8
Factor -k**2 + 51300*k - 657922500.
-(k - 25650)**2
Factor 11135*f**3 + 553*f**2 - 6*f.
f*(17*f + 1)*(655*f - 6)
Factor 64*t**3/7 - 397*t**2/7 - 152*t/7 + 1380/7.
(t - 6)*(t - 2)*(64*t + 115)/7
Factor -5*c**4/2 - 8070*c**3 - 24195*c**2 - 24190*c - 16125/2.
-5*(c + 1)**3*(c + 3225)/2
Solve -238*w**4 + 1662*w**3 - 2594*w**2 + 1170*w = 0 for w.
0, 117/119, 1, 5
Determine d, given that -d**2/4 + 670*d - 13375/4 = 0.
5, 2675
Suppose k**4 - 7*k**3 - 124*k**2 + 628*k + 1680 = 0. What is k?
-10, -2, 7, 12
Determine l, given that -10*l**4 - 29236*l**3 + 128816*l**2 - 46848*l = 0.
-2928, 0, 2/5, 4
Suppose -i**2/6 + 1037*i/6 - 53015/3 = 0. Calculate i.
115, 922
Factor -4*g**3 - 240*g**2 + 22636*g + 69960.
-4*(g - 53)*(g + 3)*(g + 110)
Let -3*w**4 + 369*w**3 - 9927*w**2 + 32271*w + 42570 = 0. What is w?
-1, 5, 33, 86
Factor 2*w**2/7 - 35908*w/7 + 161173058/7.
2*(w - 8977)**2/7
Factor 2*t**4 - 822*t**3 + 10348*t**2.
2*t**2*(t - 398)*(t - 13)
Let -x**5 - 693*x**4/5 + 11063*x**3/5 + 7161*x**2/5 - 918*x = 0. What is x?
-153, -1, 0, 2/5, 15
Factor -2*t**2/11 - 1192804*t/11 - 177847672802/11.
-2*(t + 298201)**2/11
Factor -a**3/4 - 153*a**2/4 - 75*a/2 + 76.
-(a - 1)*(a + 2)*(a + 152)/4
Factor -2*q**3 - 546*q**2 - 3222*q - 4806.
-2*(q + 3)**2*(q + 267)
Determine i, given that i**5 - 283*i**4 + 1122*i**3 - 1678*i**2 + 1117*i - 279 = 0.
1, 279
Find g, given that 4*g**3/7 - 1080*g**2/7 + 1500*g - 26000/7 = 0.
5, 260
Solve 3*n**2 + 2190*n + 297000 = 0 for n.
-550, -180
Factor 10*z**3 + 95*z**2 - 90*z - 1800.
5*(z - 4)*(z + 6)*(2*z + 15)
Factor 2*i**4/13 - 2792*i**3/13 - 736596*i**2/13 - 60163240*i/13 - 1610265374/13.
2*(i - 1633)*(i + 79)**3/13
Determine h so that 34*h**5/11 + 2444*h**4/11 - 8550*h**3/11 - 44928*h**2/11 + 5400*h/11 = 0.
-75, -3, 0, 2/17, 6
Solve -36*j**2/7 - 31552*j/7 - 76912/7 = 0.
-874, -22/9
Factor h**4 + 231*h**3 - 3461*h**2 - 7611*h - 3920.
(h - 16)*(h + 1)**2*(h + 245)
Factor -2*t**2/7 + 216*t/7 + 1368/7.
-2*(t - 114)*(t + 6)/7
Factor 5*j**4 + 17240*j**3 + 17235*j**2.
5*j**2*(j + 1)*(j + 3447)
Factor 5*x**2/6 + 793*x/6 - 1169.
(x + 167)*(5*x - 42)/6
Factor 6*x**2 - 5332*x - 7120.
2*(x - 890)*(3*x + 4)
Factor -x**3 + 875*x**2 - 245912*x + 22445488.
-(x - 403)*(x - 236)**2
Find x, given that 4*x**4/5 - 244*x**3 - 258624*x**2/5 + 16108288*x - 16056320 = 0.
-256, 1, 280
Find f, given that -3*f**2/5 - 471843*f/5 - 943674/5 = 0.
-157279, -2
Solve 3*i**5/7 + 220*i**4/7 + 701*i**3/7 + 64*i**2/7 - 60*i = 0 for i.
-70, -3, -1, 0, 2/3
Solve -i**4/3 - 25*i**3/3 + 21*i**2 + 579*i + 1350 = 0.
-25, -6, -3, 9
Determine p so that -p**2 + 14496*p/11 - 55188/11 = 0.
42/11, 1314
Let 2*k**4/17 - 484*k**3/17 + 1392*k**2 - 201340*k/17 + 474350/17 = 0. What is k?
