(d - 20)*(d - 2)*(d + 9)
Factor -q**4/6 - 15*q**3/2 - 72*q**2 - 198*q.
-q*(q + 6)**2*(q + 33)/6
Solve q**3 - 25*q**2 = 0 for q.
0, 25
Suppose -5*g**4 + 96*g**3 - 269*g**2 + 210*g - 32 = 0. What is g?
1/5, 1, 2, 16
Factor -z**4 - 12*z**3 + 77*z**2 - 132*z + 68.
-(z - 2)**2*(z - 1)*(z + 17)
What is o in -45*o**5 + 300*o**4 - 410*o**3 + 180*o**2 - 25*o = 0?
0, 1/3, 1, 5
Suppose 108*c**5/11 + 942*c**4/11 + 2796*c**3/11 + 3384*c**2/11 + 1488*c/11 + 192/11 = 0. Calculate c.
-4, -2, -1/2, -2/9
Let -3*c**2/2 - 78*c = 0. What is c?
-52, 0
Solve -60*q**4 - 8168*q**3 - 270188*q**2 + 535440*q + 76176 = 0 for q.
-69, -2/15, 2
Solve i**3/8 - 19*i**2/4 - 259*i/8 - 55/2 = 0 for i.
-5, -1, 44
Suppose -2*u**2 + 960*u - 1912 = 0. What is u?
2, 478
Suppose -2*r**4/11 + 180*r**3/11 + 382*r**2/11 - 1296*r/11 + 736/11 = 0. What is r?
-4, 1, 92
Factor 2*t**2/9 - 8/9.
2*(t - 2)*(t + 2)/9
Find m such that m**3 - 78*m**2 + 2028*m - 17576 = 0.
26
Suppose -9*r**5/5 + 12*r**4/5 + 24*r**3/5 - 54*r**2/5 + 33*r/5 - 6/5 = 0. What is r?
-2, 1/3, 1
Determine b, given that 3*b**2 + 1800*b + 1797 = 0.
-599, -1
Suppose -5*m**2 + 30*m - 25 = 0. Calculate m.
1, 5
Suppose 3*r**3 - 609*r**2 - 1230*r = 0. Calculate r.
-2, 0, 205
Solve -2*h**4 - 22*h**3 - 18*h**2 + 22*h + 20 = 0.
-10, -1, 1
Solve -5*d**3/2 - 12175*d**2/2 - 3702720*d + 3708810 = 0.
-1218, 1
Let -5*v**2 + 1215*v - 2410 = 0. Calculate v.
2, 241
Let -d**5/2 + 2*d**3 = 0. Calculate d.
-2, 0, 2
Factor 5*r**5 - 55*r**4 + 140*r**3.
5*r**3*(r - 7)*(r - 4)
Solve 5*n**2 + 85*n - 1350 = 0.
-27, 10
Find y, given that 3*y**3/5 - 207*y**2/5 + 3672*y/5 - 3468/5 = 0.
1, 34
Find z such that -z**4 + 16*z**3 + 57*z**2 = 0.
-3, 0, 19
Factor 325*h**2/2 - 1301*h + 8.
(h - 8)*(325*h - 2)/2
Suppose -5*s**4 - 140*s**3 - 110*s**2 + 23700*s + 160875 = 0. What is s?
-15, -11, 13
Determine j so that j**4/7 - 52*j**3/7 - 223*j**2/7 - 62*j/7 + 48 = 0.
-3, -2, 1, 56
Suppose -4*j**5 + 26*j**4 + 18*j**3 - 26*j**2 - 14*j = 0. Calculate j.
-1, -1/2, 0, 1, 7
What is n in -6*n**2/7 - n + 10/7 = 0?
-2, 5/6
Suppose 2*j**2/13 + 932*j/13 + 108578/13 = 0. Calculate j.
-233
Factor 5*p**3 - 5*p**2.
5*p**2*(p - 1)
Factor -k**2/4 + 174*k - 30276.
-(k - 348)**2/4
Factor 2*a**3/9 + 104*a**2/9 + 200*a/9.
2*a*(a + 2)*(a + 50)/9
Suppose -k**2/3 - 368*k/3 - 33856/3 = 0. What is k?
-184
Find r such that 2*r**5 - 102*r**4 + 458*r**3 + 102*r**2 - 460*r = 0.
-1, 0, 1, 5, 46
Factor 12*n**3 - 21*n**2 - 426*n - 105.
3*(n - 7)*(n + 5)*(4*n + 1)
Factor 4*g**3 - 20*g**2 - 88*g + 224.
4*(g - 7)*(g - 2)*(g + 4)
Find s, given that -663255*s**5 - 5267025*s**4 - 10300725*s**3 + 618125*s**2 - 12200*s + 80 = 0.
-4, 1/51
Factor -3*g**3 + 531*g**2 - 31329*g + 616137.
-3*(g - 59)**3
Factor 9*j**5 + 201*j**4 + 1155*j**3 + 363*j**2.
3*j**2*(j + 11)**2*(3*j + 1)
Factor -9*v**4 + 38*v**3 - 53*v**2 + 28*v - 4.
