)*(m - 8)*(m + 1)/8
Solve -5*l**2 + 3910*l - 554280 = 0 for l.
186, 596
Determine a so that -4*a**5 - 984*a**4 + 58092*a**3 - 744016*a**2 - 803088*a = 0.
-297, -1, 0, 26
Factor -3*v**2/7 - 792*v/7 - 771.
-3*(v + 7)*(v + 257)/7
What is t in 27*t**3 - 1722*t**2 - 48579*t - 10710 = 0?
-21, -2/9, 85
Suppose 5*t**5 - 2860*t**4 + 379265*t**3 + 8532470*t**2 + 34448480*t - 106015360 = 0. What is t?
-11, 2, 296
Factor -2*s**2 + 36*s + 1088.
-2*(s - 34)*(s + 16)
Factor a**2/8 - 16495*a/8 + 74187/4.
(a - 16486)*(a - 9)/8
Solve k**3/2 - 3925*k**2 - 86483*k/2 + 47166 = 0 for k.
-12, 1, 7861
Determine h so that 4*h**5 + 40*h**4 + 44*h**3 - 184*h**2 - 192*h = 0.
-8, -3, -1, 0, 2
What is q in 2*q**4/3 + 214*q**3 + 8708*q**2/3 + 11504*q + 39296/3 = 0?
-307, -8, -4, -2
Solve -2*l**3 - 61574*l**2 - 246270*l - 184698 = 0.
-30783, -3, -1
Solve -3*c**5/4 + 219*c**4/4 + 1197*c**3/2 + 1968*c**2 + 1992*c = 0.
-4, -2, 0, 83
What is v in 22347*v**2/4 + 703929*v - 189 = 0?
-126, 2/7449
Find w, given that -w**3/6 - 117*w**2 + 2390*w - 36100/3 = 0.
-722, 10
Factor 5*q**4 - 2854*q**3 - 571*q**2.
q**2*(q - 571)*(5*q + 1)
Suppose 5*n**2 + 1605*n - 34100 = 0. What is n?
-341, 20
Suppose -4*x**3 + 144*x**2 - 132*x - 280 = 0. What is x?
-1, 2, 35
Factor z**2/4 + 419*z/4 - 105.
(z - 1)*(z + 420)/4
Solve p**3/3 + 295*p**2 - 6611*p + 109747/3 = 0.
-907, 11
Factor -3*z**2 - 3810*z + 133008.
-3*(z - 34)*(z + 1304)
Factor m**2 - 767*m + 124422.
(m - 534)*(m - 233)
Factor 3*g**3 + 629736*g**2.
3*g**2*(g + 209912)
Suppose -a**3 - 6492*a**2 - 122987*a = 0. What is a?
-6473, -19, 0
Factor 3*m**3/2 + 112962*m**2 + 2126735574*m.
3*m*(m + 37654)**2/2
Factor -1019*s**2 + 80499*s + 158.
-(s - 79)*(1019*s + 2)
Solve -8*d**5/9 + 290*d**4/9 - 2744*d**3/9 + 6716*d**2/9 + 7504*d/9 - 2254/9 = 0.
-1, 1/4, 7, 23
What is m in -5*m**4 + 98580*m**3 - 485900820*m**2 = 0?
0, 9858
Determine z, given that 15*z**4/4 + 10257*z**3/2 - 84852*z**2 + 365280*z - 132864 = 0.
-1384, 2/5, 8
Factor -3*v**4 - 17193*v**3 + 258345*v**2 - 1292475*v + 2154750.
-3*(v - 5)**3*(v + 5746)
Suppose -15*h**4 - 650*h**3 - 6145*h**2 - 12350*h + 11160 = 0. Calculate h.
-31, -9, -4, 2/3
Factor 2*k**4/5 + 52*k**3/5 - 234*k**2/5 + 36*k.
2*k*(k - 3)*(k - 1)*(k + 30)/5
Let -f**5/5 - 348*f**4/5 - 29568*f**3/5 + 123904*f**2/5 = 0. Calculate f.
-176, 0, 4
Factor 146*l**3/11 - 1164*l**2/11 + 690*l/11 + 7400/11.
2*(l - 5)**2*(73*l + 148)/11
Let -3*x**4/5 + 5838*x**3/5 - 29136*x**2/5 + 8154*x - 17469/5 = 0. Calculate x.
1, 3, 1941
Suppose 2*k**5 - 304*k**4 + 14286*k**3 - 190208*k**2 - 204800*k = 0. Calculate k.
-1, 0, 25, 64
Solve -12*h**5 + 6063*h**4 - 72831*h**3 + 177561*h**2 - 39933*h = 0 for h.
0, 1/4, 3, 9, 493
Find j such that j**4/3 + 377*j**3/3 + 4751*j**2/3 + 6883*j/3 - 4004 = 0.
