**3 + 140*u - 240 = 0 for u.
-6, 2, 4
Factor 2*q**2/13 + 8*q/13 - 120/13.
2*(q - 6)*(q + 10)/13
Factor -g**4/2 - 41*g**3/2 - 319*g**2/2 - 279*g/2.
-g*(g + 1)*(g + 9)*(g + 31)/2
Factor -2*i**3 + 46*i**2 - 192*i + 216.
-2*(i - 18)*(i - 3)*(i - 2)
Factor 2*z**4 - 10*z**3 - 136*z**2 - 360*z - 288.
2*(z - 12)*(z + 2)**2*(z + 3)
Factor -3*h**4 + 15*h**3 + 18*h**2 - 96*h - 96.
-3*(h - 4)**2*(h + 1)*(h + 2)
Factor -3*h**4 + 216*h**3 - 2928*h**2 - 34560*h - 76800.
-3*(h - 40)**2*(h + 4)**2
Factor 2*i**2/5 + 1452*i + 1317690.
2*(i + 1815)**2/5
Factor 2*m**2/3 + 2*m/3 - 48.
2*(m - 8)*(m + 9)/3
Factor -3*k**3/5 + 18*k**2/5 - 36*k/5 + 24/5.
-3*(k - 2)**3/5
Factor 2*f**2 + 6*f + 4.
2*(f + 1)*(f + 2)
Factor d**3 + d**2 - 20*d.
d*(d - 4)*(d + 5)
Suppose -3*k**2 + 3 = 0. What is k?
-1, 1
Determine f, given that 2*f**4/3 - f**3 - 10*f**2/3 + 4*f + 8/3 = 0.
-2, -1/2, 2
Determine x so that -2*x**4 + 12*x**3 + 152*x**2 + 372*x + 234 = 0.
-3, -1, 13
Factor 5*j**2/3 - 23*j + 52/3.
(j - 13)*(5*j - 4)/3
Factor 36*f**4 + 6324*f**3 - 8480*f**2 + 2832*f.
4*f*(f + 177)*(3*f - 2)**2
Factor 4*z**4 + 676*z**3 - 1368*z**2.
4*z**2*(z - 2)*(z + 171)
Suppose -f**2/2 + 21*f - 441/2 = 0. Calculate f.
21
Determine s so that -9*s**4/4 - 5*s**3 + 41*s**2/4 + 16*s + 3 = 0.
-3, -1, -2/9, 2
Let 2*l**5 - 2*l**4 - 114*l**3 - 278*l**2 + 32*l + 360 = 0. Calculate l.
-5, -2, 1, 9
Solve i**2 - 55*i/3 - 100/3 = 0 for i.
-5/3, 20
Factor -j**4 + 3*j**3 + 28*j**2.
-j**2*(j - 7)*(j + 4)
Let -3*k**2 + 24*k = 0. What is k?
0, 8
Let -2*k**4/21 + 2*k**3/7 + 46*k**2/21 + 22*k/7 + 4/3 = 0. What is k?
-2, -1, 7
Factor -w**2/3 + 880*w/3 - 293.
-(w - 879)*(w - 1)/3
Solve 9*w**5/7 + 78*w**4/7 + 246*w**3/7 + 348*w**2/7 + 225*w/7 + 54/7 = 0 for w.
-3, -1, -2/3
Let -4*i**2 + 2560*i - 409600 = 0. What is i?
320
What is w in -w**5/8 - 2397*w**4/8 - 716401*w**3/4 + 539400*w**2 - 360000*w = 0?
-1200, 0, 1, 2
Solve -f**3 + 11*f**2 - 24*f - 36 = 0.
-1, 6
Find l such that 3*l**5/7 - 27*l**4/7 + 57*l**3/7 - 9*l**2/7 - 60*l/7 + 36/7 = 0.
-1, 1, 2, 6
Factor -s**5/4 - 155*s**4/4 - 4053*s**3/2 - 73899*s**2/2 - 241893*s/4 + 397953/4.
-(s - 1)*(s + 3)*(s + 51)**3/4
Find o such that -4*o**3 - 44*o**2 - 160*o - 192 = 0.
-4, -3
Factor 2*a**2/7 + 10*a/7 + 8/7.
2*(a + 1)*(a + 4)/7
Solve 5*s**3 - 10*s**2 - 35*s - 20 = 0 for s.
-1, 4
Factor -2*z**3 + 46*z**2/7 - 40*z/7 + 8/7.
-2*(z - 2)*(z - 1)*(7*z - 2)/7
Find m such that m**5/4 + 147*m**4/4 + 1117*m**3/4 + 645*m**2/4 - 3475*m/2 = 0.
-139, -5, 0, 2
Solve 10*q**4/13 - 66*q**3/13 + 4*q**2 + 192*q/13 + 64/13 = 0 for q.
-1, -2/5, 4
What is c in -4*c**3 - 1656*c**2 - 228528*c - 10512288 = 0?
-138
Suppose -2*b**3 + 28*b**2 - 26*b = 0. What is b?