-(v - 2)*(v - 1)**2*(9*v - 2)
Let u**3/5 - 2*u**2/5 - 39*u/5 - 72/5 = 0. Calculate u.
-3, 8
Factor -5*g**3 + 2950*g**2 - 429165*g - 1764180.
-5*(g - 297)**2*(g + 4)
Factor -16*f**2 + 1316*f + 996.
-4*(f - 83)*(4*f + 3)
Suppose 2*n**2 - 2*n - 12 = 0. What is n?
-2, 3
Factor r**5/2 - 7*r**4/2 + 15*r**3/2 - 13*r**2/2 + 2*r.
r*(r - 4)*(r - 1)**3/2
Factor -o**5 + 82*o**4 - 1681*o**3.
-o**3*(o - 41)**2
Solve -5*k**4/2 - 315*k**3/4 + 85*k**2/2 + 315*k/4 - 40 = 0.
-32, -1, 1/2, 1
Factor 2*b**3/7 - 76*b**2/7 + 394*b/7 - 320/7.
2*(b - 32)*(b - 5)*(b - 1)/7
Solve 5*d**2 - 305*d + 1400 = 0 for d.
5, 56
Determine l, given that -2*l**2 + 42*l - 108 = 0.
3, 18
Factor -44*f**2/3 + 58*f + 8/3.
-2*(f - 4)*(22*f + 1)/3
Let -18*g**5/11 + 3910*g**4/11 - 291928*g**3/11 + 8090880*g**2/11 - 45001600*g/11 + 9604000/11 = 0. What is g?
2/9, 7, 70
Find w such that -2*w**3 - 290*w**2 - 10656*w - 10368 = 0.
-72, -1
Factor -4*b**2 + 328*b + 2880.
-4*(b - 90)*(b + 8)
Suppose 2*q**5 - 14*q**4/3 - 6*q**3 + 14*q**2/3 + 4*q = 0. What is q?
-1, -2/3, 0, 1, 3
Factor 3*d**3/2 - 2907*d**2/2.
3*d**2*(d - 969)/2
Determine p so that 2*p**3 - 228*p**2 + 670*p - 444 = 0.
1, 2, 111
What is a in -4*a**2/3 + 4*a - 8/3 = 0?
1, 2
Factor 5*g**2/2 + 35480*g + 125883040.
5*(g + 7096)**2/2
Factor 3*x**2 - 54*x + 231.
3*(x - 11)*(x - 7)
Determine d so that 5*d**3 + 47*d**2 + 58*d + 16 = 0.
-8, -1, -2/5
Determine s so that -s**4/6 + 5*s**3/3 - 16*s**2/3 + 16*s/3 = 0.
0, 2, 4
Factor 2*s**3/7 + 38*s**2/7.
2*s**2*(s + 19)/7
Factor -4*h**2/3 + 8*h/3 + 20.
-4*(h - 5)*(h + 3)/3
Factor 2*i**4/5 + 2*i**3/5 - 16*i**2/5 - 24*i/5.
2*i*(i - 3)*(i + 2)**2/5
Factor -v**4/5 + 12*v**3/5 - 54*v**2/5 + 108*v/5 - 81/5.
-(v - 3)**4/5
Determine x so that -56*x**5/9 + 46*x**4/3 - 82*x**3/9 - 22*x**2/9 + 2*x + 4/9 = 0.
-2/7, -1/4, 1
Factor 4*w**4 - 216*w**3 + 2692*w**2 + 6048*w + 3136.
4*(w - 28)**2*(w + 1)**2
Factor 5*t**5 - 45*t**4 + 100*t**3 - 60*t**2.
5*t**2*(t - 6)*(t - 2)*(t - 1)
Suppose -z**4/6 - 25*z**3/6 + z**2/2 + 77*z/6 + 25/3 = 0. Calculate z.
-25, -1, 2
Factor -2*k**2/9 + 34*k/3 + 212/9.
-2*(k - 53)*(k + 2)/9
Let -4*g**2 - 168*g - 1764 = 0. Calculate g.
-21
Find r, given that 3*r**3 - 246*r**2 + 4788*r + 10584 = 0.
-2, 42
Let -l**5 + 105*l**4 - 2808*l**3 + 2704*l**2 = 0. What is l?
0, 1, 52
Determine c, given that -2*c**4/17 - 54*c**3/17 + 478*c**2/17 + 54*c/17 - 28 = 0.
-34, -1, 1, 7
Factor -4*n**4 + 56*n**3 - 196*n**2.
-4*n**2*(n - 7)**2
Find u such that -5*u**3 + 365*u + 360 = 0.
-8, -1, 9
Factor 566*j**3/3 - 1136*j**2/3 + 574*j/3 - 4/3.
2*(j - 1)**2*(283*j - 2)/3
Find k, given that -7*k**5/2 + k**4 + 91*k**3/2 + 29*k**2 - 12*k = 0.
-3, -1, 0, 2/7, 4
Factor -t**2/4 + 103*t/2 + 104.
