.
-4*(c + 1811)**2/3
Factor 4*g**3 + 5172*g**2 + 2229132*g + 320251964.
4*(g + 431)**3
Suppose 9*g**2/2 - 3297*g + 2196 = 0. Calculate g.
2/3, 732
Solve 2*p**2/9 - 460*p/3 + 26450 = 0 for p.
345
Factor 2*x**4/13 + 64*x**3/13 + 62*x**2/13.
2*x**2*(x + 1)*(x + 31)/13
What is a in -a**3 - 122*a**2 + 500*a - 504 = 0?
-126, 2
Factor 2*w**2/3 + 4*w/3 - 70/3.
2*(w - 5)*(w + 7)/3
Factor -4*q**2 - 5270*q - 5266.
-2*(q + 1)*(2*q + 2633)
Factor 124*i**2 - 116*i - 8.
4*(i - 1)*(31*i + 2)
Factor o**4/2 - 5*o**3/2 + 4*o**2 - 2*o.
o*(o - 2)**2*(o - 1)/2
Determine d so that -d**2 + 4976*d - 6190144 = 0.
2488
Find x, given that 4*x**3/5 - 124*x**2/5 - 4*x/5 + 124/5 = 0.
-1, 1, 31
Solve 2*i**5 - 24*i**4 + 60*i**3 - 56*i**2 + 18*i = 0.
0, 1, 9
Factor -f**5/5 - 2*f**4 + 23*f**3/5 - 12*f**2/5.
-f**2*(f - 1)**2*(f + 12)/5
Factor b**4 - 1327*b**3 + 587418*b**2 - 86936980*b + 86350888.
(b - 442)**3*(b - 1)
Suppose -198*d**3 + 2397*d**2 - 7380*d + 756 = 0. Calculate d.
7/66, 6
Factor -3*y**3 + 135*y**2 + 282*y.
-3*y*(y - 47)*(y + 2)
Let -4*t**4 + 52*t**3 + 180*t**2 + 188*t + 64 = 0. What is t?
-1, 16
Factor 3*a**2/4 + 90*a + 2700.
3*(a + 60)**2/4
Determine a, given that a**3/3 + 1224*a**2 + 1498176*a + 611255808 = 0.
-1224
Determine f, given that -f**2/4 - 67*f/4 + 17 = 0.
-68, 1
Factor -2*d**3/3 + 118*d**2 - 1024*d/3 - 1160.
-2*(d - 174)*(d - 5)*(d + 2)/3
Factor 2*k**2/3 - 416*k + 64896.
2*(k - 312)**2/3
Factor s**2/4 - 13*s/4.
s*(s - 13)/4
Factor -5*n**2/3 + 25*n/2 + 45/2.
-5*(n - 9)*(2*n + 3)/6
Let -3*j**3 - 45*j**2 - 141*j - 99 = 0. What is j?
-11, -3, -1
Factor -h**2 + 13*h - 30.
-(h - 10)*(h - 3)
Factor 2*b**4/5 + 4*b**3 + 24*b**2/5 - 144*b/5.
2*b*(b - 2)*(b + 6)**2/5
Suppose -b**4/4 - 9*b**3/4 - 29*b**2/4 - 39*b/4 - 9/2 = 0. What is b?
-3, -2, -1
Suppose -4*h**4 + 1712*h**3 - 274776*h**2 + 19600688*h - 524318404 = 0. What is h?
107
What is s in 5*s**4/6 + 85*s**3/6 - 215*s**2/2 + 345*s/2 = 0?
-23, 0, 3
Solve -2*k**3 - 1516*k**2/7 - 41256*k/7 - 11664/7 = 0 for k.
-54, -2/7
Factor 3*y**4/7 - 3*y**3/7 - 15*y**2/7 - 9*y/7.
3*y*(y - 3)*(y + 1)**2/7
Factor -27*r**5/7 - 171*r**4/7 - 48*r**3 - 192*r**2/7.
-3*r**2*(r + 1)*(3*r + 8)**2/7
Factor 3*y**2/5 + 237*y/5 + 462/5.
3*(y + 2)*(y + 77)/5
Let p**3 - p**2 - 16*p + 16 = 0. Calculate p.
-4, 1, 4
Factor c**2/5 - 611*c/5 - 612/5.
(c - 612)*(c + 1)/5
Factor 11907*f**3 - 22302*f**2 - 2976*f - 96.
3*(f - 2)*(63*f + 4)**2
Solve 5*q**5 - 35*q**4 - 65*q**3 + 215*q**2 - 120*q = 0.
-3, 0, 1, 8
Factor z**4 + 36*z**3 - 202*z**2 + 132*z + 369.
(z - 3)**2*(z + 1)*(z + 41)
Factor -4*z**3 + 124*z**2 + 260*z + 132.
-4*(z - 33)*(z + 1)**2
Let -12*s**4 - 148*s**3 - 160*s**2 + 176*s = 0. What is s?
-11, -2, 0, 2/3
Factor 16*l**4 + 668*l**3 + 6888*l**2 - 1764*l.
