so that x**3 + 1063*x**2 + 2123*x + 1061 = 0.
-1061, -1
Find k, given that 12*k**3 - 28*k**2 + 20*k - 4 = 0.
1/3, 1
Let 4*o**5/3 - 23*o**4/6 + 13*o**3/6 + o**2/3 = 0. Calculate o.
-1/8, 0, 1, 2
Factor 2*p**5/13 - 4*p**4/13 - 40*p**3/13 + 16*p**2/13 + 256*p/13 + 256/13.
2*(p - 4)**2*(p + 2)**3/13
Factor -4*y**2 - 15416*y + 15420.
-4*(y - 1)*(y + 3855)
Factor -2*z**4 + 120*z**3 - 1676*z**2 - 3720*z - 1922.
-2*(z - 31)**2*(z + 1)**2
Determine q so that 5*q**3 + 2850*q**2 + 403260*q - 817960 = 0.
-286, 2
Suppose 35*n**3 + 710*n**2 - 535*n - 210 = 0. Calculate n.
-21, -2/7, 1
What is l in l**4/9 - l**3/3 - 13*l**2/9 + 5*l/3 = 0?
-3, 0, 1, 5
Solve -i**2 + 952*i - 226576 = 0.
476
Find g such that 4*g**2 - 8464*g + 8460 = 0.
1, 2115
Suppose -k**2 + 1658*k = 0. Calculate k.
0, 1658
Factor d**4/3 - 7*d**3/3 - 40*d**2/3 - 44*d/3.
d*(d - 11)*(d + 2)**2/3
Factor o**3 - 87*o**2 + 86*o.
o*(o - 86)*(o - 1)
Factor 5*b**3 + 45*b**2 + 75*b + 35.
5*(b + 1)**2*(b + 7)
Solve -j**5 + 23*j**4/2 - 77*j**3/2 + 107*j**2/2 - 65*j/2 + 7 = 0 for j.
1/2, 1, 2, 7
Factor 4*b**3/7 - 28*b**2 + 380*b/7 - 188/7.
4*(b - 47)*(b - 1)**2/7
Factor -2*z**3/11 - 8*z**2/11 + 10*z/11.
-2*z*(z - 1)*(z + 5)/11
Let f**2/3 - 9*f = 0. What is f?
0, 27
Factor 2*v**4/3 - 10*v**3/3 + 16*v**2/3 - 8*v/3.
2*v*(v - 2)**2*(v - 1)/3
Let -3*v**4/7 - 261*v**3/7 - 342*v**2 - 6540*v/7 - 792 = 0. Calculate v.
-77, -6, -2
Solve -25*q**3 + 455*q**2 - 90*q = 0.
0, 1/5, 18
Solve -2*i**4/15 - 5176*i**3/15 - 3354044*i**2/15 - 2230856*i/5 - 1114566/5 = 0.
-1293, -1
Factor u**2/2 + 825*u.
u*(u + 1650)/2
Factor 8*f**4 + 82*f**3 - 274*f**2 + 156*f.
2*f*(f - 2)*(f + 13)*(4*f - 3)
Factor -4*w**5 + 152*w**4 - 112*w**3 - 1288*w**2 - 1612*w - 592.
-4*(w - 37)*(w - 4)*(w + 1)**3
Let 3*z**5/8 - 39*z**4/8 + 69*z**3/4 - 33*z**2/2 - 15*z + 24 = 0. What is z?
-1, 2, 8
Solve -3*u**2 + 24*u - 48 = 0.
4
Suppose -3*k**2/7 - 132*k/7 - 864/7 = 0. What is k?
-36, -8
Let 14*y**2/5 - 108*y/5 - 32/5 = 0. Calculate y.
-2/7, 8
Let -2*r**2/7 + 34*r/7 - 12 = 0. Calculate r.
3, 14
Determine h, given that -20*h**5 - 20*h**4 + 55*h**3 + 100*h**2 + 55*h + 10 = 0.
-1, -1/2, 2
Let 3*j**3 + 36*j**2 + 108*j = 0. Calculate j.
-6, 0
Let 4*l**3 - 220*l**2 + 2912*l + 3136 = 0. What is l?
-1, 28
Factor 8*b**2 - 17204*b + 8600.
4*(b - 2150)*(2*b - 1)
Factor -v**2/2 - 16*v - 31/2.
-(v + 1)*(v + 31)/2
Find b, given that b**2 + 92*b + 2116 = 0.
-46
Determine z so that 4*z**3 + 2544*z**2 - 10224*z + 10240 = 0.
-640, 2
Solve 3*i**5/2 - 57*i**4 + 108*i**3 + 3*i**2 - 219*i/2 + 54 = 0 for i.
-1, 1, 36
Determine h so that -2*h**2/15 + 24*h + 362/15 = 0.
-1, 181
Let 722402*r**2/7 + 4808*r/7 + 8/7 = 0. Calculate r.
-2/601
Factor 10*a**3 + 12586*a**2 - 17636*a + 5040.
2*(a - 1)*(a + 1260)*(5*a - 2)
Let -4*k**4 - 2*k**3 + 10*k**2 - 4*k = 0. What is k?
