*3 - 4*c**2 + 8*c.
-4*c*(c - 1)*(c + 2)
Solve 28*v**5 - 1216*v**4 + 97988*v**3/7 - 114776*v**2/7 - 12912*v - 2016 = 0.
-2/7, 2, 21
Factor -2*w**2 - 78*w + 752.
-2*(w - 8)*(w + 47)
Factor -4*i**3 + 12*i**2 + 664*i - 672.
-4*(i - 14)*(i - 1)*(i + 12)
Suppose n**3/3 - 100*n**2/3 - 101*n/3 = 0. Calculate n.
-1, 0, 101
What is y in -4*y**2 + 1344*y = 0?
0, 336
What is p in -2*p**5/5 + 286*p**4/5 + 578*p**3/5 + 58*p**2 = 0?
-1, 0, 145
Factor -2*m**3/5 + 24*m**2/5 + 26*m/5.
-2*m*(m - 13)*(m + 1)/5
Find p, given that -5*p**3 + 630*p**2 - 4720*p = 0.
0, 8, 118
Determine t so that -4*t**4 + 288*t**3 + 2148*t**2 + 5008*t + 3792 = 0.
-3, -2, 79
Factor -16*o**2 + 6860*o + 1716.
-4*(o - 429)*(4*o + 1)
Factor 5*h**2 - 210*h + 2200.
5*(h - 22)*(h - 20)
Let 2*r**3 - 7102*r**2 + 6301248*r + 6308352 = 0. What is r?
-1, 1776
Factor -2*j**2/5 - 672*j/5 - 56448/5.
-2*(j + 168)**2/5
Factor -4*r**2 - 104*r.
-4*r*(r + 26)
Factor -2*x**2/9 - 14*x/9 + 44.
-2*(x - 11)*(x + 18)/9
Suppose -4*d**3 + 1984*d**2 - 246016*d = 0. What is d?
0, 248
Factor -3*l**5 + 417*l**4 - 19857*l**3 + 347895*l**2 - 1166400*l + 1093500.
-3*(l - 45)**3*(l - 2)**2
Determine z so that 79*z**5 - 1977*z**4 + 18299*z**3 - 74011*z**2 + 110250*z - 2744 = 0.
2/79, 4, 7
Factor -2*s**3/3 - 4*s**2/3 - 2*s/3.
-2*s*(s + 1)**2/3
Factor 5*b**4 - 5*b**3 - 15*b**2 + 5*b + 10.
5*(b - 2)*(b - 1)*(b + 1)**2
Let 33*f**5/4 + 378*f**4 + 294*f**3 - 891*f**2/2 - 1209*f/4 + 135/2 = 0. What is f?
-45, -1, 2/11, 1
Find y, given that 17161*y**3/2 + 131*y**2 + y/2 = 0.
-1/131, 0
Solve 2*s**2/7 - 8*s + 192/7 = 0 for s.
4, 24
Factor 2*k**2/15 + 154*k/15 - 52/5.
2*(k - 1)*(k + 78)/15
Factor -y**4/5 + y**3/5 + 4*y**2/5 - 4*y/5.
-y*(y - 2)*(y - 1)*(y + 2)/5
Determine p so that -p**3/2 - 6*p**2 - 45*p/2 - 25 = 0.
-5, -2
Determine v so that 14*v**2/3 + 4*v/3 - 16 = 0.
-2, 12/7
Factor j**4 - 9*j**3 + 29*j**2 - 39*j + 18.
(j - 3)**2*(j - 2)*(j - 1)
Factor -g**2/3 - 94*g/3 - 2209/3.
-(g + 47)**2/3
Let -48*s**2/5 - 578*s/15 - 8/15 = 0. Calculate s.
-4, -1/72
Solve 2*q**4/5 + 22*q**3/5 + 54*q**2/5 + 10*q + 16/5 = 0.
-8, -1
Suppose -16*g**5/5 + 44*g**4/5 + 524*g**3/5 + 1088*g**2/5 + 752*g/5 + 128/5 = 0. What is g?
-2, -1, -1/4, 8
Determine m, given that m**3/4 - 3*m**2/4 - 4*m - 3 = 0.
-2, -1, 6
Suppose -9*k**4 - 1599*k**3 - 70749*k**2 + 24831*k + 47526 = 0. Calculate k.
-89, -2/3, 1
Solve 2*g**5 - 1162*g**4 - 4668*g**3 - 7012*g**2 - 4678*g - 1170 = 0.
-1, 585
Solve -f**5/7 - 2238*f**4/7 = 0 for f.
-2238, 0
Suppose 4*n**4 + 112*n**3 - 496*n**2 + 512*n = 0. What is n?
-32, 0, 2
Factor -j**2/7 - 2*j/7.
-j*(j + 2)/7
Let -5*d**4 - 10*d**3 + 5*d**2 + 10*d = 0. Calculate d.
-2, -1, 0, 1
Solve -5*r**2/3 - 40*r - 475/3 = 0.
-19, -5
Suppose -2*c**4 + 8*c**3 + 22*c**2 - 60*c = 0. What is c?
