-(g - 16)*(g + 1)/3
Suppose -n**4/4 + 5*n**3/4 + 33*n**2/2 - 117*n + 162 = 0. Calculate n.
-9, 2, 6
Factor 3*a**3 + 379*a**2 - 255*a - 127.
(a - 1)*(a + 127)*(3*a + 1)
Let 28*l**5 + 64*l**4 + 44*l**3 + 8*l**2 = 0. What is l?
-1, -2/7, 0
Factor 3*l**4/2 - 21*l**3/2 - 39*l**2/2 + 129*l/2 - 36.
3*(l - 8)*(l - 1)**2*(l + 3)/2
Determine b, given that 2*b**3 - 776*b**2 + 75272*b = 0.
0, 194
Factor r**2/2 + 20*r + 39/2.
(r + 1)*(r + 39)/2
Factor -4*r**5 - 24*r**4 - 32*r**3.
-4*r**3*(r + 2)*(r + 4)
Factor -c**5 - 20*c**4 - 68*c**3 - 64*c**2.
-c**2*(c + 2)**2*(c + 16)
Factor -32*n**3 + 10768*n**2 + 5390*n + 674.
-2*(n - 337)*(4*n + 1)**2
Suppose 2*p**5/11 - 92*p**4/11 + 16*p**3 + 4*p**2/11 - 178*p/11 + 8 = 0. What is p?
-1, 1, 44
Let 5*n**5 + 45*n**4 - 45*n**3 - 385*n**2 + 240*n + 540 = 0. Calculate n.
-9, -3, -1, 2
Suppose -o**2 + 3245*o = 0. Calculate o.
0, 3245
Let -2*d**3 - 6*d**2 + 8 = 0. What is d?
-2, 1
Factor 2523*m**2/5 + 6612*m/5 + 4332/5.
3*(29*m + 38)**2/5
Solve -33*u**5 + 6*u**4 = 0 for u.
0, 2/11
Factor 73*v**3/5 - 15*v**2 - 144*v/5 + 4/5.
(v - 2)*(v + 1)*(73*v - 2)/5
Factor s**2 - 830*s + 172225.
(s - 415)**2
Determine z, given that 12*z**3/7 + 76*z**2/7 + 116*z/7 + 52/7 = 0.
-13/3, -1
Let 3*y**3/2 - 57*y**2 - 237*y/2 - 60 = 0. Calculate y.
-1, 40
Factor 3*d**4/7 - 18*d**2/7 - 24*d/7 - 9/7.
3*(d - 3)*(d + 1)**3/7
Determine y so that -4*y**2 - 348*y - 6048 = 0.
-63, -24
Factor n**5/2 - 3*n**4/2 - 9*n**3/2 + 23*n**2/2 - 6*n.
n*(n - 4)*(n - 1)**2*(n + 3)/2
Factor 2*m**3/3 + 10*m**2/9.
2*m**2*(3*m + 5)/9
Find d, given that d**3/4 + 25*d**2/4 - d/4 - 25/4 = 0.
-25, -1, 1
Factor 4*w**5 + 8*w**4 - 12*w**3 - 32*w**2 - 16*w.
4*w*(w - 2)*(w + 1)**2*(w + 2)
Factor p**4/5 - 2*p**3 + 17*p**2/5 - 8*p/5.
p*(p - 8)*(p - 1)**2/5
Determine x so that 30*x**4/13 + 68*x**3/13 - 2*x**2/13 - 32*x/13 + 8/13 = 0.
-2, -1, 1/3, 2/5
Determine k so that k**3/6 + 19*k**2/6 - 10*k/3 = 0.
-20, 0, 1
Factor v**3 - 13*v**2 + 12*v.
v*(v - 12)*(v - 1)
Find d, given that d**5 + 55*d**4 - 230*d**3 + 350*d**2 - 235*d + 59 = 0.
-59, 1
Let -3*z**3 - 93*z**2 - 960*z - 3300 = 0. What is z?
-11, -10
Factor z**3/5 - 109*z**2/5 + 3959*z/5 - 9583.
(z - 37)**2*(z - 35)/5
Factor 3*l**2/8 - 2511*l + 4203414.
3*(l - 3348)**2/8
Factor -2*l**3 + 134*l**2 - 120*l - 792.
-2*(l - 66)*(l - 3)*(l + 2)
Find v such that 12*v**4 + 584*v**3 + 8700*v**2 + 37296*v + 21168 = 0.
-21, -6, -2/3
Factor 4*w**3 - 144*w**2 + 960*w - 1792.
4*(w - 28)*(w - 4)**2
Let -2*v**4/3 - 26*v**3/3 - 14*v**2 + 26*v/3 + 44/3 = 0. What is v?
-11, -2, -1, 1
Factor 2*f**3 + 8*f**2 + 6*f.
2*f*(f + 1)*(f + 3)
Factor -t**5 - 9*t**4 + 64*t**3 - 84*t**2.
-t**2*(t - 3)*(t - 2)*(t + 14)
Determine q, given that 3*q**3 - 6*q**2 = 0.
0, 2
Factor a**4 + 42*a**3 + 172*a**2 - 474*a + 259.
