-6, -3, 1, 8
Factor -4*u**3 + 1472*u**2 - 133940*u - 273800.
-4*(u - 185)**2*(u + 2)
Factor -5*j**3 - 10*j**2 - 5*j.
-5*j*(j + 1)**2
Find o, given that -8192*o**3 - 131328*o**2 - 4098*o - 32 = 0.
-16, -1/64
Factor -4*g**2/9 + 520*g/9 - 508/3.
-4*(g - 127)*(g - 3)/9
What is f in f**3/4 - f**2 + f/4 + 3/2 = 0?
-1, 2, 3
Let 2*t**4/11 - 6*t**3/11 = 0. Calculate t.
0, 3
Determine w, given that -2*w**2/11 - 4*w/11 = 0.
-2, 0
What is k in -5*k**3/4 + 255*k**2/2 + 525*k/4 - 515/2 = 0?
-2, 1, 103
Factor -r**2 - 84*r - 1764.
-(r + 42)**2
Find m, given that 2*m**4/15 - 212*m**3/15 + 2302*m**2/5 - 68264*m/15 + 207368/15 = 0.
7, 46
Factor -5*c**2 + 60*c - 100.
-5*(c - 10)*(c - 2)
Find b, given that -2*b**5/7 + 136*b**4/7 - 2428*b**3/7 + 3440*b**2/7 + 14718*b/7 + 8712/7 = 0.
-1, 4, 33
Factor u**2 - 36.
(u - 6)*(u + 6)
Find i such that 4*i**4 + 324*i**3 - 1472*i**2 - 9648*i - 10880 = 0.
-85, -2, 8
Determine k so that 125*k**5 - 35525*k**4 + 2527520*k**3 - 481400*k**2 - 1607440*k - 403280 = 0.
-2/5, 1, 142
Let 4*c**4 - 212*c**3/7 + 464*c**2/7 - 208*c/7 - 192/7 = 0. What is c?
-3/7, 2, 4
Factor -32*m**5 - 144*m**4 + 78*m**3 - 10*m**2.
-2*m**2*(m + 5)*(4*m - 1)**2
Factor 12*k**4 - 652*k**3 + 208*k**2 + 432*k.
4*k*(k - 54)*(k - 1)*(3*k + 2)
Factor -4*p**4/3 + 4*p**3/3 + 100*p**2/3 - 100*p/3.
-4*p*(p - 5)*(p - 1)*(p + 5)/3
Factor -5*z**5 + 5*z**4 + 40*z**3 - 60*z**2.
-5*z**2*(z - 2)**2*(z + 3)
Factor 2*n**3 + 22*n**2 + 62*n + 42.
2*(n + 1)*(n + 3)*(n + 7)
Determine l, given that -20*l**5 + 100*l**4 + 295*l**3 - 70*l**2 - 235*l - 70 = 0.
-2, -1/2, 1, 7
Let -9*n**5 + 186*n**4 + 753*n**3 - 762*n**2 - 744*n + 576 = 0. What is n?
-4, -1, 2/3, 1, 24
Determine q, given that -q**3/2 - 206*q**2 + 827*q/2 - 207 = 0.
-414, 1
Factor -3*l**2 + 7*l - 2.
-(l - 2)*(3*l - 1)
Factor 4*y**3/7 - 2288*y**2/7 + 329460*y/7 - 649800/7.
4*(y - 285)**2*(y - 2)/7
Solve -m**3/7 + 3*m**2/7 + 4*m = 0 for m.
-4, 0, 7
Let -2*b**3/3 + 590*b**2 + 5324*b/3 + 1184 = 0. What is b?
-2, -1, 888
Factor u**4 + 82*u**3 - 83*u**2.
u**2*(u - 1)*(u + 83)
Factor -5*a**4 + 225*a**3 + 240*a**2 - 460*a.
-5*a*(a - 46)*(a - 1)*(a + 2)
Factor t**2 - 78*t + 77.
(t - 77)*(t - 1)
Factor -2*o**3/5 - 14*o**2/5 + 34*o/5 - 18/5.
-2*(o - 1)**2*(o + 9)/5
Factor 4*u**2 + 6052*u + 6048.
4*(u + 1)*(u + 1512)
Let -5*w**3 - 575*w**2 - 16240*w + 16820 = 0. What is w?
-58, 1
Factor w**3/3 + 6*w**2 - 19*w/3.
w*(w - 1)*(w + 19)/3
Suppose j**3/5 + 834*j**2/5 + 231852*j/5 + 21484952/5 = 0. Calculate j.
-278
Find x, given that -5*x**4 + 20*x**3 - 25*x**2 + 10*x = 0.
0, 1, 2
Factor 2*p**4 + 812*p**3 + 1616*p**2.
2*p**2*(p + 2)*(p + 404)
Let 2*n**3 + 20*n**2 + 66*n + 72 = 0. What is n?
-4, -3
Factor -2*r**2/17 - 56*r/17 - 104/17.
-2*(r + 2)*(r + 26)/17
Determine i so that -3*i**3/8 + 9*i**2/4 + 81*i/8 = 0.
