**3 + 24*o**2 - 186*o + 117.
3*(o - 1)**2*(o + 3)*(o + 13)
Suppose -2*b**3/3 + 286*b**2/9 - 980*b/9 + 176/3 = 0. What is b?
2/3, 3, 44
Factor 2*v**2 + 150*v - 800.
2*(v - 5)*(v + 80)
Let -g**2 - 2*g + 15 = 0. Calculate g.
-5, 3
Find j, given that -6*j**5 + 176*j**4 - 1402*j**3 + 1624*j**2 - 392*j = 0.
0, 1/3, 1, 14
Suppose -3*x**2 - 2187*x - 4362 = 0. What is x?
-727, -2
Solve -j**4/6 + 13*j**3/6 + j**2/2 - 99*j/2 - 81 = 0.
-3, -2, 9
Determine d, given that 3*d**4 + 15*d**3 + 6*d**2 - 24*d = 0.
-4, -2, 0, 1
Factor c**5/4 + c**4 - 7*c**3/4 - 5*c**2/2.
c**2*(c - 2)*(c + 1)*(c + 5)/4
Find w such that 3*w**5 + 9*w**4 - 21*w**3 - 33*w**2 + 18*w + 24 = 0.
-4, -1, 1, 2
Determine m so that -3*m**5 + 6*m**4 + 9*m**3 = 0.
-1, 0, 3
Factor 2*k**3 - 86*k**2 + 320*k - 312.
2*(k - 39)*(k - 2)**2
Factor -v**2 - 2308*v - 1331716.
-(v + 1154)**2
Let 36*i**5 + 564*i**4 + 2092*i**3 + 2796*i**2 + 1248*i + 176 = 0. What is i?
-11, -2, -1/3
Factor 7*c**4 - 5*c**3 - 16*c**2 - 4*c.
c*(c - 2)*(c + 1)*(7*c + 2)
Factor 5*m**2/4 + 295*m/4 - 75.
5*(m - 1)*(m + 60)/4
Determine m so that 4*m**4 + 144*m**3 + 620*m**2 - 2928*m + 2160 = 0.
-30, -9, 1, 2
Solve -3*s**5 + 24*s**4 + 285*s**3 - 282*s**2 - 2820*s + 4200 = 0 for s.
-5, 2, 14
Let -2*v**3 + 44*v**2 - 38*v - 84 = 0. Calculate v.
-1, 2, 21
Factor z**4 + 52*z**3 - 55*z**2 - 106*z.
z*(z - 2)*(z + 1)*(z + 53)
Find c, given that -3*c**5 + 75*c**4 - 426*c**3 - 582*c**2 + 429*c + 507 = 0.
-1, 1, 13
Factor -2*g**3/13 - 88*g**2/13 + 1030*g/13 - 2700/13.
-2*(g - 5)**2*(g + 54)/13
Factor 16*v**3 - 18076*v**2 + 13544*v + 4516.
4*(v - 1129)*(v - 1)*(4*v + 1)
Factor -3*b**3 + 162*b**2.
-3*b**2*(b - 54)
Factor -17*h**4/4 - 15*h**3/2 - 9*h**2/4 + h.
-h*(h + 1)**2*(17*h - 4)/4
What is w in 4*w**5 + 4*w**4 = 0?
-1, 0
Let -y**3/3 - 10*y**2/3 + 37*y/3 - 26/3 = 0. What is y?
-13, 1, 2
Factor -3*v**2 + 19182*v - 30662427.
-3*(v - 3197)**2
Factor 6*v**3 - 160*v**2 + 1118*v - 676.
2*(v - 13)**2*(3*v - 2)
Factor 25*d**5 - 14110*d**4 + 1993740*d**3 - 795240*d**2.
5*d**2*(d - 282)**2*(5*d - 2)
Solve -5*w**2 - 35*w - 50 = 0 for w.
-5, -2
Find d such that -3*d**5/8 - 3*d**4/8 + 183*d**3/4 + 183*d**2/4 - 363*d/8 - 363/8 = 0.
-11, -1, 1, 11
Factor 3*t**2/5 - 129*t/5 - 6264/5.
3*(t - 72)*(t + 29)/5
Let 2*n**2 - 224*n - 226 = 0. What is n?
-1, 113
Factor 3*u**2 - 57*u - 2706.
3*(u - 41)*(u + 22)
Factor 2*u**3/13 + 92*u**2/13 - 2*u/13 - 92/13.
2*(u - 1)*(u + 1)*(u + 46)/13
Let -5*o**2 + 53650*o - 143916125 = 0. Calculate o.
5365
Suppose -14*t**4 - 108*t**3 - 38*t**2 + 216*t - 56 = 0. What is t?
-7, -2, 2/7, 1
Determine p so that 22*p**4/5 + 102*p**3 - 986*p**2/5 + 354*p/5 + 20 = 0.
-25, -2/11, 1
Find c, given that -5*c**4/8 - 27*c**3/8 + 135*c**2/4 + 103*c/2 + 15 = 0.
-10, -1, -2/5, 6
Find m, given that -m**5/3 - m**4/3 + 10*m**3/3 - 8*m**2/3 = 0.
