**2 + q - 6 = 0.
-1, 1, 6
Find t, given that -16*t**5 - 9044*t**4 - 1292612*t**3 - 4112716*t**2 - 947532*t = 0.
-281, -3, -1/4, 0
Factor -u**3/3 + 784*u**2/3 - 1564*u/3.
-u*(u - 782)*(u - 2)/3
Factor 5*m**2 + 98410*m + 484226405.
5*(m + 9841)**2
Let k**4/5 + 3*k**3/5 - k**2 - 3*k/5 + 4/5 = 0. Calculate k.
-4, -1, 1
Factor -2*k**2/5 + 98*k/5 + 312/5.
-2*(k - 52)*(k + 3)/5
Suppose -2*g**3/21 - 10*g**2/21 - 2*g/7 + 6/7 = 0. What is g?
-3, 1
What is d in -3*d**2 - 1017*d = 0?
-339, 0
Find x, given that -x**5/3 + 3*x**4 + 37*x**3/3 - 55*x**2 = 0.
-5, 0, 3, 11
Factor -4*y**4 + 616*y**3 - 24916*y**2 + 92400*y - 90000.
-4*(y - 75)**2*(y - 2)**2
Determine m so that -3*m**3 + 60*m**2 + 783*m = 0.
-9, 0, 29
Factor o**5/5 - 19*o**4/5 + 114*o**3/5 - 224*o**2/5 + 128*o/5.
o*(o - 8)**2*(o - 2)*(o - 1)/5
Let -2*o**3/5 + 882*o**2/5 - 129654*o/5 + 6353046/5 = 0. What is o?
147
Factor -1372*v**5 - 5292*v**4 - 3864*v**3 - 1040*v**2 - 96*v.
-4*v*(v + 3)*(7*v + 2)**3
Find u, given that -2*u**5/5 + 44*u**4/5 - 24*u**3 + 116*u**2/5 - 38*u/5 = 0.
0, 1, 19
Factor -2*w**3 - 8*w**2 - 6*w.
-2*w*(w + 1)*(w + 3)
Determine k so that -4*k**3 + 376*k**2 - 9200*k + 16928 = 0.
2, 46
Factor -5*w**3 - 20*w**2 + 35*w + 50.
-5*(w - 2)*(w + 1)*(w + 5)
Determine o so that 45*o**3 - 820*o**2 + 1620*o - 320 = 0.
2/9, 2, 16
Factor -17*f**3/2 - 127*f**2/2 - 47*f/2 + 63/2.
-(f + 1)*(f + 7)*(17*f - 9)/2
Factor 5*w**3 + 45*w**2 - 150*w - 440.
5*(w - 4)*(w + 2)*(w + 11)
Factor 3*x**4 + 156*x**3 + 1692*x**2 - 8736*x + 9408.
3*(x - 2)**2*(x + 28)**2
Factor -y**2 - 920*y - 211600.
-(y + 460)**2
Factor g**3/3 + 35*g**2/3 + 88*g/3 - 1452.
(g - 9)*(g + 22)**2/3
Suppose -j**3 - j**2 + j + 1 = 0. Calculate j.
-1, 1
Let -2*a**5/7 - 4*a**4/7 + 24*a**3/7 + 16*a**2/7 - 64*a/7 = 0. Calculate a.
-4, -2, 0, 2
Solve 4*a**4 + 248*a**3 + 244*a**2 = 0 for a.
-61, -1, 0
Factor -3*f**4 + 105*f**3 - 618*f**2 - 5280*f - 7200.
-3*(f - 20)**2*(f + 2)*(f + 3)
Find z, given that -2*z**4/3 + 4*z**3 - 2*z**2/3 - 16*z - 32/3 = 0.
-1, 4
Factor -13*v**2/2 - 109*v - 80.
-(v + 16)*(13*v + 10)/2
Factor 5*c**5 + 30*c**4 - 5*c**3 - 30*c**2.
5*c**2*(c - 1)*(c + 1)*(c + 6)
Factor -2*h**2 + 96*h - 184.
-2*(h - 46)*(h - 2)
Determine v so that 46*v**5/5 + 20*v**4 - 122*v**3/5 - 208*v**2/5 + 152*v/5 + 32/5 = 0.
-2, -4/23, 1
Solve 2*d**2/3 - 20*d/3 - 400/3 = 0 for d.
-10, 20
Factor 9*m**3/2 - 168*m**2 + 111*m/2.
3*m*(m - 37)*(3*m - 1)/2
Factor 2*t**2/3 + 16324*t/3 + 33309122/3.
2*(t + 4081)**2/3
Factor -4*p**4/5 + 144*p**3/5 - 144*p**2/5 - 20736*p/5 - 82944/5.
-4*(p - 24)**2*(p + 6)**2/5
Factor 2*d**3/11 + 40*d**2/11 - 1400*d/11 + 8000/11.
2*(d - 10)**2*(d + 40)/11
Factor -2*p**2/5 - 222*p/5.
-2*p*(p + 111)/5
Factor 4*c**2 + 744*c.
