
1/5, 23831
Find w, given that 2*w**5/11 - 136*w**4/11 - 1590*w**3/11 + 180*w**2 + 28728*w/11 - 50544/11 = 0.
-9, -6, 2, 3, 78
Factor x**2/5 - 11718*x/5 + 34327881/5.
(x - 5859)**2/5
Suppose -5*u**2/3 - 1275*u - 50610 = 0. Calculate u.
-723, -42
Determine q so that 3*q**3 + 41577*q**2 - 166344*q + 166356 = 0.
-13863, 2
Factor -n**2/6 + 365*n/6 - 121.
-(n - 363)*(n - 2)/6
Determine b so that b**2/2 - 21863*b/2 - 10932 = 0.
-1, 21864
Find w such that -2*w**4 - 1666*w**3 - 18076*w**2 + 6664*w + 72336 = 0.
-822, -11, -2, 2
Solve t**2/9 - 303818*t/9 + 23076344281/9 = 0 for t.
151909
Factor 6125*c**4 - 12899950*c**3 + 6792929345*c**2 - 776208420*c + 22176180.
5*(c - 1053)**2*(35*c - 2)**2
Factor 5*b**4 - 5405*b**3 + 21555*b**2 - 16155*b.
5*b*(b - 1077)*(b - 3)*(b - 1)
Let -2*t**4/5 + 142*t**3/5 + 2490*t**2 - 177750*t = 0. Calculate t.
-79, 0, 75
Let b**4/2 - 173*b**3/2 + 3111*b**2/2 - 7803*b/2 = 0. Calculate b.
0, 3, 17, 153
Let 45*j**3/2 - 1331*j**2 + 51037*j/2 - 156584 = 0. What is j?
592/45, 23
Suppose q**3/6 + 595*q**2/3 - 3577*q/6 + 1193/3 = 0. What is q?
-1193, 1, 2
Let -2*r**2/13 - 211176*r/13 - 5574412872/13 = 0. Calculate r.
-52794
Let -j**2/3 - 357188*j/3 - 31895816836/3 = 0. Calculate j.
-178594
Let n**5/4 - 37*n**4/2 - 1105*n**3/4 - 1151*n**2/2 + 870*n = 0. What is n?
-10, -4, 0, 1, 87
Determine g so that -g**3/6 + 53*g**2/6 + 3133*g/6 + 29575/6 = 0.
-25, -13, 91
Let -5*y**4 - 1215*y**3 + 6180*y**2 - 4960*y = 0. Calculate y.
-248, 0, 1, 4
Find r, given that -3*r**3/2 - 2439*r**2/2 - 6024*r + 29088 = 0.
-808, -8, 3
Factor 2*x**5/5 + 10704*x**4/5 + 14311244*x**3/5 - 28654608*x**2/5 + 14332658*x/5.
2*x*(x - 1)**2*(x + 2677)**2/5
Find m such that -4*m**2 + 64736*m - 261921856 = 0.
8092
Factor b**3 + 367*b**2 - 38336*b + 37968.
(b - 84)*(b - 1)*(b + 452)
Solve 39*r**5 + 279*r**4 - 2688*r**3 + 3636*r**2 + 624*r = 0.
-13, -2/13, 0, 2, 4
Factor 3*g**5/5 - 24*g**4 - 12606*g**3/5 + 55224*g**2 + 15883803*g/5.
3*g*(g - 59)**2*(g + 39)**2/5
Let -20*j**3 + 30525*j**2 - 68590*j + 15240 = 0. What is j?
1/4, 2, 1524
Let s**2/2 + 2075*s = 0. Calculate s.
-4150, 0
Factor -t**2 - 4930*t - 6076225.
-(t + 2465)**2
Suppose x**2/5 - 812*x/5 - 44928/5 = 0. Calculate x.
-52, 864
Let -p**2/2 - 211*p/2 + 34338 = 0. What is p?
-388, 177
Factor 2*m**3 - 2662*m**2 - 107024*m + 224680.
2*(m - 1370)*(m - 2)*(m + 41)
Factor 3*x**3/5 - 99*x**2 + 9234*x/5 - 23328/5.
3*(x - 144)*(x - 18)*(x - 3)/5
Solve 2*k**2/5 - 13966*k - 279352/5 = 0.
-4, 34919
Find m such that -4*m**3/3 - 11742*m**2 + 88084*m/3 - 17618 = 0.
-8809, 1, 3/2
Factor -3*c**2 + 18261*c - 91230.
-3*(c - 6082)*(c - 5)
Determine f so that -648*f**5/19 - 13896*f**4/19 + 8518*f**3/19 + 12796*f**2/19 - 7870*f/19 + 1100/19 = 0.
-22, -1, 5/18, 1
Factor -3*q**2 + 1761*q + 1764.