-4, 0, 1, 2
Factor -14*r**3/11 - 2370*r**2/11 - 676*r/11.
-2*r*(r + 169)*(7*r + 2)/11
Factor -4*n**3 + 44*n**2 - 40*n - 288.
-4*(n - 9)*(n - 4)*(n + 2)
Suppose 5*n**5 + 560*n**4 + 1645*n**3 + 1090*n**2 = 0. Calculate n.
-109, -2, -1, 0
Let l**3/2 + 134*l**2 + 791*l/2 - 530 = 0. Calculate l.
-265, -4, 1
Solve -x**2/4 - 101*x - 10201 = 0 for x.
-202
What is h in -38*h**5/5 - 42*h**4/5 + 72*h**3/5 + 8*h**2/5 = 0?
-2, -2/19, 0, 1
Suppose 3*j**4 + 3180*j**3 + 1264050*j**2 + 223315500*j + 14794651875 = 0. Calculate j.
-265
Solve -8*a**4/9 + 58*a**3/9 - 56*a**2/9 - 10*a/3 + 4 = 0.
-3/4, 1, 6
Solve 20*a**5 - 12*a**4 - 8*a**3 = 0 for a.
-2/5, 0, 1
Suppose 3*r**2 + 195*r - 1752 = 0. What is r?
-73, 8
Factor 3*h**3 + 9*h**2 + 6*h.
3*h*(h + 1)*(h + 2)
Determine p so that -p**2/8 + p/2 - 3/8 = 0.
1, 3
Determine w so that -15*w**4/2 + 3*w**3 + 45*w**2/2 + 6*w - 6 = 0.
-1, 2/5, 2
Suppose -6*f**5 - 40*f**4 + 30*f**3 + 120*f**2 + 56*f = 0. Calculate f.
-7, -1, -2/3, 0, 2
Factor -o**3/4 - 35*o**2 - 1225*o.
-o*(o + 70)**2/4
Determine g, given that g**3 + 28*g**2 - 31*g - 58 = 0.
-29, -1, 2
Find w, given that -5*w**4 - 40*w**3 - 75*w**2 + 20*w + 100 = 0.
-5, -2, 1
Solve 48*h**3 - 436*h**2 + 416*h = 0.
0, 13/12, 8
Let s**2/3 + 78*s + 4563 = 0. What is s?
-117
Factor -3*w**4 - 14*w**3 - 13*w**2 + 6*w.
-w*(w + 2)*(w + 3)*(3*w - 1)
Factor 19*c**3/4 - c**2/2.
c**2*(19*c - 2)/4
Solve -45*p**3 - 280*p**2 + 1740*p + 400 = 0.
-10, -2/9, 4
Factor -c**5 - 4*c**4 + 5*c**3.
-c**3*(c - 1)*(c + 5)
Factor -10*x**2 - 846*x + 340.
-2*(x + 85)*(5*x - 2)
Factor -y**3/2 + 25*y/2.
-y*(y - 5)*(y + 5)/2
Factor -o**3/6 - 9*o**2 + o/6 + 9.
-(o - 1)*(o + 1)*(o + 54)/6
Determine b, given that -b**4/6 + b**3/2 + 19*b**2/2 - 115*b/6 - 28 = 0.
-7, -1, 3, 8
Find o such that o**4 + 13*o**3 + 24*o**2 - 68*o - 80 = 0.
-10, -4, -1, 2
Determine a so that 110*a**5/9 + 118*a**4/3 + 394*a**3/9 + 158*a**2/9 - 8/9 = 0.
-1, -2/5, 2/11
Factor i**2/3 - 11722*i/3 + 34351321/3.
(i - 5861)**2/3
Factor w**3/5 + 99*w**2/5 - 526*w/5 - 624/5.
(w - 6)*(w + 1)*(w + 104)/5
Solve 5*c**4 + 15*c**3 - 45*c**2 + 25*c = 0.
-5, 0, 1
Solve -3*v**3 - 2307*v**2 + 2310*v = 0 for v.
-770, 0, 1
Solve 2*d**5/3 + 65*d**4/3 + 746*d**3/3 + 3481*d**2/3 + 5434*d/3 + 1936/3 = 0 for d.
-11, -8, -2, -1/2
Solve -3*y**2 + 24*y - 36 = 0 for y.
2, 6
Factor -v**2/5 + 528*v/5 + 212.
-(v - 530)*(v + 2)/5
Solve -5*n**5 + 5*n**4 + 50*n**3 + 40*n**2 = 0 for n.
-2, -1, 0, 4
Solve -v**3/3 + 16*v**2/3 - 85*v/3 + 50 = 0.
5, 6
Determine d so that -5*d**4 - 10*d**3 + 40*d**2 + 90*d + 45 = 0.
-3, -1, 3
Let -2*t**5/21 + 2*t**4/21 + 2*t**3 - 2*t**2/21 - 40*t/21 = 0. What is t?
-4, -1, 0, 1, 5
Find j, given that -j**4 - 22*j**3 + j**2 + 22*j = 0.
