 - 279)*(y + 1)**2/4
Find h such that 22*h**4 - 86*h**3 - 428*h**2 - 336*h = 0.
-2, -12/11, 0, 7
What is q in 4*q**3 + 204*q**2 - 640*q + 432 = 0?
-54, 1, 2
Factor -3*s**2 - 144*s - 1728.
-3*(s + 24)**2
Factor 2*z**2/7 - 44*z/7 + 6.
2*(z - 21)*(z - 1)/7
Let -4*z**3 + 24*z**2 + 36*z - 56 = 0. Calculate z.
-2, 1, 7
Factor -7*y**4 + 233*y**3 - 1760*y**2 + 484*y.
-y*(y - 22)*(y - 11)*(7*y - 2)
Factor -8*u**3/7 - 58*u**2/7 + 130*u/7 + 36/7.
-2*(u - 2)*(u + 9)*(4*u + 1)/7
Determine n, given that 2*n**4/11 + 54*n**3/11 - 238*n**2/11 + 306*n/11 - 124/11 = 0.
-31, 1, 2
Suppose k**5/2 - 5*k**4/2 - 33*k**3 = 0. What is k?
-6, 0, 11
Factor -2*h**2/15 + 16*h/15.
-2*h*(h - 8)/15
Factor -10*k**3 - 5*k**2 + 25*k - 10.
-5*(k - 1)*(k + 2)*(2*k - 1)
Factor 2*w**2/3 + 8*w/3 - 264.
2*(w - 18)*(w + 22)/3
Factor -4*y**2 - 228*y + 1792.
-4*(y - 7)*(y + 64)
Let -2*h**5/11 - 34*h**4/11 - 136*h**3/11 - 200*h**2/11 - 96*h/11 = 0. Calculate h.
-12, -2, -1, 0
Solve 2*q**5/7 - 172*q**4/7 + 4028*q**3/7 - 14272*q**2/7 + 17138*q/7 - 6724/7 = 0 for q.
1, 2, 41
Let -5*v**3 - 60*v**2 - 180*v - 160 = 0. Calculate v.
-8, -2
Determine q so that 3*q**5 + 128*q**4 + 3409*q**3/3 - 14590*q**2/3 + 14444*q/3 - 4232/3 = 0.
-23, 2/3, 2
Find h such that h**2/10 - 467*h + 1090445/2 = 0.
2335
Determine g, given that 4*g**4 + 11*g**3 - 103*g**2 + 109*g - 21 = 0.
-7, 1/4, 1, 3
Factor 2*y**3 - 64*y**2/3 - 22*y/3.
2*y*(y - 11)*(3*y + 1)/3
Suppose -b**4 - 6*b**3 - 12*b**2 - 8*b = 0. What is b?
-2, 0
Let -2*m**2 + 176*m/3 + 40 = 0. Calculate m.
-2/3, 30
Factor 2*q**2/5 - 128*q + 10240.
2*(q - 160)**2/5
What is z in 2*z**3/7 - 6*z**2/7 + 8/7 = 0?
-1, 2
Factor s**4 - 23*s**3 + 34*s**2 + 168*s.
s*(s - 21)*(s - 4)*(s + 2)
Factor -10*r**4 + 26*r**3 - 8*r**2 - 8*r.
-2*r*(r - 2)*(r - 1)*(5*r + 2)
Determine x so that -5*x**4 + 45*x**3 - 35*x**2 - 225*x - 140 = 0.
-1, 4, 7
Factor 22*f**2/3 + 105*f/2 + 38/3.
(4*f + 1)*(11*f + 76)/6
Solve -4*t**2 - 3176*t - 3172 = 0 for t.
-793, -1
Solve 2*m**5/3 + 8*m**4 - 158*m**3/3 + 68*m**2 = 0 for m.
-17, 0, 2, 3
Determine t so that -5*t**4 + 5260*t**3 - 1378110*t**2 - 2772020*t - 1388645 = 0.
-1, 527
Determine s so that -2*s**5 - 5208*s**4 - 3395612*s**3 - 6775608*s**2 - 3385202*s = 0.
-1301, -1, 0
Suppose p**4/4 + 6*p**3 + 215*p**2/4 + 213*p + 315 = 0. What is p?
-7, -6, -5
Solve -4*j**5 + 4*j**4 + 68*j**3 - 84*j**2 - 288*j + 432 = 0 for j.
-3, 2, 3
Factor -2*x**3/3 + 76*x**2/3 - 850*x/3 + 2312/3.
-2*(x - 17)**2*(x - 4)/3
Factor 2*j**3/3 + 10*j**2 + 28*j/3.
2*j*(j + 1)*(j + 14)/3
Factor 2*z**2/7 - 22*z/7 - 24/7.
2*(z - 12)*(z + 1)/7
Factor s**2/6 - s/3 + 1/6.
(s - 1)**2/6
Let 12*w**3 - 57*w**2 + 84*w - 36 = 0. What is w?
3/4, 2
Let 2*y**4/15 + 16*y**3/3 + 10*y**2 - 16*y/3 - 152/15 = 0. What is y?