-3, 0, 9
Solve -18*l**5 + 519*l**4 - 4412*l**3 + 9775*l**2 - 7748*l + 2028 = 0.
2/3, 3/2, 13
Factor b**2/2 - 1743*b + 3038049/2.
(b - 1743)**2/2
Factor -z**4 + 17*z**3 - 33*z**2 - 121*z - 70.
-(z - 14)*(z - 5)*(z + 1)**2
Find i, given that 3*i**3/5 - 897*i**2/5 + 67497*i/5 - 66603/5 = 0.
1, 149
Factor -3*f**2/5 + 6*f/5.
-3*f*(f - 2)/5
What is f in f**4 - 5*f**3 + 2*f**2 + 8*f = 0?
-1, 0, 2, 4
Factor -4*j**4 + 388*j**3 - 8808*j**2 - 29200*j - 20000.
-4*(j - 50)**2*(j + 1)*(j + 2)
Suppose -5*l**2 - 2560*l - 327680 = 0. What is l?
-256
Factor 4*s**2 - 2220*s.
4*s*(s - 555)
Factor 22*u**2 + 614*u - 56.
2*(u + 28)*(11*u - 1)
Suppose -3*h**3/8 + 21*h**2/8 - 21*h/4 + 3 = 0. Calculate h.
1, 2, 4
Suppose -3*f**3 - 156*f**2 - 1104*f - 2112 = 0. What is f?
-44, -4
Factor -162*s**2/7 - 36*s/7 - 2/7.
-2*(9*s + 1)**2/7
Solve 12*b**5 + 21*b**4 + 6*b**3 - 3*b**2 = 0.
-1, 0, 1/4
Suppose -3*n**2 - 207*n - 204 = 0. What is n?
-68, -1
Factor 12*r**3 - 112*r**2 - 80*r.
4*r*(r - 10)*(3*r + 2)
Factor -2*g**3 + 494*g**2 - 30750*g + 30258.
-2*(g - 123)**2*(g - 1)
Factor d**3 + 3135*d**2 + 3276075*d + 1141166125.
(d + 1045)**3
Factor 75*b**3 + 180*b**2 + 63*b + 6.
3*(b + 2)*(5*b + 1)**2
Find k such that k**3 + 252*k**2 + 18468*k + 311904 = 0.
-114, -24
Factor 2*n**2 + 34*n + 144.
2*(n + 8)*(n + 9)
Solve 10*u**5 - 58*u**4 + 608*u**3/5 - 112*u**2 + 224*u/5 - 32/5 = 0.
2/5, 1, 2
Factor 3*d**3 - 633*d**2 - 1275*d - 639.
3*(d - 213)*(d + 1)**2
What is l in -3*l**5 - 108*l**4 - 726*l**3 - 1560*l**2 - 1359*l - 420 = 0?
-28, -5, -1
Determine c, given that -c**2/5 - 5*c + 26/5 = 0.
-26, 1
Factor -3*s**5 - 243*s**4 - 942*s**3 - 1398*s**2 - 927*s - 231.
-3*(s + 1)**4*(s + 77)
Determine k so that -21*k**3/2 + 21102*k**2 - 21198465*k/2 - 3030075 = 0.
-2/7, 1005
Let -j**5/5 - 6*j**4/5 - 9*j**3/5 - 4*j**2/5 = 0. What is j?
-4, -1, 0
Determine g so that 9*g**5/7 - 123*g**4/7 + 186*g**3/7 - 72*g**2/7 = 0.
0, 2/3, 1, 12
Factor -p**2/3 - 55*p/3 + 100.
-(p - 5)*(p + 60)/3
Factor 2*o**2 - 106*o - 220.
2*(o - 55)*(o + 2)
Factor p**2/10 + 9*p/2 + 117/5.
(p + 6)*(p + 39)/10
Determine y so that 3*y**3 - 567*y**2 + 35721*y - 750141 = 0.
63
Find w, given that -3*w**4/8 + 15*w**3/4 + 159*w**2/8 + 63*w/4 = 0.
-3, -1, 0, 14
Determine v, given that 3*v**4/4 + 3*v**3 - 3*v**2/4 - 3*v = 0.
-4, -1, 0, 1
Suppose 2*l**2 + 24*l - 26 = 0. What is l?
-13, 1
Factor 24*g**2 + 20*g - 16.
4*(2*g - 1)*(3*g + 4)
Find k, given that 100*k**5 - 286*k**4/3 - 1520*k**3/3 - 964*k**2/3 - 4*k + 6 = 0.
-1, -1/6, 3/25, 3
Factor 2*k**3 - 456*k**2 + 27720*k - 193600.
2*(k - 110)**2*(k - 8)
Factor -3*u**2 - 78*u - 432.
-3*(u + 8)*(u + 18)
What is d in 2*d**2/9 - 20*d/9 - 22/9 = 0?
-1, 11
Factor 5*t**4 - 275*t**3 + 4230*t**2 - 13780*t + 12760.
