 -1
Factor -3*q**2 - 73854*q + 73857.
-3*(q - 1)*(q + 24619)
Let -k**4/4 + 2135*k**3/4 - 8483*k**2 + 14833*k = 0. Calculate k.
0, 2, 14, 2119
Factor 4*h**4 + 2856*h**3 + 11376*h**2 + 11360*h.
4*h*(h + 2)**2*(h + 710)
Suppose -729*a**4 + 449847*a**3 - 33319*a**2 + 617*a = 0. Calculate a.
0, 1/27, 617
Solve 21*o**5/4 - 1749*o**4/4 + 21123*o**3/2 - 60837*o**2 + 107502*o - 25992 = 0 for o.
2/7, 3, 4, 38
Suppose 110*p**5 - 12*p**4 - 784*p**3 + 288*p**2 + 1376*p - 960 = 0. Calculate p.
-2, 10/11, 6/5, 2
Suppose -41*h**2/6 - 15991*h/3 - 260 = 0. What is h?
-780, -2/41
Factor 5*p**2 - 39995*p - 160060.
5*(p - 8003)*(p + 4)
Let 129*c**3 - 436023*c**2 + 368447040*c - 8568300 = 0. Calculate c.
1/43, 1690
Find z such that -7*z**5/2 - 192*z**4 - 1929*z**3 + 2432*z**2 - 615*z/2 = 0.
-41, -15, 0, 1/7, 1
Factor -a**3/3 + 90*a**2 - 5396*a - 282296/3.
-(a - 142)**2*(a + 14)/3
Determine l so that -32*l**4/3 + 9136*l**3/3 - 31714*l**2/3 + 36710*l/3 - 4700 = 0.
1, 5/4, 282
Determine b, given that -16*b**4/3 - 3292*b**3/3 - 32168*b**2 + 124972*b/3 - 25160/3 = 0.
-170, -37, 1/4, 1
Solve -15*s**4/8 + 17547*s**3/4 - 3420495*s**2 + 888416100*s + 355914000 = 0 for s.
-2/5, 780
Suppose -2*w**4/7 - 7578*w**3/7 - 560850*w**2/7 - 13958750*w/7 - 116062500/7 = 0. Calculate w.
-3714, -25
What is y in y**4/2 - 108373*y**3 + 11745140613*y**2/2 - 23488980766*y + 23488547282 = 0?
2, 108371
Find w such that -3*w**2 - 489*w - 2826 = 0.
-157, -6
Let -549242481780*o**2 + 3314340*o - 5 = 0. What is o?
1/331434
Solve 42849*p**4 + 942885*p**3/2 - 79107*p**2 - 5770*p - 268/3 = 0 for p.
-67/6, -2/69, 2/9
Suppose -2*t**2 + 11558*t - 11556 = 0. What is t?
1, 5778
Let r**4/2 - 2197*r**3 + 4831201*r**2/2 - 4824612*r + 2411208 = 0. Calculate r.
1, 2196
Let -2*y**5/5 + 4162*y**4/5 - 442404*y**3 + 48028068*y**2/5 + 348343254*y/5 + 552715002/5 = 0. What is y?
-3, 29, 1029
Factor -v**2/3 + 1360672*v/3 - 462857072896/3.
-(v - 680336)**2/3
Factor 2*m**2 + 96200*m + 96198.
2*(m + 1)*(m + 48099)
What is a in -3*a**4/5 - 141*a**3/5 - 1701*a**2/5 - 2991*a/5 - 1428/5 = 0?
-28, -17, -1
Determine w so that 2*w**3 - 158*w**2 - 2*w + 158 = 0.
-1, 1, 79
Solve -2*n**4 + 354*n**3 - 19026*n**2 + 285670*n - 498036 = 0.
2, 21, 77
Factor 4*y**3 + 807*y**2 + 40602*y - 10201.
(y + 101)**2*(4*y - 1)
Suppose -3*t**2 - 180*t - 348 = 0. What is t?
-58, -2
Factor -5*a**3 + 21530*a**2 - 23327020*a + 322372120.
-5*(a - 2146)**2*(a - 14)
Factor z**2/4 + 71*z/4 - 2013.
(z - 61)*(z + 132)/4
Determine r, given that 605*r**4/7 + 697279*r**3/7 + 367480*r**2/7 - 9232*r/7 - 18432/7 = 0.
-1152, -4/11, 1/5
Let 3*n**3 + 1029477*n**2 + 2058945*n + 1029471 = 0. What is n?
-343157, -1
Determine m, given that -5*m**2 - 9725*m + 19470 = 0.
-1947, 2
Suppose -2*x**5 + 36*x**4 + 1778*x**3 + 4684*x**2 - 10176*x - 13120 = 0. What is x?
