-4*r**5 + 208*r**4 - 400*r**3 - 8*r**2 + 404*r - 200 = 0.
-1, 1, 50
Factor 2*p**2/9 - 22*p/9 + 4.
2*(p - 9)*(p - 2)/9
Factor -2*x**5/7 + 20*x**4/7 - 64*x**3/7 + 64*x**2/7.
-2*x**2*(x - 4)**2*(x - 2)/7
Factor -3*z**3/2 + 18039*z**2/2 - 13563072*z + 13554054.
-3*(z - 3006)**2*(z - 1)/2
Factor 2*i**2 - 94*i + 420.
2*(i - 42)*(i - 5)
Factor 2*m**2 + 190*m.
2*m*(m + 95)
Factor -16*l**2/17 - 122*l/17 - 70/17.
-2*(l + 7)*(8*l + 5)/17
Factor -18*s**3 - 58*s**2 - 48*s - 8.
-2*(s + 1)*(s + 2)*(9*s + 2)
Factor b**2/4 - 45*b/2 - 279/4.
(b - 93)*(b + 3)/4
Factor 4*q**2/3 - 400*q/3 + 10000/3.
4*(q - 50)**2/3
Factor 2*y**2/9 - 4*y/9 - 1150/9.
2*(y - 25)*(y + 23)/9
Let -25*x**5 - 115*x**4 + 275*x**3 + 1035*x**2 - 450*x = 0. Calculate x.
-5, -3, 0, 2/5, 3
Let q**2/2 - 195*q/2 + 475 = 0. What is q?
5, 190
Suppose -2*k**4/5 + 2*k**3/5 + 18*k**2/5 - 18*k/5 = 0. What is k?
-3, 0, 1, 3
Factor -h**4/4 + 3*h**3 + 7*h**2.
-h**2*(h - 14)*(h + 2)/4
Factor -5*d**4 + 1145*d**3 + 1150*d**2.
-5*d**2*(d - 230)*(d + 1)
Determine s, given that s**5 + 3*s**4 - 38*s**3 + 36*s**2 + 136*s - 192 = 0.
-8, -2, 2, 3
Determine y, given that 4*y**4 + 28*y**3 - 256*y**2 - 112*y + 960 = 0.
-12, -2, 2, 5
Solve 3*r**5/5 - 6*r**4/5 - 3*r**3 + 18*r**2/5 = 0.
-2, 0, 1, 3
Factor -6*s**3/11 - 26*s**2/11 - 8*s/11.
-2*s*(s + 4)*(3*s + 1)/11
Factor 4*f**4 + 52*f**3 + 204*f**2 + 252*f.
4*f*(f + 3)**2*(f + 7)
What is c in -4*c**4 - 44*c**3 - 20*c**2 + 188*c - 120 = 0?
-10, -3, 1
Factor q**4 + 130*q**3.
q**3*(q + 130)
Determine z so that 2*z**4/5 + 1242*z**3/5 + 257094*z**2/5 + 17739486*z/5 = 0.
-207, 0
What is m in 7*m**3 - 72*m**2 + 132*m - 32 = 0?
2/7, 2, 8
Find k, given that k**5 - k**4 - 2*k**3 = 0.
-1, 0, 2
Find x, given that 6*x**4 + 21*x**3 - 9*x**2 - 54*x = 0.
-3, -2, 0, 3/2
Factor -l**2/3 - 15*l.
-l*(l + 45)/3
Factor -3*d**2/4 + 21*d/2 + 153/4.
-3*(d - 17)*(d + 3)/4
Solve -2*i**2 - 12*i - 18 = 0 for i.
-3
Suppose -f**3/12 + f**2/12 + 10*f/3 - 28/3 = 0. What is f?
-7, 4
Suppose 49*k**3/3 - 1736*k**2/3 - 1004*k/3 - 48 = 0. What is k?
-2/7, 36
Let 9*x**5 - 42*x**4 + 66*x**3 - 36*x**2 - 3*x + 6 = 0. Calculate x.
-1/3, 1, 2
Factor 3*f**3 - 1659*f**2 + 230184*f - 228528.
3*(f - 276)**2*(f - 1)
Factor -2*m**4 + 34*m**3 - 30*m**2 - 34*m + 32.
-2*(m - 16)*(m - 1)**2*(m + 1)
Solve 2*t**4 - 378*t**3 - 1148*t**2 - 768*t = 0.
-2, -1, 0, 192
Factor 2*w**3/11 + 36*w**2/11 + 64*w/11.
2*w*(w + 2)*(w + 16)/11
Determine u so that -4*u**3/5 - 13*u**2 - 128*u/5 - 28/5 = 0.
-14, -2, -1/4
Factor 3*v**3/4 - 135*v**2/2 - 549*v/4 - 69.
3*(v - 92)*(v + 1)**2/4
Solve -y**4/3 - 8*y**3 + 78*y**2 + 1512*y - 11907 = 0 for y.
-21, 9
Determine l so that -l**2 + l + 2 = 0.
-1, 2
Find u such that -u**2/6 + 37*u/3 + 76/3 = 0.