5*(t - 29)*(t - 22)*(t - 2)**2
Factor 6*q**2 - 128*q - 230.
2*(q - 23)*(3*q + 5)
Determine s so that 5*s**4/4 - 177*s**3/4 + 755*s**2/2 + 261*s - 162 = 0.
-1, 2/5, 18
Factor o**4/3 - o**3/3 - 5*o**2/3 - o.
o*(o - 3)*(o + 1)**2/3
Let -c**4 - 11*c**3 - 11*c**2 + 59*c - 36 = 0. What is c?
-9, -4, 1
Factor -u**2/4 + 635*u - 403225.
-(u - 1270)**2/4
Factor -5*x**2/2 - 195*x/2 - 425.
-5*(x + 5)*(x + 34)/2
Determine g, given that 3*g**4 - 36*g**3 - 9*g**2 + 102*g + 72 = 0.
-1, 2, 12
Suppose -i**2/5 - 18*i/5 + 88/5 = 0. What is i?
-22, 4
Factor -g**5 - 5*g**4 - 9*g**3 - 7*g**2 - 2*g.
-g*(g + 1)**3*(g + 2)
Suppose -3*b**2/7 - 951*b/7 = 0. What is b?
-317, 0
Let 2*d**2 - 136*d - 730 = 0. What is d?
-5, 73
Suppose -3*q**4/4 + 39*q**3/4 + 3*q**2/4 - 39*q/4 = 0. What is q?
-1, 0, 1, 13
What is o in o**2 - 4*o - 5 = 0?
-1, 5
Determine s so that 2*s**3 - 870*s**2 = 0.
0, 435
Determine t so that -5*t**4 - 20*t**3 + 545*t**2 + 3080*t = 0.
-8, -7, 0, 11
Factor a**2/2 + 31*a/2 - 51.
(a - 3)*(a + 34)/2
Determine v, given that 2*v**5/3 - 110*v**4/3 + 212*v**3/3 + 4*v**2/3 - 214*v/3 + 106/3 = 0.
-1, 1, 53
Factor i**4/5 - 4*i**3 - 12*i**2/5 + 224*i + 3136/5.
(i - 14)**2*(i + 4)**2/5
Solve -7*b**3/5 + 34*b**2 - 48*b/5 = 0 for b.
0, 2/7, 24
Let -3*g**4 + 30*g**3 + 9*g**2 - 420*g - 588 = 0. Calculate g.
-2, 7
Solve -b**4 - 133*b**3 + 269*b**2 - 135*b = 0.
-135, 0, 1
Let 21*n**2/5 + 1158*n - 1656/5 = 0. What is n?
-276, 2/7
Factor -65*a**2 - 205*a - 30.
-5*(a + 3)*(13*a + 2)
Suppose -31*y**2/2 - 16*y - 1/2 = 0. What is y?
-1, -1/31
Let -c**3/5 - 12*c**2/5 - 29*c/5 - 18/5 = 0. Calculate c.
-9, -2, -1
Determine h so that 5*h**3 - 30*h**2 - 80*h = 0.
-2, 0, 8
Suppose 4*o**2 - 152*o + 1044 = 0. Calculate o.
9, 29
Determine g, given that 2*g**5 + 6*g**4 + 4*g**3 = 0.
-2, -1, 0
Factor 2*u**2/7 + 3184*u/7 + 6360/7.
2*(u + 2)*(u + 1590)/7
Let 2*a**5/9 - 14*a**4/9 + 16*a**3/9 + 32*a**2/9 = 0. Calculate a.
-1, 0, 4
Solve -2*q**5/3 + 70*q**4/3 - 334*q**3/3 - 406*q**2/3 = 0.
-1, 0, 7, 29
Factor 4*y**3/3 - 348*y**2 - 3160*y/3 - 704.
4*(y - 264)*(y + 1)*(y + 2)/3
Factor 4*h**4 - 7*h**3 - 82*h**2 - 116*h - 24.
(h - 6)*(h + 2)**2*(4*h + 1)
Suppose -4*c**2 + 16796*c - 16792 = 0. What is c?
1, 4198
Factor -2*x**5 + 50*x**4 - 304*x**3 + 544*x**2.
-2*x**2*(x - 17)*(x - 4)**2
Factor -2*k**5/5 - 8*k**4/5 + 32*k**2/5 + 32*k/5.
-2*k*(k - 2)*(k + 2)**3/5
Find r, given that -r**5 - 3*r**4 + 32*r**3 - 60*r**2 + 32*r = 0.
-8, 0, 1, 2
What is p in -4*p**4/9 + 104*p**3/9 - 84*p**2 + 96*p + 192 = 0?
-1, 3, 12
Find m, given that 3*m**2/4 - 6*m + 21/4 = 0.
1, 7
Determine h, given that -2*h**4/5 + 50*h**3 + 1286*h**2/5 + 1814*h/5 + 156 = 0.
-3, -1, 130
Let 2*q**5/21 + 22*q**4/21 + 86*q**3/21 + 22*q**2/3 + 128*q/21 + 40/21 = 0. Calcul