798*c**2 + 52454957200*c - 52455605000.
2*(c - 1)*(c + 161950)**2
Factor -4*p**4 + 360*p**3 + 64*p**2 - 5760*p.
-4*p*(p - 90)*(p - 4)*(p + 4)
Let -3*p**2 + 100200*p - 836670000 = 0. Calculate p.
16700
Suppose -4*r**2/7 - 19792*r/7 + 244460 = 0. Calculate r.
-5033, 85
Find w, given that 4*w**2 - 37996*w + 37992 = 0.
1, 9498
Factor -4*o**2 + 288*o - 4284.
-4*(o - 51)*(o - 21)
Factor 4*k**2 - 50924*k + 50920.
4*(k - 12730)*(k - 1)
Find l such that 2*l**5/9 + 8996*l**4/9 - 144356*l**3/9 + 415576*l**2/9 + 144466*l + 81252 = 0.
-4514, -1, 9
Factor 3*t**2/2 - 602637*t + 121057117923/2.
3*(t - 200879)**2/2
What is x in -9*x**5/10 - 413*x**4/5 + 424937*x**3/5 - 39581496*x**2/5 + 19135027*x/2 - 8680591/5 = 0?
-391, 2/9, 1, 149
Find v, given that 8*v**5/5 + 2254*v**4/5 - 7532*v**3/5 - 34834*v**2/5 - 18216*v/5 + 1368 = 0.
-285, -2, -1, 1/4, 6
Factor -2*q**3/9 + 364*q**2/9 - 20672*q/9 + 115520/3.
-2*(q - 76)**2*(q - 30)/9
Let -3*r**3 + 138*r**2 + 44241*r + 44100 = 0. What is r?
-100, -1, 147
Factor -5*w**3 - 9169*w**2 + 47781*w - 60687.
-(w - 3)*(w + 1839)*(5*w - 11)
Factor -3*n**3 + 1758*n**2 - 70173*n + 68418.
-3*(n - 543)*(n - 42)*(n - 1)
Let 2*i**4/7 + 26410*i**3/7 + 11316*i**2 - 8*i/7 - 15088 = 0. Calculate i.
-13202, -2, 1
Factor -2*o**2 + 60712*o.
-2*o*(o - 30356)
Factor v**3/4 + v**2 - 1189*v/4 + 296.
(v - 32)*(v - 1)*(v + 37)/4
Factor -3*i**3 + 49704*i**2 - 99399*i + 49698.
-3*(i - 16566)*(i - 1)**2
Let m**2/4 + 87869*m/2 + 7720961161/4 = 0. Calculate m.
-87869
Factor p**5 + 20*p**4 + 62*p**3 - 44*p**2 - 183*p + 144.
(p - 1)**2*(p + 3)**2*(p + 16)
Factor -2*o**2 - 16224*o - 32902272.
-2*(o + 4056)**2
Factor 4*p**2 - 260*p - 4424.
4*(p - 79)*(p + 14)
Solve 3*j**5/2 - 57*j**4/2 + 375*j**3/2 - 1023*j**2/2 + 567*j - 216 = 0 for j.
1, 3, 6, 8
Suppose 2*u**5 - 28*u**4 + 42*u**3 + 352*u**2 + 280*u = 0. What is u?
-2, -1, 0, 7, 10
Solve 2*v**4/11 - 36*v**3/11 - 6*v**2/11 + 1904*v/11 - 3528/11 = 0 for v.
-7, 2, 9, 14
What is s in 2*s**4 - 20*s**3 - 24*s**2 + 720*s - 1728 = 0?
-6, 4, 6
Factor -5*g**2/2 - 1050875*g - 220867653125/2.
-5*(g + 210175)**2/2
Find z such that z**2/6 - 149588*z/3 = 0.
0, 299176
Factor g**3/3 + 3940*g**2 + 62949*g - 200668/3.
(g - 1)*(g + 17)*(g + 11804)/3
Factor -b**3/4 + 6107*b**2/4 - 10678*b + 18300.
-(b - 6100)*(b - 4)*(b - 3)/4
Factor 3*l**3 - 8286*l**2 - 66480*l.
3*l*(l - 2770)*(l + 8)
Solve -t**5/4 - 115*t**4/2 - 3463*t**3/4 - 4171*t**2/2 + 227*t + 2782 = 0 for t.
-214, -13, -2, 1
What is i in 3*i**5 + 3522*i**4 + 10536*i**3 - 3522*i**2 - 10539*i = 0?
-1171, -3, -1, 0, 1
Factor -s**4/3 - 65*s**3/3 - 802*s**2/3 + 2784*s - 4320.
-(s - 5)*(s - 2)*(s + 36)**2/3
Let -3*b**3/2 - 30543*b**2/8 + 422277*b/8 + 53739/4 = 0. What is b?
