*s**4 - 92*s**3 + 12*s**2 + 144*s = 0. What is s?
-1, 0, 3, 4
Factor -u**3 - 33*u**2 - 32*u.
-u*(u + 1)*(u + 32)
Suppose 2*h**3/7 + 310*h**2/7 + 11856*h/7 - 12168/7 = 0. Calculate h.
-78, 1
Factor 5*m**3 + 1840*m**2 + 169280*m.
5*m*(m + 184)**2
Factor v**4/4 + v**3 - 199*v**2/4 + 187*v/2.
v*(v - 11)*(v - 2)*(v + 17)/4
Suppose 3*l**4/2 + 51*l**3/4 + 9*l**2/2 - 51*l/4 - 6 = 0. Calculate l.
-8, -1, -1/2, 1
Factor 2*o**4/7 - 164*o**3/7 + 4514*o**2/7 - 47232*o/7 + 165888/7.
2*(o - 32)**2*(o - 9)**2/7
Factor -5*b**2 - 435*b - 430.
-5*(b + 1)*(b + 86)
Solve 3*j**5 + 24*j**4 + 57*j**3 + 24*j**2 - 60*j - 48 = 0 for j.
-4, -2, -1, 1
Factor 2*s**2 - 128*s + 366.
2*(s - 61)*(s - 3)
Let -3*w**3 + 6*w**2 + 117*w + 216 = 0. What is w?
-3, 8
Factor 2*s**5/7 - 10*s**4 + 500*s**3/7 + 1940*s**2/7 + 2090*s/7 + 722/7.
2*(s - 19)**2*(s + 1)**3/7
Factor -v**2/3 + 52*v/3 - 17.
-(v - 51)*(v - 1)/3
Let -5*d**4 + 35*d**3 + 45*d**2 - 35*d - 40 = 0. Calculate d.
-1, 1, 8
Solve -1331*n**4/10 - 276969*n**3/10 - 150546*n**2/5 - 10936*n - 6624/5 = 0 for n.
-207, -4/11
Factor -2*k**2 + 1506*k.
-2*k*(k - 753)
Determine j, given that 24*j**3/7 - 220*j**2/7 + 16*j/7 + 180/7 = 0.
-5/6, 1, 9
Factor -f**3/8 + 47*f**2/8 - 203*f/8 - 9251/8.
-(f - 29)**2*(f + 11)/8
Solve 5*q**2 + 3870*q + 748845 = 0.
-387
Suppose -64*o**2/3 + 8432*o/3 - 277729/3 = 0. Calculate o.
527/8
Suppose 4*u**3/5 - 608*u**2/5 + 26624*u/5 - 360448/5 = 0. What is u?
32, 88
Factor -2*k**2/17 + 10*k/17 + 12/17.
-2*(k - 6)*(k + 1)/17
Factor 5*m**5 - 30*m**4 - 75*m**3 - 40*m**2.
5*m**2*(m - 8)*(m + 1)**2
Let -5*g**2 - 665*g + 2040 = 0. What is g?
-136, 3
Factor -5*l**2 + 685*l.
-5*l*(l - 137)
Find k such that -k**2 - 19*k/2 + 5 = 0.
-10, 1/2
Solve 3*b**4/7 - 6954*b**3/7 + 4036791*b**2/7 - 8052732*b/7 + 4022892/7 = 0 for b.
1, 1158
Suppose x**5/3 - 5*x**4/3 + 7*x**3/3 + x**2/3 - 8*x/3 + 4/3 = 0. Calculate x.
-1, 1, 2
Factor 30*l**2 + 56*l - 8.
2*(l + 2)*(15*l - 2)
Find u such that u**3 - 4*u = 0.
-2, 0, 2
Determine r, given that 4*r**3/9 - 1388*r**2/9 + 1384*r/9 = 0.
0, 1, 346
Let -5*u**5 + 55*u**4 - 120*u**3 - 180*u**2 = 0. What is u?
-1, 0, 6
Factor 5*q**4/4 + 75*q**3/4 - 165*q**2/4 + 85*q/4.
5*q*(q - 1)**2*(q + 17)/4
Factor h**5/10 + 19*h**4/10 + 9*h**3/5.
h**3*(h + 1)*(h + 18)/10
Factor -2*s**2/5 + 12*s/5 + 32/5.
-2*(s - 8)*(s + 2)/5
Factor o**3 - 82*o**2 + 2016*o - 12960.
(o - 36)**2*(o - 10)
Factor 5*b**2 + 285*b - 1550.
5*(b - 5)*(b + 62)
Factor 196*c**3 + 476*c**2 + 177*c + 18.
(c + 2)*(14*c + 3)**2
What is g in g**3/3 - 4*g**2/3 - 105*g - 594 = 0?
-9, 22
Factor -4*n**3/5 - 52*n**2/5 + 64*n/5 + 112/5.
-4*(n - 2)*(n + 1)*(n + 14)/5
Find b, given that -6*b**5 - 34*b**4 - 36*b**3 + 16*b**2 = 0.
-4, -2, 0, 1/3
Find j, given that -3*j**3 - 948*j**2 - 74892*j = 0.