-3, 0, 2, 5
Let 2*b**3/11 - 6*b**2/11 + 8/11 = 0. What is b?
-1, 2
Suppose -2*j**4 - 10*j**3 + 210*j**2 + 10*j - 208 = 0. Calculate j.
-13, -1, 1, 8
Factor 3*b**2 + 318*b + 8427.
3*(b + 53)**2
Factor -t**2/2 - 345*t + 3475/2.
-(t - 5)*(t + 695)/2
Factor -6*t**3/7 + 72*t**2/7 + 78*t/7.
-6*t*(t - 13)*(t + 1)/7
Factor -2*m**5/7 + 30*m**4/7 - 144*m**3/7 + 216*m**2/7.
-2*m**2*(m - 6)**2*(m - 3)/7
Factor 2*x**4 - 70*x**3 + 392*x**2.
2*x**2*(x - 28)*(x - 7)
Factor -3*m**3/8 - 3*m**2/8 + 15*m/4 - 3.
-3*(m - 2)*(m - 1)*(m + 4)/8
What is m in -2*m**5 - 4*m**4 + 2*m**3 + 4*m**2 = 0?
-2, -1, 0, 1
Factor 5*h**4 - 60*h**3 + 225*h**2 - 290*h + 120.
5*(h - 6)*(h - 4)*(h - 1)**2
Let 3*h**2 - 48 = 0. What is h?
-4, 4
Solve 114*m**4/5 - 1257*m**3/5 + 3681*m**2/5 - 3288*m/5 + 84/5 = 0 for m.
1/38, 2, 7
What is k in -2*k**2/11 + 1612*k/11 + 3232/11 = 0?
-2, 808
Factor 5*r**4 + 185*r**3 + 355*r**2 + 175*r.
5*r*(r + 1)**2*(r + 35)
Factor 3*l**2 - 37938*l + 119940987.
3*(l - 6323)**2
Factor -3*i**3 - 44*i**2 - 172*i - 96.
-(i + 6)*(i + 8)*(3*i + 2)
Factor -2*v**2/7 - 38*v/7 - 20.
-2*(v + 5)*(v + 14)/7
Factor -3*o**4 - 72*o**3.
-3*o**3*(o + 24)
Let -19*m**4 - 189*m**3 - 617*m**2 - 651*m + 36 = 0. What is m?
-4, -3, 1/19
Factor -5*j**2 + 185*j + 4590.
-5*(j - 54)*(j + 17)
Factor 10*r**3 + 36*r**2 - 16*r.
2*r*(r + 4)*(5*r - 2)
Factor -5*m**4/2 - 435*m**3 + 1755*m**2/2 - 440*m.
-5*m*(m - 1)**2*(m + 176)/2
Factor a**5/8 + 3*a**4/4 - 5*a**3 + 2*a**2 + 18*a - 20.
(a - 2)**3*(a + 2)*(a + 10)/8
Factor -25*b**3 - 35*b**2 + 140*b + 60.
-5*(b - 2)*(b + 3)*(5*b + 2)
Suppose -2*f**5/7 + 12*f**4/7 - 6*f**3/7 - 20*f**2/7 = 0. What is f?
-1, 0, 2, 5
What is b in 4*b**4 - 68*b**3 + 308*b**2 - 220*b - 600 = 0?
-1, 3, 5, 10
Suppose 2*p**4/3 + 406*p**3/3 - 136*p**2 = 0. What is p?
-204, 0, 1
Factor -3*f**3 + 8*f**2 + 5*f - 6.
-(f - 3)*(f + 1)*(3*f - 2)
Factor o**4 + 20*o**3 + 43*o**2 - 696*o - 720.
(o - 5)*(o + 1)*(o + 12)**2
Factor 5*c**3 + 45*c**2 - 200*c - 240.
5*(c - 4)*(c + 1)*(c + 12)
Suppose y**2/4 - 9*y/4 + 2 = 0. What is y?
1, 8
Solve -4*g**4 - 112*g**3 - 492*g**2 - 752*g - 368 = 0.
-23, -2, -1
Factor r**2/5 - 3*r - 34/5.
(r - 17)*(r + 2)/5
Factor k**4 + 1128*k**3 - 6792*k**2 + 13600*k - 9072.
(k - 2)**3*(k + 1134)
Factor 2*j**3/3 - 4*j**2 - 24*j + 144.
2*(j - 6)**2*(j + 6)/3
Factor 3*w**2/4 + 1785*w/2 - 3573/4.
3*(w - 1)*(w + 1191)/4
Factor 4*d**4 + 448*d**3 + 3392*d**2 + 6656*d.
4*d*(d + 4)**2*(d + 104)
Find r such that -r**5 + 27*r**4 - 26*r**3 = 0.
0, 1, 26
Factor 2*r**3 - 18*r**2 + 54*r - 54.
2*(r - 3)**3
Solve 4*a**4 - 2*a**3 - 18*a**2 + 8*a + 8 = 0 for a.
