- 101600.
-5*(g - 160)*(g - 127)
Factor -2*g**2/5 + 3076*g/5 - 3074/5.
-2*(g - 1537)*(g - 1)/5
Factor 6*q**2/5 + 1292*q/5 + 3822/5.
2*(q + 3)*(3*q + 637)/5
Suppose -o**4/5 + 1894*o**3/5 - 922933*o**2/5 + 24739428*o/5 - 170615844/5 = 0. What is o?
14, 933
Suppose 2*c**5 + 46*c**4 + 332*c**3 + 1044*c**2 + 1458*c + 702 = 0. Calculate c.
-13, -3, -1
Suppose f**5/4 + 5543*f**4/2 - f**3/2 - 5543*f**2 + f/4 + 5543/2 = 0. Calculate f.
-11086, -1, 1
Find d such that 4*d**2 + 28048*d + 112128 = 0.
-7008, -4
Suppose -25*j**4 + 935*j**3 + 64455*j**2 + 37945*j - 25550 = 0. What is j?
-35, -1, 2/5, 73
Solve -m**2/6 - 77*m/3 - 1975/2 = 0.
-79, -75
Factor 2*f**4 + 446212*f**3 + 24889036026*f**2 + 99550789624*f + 99549004808.
2*(f + 2)**2*(f + 111551)**2
What is b in -b**2/11 + 468*b/11 = 0?
0, 468
Factor -z**4 + 435*z**3 + 20512*z**2 + 20076*z.
-z*(z - 478)*(z + 1)*(z + 42)
Factor 3*c**2 - 165303*c + 495882.
3*(c - 55098)*(c - 3)
Find a, given that -2*a**5/23 - 106*a**4/23 - 1852*a**3/23 - 10604*a**2/23 + 1854*a/23 + 10710/23 = 0.
-21, -17, -15, -1, 1
Suppose -5*d**4 + 520*d**3 - 2020*d**2 + 2000*d = 0. Calculate d.
0, 2, 100
Let -l**2/5 + 1202*l/5 + 3159 = 0. Calculate l.
-13, 1215
Factor -3*r**3/2 - 1824*r**2 - 50631*r/2 - 88347.
-3*(r + 7)**2*(r + 1202)/2
Solve -3*a**4/4 + 7941*a**3/2 - 174411*a**2/4 + 95067*a + 142641 = 0 for a.
-1, 6, 5283
Let 10761*z**4 - 10755*z**3 - 6*z**2 = 0. Calculate z.
-2/3587, 0, 1
Factor -5*n**4 + 19315*n**3 - 18663115*n**2 + 18643805*n.
-5*n*(n - 1931)**2*(n - 1)
Solve 2*j**2/5 - 286624*j/5 - 1146528/5 = 0.
-4, 143316
Find z such that -z**5 - 979*z**4 - 7792*z**3 - 23336*z**2 - 31088*z - 15536 = 0.
-971, -2
Suppose -26*b**4/25 + 6252*b**3/25 - 39618*b**2/25 + 71712*b/25 - 25272/25 = 0. Calculate b.
6/13, 3, 234
Factor 5*b**2 - 72030*b - 72035.
5*(b - 14407)*(b + 1)
Factor 3*w**3/5 - 939*w**2/5 - 17334*w/5 + 33264.
3*(w - 330)*(w - 7)*(w + 24)/5
Factor 5*z**4 + 2959840*z**3 + 438032641280*z**2.
5*z**2*(z + 295984)**2
Suppose 26*r**4/3 - 94516*r**3/3 + 28620168*r**2 + 22034160*r = 0. What is r?
-10/13, 0, 1818
Determine f so that -2*f**2/11 - 622*f + 1108560/11 = 0.
-3576, 155
Solve 98*q**3/3 + 27776*q**2/3 - 23970*q + 15444 = 0 for q.
-286, 9/7
Factor -l**4 - 654*l**3 + 11355*l**2 - 34892*l.
-l*(l - 13)*(l - 4)*(l + 671)
Determine r so that -6*r**5/7 + 208*r**4/7 + 4306*r**3/7 + 14612*r**2/7 + 4400*r/7 = 0.
-11, -4, -1/3, 0, 50
Suppose 4*v**3 + 1411728*v**2 + 5646864*v + 5646848 = 0. What is v?
-352928, -2
Suppose 4*l**3 - 444*l**2 + 8600*l = 0. Calculate l.
0, 25, 86
Factor -c**3 + 1003*c**2 + 39393*c + 171765.
-(c - 1041)*(c + 5)*(c + 33)
Find y such that -y**4/5 - 11*y**3/5 + 12*y**2/5 = 0.
-12, 0, 1
Suppose -5*y**2/2 + 88595*y/2 = 0. Calculate y.
