-j**2 - 1390*j - 11056.
-(j + 8)*(j + 1382)
Suppose 3*n**4/2 + 1321*n**3/2 + 141615*n**2/2 - 840933*n/2 + 248645 = 0. Calculate n.
-223, 2/3, 5
Factor v**2 - 269902*v + 18211772401.
(v - 134951)**2
Suppose 3*y**5 - 663*y**4 + 2604*y**3 = 0. What is y?
0, 4, 217
Suppose 5*w**2 + 390*w + 760 = 0. Calculate w.
-76, -2
Find a, given that 2*a**3/7 - 2278*a**2/7 + 27022*a/7 + 4186 = 0.
-1, 13, 1127
Factor 15*a**3/7 - 16908*a**2 + 233492715*a/7 - 93378150/7.
3*(a - 3945)**2*(5*a - 2)/7
Factor -q**2/4 + 350*q - 228879/4.
-(q - 1211)*(q - 189)/4
Determine m, given that 4*m**3/7 + 780*m**2 + 1939872*m/7 + 51761984/7 = 0.
-668, -29
Factor r**2 + 5264*r + 5263.
(r + 1)*(r + 5263)
Suppose a**2 - 55*a + 484 = 0. What is a?
11, 44
Solve -p**4 - 22*p**3 + 344*p**2 - 618*p + 297 = 0 for p.
-33, 1, 9
Determine j so that 385*j**4/8 - 507*j**3/2 + 2053*j**2/8 - 201*j/4 - 1 = 0.
-1/55, 2/7, 1, 4
Factor -5*d**3 + 26955*d**2 - 36583320*d + 685386620.
-5*(d - 2686)**2*(d - 19)
Factor w**2/3 + 31961*w/3 - 31964.
(w - 3)*(w + 31964)/3
Factor -3*z**2/5 + 4416*z/5 - 4413/5.
-3*(z - 1471)*(z - 1)/5
What is s in -3*s**2/2 + 351*s/2 + 22815 = 0?
-78, 195
Suppose -i**3 + 1713*i**2 - 795096*i + 51522548 = 0. Calculate i.
77, 818
Factor -56*z**2/15 + 4210*z/3 + 752/5.
-2*(z - 376)*(28*z + 3)/15
Factor 5*u**2 + 445*u + 8370.
5*(u + 27)*(u + 62)
What is f in f**4/4 + 29*f**3/2 - 1461*f**2 - 31829*f/2 + 69443/4 = 0?
-107, -11, 1, 59
What is b in 2*b**4/23 - 1874894*b**3/23 + 585870001938*b**2/23 - 61024024106861706*b/23 - 122050391708730348/23 = 0?
-2, 312483
Let -a**5 - 38*a**4 + 1545*a**3 - 13550*a**2 + 9500*a + 195000 = 0. What is a?
-65, -3, 10
Factor -4*o**2/7 - 312*o/7 + 4288.
-4*(o - 56)*(o + 134)/7
Let -3*l**3/2 - 189*l**2/2 - 2673*l/2 + 9801/2 = 0. Calculate l.
-33, 3
Factor 1766*a**2/5 + 58274*a/5 - 132/5.
2*(a + 33)*(883*a - 2)/5
Suppose 2*m**5/5 - 24*m**4/5 - 62*m**3 + 2652*m**2/5 + 2704*m = 0. Calculate m.
-10, -4, 0, 13
What is q in 3*q**3 - 7056*q**2 = 0?
0, 2352
Factor 3*r**3 - 4584*r**2 - 1106241*r - 62232678.
3*(r - 1746)*(r + 109)**2
Factor 2*c**2 + 1528*c + 179510.
2*(c + 145)*(c + 619)
Let -2*o**4/19 - 420*o**3/19 - 7370*o**2/19 - 21000*o/19 + 74872/19 = 0. What is o?
-191, -14, -7, 2
Suppose 5*s**2 + 3395*s + 3390 = 0. What is s?
-678, -1
Factor u**3 - 141*u**2 - 25200*u + 3577500.
(u - 150)**2*(u + 159)
Factor -4*y**2 + 160*y + 13284.
-4*(y - 81)*(y + 41)
Factor 2*d**2 - 3616*d - 181986.
2*(d - 1857)*(d + 49)
Suppose -h**4/5 - 29208*h**3/5 + 17526*h**2 - 87632*h/5 + 29211/5 = 0. Calculate h.
-29211, 1
Factor 25*x**3 + 715*x**2 + 4920*x + 2700.
5*(x + 10)*(x + 18)*(5*x + 3)
Determine w, given that 2*w**5 - 898*w**4 + 10508*w**3 - 8716*w**2 - 10510*w + 9614 = 0.
-1, 1, 11, 437
Let -5*h**3 + 1840*h**2 - 105105*h + 1644390 = 0. What is h?
