 = 0.
3, 9
Find d, given that 26*d**3/9 - 484*d**2/3 + 2240*d + 3136/9 = 0.
-2/13, 28
Factor -t**3/3 - 1226*t**2/3.
-t**2*(t + 1226)/3
Solve 2*k**2/3 + 8*k/3 = 0 for k.
-4, 0
Let 4*v**4 - 335*v**3 + 572*v**2 + 164*v = 0. What is v?
-1/4, 0, 2, 82
Determine k, given that -3*k**5 + 27*k**4/5 + 78*k**3/5 - 72*k**2/5 = 0.
-2, 0, 4/5, 3
Let -3*u**4/5 - 159*u**3/5 + 339*u**2/5 + 99*u = 0. Calculate u.
-55, -1, 0, 3
Factor 26*b**2 + 34*b + 8.
2*(b + 1)*(13*b + 4)
Suppose 165*b**2 - 335*b + 10 = 0. What is b?
1/33, 2
What is t in 28*t**5 - 132*t**4 + 16*t**3 + 240*t**2 + 64*t = 0?
-1, -2/7, 0, 2, 4
Factor -2*u**2/9 + 1360*u/9 + 454/3.
-2*(u - 681)*(u + 1)/9
Factor -16875*l**3/2 - 900*l**2 - 24*l.
-3*l*(75*l + 4)**2/2
Factor 2*r**2/9 + 20*r/9 - 16/3.
2*(r - 2)*(r + 12)/9
Factor 2*u**4 - 206*u**3 + 4236*u**2 + 58688*u - 62720.
2*(u - 56)**2*(u - 1)*(u + 10)
Factor 3*i**5 + 33*i**4/5 - 36*i**3/5.
3*i**3*(i + 3)*(5*i - 4)/5
Solve -3*l**3 - 117*l**2 - 432*l - 420 = 0.
-35, -2
Solve -2*w**2/3 + 248*w - 23064 = 0.
186
Let -24*d**4/7 + 130*d**3/7 - 195*d**2/7 + 65*d/7 - 6/7 = 0. What is d?
1/6, 1/4, 2, 3
Suppose r**5 - 9*r**4 + 30*r**3 - 46*r**2 + 33*r - 9 = 0. Calculate r.
1, 3
Find m, given that 4*m**3 + 64*m**2 + 180*m - 648 = 0.
-9, 2
Factor 2*g**3 + 4*g**2 - 2*g - 4.
2*(g - 1)*(g + 1)*(g + 2)
Let 6*h**5 - 18*h**4 + 15*h**3/2 + 15*h**2 - 27*h/2 + 3 = 0. What is h?
-1, 1/2, 1, 2
Solve -21*u**4/5 - 97*u**3/5 - 8*u**2 + 52*u/5 + 16/5 = 0.
-4, -1, -2/7, 2/3
Let j**5 - 30*j**4 + 158*j**3 + 988*j**2 + 1377*j + 578 = 0. Calculate j.
-2, -1, 17
Solve -2*q**4/7 + 188*q**3/7 + 192*q**2/7 - 188*q/7 - 190/7 = 0 for q.
-1, 1, 95
Factor 4*c**3 - 1636*c**2 - 3288*c.
4*c*(c - 411)*(c + 2)
Factor -27*l**4/2 - 4461*l**3/2 - 495*l**2.
-3*l**2*(l + 165)*(9*l + 2)/2
Factor -2*z**3/7 + 46*z**2 - 316*z/7 - 640/7.
-2*(z - 160)*(z - 2)*(z + 1)/7
Factor -m**2/7 + 11*m + 1824/7.
-(m - 96)*(m + 19)/7
Find o such that -2*o**3 - 586*o**2 - 43216*o - 42632 = 0.
-146, -1
Factor -21*q**2 - 309*q + 90.
-3*(q + 15)*(7*q - 2)
What is s in s**2/4 - 133*s/4 = 0?
0, 133
Solve 5*l**4 - 15*l**3 + 10*l**2 = 0.
0, 1, 2
Let 5*s**2 - 490*s + 12005 = 0. Calculate s.
49
Determine k so that 4*k**3 + 25*k**2 + 6*k = 0.
-6, -1/4, 0
Solve -12*n**5 - 232*n**4 - 808*n**3 - 1152*n**2 - 748*n - 184 = 0.
-46/3, -1
Let 2*s**3/11 - 8*s**2/11 - 344*s/11 - 640/11 = 0. What is s?
-10, -2, 16
Solve -5*f**5 - 170*f**4 - 2130*f**3 - 11920*f**2 - 28105*f - 18150 = 0 for f.
-11, -6, -5, -1
Solve -v**2 - 90*v - 2025 = 0.
-45
Factor -10*p**2 + 374*p + 2120.
-2*(p + 5)*(5*p - 212)
Solve i**4/2 - 31*i**3/2 + 255*i**2/2 - 225*i/2 = 0 for i.
0, 1, 15
Suppose -p**4 + 16*p**3 - 63*p**2 - 16*p + 64 = 0. What is p?
-1, 1, 8
Solve 121*o**3/2 + 715*o**2/2 + 304*o - 722 = 0.
