 - 106*h**2 - 1926*h - 1152 = 0 for h.
-192, -2, -2/3, 3
Determine t, given that 10*t**5 + 1045*t**4 - 28260*t**3 + 40010*t**2 + 530*t - 13335 = 0.
-127, -1/2, 1, 21
What is j in 2*j**4/5 - 376*j**3/5 - 6638*j**2/5 + 22516*j/5 - 15504/5 = 0?
-19, 1, 2, 204
Find b such that -3*b**3 - 1206*b**2 - 85428*b + 7661400 = 0.
-226, 50
Factor 5*m**4 + 35*m**3 - 245*m**2 - 1715*m.
5*m*(m - 7)*(m + 7)**2
What is t in 5*t**3 + 675*t**2 + 8715*t + 29645 = 0?
-121, -7
Factor 12*y**3 + 579*y**2/5 - 3036*y/5 + 3276/5.
3*(y - 2)**2*(20*y + 273)/5
Find c such that 13*c**3/6 - 185*c**2/3 + 662*c/3 - 212 = 0.
2, 318/13
Factor 2*s**4/5 + 558*s**3/5 + 1076*s**2.
2*s**2*(s + 10)*(s + 269)/5
Suppose 24*y**4 - 4076*y**3 + 30592*y**2 - 22004*y - 4536 = 0. What is y?
-1/6, 1, 7, 162
Find i, given that 2*i**4/7 + 1936*i**3/7 + 213120*i**2/7 + 8268800*i/7 + 108544000/7 = 0.
-848, -40
Factor 5*j**3/6 - 1615*j**2/6 + 56540*j/3 - 1137400/3.
5*(j - 235)*(j - 44)**2/6
Factor -5*q**3 - 98420*q**2 + 1378615*q - 4826010.
-5*(q - 7)**2*(q + 19698)
Determine a, given that -4*a**2 + 1504*a - 4476 = 0.
3, 373
Let -y**3 + 11428*y**2 = 0. Calculate y.
0, 11428
Factor 3*w**3 - 125190*w**2 + 1305543771*w + 10452363864.
3*(w - 20869)**2*(w + 8)
Suppose -3*u**4/4 - 594*u**3 + 21603*u**2/4 - 4806*u = 0. Calculate u.
-801, 0, 1, 8
Factor g**4/4 - 91*g**3/4 - 3411*g**2/4 + 359775*g/4 - 523125/2.
(g - 75)**2*(g - 3)*(g + 62)/4
Factor 3*j**4/2 - 2400*j**3 + 969552*j**2 - 7641600*j + 15206784.
3*(j - 796)**2*(j - 4)**2/2
Solve v**5/2 + 53*v**4/2 + 691*v**3/2 + 1955*v**2/2 - 3100*v + 1750 = 0.
-35, -10, 1
Find w such that -5*w**5 - 8750*w**4 + 30*w**3 + 52460*w**2 - 69985*w + 26250 = 0.
-1750, -3, 1
What is n in -15*n**4 - 1095*n**3/2 + 2555*n**2/3 - 785*n/6 - 475/3 = 0?
-38, -1/3, 5/6, 1
Suppose 4*z**5 + 56*z**4 - 224*z**3 - 1464*z**2 + 1692*z + 8640 = 0. Calculate z.
-16, -3, 3, 5
Solve 7*o**3/5 + 12*o**2/5 - 1719*o + 20520 = 0.
-285/7, 15, 24
What is w in -11*w**3 + 141*w**2 + 3326*w + 600 = 0?
-12, -2/11, 25
Factor -3*g**4 - 87*g**3 + 1443*g**2 - 1353*g.
-3*g*(g - 11)*(g - 1)*(g + 41)
Suppose -u**4 - 2199*u**3 + 19845*u**2 - 59589*u + 59616 = 0. Calculate u.
-2208, 3
Determine g, given that 21*g**2 - 89410*g - 34064 = 0.
-8/21, 4258
Factor -g**3 + 21085*g**2.
-g**2*(g - 21085)
Find u such that u**3/4 + 108*u**2 - 1749*u/4 - 545 = 0.
-436, -1, 5
Suppose -n**2 + 16290*n - 211601 = 0. Calculate n.
13, 16277
Factor o**2 - 238978*o + 477952.
(o - 238976)*(o - 2)
Factor 2*t**2/9 - 38156*t/9.
2*t*(t - 19078)/9
Solve 2*n**5/15 + 292*n**4/15 + 170*n**3/3 - 1144*n**2/15 = 0.
-143, -4, 0, 1
What is t in -2*t**4 - 148*t**3 - 1938*t**2 - 4808*t - 3016 = 0?
-58, -13, -2, -1
Factor y**3 - 343*y**2 - 2085*y - 3141.
