or 788*i**2 + 780*i - 8.
4*(i + 1)*(197*i - 2)
Factor 4*s**2 + 13712*s + 11751184.
4*(s + 1714)**2
Solve -w**2/5 + 447*w/5 + 448/5 = 0 for w.
-1, 448
Let 2*c**3/3 + 76*c**2/3 + 374*c/3 - 620 = 0. Calculate c.
-31, -10, 3
Factor -5*g**5 + 20*g**4 - 30*g**3 + 20*g**2 - 5*g.
-5*g*(g - 1)**4
Factor 7*a**3/6 - 5*a**2/3 - 13*a/2 + 3.
(a - 3)*(a + 2)*(7*a - 3)/6
Find q such that q**2/3 + 779*q/3 - 260 = 0.
-780, 1
Determine j so that -20*j**4 + 372*j**3 - 1416*j**2 - 3280*j + 2400 = 0.
-2, 3/5, 10
Factor 5*q**5 + 10*q**4 - 15*q**3 - 40*q**2 - 20*q.
5*q*(q - 2)*(q + 1)**2*(q + 2)
Suppose 2*r**2 + 2376*r + 705672 = 0. Calculate r.
-594
Determine i so that i**2 + 133*i = 0.
-133, 0
Determine z so that 96774*z**5/5 + 222758*z**4/5 + 494864*z**3/15 + 37648*z**2/5 - 1312*z/5 + 32/15 = 0.
-1, -2/3, 2/127
Factor -y**4/9 + 22*y**3/9 - 20*y**2 + 72*y - 96.
-(y - 6)**3*(y - 4)/9
Factor 4*p**2 + 6252*p - 6256.
4*(p - 1)*(p + 1564)
Suppose -5445*q**4 + 21065*q**3 - 2610*q**2 - 36960*q - 7840 = 0. What is q?
-1, -2/9, 28/11
Factor j**3/3 + 31*j**2/3 - 22*j.
j*(j - 2)*(j + 33)/3
Let p**4/7 - 6*p**3/7 - 60*p**2/7 - 136*p/7 - 96/7 = 0. What is p?
-2, 12
Suppose -2*k**2 - 180*k - 178 = 0. Calculate k.
-89, -1
Factor -14450*w**3/7 + 4080*w**2 + 678*w/7 + 4/7.
-2*(w - 2)*(85*w + 1)**2/7
Let -11*j**4 + 113*j**3/4 - 99*j**2/8 - j/2 + 1/2 = 0. What is j?
-2/11, 1/4, 1/2, 2
Solve a**3/2 + 3*a**2 + 4*a = 0 for a.
-4, -2, 0
Factor -b**3/6 + 6*b**2 - 251*b/6 + 36.
-(b - 27)*(b - 8)*(b - 1)/6
Factor o**3 + 51*o**2 - 52*o.
o*(o - 1)*(o + 52)
Suppose -9*f**4/2 + 75*f**3/2 - 69*f**2/2 - 111*f/2 + 21 = 0. Calculate f.
-1, 1/3, 2, 7
Factor n**3/2 + 11*n**2/2 + 31*n/2 + 21/2.
(n + 1)*(n + 3)*(n + 7)/2
Factor -5*f**4 + 200*f**3 - 2360*f**2 + 7200*f - 6480.
-5*(f - 18)**2*(f - 2)**2
Find u such that u**2/3 + 1114*u/3 + 310249/3 = 0.
-557
Let -2*f**2/9 - 178*f/3 + 552 = 0. What is f?
-276, 9
Find d, given that 3*d**4/4 - 3*d**3 = 0.
0, 4
Solve -12*n**3 + 21*n**2 + 42*n + 9 = 0 for n.
-1, -1/4, 3
Factor 2*r**4 - 130*r**3 - 8*r**2 + 520*r.
