ose 5*i**3 - 235*i**2 + 1255*i - 1025 = 0. What is i?
1, 5, 41
Determine g, given that 2*g**4/5 - 2*g**3/5 - 2*g**2 - 6*g/5 = 0.
-1, 0, 3
Suppose -4*q**3 - 96*q**2 + 4*q + 96 = 0. Calculate q.
-24, -1, 1
Factor 2*h**2/19 - 28*h/19 + 48/19.
2*(h - 12)*(h - 2)/19
Determine r so that r**2/3 + 665*r/3 = 0.
-665, 0
Factor -4*d**2/7 - 6*d/7 - 2/7.
-2*(d + 1)*(2*d + 1)/7
Determine t so that -2*t**2/13 - 90*t/13 - 400/13 = 0.
-40, -5
Find t, given that 15*t**5 - 114*t**4 + 192*t**3 + 96*t**2 = 0.
-2/5, 0, 4
Determine b, given that 2*b**5 - 52*b**4 + 330*b**3 - 792*b**2 + 648*b = 0.
0, 2, 3, 18
Determine l so that l**5 + 422*l**4 + 2911*l**3 + 2490*l**2 = 0.
-415, -6, -1, 0
Determine s, given that -5*s**3 - 1625*s**2 - 6420*s = 0.
-321, -4, 0
Solve 5*o**2 - 265*o + 2460 = 0 for o.
12, 41
Find b such that 3*b**2 + 222*b + 432 = 0.
-72, -2
Factor -x**3 - 46*x**2 - 172*x - 168.
-(x + 2)**2*(x + 42)
Solve -8*y**5/3 - 58*y**4/3 - 62*y**3/3 - 4*y**2 = 0.
-6, -1, -1/4, 0
Factor 60*x**2 - 3308*x + 440.
4*(x - 55)*(15*x - 2)
Factor 4*k**2 - 10320*k + 6656400.
4*(k - 1290)**2
Let -2*d**3/3 + 52*d**2 + 54*d - 316/3 = 0. Calculate d.
-2, 1, 79
Solve -q**2/5 + 3554*q/5 - 3157729/5 = 0 for q.
1777
Factor 2*f**4/11 + 584*f**3/11 + 57036*f**2/11 + 1881800*f/11 + 1825346/11.
2*(f + 1)*(f + 97)**3/11
Find n such that 3*n**5/7 - 37*n**4/7 + 148*n**2/7 - 48*n/7 = 0.
-2, 0, 1/3, 2, 12
Factor 5*i**4 - 515*i**3 - 5605*i**2 - 5085*i.
5*i*(i - 113)*(i + 1)*(i + 9)
Solve 3*n**2 + 57*n + 102 = 0.
-17, -2
Let x**5/4 - 57*x**4/4 + 507*x**3/2 - 1364*x**2 + 672*x + 2304 = 0. Calculate x.
-1, 2, 8, 24
Factor -3*s**4 + 81*s**3 + 9*s**2 - 249*s + 162.
-3*(s - 27)*(s - 1)**2*(s + 2)
Factor 2*w**4/7 + 104*w**3/7 - 106*w**2/7.
2*w**2*(w - 1)*(w + 53)/7
Solve o**4 + 6*o**3 - 15*o**2 + 8*o = 0.
-8, 0, 1
Factor -d**2/10 - 71*d/2 + 357/5.
-(d - 2)*(d + 357)/10
Suppose 3*u**5 + 78*u**4 + 579*u**3 + 936*u**2 + 432*u = 0. What is u?
-12, -1, 0
Suppose -5*t**5/4 - 25*t**4 + 155*t**3/4 + 545*t**2/2 + 210*t = 0. Calculate t.
-21, -2, -1, 0, 4
Factor -4*c**5/7 + 4*c**4/7 + 8*c**3/7.
-4*c**3*(c - 2)*(c + 1)/7
Solve 4*o**2/3 + 4*o/3 - 8/3 = 0 for o.
-2, 1
Determine c so that c**5/3 + 17*c**4/2 + 11*c**3/3 - 38*c**2/3 - 4*c + 25/6 = 0.
-25, -1, 1/2, 1
Let -2*t**5/13 - 10*t**4/13 + 66*t**3/13 - 54*t**2/13 = 0. What is t?
-9, 0, 1, 3
Solve -x**3/3 - 16*x**2/3 - 29*x/3 - 14/3 = 0.
-14, -1
What is i in -2*i**3/5 - 6*i**2/5 + 12*i/5 + 16/5 = 0?
-4, -1, 2
Factor -3*t**2 - 5190*t - 2244675.
-3*(t + 865)**2
Factor -4*j**4 + 252*j**3 - 3840*j**2 - 4096*j.
-4*j*(j - 32)**2*(j + 1)
What is t in 2*t**2/9 - 16*t/3 + 32 = 0?
12
Factor 2*v**2/11 + 14*v/11 - 36/11.
2*(v - 2)*(v + 9)/11
What is o in o**3/3 - 18*o**2 - 952*o/3 = 0?
-14, 0, 68
Let -4*v**5 - 52*v**4 + 24*v**3 + 280*v**2 - 404*v + 156 = 0. Calculate v.