-158, 0
Factor -16*w**3 + 132*w**2 - 32*w.
-4*w*(w - 8)*(4*w - 1)
Factor -l**4/7 + 6*l**3/7 - 12*l**2/7 + 8*l/7.
-l*(l - 2)**3/7
Factor 3*m**3/8 + 21*m**2/8 - 33*m/2.
3*m*(m - 4)*(m + 11)/8
Factor 2*d**5/5 - 52*d**4/5 + 184*d**3/5 - 176*d**2/5.
2*d**2*(d - 22)*(d - 2)**2/5
Factor -5*a**3 + 25*a**2.
-5*a**2*(a - 5)
Factor 2*u**4/9 + 4*u**3/3 + 2*u**2.
2*u**2*(u + 3)**2/9
Factor -q**4/4 + 13*q**3 - 361*q**2/2 + 275*q + 1875/4.
-(q - 25)**2*(q - 3)*(q + 1)/4
What is m in -231*m**4 + 2692*m**3 - 7360*m**2 - 2832*m - 144 = 0?
-2/7, -2/33, 6
Factor 2*l**3/3 - 172*l**2 + 342*l - 512/3.
2*(l - 256)*(l - 1)**2/3
Factor -2*j**2 - 16*j + 18.
-2*(j - 1)*(j + 9)
Factor 2*b**2 + 14*b + 12.
2*(b + 1)*(b + 6)
Factor -4*j**2/7 - 824*j/7 - 42436/7.
-4*(j + 103)**2/7
Solve -2*s**5 + 2*s**4 + 6*s**3 - 2*s**2 - 4*s = 0.
-1, 0, 1, 2
Suppose -5*x**2 - 35*x + 40 = 0. Calculate x.
-8, 1
Factor -3*o**4 - 6*o**3 + 9*o**2 + 12*o - 12.
-3*(o - 1)**2*(o + 2)**2
Suppose -4*q**5 - 44*q**4 - 192*q**3 - 416*q**2 - 448*q - 192 = 0. Calculate q.
-3, -2
What is n in -4*n**5 + 36*n**4 - 24*n**3 - 424*n**2 + 540*n + 900 = 0?
-3, -1, 3, 5
Find z such that -2*z**4/3 + 4*z**3 + 2*z**2 - 40*z/3 + 8 = 0.
-2, 1, 6
Let x**3/5 - 63*x**2/5 - x/5 + 63/5 = 0. Calculate x.
-1, 1, 63
Factor 8*p**4 - 16*p**3 - 6*p**2 + 14*p - 4.
2*(p - 2)*(p + 1)*(2*p - 1)**2
Factor -2*m**3/11 + 26*m**2/11 - 112*m/11 + 160/11.
-2*(m - 5)*(m - 4)**2/11
Find o such that 2*o**4/5 + 184*o**3/5 + 4412*o**2/5 + 1656*o + 810 = 0.
-45, -1
Determine r so that 4*r**4 + 48*r**3 - 948*r**2 - 10864*r + 11760 = 0.
-14, 1, 15
Let x**5/4 - x**4 - 125*x**3/4 - 55*x**2 + 31*x + 56 = 0. What is x?
-8, -2, -1, 1, 14
Factor -3*j**4 - 33*j**3 - 99*j**2 - 111*j - 42.
-3*(j + 1)**2*(j + 2)*(j + 7)
Find k such that k**4 - 3*k**3 - 2*k**2 + 12*k - 8 = 0.
-2, 1, 2
Factor 4*b**2/3 + 1000*b/3 - 1004/3.
4*(b - 1)*(b + 251)/3
Let 6*d**5 + 20*d**4 - 18*d**3 - 80*d**2 - 24*d = 0. What is d?
-3, -2, -1/3, 0, 2
Determine l so that -3*l**2 + 855*l - 852 = 0.
1, 284
Factor -2*n**4 + 80*n**3 - 606*n**2 + 1520*n - 992.
-2*(n - 31)*(n - 4)**2*(n - 1)
Determine d, given that -2*d**2 - 148*d - 2538 = 0.
-47, -27
Find g such that 2*g**5/3 - 62*g**4/3 + 20*g**3 = 0.
0, 1, 30
Solve 3*k**5/5 + 9*k**4/5 - 39*k**3/5 - 33*k**2/5 + 72*k/5 + 12 = 0 for k.
-5, -1, 2
Suppose 4*d**3 + 108*d**2 + 288*d = 0. Calculate d.
-24, -3, 0
Suppose -6*j**4/7 + 2*j**3 + 110*j**2/7 - 158*j/7 + 40/7 = 0. What is j?
-4, 1/3, 1, 5
Factor 3*m**2/5 + 684*m/5.
3*m*(m + 228)/5
Find j, given that 2*j**3 - 12*j**2 + 22*j - 12 = 0.
1, 2, 3
Determine d so that 2*d**4/5 - 18*d**3/5 + 24*d**2/5 + 88*d/5 - 96/5 = 0.
-2, 1, 4, 6
Factor -51*h**4 - 66*h**3 + 117*h**2.