2*r*(r - 65)*(r - 2)*(r + 2)
Factor x**5/2 + 13*x**4/2 - 5*x**3/2 - 333*x**2/2 + 162*x.
x*(x - 4)*(x - 1)*(x + 9)**2/2
Solve 3*y**3 - 18*y**2 + 24*y = 0.
0, 2, 4
Factor -2*i**3/9 + 8*i**2/3 + 10*i/3 - 52/9.
-2*(i - 13)*(i - 1)*(i + 2)/9
Find s, given that -5*s**4 - 50*s**3 - 75*s**2 + 250*s + 280 = 0.
-7, -4, -1, 2
Let -t**2/6 + 200*t/3 - 20000/3 = 0. What is t?
200
Solve -2*o**4/11 + 4*o**3/11 + 2*o**2/11 - 4*o/11 = 0 for o.
-1, 0, 1, 2
Factor -2*c**4 + 12*c**3 + 74*c**2 + 60*c.
-2*c*(c - 10)*(c + 1)*(c + 3)
Factor -2*k**3 - 8*k**2 + 2*k + 8.
-2*(k - 1)*(k + 1)*(k + 4)
Factor -5*b**2 - 265*b.
-5*b*(b + 53)
Factor -s**3 - 18*s**2 + 63*s.
-s*(s - 3)*(s + 21)
Find m, given that -m**3/5 - 8*m**2/5 - 3*m = 0.
-5, -3, 0
Factor -2*a**3/15 + 10*a**2 + 632*a/15.
-2*a*(a - 79)*(a + 4)/15
Factor 2185454*c**3/7 + 127308*c**2/7 + 2472*c/7 + 16/7.
2*(103*c + 2)**3/7
Determine k so that 3*k**5 - 114*k**4 + 786*k**3 - 2052*k**2 + 2187*k - 810 = 0.
1, 3, 30
Find o, given that -3*o**5/7 - 45*o**4/7 + 531*o**3/7 + 5613*o**2/7 - 38160*o/7 - 43200/7 = 0.
-15, -1, 8
Let -4*q**2 - 57*q - 98 = 0. What is q?
-49/4, -2
Let -2*l**3/11 + 4*l**2/11 + 62*l/11 + 56/11 = 0. Calculate l.
-4, -1, 7
Factor 2*g**2/9 - 1088*g/9 + 362/3.
2*(g - 543)*(g - 1)/9
Solve -8*z**4 + 84*z**3 + 32*z**2 - 756*z + 360 = 0.
-3, 1/2, 3, 10
Factor c**4/6 - c**3/6 - c**2/2 + 5*c/6 - 1/3.
(c - 1)**3*(c + 2)/6
Let -5*r**4/3 + 22*r**3/3 + r**2 - 24*r = 0. Calculate r.
-8/5, 0, 3
Factor 2*o**4 + 64*o**3 - 600*o**2 + 1568*o - 1280.
2*(o - 4)*(o - 2)**2*(o + 40)
Factor -4*s**2 + 12*s + 16.
-4*(s - 4)*(s + 1)
Suppose -2*i**4 - 50*i**3 + 486*i**2 - 1350*i + 1188 = 0. Calculate i.
-33, 2, 3
What is o in -2*o**3/5 - 3*o**2/5 + 39*o/5 + 4 = 0?
-5, -1/2, 4
Determine k so that 4*k**2 - 192*k + 1404 = 0.
9, 39
Determine n so that -3*n**5 + 12*n**4 - 3*n**3 - 18*n**2 = 0.
-1, 0, 2, 3
Solve -2*v**4/7 - 10*v**3/7 - 12*v**2/7 = 0 for v.
-3, -2, 0
Find b, given that 242*b**5 + 3058*b**4 - 1378*b**3 - 2954*b**2 + 1136*b - 104 = 0.
-13, -1, 2/11, 1
Factor -2*v**3 + 446*v**2 - 25086*v + 24642.