-2559, -1/4, 14
Solve -f**3/5 + 185*f**2 - 218008*f/5 + 1887876/5 = 0 for f.
9, 458
Determine p, given that -2*p**4/7 - 10*p**3/7 + 36*p**2 + 2376*p/7 + 5616/7 = 0.
-6, 13
Find r, given that -r**2/2 + 131*r/2 - 1242 = 0.
23, 108
Find y, given that -y**5/4 + 5*y**4 - 91*y**3/4 + 23*y**2 + 23*y - 28 = 0.
-1, 1, 2, 4, 14
Factor 2*g**3/19 - 1492*g**2/19 - 8*g/19 + 5968/19.
2*(g - 746)*(g - 2)*(g + 2)/19
Let n**5/4 + 61*n**4/4 - 39*n**3/2 - 244*n**2 + 248*n = 0. Calculate n.
-62, -4, 0, 1, 4
Factor u**3 + 174*u**2/5 - 631*u + 624/5.
(u - 13)*(u + 48)*(5*u - 1)/5
Factor -g**4 - 362*g**3 - 25236*g**2 + 1440362*g + 1465237.
-(g - 37)*(g + 1)*(g + 199)**2
Suppose -2*m**4/11 - 29424*m**3/11 + 117718*m**2/11 - 147156*m/11 + 58864/11 = 0. What is m?
-14716, 1, 2
Suppose k**2 + 661*k/4 + 165/4 = 0. What is k?
-165, -1/4
Suppose -3*a**5 + 129*a**4 + 6981*a**3 - 7233*a**2 - 6978*a + 7104 = 0. What is a?
-32, -1, 1, 74
Factor -2*h**2 + 64844*h - 525593042.
-2*(h - 16211)**2
Factor g**4/4 + 1679*g**3/4 + 764955*g**2/4 + 49403277*g/4.
g*(g + 77)*(g + 801)**2/4
Find b such that 2*b**2/5 + 4972*b/5 + 3090098/5 = 0.
-1243
Factor 2*f**2 + 182684*f - 548070.
2*(f - 3)*(f + 91345)
Determine s, given that 3*s**4 + 327*s**3 + 12285*s**2 + 172725*s + 514500 = 0.
-35, -4
Factor 2*i**3 - 1141*i**2/2 + 3669*i/2 - 423.
(i - 282)*(i - 3)*(4*i - 1)/2
Find m, given that 2*m**4/5 - 101704*m**3/5 + 344803680*m**2 - 1948600476000*m + 3895821900000 = 0.
2, 16950
Determine h, given that 10*h**3/9 - 1142*h**2/9 + 1334*h/9 + 2486/9 = 0.
-1, 11/5, 113
Suppose 3*o**2/5 - 8958876*o/5 + 6688454931948/5 = 0. What is o?
1493146
Suppose 16*p**4/9 - 5996*p**3/9 + 4440*p**2 - 8844*p + 4416 = 0. What is p?
3/4, 3, 368
Suppose 4*o**4 + 348*o**3 + 968*o**2 - 3360*o = 0. What is o?
-84, -5, 0, 2
Let 5*o**3 - 59240*o**2 + 1064700*o = 0. Calculate o.
0, 18, 11830
Find h, given that h**4 + 28*h**3 - 4377*h**2 + 4288*h + 8692 = 0.
-82, -1, 2, 53
Determine c so that -2*c**5 + 1478*c**4 - 312092*c**3 + 14475732*c**2 - 210195810*c + 508613094 = 0.
3, 27, 341
Find r, given that 4*r**5 - 14560*r**4 + 13350932*r**3 - 184070264*r**2 = 0.
0, 14, 1813
Determine n so that 255*n**4/7 - 124689*n**3/7 + 15303186*n**2/7 - 14821536*n/7 - 357216/7 = 0.
-2/85, 1, 244
Solve -2*x**2/5 - 315288*x/5 - 12425815368/5 = 0 for x.
-78822
Determine z, given that -z**2/2 - 568*z = 0.
-1136, 0
Factor -5*a**3 + 670*a**2 - 12205*a + 38420.
-5*(a - 113)*(a - 17)*(a - 4)
Suppose -6*r**5 - 978*r**4/5 + 3576*r**3/5 - 3432*r**2/5 + 864*r/5 = 0. Calculate r.
-36, 0, 2/5, 1, 2
Find i, given that -2*i**4/11 + 1806*i**3/11 - 545400*i**2/11 + 55620000*i/11 - 162000000/11 = 0.
3, 300
Factor -5*f**2 - 927460*f + 2782425.
-5*(f - 3)*(f + 185495)
Factor o**4/7 + 614*o**3/7 - 4331*o**2/7 + 9924*o/7 - 7452/7.
(o - 3)*(o - 2)**2*(o + 621)/7
Factor -3*d**2/8 + 369*d/8 + 891/2.
