+ 32640*w**2 - 405504*w.
w*(w - 11)*(w + 192)**2
Determine s so that 4*s**3 - 34312*s**2 - 618588*s - 2785104 = 0.
-9, 8596
Solve -560*l**2 - 24870*l + 5355 = 0.
-357/8, 3/14
Determine b, given that -5*b**5 + 140*b**4 + 850*b**3 - 5620*b**2 - 34325*b - 28000 = 0.
-5, -1, 7, 32
Suppose u**5/7 + 2*u**4/7 - 11*u**3/7 - 12*u**2/7 + 36*u/7 = 0. Calculate u.
-3, 0, 2
Let 2*s**2/9 + 950*s/9 - 20216/3 = 0. What is s?
-532, 57
Factor 3*n**4/7 + 5310*n**3/7 + 2635875*n**2/7 + 245025000*n/7.
3*n*(n + 120)*(n + 825)**2/7
What is x in -58*x**5 + 576*x**4 + 7696*x**3 - 35200*x**2 + 34656*x + 2560 = 0?
-10, -2/29, 2, 16
Solve -3*d**4/4 + 7665*d**3/4 + 15339*d**2/4 + 7671*d/4 = 0 for d.
-1, 0, 2557
Factor 3*o**4 + 144*o**3 + 189*o**2 - 9192*o + 23760.
3*(o - 4)**2*(o + 11)*(o + 45)
Let 3*g**2 - 62265*g - 62268 = 0. Calculate g.
-1, 20756
Find z, given that -8*z**4/7 - 354*z**3/7 + 320*z**2/7 + 2262*z/7 + 540/7 = 0.
-45, -2, -1/4, 3
Factor j**2/5 + 10218*j/5 - 4088.
(j - 2)*(j + 10220)/5
Factor 4*r**3 - 592*r**2 - 61916*r - 61320.
4*(r - 219)*(r + 1)*(r + 70)
Factor 2*y**2/23 + 1015188*y/23 + 128825834418/23.
2*(y + 253797)**2/23
Factor -m**2/2 - 129885*m/2 - 64942.
-(m + 1)*(m + 129884)/2
Factor 5*i**2 - 12960*i + 12955.
5*(i - 2591)*(i - 1)
Factor -2*u**3 + 64930*u**2 + 129866*u + 64934.
-2*(u - 32467)*(u + 1)**2
Factor -3*w**2 - 586500*w + 586503.
-3*(w - 1)*(w + 195501)
Factor -4*i**4 - 1468*i**3 - 2668*i**2 + 91980*i.
-4*i*(i - 7)*(i + 9)*(i + 365)
Factor 5*w**5 + 263560*w**4 + 3472402910*w**3 - 20841534120*w**2 + 31265859645*w.
5*w*(w - 3)**2*(w + 26359)**2
Factor g**3/7 + 1807*g**2/7 - 3617*g/7 + 1809/7.
(g - 1)**2*(g + 1809)/7
Factor -4*c**3 - 124*c**2 + 5796*c + 87516.
-4*(c - 33)*(c + 13)*(c + 51)
Factor -2*h**2/3 - 4390*h/3 + 8788/3.
-2*(h - 2)*(h + 2197)/3
Let -3*x**3/4 - 294669*x**2/4 - 1808917740*x + 1808991408 = 0. Calculate x.
-49112, 1
Let -2*q**4/3 - 94*q**3/3 - 298*q**2 + 330*q = 0. Calculate q.
-33, -15, 0, 1
Suppose 9*z**3 - 352119*z**2 + 3444163968*z - 1148015532 = 0. What is z?
1/3, 19562
Find b such that -2*b**5 - 44*b**4 + 1762*b**3 - 7972*b**2 - 13456*b + 19712 = 0.
-44, -2, 1, 7, 16
Determine x so that -x**2/9 + 814*x/9 - 13549/9 = 0.
17, 797
Let -2*t**5 - 54*t**4 + 12*t**3 + 340*t**2 + 438*t + 162 = 0. What is t?
-27, -1, 3
Let 4*p**2 + 1282480*p - 1282484 = 0. What is p?
-320621, 1
Let -4*q**2/3 + 2670128*q/3 - 445598971024/3 = 0. What is q?
333766
What is t in -2*t**2/5 - 24232*t/5 + 43650 = 0?
-12125, 9
Solve 224*f**3 - 1028*f**2 - 15404*f - 4312 = 0 for f.
-49/8, -2/7, 11
Find r, given that 4*r**2 - 864*r + 19760 = 0.
26, 190
Factor 14478025*b**2/3 - 471820*b/3 + 3844/3.
(3805*b - 62)**2/3
Factor -4*s**3 + 3428*s**2 + 52824*s - 439488.
-4*(s - 872)*(s - 6)*(s + 21)
Let -i**3 + 6481*i**2 - 10165899*i - 1093898781 = 0. Calculate i.