-13, -3, 1
Determine t, given that 5*t**4 + 260*t**3 + 505*t**2 + 250*t = 0.
-50, -1, 0
Let p**5/3 - 8*p**4 + 61*p**3 - 296*p**2/3 - 576*p + 1536 = 0. What is p?
-3, 3, 8
Let y**2/3 + 9*y - 58/3 = 0. What is y?
-29, 2
Factor 2*z**2/13 - 120*z/13 + 1800/13.
2*(z - 30)**2/13
Factor 2*h**2/5 + 414*h/5 + 1152.
2*(h + 15)*(h + 192)/5
Factor -44*s**2 + 292*s + 112.
-4*(s - 7)*(11*s + 4)
Solve 2*x**5/7 + 10*x**4 - 78*x**3/7 - 214*x**2/7 + 76*x/7 + 144/7 = 0.
-36, -1, 1, 2
Factor 3*z**3/5 - 276*z**2/5 + 108*z.
3*z*(z - 90)*(z - 2)/5
Find h such that h**4/3 - 19*h**3/3 - 88*h**2/3 - 92*h/3 = 0.
-2, 0, 23
Let -5*j**5 - 30*j**4 - 55*j**3 - 10*j**2 + 60*j + 40 = 0. Calculate j.
-2, -1, 1
Determine z so that 21*z**4 + 885*z**3 - 5706*z**2/7 - 12480*z/7 - 4128/7 = 0.
-43, -4/7, 2
Factor -3*f**3/8 - 63*f**2/4 + 135*f/8 + 129/4.
-3*(f - 2)*(f + 1)*(f + 43)/8
Factor -2*u**3 - 84*u**2 - 82*u.
-2*u*(u + 1)*(u + 41)
Find t, given that 3*t**3 + 30*t**2 + 63*t = 0.
-7, -3, 0
Factor -w**3/6 + w**2/2 - 2/3.
-(w - 2)**2*(w + 1)/6
Suppose -3*b**5/7 + 135*b**4/7 - 1581*b**3/7 + 1317*b**2/7 + 1584*b/7 - 1452/7 = 0. Calculate b.
-1, 1, 22
Factor -4*c**4 + 20*c**3 + 128*c**2 + 144*c.
-4*c*(c - 9)*(c + 2)**2
Determine f so that 8*f**2/3 + 58*f/3 + 14/3 = 0.
-7, -1/4
Factor 408*a**4/11 + 1206*a**3/11 + 1170*a**2/11 + 354*a/11 - 18/11.
6*(a + 1)**3*(68*a - 3)/11
Determine b, given that -2*b**5 + 18*b**4 - 28*b**3 - 4*b**2 + 30*b - 14 = 0.
-1, 1, 7
Let -t**5/3 - 13*t**4/3 - 41*t**3/3 - 47*t**2/3 - 6*t = 0. What is t?
-9, -2, -1, 0
Factor -u**3 + 16*u**2 - 73*u + 90.
-(u - 9)*(u - 5)*(u - 2)
Suppose 55*i**2 + 375*i - 70 = 0. Calculate i.
-7, 2/11
Suppose q**5/4 - q**4/4 - 3*q**3/4 + q**2/4 + q/2 = 0. Calculate q.
-1, 0, 1, 2
Factor -3*h**3/2 + 801*h**2/2 + 1611*h/2 + 807/2.
-3*(h - 269)*(h + 1)**2/2
Find h such that h**5/4 + 9*h**4/4 - h**3 - 9*h**2 = 0.
-9, -2, 0, 2
Find t such that 2*t**2 + 142*t = 0.
-71, 0
Factor 43*t**2/7 - 45*t/7 + 2/7.
(t - 1)*(43*t - 2)/7
Suppose -3*w**4 + 186*w**3 - 3063*w**2 + 5580*w - 2700 = 0. Calculate w.
1, 30
Let 10*g**5/9 + 44*g**4/9 - 184*g**3/9 - 560*g**2/9 - 64*g/3 = 0. Calculate g.
-6, -2, -2/5, 0, 4
Factor 3*w**3/5 - 213*w**2 - 6471*w/5 - 9747/5.
3*(w - 361)*(w + 3)**2/5
Find k such that -2*k**4 + 2*k**3 + 150*k**2 + 350*k - 500 = 0.
-5, 1, 10
Factor -3*c**5 - 69*c**4 - 129*c**3 - 63*c**2.
-3*c**2*(c + 1)**2*(c + 21)
Factor 2312*h**3/7 - 2210*h**2/7 + 696*h/7 - 72/7.
2*(4*h - 1)*(17*h - 6)**2/7
Factor -n**2/2 - n/4 + 21/4.
-(n - 3)*(2*n + 7)/4
Find b such that 5*b**3 - 15*b**2 - 110*b + 120 = 0.
-4, 1, 6
What is p in 2*p**3 - 244*p**2 - 3782*p - 3536 = 0?
-13, -1, 136
Find k, given that 2*k**2/5 - 2*k - 12/5 = 0.