-3*(q - 588)*(q + 1)
Determine p so that 3*p**3/8 - 42*p**2 + 6885*p/8 = 0.
0, 27, 85
What is w in -w**4/3 - 4*w**3/3 + 1364*w**2/3 + 912*w = 0?
-38, -2, 0, 36
Determine c, given that -2*c**5/7 + 306*c**4/7 - 148*c**3 - 23252*c**2/7 + 1038*c/7 + 3278 = 0.
-7, -1, 1, 11, 149
Factor -42951*o**4 - 60*o**3.
-3*o**3*(14317*o + 20)
Factor -2*a**4/3 - 204*a**3 - 23184*a**2 - 1161684*a - 21681594.
-2*(a + 69)**3*(a + 99)/3
Suppose -2*p**4/13 + 5892*p**3/13 - 29416*p**2/13 + 1356*p + 52938/13 = 0. What is p?
-1, 3, 2941
Determine n, given that -2*n**3/9 + 5536*n**2/9 - 3874816*n/9 + 60588032/9 = 0.
16, 1376
Factor -5*d**2 + 1440*d - 37555.
-5*(d - 259)*(d - 29)
Factor 12*b**3 + 2540*b**2 - 27488*b + 8880.
4*(b - 10)*(b + 222)*(3*b - 1)
What is w in -w**5/2 + 19*w**4 + 4540*w**3 - 51336*w**2 - 12035304*w - 176464656 = 0?
-54, -18, 82
Determine w, given that -w**5/9 - 18746*w**4/9 - 87834380*w**3/9 + 175743752*w**2/9 = 0.
-9374, 0, 2
Factor -3*a**3/2 + 6513*a**2 - 181188*a.
-3*a*(a - 4314)*(a - 28)/2
Factor 4*s**4 + 1640*s**3 + 117988*s**2 - 10272960*s + 156950784.
4*(s - 27)**2*(s + 232)**2
Factor 2*y**3/13 - 842*y**2/13 + 816*y.
2*y*(y - 408)*(y - 13)/13
Factor 3*f**2 - 485940*f + 19678140300.
3*(f - 80990)**2
Solve -2*a**2/7 - 1514*a/7 - 5832 = 0 for a.
-729, -28
Solve -119*b**2/2 - 473*b/2 + 6 = 0 for b.
-4, 3/119
Factor 43*u**3/4 - 3781*u**2/4 - 4091*u/4 - 267/4.
(u - 89)*(u + 1)*(43*u + 3)/4
Factor 10*v**3/3 + 35746*v**2/3 + 159989822*v/15 + 159454082/5.
2*(v + 3)*(5*v + 8929)**2/15
Suppose x**4 + 235*x**3 + 11889*x**2 - 230875*x + 218750 = 0. What is x?
-125, 1, 14
Factor 2*o**2/3 + 149716*o + 8405580246.
2*(o + 112287)**2/3
Suppose 3*c**3 + 48951*c**2 = 0. Calculate c.
-16317, 0
Factor 11*k**2 - 14799*k + 29554.
(k - 2)*(11*k - 14777)
Determine z, given that -189*z**5 + 102330*z**4 - 13821822*z**3 - 7926748*z**2 - 662053*z + 146882 = 0.
-1/3, 2/21, 271
Factor 8*j**3 - 13810*j**2.
2*j**2*(4*j - 6905)
What is z in z**4/2 + 19*z**3/2 - 83*z**2 + 202*z - 156 = 0?
-26, 2, 3
Determine r, given that -r**4 + 100*r**3 + 519*r**2 + 630*r = 0.
-3, -2, 0, 105
Find n such that 15*n**4 - 864*n**3 + 14667*n**2 - 75114*n - 32448 = 0.
-2/5, 13, 32
Factor m**2/7 - 527*m/7 + 16762/7.
(m - 493)*(m - 34)/7
Factor -5*z**2/2 - 6380*z + 478965/2.
-5*(z - 37)*(z + 2589)/2
Determine h, given that -4*h**5 - 8180*h**4 - 8088*h**3 + 179696*h**2 - 359648*h + 196224 = 0.
-2044, -6, 1, 2
Solve -171*z**2 + 35399*z/3 - 46 = 0 for z.
2/513, 69
Suppose 2*j**5/13 - 2838*j**4/13 - 5686*j**3/13 + 2838*j**2/13 + 5684*j/13 = 0. Calculate j.
-2, -1, 0, 1, 1421
Solve 2*g**2 + 1348*g - 4062 = 0 for g.
-677, 3
Factor -5*b**3/3 - 1220*b**2/3 + 1235*b.
-5*b*(b - 3)*(b + 247)/3
Factor 2*p**5/3 + 2014*p**4/3 + 673334*p**3/3 + 73827938*p**2/3 - 303456368*p/3 + 306182024/3.