5, 53, 179
Factor 2*t**4 + 29014*t**3 + 140263326*t**2 + 225776890850*t - 905353634024.
2*(t - 4)*(t + 4837)**3
Find b such that b**5/2 - 151*b**4/2 - 463*b**3/2 + 151*b**2/2 + 231*b = 0.
-3, -1, 0, 1, 154
Factor -3*k**3 + 729*k**2 - 40005*k + 635775.
-3*(k - 173)*(k - 35)**2
What is t in 3*t**4 - 4638*t**3 + 1543419*t**2 - 148073952*t + 146535168 = 0?
1, 208, 1129
Factor 4*i**2 + 7272*i + 608960.
4*(i + 88)*(i + 1730)
Let -r**4 - 25*r**3 + 2233*r**2 + 2257*r = 0. Calculate r.
-61, -1, 0, 37
Factor n**2 - 25995*n - 25996.
(n - 25996)*(n + 1)
Suppose 3*d**2 - 4695*d - 217350 = 0. What is d?
-45, 1610
Let 3*m**3 + 350*m**2 + 4473*m - 1530 = 0. What is m?
-102, -15, 1/3
Let -30*u**5 - 215*u**4 - 275*u**3 + 440*u**2 + 80*u = 0. Calculate u.
-4, -1/6, 0, 1
Solve 2*r**2 + 218888*r + 5988994568 = 0.
-54722
Factor -99640324*y**3 + 199160864*y**2 + 239532*y + 72.
-4*(y - 2)*(4991*y + 3)**2
Factor h**3 + 651*h**2 + 102279*h - 1205171.
(h - 11)*(h + 331)**2
Solve -19*m**4/2 + 33*m**3/2 + 29*m**2/2 - 33*m/2 - 5 = 0.
-1, -5/19, 1, 2
Suppose -10*m**4 + 1042*m**3 + 862*m**2 - 2314*m + 420 = 0. Calculate m.
-2, 1/5, 1, 105
Determine a so that -a**2/5 - 2998*a - 254541/5 = 0.
-14973, -17
Factor 44*i**2 - 380*i - 600.
4*(i - 10)*(11*i + 15)
Suppose -25*x**5/4 - 145105*x**4/4 + 493873*x**3/2 - 180135*x**2 + 34866*x = 0. Calculate x.
-5811, 0, 2/5, 6
Factor -n**3/3 - 761*n**2/3 - 23408*n + 10466112.
-(n - 151)*(n + 456)**2/3
Factor 4*z**3/5 - 1736*z**2/5 + 47344*z - 2071520.
4*(z - 214)*(z - 110)**2/5
Factor -4*p**2/3 - 8170480*p/3 - 4172296464400/3.
-4*(p + 1021310)**2/3
Suppose -3*m**5/2 - 39*m**4 - 252*m**3 + 384*m**2 + 5376*m = 0. Calculate m.
-14, -8, 0, 4
Factor 3*p**2 - 108204*p.
3*p*(p - 36068)
Factor 5*q**2 - 2110*q + 188160.
5*(q - 294)*(q - 128)
Determine n, given that n**2 + 2139*n + 283574 = 0.
-1997, -142
Factor 4*o**3 - 167240*o**2 + 1749580288*o - 31438282752.
4*(o - 20896)**2*(o - 18)
Factor -2*l**2/11 - 234*l/11 + 8468/11.
-2*(l - 29)*(l + 146)/11
Determine c so that c**2 + 1677*c + 6692 = 0.
-1673, -4
Find b such that 3*b**2 - 41130*b - 41133 = 0.
-1, 13711
Factor 3*c**2/4 + 14235*c/2 + 28467/4.
3*(c + 1)*(c + 9489)/4
Factor -b**4 - 105*b**3 - 206*b**2.
-b**2*(b + 2)*(b + 103)
Find n, given that 3*n**3 - 3333*n**2 + 934017*n - 4587135 = 0.
5, 553
Factor r**4 + 93*r**3 - 2979*r**2 - 20277*r - 31590.
(r - 30)*(r + 3)**2*(r + 117)
Determine j, given that -4*j**5 + 212*j**4 + 900*j**3 + 700*j**2 - 896*j - 912 = 0.
-2, -1, 1, 57
Let 3*r**4/4 - 285*r**3/4 - 1755*r**2/2 + 285*r + 3498 = 0. What is r?
-11, -2, 2, 106
Determine b so that -2*b**3 - 2628*b**2 - 51960*b - 258800 = 0.
-1294, -10
Let 12050*h**2 - 1064*h + 8 = 0. Calculate h.
2/241, 2/25
Factor -2*v**3/3 - 4770*v**2 + 19088*v - 57272/3.