-3*(d - 132)*(d + 9)/8
Factor r**2 - 7830*r + 15327225.
(r - 3915)**2
Factor 3*s**3/5 - 7284*s**2/5.
3*s**2*(s - 2428)/5
Factor -q**3/3 + 77*q**2/3 - 189*q + 345.
-(q - 69)*(q - 5)*(q - 3)/3
Solve 5*q**5 - 625*q**4 + 6535*q**3 + 27985*q**2 - 33900*q = 0.
-4, 0, 1, 15, 113
Let 5*w**4 - 5315*w**3 - 5350*w**2 + 31920*w = 0. What is w?
-3, 0, 2, 1064
Factor -25*o**2 + 11685*o - 4670.
-5*(o - 467)*(5*o - 2)
Factor 2*k**2/13 + 2082*k/13 - 10460/13.
2*(k - 5)*(k + 1046)/13
Let -4*a**4/5 + 1908*a**3/5 + 12*a**2/5 - 5732*a/5 + 3816/5 = 0. Calculate a.
-2, 1, 477
Let o**4/2 - 703*o**3/2 - 7143*o**2/2 + 9247*o/2 + 7843 = 0. What is o?
-11, -1, 2, 713
Factor 32*m**3/5 - 52*m**2 + 256*m/5 - 28/5.
4*(m - 7)*(m - 1)*(8*m - 1)/5
Suppose 2*z**2/7 + 27320*z/7 - 27322/7 = 0. Calculate z.
-13661, 1
Let -4*v**2/9 + 6192*v + 74368 = 0. What is v?
-12, 13944
Factor 3*m**2 + 13782*m - 151965.
3*(m - 11)*(m + 4605)
Solve 5*o**5 + 20*o**4 - 660*o**3 + 2290*o**2 - 2705*o + 1050 = 0 for o.
-15, 1, 2, 7
Solve 3*y**5 + 954*y**4 + 1896*y**3 = 0 for y.
-316, -2, 0
Let -3*v**4 - 16380*v**3 + 246591*v**2 + 1182828*v + 1248300 = 0. Calculate v.
-5475, -2, 19
Find c, given that -c**2/4 + 213201*c/4 - 213199/2 = 0.
2, 213199
Determine z, given that -38*z**2/3 - 508*z - 160/3 = 0.
-40, -2/19
Suppose 4*a**5/5 + 2452*a**4/5 + 422584*a**3/5 + 2753592*a**2 - 5762700*a + 2924100 = 0. What is a?
-285, -45, 1
Factor 2*t**2 + 87446*t + 174884.
2*(t + 2)*(t + 43721)
Determine i so that -32010*i**2/7 + 64016*i/7 + 8/7 = 0.
-2/16005, 2
Let -2*b**5 + 3449*b**4 - 12051*b**3 + 6880*b**2 + 6884*b = 0. Calculate b.
-1/2, 0, 2, 1721
Factor -4*k**3 - 1561*k**2 - 152490*k - 38025.
-(k + 195)**2*(4*k + 1)
Factor 4*s**2 - 30680*s - 61376.
4*(s - 7672)*(s + 2)
Factor 2*b**3/9 + 2290*b**2/3 - 2*b/9 - 2290/3.
2*(b - 1)*(b + 1)*(b + 3435)/9
Find h, given that 3*h**2/2 + 2705673*h/4 - 676419/2 = 0.
-450946, 1/2
Factor -m**2/3 - 950*m/3 - 4368.
-(m + 14)*(m + 936)/3
What is g in -6*g**5/5 + 142*g**4 - 2324*g**3/5 + 2772*g**2/5 - 1382*g/5 + 46 = 0?
1/3, 1, 115
Find i, given that -i**2 + 736*i - 735 = 0.
1, 735
Suppose 4*g**4/5 - 1132*g**3/5 + 30692*g**2/5 - 84212*g/5 + 54648/5 = 0. Calculate g.
1, 2, 27, 253
Factor i**2/4 - 4909*i/2 + 24098281/4.
(i - 4909)**2/4
Solve -9*x**4/8 + 429*x**3/8 - 4707*x**2/8 - 6909*x/8 - 441/2 = 0 for x.
-1, -1/3, 21, 28
Factor c**4/4 - 13*c**3/4 - 113*c**2/4 + 765*c/4.
c*(c - 17)*(c - 5)*(c + 9)/4
Factor -6*f**2/11 + 1836*f/11 + 1842/11.
-6*(f - 307)*(f + 1)/11
Find k such that k**2/2 + 100941*k + 10189085481/2 = 0.
-100941
Factor 2*n**3 + 70*n**2 - 1036*n - 1104.
2*(n - 12)*(n + 1)*(n + 46)
Solve -3*s**5/2 - 807*s**4 + 3243*s**3 - 4872*s**2 + 6501*s/2 - 813 = 0 for s