-20, -4, -1, 2, 41
Suppose 2*n**3/3 + 718160*n**2/3 + 2872616*n/3 + 957536 = 0. Calculate n.
-359076, -2
Let 3*v**4/4 + 861*v**3/4 + 8709*v**2 - 8925*v = 0. What is v?
-238, -50, 0, 1
Suppose 5*k**4 - 8225*k**3 + 73695*k**2 - 122575*k - 204500 = 0. What is k?
-1, 5, 1636
Suppose -4*i**2 + 1668*i - 24120 = 0. What is i?
15, 402
Find w, given that -132*w**4 - 545733*w**3/2 - 376072047*w**2/2 - 86413938351*w/2 - 14718724605/2 = 0.
-689, -15/88
Find h, given that -4*h**2 + 28740*h - 28736 = 0.
1, 7184
Solve -3*d**4/8 + 17535*d**3/4 - 17080551*d**2 + 88704983169*d/4 + 177546645819/8 = 0.
-1, 3897
Determine i so that -2*i**3 - 1162*i**2 - 5760*i = 0.
-576, -5, 0
Determine n, given that -n**2 + 2491*n + 22500 = 0.
-9, 2500
Determine a so that a**4 - 4*a**3 - 741*a**2 - 2884*a - 2852 = 0.
-23, -2, 31
Let 3*r**5 - 18276*r**4 + 27943713*r**3 - 332898240*r**2 + 304972800*r = 0. Calculate r.
0, 1, 11, 3040
Factor -3*x**2 - 281742*x + 281745.
-3*(x - 1)*(x + 93915)
Determine x, given that -1925*x**4 + 27770*x**3 + 50100*x**2 - 25960*x + 640 = 0.
-2, 2/77, 2/5, 16
Solve -79507*x**5/5 + 7967341*x**4/5 + 22902402*x**3/5 - 5025942*x**2/5 + 356049*x/5 - 8343/5 = 0 for x.
-3, 3/43, 103
Factor 306*w**2 + 217570*w/9 + 316/9.
2*(w + 79)*(1377*w + 2)/9
Find k such that -k**4/2 - 154*k**3 + 8213*k**2/2 - 18942*k - 97902 = 0.
-333, -3, 14
Find f, given that -4*f**2 + 584*f - 8772 = 0.
17, 129
Factor 2*s**4 - 268*s**3 + 11730*s**2 - 166464*s.
2*s*(s - 51)**2*(s - 32)
Determine f so that -2*f**3/9 + 32*f**2/3 + 34*f/3 - 196/9 = 0.
-2, 1, 49
Factor u**2 - 3542*u + 3136441.
(u - 1771)**2
Find g, given that -g**2 + 6289*g/3 + 1398 = 0.
-2/3, 2097
Suppose 3*j**5 + 18*j**4 - 1047*j**3 + 3678*j**2 + 18540*j + 13800 = 0. What is j?
-23, -2, -1, 10
Suppose 2*r**3 + 2180*r**2 - 6566*r - 8744 = 0. What is r?
-1093, -1, 4
Solve 676*s**5 - 14490528*s**4 + 77651395552*s**3 + 23893766016*s**2 + 1838008384*s = 0.
-2/13, 0, 10718
Factor -u**2/2 - 12232*u - 74810912.
-(u + 12232)**2/2
Factor -j**3/7 - 32463*j**2/7 - 37639689*j - 263445361/7.
-(j + 1)*(j + 16231)**2/7
Factor -4*f**5 - 3288*f**4 - 263520*f**3.
-4*f**3*(f + 90)*(f + 732)
Factor r**2/2 + 157*r/2 + 1065.
(r + 15)*(r + 142)/2
Solve 9*m**5 - 1932*m**4 + 131505*m**3 - 2793870*m**2 + 4383456*m - 1719168 = 0.
2/3, 1, 37, 88
Factor h**3 + 2514*h**2 - 216468*h + 4582872.
(h - 42)**2*(h + 2598)
Factor -2*w**3/15 - 2406*w**2/5 - 14428*w/15.
-2*w*(w + 2)*(w + 3607)/15
Find w such that -5*w**3 + 1720*w**2 - 21445*w - 23170 = 0.
-1, 14, 331
Find b, given that 3*b**2 + 187185*b + 561528 = 0.
-62392, -3
Suppose -k**2 + 27529*k + 27530 = 0. What is k?
-1, 27530
What is n in -8*n**3 - 9876*n**2 + 104624*n + 54780 = 0?
-1245, -1/2, 11
Factor 3*z**3 - 5409*z**2 + 32373*z - 48519.