4*c*(c + 186)
Solve -14*i**5/17 - 60*i**4/17 + 26*i**3/17 + 208*i**2/17 + 168*i/17 + 32/17 = 0 for i.
-4, -1, -2/7, 2
Find o such that 5*o**3 + 425*o**2 + 4895*o - 5325 = 0.
-71, -15, 1
Find z such that -z**3/3 - 7*z**2 - 128*z/3 - 60 = 0.
-10, -9, -2
Factor -10*z**4/13 - 86*z**3/13 + 36*z**2/13.
-2*z**2*(z + 9)*(5*z - 2)/13
Find k such that 5*k**2 + 105*k + 190 = 0.
-19, -2
Factor b**2/4 + 4*b + 55/4.
(b + 5)*(b + 11)/4
Suppose 11*x**5/2 + 10*x**4 - 213*x**3/2 + 173*x**2 - 94*x + 12 = 0. Calculate x.
-6, 2/11, 1, 2
Factor 778034*z**4/13 + 5478212*z**3/13 + 224256*z**2/13 + 236*z + 14/13.
2*(z + 7)*(73*z + 1)**3/13
Let -y**2/4 + 24*y - 576 = 0. Calculate y.
48
Factor -15*o**2 - 430*o + 1425.
-5*(o - 3)*(3*o + 95)
Solve 5*r**2 + 665*r - 670 = 0.
-134, 1
Factor 5*n**2 + 85*n - 90.
5*(n - 1)*(n + 18)
Find l such that -6*l**5/7 + 228*l**4/7 - 2160*l**3/7 - 228*l**2/7 + 2166*l/7 = 0.
-1, 0, 1, 19
Solve 5*v**5 + 40*v**4 - 40*v**3 - 480*v**2 + 720*v = 0 for v.
-6, 0, 2
Determine w so that 18*w**5 + 252*w**4 - 3*w**3/2 - 125*w**2/6 + 7*w/3 = 0.
-14, -1/3, 0, 1/6
Find q, given that 2*q**4 + 96*q**3 - 2*q**2 - 96*q = 0.
-48, -1, 0, 1
Solve 3*o**2 + 294*o + 576 = 0 for o.
-96, -2
Suppose -6*r**5/5 + 58*r**4/5 - 6*r**3 - 58*r**2/5 + 36*r/5 = 0. What is r?
-1, 0, 2/3, 1, 9
Suppose -g**3/4 - 13*g**2/4 - 3*g = 0. Calculate g.
-12, -1, 0
Determine d, given that 3*d**3 + 12*d**2 + 9*d = 0.
-3, -1, 0
Factor -6*x**3/19 - 10*x**2/19 + 4*x/19.
-2*x*(x + 2)*(3*x - 1)/19
Solve 5*s**2 + 625*s = 0 for s.
-125, 0
Suppose -686*p**5 - 196*p**4 + 24752*p**3 + 7072*p**2 - 2016*p - 576 = 0. Calculate p.
-6, -2/7, 2/7, 6
Factor -y**3 + 43*y**2 - 42*y.
-y*(y - 42)*(y - 1)
Suppose -s**3/3 + s**2/3 + 8*s/3 - 4 = 0. Calculate s.
-3, 2
Determine b, given that 4*b**5 - 96*b**4 + 576*b**3 = 0.
0, 12
Solve -j**5 + 22*j**4 - 134*j**3 + 332*j**2 - 345*j + 126 = 0 for j.
1, 3, 14
Solve u**2/2 + 7*u/2 - 22 = 0.
-11, 4
Factor -m**3 - 1176*m**2 + 4716*m - 4720.
-(m - 2)**2*(m + 1180)
Factor -2*j**3/5 - 2*j**2/5 + 8*j.
-2*j*(j - 4)*(j + 5)/5
What is o in 2*o**5/11 + 6*o**4/11 - 2*o**3/11 - 6*o**2/11 = 0?
-3, -1, 0, 1
What is u in -u**2/4 + 19*u - 75/4 = 0?
1, 75
What is a in 36*a**3 - 10968*a**2 + 7300*a - 1216 = 0?
1/3, 304
Let -2*o**5 - 152*o**4 - 2882*o**3 + 460*o**2 + 8968*o + 5776 = 0. Calculate o.
-38, -1, 2
Factor d**3/7 - 3*d**2 - 97*d/7 - 75/7.
(d - 25)*(d + 1)*(d + 3)/7
Factor p**2 - 19*p + 18.
(p - 18)*(p - 1)
Solve -5*u**4 - 58*u**3 - 201*u**2 - 160*u + 100 = 0 for u.
-5, -2, 2/5
Factor -w**5 - 6*w**4 + 3*w**3 + 16*w**2 - 12*w.
-w*(w - 1)**2*(w + 2)*(w + 6)
Factor 3*x**4 - 63*x**3 - 369*x**2 - 537*x - 234.
3*(x - 26)*(x + 1)**2*(x + 3)
What is m in -3*m**2/2 - 69*m/2 - 189 = 0?
-14, -9
Let -2*i**4 - 68*i**3 + 102*i**2 + 1160*i + 1400 = 0. Calculate i.
