96 = 0.
-38, -3
Suppose 68*g**5 - 744*g**4 - 1812*g**3 - 104*g**2 = 0. Calculate g.
-2, -1/17, 0, 13
Suppose -d**3 - 587*d**2 + 1177*d - 589 = 0. What is d?
-589, 1
Factor 275*w**2 - 12160*w + 2640.
5*(w - 44)*(55*w - 12)
Find n such that -8*n**5/5 + 578*n**4 + 34932*n**3/5 + 48602*n**2/5 - 41656*n/5 - 8952 = 0.
-10, -2, -3/4, 1, 373
Factor -2*m**2 + 10302*m - 10300.
-2*(m - 5150)*(m - 1)
Solve -b**5/5 + 15*b**4 - 2083*b**3/5 + 25653*b**2/5 - 125212*b/5 + 101568/5 = 0 for b.
1, 12, 16, 23
Let 6*j**2 - 9741*j - 882102 = 0. Calculate j.
-86, 3419/2
Factor 5*j**2 - 123860*j + 767064980.
5*(j - 12386)**2
Find r, given that -1926*r**5 + 7773*r**4 - 8580*r**3 + 345*r**2 + 2136*r + 252 = 0.
-1/3, -14/107, 1, 3/2, 2
Solve -3*g**3 - 2487684*g**2 - 515716794663*g - 1031423638614 = 0 for g.
-414613, -2
Determine q so that q**3 - 1841*q**2 - 20344*q - 51856 = 0.
-7, -4, 1852
Let -2*g**2/5 + 24198*g/5 + 217944/5 = 0. What is g?
-9, 12108
Factor 80*a**3/3 + 1371560*a**2/3 + 1959787775*a + 1959330615.
5*(a + 1)*(4*a + 34287)**2/3
Solve -i**4/2 + 259*i**3 + 260*i**2 - 259*i - 519/2 = 0 for i.
-1, 1, 519
Determine v so that -2*v**4 + 106*v**3 + 2220*v**2 + 11072*v + 8960 = 0.
-8, -1, 70
Let 4*m**2 + 434112*m + 11778326784 = 0. What is m?
-54264
Find w such that w**4/4 - 9*w**3/2 - 1425*w**2/4 + 1457*w/2 = 0.
-31, 0, 2, 47
Find o such that 4*o**3/5 + 1684*o**2/5 - 10228*o/5 + 1708 = 0.
-427, 1, 5
Find g, given that 4*g**4 - 75380*g**3 + 473033664*g**2 - 985468640256*g - 18895186870272 = 0.
-19, 6288
Factor 2*n**2 + 8244*n + 24714.
2*(n + 3)*(n + 4119)
Determine w so that -2*w**5/3 - 3632*w**4/3 + 7280*w**3/3 + 14528*w**2/3 - 9696*w = 0.
-1818, -2, 0, 2
Suppose m**3/7 + 198*m**2/7 + 663*m + 29068/7 = 0. Calculate m.
-172, -13
Suppose -5*d**4 + 48010*d**3 - 115199985*d**2 - 230544020*d - 115296020 = 0. What is d?
-1, 4802
Let d**2/3 + 284*d/3 - 23479 = 0. Calculate d.
-443, 159
Factor -c**3/2 + 2087*c**2/2 + 12549*c/2 + 18837/2.
-(c - 2093)*(c + 3)**2/2
Find d, given that -4*d**5 - 252*d**4 - 1172*d**3 - 660*d**2 + 2088*d = 0.
-58, -3, 0, 1
Factor 4*u**4 + 2152*u**3 + 8556*u**2 + 6408*u.
4*u*(u + 1)*(u + 3)*(u + 534)
Determine n, given that -5*n**3 - 1710*n**2 + 26555*n - 78540 = 0.
-357, 4, 11
Factor -p**2/3 + 331*p/3 + 14840/3.
-(p - 371)*(p + 40)/3
Factor -2*v**3 + 40*v**2 - 192*v.
-2*v*(v - 12)*(v - 8)
What is s in -6*s**3/5 - 12204*s**2/5 + 171888*s/5 - 294912/5 = 0?
-2048, 2, 12
Factor -15*s**2 - 172070*s - 57355.
-5*(s + 11471)*(3*s + 1)
Let -84*t**5/17 - 12134*t**4/17 - 440862*t**3/17 - 187468*t**2/17 + 345024*t/17 + 103680/17 = 0. Calculate t.
-72, -1, -2/7, 5/6
Suppose p**2/5 - 3293*p/5 - 36828 = 0. What is p?
-55, 3348
Factor -3*d**3 - 2148*d**2 - 21180*d.
-3*d*(d + 10)*(d + 706)
Determine j so that 3*j**4/2 + 15969*j**3/4 + 1011375*j**2/4 + 4114416*j + 1994496 = 0.