-2, 0, 1/2, 1
Solve 2*s**4/13 - 194*s**3/13 - 596*s**2/13 - 400*s/13 = 0 for s.
-2, -1, 0, 100
Factor h**2/3 - 1516*h/3 + 574564/3.
(h - 758)**2/3
Determine j so that j**2/2 + 29*j/2 + 14 = 0.
-28, -1
Suppose -2*w**5/7 + 48*w**4/7 - 220*w**3/7 - 1048*w**2/7 + 2574*w/7 - 1352/7 = 0. What is w?
-4, 1, 13
Factor -3*z**4 + 672*z**3 + 1353*z**2 + 678*z.
-3*z*(z - 226)*(z + 1)**2
Factor 5*s**3 - 5*s**2 - 20*s + 20.
5*(s - 2)*(s - 1)*(s + 2)
Solve 4*b**5 - 420*b**4 + 8888*b**3 + 117384*b**2 - 8892*b - 116964 = 0.
-9, -1, 1, 57
Suppose 3*t**4 - 3*t**3 - 21*t**2 + 3*t + 18 = 0. What is t?
-2, -1, 1, 3
Factor -x**5/2 + 7*x**4/2 - 6*x**3.
-x**3*(x - 4)*(x - 3)/2
Suppose 5*i**2 - 110*i + 560 = 0. What is i?
8, 14
Find h, given that -5*h**4 - 1085*h**3 + 1090*h**2 = 0.
-218, 0, 1
Suppose 5*m**2 - 20*m - 160 = 0. Calculate m.
-4, 8
Factor -a**3 + 69*a**2 - 1224*a + 1156.
-(a - 34)**2*(a - 1)
Factor u**4/4 - 47*u**3/2 - 191*u**2/4 - 24*u.
u*(u - 96)*(u + 1)**2/4
Suppose 3*u**5/2 - 1221*u**4 - 3672*u**3 - 3675*u**2 - 2451*u/2 = 0. Calculate u.
-1, 0, 817
Factor -x**4/4 - 5*x**3/4 - 3*x**2/4 + 5*x/4 + 1.
-(x - 1)*(x + 1)**2*(x + 4)/4
Let -n**4/8 + n**3/8 + 73*n**2/8 - n/8 - 9 = 0. What is n?
-8, -1, 1, 9
Factor -3*w**2 - 2649*w + 2652.
-3*(w - 1)*(w + 884)
What is n in -2*n**5 + 10*n**4 - 10*n**3 - 10*n**2 + 12*n = 0?
-1, 0, 1, 2, 3
Find n such that 5*n**2 - 40*n + 80 = 0.
4
Suppose -81*d**5/7 - 297*d**4 - 1179*d**3/7 + 4191*d**2/7 - 2088*d/7 + 300/7 = 0. Calculate d.
-25, -2, 1/3, 2/3
What is r in 2*r**3 + 16*r**2 + 34*r + 20 = 0?
-5, -2, -1
Determine z, given that -2*z**2/7 - 76*z/7 - 722/7 = 0.
-19
Factor 5*h**2 - 370*h + 365.
5*(h - 73)*(h - 1)
Factor -5*p**2/3 + 18*p + 11/3.
-(p - 11)*(5*p + 1)/3
Determine t, given that 20*t**5 + 64*t**4 - 328*t**3 - 848*t**2 - 556*t - 80 = 0.
-5, -1, -1/5, 4
Factor 3*o**2/5 - 69*o/5 - 72/5.
3*(o - 24)*(o + 1)/5
Factor -4*c**2 + 592*c - 21904.
-4*(c - 74)**2
Determine t, given that 2*t**4 - 12*t**2 + 16*t - 6 = 0.
-3, 1
Factor -5*q**4 + 30*q**3 - 40*q**2.
-5*q**2*(q - 4)*(q - 2)
Determine r, given that 5*r**4/2 + 455*r**3/2 + 1305*r**2 + 2570*r + 1700 = 0.
-85, -2
Factor 3*g**4/5 - 66*g**3/5 + 504*g**2/5 - 1536*g/5 + 1536/5.
3*(g - 8)**2*(g - 4)*(g - 2)/5
Find u, given that -3*u**2/4 - 39*u/2 = 0.
-26, 0
Suppose -2*z**3/13 + 4*z**2/13 + 2*z/13 - 4/13 = 0. Calculate z.
-1, 1, 2
Determine c, given that 2*c**5/9 - 22*c**4/3 - 46*c**3/3 - 70*c**2/9 = 0.
-1, 0, 35
Let 2*v**2/9 + 4*v - 230/9 = 0. What is v?
-23, 5
Determine i so that i**4/3 + 316*i**3/3 - 635*i**2/3 + 106*i = 0.
-318, 0, 1
Let -2*y**3 + 26*y**2 - 46*y + 22 = 0. What is y?
1, 11
Solve 46*l**5/5 + 464*l**4/5 - 6*l**3/5 - 464*l**2/5 - 8*l = 0.