-364, -11, -3, 1
Factor 4*f**4 - 28*f**3 + 4*f**2 + 108*f + 72.
4*(f - 6)*(f - 3)*(f + 1)**2
Factor -2*c**3/13 - 632*c**2/13 - 50554*c/13 - 98596/13.
-2*(c + 2)*(c + 157)**2/13
Suppose z**5/3 + 164*z**4/3 - 168*z**3 - 490*z**2/3 + 1831*z/3 - 334 = 0. What is z?
-167, -2, 1, 3
Let -4*w**4 - 3912*w**3 - 140560*w**2 - 1214328*w + 1358804 = 0. Calculate w.
-941, -19, 1
Solve 24*y**5/11 - 4646*y**4/11 + 219172*y**3/11 + 548418*y**2/11 + 420616*y/11 + 96040/11 = 0.
-1, -5/12, 98
Factor -2*s**2 - 114294*s - 114292.
-2*(s + 1)*(s + 57146)
Factor -u**2/8 - 124943*u/4 - 15610753249/8.
-(u + 124943)**2/8
Factor -p**3/4 - 27*p**2 - 2841*p/4 + 1475/2.
-(p - 1)*(p + 50)*(p + 59)/4
What is v in -2*v**2/7 + 483142*v/7 - 1449408/7 = 0?
3, 241568
Let -3*y**4/5 - 4931*y**3/5 - 22939*y**2/5 + 11483*y/5 + 3278 = 0. What is y?
-1639, -5, -2/3, 1
Let -4*a**2 + 19264*a + 212388 = 0. What is a?
-11, 4827
Factor 4*v**2 + 728*v + 4900.
4*(v + 7)*(v + 175)
Suppose 2*w**2 + 536120*w + 35928081800 = 0. Calculate w.
-134030
Solve x**2/6 + 29*x/3 - 4343/6 = 0.
-101, 43
Factor -4*q**3 + 364*q**2 - 7708*q - 26508.
-4*(q - 47)**2*(q + 3)
Factor v**3 - 99*v**2 - 412*v.
v*(v - 103)*(v + 4)
Find s, given that 3*s**2/4 + 186*s - 3795/4 = 0.
-253, 5
Let 4*u**2 + 1284*u - 15984 = 0. What is u?
-333, 12
Factor -2*y**2/11 + 710*y/11 - 57912/11.
-2*(y - 228)*(y - 127)/11
Factor -2*f**5/13 - 40*f**4/13 + 600*f**3/13.
-2*f**3*(f - 10)*(f + 30)/13
Factor -m**3 - 26314*m**2 - 173080332*m + 346265928.
-(m - 2)*(m + 13158)**2
Solve -4*w**3 + 47032*w**2 - 138250564*w = 0 for w.
0, 5879
Determine t, given that -1250*t**5/3 + 19600*t**4/3 - 91532*t**3/3 + 38416*t**2 - 14406*t = 0.
0, 21/25, 7
Factor -i**3/4 - 59*i**2 - 465*i/4 + 351/2.
-(i - 1)*(i + 3)*(i + 234)/4
Suppose -h**2 - 1041*h + 16912 = 0. Calculate h.
-1057, 16
Find k such that 3*k**3/5 - 534*k**2 + 2667*k/5 = 0.
0, 1, 889
Factor d**3/5 + 11595*d**2 + 57974*d/5.
d*(d + 1)*(d + 57974)/5
Factor 14*z**2 + 1062590*z + 303596.
2*(z + 75899)*(7*z + 2)
Factor 2*x**3/5 - 764*x**2 + 60736*x/5 - 242432/5.
2*(x - 1894)*(x - 8)**2/5
Let -2*l**2 - 1338*l - 28468 = 0. What is l?
-647, -22
Suppose -2*q**4 - 48*q**3 + 432*q**2 + 15552*q + 69984 = 0. What is q?
-18, -6, 18
Suppose -4*n**5 - 6644*n**4 - 2827756*n**3 - 57130556*n**2 - 265476640*n + 325441600 = 0. What is n?
-820, -11, 1
Find j, given that 22*j**4/3 + 910*j**3/3 - 4048*j**2 + 9480*j + 13824 = 0.
-576/11, -1, 6
Factor 3*r**5 + 75*r**4 - 402*r**3 - 1626*r**2 - 1761*r - 609.
3*(r - 7)*(r + 1)**3*(r + 29)
What is x in -3*x**3 + 222*x**2 - 3024*x = 0?
0, 18, 56
Factor a**3/9 - 3277*a**2/3 + 10915*a - 245525/9.
(a - 9821)*(a - 5)**2/9
Factor -8*l**2/9 - 4615*l/9 + 577/9.