-2*(v - 2)**2*(v + 7159)/3
Determine k so that -2*k**2/11 + 2153548*k/11 - 579721123538/11 = 0.
538387
Let z**3/3 + 313*z**2/2 + 1166*z/3 - 467/2 = 0. What is z?
-467, -3, 1/2
Find v, given that -5*v**3 + 400*v**2 - 395*v = 0.
0, 1, 79
What is l in -3*l**3/4 + 8601*l**2/2 - 869499*l/4 = 0?
0, 51, 5683
Factor -4*i**3 + 300*i**2 + 7072*i + 6768.
-4*(i - 94)*(i + 1)*(i + 18)
Factor -4*y**2/7 + 716*y/7 + 1080.
-4*(y - 189)*(y + 10)/7
Suppose -h**2 + 6872*h - 6871 = 0. What is h?
1, 6871
Factor -5*r**2/6 - 1308940*r/3 - 171332392360/3.
-5*(r + 261788)**2/6
Determine g, given that -2*g**4 - 9532*g**3 - 11480618*g**2 - 293680920*g - 1898512200 = 0.
-2370, -13
Find k such that -5*k**3 - 6995*k**2 - 2407575*k + 27336375 = 0.
-705, 11
Factor q**3 + 656954*q**2 + 107897139529*q.
q*(q + 328477)**2
Solve -3*m**4 - 138*m**3 - 93*m**2 + 1962*m + 3240 = 0.
-45, -3, -2, 4
Let -4*x**2 + 23828*x - 71448 = 0. Calculate x.
3, 5954
Determine z so that -172*z**4/7 - 3116*z**3/7 - 15000*z**2/7 - 14464*z/7 + 26752/7 = 0.
-11, -4, 38/43
Solve -2*g**3 - 12*g**2 + 314*g + 660 = 0 for g.
-15, -2, 11
Solve -5*f**5 + 90*f**4 + 2250*f**3 + 14780*f**2 + 39675*f + 38250 = 0 for f.
-5, -3, 34
Find t, given that -8*t**2/5 + 60314*t/5 + 286672/5 = 0.
-19/4, 7544
Solve 3*i**5 + 279*i**4 + 975*i**3 - 8235*i**2 + 3882*i + 12816 = 0.
-89, -8, -1, 2, 3
Factor 3*o**5/8 - 27*o**4/4 + 135*o**3/8.
3*o**3*(o - 15)*(o - 3)/8
Suppose -2*p**5 + 96*p**4 + 1812*p**3 + 4840*p**2 + 4638*p + 1512 = 0. What is p?
-12, -1, 63
Factor 4*d**3 - 8076*d**2 + 4080396*d - 4072324.
4*(d - 1009)**2*(d - 1)
Factor 4*n**2 - 70152*n + 307581444.
4*(n - 8769)**2
Let 5*w**3 + 34145*w**2 - 3219200*w - 3253340 = 0. What is w?
-6922, -1, 94
Determine f, given that -81*f**5/4 - 75*f**4/4 + 4137*f**3/4 + 3663*f**2/4 - 2058*f + 147 = 0.
-7, -2, 2/27, 1, 7
Factor 2*d**2/5 - 12212*d/5 + 18641618/5.
2*(d - 3053)**2/5
Suppose 52*j**4/7 + 17000*j**3/7 - 267340*j**2/7 + 269440*j/7 - 2736 = 0. What is j?
-342, 1/13, 1, 14
What is m in 4*m**4 + 436*m**3 + 8960*m**2 + 8528*m = 0?
-82, -26, -1, 0
What is t in 2*t**5/3 + 834*t**4 - 48100*t**3/3 + 67800*t**2 + 254000*t/3 = 0?
-1270, -1, 0, 10
Solve p**2/3 - 11729*p/3 + 222490/3 = 0 for p.
19, 11710
Solve -88*t**5 + 708*t**4 + 56*t**3 - 708*t**2 + 32*t = 0 for t.
-1, 0, 1/22, 1, 8
Determine w so that -5*w**2 + 7020*w - 286020 = 0.
42, 1362
Factor -2*v**3/21 - 1688*v**2/7 + 338770*v/7 - 49132100/21.
-2*(v - 95)**2*(v + 2722)/21
Determine x, given that -7*x**4/4 - 4770*x**3 + 24681*x**2/4 + 188143*x/2 - 27270 = 0.
-2727, -4, 2/7, 5
Suppose 4*w**5 - 127*w**4 - 476*w**3 + 13657*w**2 + 17522*w + 3520 = 0. Calculate w.
-10, -1, -1/4, 11, 32
Find f such that -2207296875*f**2 - 325500*f - 12 = 0.
-2/27125
Solve 5*a**3 + 395*a**2 - 1250*a - 1640 = 0.
-82, -1, 4
Find