0, 1, 13
Factor o**2/3 - 104*o/3.
o*(o - 104)/3
Factor 5*a**2 - 220*a + 215.
5*(a - 43)*(a - 1)
Suppose 8*b**3 - 132*b**2 + 726*b - 1331 = 0. Calculate b.
11/2
Factor 3*f**3/2 - 3033*f**2/2 + 1022121*f/2 - 114818259/2.
3*(f - 337)**3/2
Suppose -3*v**3/4 - 45*v**2/4 - 81*v/4 + 729/4 = 0. What is v?
-9, 3
Determine c, given that 3*c**5 - 36*c**4 + 147*c**3 - 270*c**2 + 228*c - 72 = 0.
1, 2, 6
Factor 4*f**3/9 - 4*f**2/3 - 4*f - 20/9.
4*(f - 5)*(f + 1)**2/9
Factor 2*c**3 - 26*c**2/3 + 12*c - 16/3.
2*(c - 2)*(c - 1)*(3*c - 4)/3
Factor s**4/2 + 45*s**3 + 2197*s**2/2 + 3870*s + 3698.
(s + 2)**2*(s + 43)**2/2
Determine q so that -9*q**5 + 39*q**4 - 66*q**3 + 54*q**2 - 21*q + 3 = 0.
1/3, 1
Factor 236*l**2/3 - 242*l/3 + 2.
2*(l - 1)*(118*l - 3)/3
Factor -2*l**2 - 188*l + 190.
-2*(l - 1)*(l + 95)
Factor h**2/4 - 116*h + 231.
(h - 462)*(h - 2)/4
Let 3*k**2 + 102*k + 99 = 0. What is k?
-33, -1
Let -125*d**4 - 150*d**3 + 1180*d**2 - 840*d + 160 = 0. Calculate d.
-4, 2/5, 2
Solve -5*y**5/12 + 317*y**4/12 - 71*y**3/2 - 125*y**2/3 + 62*y/3 = 0 for y.
-1, 0, 2/5, 2, 62
Determine p so that 5*p**4 - 35*p**3 + 35*p**2 + 75*p = 0.
-1, 0, 3, 5
Solve 3*o**5/4 + 123*o**4/2 + 7275*o**3/4 + 23874*o**2 + 143376*o + 322944 = 0 for o.
-29, -8
Factor -4*w**5 + 4504*w**4 - 1687492*w**3 + 209240992*w**2 + 423562496*w + 212629504.
-4*(w - 376)**3*(w + 1)**2
Determine t, given that 5*t**5/3 + 7*t**4/3 + 2*t**3/3 = 0.
-1, -2/5, 0
Find n, given that n**3/2 + 113*n**2/2 + 439*n/2 + 327/2 = 0.
-109, -3, -1
Determine k so that k**2/9 + 8*k/9 - 11/3 = 0.
-11, 3
Factor -45*m**3 - 1745*m**2 + 390*m.
-5*m*(m + 39)*(9*m - 2)
Factor -y**4/5 + 19*y**3/5 - 18*y**2/5.
-y**2*(y - 18)*(y - 1)/5
Determine a, given that -4*a**3 + 116*a**2 + 16*a - 464 = 0.
-2, 2, 29
Factor -u**2 + 6*u.
-u*(u - 6)
Factor -8*i**4 - 7058*i**3 - 1764*i**2.
-2*i**2*(i + 882)*(4*i + 1)
Suppose -y**3 - 317*y**2 - 24963*y + 25281 = 0. Calculate y.
-159, 1
Factor -5*d**3 + 3765*d**2 - 710640*d + 706880.
-5*(d - 376)**2*(d - 1)
Determine y so that -46*y**3/9 + 320*y**2/9 + 382*y/9 + 16/9 = 0.
-1, -1/23, 8
Let 3*q**3 - 46*q**2 - 87*q + 34 = 0. What is q?
-2, 1/3, 17
Solve -2*j**2/19 + 78*j/19 + 344/19 = 0 for j.
-4, 43
Let 2*a**5/9 + 4*a**4/9 - 4*a**3/9 - 8*a**2/9 + 2*a/9 + 4/9 = 0. What is a?
-2, -1, 1
Determine r so that -r**2/7 + 8*r - 159/7 = 0.
3, 53
Determine f, given that 4*f**2/5 - 152*f - 2316/5 = 0.
-3, 193
Suppose -2*c**3/13 - 1416*c**2/13 - 334176*c/13 - 26288512/13 = 0. Calculate c.
-236
Factor 2*j**3/13 - 38*j**2/13 - 128*j/13 - 88/13.
2*(j - 22)*(j + 1)*(j + 2)/13
Suppose -7*c**5/3 + 40*c**4/3 + 40*c**3/3 - 160*c**2/3 - 16*c = 0. Calculate c.
-2, -2/7, 0, 2, 6
Factor d**4/7 + 5*d**3/7 + 3*d**2/7 - 9*d/7.
d*(d - 1)*(d + 3)**2/7
Suppose 15*u**5 - 140*u**4 + 165*u**3 - 40*u**2 = 0. Calculate u.
