6312.
-2*(v - 21534)**2
Factor 3*l**5 - 1080*l**4 - 9882*l**3 - 29808*l**2 - 29889*l.
3*l*(l - 369)*(l + 3)**3
Factor 2*h**2/9 + 597712*h/9 + 44657454368/9.
2*(h + 149428)**2/9
Solve 2*u**4/7 - 136*u**3/7 - 1356*u**2/7 - 2360*u/7 + 550 = 0.
-5, 1, 77
Factor 2*k**3/3 - 39518*k**2 + 585646880*k - 1756822088/3.
2*(k - 29638)**2*(k - 1)/3
Suppose -9*p**3/4 + 76371*p**2/2 - 967023*p/4 + 152685/2 = 0. Calculate p.
1/3, 6, 16965
Factor i**2/2 + 15768*i + 124314912.
(i + 15768)**2/2
Factor 3*z**3/4 - 19395*z**2/4 + 31376241*z/4 - 93954249/4.
3*(z - 3231)**2*(z - 3)/4
Factor -500*o**3 + 36920*o**2 + 29584*o/5 + 1184/5.
-4*(o - 74)*(25*o + 2)**2/5
Let 5*a**3 - 145*a**2 - 3070*a + 14280 = 0. What is a?
-17, 4, 42
Find u such that -4*u**5 - 1012*u**4 + 1064*u**3 + 12080*u**2 - 28384*u + 16256 = 0.
-254, -4, 1, 2
Factor -3*v**3/4 - 21*v**2 + 999*v/4.
-3*v*(v - 9)*(v + 37)/4
Determine v so that 3*v**3/2 + 262*v**2 + 22793*v/2 - 3828 = 0.
-88, -87, 1/3
Suppose 53955*u**3 + 219980*u**2 + 16720*u + 320 = 0. What is u?
-4, -4/99, -4/109
Factor -d**3/3 + 80384*d**2/3 + d/3 - 80384/3.
-(d - 80384)*(d - 1)*(d + 1)/3
What is d in 3*d**5/2 + 51*d**4/2 - 786*d**3 + 2862*d**2 + 3672*d = 0?
-34, -1, 0, 6, 12
Factor l**3/5 - 688*l**2/5 - 3471*l/5 + 4158/5.
(l - 693)*(l - 1)*(l + 6)/5
Factor 3*v**4/7 + 72*v**3/7 - 72*v**2 + 1056*v/7 - 720/7.
3*(v - 2)**3*(v + 30)/7
Determine j so that -j**2 - 13394*j - 44849809 = 0.
-6697
Factor -112*j**2 - 3223*j - 201.
-(7*j + 201)*(16*j + 1)
Factor s**3 + 15468*s**2 + 59814756*s.
s*(s + 7734)**2
Solve -v**5/3 - 266*v**4/3 + 817*v**3/3 + 2690*v**2/3 = 0 for v.
-269, -2, 0, 5
Determine b, given that -b**5/5 + 317*b**4/5 + 3261*b**3/5 + 2943*b**2/5 = 0.
-9, -1, 0, 327
Suppose 2*p**4/3 + 44798*p**3/9 + 27875554*p**2/3 + 9280238*p/3 - 55741156/9 = 0. What is p?
-3733, -1, 2/3
Suppose -h**5/5 - 33*h**4/5 - 201*h**3/5 + 17*h**2/5 + 210*h = 0. Calculate h.
-25, -7, -3, 0, 2
Suppose -2056*w**2 + 4788*w - 2732 = 0. Calculate w.
1, 683/514
Factor 5*d**4/2 + 3235*d**3 + 2067005*d**2/2 - 8423940*d + 16952040.
5*(d - 4)**2*(d + 651)**2/2
Factor -j**5 - 75*j**4 - 2214*j**3 - 32076*j**2 - 227448*j - 629856.
-(j + 9)*(j + 12)*(j + 18)**3
Factor -5*j**2 - 340*j + 4345.
-5*(j - 11)*(j + 79)
Factor 3*s**5 + 4851*s**4 + 2574729*s**3 + 426372825*s**2 - 11784047256*s.
3*s*(s - 24)*(s + 547)**3
Let 2*o**2 + 6754*o - 6756 = 0. What is o?
-3378, 1
Factor 3*c**2/8 + 837*c/8 - 2565/4.
3*(c - 6)*(c + 285)/8
Let -2*f**2 + 1814*f + 27660 = 0. Calculate f.
-15, 922
What is c in 3*c**5 + 63*c**4 - 150*c**3 - 252*c**2 + 552*c = 0?
-23, -2, 0, 2
What is x in 2*x**4/7 + 144*x**3/7 - 2714*x**2/7 - 9120*x/7 - 6264/7 = 0?
-87, -2, -1, 18
What is q in 25*q**4 + 820*q**3 - 3805*q**2 - 34120*q - 29520 = 0?