33, 302
Determine t, given that -t**2/2 - 111*t/2 - 945 = 0.
-90, -21
Find b, given that b**4/2 + 25*b**3/2 - 1131*b**2/2 + 2183*b/2 - 539 = 0.
-49, 1, 22
What is t in t**2 + 171*t + 5670 = 0?
-126, -45
What is x in -2*x**3/17 - 648*x**2/17 + 37752*x/17 - 508352/17 = 0?
-376, 26
Factor -4*v**2 - 19016*v + 190560.
-4*(v - 10)*(v + 4764)
Find q such that -4*q**3/7 + 6984*q**2/7 = 0.
0, 1746
Determine a so that 48*a**4/5 + 747*a**3 + 2994*a**2/5 - 693*a/5 = 0.
-77, -1, 0, 3/16
Let 3*y**4/2 - 243*y**3/2 + 537*y**2 + 2484*y + 1824 = 0. What is y?
-2, -1, 8, 76
Factor d**4/5 + 127*d**3/5 - 134*d**2/5 - 768*d/5.
d*(d - 3)*(d + 2)*(d + 128)/5
What is c in -2*c**5 + 480*c**4 - 30196*c**3 + 166608*c**2 - 136890*c = 0?
0, 1, 5, 117
Determine b, given that b**3 + 68*b**2 + 65*b - 134 = 0.
-67, -2, 1
Determine r, given that 2*r**2 + 2040*r + 14182 = 0.
-1013, -7
Factor 2*o**3 + 1268*o**2 - 10258*o + 8988.
2*(o - 7)*(o - 1)*(o + 642)
Factor -40*z**2 - 195*z - 230.
-5*(z + 2)*(8*z + 23)
Solve 725*p**5 + 715*p**4 - 74685*p**3 - 156295*p**2 + 1067920*p - 14700 = 0.
-7, 2/145, 3, 10
Suppose v**5/5 + 81*v**4/5 + 1103*v**3/5 + 4187*v**2/5 + 6024*v/5 + 572 = 0. Calculate v.
-65, -11, -2, -1
Factor p**4 + 127*p**3 + 105*p**2 - 2691*p - 5670.
(p - 5)*(p + 3)**2*(p + 126)
Find w, given that 3*w**4 - 246*w**3 + 3963*w**2 + 44280*w + 97200 = 0.
-4, 45
Determine b, given that -42*b**3 - 4857*b**2 - 75666*b + 27645 = 0.
-97, -19, 5/14
Factor -2*t**3/3 + 662*t**2/3 - 1318*t/3 + 658/3.
-2*(t - 329)*(t - 1)**2/3
Determine f, given that -110*f**5/3 + 104*f**4/3 + 226*f**3/3 + 4*f**2 = 0.
-1, -3/55, 0, 2
Solve 2*f**3/7 + 886*f**2/7 + 9524*f/7 + 8640/7 = 0 for f.
-432, -10, -1
Factor 42*w**2 + 1497*w - 540.
3*(w + 36)*(14*w - 5)
Suppose -j**2/6 + 12547*j/3 - 157427209/6 = 0. What is j?
12547
Factor -16*q**2/3 - 338476*q/3 + 84620/3.
-4*(q + 21155)*(4*q - 1)/3
What is f in -3*f**5 - 156*f**4 - 1719*f**3 + 462*f**2 + 4872*f - 3456 = 0?
-36, -16, -2, 1
Factor 3*n**2 - 1440*n - 47523.
3*(n - 511)*(n + 31)
Let -j**3/6 - 2000*j**2/3 - 3906413*j/6 + 94128167/3 = 0. What is j?
-2023, 46
Find y, given that -6*y**5/7 - 327*y**4/7 - 2679*y**3/7 - 4923*y**2/7 + 9909*y/7 + 26730/7 = 0.
-45, -11/2, -3, 2
Find g such that g**5/6 + 172*g**4/3 + 15271*g**3/6 + 122792*g**2/3 + 719488*g/3 + 604160/3 = 0.
-295, -16, -1
Suppose m**2 + 2147*m + 80142 = 0. Calculate m.
-2109, -38
Find x, given that -25*x**2 + 3322035*x - 1328810 = 0.
2/5, 132881
Factor 3*n**2/4 + 1272*n - 36204.
3*(n - 28)*(n + 1724)/4
Factor -c**4/2 - 32765*c**3/2 + 98307*c**2 - 196622*c + 131084.
-(c - 2)**3*(c + 32771)/2
Let 3*t**3/7 - 1473252*t**2/7 = 0. Calculate t.
0, 491084
Suppose -2*r**5 - 10*r**4 - r**3/2 + 38*r**2 + 34*r + 8 = 0. What is r?