-10, -1, -2/23, 0, 1
Factor -g**5/2 + 13*g**4 + 80*g**3 - 2800*g**2.
-g**2*(g - 20)**2*(g + 14)/2
Solve 6*s**5/13 - 64*s**4/13 + 118*s**3/13 + 308*s**2/13 - 24*s/13 - 144/13 = 0.
-1, 2/3, 6
Factor -3*f**2/8 - 399*f/8 + 423.
-3*(f - 8)*(f + 141)/8
Let -2*a**2/5 + 8*a/5 = 0. What is a?
0, 4
Solve 13*w**3 - 1224*w**2 - 2308*w + 384 = 0 for w.
-2, 2/13, 96
Factor 4*a**4 - 84*a**3 - 12*a**2 + 244*a + 168.
4*(a - 21)*(a - 2)*(a + 1)**2
Factor -4*l**2 + 204*l + 208.
-4*(l - 52)*(l + 1)
Suppose 3*w**4/7 - 15*w**3/7 + 15*w**2/7 + 15*w/7 - 18/7 = 0. Calculate w.
-1, 1, 2, 3
Factor -4*d**3 + 16*d**2 - 20*d + 8.
-4*(d - 2)*(d - 1)**2
Factor -2*y**2/7 + 372*y - 121086.
-2*(y - 651)**2/7
Factor 2*u**3/9 - 106*u**2/3 + 4160*u/3 + 12800/9.
2*(u - 80)**2*(u + 1)/9
Factor 14*a**4/11 - 34*a**3/11 + 12*a**2/11.
2*a**2*(a - 2)*(7*a - 3)/11
Let -5*j**3 - 5*j**2 + 25*j - 15 = 0. What is j?
-3, 1
Determine m so that -45*m**5 + 440*m**4 - 935*m**3 + 400*m**2 + 140*m = 0.
-2/9, 0, 1, 2, 7
Suppose 111005*o**2 + 67050*o + 10125 = 0. What is o?
-45/149
Factor -j**3/2 - 415*j**2.
-j**2*(j + 830)/2
Find y such that -2*y**4 + 232*y**3 - 6728*y**2 = 0.
0, 58
Find i such that 3*i**2 + 114*i + 495 = 0.
-33, -5
Suppose 2*p**5 + 102*p**4 + 1734*p**3 + 9826*p**2 = 0. What is p?
-17, 0
Factor 3*t**3/4 - 21*t**2/4 - 441*t.
3*t*(t - 28)*(t + 21)/4
Factor o**2/9 + 58*o/9 + 19/3.
(o + 1)*(o + 57)/9
Suppose 2*o**5 + 4*o**4 - 32*o**3 - 4*o**2 + 30*o = 0. Calculate o.
-5, -1, 0, 1, 3
Factor 5*f**3 - 405*f**2 + 9720*f - 58320.
5*(f - 36)**2*(f - 9)
Factor 5*l**2 + 231*l + 46.
(l + 46)*(5*l + 1)
Suppose 3*p**4 - 99*p**3 + 1089*p**2 - 3993*p = 0. Calculate p.
0, 11
Find j, given that 2*j**5/9 + 16*j**4/9 - 1108*j**3/9 - 1520*j**2/3 + 18050*j = 0.
-19, 0, 15
Factor c**2 + 5*c + 6.
(c + 2)*(c + 3)
Solve -c**4/5 + 4*c**3/5 + 3*c**2/5 - 14*c/5 + 8/5 = 0 for c.
-2, 1, 4
Determine o so that 2*o**2/21 + 2*o/3 - 12/7 = 0.
-9, 2
Determine w so that 4*w**5 - 3004*w**4 + 845248*w**3 - 105466496*w**2 + 4890478592*w + 4996793344 = 0.
-1, 188
Solve -8*n**5/11 - 96*n**4/11 - 218*n**3/11 + 54*n**2 + 2620*n/11 + 2400/11 = 0.
-8, -5/2, -2, 3
Solve 5*m**4 + 70*m**3 + 365*m**2 + 840*m + 720 = 0.
-4, -3
Factor 2*n**3 - 2*n**2 - 4*n.
2*n*(n - 2)*(n + 1)
Factor 2*b**3 - 26*b**2.
2*b**2*(b - 13)
Factor -4*v**3 - 3816*v**2 - 1213488*v - 128629728.
-4*(v + 318)**3
Factor 2*g**2/3 + 8*g + 24.
2*(g + 6)**2/3
Solve 22*u**4 - 562*u**3 + 278*u**2 + 562*u - 300 = 0 for u.
-1, 6/11, 1, 25
Factor -5*o**2/4 + 160*o - 635/4.
-5*(o - 127)*(o - 1)/4
Solve -5*r**2 - 5365*r - 5360 = 0.
-1072, -1
Factor 2*z**4/7 + 1154*z**3/7 - 996*z**2 + 13976*z/7 - 9328/7.
2*(z - 2)**3*(z + 583)/7
Factor 4*w**4 - 2676*w**3 + 599400*w**2 - 45538416*w + 131292576.
4*(w - 222)**3*(w - 3)
Factor 3*w**4 -