-36, -4, -1, 41/5
Factor -2*k**2 + 14968*k - 14966.
-2*(k - 7483)*(k - 1)
Factor -g**3 - 2802*g**2 - 1959996*g + 3931208.
-(g - 2)*(g + 1402)**2
Factor 3025*w**3/2 - 33096305*w**2/2 - 1203508*w - 21882.
(w - 10941)*(55*w + 2)**2/2
Factor -5*v**2 - 17920*v.
-5*v*(v + 3584)
Factor 1398*o**2/7 + 4*o/7.
2*o*(699*o + 2)/7
Factor -2*v**4 - 42262*v**3 + 42264*v**2.
-2*v**2*(v - 1)*(v + 21132)
Suppose -b**5/4 + 41*b**4/2 + 1129*b**3/4 - 41*b**2/2 - 282*b = 0. Calculate b.
-12, -1, 0, 1, 94
Suppose -w**5 + 1769*w**4 + 7089*w**3 + 5323*w**2 - 7088*w - 7092 = 0. What is w?
-2, -1, 1, 1773
Let 12*u**4 - 1558*u**3 + 11342*u**2 + 15372*u = 0. What is u?
-7/6, 0, 9, 122
Determine g so that 2*g**2/5 + 10*g + 40 = 0.
-20, -5
Find p, given that 385*p**3 - 22860*p**2 + 8565*p - 590 = 0.
1/11, 2/7, 59
Factor 3*a**2/4 + 3681*a/4 + 1839/2.
3*(a + 1)*(a + 1226)/4
Factor -x**4/6 + 9*x**3/2 - 31*x**2 + 80*x/3.
-x*(x - 16)*(x - 10)*(x - 1)/6
Determine p, given that p**3 + 4905*p**2 + 44064*p = 0.
-4896, -9, 0
What is g in -5*g**4 - 395*g**3 + 2935*g**2 - 6405*g + 3870 = 0?
-86, 1, 3
Suppose 2*l**2/3 + 626552*l/3 + 1253096/3 = 0. Calculate l.
-313274, -2
Let v**3/10 - 3927*v**2/10 + 330411*v/10 - 65297/2 = 0. What is v?
1, 85, 3841
Determine x so that x**5 + 61*x**4 + 816*x**3 - 3024*x**2 = 0.
-36, -28, 0, 3
Let -16*b**4 + 2178*b**3 - 254*b**2 - 2448*b = 0. Calculate b.
-1, 0, 9/8, 136
Factor -4*d**2 + 21780*d.
-4*d*(d - 5445)
Suppose -5*h**4 - 40580*h**3 - 82174295*h**2 + 659709420*h - 577494540 = 0. Calculate h.
-4062, 1, 7
What is o in 45*o**2 + 11410*o - 5080 = 0?
-254, 4/9
Factor 8*w**3/9 - 4333*w**2/9 - 1634*w - 545.
(w - 545)*(w + 3)*(8*w + 3)/9
Let 5*v**3/3 - 985*v**2/3 + 23075*v/3 - 48165 = 0. What is v?
13, 171
Factor s**3 - 114*s**2 - 4717*s + 32190.
(s - 145)*(s - 6)*(s + 37)
Factor a**3 + 1895*a**2 + 28214*a + 26320.
(a + 1)*(a + 14)*(a + 1880)
Determine l, given that -18*l**4/11 + 1158*l**3/11 - 19376*l**2/11 + 24312*l/11 - 7936/11 = 0.
2/3, 31, 32
Factor 2*b**2 - 3674*b + 87024.
2*(b - 1813)*(b - 24)
Factor 2*g**2 - 740*g - 12352.
2*(g - 386)*(g + 16)
Factor -2*q**3/3 + 1142*q**2/3 + 4592*q/3 + 4600/3.
-2*(q - 575)*(q + 2)**2/3
Let -14*p**5 - 1420*p**4 + 136240*p**3/7 - 477600*p**2/7 + 240480*p/7 - 32832/7 = 0. What is p?
-114, 2/7, 6
Find w such that -696*w**4 + 49724*w**3 + 55745*w**2/2 + 9139*w/2 + 180 = 0.
-1/4, -5/87, 72
Determine l so that -2*l**3/5 + 56*l**2/5 + 98*l = 0.
-7, 0, 35
Determine w so that -2*w**3 + 8774*w**2 + 149736*w = 0.
-17, 0, 4404
Solve -2*o**2/13 - 163486*o/13 = 0.
-81743, 0
Find p such that -15*p**5 - 8316*p**4 - 19899*p**3 - 14910*p**2 - 3312*p = 0.
-552, -1, -2/5, 0
Determine b so that 3*b**5 - 309*b**4 + 1884*b**3 + 12672*b**2 = 0.