-2, 76
Let 12*p**5 + 28*p**4/3 - 152*p**3/3 - 112*p**2/3 + 32*p/3 = 0. Calculate p.
-2, -1, 0, 2/9, 2
Factor -2*f**4 + 14*f**3 - 28*f**2 + 16*f.
-2*f*(f - 4)*(f - 2)*(f - 1)
Find m, given that -m**5/2 - m**4/2 + 11*m**3/2 + 29*m**2/2 + 13*m + 4 = 0.
-2, -1, 4
Let -d**5/6 - 2*d**4 + 11*d**3/6 + 25*d**2 + 112*d/3 + 16 = 0. Calculate d.
-12, -2, -1, 4
Factor 3*n**5 - 6*n**4 + 6*n**2 - 3*n.
3*n*(n - 1)**3*(n + 1)
Factor 4*i**2/5 + 408*i/5 + 10404/5.
4*(i + 51)**2/5
Determine s so that 2*s**3 + 6*s**2 - 32*s + 24 = 0.
-6, 1, 2
What is r in r**2/4 + 17*r/4 - 19/2 = 0?
-19, 2
Suppose 392*i**5 + 6692*i**4 + 17840*i**3 + 14080*i**2 + 4288*i + 448 = 0. Calculate i.
-14, -2, -1/2, -2/7
Let -3*k**5/2 - 7*k**4/2 + 3*k**3/2 + 11*k**2/2 - 2 = 0. Calculate k.
-2, -1, 2/3, 1
Solve 26*t**3/9 - 334*t**2/9 - 52*t/9 = 0.
-2/13, 0, 13
Determine h so that -2*h**3 - 2*h**2 = 0.
-1, 0
Factor 2*f**3 + 154*f**2/19 + 8*f/19.
2*f*(f + 4)*(19*f + 1)/19
Find l such that -4*l**5 + 88*l**4 - 420*l**3 + 592*l**2 - 256*l = 0.
0, 1, 4, 16
Determine u so that 18*u**5 + 94*u**4 - 34*u**3 - 246*u**2 + 128*u + 40 = 0.
-5, -2, -2/9, 1
Determine k, given that -3*k**5 + 34*k**4/3 + 8*k**3/3 - 48*k**2 + 112*k/3 + 32/3 = 0.
-2, -2/9, 2
Factor -36*c**2 - 64*c + 16.
-4*(c + 2)*(9*c - 2)
Factor -3*w**3/5 - 81*w**2/5 - 477*w/5 + 561/5.
-3*(w - 1)*(w + 11)*(w + 17)/5
Factor -g**3/3 - 11*g**2 - 96*g - 256/3.
-(g + 1)*(g + 16)**2/3
Find q such that -4*q**5 + 33*q**4 - 54*q**3 + 25*q**2 = 0.
0, 1, 25/4
Suppose 2*o**5 - 54*o**3 + 100*o**2 - 48*o = 0. Calculate o.
-6, 0, 1, 4
Factor -5*z**5 - 75*z**4 + 255*z**3 - 265*z**2 + 90*z.
-5*z*(z - 1)**3*(z + 18)
Solve -121*f**5/6 + 1958*f**4/3 - 19340*f**3/3 + 54272*f**2/3 - 17864*f/3 + 1568/3 = 0.
2/11, 4, 14
Factor -w**3/4 - 83*w**2/4 - 41*w/2.
-w*(w + 1)*(w + 82)/4
Factor 3*p**4 - 78*p**3 - 165*p**2 - 84*p.
3*p*(p - 28)*(p + 1)**2
Suppose k**3/3 - 23*k**2/3 - 558*k = 0. What is k?
-31, 0, 54
Determine t, given that -5*t**3 + 45*t**2 + 180*t = 0.
-3, 0, 12
Find w such that -2*w**3 - 193*w**2 + 97*w = 0.
-97, 0, 1/2
Factor 3*c**4/7 + 30*c**3/7 - 12*c**2/7 - 120*c/7.
3*c*(c - 2)*(c + 2)*(c + 10)/7
Factor -2*j**3 + 58*j**2 - 148*j - 208.
-2*(j - 26)*(j - 4)*(j + 1)
Factor -j**2 + 24*j - 44.
-(j - 22)*(j - 2)
Factor 3*x**4/5 - 6*x**3/5 - 9*x**2/5 + 12*x/5 + 12/5.
3*(x - 2)**2*(x + 1)**2/5
Factor -5*m**2 - 4210*m - 886205.
-5*(m + 421)**2
Let -2*d**2/3 - 250*d/3 + 1300/3 = 0. Calculate d.
-130, 5
Solve -2*p**4/5 - 78*p**3 + 2388*p**2/5 - 4808*p/5 + 3216/5 = 0 for p.
-201, 2
Let 4*v**3 + 4*v**2 - 16*v - 16 = 0. Calculate v.
-2, -1, 2
Let 2*w**2/11 + 3658*w/11 - 7324/11 = 0. What is w?
-1831, 2
Suppose 3*u**5 + 155*u**4 + 1866*u**3 + 6168*u**2 - 3584*u - 4608 = 0. What is u?
