uppose -13*k**2/3 - 287*k/3 - 22/3 = 0. Calculate k.
-22, -1/13
Factor 4*l**3 - 56*l**2 - 220*l + 272.
4*(l - 17)*(l - 1)*(l + 4)
Factor 3*v**5 - 39*v**4 + 198*v**3 - 486*v**2 + 567*v - 243.
3*(v - 3)**4*(v - 1)
Solve 5*x**3 - 30*x**2 - 500*x - 840 = 0 for x.
-6, -2, 14
Suppose -8*t**5/5 - 8*t**4/5 - 2*t**3/5 = 0. What is t?
-1/2, 0
Factor -4*q**3 + 67*q**2 - 304*q + 192.
-(q - 8)**2*(4*q - 3)
Determine m, given that m**4 - m**3 - 6*m**2 = 0.
-2, 0, 3
Solve -5*l**4 - 20*l**3 - 15*l**2 = 0.
-3, -1, 0
Factor -80*n**4/3 + 2440*n**3/3 - 16685*n**2/3 - 9760*n - 3840.
-5*(n - 16)**2*(4*n + 3)**2/3
Find f, given that -f**5/5 + 16*f**4/5 - 41*f**3/5 + 26*f**2/5 = 0.
0, 1, 2, 13
Factor m**3 - 11*m**2 + 8*m + 20.
(m - 10)*(m - 2)*(m + 1)
Find m such that -259*m**2 - 1293*m + 10 = 0.
-5, 2/259
Factor 102*s**3 + 195*s**2 + 84*s - 9.
3*(s + 1)**2*(34*s - 3)
What is r in 5*r**3/3 - 83*r**2/3 - 1574*r/3 - 616/3 = 0?
-11, -2/5, 28
Suppose 2*u**2/15 + 32*u/15 - 34/15 = 0. What is u?
-17, 1
Factor -2*i**2/3 + 130*i/3 - 128/3.
-2*(i - 64)*(i - 1)/3
Factor u**3/4 - 20*u**2 + 357*u + 1764.
(u - 42)**2*(u + 4)/4
Factor -4*r**2 - 1688*r - 178084.
-4*(r + 211)**2
Factor 3*m**5/5 - 9*m**4/5 + 6*m**3/5.
3*m**3*(m - 2)*(m - 1)/5
Determine k so that 12*k**3/7 + 435*k**2/7 + 108*k/7 = 0.
-36, -1/4, 0
Factor -3*t**3 - 30*t**2 + 267*t + 630.
-3*(t - 7)*(t + 2)*(t + 15)
Factor -14*i**3 + 430*i**2 - 688*i - 232.
-2*(i - 29)*(i - 2)*(7*i + 2)
Let -10*l**5/3 + 735*l**4/2 - 265*l**3/3 - 735*l**2/2 + 275*l/3 = 0. What is l?
-1, 0, 1/4, 1, 110
Factor 2*h**4/3 - 10*h**3/3 - 14*h**2/3 + 10*h/3 + 4.
2*(h - 6)*(h - 1)*(h + 1)**2/3
Factor 2*t**2 - 1976*t + 488072.
2*(t - 494)**2
Factor 3*r**2 + 8604*r + 6169068.
3*(r + 1434)**2
Factor -5*m**2 - 505*m.
-5*m*(m + 101)
Suppose -7*g**5/3 + 3*g**4 + 4*g**3 - 4*g**2/3 = 0. Calculate g.
-1, 0, 2/7, 2
Factor p**3/7 - 39*p**2/7 + 368*p/7.
p*(p - 23)*(p - 16)/7
Determine a, given that -3*a**2/4 - 27*a - 465/4 = 0.
-31, -5
Suppose -5*x**5 - 1335*x**4 + 2690*x**3 - 10*x**2 - 2685*x + 1345 = 0. What is x?
-269, -1, 1
Factor 4*q**3 - 644*q**2 + 1260*q + 1908.
4*(q - 159)*(q - 3)*(q + 1)
Determine d, given that -35*d**3 - 445*d**2 - 920*d + 300 = 0.
-10, -3, 2/7
Factor 3*r**3 + 22*r**2 + 5*r - 14.
(r + 1)*(r + 7)*(3*r - 2)
Factor 6*a**4/7 + 12*a**3 + 150*a**2/7 + 72*a/7.
6*a*(a + 1)**2*(a + 12)/7
Let -z**4 + 7*z**3 - 16*z**2 + 12*z = 0. Calculate z.
0, 2, 3
Factor -n**3 + 26*n**2 + 187*n + 160.
-(n - 32)*(n + 1)*(n + 5)
What is p in 5*p**3 + 16*p**2 + 13*p + 2 = 0?
-2, -1, -1/5
Solve 20*h**4 - 5*h**3 - 60*h**2 + 55*h - 10 = 0 for h.
-2, 1/4, 1
Let b**3/5 - 6*b**2/5 - 21*b - 98/5 = 0. What is b?
-7, -1, 14
Factor -k**3/4 - 181*k**2/4 - 2070*k - 2025.