0, 17719
Solve 4*c**3 - 202784*c**2 + 608324*c - 405544 = 0.
1, 2, 50693
Let 2*l**2 + 554*l + 1100 = 0. What is l?
-275, -2
Let -2*j**4/3 - 94*j**3/3 - 1294*j**2/3 - 4322*j/3 + 1904 = 0. Calculate j.
-24, -17, -7, 1
Factor 3*a**2 + 8316*a.
3*a*(a + 2772)
Factor -3*w**2/4 - 1018443*w/4.
-3*w*(w + 339481)/4
Factor 2*c**4/5 + 83*c**3/5 + 7*c**2 - 246*c/5.
c*(c + 2)*(c + 41)*(2*c - 3)/5
Suppose -1452*l**5 + 218218*l**4/3 + 201440*l**3/3 - 30508*l**2/3 - 9884*l/3 - 170 = 0. Calculate l.
-1, -1/11, 5/18, 51
Factor 270*o**2 - 7555*o - 7975.
5*(o - 29)*(54*o + 55)
Find r, given that 698*r**3/7 + 708*r**2/7 - 198*r - 20/7 = 0.
-2, -5/349, 1
Factor 3*s**2 - 26748*s - 294591.
3*(s - 8927)*(s + 11)
Factor -2*o**2/5 - 258204*o/5 - 258202/5.
-2*(o + 1)*(o + 129101)/5
Factor 5*n**4 - 47495*n**3 - 1570965*n**2 - 17293925*n - 63435460.
5*(n - 9532)*(n + 11)**3
Factor -2*i**2 - 1280*i + 5152.
-2*(i - 4)*(i + 644)
Solve 2*u**5/11 - 384*u**4/11 + 17650*u**3/11 + 74876*u**2/11 + 95256*u/11 + 38416/11 = 0.
-2, -1, 98
Solve -2*q**2 - 626*q - 47244 = 0.
-186, -127
Determine v so that -4*v**3 - 380*v**2 - 8944*v = 0.
-52, -43, 0
Factor -2*c**3 - 352*c**2 - 3006*c + 102960.
-2*(c - 13)*(c + 24)*(c + 165)
What is r in -2*r**3/3 + 4754*r**2 - 8444208*r - 331738784/3 = 0?
-13, 3572
Let -15*b**4/8 + 3573*b**3/4 - 105669*b**2 - 683301*b/4 - 514089/8 = 0. What is b?
-1, -3/5, 239
Let y**4/4 - 149985*y**3/2 + 224976*y**2 - 449951*y/2 + 299967/4 = 0. Calculate y.
1, 299967
Solve t**5/4 + 11*t**4/2 - 843*t**3/4 - 16*t**2 + 641*t - 420 = 0 for t.
-42, -2, 1, 20
Solve v**2/2 + 249*v/4 + 31 = 0.
-124, -1/2
Factor -3*h**3 - 30*h**2 - 27*h.
-3*h*(h + 1)*(h + 9)
Determine j, given that j**3 - 255*j**2 + 13212*j + 13468 = 0.
-1, 74, 182
Factor -i**4/4 + 3233*i**3/2 - 3483018*i**2 + 2498480600*i + 5010906208.
-(i - 2156)**3*(i + 2)/4
Factor 1922*n**2 + 64232*n + 536648.
2*(31*n + 518)**2
Factor -d**2/8 + 1173*d/8 - 6391/4.
-(d - 1162)*(d - 11)/8
Find j, given that 14*j**2/3 + 32*j + 54 = 0.
-27/7, -3
Solve m**3/9 - 43*m**2/9 - 340*m/9 - 500/9 = 0.
-5, -2, 50
Determine r so that 5*r**3 + 6680*r**2 - 947100*r + 31973040 = 0.
-1468, 66
Solve -4*m**5 + 116832*m**4 - 116816*m**3 - 350488*m**2 + 116820*m + 233656 = 0 for m.
-1, 1, 2, 29207
Factor 5*z**3 - 99*z**2 - 486*z - 432.
(z - 24)*(z + 3)*(5*z + 6)
What is i in -4*i**5 + 192*i**4 - 684*i**3 - 880*i**2 = 0?
-1, 0, 5, 44
Factor o**3/3 + 1226*o**2/3 + 1225*o/3.
o*(o + 1)*(o + 1225)/3
Factor 4*m**3 + 3854*m**2 - 1928*m.
2*m*(m + 964)*(2*m - 1)
Factor 4*t**2 - 154560*t + 1493049600.
4*(t - 19320)**2
Suppose 57*r**3/2 + 186*r**2 - 2523*r/2 + 1551 = 0. What is r?
-11, 2, 47/19
Find q such that q**4/2 - 117*q**3/2 + 107*q**2/2 + 195525*q/2 + 97650 = 0.