-38/11, 1
Factor -5*v**2 + 31*v + 126.
-(v - 9)*(5*v + 14)
Find j, given that -2*j**4/7 - 114*j**3/7 - 110*j**2/7 + 114*j/7 + 16 = 0.
-56, -1, 1
Suppose s**3/2 - 2481*s**2/2 - 4965*s/2 - 2483/2 = 0. What is s?
-1, 2483
Suppose 3*h**3 - 162*h**2 + 153*h + 318 = 0. Calculate h.
-1, 2, 53
Let 4*f**3/9 - 2*f**2/3 - 16*f/9 - 2/3 = 0. What is f?
-1, -1/2, 3
Factor 5*i**5 + 35*i**4 + 75*i**3 + 45*i**2.
5*i**2*(i + 1)*(i + 3)**2
Solve -4*c**3/9 + 16*c**2/9 - 16*c/9 = 0.
0, 2
Determine a, given that 2*a**2/13 - 16*a/13 = 0.
0, 8
Determine y so that -3*y**4 - 123*y**3 + 258*y**2 = 0.
-43, 0, 2
Find w, given that w**4/5 + 37*w**3/5 + 136*w**2/5 + 132*w/5 = 0.
-33, -2, 0
Factor 5*h**2 - 1210*h + 10485.
5*(h - 233)*(h - 9)
Solve 2*f**3 + 80*f**2 + 1064*f + 4704 = 0.
-14, -12
Find b, given that -25*b**3 + 7590*b**2 - 4535*b - 3030 = 0.
-2/5, 1, 303
Let -3*z**5/5 - 42*z**4/5 + 711*z**3/5 - 2694*z**2/5 + 3828*z/5 - 360 = 0. Calculate z.
-25, 1, 2, 6
Factor -3*f**3 - 1539*f**2 - 263169*f - 15000633.
-3*(f + 171)**3
Factor -3*p**2 - 624*p - 32448.
-3*(p + 104)**2
Solve r**2/3 + 1310*r/3 + 429025/3 = 0.
-655
Factor j**5/8 - j**4/8 - 5*j**3/8 - 3*j**2/8.
j**2*(j - 3)*(j + 1)**2/8
Suppose r**3/5 - 1123*r/5 + 1122/5 = 0. What is r?
-34, 1, 33
Factor -y**3/3 + 127*y**2/3 + 86*y.
-y*(y - 129)*(y + 2)/3
Factor 5*l**2 - 45*l/4 + 5/2.
5*(l - 2)*(4*l - 1)/4
Let 4*i**2 + 392*i - 396 = 0. Calculate i.
-99, 1
Factor 7*k**2 - 130*k + 187.
(k - 17)*(7*k - 11)
Factor 8*v**4 - 64*v**3 + 90*v**2 + 142*v + 40.
2*(v - 5)*(v - 4)*(2*v + 1)**2
Factor 2*i**4/7 + 6*i**3 - 20*i**2 + 96*i/7.
2*i*(i - 2)*(i - 1)*(i + 24)/7
Let 2*j**2 - 2164*j - 2166 = 0. Calculate j.
-1, 1083
Factor r**2/2 - 181*r/4 - 91/4.
(r - 91)*(2*r + 1)/4
Solve -222*t**2/13 - 226*t/13 - 4/13 = 0 for t.
-1, -2/111
Suppose 4*j**4/3 - 172*j**3/3 - 3520*j**2/3 - 15104*j/3 = 0. What is j?
-8, 0, 59
Factor -2*q**5/7 + 20*q**3/7 + 40*q**2/7 + 30*q/7 + 8/7.
-2*(q - 4)*(q + 1)**4/7
Solve -4*g**5/7 - 36*g**4/7 - 4*g**3 + 36*g**2/7 + 32*g/7 = 0 for g.
-8, -1, 0, 1
Factor -5*y**4 + 75*y**3 - 355*y**2 + 645*y - 360.
-5*(y - 8)*(y - 3)**2*(y - 1)
Factor 3*l**3/2 - 129*l**2 + 753*l/2 - 249.
3*(l - 83)*(l - 2)*(l - 1)/2
Suppose 3*i**2 + 1116*i + 103788 = 0. What is i?
-186
Find l such that 2*l**2/5 - 2*l - 72/5 = 0.
-4, 9
Factor 4*c**3 - 8676*c**2 + 4700220*c + 4708900.
4*(c - 1085)**2*(c + 1)
Determine n, given that -2*n**4/7 - 192*n**3/7 + 802*n**2/7 + 192*n/7 - 800/7 = 0.
-100, -1, 1, 4
Let 5*u**5 + 98*u**4/5 - 308*u**3/5 + 24*u**2/5 = 0. What is u?
-6, 0, 2/25, 2
Factor -2*i**3 + 12*i**2.
-2*i**2*(i - 6)
Factor 121*q**5/5 - 528*q**4/5 + 36*q**3 - 16*q**2/5.
q**2*(q - 4)*(11*q - 2)**2/5
Factor -2*s**2/13 - 882*s/13 - 880/13.
