36*z**2/3 - 456*z - 208/3 = 0.
-13, -2, -1, -2/9
Determine a, given that 4*a**3 - 520*a**2 + 21168*a - 256608 = 0.
22, 54
Find h, given that 3*h**3 - 3627*h**2 - 252255*h - 248625 = 0.
-65, -1, 1275
Determine r so that -4*r**2 + 108792*r + 217600 = 0.
-2, 27200
Factor -o**2 + 214*o - 5208.
-(o - 186)*(o - 28)
Factor -2*l**2 - 1372*l - 12186.
-2*(l + 9)*(l + 677)
Factor 2*u**3/7 - 2490*u**2/7 - 4994*u/7 + 7482/7.
2*(u - 1247)*(u - 1)*(u + 3)/7
Solve 3*g**3 - 6123*g**2 - 61455*g - 153825 = 0.
-5, 2051
Factor -h**4 - 72*h**3 - 207*h**2.
-h**2*(h + 3)*(h + 69)
What is n in n**2/2 + 13997*n/2 - 21000 = 0?
-14000, 3
Suppose -j**4 + 879*j**3 + 3528*j**2 + 3532*j = 0. Calculate j.
-2, 0, 883
Factor -8*v**4/9 + 406*v**3/9 + 34*v**2/3.
-2*v**2*(v - 51)*(4*v + 1)/9
Find d, given that 3*d**4 + 75*d**3 + 456*d**2 + 384*d = 0.
-16, -8, -1, 0
Find p such that p**3 + 108*p**2 + 2921*p + 5418 = 0.
-63, -43, -2
Factor 5*u**5 - 2260*u**4 - 62140*u**3 + 71759520*u**2 + 5040947520*u.
5*u*(u - 324)**2*(u + 98)**2
Suppose l**4 - 62*l**3 - 271*l**2 + 452*l + 660 = 0. What is l?
-5, -1, 2, 66
Suppose -60*i**3 - 110452*i**2 - 95672*i + 14720 = 0. Calculate i.
-1840, -1, 2/15
Factor -c**2 - 190*c + 4899.
-(c - 23)*(c + 213)
Find x, given that 4*x**3 + 18200*x**2 + 18196*x = 0.
-4549, -1, 0
Suppose -20*k**2 + 761655*k + 190415 = 0. Calculate k.
-1/4, 38083
Factor -420*q**3 + 660236*q**2 - 259468032*q - 2471184.
-4*(q - 786)**2*(105*q + 1)
Factor 3*h**2 + 11100*h - 211983.
3*(h - 19)*(h + 3719)
Let 2*y**5 - 482*y**4 - 34896*y**3 - 386920*y**2 + 5567296*y = 0. Calculate y.
-34, 0, 8, 301
Find o such that -2*o**4/7 - 708*o**3/7 - 92898*o**2/7 - 764640*o - 16329600 = 0.
-105, -72
Suppose -2*a**2/5 + 242*a/5 - 484 = 0. What is a?
11, 110
Factor -10*x**3 + 343*x**2/2 - 1451*x/2 + 105.
-(x - 10)*(x - 7)*(20*x - 3)/2
Let -h**4/4 + 989*h**3/4 - 13675*h**2/4 + 24387*h/4 - 2925 = 0. What is h?
1, 12, 975
Determine h so that -2*h**5/3 + 66*h**4 - 946*h**3/3 + 554*h**2/3 + 316*h - 752/3 = 0.
-1, 1, 4, 94
Factor d**3/5 + 5293*d**2/5 - 10589*d/5 + 1059.
(d - 1)**2*(d + 5295)/5
Solve 867*j**5/2 + 728178*j**4 - 3258429*j**3/2 + 1082253*j**2 - 191742*j + 10092 = 0.
-1682, 2/17, 1
Let -5*b**3 + 272410*b**2 - 544805*b + 272400 = 0. What is b?
1, 54480
Factor z**3/2 - 135*z**2/2 + 2100*z + 12250.
(z - 70)**2*(z + 5)/2
Factor 12*l**3 - 18302*l**2 - 51958*l + 9168.
2*(l - 1528)*(l + 3)*(6*l - 1)
Suppose 28*m**5 + 188*m**4 + 160*m**3 - 576*m**2 = 0. What is m?
-4, 0, 9/7
Let m**4 - 415*m**3/2 - 2331*m**2/2 - 2565*m/2 + 1917/2 = 0. Calculate m.
-3, 1/2, 213
Factor 4*x**2 + 146087*x - 36522.
(x + 36522)*(4*x - 1)
Find y such that -2*y**3/11 - 1934*y**2/11 - 108840*y/11 = 0.
-907, -60, 0
Find w such that 188356*w**3 + 76657420*w**2 - 1413088*w + 6512 = 0.
