3 + 81*n**2 - 987*n + 882 = 0. What is n?
-6, 1, 7
Factor -j**2/4 - 216*j - 46656.
-(j + 432)**2/4
Solve -4*l**3/3 - 80*l**2/3 + 172*l/3 - 88/3 = 0 for l.
-22, 1
Find x such that 3*x**3/2 - 63*x**2/2 + 405*x/2 - 729/2 = 0.
3, 9
Factor 2*h**2/3 + 34*h/3 + 140/3.
2*(h + 7)*(h + 10)/3
Factor 4*j**2 - 32*j + 48.
4*(j - 6)*(j - 2)
Factor -2*r**2/13 - 44*r/13 - 242/13.
-2*(r + 11)**2/13
Factor -4*q**4 - 40*q**3 - 64*q**2.
-4*q**2*(q + 2)*(q + 8)
Solve -8*s**4/11 + 80*s**3/11 - 106*s**2/11 - 70*s + 132 = 0 for s.
-3, 2, 11/2
Factor -2*m**2/5 + 48*m + 520.
-2*(m - 130)*(m + 10)/5
Factor 1296*d**3 - 66240*d**2 + 7348*d - 204.
4*(d - 51)*(18*d - 1)**2
Factor 2*h**3/21 - 8*h/21.
2*h*(h - 2)*(h + 2)/21
Suppose 12*m**3/7 + 116*m**2/7 + 152*m/7 - 64/7 = 0. What is m?
-8, -2, 1/3
Suppose 4*h**2/3 + 68*h/3 = 0. What is h?
-17, 0
Factor 3*s**3/2 - 48*s**2 + 93*s/2.
3*s*(s - 31)*(s - 1)/2
Factor -i**4/3 - 4*i**3/3 + 2*i**2 + 4*i/3 - 5/3.
-(i - 1)**2*(i + 1)*(i + 5)/3
Factor 5*s**3 + 2115*s**2 + 224715*s + 222605.
5*(s + 1)*(s + 211)**2
Factor -2*z**2 + 1078*z.
-2*z*(z - 539)
Suppose 3*a**5/2 - 48*a**3 + 72*a**2 + 168*a - 288 = 0. Calculate a.
-6, -2, 2, 4
Factor 5*w**3/2 + 105*w**2/2 - 405*w.
5*w*(w - 6)*(w + 27)/2
Factor -2*r**3/3 + 188*r**2/3 - 358*r + 528.
-2*(r - 88)*(r - 3)**2/3
Factor l**4/2 + 49*l**3/2 + 95*l**2/2 + 47*l/2.
l*(l + 1)**2*(l + 47)/2
Suppose -3*h**2 - 11454*h - 10932843 = 0. What is h?
-1909
Factor b**5 + 4*b**4 - 6*b**3 - 4*b**2 + 5*b.
b*(b - 1)**2*(b + 1)*(b + 5)
Suppose 2*o**2/13 - 382*o/13 - 772/13 = 0. Calculate o.
-2, 193
Factor -i**5 - 39*i**4 - 434*i**3 - 1044*i**2 - 648*i.
-i*(i + 1)*(i + 2)*(i + 18)**2
What is q in -36*q**2 - 128*q - 112 = 0?
-2, -14/9
Factor -4*o**2/5 - 48*o/5.
-4*o*(o + 12)/5
Suppose -4*c**4/5 + 147*c**3/5 - 243*c**2/5 - 14*c = 0. Calculate c.
-1/4, 0, 2, 35
Factor 5*x**5 + 20*x**4 + 10*x**3 - 20*x**2 - 15*x.
5*x*(x - 1)*(x + 1)**2*(x + 3)
Factor -b**5 - 64*b**4 - 282*b**3 + 760*b**2 - 413*b.
-b*(b - 1)**2*(b + 7)*(b + 59)
Solve 5*r**5 - 120*r**4 - 130*r**3 + 120*r**2 + 125*r = 0 for r.
-1, 0, 1, 25
Suppose -p**2/7 + 30*p + 211/7 = 0. What is p?
-1, 211
Determine o, given that 4*o**5/5 - 539*o**4/5 + 401*o**3/5 + 134*o**2/5 = 0.
-1/4, 0, 1, 134
Factor 2*w**3 - 1032*w**2 - 3122*w + 4152.
2*(w - 519)*(w - 1)*(w + 4)
Solve -4*o**5 - 1968*o**4 - 238092*o**3 + 978112*o**2 - 738048*o = 0 for o.
-248, 0, 1, 3
Let -2*g**2/5 + 1086*g/5 + 436 = 0. Calculate g.
-2, 545
Let -3469445*f**3 - 3444455*f**2 + 24945*f - 45 = 0. What is f?
-1, 3/833
Factor 110*y**3/9 - 472*y**2/9 + 568*y/9 - 128/9.
2*(y - 2)**2*(55*y - 16)/9
Factor 20*z**3 - 2672*z**2 - 3804*z + 3240.
4*(z - 135)*(z + 2)*(5*z - 3)
Determine k so that -18*k**5 + 166*k**4 + 576*k**3 + 296*k**2 - 96*k = 0.
-2, -1, 0, 2/9, 12
Suppose 2*w**4/3 + 26*w**3/9 + 2*w**2/9 - 26*w/9 - 8/9 = 0. Calculate w.
-4, -1, -1/3, 1
Solve 4*b**4 - 4*b**3 - 76*b**2 + 196*b - 120 = 0.
-5, 1, 2, 3
Determine b, given that 26*b**4/3 + 205*b**3/3 + 174*b**2 + 135*b - 18 = 0.
-3, -2, 3/26
Factor -3*r**3 - 27*r**2