-(k + 1)*(k + 90)**2/4
Let -o**5 - 35*o**4 - 286*o**3 + 396*o**2 + 648*o = 0. Calculate o.
-18, -1, 0, 2
Let -f**4 + 22*f**2 + 24*f - 45 = 0. What is f?
-3, 1, 5
Determine q, given that -3*q**4 + 1560*q**3 - 202797*q**2 - 1560*q + 202800 = 0.
-1, 1, 260
Factor 5*q**2 - 45.
5*(q - 3)*(q + 3)
Factor -2*b**2/13 + 66*b/13 + 296/13.
-2*(b - 37)*(b + 4)/13
Factor -q**3/9 + 10*q**2/3 - 33*q + 968/9.
-(q - 11)**2*(q - 8)/9
Factor -2*r**3/5 + 6*r**2/5 + 8*r/5.
-2*r*(r - 4)*(r + 1)/5
Let -f**4/4 - 7*f**3/4 - 7*f**2/2 - 2*f = 0. Calculate f.
-4, -2, -1, 0
Solve -2*m**2/9 + 514*m/9 - 1328/3 = 0.
8, 249
Solve -15*q**5/2 + 10*q**4 + 20*q**3 - 15*q**2 - 25*q/2 + 5 = 0 for q.
-1, 1/3, 1, 2
Factor -3*m**4 - 90*m**3 - 723*m**2 - 1908*m - 1596.
-3*(m + 2)**2*(m + 7)*(m + 19)
Find i such that 57*i**3 + 108*i**2 - 12*i = 0.
-2, 0, 2/19
Find q such that 3*q**5/2 + 66*q**4 + 1014*q**3 + 6336*q**2 + 13824*q = 0.
-16, -6, 0
Solve k**2/9 + 37*k/9 + 30 = 0 for k.
-27, -10
Solve -5*r**4 + 110*r**3 - 240*r**2 - 830*r - 475 = 0 for r.
-1, 5, 19
Determine g, given that 3*g**5/5 - 21*g**4/5 + 51*g**3/5 - 51*g**2/5 + 18*g/5 = 0.
0, 1, 2, 3
Suppose -4*o**4 + 544*o**3 + 2792*o**2 + 3936*o + 1692 = 0. What is o?
-3, -1, 141
Factor -3*m**4/2 - 3*m**3 + 33*m**2/2 + 18*m.
-3*m*(m - 3)*(m + 1)*(m + 4)/2
Factor -3*m**3 + 12*m**2 + 15*m.
-3*m*(m - 5)*(m + 1)
Determine g, given that 2*g**4/9 + 14*g**3/3 + 76*g**2/3 + 472*g/9 + 112/3 = 0.
-14, -3, -2
Suppose -2*u**4 - 6*u**3 + 36*u**2 - 8*u - 48 = 0. What is u?
-6, -1, 2
Suppose 4*p**2/5 + 52*p/5 - 56/5 = 0. Calculate p.
-14, 1
Factor -u**3 + 26*u**2 - 129*u + 180.
-(u - 20)*(u - 3)**2
Factor s**2/6 - 233*s/3 + 464/3.
(s - 464)*(s - 2)/6
Factor o**3 - 135*o**2 - 138*o + 272.
(o - 136)*(o - 1)*(o + 2)
Factor 2*b**4 + 14*b**3 + 24*b**2 - 8*b - 32.
2*(b - 1)*(b + 2)**2*(b + 4)
Determine i so that 3*i**4/2 - 39*i**3/2 - 207*i**2/2 + 39*i/2 + 102 = 0.
-4, -1, 1, 17
Factor 3*y**4 - 153*y**3 + 2166*y**2 - 5472*y + 3456.
3*(y - 24)**2*(y - 2)*(y - 1)
Factor -4*l**2 + 76*l + 368.
-4*(l - 23)*(l + 4)
Solve -2*d**4 + 2*d**3 + 2*d**2 - 2*d = 0.
-1, 0, 1
Determine m, given that 2*m**5/9 - 4*m**4/3 + 14*m**3/9 + 4*m**2/3 - 16*m/9 = 0.
-1, 0, 1, 2, 4
Let 2*v**2 + 2512*v + 788768 = 0. Calculate v.
-628
Solve -25*a**2 + 160*a - 256 = 0 for a.
16/5
Factor d**3/3 + 2*d**2 + 11*d/3 + 2.
(d + 1)*(d + 2)*(d + 3)/3
Find o such that -180*o**4 + 4*o**3 + 720*o**2 - 16*o = 0.
-2, 0, 1/45, 2
Let d**3 - 3*d**2 + 4 = 0. Calculate d.
-1, 2
Find p, given that 2*p**4/7 - 54*p**3 + 17666*p**2/7 + 18810*p/7 - 36100/7 = 0.
-2, 1, 95
Factor -2*p**3/5 - 2*p**2/5 + 34*p/5 - 6.
-2*(p - 3)*(p - 1)*(p + 5)/5
Solve 18*v**3/11 + 654*v**2/11 + 1998*v/11 + 54 = 0.
-33, -3, -1/3
Factor -4*z**3 + 6792*z**2 - 2883204*z.