-407, 2/217
Suppose -r**2/4 + 5876*r - 23503/4 = 0. What is r?
1, 23503
Factor -34*d**4/3 + 574*d**3/3 + 68*d**2/3.
-2*d**2*(d - 17)*(17*d + 2)/3
Find j, given that -94*j**2 - 3536*j + 1368 = 0.
-38, 18/47
Let 2*q**4/9 + 524*q**3/9 - 4898*q**2/9 - 5420*q/9 = 0. What is q?
-271, -1, 0, 10
Factor 3*j**2/2 + 1971*j/2 + 5859.
3*(j + 6)*(j + 651)/2
Factor -3*u**2/4 + 49506*u + 198027/4.
-3*(u - 66009)*(u + 1)/4
What is g in -3*g**2/7 - 10863*g/7 + 406038/7 = 0?
-3658, 37
Solve 2*z**3 + 46*z**2 - 216*z = 0 for z.
-27, 0, 4
Factor 5*r**2 + 641645*r + 641640.
5*(r + 1)*(r + 128328)
Solve -1406596*p**3 + 15377676*p**2 + 1042080*p + 17600 = 0 for p.
-20/593, 11
Solve 49*o**5/4 + 4599*o**4/2 - 7726*o**3 - 14585*o**2/2 + 10119*o/4 - 191 = 0.
-191, -1, 1/7, 4
Factor -3*m**3/2 - 61*m**2/2 + 355*m/2 + 125/2.
-(m - 5)*(m + 25)*(3*m + 1)/2
Determine v, given that 2*v**5/3 - 28520*v**4/3 + 33872248*v**3 + 406809280*v**2/3 + 406923392*v/3 = 0.
-2, 0, 7132
Determine j, given that 2*j**2 + 15816*j = 0.
-7908, 0
Factor 3*l**5 + 39*l**4 + 69*l**3 + 33*l**2.
3*l**2*(l + 1)**2*(l + 11)
Solve -j**2/4 - 1355*j/4 - 1014 = 0.
-1352, -3
Factor g**5 + 278*g**4 + 4234*g**3 + 11044*g**2 + 10493*g + 3406.
(g + 1)**3*(g + 13)*(g + 262)
Factor 2*n**3/7 + 202*n**2 - 20140*n/7 + 4944.
2*(n - 12)*(n - 2)*(n + 721)/7
Find m such that 33*m**4 + 1002*m**3 - 8955*m**2 + 23112*m - 18468 = 0.
-38, 18/11, 3
Factor 2701803*t**4/8 - 2519595*t**3/4 + 1985259*t**2/8 + 42480*t + 1536.
3*(t - 1)**2*(949*t + 64)**2/8
Determine n, given that -4*n**2 + 34772*n - 382008 = 0.
11, 8682
Solve -6*s**5 - 922*s**4/3 - 908*s**3 + 2896*s**2/3 + 256*s = 0.
-48, -4, -2/9, 0, 1
Let -j**3 + 71*j**2/4 - 56*j + 49 = 0. What is j?
7/4, 2, 14
Let p**5 - 96*p**4 + 2332*p**3 - 14304*p**2 + 25792*p = 0. Calculate p.
0, 4, 26, 62
Find h such that h**2/2 + 541481*h + 293201673361/2 = 0.
-541481
Factor -3*h**4/4 - 84135*h**3/2 - 786508002*h**2 - 9802511342169*h/2 + 19608168884619/4.
-3*(h - 1)*(h + 18697)**3/4
Let -3*z**3/5 + 31806*z**2/5 - 95397*z/5 + 63594/5 = 0. Calculate z.
1, 2, 10599
Solve i**3 + 29*i**2 + 259*i + 735 = 0 for i.
-15, -7
Solve 3*a**5 + 8556*a**4 + 5996955*a**3 - 147461874*a**2 + 1021494804*a - 1501254744 = 0 for a.
-1438, 2, 11
Solve v**3/2 + 147*v**2/2 + 217*v + 144 = 0.
-144, -2, -1
Solve 2*i**3/9 + 6466*i**2/9 - 2156*i/3 = 0 for i.
-3234, 0, 1
Suppose 2*b**4 + 152*b**3 - 5760*b**2 + 61600*b - 212000 = 0. Calculate b.
-106, 10
Determine z so that -z**3 + 43*z**2 + 1458*z + 3960 = 0.
-20, -3, 66
Factor -25*q**2 - 10040*q - 6015.
-5*(q + 401)*(5*q + 3)
Factor -2*h**3/9 - 460*h**2/9 + 5302*h/9.
-2*h*(h - 11)*(h + 241)/9
Factor -2*m**2/5 + 96*m/5 - 1144/5.