-38, -2, -1, 1
Let 4*w**2 + 288*w + 5184 = 0. What is w?
-36
Factor -3*q**3/2 - 2859*q**2 - 1359450*q + 2730348.
-3*(q - 2)*(q + 954)**2/2
Factor 2*x**4 - 1328*x**3 + 220440*x**2 + 5312*x - 881792.
2*(x - 332)**2*(x - 2)*(x + 2)
Determine t, given that -2*t**2 + 62*t + 64 = 0.
-1, 32
Solve -j**5/2 + 3*j**4 + 3*j**3/2 - 10*j**2 + 6*j = 0.
-2, 0, 1, 6
Factor -d**4/3 + 2*d**3 - 4*d**2 + 10*d/3 - 1.
-(d - 3)*(d - 1)**3/3
Find d such that 8*d**4 + 118*d**3 - 606*d**2 - 2448*d + 648 = 0.
-18, -3, 1/4, 6
Suppose 4*a**3 + 112*a**2 + 1012*a + 2904 = 0. What is a?
-11, -6
Factor -15*i**5 + 130*i**4 - 440*i**3 + 720*i**2 - 560*i + 160.
-5*(i - 2)**4*(3*i - 2)
Factor 4*w**3/9 + 232*w**2/9 - 476*w/9 + 80/3.
4*(w - 1)**2*(w + 60)/9
Let -2*y**3/9 + 62*y**2/9 - 560*y/9 + 392/3 = 0. Calculate y.
3, 14
Suppose -3*c**3/4 + 2751*c**2/4 + 1377*c/2 = 0. What is c?
-1, 0, 918
Suppose -42*m**3/11 - 29664*m**2/11 - 476550*m - 1495308/11 = 0. What is m?
-353, -2/7
Factor -k**2/2 + 63*k/2 - 61.
-(k - 61)*(k - 2)/2
Determine s, given that 4*s**3/11 + 873*s**2/11 + 47742*s/11 + 11881/11 = 0.
-109, -1/4
Factor -g**2/4 + 17*g/4 + 50.
-(g - 25)*(g + 8)/4
Factor -4*s**3 + 40*s**2 - 68*s + 32.
-4*(s - 8)*(s - 1)**2
Determine z so that -4*z**5 + 376*z**4 = 0.
0, 94
Find f such that f**2/4 + 123*f/4 - 31 = 0.
-124, 1
Solve 21*q**5 - 111*q**4 + 30*q**3 = 0.
0, 2/7, 5
Factor 5*f**3/2 + 255*f**2/2 + 3375*f/2 + 3125/2.
5*(f + 1)*(f + 25)**2/2
Factor i**5 + 7*i**4 - 2*i**3 - 46*i**2 + 65*i - 25.
(i - 1)**3*(i + 5)**2
Let 2*l**3/5 - 118*l**2/5 + 310*l + 5766/5 = 0. Calculate l.
-3, 31
Let -3*b**4/2 - 91*b**3/2 + 159*b**2/2 - 33*b/2 - 16 = 0. Calculate b.
-32, -1/3, 1
Determine f, given that -1960*f**5 - 7644*f**4 - 4824*f**3 + 1628*f**2 + 624*f - 144 = 0.
-3, -1, -2/5, 3/14, 2/7
Find i, given that -8*i**3/3 + 38*i**2/3 - 52*i/3 + 22/3 = 0.
1, 11/4
Suppose -4*n**2 + 348*n - 344 = 0. Calculate n.
1, 86
Factor 5*t**3 + 175*t**2.
5*t**2*(t + 35)
Factor -4*j**3 - 48*j**2 - 180*j - 216.
-4*(j + 3)**2*(j + 6)
Find s, given that 29929*s**2 - 692*s + 4 = 0.
2/173
Determine i so that -7*i**3 + 345*i**2 + 994*i - 312 = 0.
-3, 2/7, 52
Factor -2*a**2/7 - 144*a/7.
-2*a*(a + 72)/7
Suppose -k**2/2 - 90*k + 549/2 = 0. Calculate k.
-183, 3
Find x, given that 3*x**5 + 9*x**4 + 3*x**3 - 9*x**2 - 6*x = 0.
-2, -1, 0, 1
Suppose -n**4 + 96*n**3 - 367*n**2 - 96*n + 368 = 0. What is n?
-1, 1, 4, 92
Factor y**3/3 + 3*y**2 - 52*y - 340/3.
(y - 10)*(y + 2)*(y + 17)/3
Suppose -221*y**4/4 - 149*y**3/2 + 359*y**2/4 + 37*y + 3 = 0. What is y?
-2, -3/13, -2/17, 1
Factor -y**2/5 - y - 6/5.
-(y + 2)*(y + 3)/5
Determine x, given that -9*x**3/4 - 15*x**2/8 + 9*x/2 - 3/2 = 0.
-2, 1/2, 2/3
Factor 2*y**2 - 668*y + 55778.
2*(y - 167)**2
Determine i, given that i**3 + 5*i**2 + 7*i + 3 = 0.