(a - 1)**2*(a + 7)*(a + 37)
Factor 4*v**4 + 424*v**3 + 1221*v**2 - 1541*v + 412.
(v + 4)*(v + 103)*(2*v - 1)**2
Find o, given that 3*o**3/7 + 15*o**2/7 + 3*o + 9/7 = 0.
-3, -1
Factor -2*o**2/11 - 14*o/11 + 36/11.
-2*(o - 2)*(o + 9)/11
Let -2*i**2/3 + 186*i = 0. Calculate i.
0, 279
Factor 4*a**2/5 + 97*a/5 + 24/5.
(a + 24)*(4*a + 1)/5
Let -2*f**5 + 11*f**4 - 21*f**3 + 16*f**2 - 4*f = 0. What is f?
0, 1/2, 1, 2
Let -d**3/4 + d = 0. What is d?
-2, 0, 2
Factor -2*g**2 + 90*g + 848.
-2*(g - 53)*(g + 8)
Solve -s**2/5 + 13*s/5 - 8 = 0 for s.
5, 8
Factor 3*y**4 - 93*y**3 - 111*y**2 + 489*y - 288.
3*(y - 32)*(y - 1)**2*(y + 3)
Factor 3*d**3/5 - 9*d**2/5 + 9*d/5 - 3/5.
3*(d - 1)**3/5
Find i such that -5*i**3 - 1075*i**2 - 8360*i - 16560 = 0.
-207, -4
Factor 3*l**3 - 2772*l**2 + 853776*l - 87654336.
3*(l - 308)**3
Determine j so that 2*j**3 - j**2/3 - 2*j + 1/3 = 0.
-1, 1/6, 1
Find v such that 5*v**4 - 75*v**3 + 135*v**2 - 65*v = 0.
0, 1, 13
Solve 3*d**4/4 - 16*d**3 + 21*d**2/4 = 0.
0, 1/3, 21
Suppose 3*z**3/4 - 9*z**2/2 - 21*z/4 = 0. Calculate z.
-1, 0, 7
Determine m, given that -2*m**3 - 98*m**2 + 202*m - 102 = 0.
-51, 1
Factor -3*o**2 - 9315*o.
-3*o*(o + 3105)
Let -2*a**4/19 - 28*a**3/19 - 88*a**2/19 - 80*a/19 = 0. Calculate a.
-10, -2, 0
Factor u**3/6 + 19*u**2/6 + 19*u + 36.
(u + 4)*(u + 6)*(u + 9)/6
Suppose 2*q**4 - 28*q**3 + 112*q**2 - 68*q - 210 = 0. Calculate q.
-1, 3, 5, 7
Determine d so that 2*d**3/3 - 1718*d**2/3 + 5140*d/3 - 3424/3 = 0.
1, 2, 856
Factor 5*b**3 + 10*b**2.
5*b**2*(b + 2)
Determine w so that -4*w**3/3 + 4*w**2/3 + 128*w - 528 = 0.
-11, 6
Determine w so that 2*w**3/3 - 208*w**2/3 - 422*w/3 - 212/3 = 0.
-1, 106
Suppose 5*p**5 - 35*p**4 + 55*p**3 - 25*p**2 = 0. Calculate p.
0, 1, 5
Factor 4*x**3 + 4*x**2.
4*x**2*(x + 1)
Factor 2*o**4/3 + 4*o**3/3 + 2*o**2/3.
2*o**2*(o + 1)**2/3
Factor -5*h**2 + 2470*h - 305045.
-5*(h - 247)**2
Factor -i**2/6 - 99*i/2 - 586/3.
-(i + 4)*(i + 293)/6
Factor 3*t**3/4 + 63*t**2/4 + 405*t/4 + 729/4.
3*(t + 3)*(t + 9)**2/4
Factor 5*v**3 + 20*v**2 - 35*v - 50.
5*(v - 2)*(v + 1)*(v + 5)
Suppose 4*v**4/5 + 64*v**3/5 + 312*v**2/5 + 448*v/5 + 196/5 = 0. Calculate v.
-7, -1
Factor 3*f**4 - 222*f**3 + 4107*f**2.
3*f**2*(f - 37)**2
Let -2*c**2 - 611*c - 305 = 0. What is c?
-305, -1/2
Suppose -3*d**4 - 2427*d**3 + 14634*d**2 - 29316*d + 19560 = 0. Calculate d.
-815, 2
Factor -52*i**5/5 + 164*i**4/5 - 36*i**3 + 76*i**2/5 - 8*i/5.
-4*i*(i - 1)**3*(13*i - 2)/5
Determine c, given that -2*c**4 + 32*c**3 - 2048*c + 8192 = 0.
-8, 8
Suppose 2*y**3 + 254*y**2 + 8190*y + 7938 = 0. Calculate y.
-63, -1
Factor 5*a**4 + 10730*a**3 + 5767365*a**2 + 11502560*a + 5745920.
5*(a + 1)**2*(a + 1072)**2
Let 7*o**5/2 + 10*o**4 - 37*o**3/2 - 91*o**2 - 102*o - 36 = 0. What is o?