-4, -2, -1/2, 2
Suppose 2*w**4/7 + 163370*w**3/7 + 23338*w**2 - 163370*w/7 - 163368/7 = 0. What is w?
-81684, -1, 1
Find s, given that 18*s**5/7 - 374*s**4/7 + 204*s**3 - 816*s**2/7 - 256*s/7 = 0.
-2/9, 0, 1, 4, 16
Factor 2*w**3/13 + 18*w**2/13 - 24*w/13 - 320/13.
2*(w - 4)*(w + 5)*(w + 8)/13
Factor 4*a**5 + 1972*a**4 + 5892*a**3 + 5884*a**2 + 1960*a.
4*a*(a + 1)**3*(a + 490)
Let -5*t**3 - 5925*t**2 - 99280*t = 0. Calculate t.
-1168, -17, 0
Factor 4*q**4 - 520*q**3 + 21396*q**2 - 281232*q + 664848.
4*(q - 54)**2*(q - 19)*(q - 3)
Factor d**4/5 + 4*d**3 + 128*d**2/5 + 256*d/5.
d*(d + 4)*(d + 8)**2/5
Solve -2*r**4/5 - 126*r**3/5 - 358*r**2/5 + 126*r/5 + 72 = 0.
-60, -3, -1, 1
Factor 181*c**2/10 + 6879*c/5 + 76/5.
(c + 76)*(181*c + 2)/10
Let 625*v**4 - 55750*v**3 + 1725300*v**2 - 20365640*v + 57265760 = 0. Calculate v.
4, 142/5
Solve -2*u**3/21 - 20*u**2/7 + 54912*u/7 + 2849792/3 = 0.
-176, 322
Solve -4*c**5/7 + 3852*c**4/7 - 929268*c**3/7 + 128908*c**2 + 5552664*c/7 = 0 for c.
-2, 0, 3, 481
Let 2*z**2 + 13196*z + 21766802 = 0. Calculate z.
-3299
Factor p**2/6 - 151*p/2 - 1844/3.
(p - 461)*(p + 8)/6
Find l, given that 11*l**4/7 - 370*l**3/7 + 227*l**2/7 + 132*l/7 = 0.
-4/11, 0, 1, 33
Factor 3*b**3 - 18279*b**2 + 2726424*b - 102945648.
3*(b - 5941)*(b - 76)**2
Solve 2*d**4/13 - 335276*d**3/13 + 14051920058*d**2/13 - 56203656984*d/13 + 56202315912/13 = 0.
2, 83817
Factor 5*i**2 + 560*i + 15680.
5*(i + 56)**2
Find t such that 2*t**2/5 + 206*t/5 - 10980 = 0.
-225, 122
Determine o so that -o**3 - 4184*o**2 - 4372277*o + 8761298 = 0.
-2093, 2
Find t such that 3*t**2 - 5949*t + 691548 = 0.
124, 1859
Factor c**3/9 + 12511*c**2/9 + 50023*c/9 - 20845/3.
(c - 1)*(c + 5)*(c + 12507)/9
Find i such that i**4 + 12*i**3 + 9*i**2 - 22*i = 0.
-11, -2, 0, 1
What is s in -s**3/7 - 226*s**2/7 - 12375*s/7 - 12150/7 = 0?
-135, -90, -1
Find c, given that 15*c**5 + 1565*c**4 + 14725*c**3 + 14335*c**2 - 22180*c - 8460 = 0.
-94, -9, -2, -1/3, 1
Solve d**4/4 + 24677*d**3/4 + 148035*d**2/4 + 222039*d/4 = 0 for d.
-24671, -3, 0
Determine j, given that -j**2/6 + 131*j/6 - 238 = 0.
12, 119
Factor -2*j**3 + 13526*j**2 - 202408*j - 215936.
-2*(j - 6748)*(j - 16)*(j + 1)
What is t in -7203*t**5 - 70511*t**4 - 49370*t**3 + 16350*t**2 + 2493*t + 81 = 0?
-9, -1, -3/49, 1/3
Factor -o**4/4 + 53325*o**3/4 + 159987*o**2/2 + 159991*o + 106662.
-(o - 53331)*(o + 2)**3/4
Let -3*r**2/2 - 177747*r + 355497/2 = 0. Calculate r.
-118499, 1
Factor 2*k**3 - 1666*k**2 + 346110*k + 347778.
2*(k - 417)**2*(k + 1)
What is y in 5*y**5/4 + 68*y**4 + 157*y**3 + 52*y**2 = 0?
-52, -2, -2/5, 0
Factor 2*f**2 - 1334*f - 41820.
2*(f - 697)*(f + 30)
Suppose -2*k**2 - 1236*k - 161194 = 0. What is k?
-431, -187
Find b, given that -242