-3*h**2*(h - 1)*(17*h + 39)
Let -4*p**5 + 8*p**4 + 12*p**3 - 16*p**2 - 16*p = 0. Calculate p.
-1, 0, 2
Let -2*a**4/5 - 18*a**3/5 - 8*a**2 - 24*a/5 = 0. What is a?
-6, -2, -1, 0
Find h such that -3*h**3/2 - 21*h**2/2 - 12*h + 24 = 0.
-4, 1
Factor 2*t**3/13 - 16*t**2/13 - 150*t/13 - 252/13.
2*(t - 14)*(t + 3)**2/13
Find x such that -4*x**2 + 644*x - 1896 = 0.
3, 158
Find i such that 14*i**3 - 1104*i**2 - 158*i = 0.
-1/7, 0, 79
Factor -5*c**2/2 - 565*c/2 - 280.
-5*(c + 1)*(c + 112)/2
Suppose -2*x**2/3 - 304*x/3 - 298 = 0. What is x?
-149, -3
Factor 2*p**2/5 + 256*p/5 + 8192/5.
2*(p + 64)**2/5
Factor -i**3/2 + 57*i**2/2 - 783*i/2 - 841/2.
-(i - 29)**2*(i + 1)/2
Factor -21*c**4 - 39894*c**3 - 18941100*c**2 + 5415000*c.
-3*c*(c + 950)**2*(7*c - 2)
Suppose 210*k**3 + 325*k**2 - 180*k + 20 = 0. Calculate k.
-2, 1/6, 2/7
Factor 2*v**4/11 + 18*v**3/11 + 52*v**2/11 + 48*v/11.
2*v*(v + 2)*(v + 3)*(v + 4)/11
Factor -f**4 - 4850*f**3 - 5875773*f**2 + 11766100*f - 5885476.
-(f - 1)**2*(f + 2426)**2
Find w such that 8*w**3/13 - 794*w**2/13 + 2502*w/13 - 576/13 = 0.
1/4, 3, 96
Factor 5*z**3 + 55*z**2 + 95*z + 45.
5*(z + 1)**2*(z + 9)
Suppose 2*k**4 + 36*k**3 + 24*k**2 - 164*k + 102 = 0. What is k?
-17, -3, 1
Factor -12*i**3 + 387*i**2 + 300*i - 99.
-3*(i - 33)*(i + 1)*(4*i - 1)
Suppose l**2/2 + 1041*l + 2081/2 = 0. What is l?
-2081, -1
Factor -4*r**2 + 24*r - 36.
-4*(r - 3)**2
What is f in -f**4/5 + 368*f**3/5 - 34222*f**2/5 + 67344*f/5 - 33489/5 = 0?
1, 183
Determine v so that 5*v**4 - 195*v**3 + 2700*v**2 - 15120*v + 25920 = 0.
3, 12
Factor 5*p**2 + 85*p - 90.
5*(p - 1)*(p + 18)
What is w in 3*w**3/5 + 3*w**2 - 42*w/5 = 0?
-7, 0, 2
What is h in -4*h**4/9 - 188*h**3/9 = 0?
-47, 0
Suppose -2*a**3/7 + 114*a**2/7 + 1634*a/7 + 1518/7 = 0. Calculate a.
-11, -1, 69
Factor u**2/3 + 13*u/3 - 14/3.
(u - 1)*(u + 14)/3
Let 4*f**4/5 + 66*f**3/5 + 344*f**2/5 + 726*f/5 + 108 = 0. What is f?
-9, -3, -5/2, -2
Solve -t**3 - 6*t**2 = 0 for t.
-6, 0
Solve x**4/7 - 3*x**3/7 + x**2/7 + 3*x/7 - 2/7 = 0.
-1, 1, 2
Factor y**5 + 2*y**4 - 2*y**2 - y.
y*(y - 1)*(y + 1)**3
Factor 5*j**3 - 33*j**2 + 43*j - 15.
(j - 5)*(j - 1)*(5*j - 3)
Solve -20*t**3 - 115*t**2 - 220*t - 140 = 0 for t.
-2, -7/4
Factor -5*p**2/3 + 135*p - 1380.
-5*(p - 69)*(p - 12)/3
Factor 2*i**4 + 2*i**3 - 24*i**2 - 56*i - 32.
2*(i - 4)*(i + 1)*(i + 2)**2
Solve -h**3/6 - 5*h**2/6 + 4*h/3 + 2 = 0.
-6, -1, 2
What is s in -6*s**4 + 70*s**3 + 30*s**2 - 70*s - 24 = 0?
-1, -1/3, 1, 12
Factor 5*x**3 + 40*x**2 - 100*x.
5*x*(x - 2)*(x + 10)
Factor -3*t**4 + 45*t**3.
-3*t**3*(t - 15)
Determine p so that 2*p**2/5 + 656*p/5 - 658/5 = 0.
-329, 1
Find h such that -2*h**2/7 = 0.
0
Factor 3*g**2 + 81*g - 972.
3*(g - 9)*(g + 36)
Suppose -a**5/5 - 16*a**4/5 - 77*a**3/5 - 10*a**2 + 372*a/5 + 72 = 0. Calculate a.
-6, -5, -1, 2
Determine