-101, 3291
Factor 2*p**5 + 28*p**4 + 120*p**3 + 208*p**2 + 128*p.
2*p*(p + 2)**3*(p + 8)
Suppose 3*t**2/8 - 44439*t/4 + 658274907/8 = 0. Calculate t.
14813
Suppose 7*z**3 - 809*z**2/2 + 9635*z/2 = 0. What is z?
0, 235/14, 41
Factor -b**4 - 435*b**3 - 6348*b**2 - 20096*b + 26880.
-(b - 1)*(b + 8)**2*(b + 420)
Factor 5*y**3 - 4635*y**2 - 128330*y - 438840.
5*(y - 954)*(y + 4)*(y + 23)
Solve 160*s**3 + 6309720*s**2 - 3154875*s/2 + 98590 = 0.
-39436, 1/8
Let -d**2/2 + 27092*d - 366988232 = 0. What is d?
27092
Factor 2*f**3/7 - 4092*f**2/7 + 307584*f - 338131648/7.
2*(f - 1334)*(f - 356)**2/7
Suppose 2*z**2/7 + 327948*z/7 + 13443736338/7 = 0. What is z?
-81987
Solve -4*h**5 + 20552*h**4 + 82252*h**3 + 102832*h**2 + 41136*h = 0.
-2, -1, 0, 5142
What is z in -2*z**3/19 + 4490*z**2/19 - 2508750*z/19 - 12656250/19 = 0?
-5, 1125
Factor -5*j**2 + 17695*j + 770130.
-5*(j - 3582)*(j + 43)
Suppose -2*z**5 + 3576*z**4 - 3568*z**3 - 10724*z**2 + 3570*z + 7148 = 0. Calculate z.
-1, 1, 2, 1787
Factor -5*q**2 - 457530*q - 10466685045.
-5*(q + 45753)**2
Factor a**2/3 + 25682*a/3 + 164891281/3.
(a + 12841)**2/3
Factor 4*l**2 + 191*l/2 + 945/2.
(l + 7)*(8*l + 135)/2
Solve 2*p**2/13 - 81248*p/13 + 825154688/13 = 0.
20312
Factor -b**2/5 - 47*b/5 - 546/5.
-(b + 21)*(b + 26)/5
Determine s, given that -2*s**4/5 + 563*s**3/5 - 7293*s**2/5 + 15298*s/5 - 5896/5 = 0.
1/2, 2, 11, 268
Determine j, given that -j**3/2 + 7*j**2 + 784*j + 1536 = 0.
-32, -2, 48
Solve -16*t**4 + 828*t**3 - 1412*t**2 + 600*t = 0 for t.
0, 3/4, 1, 50
Factor 5*y**3 - 370*y**2 + 4520*y + 62400.
5*(y - 52)*(y - 30)*(y + 8)
Factor -2*b**2 - 26*b.
-2*b*(b + 13)
Factor 2*y**3/13 - 84*y**2/13 - 2*y/13 + 84/13.
2*(y - 42)*(y - 1)*(y + 1)/13
Factor d**4/6 + 161*d**3/6 - 221*d**2/2 - 159*d/2 + 495.
(d - 3)**2*(d + 2)*(d + 165)/6
Determine o so that o**4/3 - 2*o**3 - 356*o**2/3 + 8*o + 1408/3 = 0.
-16, -2, 2, 22
Let -2*a**4/3 - 128*a**3/3 + 140*a**2 + 1216*a/3 + 670/3 = 0. Calculate a.
-67, -1, 5
Find r such that 4*r**2 + 46260*r + 46256 = 0.
-11564, -1
Let -h**3 + 475*h**2 - 1418*h + 944 = 0. What is h?
1, 2, 472
Factor c**2/4 - 1623*c/4 - 1625/2.
(c - 1625)*(c + 2)/4
Let -3*r**4/5 + 102*r**3/5 + 2244*r**2/5 - 75702*r/5 - 77841/5 = 0. Calculate r.
-27, -1, 31
Factor 3*s**3/5 + 186*s**2/5 + 3291*s/5 + 3192.
3*(s + 8)*(s + 19)*(s + 35)/5
Determine c so that -3*c**5 + 69*c**4 + 705*c**3 - 2049*c**2 - 5922*c - 3240 = 0.
-9, -1, 4, 30
Find r such that r**3 - 44*r**2 + 201*r + 1026 = 0.
-3, 9, 38
Factor -243*g**2/5 + 12744*g/5 - 167088/5.
-3*(9*g - 236)**2/5
Factor b**3 + 2241*b**2 + 1249899*b - 6305645.
(b - 5)*(b + 1123)**2
Suppose k**2/2 + 207*k/2 + 205 = 0. Calculate k.