-2*(v - 111)**2*(v - 1)
Determine j, given that -3*j**2/5 + 36*j/5 + 192/5 = 0.
-4, 16
Solve 4*t**4 + 20*t**3 + 8*t**2 - 32*t = 0 for t.
-4, -2, 0, 1
Factor -2*q**2/7 + 1832*q/7 - 419528/7.
-2*(q - 458)**2/7
Find r such that r**5/5 - 78*r**4/5 - 79*r**3/5 = 0.
-1, 0, 79
Factor -5*g**4 - 545*g**3 + 560*g**2 + 1100*g.
-5*g*(g - 2)*(g + 1)*(g + 110)
Determine s, given that -4*s**2 + 864*s - 1712 = 0.
2, 214
Factor -32*y**5/9 - 80*y**4/9 + 58*y**3/3 - 8*y**2.
-2*y**2*(y + 4)*(4*y - 3)**2/9
Solve -5*s**4 - 805*s**3 = 0 for s.
-161, 0
Factor -4*l**3/5 + 12*l**2/5 + 136*l/5 + 192/5.
-4*(l - 8)*(l + 2)*(l + 3)/5
Factor -21*l**2 + 41*l/2 + 1/2.
-(l - 1)*(42*l + 1)/2
Factor 4*b**5 + 32*b**4 - 48*b**3 - 576*b**2.
4*b**2*(b - 4)*(b + 6)**2
Solve 15*n**2 + 9760*n - 3255 = 0 for n.
-651, 1/3
Factor -a**3/2 + 157*a**2/2 - 77*a - 156.
-(a - 156)*(a - 2)*(a + 1)/2
Factor 3*f**4/5 + 66*f**3/5 + 123*f**2/5 + 12*f.
3*f*(f + 1)**2*(f + 20)/5
Let 2*o**5 + 129*o**4/2 + 460*o**3 - 977*o**2 + 306*o + 289/2 = 0. What is o?
-17, -1/4, 1
Let -4*k**2 + 8608*k - 4631104 = 0. Calculate k.
1076
Factor -5*x**3 - 210*x**2 - 405*x - 200.
-5*(x + 1)**2*(x + 40)
Let -2*c**5 - 28*c**4 - 64*c**3 + 256*c**2 = 0. Calculate c.
-8, 0, 2
Factor -s**4/4 + 29*s**3/4 - 81*s**2/2 - 176*s - 128.
-(s - 16)**2*(s + 1)*(s + 2)/4
Determine t, given that 2*t**2/5 + 39*t/5 - 4 = 0.
-20, 1/2
Factor y**5/9 + 7*y**4/9 + 4*y**3/3.
y**3*(y + 3)*(y + 4)/9
Factor 2*b**5 + 7*b**4 + 7*b**3 + 2*b**2.
b**2*(b + 1)*(b + 2)*(2*b + 1)
What is w in 3*w**3/4 + 3*w**2/2 - 189*w/4 = 0?
-9, 0, 7
Solve -2*s**5/3 - 16*s**4 + 50*s**3/3 = 0.
-25, 0, 1
Factor -5*m**3 + 535*m**2 - 530*m.
-5*m*(m - 106)*(m - 1)
Factor -3*p**5/2 + 13*p**4/2 - 2*p**3.
-p**3*(p - 4)*(3*p - 1)/2
Factor -f**4/2 + 61*f**3/2 + 95*f**2 + 64*f.
-f*(f - 64)*(f + 1)*(f + 2)/2
Factor 5*w**4 + 10*w**3 - 65*w**2 + 50*w.
5*w*(w - 2)*(w - 1)*(w + 5)
Suppose -5*j**2 - 2125*j = 0. What is j?
-425, 0
Determine s, given that 2*s**5/11 - 18*s**4/11 - 50*s**3/11 + 346*s**2/11 - 480*s/11 + 200/11 = 0.
-5, 1, 2, 10
Determine s so that 3*s**2 - 558*s = 0.