-(t - 208)*(t + 2)/4
What is j in 2*j**2 - 70*j + 192 = 0?
3, 32
Determine i so that -i**5/4 - 21*i**4/4 + 49*i**3/4 + 69*i**2/4 = 0.
-23, -1, 0, 3
Factor b**3 - 6*b**2 + 5*b + 12.
(b - 4)*(b - 3)*(b + 1)
Factor 2*v**2/21 + 164*v/7.
2*v*(v + 246)/21
Factor -5*q**3 + 1235*q**2 - 76875*q + 75645.
-5*(q - 123)**2*(q - 1)
Factor -5*x**5 - 10*x**4 + 15*x**3 + 20*x**2 - 20*x.
-5*x*(x - 1)**2*(x + 2)**2
Factor l**4/2 + 16*l**3 + 106*l**2 + 248*l + 192.
(l + 2)**2*(l + 4)*(l + 24)/2
Factor -2*d**4 + 398*d**3 - 19600*d**2 - 20000*d.
-2*d*(d - 100)**2*(d + 1)
Solve 25*n**5 + 2645*n**4 + 2079*n**3 - 2225*n**2 - 2104*n - 420 = 0.
-105, -1, -2/5, 1
What is v in v**4 + 20*v**3 + 99*v**2 - 20*v - 100 = 0?
-10, -1, 1
Factor p**5/9 - 32*p**4/9 - 11*p**3/3.
p**3*(p - 33)*(p + 1)/9
Factor -3*l**3 + 150*l**2 + 639*l + 486.
-3*(l - 54)*(l + 1)*(l + 3)
Let -12*z**3 + 32*z**2 + 80*z - 64 = 0. What is z?
-2, 2/3, 4
Determine v so that -v**5/2 + 29*v**4/6 - 15*v**3 + 16*v**2 - 16*v/3 = 0.
0, 2/3, 1, 4
Solve -2*v**2/13 - 22792*v/13 - 64934408/13 = 0 for v.
-5698
Factor 2*p**2 - 18*p - 644.
2*(p - 23)*(p + 14)
Find g such that 3*g**5/8 + 15*g**4/8 + 15*g**3/8 - 15*g**2/8 - 9*g/4 = 0.
-3, -2, -1, 0, 1
Factor 2*h**2/5 - 6*h - 32/5.
2*(h - 16)*(h + 1)/5
Find h, given that 5*h**4/2 - 20*h**3 + 65*h**2/2 - 15*h = 0.
0, 1, 6
Factor -2*i**3/11 + 4*i**2/11 + 30*i/11.
-2*i*(i - 5)*(i + 3)/11
Determine r so that 2*r**3/11 - 26*r**2/11 + 96*r/11 - 72/11 = 0.
1, 6
Suppose 18*y**5/19 + 528*y**4/19 - 2290*y**3/19 - 3736*y**2/19 - 1320*y/19 = 0. Calculate y.
-33, -2/3, 0, 5
Factor -w**4/4 - 3*w**3/2 + 15*w**2 + 275*w/2 + 1125/4.
-(w - 9)*(w + 5)**3/4
Factor -f**5/2 + 2*f**3.
-f**3*(f - 2)*(f + 2)/2
Determine g, given that 11*g**5/4 - 45*g**4/8 + 29*g**3/8 - 3*g**2/4 = 0.
0, 1/2, 6/11, 1
Determine x so that -2*x**2 - 78*x = 0.
-39, 0
Factor -1250*q**2/11 - 1200*q/11 - 288/11.
-2*(25*q + 12)**2/11
Let 3*z**2/7 + 195*z/7 - 216 = 0. Calculate z.
-72, 7
Factor t**4 + 5*t**3 + 4*t**2.
t**2*(t + 1)*(t + 4)
Factor -5*z**4 + 170*z**3 + 555*z**2.
-5*z**2*(z - 37)*(z + 3)
Suppose -4*c**2 - 20*c + 56 = 0. What is c?
-7, 2
Factor 3*n**3 + 60*n**2 + 99*n - 162.
3*(n - 1)*(n + 3)*(n + 18)
Let b**2/11 + 397*b/11 - 798/11 = 0. Calculate b.
-399, 2
Factor -2*k**3/13 - 62*k**2/13 - 118*k/13 - 58/13.
-2*(k + 1)**2*(k + 29)/13
Factor -14*j**3 + 16*j**2 - 2*j.
-2*j*(j - 1)*(7*j - 1)
Solve -2*d**5/5 + 4*d**4/5 + 6*d**3/5 - 16*d**2/5 + 8*d/5 = 0.
-2, 0, 1, 2
Factor -r**3/2 + 61*r**2/2.
-r**2*(r - 61)/2
Determine j, given that -4*j**2 - 224*j - 220 = 0.
-55, -1
Suppose -4*p**2 + 756*p + 760 = 0. What is p?
-1, 190
What is w in -3*w**4/4 - 33*w**3 + 69*w**2/2 + 33*w - 135/4 = 0?
-45, -1, 1
Factor -2*d**4/11 - 34*d**3/11 + 160*d**2/11 - 16