-3, -1
Solve -4*s**4 + 28*s**3 - 48*s**2 = 0 for s.
0, 3, 4
Determine c, given that 9*c**4 + 75*c**3 - 57*c**2 - 27*c = 0.
-9, -1/3, 0, 1
Find v, given that -3*v**4 - 36*v**3 - 9*v**2 + 564*v - 756 = 0.
-9, -7, 2
Determine v, given that -4*v**2/3 - 454*v - 680/3 = 0.
-340, -1/2
Find o, given that -48*o**4 + 100*o**3 + 316*o**2 + 200*o + 32 = 0.
-1, -2/3, -1/4, 4
Factor 5*o**4 + 95*o**3 + 450*o**2 + 360*o.
5*o*(o + 1)*(o + 6)*(o + 12)
Factor -r**3 + 23*r**2 + 49*r + 25.
-(r - 25)*(r + 1)**2
Suppose x**5/5 - 38*x**4/5 = 0. What is x?
0, 38
Determine p, given that 3*p**5/7 + 18*p**4/7 + 12*p**3/7 - 18*p**2/7 - 15*p/7 = 0.
-5, -1, 0, 1
Let 14*t**5/5 - 2*t**4 - 18*t**3/5 + 2*t**2 + 4*t/5 = 0. What is t?
-1, -2/7, 0, 1
Suppose 2*x**5 - 82*x**4 - 86*x**3 + 82*x**2 + 84*x = 0. Calculate x.
-1, 0, 1, 42
Factor 3*g**4/5 - 57*g**3/5 - 3*g**2/5 + 57*g/5.
3*g*(g - 19)*(g - 1)*(g + 1)/5
Determine h so that -5*h**5 + 90*h**4 - 295*h**3 + 190*h**2 + 300*h - 280 = 0.
-1, 1, 2, 14
Suppose 3*g**2 - 1164*g + 2316 = 0. Calculate g.
2, 386
Factor y**5/2 + 3*y**4 + 3*y**3/2 - 23*y**2 - 54*y - 36.
(y - 3)*(y + 2)**3*(y + 3)/2
Factor 4*k**2/7 - 780*k + 10904/7.
4*(k - 1363)*(k - 2)/7
Factor -j**3/3 + 46*j**2/3 + 47*j/3.
-j*(j - 47)*(j + 1)/3
Suppose -9*h**5 + 78*h**4 + 1194*h**3 + 1692*h**2 - 5505*h + 2550 = 0. What is h?
-5, 2/3, 1, 17
Solve -2*k**5 - 14*k**4/3 + 590*k**3/3 + 66*k**2 = 0.
-11, -1/3, 0, 9
Let -16*w**5 - 30*w**4 + 212*w**3 + 582*w**2 + 308*w - 48 = 0. Calculate w.
-3, -2, -1, 1/8, 4
Factor j**3 - 666*j**2 + 108864*j + 677376.
(j - 336)**2*(j + 6)
Solve -4*l**3 - 1396*l**2 + 4*l + 1396 = 0.
-349, -1, 1
Suppose x**4/4 - 29*x**3/4 - 123*x**2/2 - 54*x = 0. What is x?
-6, -1, 0, 36
Let 2*q**3/15 - 34*q**2/5 - 14*q - 106/15 = 0. What is q?
-1, 53
Factor -p**4 + 35*p**3 - 186*p**2 + 356*p - 232.
-(p - 29)*(p - 2)**3
Solve 3*i**2 + 1323*i + 1320 = 0.
-440, -1
Solve 3*s**5/5 - 294*s**4/5 - 903*s**3/5 - 606*s**2/5 = 0.
-2, -1, 0, 101
Factor d**5 - 2*d**3 + d.
d*(d - 1)**2*(d + 1)**2
Determine r so that 3*r**2 + 906*r - 909 = 0.
-303, 1
Let y**5 + 42*y**4 + 41*y**3 = 0. Calculate y.
-41, -1, 0
Factor 7*k**2 + 395*k - 228.
(k + 57)*(7*k - 4)
Factor -5*a**4 - 240*a**3 - 3110*a**2 - 5520*a - 2645.
-5*(a + 1)**2*(a + 23)**2
Let 2*o**5/11 - 7*o**4/11 - 6*o**3/11 + 31*o**2/11 - 8*o/11 - 12/11 = 0. What is o?
-2, -1/2, 1, 2, 3
Factor -j**2/5 + 28*j/5.
-j*(j - 28)/5
Factor -3*m**4/8 - 87*m**3/8 - 60*m**2 + 288*m.
-3*m*(m - 3)*(m + 16)**2/8
What is o in -850*o**5/11 + 1970*o**4/11 + 14*o**3 - 1778*o**2/11 + 816*o/11 - 72/11 = 0?
-1, 2/17, 3/5, 2
Factor 28*u**4 + 48*u**3 - 128*u**2 - 192*u + 64.
4*(u - 2)*(u + 2)**2*(7*u - 2)
Find v such that -v**2/12 - 97*v/12 - 95/6 = 0.
-95, -2
Let -v**2/2 + 157*v