(y - 349)*(y + 3)**2
Determine s, given that 20*s**4 + 1005*s**3 + 3915*s**2 + 170*s - 2760 = 0.
-46, -4, -1, 3/4
Factor -7*j**3/2 - 2707*j**2/2 + 12861*j - 3564.
-(j - 9)*(j + 396)*(7*j - 2)/2
Factor -2*l**5/3 - 7820*l**4 - 22955600*l**3 - 412637920*l**2/3 - 274966880*l - 183269568.
-2*(l + 2)**3*(l + 5862)**2/3
Factor -6*t**4 + 344*t**3 - 448*t**2.
-2*t**2*(t - 56)*(3*t - 4)
Let -i**4/4 + 17*i**3/4 + 133*i**2/4 + 127*i/4 - 69 = 0. What is i?
-4, -3, 1, 23
Factor 2*m**4 + 792*m**3 + 75994*m**2 - 478380*m + 646416.
2*(m - 4)*(m - 2)*(m + 201)**2
Suppose -5*n**2 - 9920*n - 4920320 = 0. Calculate n.
-992
Factor -r**2 + 59*r + 1782.
-(r - 81)*(r + 22)
Solve -c**5/3 + 29*c**4/3 + 86*c**3/3 - 1634*c**2 - 3255*c + 4851 = 0.
-11, -3, 1, 21
Factor -5*l**2 - 8180*l + 8185.
-5*(l - 1)*(l + 1637)
Suppose -2*s**4 + 906*s**3 + 10178*s**2 + 13974*s - 25056 = 0. What is s?
-9, -3, 1, 464
Factor -3*v**3/4 + 21315*v**2/2.
-3*v**2*(v - 14210)/4
Factor 4*d**2/9 + 32968*d/9 + 142636/3.
4*(d + 13)*(d + 8229)/9
Find n such that 2*n**4 + 554*n**3/3 - 8316*n**2 + 63256*n/3 - 10416 = 0.
-126, 2/3, 2, 31
Factor g**2/3 - 752*g/3 - 7280.
(g - 780)*(g + 28)/3
Determine u so that 3*u**5/8 + 17*u**4/4 - 549*u**3/8 + 154*u**2 - 147*u/2 = 0.
-21, 0, 2/3, 2, 7
Find o, given that 2*o**2/3 + 21196*o/3 + 14128 = 0.
-10596, -2
What is d in d**3/6 - 9755*d**2/6 + 194500*d/3 - 1943000/3 = 0?
20, 9715
Determine v, given that -2*v**5/13 + 4216*v**4/13 - 67124*v**3/13 + 376960*v**2/13 - 837050*v/13 + 523000/13 = 0.
1, 5, 2092
Factor 4*y**3 - 7412*y**2 + 402528*y.
4*y*(y - 1797)*(y - 56)
Solve -3*d**4 - 7344*d**3 + 816480*d**2 - 29673216*d + 357758208 = 0 for d.
-2556, 36
Factor -6*i**3/7 + 2832*i**2/7 - 264366*i/7 + 6978852/7.
-6*(i - 358)*(i - 57)**2/7
What is i in 2*i**4/3 - 10952*i**3 - 1020458*i**2/3 = 0?
-31, 0, 16459
Determine n, given that 2*n**5/7 + 72*n**4/7 + 778*n**3/7 + 1548*n**2/7 - 12960*n/7 - 43200/7 = 0.
-15, -6, -4, 4
Determine f, given that 2*f**2/3 - 244*f/3 + 2128 = 0.
38, 84
Suppose -2*r**4 + 6438*r**3 - 5197046*r**2 + 25850202*r - 20659592 = 0. Calculate r.
1, 4, 1607
Factor -2*k**2/7 - 5328*k/7 - 15966/7.
-2*(k + 3)*(k + 2661)/7
Factor -2*h**2/5 + 774*h/5 + 35096/5.
-2*(h - 428)*(h + 41)/5
Determine o, given that -4*o**5/5 - 1248*o**4/5 + 7584*o**3/5 - 15232*o**2/5 + 10176*o/5 = 0.
-318, 0, 2
Let 25*g**3 - 9145*g**2 + 121370*g + 24640 = 0. What is g?
-1/5, 14, 352
Factor 2*u**3/3 - 1434*u**2 - 17280*u - 51912.
2*(u - 2163)*(u + 6)**2/3
Let -15*r**5 - 212*r**4 + 707*r**3 - 412*r**2 - 68*r = 0. What is r?
-17, -2/15, 0, 1, 2
Factor -2*z**2 - 57784*z - 417373832.
-2*(z + 14446)**2
Find a, given that 2*a**5/5 - 122*a**4 + 2962*a**3/5 + 11458*a**2/5 - 17316*a/5 - 5040 = 0.
-3, -1, 2, 7, 300
Factor 3*q**4/5 + 9576*q**3/5 + 171639*q**2/5 + 771282*q/5.