-1, 6
Find l such that 3*l**4 - 48*l**3 = 0.
0, 16
Factor -3*y**3 - 975*y**2 - 966*y + 1944.
-3*(y - 1)*(y + 2)*(y + 324)
Find w, given that -42*w**5/17 + 254*w**4/17 + 1448*w**3/17 + 2016*w**2/17 + 1024*w/17 + 160/17 = 0.
-2, -1, -2/3, -2/7, 10
Factor 3*q**2/4 + 45*q/4.
3*q*(q + 15)/4
Factor r**2 - 35*r + 250.
(r - 25)*(r - 10)
Solve 2*y**4/9 - 4*y**3/9 - 2*y**2/3 = 0.
-1, 0, 3
Factor 5*g**4/2 - 60*g**3 - 255*g**2/2 - 65*g.
5*g*(g - 26)*(g + 1)**2/2
Factor -2*m**3/3 + 358*m**2/3 - 5280*m - 5400.
-2*(m - 90)**2*(m + 1)/3
Find p such that 52*p**3 + 526*p**2 + 60*p = 0.
-10, -3/26, 0
Let -36*h**4 - 188*h**3 + 428*h**2 - 148*h - 56 = 0. What is h?
-7, -2/9, 1
Let -n**4 - 30*n**3 - 192*n**2 + 512*n = 0. What is n?
-16, 0, 2
Factor -4*j**5 - 940*j**4 - 55692*j**3 - 54756*j**2.
-4*j**2*(j + 1)*(j + 117)**2
Determine r so that -2*r**4/7 + 2*r**3 = 0.
0, 7
Factor 2500*v**3 + 4800*v**2 - 396*v + 8.
4*(v + 2)*(25*v - 1)**2
Suppose -r**2/5 - 3664*r/5 - 3356224/5 = 0. Calculate r.
-1832
What is w in -4*w**2/5 + 916*w/5 - 1816/5 = 0?
2, 227
Factor -3*m**2 - 48*m + 108.
-3*(m - 2)*(m + 18)
Factor 2*z**3/3 - 20*z**2/3 - 16*z.
2*z*(z - 12)*(z + 2)/3
Factor -2*r**4 - 8*r**3 + 24*r**2 + 64*r - 128.
-2*(r - 2)**2*(r + 4)**2
Factor 2*a**3/21 - 16*a**2/21 - 2*a/21 + 16/21.
2*(a - 8)*(a - 1)*(a + 1)/21
Factor -3*k**2 + 48*k - 192.
-3*(k - 8)**2
Factor 3*i**2 - 24*i - 27.
3*(i - 9)*(i + 1)
Let 2*r**5 - 16*r**4 = 0. Calculate r.
0, 8
Factor 4*q**3 + 100*q**2 + 272*q + 176.
4*(q + 1)*(q + 2)*(q + 22)
Factor 2*r**2/7 + 348*r/7 + 15138/7.
2*(r + 87)**2/7
Find o, given that 4*o**4 + 104*o**3 + 992*o**2 + 4096*o + 6144 = 0.
-8, -6, -4
Factor -2*p**4/5 + 6*p**3 - 144*p**2/5 + 224*p/5.
-2*p*(p - 7)*(p - 4)**2/5
Factor -3*c**2 + 540*c + 1647.
-3*(c - 183)*(c + 3)
Find v such that -v**4 + 6*v**3 + 63*v**2 - 540*v + 972 = 0.
-9, 3, 6
Factor -a**4/6 + a**3 + a**2/2 - 8*a/3 - 2.
-(a - 6)*(a - 2)*(a + 1)**2/6
Let x**5 + 23*x**4 + 189*x**3 + 637*x**2 + 686*x = 0. Calculate x.
-7, -2, 0
Solve 2*a**4 - 40*a**3 - 46*a**2 + 84*a = 0 for a.
-2, 0, 1, 21
Factor 2*m**3/11 - 86*m**2/11 + 710*m/11 - 150.
2*(m - 33)*(m - 5)**2/11
Factor 2*t**3 + 920*t**2/7 - 2168*t/7 + 544/7.
2*(t - 2)*(t + 68)*(7*t - 2)/7
Factor 12*x**3 + 64*x**2 + 12*x - 40.
4*(x + 1)*(x + 5)*(3*x - 2)
What is y in -y**2 + 17*y - 70 = 0?
7, 10
Determine f so that -5*f**4 + 65*f**3 - 240*f**2 + 180*f = 0.
0, 1, 6
Factor 2*p**4 - 110*p**3 - 6*p**2 + 334*p - 220.
2*(p - 55)*(p - 1)**2*(p + 2)
Factor -d**3/5 - 68*d**2/5 - 217*d + 490.
-(d - 2)*(d + 35)**2/5
Factor -2*m**2/3 - 974*m - 2920/3.
-2*(m + 1)*(m + 1460)/3
Find j, given that -3*j**3 + 3*j = 0.
-1, 0, 1
Solve -j**5 - 77*j**4 - 931*j**3 + 39445*j**2 + 480200*j - 8403500 = 0 for j.
-35, 14
Factor -4*m**5 + 68*m**4 + 2