4*l*(l + 21)**2*(4*l - 1)
Determine u, given that 3*u**3/2 - 245*u**2/2 - 331*u/2 - 83/2 = 0.
-1, -1/3, 83
Solve 2*g**2 - 42*g - 44 = 0.
-1, 22
Let -4*t**3/7 + 8864*t**2/7 - 17716*t/7 + 8856/7 = 0. What is t?
1, 2214
Find f, given that -f**3 + 14*f**2 + 17*f - 30 = 0.
-2, 1, 15
Find n, given that 2*n**4/3 + 12*n**3 + 62*n**2/3 - 12*n - 64/3 = 0.
-16, -2, -1, 1
Factor 2*c**2/3 - 4864*c + 8871936.
2*(c - 3648)**2/3
Determine o, given that -2*o**2 + 35500*o - 157531250 = 0.
8875
Determine g so that 51*g**5 - 300*g**4 + 219*g**3 + 30*g**2 = 0.
-2/17, 0, 1, 5
Determine c so that -3*c**4 + 9*c**2 - 6*c = 0.
-2, 0, 1
Solve 2*j**5/5 - 34*j**4/5 + 156*j**3/5 - 284*j**2/5 + 226*j/5 - 66/5 = 0 for j.
1, 3, 11
Suppose 23*r**2/4 + 5*r - 3/4 = 0. Calculate r.
-1, 3/23
Factor 3*s**2 + 273*s.
3*s*(s + 91)
Factor -21*g**5 + 2259*g**4 - 80676*g**3 + 944784*g**2 + 419904*g.
-3*g*(g - 36)**3*(7*g + 3)
Factor -x**3 - 19*x**2 + 120*x.
-x*(x - 5)*(x + 24)
Solve 2*f**4/19 - 20*f**3/19 + 48*f**2/19 = 0 for f.
0, 4, 6
Let 3*b**4 + 108*b**3 - 2067*b**2 + 1728*b + 3900 = 0. Calculate b.
-50, -1, 2, 13
Factor 3*q**4 - 12*q**3 - 9*q**2 + 54*q.
3*q*(q - 3)**2*(q + 2)
Find a such that 2*a**2 - 106*a + 1224 = 0.
17, 36
Let -4*o**5 - 12*o**4 + 28*o**3 + 44*o**2 - 24*o - 32 = 0. Calculate o.
-4, -1, 1, 2
Factor -75*t**4 + 60*t**3 - 12*t**2.
-3*t**2*(5*t - 2)**2
Factor i**2/4 + 6293*i/2 + 39601849/4.
(i + 6293)**2/4
Factor -f**2/3 - 7*f + 46/3.
-(f - 2)*(f + 23)/3
Suppose -2*i**2 - 2582*i + 5172 = 0. What is i?
-1293, 2
Factor 3*d**3 + 96*d**2 + 540*d - 3888.
3*(d - 4)*(d + 18)**2
Factor 2*m**5/13 - 126*m**4/13 + 2166*m**3/13 - 5762*m**2/13 + 5520*m/13 - 1800/13.
2*(m - 30)**2*(m - 1)**3/13
Factor -2*v**4/5 + 92*v**3/5 + 1392*v**2/5.
-2*v**2*(v - 58)*(v + 12)/5
Find a, given that -119*a**3/6 - 155*a**2/6 - 8*a/3 + 10/3 = 0.
-1, -10/17, 2/7
Factor 2*x**3/9 - 2*x.
2*x*(x - 3)*(x + 3)/9
Suppose 2*i**5 - 36*i**4 - 6*i**3 + 104*i**2 + 72*i = 0. What is i?
-1, 0, 2, 18
Factor -2*l**3 - 48*l**2 + 498*l - 448.
-2*(l - 7)*(l - 1)*(l + 32)
Factor -5*u**4/3 - 62*u**3/3 - 52*u**2 - 146*u/3 - 47/3.
-(u + 1)**3*(5*u + 47)/3
What is a in 3*a**4/2 - 253*a**3/2 - 481*a**2 - 264*a = 0?
-3, -2/3, 0, 88
Factor -4*v**2/7 - 280*v - 34300.
-4*(v + 245)**2/7
Find y such that -9*y**4/5 - 60*y**3 - 3748*y**2/5 - 4160*y - 43264/5 = 0.
-26/3, -8
Determine a so that -10*a**2 - 35*a + 20 = 0.
-4, 1/2
Factor 2*b**2 - 2056*b.
2*b*(b - 1028)
Determine c so that 4*c**4 - 28*c**3 + 48*c**2 + 16*c - 64 = 0.
-1, 2, 4
Let 10*k**5/9 - 16*k**4/9 - 8*k**3/9 + 20*k**2/9 - 2*k/9 - 4/9 = 0. Calculate k.
-1, -2/5, 1
Let -y**3/3 - 9*y**2 - 170*y/3 - 48 = 0. Calculate y.
-18, -8, -1
Determine c, given that 10*c**5 + 15*c**4 - 225*c**3 + 310*c**2 + 180*c - 360 = 0.