2*(p - 2)**2*(p + 337)**3/3
Factor -2*s**3 - 106*s**2 + 450*s - 342.
-2*(s - 3)*(s - 1)*(s + 57)
Factor -2*n**2/7 - 282192*n - 69678284256.
-2*(n + 493836)**2/7
Factor -4461*d**3 - 115983*d**2 - 753831*d + 507.
-3*(d + 13)**2*(1487*d - 1)
Factor -z**2/8 - 2589*z/8 + 2593/2.
-(z - 4)*(z + 2593)/8
Find r, given that -12*r**5 + 4869*r**4 - 221982*r**3 - 516864*r**2 - 348246*r - 58245 = 0.
-1, -1/4, 55, 353
Find p such that p**4 - 836*p**3 + 1669*p**2 - 834*p = 0.
0, 1, 834
Factor j**2/6 - 2712*j + 11032416.
(j - 8136)**2/6
Let 18*f**5/7 - 4020*f**4/7 + 31272*f**3 + 90468*f**2 - 1154634*f/7 + 306456/7 = 0. What is f?
-4, 1/3, 1, 113
Find s such that 40*s**4 - 125*s**3 - 1340*s**2 + 1425*s = 0.
-5, 0, 1, 57/8
Factor 4*t**4 + 21732*t**3 + 29331900*t**2 - 504942500*t.
4*t*(t - 17)*(t + 2725)**2
Determine c so that -4*c**3 - 52*c**2 + 5680*c + 78736 = 0.
-37, -14, 38
Find k, given that -5*k**5 - 65*k**4 - 325*k**3 - 775*k**2 - 870*k - 360 = 0.
-4, -3, -2, -1
Factor y**4/3 - 20*y**3 - 4975*y**2/3 + 8750*y.
y*(y - 105)*(y - 5)*(y + 50)/3
Suppose 3*g**4/8 - 36771*g**3/8 - 18387*g**2/4 = 0. What is g?
-1, 0, 12258
Suppose -29*n**4 + 180187*n**3/5 - 11207685*n**2 + 37414629*n/5 - 2313846/5 = 0. What is n?
2/29, 3/5, 621
Factor 3*a**2/7 - 46338*a/7 - 185400/7.
3*(a - 15450)*(a + 4)/7
Solve 2*u**3/9 - 298*u**2 - 13460*u/9 = 0 for u.
-5, 0, 1346
Let -2*y**2/3 + 2632*y/3 + 5272/3 = 0. What is y?
-2, 1318
Solve 2*w**4/11 - 45068*w**3/11 + 22965958*w**2 + 14253205680*w/11 + 200040775200/11 = 0.
-28, 11295
Solve 2*m**3/13 + 184*m**2/13 + 3112*m/13 - 51520/13 = 0 for m.
-56, -46, 10
Suppose -8*p**5/7 - 258*p**4/7 + 2390*p**3/7 - 3564*p**2/7 + 1440*p/7 = 0. What is p?
-40, 0, 3/4, 1, 6
Factor 363*g**3 - 60390*g**2 + 2570976*g - 4903296.
3*(g - 2)*(11*g - 904)**2
Let -6*h**2/7 + 7650*h/7 + 92664/7 = 0. Calculate h.
-12, 1287
Factor 3*u**5/4 + 21*u**4 - 828*u**3 + 5616*u**2.
3*u**2*(u - 12)**2*(u + 52)/4
Solve -6520*d**4 + 17950*d**3 - 16355*d**2 + 4940*d - 15 = 0.
1/326, 3/4, 1
Let -3*b**2/2 - 68139*b/2 + 136302 = 0. What is b?
-22717, 4
Factor 2*d**2/9 - 61300*d/9 - 143066/3.
2*(d - 30657)*(d + 7)/9
Let 5*v**3/4 + 34575*v**2/4 + 8640*v - 17285 = 0. What is v?
-6914, -2, 1
Solve 4*y**2 - 1796*y + 1792 = 0 for y.
1, 448
Factor -2*b**2/7 + 60468*b/7 - 457047378/7.
-2*(b - 15117)**2/7
Find l such that 6*l**5/11 - 648*l**4/11 - 708*l**3/11 + 5952*l**2/11 - 7218*l/11 + 2616/11 = 0.
-4, 1, 109
Determine r, given that 6*r**3 + 15201*r**2 + 53148*r + 45540 = 0.
-2530, -2, -3/2
Determine i so that -2*i**2/11 + 11156*i/11 + 280150/11 = 0.
-25, 5603
Factor -2*g**2/17 - 54608*g/17 + 54610/17.
-2*(g - 1)*(g + 27305)/17
Suppose -7*w**2/6 + 69*w/2 - 58/3 = 0. W