-4, 0, 11, 96
Suppose -4*o**2/5 + 730392*o/5 - 33342029604/5 = 0. Calculate o.
91299
Factor 3*t**2/5 - 4794*t/5 + 236691/5.
3*(t - 1547)*(t - 51)/5
Find q such that -4*q**5/3 + 13580*q**4/3 + 13592*q**3/3 - 9056*q**2 = 0.
-2, 0, 1, 3396
Factor 2*y**3 - 5360*y**2 + 26738*y + 32100.
2*(y - 2675)*(y - 6)*(y + 1)
Factor 5*r**3 - 1660*r**2 + 137780*r.
5*r*(r - 166)**2
Let -4*c**2 + 268168*c + 804540 = 0. What is c?
-3, 67045
Determine m so that -4*m**4 + 6684*m**3/7 + 324528*m**2/7 - 33872*m - 13440 = 0.
-42, -2/7, 1, 280
Determine c, given that -12738*c**3 + 152846*c**2/3 - 152816*c/3 - 40/3 = 0.
-5/19107, 2
Solve -24*u**2 + 268*u + 8300 = 0 for u.
-83/6, 25
Suppose -4*m**3/5 + 848*m**2/5 - 6588*m/5 + 2448 = 0. What is m?
3, 5, 204
Find n, given that n**2 + 13261*n - 79602 = 0.
-13267, 6
Suppose -o**4/2 + 15*o**3/2 + 27*o**2/2 - 1215*o/2 + 2187 = 0. What is o?
-9, 6, 9
Factor 10*j**2 + 8775*j - 13185.
5*(j + 879)*(2*j - 3)
What is n in -2*n**2 + 31738*n + 31740 = 0?
-1, 15870
Factor 7*r**3/2 + 75*r**2/2 - 153*r - 1188.
(r - 6)*(r + 12)*(7*r + 33)/2
Factor 2*z**3 + 416*z**2 + 4726*z + 4312.
2*(z + 1)*(z + 11)*(z + 196)
Factor -z**3/2 + 433*z**2/2 + 36813*z + 72756.
-(z - 564)*(z + 2)*(z + 129)/2
Determine i, given that 4*i**3/5 - 299*i**2/5 + 1419*i/5 - 1674/5 = 0.
2, 3, 279/4
Factor -4*t**3 + 352*t**2 + 3580*t - 8536.
-4*(t - 97)*(t - 2)*(t + 11)
Let u**2/2 - 67*u - 1896 = 0. What is u?
-24, 158
Factor x**2/7 - 354*x/7 + 4320.
(x - 210)*(x - 144)/7
What is d in -d**2 - 9420*d - 9419 = 0?
-9419, -1
Factor t**2/9 - 3871*t/9 + 7738/9.
(t - 3869)*(t - 2)/9
Find w, given that -w**4/3 + 3553*w**3 + w**2 - 31979*w/3 + 7106 = 0.
-2, 1, 10659
Let 2*h**5/15 - 1748*h**4/15 + 5228*h**3/15 - 1736*h**2/15 - 1046*h/3 + 3484/15 = 0. Calculate h.
-1, 1, 2, 871
Factor 5*x**3 + 1695*x**2 + 47475*x + 347625.
5*(x + 15)**2*(x + 309)
What is s in -4*s**2/7 + 4*s/7 + 1338648/7 = 0?
-578, 579
Determine f, given that 2*f**3 + 29072*f**2 - 58150*f + 29076 = 0.
-14538, 1
Factor -3*l**3 - 4629*l**2 + 681651*l - 24009723.
-3*(l - 69)**2*(l + 1681)
Find i, given that -i**2 - 62*i + 12495 = 0.
-147, 85
Find l such that 2*l**2 - 50360*l + 317016200 = 0.
12590
Suppose -2*l**4/17 - 15326*l**3/17 - 153094*l**2/17 - 260218*l/17 - 122448/17 = 0. Calculate l.
-7653, -8, -1
Solve 2*f**4/11 - 24*f**3/11 + 96*f**2/11 - 128*f/11 = 0.
0, 4
Factor 3*y**4 - 9246*y**3 - 46293*y**2 - 37044*y.
3*y*(y - 3087)*(y + 1)*(y + 4)
Determine i, given that -6*i**4 - 586*i**3 + 5794*i**2 + 319434*i - 107100 = 0.
-102, -21, 1/3, 25
Factor -3*r**2/2 + 499899*r - 83299670067/2.
-3*(r - 166633)**2/2
Determine k, given that -9*k**4 - 201*k**3 + 3027*k**2 - 4599*k + 1782 = 0.
-33, 2/3, 1, 9
Find d, given that 2*d**2/11 - 132*d - 107984/11 = 0.
-68, 794
Solve -2*v**3/3 - 13324*v**2 - 639070