-35, -2, 5
Let -4*x**2 - 36*x + 280 = 0. What is x?
-14, 5
Factor -3*x**4 - 27*x**3 + 162*x**2 + 2268*x + 5832.
-3*(x - 9)*(x + 6)**3
Factor -2*z**2/13 + 164*z/13 - 3330/13.
-2*(z - 45)*(z - 37)/13
Determine v, given that 5*v**2 - 8130*v + 3304845 = 0.
813
Factor -o**4/6 - 7*o**3/3 - 23*o**2/2 - 68*o/3 - 40/3.
-(o + 1)*(o + 4)**2*(o + 5)/6
Find r, given that 3*r**2/5 - 996*r/5 + 396 = 0.
2, 330
Solve -f**4 - 69*f**3 - 1224*f**2 - 1156*f = 0.
-34, -1, 0
Factor 5*m**3 + 670*m**2 + 1325*m + 660.
5*(m + 1)**2*(m + 132)
Solve -4*v**3/5 + 9432*v**2/5 + 4*v/5 - 9432/5 = 0.
-1, 1, 2358
Factor -4*c**3 - 108*c**2 - 288*c.
-4*c*(c + 3)*(c + 24)
Determine h, given that -9*h**5/5 - 294*h**4/5 + 81*h**3 - 102*h**2/5 = 0.
-34, 0, 1/3, 1
Solve -5*m**4 + 10*m**3 + 215*m**2 + 200*m = 0.
-5, -1, 0, 8
What is v in 2*v**2/3 + 34*v/3 + 20 = 0?
-15, -2
Determine p so that -18*p**2 + 60*p - 50 = 0.
5/3
Determine h so that -4*h**4 - 5916*h**3 - 2910648*h**2 - 473429840*h + 1446645408 = 0.
-494, 3
Factor -20*f**3 - 548*f**2 - 3584*f + 2352.
-4*(f + 14)**2*(5*f - 3)
Factor 3*z**2/7 - 312*z/7 - 45.
3*(z - 105)*(z + 1)/7
Find p, given that -p**3/7 - 47*p**2/7 + 14*p = 0.
-49, 0, 2
Suppose 2*f**5/9 - 20*f**3/9 - 40*f**2/9 - 10*f/3 - 8/9 = 0. What is f?
-1, 4
Find b, given that -b**5/5 + 24*b**4/5 + 136*b**3/5 + 254*b**2/5 + 201*b/5 + 58/5 = 0.
-2, -1, 29
Let 5*h**4 + 25*h**3 - 180*h**2 - 1360*h - 2240 = 0. Calculate h.
-4, 7
Solve -4*l**3 - 172*l**2 - 332*l - 164 = 0.
-41, -1
Suppose 16*c**5/7 + 1972*c**4/7 + 81160*c**3/7 + 160064*c**2 + 174824*c/7 - 1378420/7 = 0. What is c?
-41, -5/4, 1
Factor 5*f**3 - 175*f**2/4 + 115*f/4 + 10.
5*(f - 8)*(f - 1)*(4*f + 1)/4
Factor 9*n**5 + 39*n**4 + 7*n**3 - 19*n**2 + 4*n.
n*(n + 1)*(n + 4)*(3*n - 1)**2
Factor -7*n**4/2 + 37*n**3/2 + 16*n**2 - 6*n.
-n*(n - 6)*(n + 1)*(7*n - 2)/2
Find f such that f**3 - 14*f**2 + 25*f - 12 = 0.
1, 12
Find s, given that 25*s**5/2 - 145*s**4/2 - 647*s**3/2 - 639*s**2/2 - 81*s = 0.
-9/5, -1, -2/5, 0, 9
Factor -7*i**4/2 - i**3 + 9*i**2/2.
-i**2*(i - 1)*(7*i + 9)/2
Factor 2*d**2/3 + 16*d + 96.
2*(d + 12)**2/3
Solve -2*w**3 + 90*w**2 - 88*w = 0.
0, 1, 44
Factor x**2/3 - 126*x - 379/3.
(x - 379)*(x + 1)/3
Factor 2*s**4/3 + 472*s**3/3 + 9438*s**2 + 18252*s.
2*s*(s + 2)*(s + 117)**2/3
Factor -86*a**3/7 + 89*a**2/7 + 169*a/7 - 6/7.
-(a - 2)*(a + 1)*(86*a - 3)/7
Determine i so that 2*i**5/15 + 2*i**4/5 - 4*i**3/15 - 8*i**2/5 - 16*i/15 = 0.
-2, -1, 0, 2
Factor 8*k**2/7 - 796*k + 2784/7.
4*(k - 696)*(2*k - 1)/7
Factor 3*p**3 + 174*p**2/7 - 1317*p/7 - 390/7.
3*(p - 5)*(p + 13)*(7*p + 2)/7
Factor -3*a**4 + 81*a**3 + 1260*a**2 + 5424*a + 7488.
-3*(a - 39)*(a + 4)**3
Factor 5*a**2 - 65*a + 180.
5*(a - 9)*(a - 4)
Factor -10*z**3 - 166*z**2 + 248*z - 72.
-2*(z - 1)*(z +