-2*(m - 26)*(m - 22)/5
Solve s**5/5 - 544*s**4/5 - 2187*s**3/5 - 2738*s**2/5 - 1096*s/5 = 0 for s.
-2, -1, 0, 548
Factor b**3/7 - 130*b**2/7 - 15367*b/7 + 1999996/7.
(b - 127)**2*(b + 124)/7
Find p such that -4*p**3 + 315500*p**2 = 0.
0, 78875
Determine p so that -p**4/4 + 1915*p**3 - 7261319*p**2/2 - 140045865*p - 5348143161/4 = 0.
-19, 3849
Solve 2*l**3 + 276*l**2 + 8640*l - 62208 = 0 for l.
-72, 6
Factor -3*n**4 + 204*n**3 + 633*n**2 + 426*n.
-3*n*(n - 71)*(n + 1)*(n + 2)
Let 2*w**3 + 34260*w**2 + 146272056*w - 3826268368 = 0. What is w?
-8578, 26
Let 3*b**5 + 33*b**4 + 66*b**3 - 234*b**2 - 837*b - 567 = 0. Calculate b.
-7, -3, -1, 3
Suppose -h**4 - 2414*h**3 - 43089*h**2 + 93424*h - 47920 = 0. What is h?
-2396, -20, 1
Solve -l**3 + 489*l**2 + 2476*l - 2964 = 0 for l.
-6, 1, 494
Suppose l**4/4 + 27*l**3/2 + 35*l**2 - 750*l = 0. Calculate l.
-50, -10, 0, 6
What is p in 3*p**3/2 - 171*p**2/2 + 1377*p/2 + 1551/2 = 0?
-1, 11, 47
Suppose -x**2/5 - 4603*x/5 + 13818/5 = 0. Calculate x.
-4606, 3
Let -2*h**4/15 + 860*h**3 - 6950912*h**2/5 + 33176300*h/3 + 62249046/5 = 0. What is h?
-1, 9, 3221
Factor q**2 + 92886*q + 2156952249.
(q + 46443)**2
Factor 31046*x**2 - 1862*x + 12.
2*(19*x - 1)*(817*x - 6)
Factor -2*b**2/5 + 252*b/5.
-2*b*(b - 126)/5
Let -2*f**5/21 - 1028*f**4/21 - 61288*f**3/7 - 1806692*f**2/3 - 216537350*f/21 = 0. Calculate f.
-163, -25, 0
Factor -s**3 + 6958*s**2 - 48663*s + 41706.
-(s - 6951)*(s - 6)*(s - 1)
Solve -48*k**5 + 16008*k**4 + 122301*k**3 + 156357*k**2 + 55242*k = 0.
-6, -3/4, 0, 341
Find z such that 5*z**4 - 80*z**3 - 3255*z**2 + 57330*z = 0.
-26, 0, 21
Find o, given that -3*o**2 + 3063216*o - 781941021888 = 0.
510536
Let -168*d**5 + 9945*d**4 - 100023*d**3 + 175068*d**2 - 9996*d - 33840 = 0. What is d?
-3/8, 4/7, 2, 10, 47
Factor -s**2 + 6019*s - 72084.
-(s - 6007)*(s - 12)
Let 273*d**2 + 272*d - 1 = 0. What is d?
-1, 1/273
Factor 2*h**2 + 172*h + 656.
2*(h + 4)*(h + 82)
Suppose -y**2/4 + 6421*y/4 = 0. What is y?
0, 6421
Find c, given that 2*c**2/9 + 808*c/9 + 19282/3 = 0.
-311, -93
Factor 392*m**4/5 - 168728*m**3/5 + 72258*m**2/5 - 1548*m.
2*m*(m - 430)*(14*m - 3)**2/5
Let 2*j**4/17 + 3784*j**3/17 + 1801148*j**2/17 + 10704936*j/17 + 16006482/17 = 0. What is j?
-943, -3
Determine k, given that 2*k**4/7 - 228*k**3/7 - 5984*k**2/7 = 0.
-22, 0, 136
Factor -2*r**4/9 - 208*r**3 - 58124*r**2 - 4423536*r - 100507842.
-2*(r + 51)**2*(r + 417)**2/9
Find m, given that 2*m**2/11 + 908*m/11 + 7136/11 = 0.
-446, -8
Factor -4*a**3 - 4152*a**2 - 668484*a - 29475792.
-4*(a + 93)**2*(a + 852)
Let 5*l**2 + 1460*l - 10465 = 0. Calculate l.
-299, 7
Factor 4*c**2/3 + 68*c/3 + 80.
4*(c + 5)*(c + 12)/3
Determine u, given that 5*u**5 - 415*u**4 - 23975*u**3 - 108125*u**2 + 3843750*u = 0.
-25, 0, 10, 123
What is v in 4*v**4/3 + 603368*v**3/3 - 4*v**