-36, -8, -2/3, 1
Solve -4*s**2 + 8100*s/7 - 2312/7 = 0 for s.
2/7, 289
Factor 5*i**3 + 25*i**2 + 40*i + 20.
5*(i + 1)*(i + 2)**2
Factor 5*t**2 - 175*t + 170.
5*(t - 34)*(t - 1)
Find a, given that -2*a**2/17 - 24916*a/17 - 77600882/17 = 0.
-6229
Suppose 5*o**5/2 + 9*o**4 - 23*o**3/2 - 22*o**2 + 30*o - 8 = 0. What is o?
-4, -2, 2/5, 1
Solve -2*h**4/9 - 8*h**3/3 - 32*h**2/9 + 32*h/3 + 160/9 = 0.
-10, -2, 2
Factor -4*o**2 + 504*o - 15876.
-4*(o - 63)**2
Suppose 3*l**2/4 + 3687*l/4 + 3681/2 = 0. What is l?
-1227, -2
Factor -5*x**2/3 - 6770*x - 6874935.
-5*(x + 2031)**2/3
Let 10*k**3 - 35*k**2 - 85*k + 50 = 0. Calculate k.
-2, 1/2, 5
Determine g so that 2*g**2/3 - 4*g/3 - 16/3 = 0.
-2, 4
Factor 4*r**4 + 920*r**3 + 53812*r**2 + 104880*r + 51984.
4*(r + 1)**2*(r + 114)**2
Suppose 2*s**5/5 - 8*s**4/5 + 8*s**3/5 = 0. Calculate s.
0, 2
Determine o so that 3*o**3 - 138*o**2 - 441*o = 0.
-3, 0, 49
Suppose -x**3/4 + 975*x**2/4 - 316875*x/4 + 34328125/4 = 0. What is x?
325
Let -3*l**5 - 43*l**4 - 197*l**3 - 313*l**2 - 192*l - 36 = 0. Calculate l.
-6, -1, -1/3
Let -n**4/2 - 15*n**3/2 - 37*n**2 - 66*n - 36 = 0. Calculate n.
-6, -2, -1
Factor -t**4 - 1678*t**3 - 698869*t**2 + 4238628*t - 6380676.
-(t - 3)**2*(t + 842)**2
Solve -6*x**5/5 + 76*x**4/5 - 232*x**3/5 + 208*x**2/5 = 0.
0, 2, 26/3
Let -28*t**5 + 148*t**4 + 576*t**3 + 272*t**2 - 128*t = 0. Calculate t.
-2, -1, 0, 2/7, 8
Solve -3*x**4 + 18*x**3 - 21*x**2 - 18*x + 24 = 0.
-1, 1, 2, 4
Factor 4*w**3 - 5200*w**2 + 1690000*w.
4*w*(w - 650)**2
Suppose -2*p**4 - 212*p**3 + 1096*p**2 - 1548*p + 666 = 0. Calculate p.
-111, 1, 3
Let -2*i**4/21 - 4904*i**3/21 - 1503076*i**2/7 - 1842771176*i/21 - 282404682722/21 = 0. Calculate i.
-613
Factor -3*n**2 + 36*n - 108.
-3*(n - 6)**2
Factor -25*x**3 + 330*x**2 - 365*x + 60.
-5*(x - 12)*(x - 1)*(5*x - 1)
Let 3*n**2 - 1332*n + 147852 = 0. Calculate n.
222
Find b, given that -b**5/7 - 18*b**4/7 + b**3/7 + 18*b**2/7 = 0.
-18, -1, 0, 1
Solve -3*h**2/2 + 75/2 = 0 for h.
-5, 5
Factor -2*i**2/19 + 42*i/19 - 4.
-2*(i - 19)*(i - 2)/19
Find o, given that -o**3/5 - o**2 - 7*o/5 - 3/5 = 0.
-3, -1
Solve -3*n**3 - 54*n**2 + 117*n - 60 = 0 for n.
-20, 1
Let -5*d**3 + 160*d**2 - 835*d - 1000 = 0. Calculate d.
-1, 8, 25
Determine d so that -3*d**4 - 87*d**3 + 2178*d**2 - 7572*d + 7176 = 0.
-46, 2, 13
Suppose 2*a**4/11 + 30*a**3/11 + 4*a**2 - 120*a/11 - 208/11 = 0. What is a?
-13, -2, 2
Factor -h**2/2 + 58*h - 714.
-(h - 102)*(h - 14)/2
What is n in 8*n**4/11 + 16*n**3/11 - 2*n**2/11 - 4*n/11 = 0?
-2, -1/2, 0, 1/2
Find g, given that -2*g**3/7 + 46*g**2/7 + 48*g/7 = 0.
-1, 0, 24
Factor o**4/2 - 4*o**3 + 11*o**2/2 + 10*o.
o*(o - 5)*(o - 4)*(o + 1)/2
What is y in 4*y**5 - 4*y**4 - 8*y**3 + 8*y**2 + 4*y - 4 = 0?
-1, 1
Determine r so that 2*r**3/3 + 38*r**2/3 - 44*r/3 - 80/3 = 0.
-20, -1, 2
Solve 4*y