-2*(s + 1)*(s + 440)/13
Suppose 2*z**5/15 + 254*z**4/15 - 5026*z**3/15 + 27842*z**2/15 - 41632*z/15 + 3712/3 = 0. What is z?
-145, 1, 8
Factor -4*k**2/5 + 10552*k/5 - 6959044/5.
-4*(k - 1319)**2/5
Solve -2*d**4 - 20*d**3 + 32*d**2 + 116*d + 66 = 0 for d.
-11, -1, 3
Factor -3*c**3 - 2610*c**2 - 567675*c.
-3*c*(c + 435)**2
What is l in 6*l**3 + 58*l**2 + 186*l + 198 = 0?
-11/3, -3
Factor 5*f**4 - 2630*f**3 + 2620*f**2 + 2630*f - 2625.
5*(f - 525)*(f - 1)**2*(f + 1)
What is z in 15*z**3 + 87*z**2 = 0?
-29/5, 0
Solve -a**2/6 - 25*a/6 + 13/3 = 0.
-26, 1
Factor 3*i**3 + 801*i**2 + 71289*i + 2114907.
3*(i + 89)**3
Solve -p**4/4 + 215*p**3/2 - 429*p**2/4 = 0 for p.
0, 1, 429
Factor 4*i**4/5 - 272*i**3/5 + 4032*i**2/5 + 20736*i/5.
4*i*(i - 36)**2*(i + 4)/5
Determine s, given that 2*s**5/5 - 82*s**4/5 - 846*s**3/5 - 2646*s**2/5 - 540*s = 0.
-3, 0, 50
Determine a so that -5*a**5 + 20*a**4 - 15*a**3 - 20*a**2 + 20*a = 0.
-1, 0, 1, 2
Let -f**5/5 + 49*f**4/5 + 21*f**3 - 153*f**2/5 = 0. Calculate f.
-3, 0, 1, 51
Factor 9*p**3 + 348*p**2 + 660*p.
3*p*(p + 2)*(3*p + 110)
Factor -2*b**4/11 - 1524*b**3/11 - 26254*b**2 + 582168*b/11 - 291848/11.
-2*(b - 1)**2*(b + 382)**2/11
Factor z**5/2 - 453*z**4 + 206113*z**3/2 - 204756*z**2 + 102152*z.
z*(z - 452)**2*(z - 1)**2/2
What is i in -2*i**3/13 - 74*i**2/13 - 72*i/13 = 0?
-36, -1, 0
Determine v so that -3*v**5/7 + 12*v**4/7 + 93*v**3/7 - 30*v**2 = 0.
-5, 0, 2, 7
Let 4*g**4/5 + 88*g**3/5 - 96*g**2/5 - 88*g/5 + 92/5 = 0. Calculate g.
-23, -1, 1
Find n such that 3*n**5/4 + 39*n**4/4 + 51*n**3/2 - 60*n**2 - 168*n + 192 = 0.
-8, -4, 1, 2
Let -5*k**3 - 365*k**2 - 350*k + 720 = 0. What is k?
-72, -2, 1
Let 4*l**5/5 + 24*l**4/5 + 12*l**3/5 - 8*l**2 = 0. Calculate l.
-5, -2, 0, 1
Suppose -2*g**2 + 10*g + 12 = 0. Calculate g.
-1, 6
Suppose -2*u**4 + 35*u**3 - 31*u**2 - 35*u + 33 = 0. Calculate u.
-1, 1, 33/2
Solve -175446*s**5 + 88236*s**4 + 193422*s**3 - 87452*s**2 - 17976*s - 784 = 0 for s.
-1, -14/171, 2/3, 1
Factor -4*c**5 - 116*c**4 + 24*c**3 + 728*c**2 + 940*c + 348.
-4*(c - 3)*(c + 1)**3*(c + 29)
Factor 2*u**3 - 50*u**2 - 106*u - 54.
2*(u - 27)*(u + 1)**2
Factor -10*r**2 + 9*r + 1.
-(r - 1)*(10*r + 1)
Factor 5*c**4 + 50*c**3 + 185*c**2 + 300*c + 180.
5*(c + 2)**2*(c + 3)**2
Factor -5*h**4 + 35*h**3 + 140*h**2 + 100*h.
-5*h*(h - 10)*(h + 1)*(h + 2)
Determine k so that -9*k**4 + 1176*k**3 + 1596*k**2 - 1584*k = 0.
-2, 0, 2/3, 132
Factor 5*g**4 + 55*g**3 + 135*g**2 + 125*g + 40.
5*(g + 1)**3*(g + 8)
Solve 2*l**4 - 192*l**3/7 - 70*l**2 - 348*l/7 - 64/7 = 0.
-1, -2/7, 16
Solve 4*r**5/3 - 28*r**3/3 + 8*r**2 = 0 for r.
-3, 0, 1, 2
Let -p**4/5 + 2*p**3/5 + p**2/5 - 2*p/5 = 0. Calculate p.
-1, 0, 1, 2
Let 3*r**5 - 75*r**4 - 348*r**3 = 0. Calculate r.
-4, 0, 29
Factor l**3 + 264*l**2 + 17424*l.
l*(l + 132)