-35, -1, 60, 93
Find i, given that -i**2 + 3801*i + 22842 = 0.
-6, 3807
Determine y so that -y**3/8 + 187*y**2/4 - 30345*y/8 + 88434 = 0.
51, 272
Factor d**3/2 - 291*d**2 + 1727*d/2 + 2895.
(d - 579)*(d - 5)*(d + 2)/2
Factor 4*x**4 - 3116*x**3 - 155712*x**2 - 2524160*x - 13549568.
4*(x - 827)*(x + 16)**3
Factor -4*w**2 - 128240*w - 384684.
-4*(w + 3)*(w + 32057)
What is y in -2*y**3 + 40*y**2 + 206*y - 5236 = 0?
-11, 14, 17
Let -d**3/4 - 627*d**2/4 + d/4 + 627/4 = 0. What is d?
-627, -1, 1
Factor -j**2/5 + 1439*j - 14386/5.
-(j - 7193)*(j - 2)/5
Solve -2*f**5/3 - 18*f**4 + 2420*f**3/3 + 67324*f**2/3 - 806*f - 67270/3 = 0 for f.
-31, -1, 1, 35
Factor -2*l**3 - 590*l**2 - 584*l + 1176.
-2*(l - 1)*(l + 2)*(l + 294)
Determine o, given that -3*o**5 + 186*o**4 - 3651*o**3 + 19776*o**2 + 51264*o + 27648 = 0.
-1, 16, 24
Suppose -16*k**4 - 180*k**3 - 300*k**2 + 1280*k + 336 = 0. Calculate k.
-7, -6, -1/4, 2
Determine i, given that -33*i**2/4 - 6927*i/2 + 630 = 0.
-420, 2/11
Factor -64*v**4 - 15328*v**3 - 212164*v**2 - 756900*v.
-4*v*(v + 225)*(4*v + 29)**2
Solve 3*l**2/5 - 30474*l/5 + 77388723/5 = 0.
5079
Factor -b**3 - 1169*b**2/2 + 1767*b/2 + 2637.
-(b - 3)*(b + 586)*(2*b + 3)/2
Factor v**3/3 - 117*v**2 - 15769*v/3 + 16813.
(v - 391)*(v - 3)*(v + 43)/3
What is l in -4*l**3 - 340*l**2 - 2524*l - 4620 = 0?
-77, -5, -3
Factor -3*o**4 - 66084*o**3 - 363990666*o**2 - 727783092*o - 363858507.
-3*(o + 1)**2*(o + 11013)**2
Factor -2*s**3/17 + 3834*s**2/17 - 1839360*s/17 + 1835528/17.
-2*(s - 958)**2*(s - 1)/17
Solve 14*n**2/5 - 472*n/5 - 7912/5 = 0 for n.
-86/7, 46
Factor f**2 - 1564*f + 1563.
(f - 1563)*(f - 1)
Suppose 2*h**2 - 99076*h + 1227006722 = 0. What is h?
24769
Determine o so that -2*o**5/7 - 24*o**4/7 + 46*o**3/7 + 780*o**2/7 - 800*o/7 = 0.
-10, -8, 0, 1, 5
Factor -2601*b**3/8 + 18921*b**2/4 + 19228*b + 17424.
-(b - 18)*(51*b + 88)**2/8
Factor -3*h**4 - 193050*h**3 - 4140922500*h**2 - 29607595875000*h.
-3*h*(h + 21450)**3
What is m in -m**2/2 + 1547*m - 3092 = 0?
2, 3092
Find c, given that c**4 + 13430*c**3/3 - 5971*c**2 - 1492*c + 8956/3 = 0.
-4478, -2/3, 1
Factor -n**2/9 + 464*n/9 - 16016/3.
-(n - 308)*(n - 156)/9
Factor u**2/5 - 7532*u + 70913780.
(u - 18830)**2/5
Factor -5*s**4 - 1235*s**3 - 1220*s**2 + 2460*s.
-5*s*(s - 1)*(s + 2)*(s + 246)
Find y, given that 6*y**3/5 - 1016*y**2/5 + 13238*y/5 + 2852 = 0.
-1, 46/3, 155
Suppose -c**5 + 2817*c**4/5 + 78664*c**3/5 - 114516*c**2/5 + 6608*c = 0. Calculate c.
-28, 0, 2/5, 1, 590
Let -z**4/2 + 280*z**3 + 4281*z**2 + 18088*z + 28175/2 = 0. Calculate z.
-7, -1, 575
Determine v so that 3*v**3 + 252984*v**2 + 4047168*v + 16187904 = 0.
-84312, -8
Solve -a**2 - 478836*a - 57320978724 = 0 for a.
-239418
Let 4*a**4 + 41568*a**3 + 144609672*a**2 + 170535335936*a + 7385027012820 = 0. What is a?