-2597, -32, -1/2
Determine f so that 3*f**5 + 304242*f**4 + 7712686767*f**3 - 46284335460*f**2 + 69430610700*f = 0.
-50710, 0, 3
Factor -3*j**2 - 321*j - 8190.
-3*(j + 42)*(j + 65)
Solve -5*w**4/4 + 105*w**3/4 - 325*w**2/4 - 1785*w/4 - 675/2 = 0 for w.
-2, -1, 9, 15
Factor 2*y**3 + 40120*y**2 + 201722346*y + 5217695028.
2*(y + 26)*(y + 10017)**2
Solve -2*h**4/3 - 12232*h**3/3 - 6238316*h**2 - 12448104*h + 18690498 = 0.
-3057, -3, 1
Determine p, given that 2*p**3/5 - 1846*p**2 - 18466*p/5 - 9234/5 = 0.
-1, 4617
Let -3*g**3/4 + 4641*g**2 + 55773*g + 167400 = 0. What is g?
-6, 6200
Factor -f**2 + 785906*f - 154412060209.
-(f - 392953)**2
Solve y**2/3 + 26*y + 296/3 = 0.
-74, -4
Determine t, given that -2*t**4/3 - t**3/3 + 14*t**2/3 + 4*t/3 - 8 = 0.
-2, 3/2, 2
Suppose -u**3/10 - 2069*u**2/5 - 8273*u/10 - 2068/5 = 0. What is u?
-4136, -1
Factor -f**4/4 - 17*f**3/8 - f**2.
-f**2*(f + 8)*(2*f + 1)/8
Determine m so that 165*m**3/4 - 783*m**2 + 735*m - 108 = 0.
2/11, 4/5, 18
Determine c, given that 2*c**3/7 + 808*c**2/7 + 85994*c/7 + 2749764/7 = 0.
-258, -73
Factor 5*k**3 - 2860*k**2 - 20*k + 11440.
5*(k - 572)*(k - 2)*(k + 2)
Factor 3*h**3/4 + 2553*h**2/2 + 10203*h/4 + 1275.
3*(h + 1)**2*(h + 1700)/4
Determine q, given that -4*q**4 - 708*q**3 - 15796*q**2 - 13692*q + 30200 = 0.
-151, -25, -2, 1
Solve -4*y**3 + 1448*y**2 + 55444*y + 53992 = 0.
-34, -1, 397
Factor 20*d**2 + 2492*d + 16464.
4*(d + 7)*(5*d + 588)
Suppose 4*s**4/7 - 38812*s**3/7 + 94089972*s**2/7 + 282541660*s/7 + 188412872/7 = 0. Calculate s.
-2, -1, 4853
Solve 5*g**4/3 - 94*g**3/3 - 921*g**2 + 18396*g - 14112 = 0 for g.
-24, 4/5, 21
Factor 5*i**2 - 23535*i - 330470.
5*(i - 4721)*(i + 14)
Factor 2*i**2 + 9946*i - 9948.
2*(i - 1)*(i + 4974)
Factor 2*t**2/17 - 57882*t/17 - 231560/17.
2*(t - 28945)*(t + 4)/17
Find b such that -3*b**2/4 - 21*b/4 + 22125/2 = 0.
-125, 118
Factor w**4/5 - 1186*w**3/5 - 4*w**2/5 + 4744*w/5.
w*(w - 1186)*(w - 2)*(w + 2)/5
Solve -j**3 - 59130*j**2 - 1064097*j - 4788072 = 0 for j.
-59112, -9
Factor -65*m**5 - 4630*m**4 - 1065*m**3.
-5*m**3*(m + 71)*(13*m + 3)
Factor u**2/3 - 10850*u/3 + 29430625/3.
(u - 5425)**2/3
Let u**4/4 + 275*u**3/4 - 1113*u**2/4 + 837*u/4 = 0. Calculate u.
-279, 0, 1, 3
Solve 14769*g**4/8 - 3411633*g**3/8 + 262694817*g**2/8 - 6742429155*g/8 - 1369599/4 = 0 for g.
-2/4923, 77
Factor -257*s**2/2 - 13106*s + 102.
-(s + 102)*(257*s - 2)/2
Factor 2*l**2 + 3810*l - 104328.
2*(l - 27)*(l + 1932)
Find z, given that 14*z**3/3 + 446*z**2/3 + 2834*z/3 - 138 = 0.
-23, -9, 1/7
Solve -2*q**3 + 5104*q**2 - 30552*q = 0 for q.
0, 6, 2546
Factor w**4/5 + 12*w**3/5 - 34*w**2/5 - 612*w/5 - 567/5.
(w - 7)*(w + 1)*(w + 9)**2/5
Determine v, given that -3*v**2 - 82233*v + 246726 = 0.