3*(z - 1797)*(z - 3)**2
Factor -s**3/4 - 257*s**2/4 + 617*s/4 + 25641/4.
-(s - 11)*(s + 9)*(s + 259)/4
Factor 3*k**3/8 - 171*k**2/4 + 8529*k/8 - 4095/4.
3*(k - 78)*(k - 35)*(k - 1)/8
Determine f, given that -4*f**4 - 1484*f**3 + 9112*f**2 + 24128*f = 0.
-377, -2, 0, 8
Factor -118*x**3 + 1412*x**2 + 5358*x + 180.
-2*(x - 15)*(x + 3)*(59*x + 2)
Solve -3*v**5 - 56*v**4 - 296*v**3 - 366*v**2 - 53*v + 70 = 0.
-10, -7, -1, 1/3
Factor 3*f**3/8 + 329229*f**2/8 - 658467*f/8 + 329235/8.
3*(f - 1)**2*(f + 109745)/8
Factor n**2/8 - 118957*n/4 + 14150767849/8.
(n - 118957)**2/8
Determine p, given that 4*p**3/19 - 9442*p**2/19 - 4724*p/19 + 4722/19 = 0.
-1, 1/2, 2361
Determine q so that -q**3/7 + 569*q**2/7 + 1744*q/7 - 2288 = 0.
-7, 4, 572
Determine w, given that 2*w**5/15 + 740*w**4/3 + 1714942*w**3/15 + 3411404*w**2/15 - 571648*w/5 - 1138368/5 = 0.
-924, -2, -1, 1
Determine h, given that 7*h**4/6 + 79*h**3 - 2073*h**2/2 + 869*h/3 = 0.
-79, 0, 2/7, 11
Find c, given that c**4/6 + 61*c**3/6 - 63*c**2/2 + 191*c/6 - 32/3 = 0.
-64, 1
Factor 393*u**2 + 69948*u - 1068.
3*(u + 178)*(131*u - 2)
Solve 5*z**2 + 2815*z - 197190 = 0.
-626, 63
Solve -20*d**3 - 65528*d**2 - 53687088*d - 21464352 = 0 for d.
-1638, -2/5
Suppose -55*y**5 - 1260*y**4 - 10240*y**3 - 34560*y**2 - 40960*y = 0. What is y?
-8, -4, -32/11, 0
Factor -v**2/2 - 440879*v + 881759/2.
-(v - 1)*(v + 881759)/2
Let -k**5 - 5*k**4 + 677*k**3 + 4105*k**2 - 62776*k + 144400 = 0. What is k?
-19, 4, 25
Factor -2*l**4 + 128*l**3 + 2088*l**2 + 7488*l.
-2*l*(l - 78)*(l + 6)*(l + 8)
Factor -v**3/3 + 2079*v**2 - 3242720*v + 9721924/3.
-(v - 3118)**2*(v - 1)/3
Solve 106*x**5 + 1697*x**4/4 - 529*x**3 - 5*x**2/4 = 0.
-5, -1/424, 0, 1
Factor 3*r**3/5 - 156*r**2/5 - 1017*r/5 - 1566/5.
3*(r - 58)*(r + 3)**2/5
Find w such that 2*w**3 + 302*w**2/5 - 9292*w/5 + 6080 = 0.
-50, 19/5, 16
Determine a, given that -a**2/3 - 15800*a/3 - 10532 = 0.
-15798, -2
Factor -4*f**2/3 + 35712*f - 239127552.
-4*(f - 13392)**2/3
Factor k**2/3 + 1832*k/3 + 138487/3.
(k + 79)*(k + 1753)/3
Find l such that 81*l**4/5 + 1767942*l**3/5 + 9647364829*l**2/5 + 4287455788*l/5 + 476374276/5 = 0.
-10913, -2/9
Factor 4*i**2 + 264488*i + 793428.
4*(i + 3)*(i + 66119)
Factor 4*m**3 - 75852*m**2 - 151752*m + 606880.
4*(m - 18965)*(m - 2)*(m + 4)
Factor 3*t**2 - 2355*t + 2352.
3*(t - 784)*(t - 1)
Find f such that 2*f**4/9 - 710*f**3/9 - 7526*f**2/9 + 82694*f/9 - 24820/3 = 0.
-17, 1, 6, 365
Factor 14*h**3/3 - 188308*h**2 + 1899610752*h + 1628283904/3.
2*(h - 20176)**2*(7*h + 2)/3
Determine y so that -5*y**3 - 765*y**2 + 4805*y + 5565 = 0.
-159, -1, 7
What is c in 5*c**4 - 17170*c**3 - 379955*c**2 - 708380*c - 345600 = 0?
-20, -1, 3456
Determine m so