0, 186
Suppose 2*r**3/7 + 554*r**2/7 + 38086*r/7 - 38642/7 = 0. What is r?
-139, 1
Solve -a**5 + a**4 + 24*a**3 - 88*a**2 + 112*a - 48 = 0.
-6, 1, 2
Suppose 10*o**4/7 - 766*o**3/7 + 1192*o**2/7 + 600*o/7 = 0. What is o?
-2/5, 0, 2, 75
Factor -2*y**2 - 74*y + 156.
-2*(y - 2)*(y + 39)
What is j in -3*j**5/8 - 3*j**4/2 - 9*j**3/4 - 3*j**2/2 - 3*j/8 = 0?
-1, 0
Find n such that -2*n**3/5 + 204*n**2/5 = 0.
0, 102
Determine d so that 2*d**2/5 - 94*d/5 + 36 = 0.
2, 45
Determine k so that -2*k**5 - 36*k**4 - 160*k**3 - 180*k**2 + 162*k + 216 = 0.
-12, -3, -1, 1
Find s, given that -4*s**4/3 - 28*s**3/3 - 64*s**2/3 - 16*s = 0.
-3, -2, 0
Factor 16*v**4 - 5188*v**3 + 1296*v**2.
4*v**2*(v - 324)*(4*v - 1)
Let -18*i**3/11 + 85560*i**2/11 - 114056*i/11 + 3456 = 0. What is i?
2/3, 4752
Factor 18*y**3 - 250*y**2 + 854*y + 98.
2*(y - 7)**2*(9*y + 1)
What is i in 7*i**5 + 23*i**4 + 13*i**3 - 19*i**2 - 20*i - 4 = 0?
-2, -1, -2/7, 1
What is h in 2*h**3 + 42*h**2 + 238*h + 198 = 0?
-11, -9, -1
Let -28*o**5/3 + 232*o**4/3 - 260*o**3/3 + 56*o**2/3 = 0. Calculate o.
0, 2/7, 1, 7
Factor 2*i**2/3 - 86*i/3 - 92.
2*(i - 46)*(i + 3)/3
Factor 4*v**3 + 180*v**2 + 1932*v - 2116.
4*(v - 1)*(v + 23)**2
Solve -2*l**3/9 - 40*l**2/9 - 38*l/9 = 0 for l.
-19, -1, 0
Factor -2*k**2/13 - 32*k/13 + 160/13.
-2*(k - 4)*(k + 20)/13
Suppose -2*d**2/7 - 4*d/7 = 0. Calculate d.
-2, 0
Suppose -2*m**3 - 2260*m**2/9 + 366*m - 1016/9 = 0. Calculate m.
-127, 4/9, 1
Factor 6*a**3 - 8*a**2.
2*a**2*(3*a - 4)
Find d such that 2*d**3/5 - 178*d**2/5 + 4048*d/5 - 3872/5 = 0.
1, 44
Solve -p**3/2 + 9*p**2/2 - 11*p/2 - 21/2 = 0 for p.
-1, 3, 7
What is c in -c**5/9 - 2*c**4/3 + 25*c**3/9 + 10*c**2 - 36*c + 24 = 0?
-6, 1, 2, 3
Solve -2*b**3/13 - 28*b**2/13 + 8*b/13 + 112/13 = 0 for b.
-14, -2, 2
Factor -y**2/5 - 3*y/5 + 4/5.
-(y - 1)*(y + 4)/5
Factor 2*x**3/7 - 240*x**2/7 - 9216*x/7 - 77824/7.
2*(x - 152)*(x + 16)**2/7
Let 2*d**4/7 - 2*d**3/7 - 18*d**2/7 + 18*d/7 = 0. What is d?
-3, 0, 1, 3
Factor 578*a**2 - 1224*a + 648.
2*(17*a - 18)**2
Solve 7*v**3/6 - 1459*v**2/6 +