-(l + 577)*(8*l - 1)/9
Factor 4*y**3 + 1440*y**2 + 129600*y.
4*y*(y + 180)**2
Solve -162*f**4 - 199188*f**3 - 309320*f**2 + 166992*f - 19648 = 0.
-1228, -2, 2/9
Factor 25*j**2 + 2195*j + 47760.
5*(j + 48)*(5*j + 199)
Suppose y**5/4 + 429*y**4 + 968321*y**3/4 + 113356585*y**2/2 + 4788497319*y + 4732060678 = 0. What is y?
-881, -278, -1
Factor 4*j**2 + 930008*j + 54057180004.
4*(j + 116251)**2
Factor -3*d**3/2 + 3771*d**2 - 2373840*d + 4732608.
-3*(d - 1256)**2*(d - 2)/2
Factor 57*x**2/7 + 576*x + 17820/7.
3*(x + 66)*(19*x + 90)/7
Factor -x**4 - 153*x**3 - 6220*x**2 - 27972*x - 21904.
-(x + 1)*(x + 4)*(x + 74)**2
Factor 76*m**2 + 86340*m + 4544.
4*(m + 1136)*(19*m + 1)
Factor t**2 + 22088*t + 22087.
(t + 1)*(t + 22087)
Factor -4*x**3/3 - 2932*x**2/3 + 3016*x/3 + 58720/3.
-4*(x - 5)*(x + 4)*(x + 734)/3
Solve 2*a**4/7 + 460*a**3 - 29112*a**2/7 + 48620*a/7 + 80950/7 = 0.
-1619, -1, 5
Determine w so that w**4 - 289*w**3/3 - 607*w**2 + 2967*w - 918 = 0.
-9, 1/3, 3, 102
Let -4*o**3 + 67296*o**2 + 4*o - 67296 = 0. What is o?
-1, 1, 16824
Factor y**3/7 + 93*y**2 - 4636*y/7 - 2820.
(y - 10)*(y + 3)*(y + 658)/7
Solve -2*b**2/15 + 1964*b/15 + 55120 = 0.
-318, 1300
Factor 3*l**2/2 - 134901*l/2 - 67452.
3*(l - 44968)*(l + 1)/2
What is y in -y**3/2 + 21281*y**2 - 452880961*y/2 = 0?
0, 21281
Determine s, given that 10*s**4 - 852115*s**3 + 24203190420*s**2 - 229147739024400*s - 114579920416320 = 0.
-1/2, 28404
Factor 705600*n**3 + 5648160*n**2 + 26884*n + 32.
4*(n + 8)*(420*n + 1)**2
Factor -3*l**2 + 59298*l + 830760.
-3*(l - 19780)*(l + 14)
Find k, given that -8*k**4 - 150*k**3 - 90*k**2 + 320*k - 72 = 0.
-18, -2, 1/4, 1
Suppose j**5/11 + 102*j**4/11 + 59*j**3/11 - 4242*j**2/11 = 0. What is j?
-101, -7, 0, 6
Factor 5*w**4 - 965*w**3 + 55230*w**2 - 809260*w + 1405240.
5*(w - 86)**2*(w - 19)*(w - 2)
Find l, given that l**4 + 53*l**3 - 5493*l**2 + 101979*l - 323676 = 0.
-111, 4, 27
Find u, given that -u**4/4 - 343*u**3/4 - 681*u**2/4 + 343*u/4 + 341/2 = 0.
-341, -2, -1, 1
Determine n so that -14*n**5 + 78*n**4 + 3092*n**3 + 1404*n**2 - 60966*n - 121770 = 0.
-11, -3, 5, 123/7
Determine o so that -3*o**2/4 + 8598*o + 792603/4 = 0.
-23, 11487
Determine s, given that s**4/4 - 73*s**3/4 + 400*s**2 - 2304*s = 0.
0, 9, 32
Factor -p**4 - 499063*p**3/5 - 16604191989*p**2/5 - 184141596050909*p/5 + 73659295123022/5.
-(p + 33271)**3*(5*p - 2)/5
Factor -b**2/2 - 207*b/2 - 4030.
-(b + 52)*(b + 155)/2
What is w in -w**2/9 + 391*w/9 + 262/3 = 0?
-2, 393
Solve -4*t**3 - 1860*t**2 - 7196*t + 82980 = 0.
-461, -9, 5
Factor 5*w**3 + 555*w**2 - 17685*w + 17125.
5*(w - 25)*(w - 1)*(w + 137)
What is l in -l**2/4 + 165*l/2 - 26441/4 = 0?
137, 193
Determine q so that -q**3 - 119*q**2 + 7216*q - 26896 = 0.
-164, 4, 41
What is j in -2*j**5/3 - 5816*j**4/3 - 5713208*j**3/3 - 1967226208*