-4*z*(z - 849)**2
Factor -20*q**3 + 65*q**2 + 175*q.
-5*q*(q - 5)*(4*q + 7)
Solve 2*y**2 + 132*y = 0 for y.
-66, 0
Factor -4*z**2/3 + 224*z/3 + 76.
-4*(z - 57)*(z + 1)/3
Solve 3*s**4/5 + 84*s**3/5 + 69*s**2 = 0 for s.
-23, -5, 0
Factor 4*s**3 - 160*s**2 + 156*s.
4*s*(s - 39)*(s - 1)
Let -6*h**5/7 + 354*h**4/7 + 54*h**3 - 150*h**2 - 1788*h/7 - 720/7 = 0. What is h?
-1, 2, 60
Solve 3*j**5/2 - 15*j**4/2 + 3*j**3/2 + 39*j**2/2 - 3*j - 12 = 0.
-1, 1, 2, 4
Factor j**2/4 - 157*j/2 - 315/4.
(j - 315)*(j + 1)/4
Suppose -162*o**3 + 1530*o**2 - 656*o + 72 = 0. Calculate o.
2/9, 9
What is x in x**3/5 - 11*x**2/5 - x/5 + 11/5 = 0?
-1, 1, 11
Factor 4*t**3 + 980*t**2 + 1948*t + 972.
4*(t + 1)**2*(t + 243)
Factor -75*f**2/8 + 8805*f/2 - 1033707/2.
-3*(5*f - 1174)**2/8
What is p in 2*p**4/7 + 2*p**3 + 32*p**2/7 + 24*p/7 = 0?
-3, -2, 0
Let 9*i**5/8 + 267*i**4/8 + 2397*i**3/8 + 6045*i**2/8 + 1521*i/4 = 0. Calculate i.
-13, -3, -2/3, 0
Determine v so that -v**3 + 3*v**2 + 45*v + 81 = 0.
-3, 9
Factor -4*y**2/3 + 93*y + 70/3.
-(y - 70)*(4*y + 1)/3
Factor -2*z**3/13 - 16*z**2/13 - 32*z/13.
-2*z*(z + 4)**2/13
Determine s so that 400*s**5 - 580*s**4 - 1556*s**3 - 864*s**2 - 144*s = 0.
-3/4, -2/5, 0, 3
Factor 36*g**3 + 280*g**2 - 64*g.
4*g*(g + 8)*(9*g - 2)
Factor -3*q**4 - 117*q**3 + 246*q**2.
-3*q**2*(q - 2)*(q + 41)
Suppose 3036*b**2 - 8*b = 0. Calculate b.
0, 2/759
Determine u so that u**2/2 - 51*u/2 = 0.
0, 51
Find u such that -25*u**3 + 1660*u**2 + 1015*u - 670 = 0.
-1, 2/5, 67
Let 6*o**4/11 + 12*o**3/11 - 78*o**2/11 + 60*o/11 = 0. Calculate o.
-5, 0, 1, 2
Determine r, given that -35*r**3 + 41290*r**2 + 53135*r + 11810 = 0.
-1, -2/7, 1181
What is m in -4*m**2/5 + 80*m - 2000 = 0?
50
Let -n**4 - 15*n**3 - 8*n**2 + 84*n = 0. What is n?
-14, -3, 0, 2
Determine n so that -n**2/9 + 268*n/9 - 17956/9 = 0.
134
Factor c**4 - 14*c**3 - 52*c**2 + 344*c - 384.
(c - 16)*(c - 2)**2*(c + 6)
Let -4*k**2 - 28*k + 176 = 0. Calculate k.
-11, 4
Let 75*w**3 + 2635*w**2 - 5200*w - 740 = 0. Calculate w.
-37, -2/15, 2
Factor 3*n**2/5 + 1437*n/5 + 1422.
3*(n + 5)*(n + 474)/5
Factor -3*i**2 + 102*i + 216.
-3*(i - 36)*(i + 2)
Let 3*u**4 - 237*u**3 + 4779*u**2 - 3159*u - 27378 = 0. Calculate u.
-2, 3, 39
Let -2*a**3/11 + 2*a**2/11 + 20*a/11 + 16/11 = 0. Calculate a.
-2, -1, 4
Determine p, given that -p**5/2 + 98*p**4 - 381*p**3 - 578*p**2 + 763*p/2 + 480 = 0.
-1, 1, 5, 192
Let 4*b**5 + 28*b**4 + 16*b**3 - 48*b**2 = 0. Calculate b.
-6, -2, 0, 1
Find f such that -2*f**3/9 - 70*f**2/9 + 8*f = 0.
-36, 0, 1
Determine t so that -202*t**2/3 + 212*t/3 - 10/3 = 0.
5/101, 1
Let 15*f**5 + 1119*f**4 - 2775*f**3 - 195*f**2 + 2760*f - 924 = 0. What is f?
-77, -1, 2/5, 1, 2
Factor -i**5 - 35*i**4 + 253*i**3 + 287*i**2.
-i**2*(i - 7)*(i + 1)*(i + 41)
Let 32*n**3 - 178*n**2/3 + 68*n/3 + 