-2, -1, -6/7, 3
Factor n**5 - 37*n**4 + 456*n**3 - 1988*n**2 + 1568*n.
n*(n - 14)**2*(n - 8)*(n - 1)
Suppose 2*n**5 - 154*n**4/5 + 48*n**3 + 968*n**2/5 - 416*n/5 = 0. Calculate n.
-2, 0, 2/5, 4, 13
Suppose u**4/3 - 7*u**3 - 47*u**2 + 3349*u/3 + 1156 = 0. What is u?
-12, -1, 17
Factor -2*b**2 - 598*b.
-2*b*(b + 299)
Find n such that 35*n**5 + 430*n**4 - 55*n**3 - 6770*n**2 - 8080*n - 1760 = 0.
-11, -4, -1, -2/7, 4
Factor -k**3/4 + 87*k**2/4 - 171*k/4 + 85/4.
-(k - 85)*(k - 1)**2/4
Factor 2*o**3/15 - 1118*o**2/15 + 668*o/3 - 2224/15.
2*(o - 556)*(o - 2)*(o - 1)/15
Factor -w**5 - 2*w**4 + 12*w**3 + 40*w**2 + 32*w.
-w*(w - 4)*(w + 2)**3
Solve 4*b**2 + 1384*b + 1380 = 0 for b.
-345, -1
Factor -2*m**5 + 4*m**4 + 12*m**3 - 8*m**2 - 26*m - 12.
-2*(m - 3)*(m - 2)*(m + 1)**3
Factor -h**4 + 272*h**3 - 18496*h**2.
-h**2*(h - 136)**2
Determine v, given that v**4/11 - 3*v**3/11 - 5*v**2 - 141*v/11 - 90/11 = 0.
-3, -1, 10
Factor 35*i**3 - 1215*i**2 + 3010*i + 960.
5*(i - 32)*(i - 3)*(7*i + 2)
Factor m**3/6 - 15*m**2/2 + 34*m - 80/3.
(m - 40)*(m - 4)*(m - 1)/6
Determine t, given that t**3/6 - 37*t**2/6 + 140*t/3 + 200 = 0.
-3, 20
Determine p so that p**2/4 + 79*p/2 + 6241/4 = 0.
-79
Factor -3*f**4 - 6*f**3 - 3*f**2.
-3*f**2*(f + 1)**2
Find i such that 4*i**5 - 4*i**4 - 72*i**3 - 56*i**2 + 68*i + 60 = 0.
-3, -1, 1, 5
Solve -2*a**2 - 640*a - 51200 = 0.
-160
Factor -8712*x**3/7 + 9372*x**2/7 + 906*x/7 + 3.
-3*(6*x - 7)*(22*x + 1)**2/7
Factor -2*w**3/11 + 18*w**2 - 4998*w/11 + 4802/11.
-2*(w - 49)**2*(w - 1)/11
Factor r**4/2 + 5*r**3/2 - 21*r**2/2 + 23*r/2 - 4.
(r - 1)**3*(r + 8)/2
Factor -4*k**5 + 104*k**4 - 772*k**3 + 1248*k**2 - 576*k.
-4*k*(k - 12)**2*(k - 1)**2
Determine p so that -4*p**4 - 20*p**3 + 8*p**2 + 96*p = 0.
-4, -3, 0, 2
Factor 5*m**5 - 295*m**4 + 6530*m**3 - 67550*m**2 + 330505*m - 619115.
5*(m - 19)**2*(m - 7)**3
What is u in u**5/3 - 13*u**4/3 + 61*u**3/3 - 127*u**2/3 + 118*u/3 - 40/3 = 0?
1, 2, 4, 5
Factor -2*a**2/13 + 158*a/13 - 600/13.
-2*(a - 75)*(a - 4)/13
Factor -3*w**2 - 42*w + 441.
-3*(w - 7)*(w + 21)
Suppose 375*m**4/7 + 4050*m**3/7 - 5220*m**2/7 + 2136*m/7 - 288/7 = 0. What is m?
-12, 2/5
Factor -3*x**3/2 + 3*x**2 + 9*x/2.
-3*x*(x - 3)*(x + 1)/2
Determine y so that -2*y**4/11 + 24*y**3/11 - 96*y**2/11 + 128*y/11 = 0.
0, 4
Let -4*l**3 - 208*l**2 - 2700*l = 0. What is l?
-27, -25, 0
Factor -v**3 + 18*v**2 - 45*v.
-v*(v - 15)*(v - 3)
Factor -10*m**4/7 - 66*m**3/7 + 4*m**2.
-2*m**2*(m + 7)*(5*m - 2)/7
Determine c so that -4*c**5/3 + 212*c**4/3 - 188*c**3/3 - 1028*c**2/3 - 208*c = 0.
-1, 0, 3, 52
What is n in 5*n**3 + 395*n**2 - 400*n = 0?
-80, 0, 1
Determine d so that 2*d**2/11 - 134*d/11 + 504/11 = 0.
4, 63
Let 2*b**4/9 + 124*b**3/9 + 40*b**2/3 - 124*b/9 - 122/9 