-205, -2
Suppose -2*x**3 + 3092*x**2 - 27646*x - 30740 = 0. Calculate x.
-1, 10, 1537
Factor -5*d**3 - 46760*d**2 - 93505*d - 46750.
-5*(d + 1)**2*(d + 9350)
Determine f so that -4*f**3 + 621664*f**2 - 1864956*f = 0.
0, 3, 155413
Let 4*g**5 + 268*g**4 + 3688*g**3 - 29952*g**2 - 72576*g = 0. What is g?
-36, -2, 0, 7
Factor 2*d**2 + 103400*d + 1336445000.
2*(d + 25850)**2
Suppose -50*y**5/3 + 1870*y**4/3 - 5642*y**3/3 - 4766*y**2/3 + 2524*y/3 - 272/3 = 0. What is y?
-1, 1/5, 4, 34
Find n such that -n**3/8 + 123*n**2/8 + 1057*n/8 - 1179/8 = 0.
-9, 1, 131
Suppose 2*f**5/5 - 148*f**4 + 72034*f**3/5 - 660256*f**2/5 + 221472*f - 103680 = 0. Calculate f.
1, 8, 180
Let k**3/7 - 165*k**2/7 + 486*k/7 = 0. Calculate k.
0, 3, 162
Let -2*w**4 + 42*w**3 + 64*w**2 - 2400*w + 6400 = 0. What is w?
-8, 4, 5, 20
Factor -q**3/9 - 9776*q**2/3 - 71687407*q/3 - 430007138/9.
-(q + 2)*(q + 14663)**2/9
Solve -l**2/4 - 500*l - 999 = 0 for l.
-1998, -2
Factor 2*f**2 - 1930*f + 17208.
2*(f - 956)*(f - 9)
Factor -2*r**2 - 36514*r - 73020.
-2*(r + 2)*(r + 18255)
Let 2*v**4 - 874*v**3 - 3560*v**2 + 13984*v + 56448 = 0. What is v?
-4, 4, 441
Factor -m**3/2 + 372*m**2 + 106488*m + 6566528.
-(m - 976)*(m + 116)**2/2
Factor 7*y**2/6 + 43*y/3 - 208/3.
(y + 16)*(7*y - 26)/6
Factor k**4 + 443*k**3 - 450*k**2 - 2664*k.
k*(k - 3)*(k + 2)*(k + 444)
Solve 5*o**2 + 11975*o + 2234820 = 0.
-2191, -204
Factor 2*p**3 + 46*p**2 - 3180*p.
2*p*(p - 30)*(p + 53)
Suppose b**3 - 78*b**2 - 81*b + 158 = 0. What is b?
-2, 1, 79
Factor 3*z**2 - 2754*z + 396843.
3*(z - 739)*(z - 179)
Determine m so that 3*m**5/2 - 2361*m**4/8 - 2991*m**3/8 + 519*m**2 + 297*m/2 = 0.
-2, -1/4, 0, 1, 198
Factor -4*c**3 - 228*c**2 + 31720*c.
-4*c*(c - 65)*(c + 122)
Factor l**3/5 - 217269*l**2/5 + 869064*l/5 - 173812.
(l - 217265)*(l - 2)**2/5
Suppose 5*r**5/3 - 10*r**4 + 15*r**3 = 0. What is r?
0, 3
Factor -115*y**2 + 15030*y - 196040.
-5*(y - 116)*(23*y - 338)
Factor -5*f**2 - 515645*f + 515650.
-5*(f - 1)*(f + 103130)
Factor -5*w**4 + 212570*w**3 - 637680*w**2 + 637670*w - 212555.
-5*(w - 42511)*(w - 1)**3
Find w such that 52*w**5/7 - 163958*w**4/7 + 18451786*w**3 + 124680778*w**2/7 - 263627090*w/7 + 9947716/7 = 0.
-2, 1/26, 1, 1577
Find k such that -2*k**4/3 + 3112*k**3 - 4845380*k**2 + 7563582200*k/3 - 7520057750 = 0.
3, 1555
Solve 2*w**5 - 1472*w**4 + 267878*w**3 + 1096672*w**2 - 267880*w - 1095200 = 0.
-4, -1, 1, 370
Factor 2*n**2/17 - 152*n/17 - 5824/17.
2*(n - 104)*(n + 28)/17
Factor -64*i**3/5 - 121312*i**2/5 + 60668*i/5 - 7584/5.
-4*(i + 1896)*(4*i - 1)**2/5
Factor -h**4/5 + 19*h**3 - 2623*h**2/5 + 16641*h/5.
-h*(h - 43)**2*(h - 9)/5
Determine u, given that -645*u**4 + 4509*u**3 + 3267*u**2 - 48345*u - 450 = 0.
-3, -2/215, 5
Let -2*b**4 + 100*b**3/3 - 202*b**2 + 528*b - 