3*q*(q + 9)**2*(q + 3174)/5
Let -3*q**4 + 65157*q**3 - 260592*q**2 + 260580*q = 0. Calculate q.
0, 2, 21715
Factor -2*o**2/5 - 1988*o/5 - 1986/5.
-2*(o + 1)*(o + 993)/5
Factor -2*y**2/19 + 520604*y/19 - 33878565602/19.
-2*(y - 130151)**2/19
What is a in 4*a**3 + 19248*a**2 - 192976*a - 462912 = 0?
-4822, -2, 12
What is f in 1124*f**3 + 16868*f**2 - 60576*f - 432 = 0?
-18, -2/281, 3
Factor 5*a**2 - 2996410*a + 448923644405.
5*(a - 299641)**2
Find b, given that -5*b**3 + 855*b**2 - 1690*b = 0.
0, 2, 169
Find q such that -2*q**3/9 - 482*q**2/9 - 29516*q/9 - 19040/3 = 0.
-120, -119, -2
Factor b**4/4 + 63*b**3/2 - 11890*b**2.
b**2*(b - 164)*(b + 290)/4
Factor -3*j**2/8 + 43185*j/2 - 621648075/2.
-3*(j - 28790)**2/8
Suppose -2*g**2/15 + 114*g/5 + 708/5 = 0. Calculate g.
-6, 177
Solve 4*c**3 + 5412*c**2 + 133064*c + 350592 = 0 for c.
-1328, -22, -3
Factor -375*i**4/4 - 67725*i**3/2 - 141120*i**2 - 394107*i/2 - 367353/4.
-3*(i + 357)*(5*i + 7)**3/4
Solve -2*y**4/7 - 136*y**3/7 + 348*y**2 - 4456*y/7 + 2158/7 = 0 for y.
-83, 1, 13
Factor f**3 + 15690*f**2 + 61512633*f - 246301636.
(f - 4)*(f + 7847)**2
Factor 2*g**3/9 + 340*g**2/9 + 1336*g/9 + 1328/9.
2*(g + 2)**2*(g + 166)/9
Factor -x**2/2 + 2631*x/2 + 2633.
-(x - 2633)*(x + 2)/2
Let -4*g**5/21 + 25294*g**4/7 + 189722*g**3/21 + 50594*g**2/7 + 37946*g/21 = 0. Calculate g.
-1, -1/2, 0, 18973
Suppose 3*h**3/4 - 231*h**2/4 + 111*h/2 + 114 = 0. Calculate h.
-1, 2, 76
Factor -g**3/10 + 5023*g**2/5 - 540297*g/10 + 3642084/5.
-(g - 9992)*(g - 27)**2/10
Solve -2*x**4/11 + 134*x**3/11 + 5494*x**2/11 - 450870*x/11 + 376884 = 0.
-58, 11, 57
Solve d**4/4 - 51*d**3/4 + 85*d**2/4 + 627*d/4 + 245/2 = 0 for d.
-2, -1, 5, 49
Factor 2*w**3/5 - 652*w**2/5 - 14538*w - 72036/5.
2*(w - 414)*(w + 1)*(w + 87)/5
Factor 5*y**3 + 1900*y**2 - 112320*y.
5*y*(y - 52)*(y + 432)
Factor -t**2 + 1195*t - 14196.
-(t - 1183)*(t - 12)
Let -3*n**3/5 - 3699*n**2/5 - 1043556*n/5 = 0. What is n?
-796, -437, 0
Let -2*q**2/11 - 33272*q/11 = 0. What is q?
-16636, 0
Factor -3*a**3/7 - 216897*a**2/7 - 560097768*a - 1680014448.
-3*(a + 3)*(a + 36148)**2/7
Find z such that -4*z**2/5 + 7227104*z/5 - 3264439514176/5 = 0.
903388
Determine z so that 12*z**4 - 56*z**3 - 59*z**2/3 - 5*z/3 = 0.
-1/6, 0, 5
Let -6*h**4 + 374*h**3 - 2880*h**2 - 17888*h = 0. What is h?
-4, 0, 43/3, 52
Factor -3*y**4/2 + 278646*y**3 - 12940598886*y**2.
-3*y**2*(y - 92882)**2/2
Factor -3*m**3 + 143394*m**2 - 430161*m + 286770.
-3*(m - 47795)*(m - 2)*(m - 1)
Suppose -3*i**4 + 297*i**3 + 22062*i**2 - 45288*i = 0. Calculate i.
-51, 0, 2, 148
Determine s so that -4*s**2 - 3707600*s - 859143610000 = 0.
-463450
Factor -7*c**4 + 502*c**3 - 353*c**2 - 142*c.
-c*(c - 71)*(c - 1)*(7*c + 2)
Factor 4*u**2 + 6435464*u + 2