0, 1/3, 1, 8
Factor -4*v**2 - 220*v + 944.
-4*(v - 4)*(v + 59)
Let -20*q**4 - 65*q**3 - 15*q**2 + 80*q + 20 = 0. What is q?
-2, -1/4, 1
Find b, given that b**2/6 - 1682*b/3 + 1414562/3 = 0.
1682
Factor 2*o**4/7 - 874*o**3 + 4681798*o**2/7 - 4675682*o/7.
2*o*(o - 1529)**2*(o - 1)/7
Determine q, given that -45*q**2 - 115*q - 50 = 0.
-2, -5/9
What is b in 10*b**3 + 32*b**2 + 8*b - 32 = 0?
-2, 4/5
What is a in 14*a**5 - 88*a**4 + 206*a**3 - 220*a**2 + 104*a - 16 = 0?
2/7, 1, 2
What is k in -16*k**4 + 268*k**3 - 764*k**2 - 208*k = 0?
-1/4, 0, 4, 13
Factor -w**2 + 252*w - 15876.
-(w - 126)**2
Let 4*s**4 + 12*s**3 - 120*s**2 - 496*s - 480 = 0. What is s?
-5, -2, 6
Find t, given that -t**4 + 22*t**3 + 883*t**2 + 860*t = 0.
-20, -1, 0, 43
Factor -2*p**3/5 - 3114*p**2/5 - 1616166*p/5 - 279596718/5.
-2*(p + 519)**3/5
Factor 2*z**4/3 + 10*z**3/3 - 62*z**2/3 + 86*z/3 - 12.
2*(z - 2)*(z - 1)**2*(z + 9)/3
Suppose -20*k**4 + 7776*k**3 + 86244*k**2/5 - 87632*k/5 + 18768/5 = 0. Calculate k.
-3, 2/5, 391
Suppose 5*g**5 - 20*g**4 - 55*g**3 + 310*g**2 - 400*g + 160 = 0. Calculate g.
-4, 1, 2, 4
Factor 2*d**3/11 + 3946*d**2/11 + 1956192*d/11 + 9682560/11.
2*(d + 5)*(d + 984)**2/11
Factor -3*x**2 + 33*x + 126.
-3*(x - 14)*(x + 3)
Factor -132*x**2 - 7136*x - 432.
-4*(x + 54)*(33*x + 2)
Determine w so that -4*w**3/5 + 10*w**2 - 106*w/5 + 12 = 0.
1, 3/2, 10
Factor 2*j**5 + 116*j**4 + 336*j**3 + 332*j**2 + 110*j.
2*j*(j + 1)**3*(j + 55)
Determine t, given that -52272*t**2 - 792*t - 3 = 0.
-1/132
Find f, given that -2*f**4/9 - 152*f**3/9 - 3796*f**2/9 - 29800*f/9 + 3750 = 0.
-27, -25, 1
Let 3*o**3/7 - 66*o**2 + 6816*o/7 - 26496/7 = 0. Calculate o.
8, 138
Factor -h**3/2 - 33*h**2/2 - 16*h.
-h*(h + 1)*(h + 32)/2
Find z, given that 2*z**3 + 17594*z**2 + 38702400*z + 38684808 = 0.
-4398, -1
Suppose -2*z**3 + 6*z**2 + 282*z - 286 = 0. What is z?
-11, 1, 13
Determine t, given that -2*t**3/3 + 32*t**2/3 + 154*t/3 + 40 = 0.
-3, -1, 20
Let -25*t**5 + 365*t**4 + 975*t**3 + 755*t**2 + 170*t = 0. Calculate t.
-1, -2/5, 0, 17
Let 2*a**5/3 + 14*a**4/3 + 8*a**3 - 8*a**2/3 - 32*a/3 = 0. What is a?
-4, -2, 0, 1
Solve 2*l**4 + 56*l**3/3 + 2*l**2/3 - 136*l/3 + 24 = 0 for l.
-9, -2, 2/3, 1
Factor t**4/2 + 7*t**3/2 - 39*t**2/2 - 95*t/2 - 25.
(t - 5)*(t + 1)**2*(t + 10)/2
Determine v, given that 2*v**3/7 - 24*v**2/7 - 8*v = 0.
-2, 0, 14
Factor 10*j**3 + 76*j**2 + 102*j + 36.
2*(j + 1)*(j + 6)*(5*j + 3)
Factor 9*i**3 + 21*i**2 - 36*i - 84.
3*(i - 2)*(i + 2)*(3*i + 7)
Determine i so that -5*i**3 + 10*i**2 + 5*i - 10 = 0.
-1, 1, 2
Solve -35*h**3 - 1660*h**2 - 19200*h + 11520 = 0 for h.
-24, 4/7
Find i, given that i**5/3 - i**4/3 - 19*i**3 + 113*i**2/3 - 56*i/3 = 0.
-8, 0, 1, 7
Suppose -2*z**3/11 - 1326*z**2/11 + 486*z + 6670/11 = 0. What is z?
-667, -1, 5
Factor 2*t**3