-27414, 3
What is u in -4396*u**3 + 96711*u**2 + 101130*u + 23 = 0?
-1, -1/4396, 23
Factor -d**4 + 852*d**3 + 6003*d**2 + 8590*d.
-d*(d - 859)*(d + 2)*(d + 5)
Suppose -d**3/2 - 3841*d**2 = 0. Calculate d.
-7682, 0
Suppose -354*g**4 - 704*g**3 + 2486*g**2 - 1444*g + 16 = 0. Calculate g.
-4, 2/177, 1
Let -2*v**3/11 + 1944*v**2/11 - 3882*v/11 + 1940/11 = 0. Calculate v.
1, 970
Solve -f**5/2 - 2*f**4 + 95*f**3/2 + 325*f**2 + 628*f + 352 = 0.
-8, -4, -2, -1, 11
Solve 3*h**4/2 - 1585*h**3/3 + 3845*h**2/6 + 2810*h/3 - 234 = 0 for h.
-1, 2/9, 2, 351
Let 2*h**3/9 - 43*h**2/3 + 220*h + 363 = 0. Calculate h.
-3/2, 33
Factor 5*x**3/4 + 67625*x**2/4 + 135235*x/4 + 67615/4.
5*(x + 1)**2*(x + 13523)/4
Factor -t**4 - 494*t**3 - 2937*t**2 - 4396*t - 1952.
-(t + 1)**2*(t + 4)*(t + 488)
Factor -3*y**2/4 - 3630*y - 21753.
-3*(y + 6)*(y + 4834)/4
Determine u so that -32*u**4/17 + 752*u**3/17 + 494*u**2/17 - 2540*u/17 - 2400/17 = 0.
-5/4, 2, 24
Factor -2*g**4/23 - 7446*g**3/23 - 37180*g**2/23.
-2*g**2*(g + 5)*(g + 3718)/23
Factor d**3/8 + 87*d**2/8 + 759*d/8 - 847/8.
(d - 1)*(d + 11)*(d + 77)/8
Find i, given that 2*i**4 + 360*i**3 - 147434*i**2 - 444792*i - 297000 = 0.
-375, -2, -1, 198
Solve 6*g**2/5 - 14757*g/5 - 1476 = 0.
-1/2, 2460
Let -k**2/2 - 2308*k - 50655/2 = 0. What is k?
-4605, -11
Factor 4*i**3/7 - 792*i**2/7 + 8324*i/7 - 17952/7.
4*(i - 187)*(i - 8)*(i - 3)/7
What is a in 2*a**3/13 - 642*a**2/13 - 1290*a/13 - 646/13 = 0?
-1, 323
Determine j, given that -j**4/8 - 12337*j**3/8 + 24677*j**2/8 - 12339*j/8 = 0.
-12339, 0, 1
Factor b**3/10 + 437*b**2 - 52573*b/10 + 24101/5.
(b - 11)*(b - 1)*(b + 4382)/10
Find i, given that -2*i**5/7 - 46*i**4/7 - 40*i**3 - 344*i**2/7 + 96*i = 0.
-14, -6, -4, 0, 1
Find b, given that 5*b**4 - 750*b**3 + 9445*b**2 + 10200*b = 0.
-1, 0, 15, 136
Factor 2495*b**2 - 9995*b + 60.
5*(b - 4)*(499*b - 3)
Suppose -3*n**3 + 2982*n**2 - 2979*n = 0. Calculate n.
0, 1, 993
What is o in -o**2/4 + 1277*o/2 - 2550 = 0?
4, 2550
Find h, given that -2*h**4/5 - 196*h**3 + 175424*h**2/5 + 70756*h + 177378/5 = 0.
-629, -1, 141
Factor -5*d**2 - 4495*d - 13440.
-5*(d + 3)*(d + 896)
Find v, given that -4*v**3 + 120*v**2 - 624*v - 1760 = 0.
-2, 10, 22
Factor 5*k**2 - 15770*k + 141525.
5*(k - 3145)*(k - 9)
Factor t**3/5 - 446*t**2 + 1238753*t/5 + 4990756/5.
(t - 1117)**2*(t + 4)/5
Factor 4*w**3 - 4644*w**2 + 91196*w + 95844.
4*(w - 1141)*(w - 21)*(w + 1)
Find m such that -2*m**3/9 - 1114*m**2/3 - 29872*m/9 + 24376/3 = 0.
-1662, -11, 2
Solve -2*u**3/11 + 178*u**2/11 - 3350*u/11 - 1950 = 0.
-5, 39, 55
Determine l so that l**3/3 + 72*l**2 + 3503*l - 127690/3 = 0.
-113, 10
Factor 3*h**3 + 606*h**2 + 543*h - 12060.
3*(h - 4)*(h + 5)*(h + 201)
De