-22, -1, 0, 1
Factor 5*z**2 - 870*z + 2565.
5*(z - 171)*(z - 3)
Find g, given that g**4 - 12*g**3 + 29*g**2 + 42*g - 144 = 0.
-2, 3, 8
Factor -d**2/9 - 13*d/9 - 22/9.
-(d + 2)*(d + 11)/9
Determine v so that 2*v**4/5 + 36*v**3/5 + 232*v**2/5 + 624*v/5 + 576/5 = 0.
-6, -4, -2
Factor -z**2/7 - 45*z/7 - 86/7.
-(z + 2)*(z + 43)/7
Factor -5*r**5 + 150*r**4 - 1320*r**3 + 1210*r**2 + 19965*r.
-5*r*(r - 11)**3*(r + 3)
Find f, given that -12100*f**5 - 27632*f**4 - 19012*f**3 - 3496*f**2 + 16*f + 32 = 0.
-1, -2/11, 2/25
Factor -3*k**3 - 204*k**2 + 3840*k - 16128.
-3*(k - 8)**2*(k + 84)
Factor -9*v**2/2 + 159*v/2 - 51.
-3*(v - 17)*(3*v - 2)/2
Factor -4*f**2 - 71320*f - 317908900.
-4*(f + 8915)**2
Determine r, given that -r**3 + 27*r**2 + 660*r + 1204 = 0.
-14, -2, 43
Factor 5*u**4 + 85*u**3 + 225*u**2 + 215*u + 70.
5*(u + 1)**3*(u + 14)
Determine k so that 29*k**2 - 31*k + 2 = 0.
2/29, 1
Solve 5*u**4 - 1900*u**3 + 180500*u**2 = 0.
0, 190
Factor t**4 - 11*t**3 + 18*t**2.
t**2*(t - 9)*(t - 2)
Solve q**4 - 2*q**3 - 7*q**2 + 8*q + 12 = 0 for q.
-2, -1, 2, 3
Find g such that g**2/6 - 7*g/3 - 16/3 = 0.
-2, 16
Let -12*n**3/5 - 1101*n**2/5 + 1392*n/5 - 279/5 = 0. What is n?
-93, 1/4, 1
Solve -d**4/2 - 4*d**3 + 71*d**2/2 + 39*d = 0 for d.
-13, -1, 0, 6
Solve -42*o**3 - 44*o**2 - 2*o = 0.
-1, -1/21, 0
Factor -i**3/5 - 11*i**2/5 - 24*i/5 + 36/5.
-(i - 1)*(i + 6)**2/5
Let -30*g**5 + 98*g**4 - 76*g**3 - 8*g**2 + 16*g = 0. Calculate g.
-2/5, 0, 2/3, 1, 2
Factor -3*n**2/2 - 75*n/2.
-3*n*(n + 25)/2
Suppose 4*g**4 + 152*g**3 - 572*g**2 - 38304*g + 254016 = 0. Calculate g.
-28, 9
Factor 8*x**3 + 110*x**2 - 28*x.
2*x*(x + 14)*(4*x - 1)
Find r such that -3*r**4/2 - 21*r**3 - 96*r**2 - 144*r = 0.
-6, -4, 0
Factor -d**2 - 18*d - 56.
-(d + 4)*(d + 14)
Factor -5*z**4 - 30*z**3 + 135*z**2 - 20*z - 180.
-5*(z - 2)**2*(z + 1)*(z + 9)
Let -18*c**2/17 + 194*c/17 + 44/17 = 0. Calculate c.
-2/9, 11
Let 6*q**3/7 + 734*q**2/7 + 244*q/7 = 0. What is q?
-122, -1/3, 0
Factor 3*o**2 - 36*o.
3*o*(o - 12)
Solve 75*g**4 - 4470*g**3 + 7008*g**2 - 2784*g = 0 for g.
0, 4/5, 58
What is g in g**2/2 - 2*g - 6 = 0?
-2, 6
Let 4*k**5 + 88*k**4 + 84*k**3 = 0. What is k?
-21, -1, 0
Suppose -4*j**3 + 60*j**2 - 56*j = 0. Calculate j.
0, 1, 14
Factor 5*o**2 + 480*o - 485.
5*(o - 1)*(o + 97)
Solve 9*g**5 - 111*g**4 + 306*g**3 - 342*g**2 + 165*g - 27 = 0 for g.
1/3, 1, 9
Factor -f**3/2 + 1304*f**2 + 2609*f/2.
-f*(f - 2609)*(f + 1)/2
Factor 5*k**2 + 90*k - 200.
5*(k - 2)*(k + 20)
Factor -9*n**3/2 - 89*n**2/2 + 109*n/2 - 11/2.
-(n - 1)*(n + 11)*(9*n - 1)/2
Determine q so that -55*q**3 + 175*q**2 - 140*q + 20 = 0.
2/11, 1, 2
Factor 4*u**3 + 60*u**2 + 108*u + 52.
4*(u + 1)**2*(u + 13)
Suppose 5*v**4 - 110*v**3 + 885*v**2 - 3080*v + 3920 = 0. What is