-6, -1, 3/2, 2
Factor 3*b**3/8 - 87*b**2/4 + 951*b/8 - 195/2.
3*(b - 52)*(b - 5)*(b - 1)/8
Factor 2*a**2/9 - 14*a/9.
2*a*(a - 7)/9
Factor -2*r**4/3 + 4*r**3/3 + 2*r**2/3 - 4*r/3.
-2*r*(r - 2)*(r - 1)*(r + 1)/3
Solve 3*j**3 + 12*j**2 - 3*j - 12 = 0 for j.
-4, -1, 1
Determine r, given that -r**2/2 + 5*r - 8 = 0.
2, 8
Solve -558*o**3/13 + 470*o**2/13 + 96*o/13 - 8/13 = 0.
-2/9, 2/31, 1
Factor 85*d**3/2 - 345*d**2 + 720*d - 80.
5*(d - 4)**2*(17*d - 2)/2
Find h, given that 46*h**4/5 + 274*h**3/5 + 126*h**2/5 - 466*h/5 + 4 = 0.
-5, -2, 1/23, 1
Find l such that -l**4 + 4*l**3 - 5*l**2 + 2*l = 0.
0, 1, 2
Factor 484*u**4/3 + 4576*u**3/3 + 5272*u**2/3 - 8736*u + 5292.
4*(u - 1)**2*(11*u + 63)**2/3
Determine l so that l**5/8 - 167*l**4/8 + 6887*l**3/8 + 7223*l**2/8 - 861*l - 882 = 0.
-1, 1, 84
Factor p**5 + 8*p**4 + 19*p**3 + 12*p**2.
p**2*(p + 1)*(p + 3)*(p + 4)
Factor -n**2 - 332*n - 27556.
-(n + 166)**2
Let -2*y**2/11 - 226*y/11 = 0. What is y?
-113, 0
Suppose -2*q**3/15 - 156*q**2/5 - 8968*q/5 + 55696/15 = 0. What is q?
-118, 2
Factor c**2 - 240*c + 476.
(c - 238)*(c - 2)
What is n in -n**5/2 + 447*n**4 + 896*n**3 + n**2 - 1791*n/2 - 448 = 0?
-1, 1, 896
Find j such that j**2 - 10*j = 0.
0, 10
Let -2*x**3/3 - 2*x**2 + 2*x/3 + 2 = 0. Calculate x.
-3, -1, 1
Factor -4*c**4 + 312*c**3 - 8112*c**2 + 70304*c.
-4*c*(c - 26)**3
Factor -12*q**4 - 99*q**3 - 204*q**2 - 45*q.
-3*q*(q + 3)*(q + 5)*(4*q + 1)
Let -3*w**5 + 606*w**4 - 29988*w**3 - 62424*w**2 = 0. Calculate w.
-2, 0, 102
Factor 1369*m**2/4 + 37*m/2 + 1/4.
(37*m + 1)**2/4
What is h in -h**4/2 + 4*h**3 + 2*h**2 - 16*h = 0?
-2, 0, 2, 8
Find p such that 2*p**3/15 + 2*p**2/15 - 4*p/15 = 0.
-2, 0, 1
Factor 3*f**2 + 444*f + 2145.
3*(f + 5)*(f + 143)
Factor -3*h**4 - 33*h**3 - 81*h**2 - 75*h - 24.
-3*(h + 1)**3*(h + 8)
Let -7*i**2/5 + 187*i/5 + 54/5 = 0. Calculate i.
-2/7, 27
Determine t so that -t**5/2 + 7*t**3/2 - t**2 - 6*t + 4 = 0.
-2, 1, 2
Factor -4*w**3 - 272*w**2 - 4032*w + 20736.
-4*(w - 4)*(w + 36)**2
Factor -4*f**5/3 - 20*f**4/3 - 8*f**3 + 16*f**2/3 + 32*f/3.
-4*f*(f - 1)*(f + 2)**3/3
Suppose 50*x**2/9 - 3040*x/3 + 46208 = 0. Calculate x.
456/5
Determine d, given that d**5 + 3*d**4 - 8*d**3 - 12*d**2 + 16*d = 0.
-4, -2, 0, 1, 2
Solve -4*v**2 + 48*v - 128 = 0 for v.
4, 8
Factor 3*f**4 + 144*f**3 + 411*f**2 + 270*f.
3*f*(f + 1)*(f + 2)*(f + 45)
Determine p so that -4*p**2/5 + 428*p/5 = 0.
0, 107
Determine v, given that 4*v**3 + 317*v**2 - 241*v - 80 = 0.
-80, -1/4, 1
Suppose -s**5/7 + 9*s**4/7 - 25*s**3/7 + 27*s**2/7 - 10*s/7 = 0. Calculate s.
0, 1, 2, 5
Factor -3*m**3 + 76*m**2 - 25*m.
-m*(m - 25)*(3*m - 1)
Find r, given that -r**2/6 + 1207*r/6 + 403 = 0.
-2, 1209
What is v in -2*v**4/7 + 68*v**3 - 38376*v**2/7 + 1095120*v/7 - 3796416/7 = 0?
4, 78
Determin