-2, -1/2, 1, 2
Let 8*m**5/5 + 122*m**4/5 - 3186*m**3/5 + 11228*m**2/5 + 18368*m/5 + 768 = 0. Calculate m.
-30, -1, -1/4, 8
Factor 2*p**4/5 - 6*p**3/5 - 12*p**2/5 + 16*p/5.
2*p*(p - 4)*(p - 1)*(p + 2)/5
Factor 2*y**3/3 + 260*y**2 + 26112*y + 147456.
2*(y + 6)*(y + 192)**2/3
Factor 7*a**4/3 + 8*a**3/3 + a**2/3.
a**2*(a + 1)*(7*a + 1)/3
Factor -5*h**4 + 16*h**3 + 17*h**2 - 4*h.
-h*(h - 4)*(h + 1)*(5*h - 1)
Factor h**2 - 553*h - 554.
(h - 554)*(h + 1)
Factor -2*v**2/17 - 142*v/17 - 140/17.
-2*(v + 1)*(v + 70)/17
What is u in -u**2/2 + 224*u - 25088 = 0?
224
Factor 2*d**4/11 + 16*d**3/11 - 38*d**2/11 + 20*d/11.
2*d*(d - 1)**2*(d + 10)/11
Factor 3*i**3 + 16326*i**2 + 29615364*i + 17907423432.
3*(i + 1814)**3
Factor 2*t**3/15 - 14*t**2/15 + 8*t/15 + 8/5.
2*(t - 6)*(t - 2)*(t + 1)/15
Factor -2*j**3/11 + 842*j**2/11 - 8018*j - 89042/11.
-2*(j - 211)**2*(j + 1)/11
Determine o, given that -o**3/7 + 2*o**2 - 48*o/7 = 0.
0, 6, 8
What is f in 2*f**2 - 8980*f + 10080050 = 0?
2245
Factor z**4/2 + 1773*z**3/2 + 1047843*z**2/2 + 206425071*z/2.
z*(z + 591)**3/2
Factor k**2 - 1361*k - 1362.
(k - 1362)*(k + 1)
Factor 98*c**3 + 2506*c**2 + 1408*c + 200.
2*(c + 25)*(7*c + 2)**2
Solve 5*o**2 + 1085*o - 1090 = 0.
-218, 1
Factor c**2/8 - 2323*c/8 + 1161/4.
(c - 2322)*(c - 1)/8
What is x in -4*x**5/3 + 161*x**4/3 - 196*x**3/3 + 13*x**2 = 0?
0, 1/4, 1, 39
Solve -2*d**3/3 - 2*d**2 - 4*d/3 = 0.
-2, -1, 0
Suppose -2*g**3 + 68*g**2 - 66*g = 0. Calculate g.
0, 1, 33
Find m such that -4*m**2 - 100*m + 104 = 0.
-26, 1
Factor -3*g**2/4 + 282*g - 26508.
-3*(g - 188)**2/4
Suppose 4*m**2/9 - 8*m/9 = 0. What is m?
0, 2
Suppose -3*f**4/8 + 21*f**3/8 - 15*f**2/4 = 0. What is f?
0, 2, 5
Suppose -d**4/4 + 17*d**3/4 - 7*d**2/2 - 8*d = 0. Calculate d.
-1, 0, 2, 16
Let 5*n**5 - 60*n**4 + 85*n**3 + 150*n**2 = 0. What is n?
-1, 0, 3, 10
Suppose 5*k**4 - 335*k**3 + 3540*k**2 - 13520*k + 17600 = 0. Calculate k.
4, 55
Factor f**5 + 13*f**4/2 + 23*f**3/2 + 11*f**2/2 - 5*f/2 - 2.
(f + 1)**3*(f + 4)*(2*f - 1)/2
Factor -a**3 - 207*a**2 - 14283*a - 328509.
-(a + 69)**3
Factor 10*b**4 - 206*b**3 - 304*b**2 - 88*b.
2*b*(b - 22)*(b + 1)*(5*b + 2)
Let -25*j**5/6 + 295*j**4/6 - 212*j**3/3 - 148*j**2/3 + 184*j/3 - 40/3 = 0. What is j?
-1, 2/5, 2, 10
Determine z, given that -2*z**2/3 + 14*z + 48 = 0.
-3, 24
Factor 2*p**2/15 - 146*p/5 - 88/3.
2*(p - 220)*(p + 1)/15
Determine f so that 10*f**3 - 25*f**2 - 15*f = 0.
-1/2, 0, 3
Solve -14*l**5/5 - 124*l**4 - 2472*l**3/5 - 2896*l**2/5 - 128*l = 0.
-40, -2, -2/7, 0
Find p, given that -4*p**2/7 - 496*p/7 = 0.
-124, 0
Determine s, given that 2*s**5/5 - 6*s**4/5 + 6*s**3/5 - 2*s**2/5 = 0.
0, 1
Suppose 189*s**5 + 2088*s**4 - 2103*s**3 + 678*s**2 - 72*s = 0. Calculate s.
-12, 0, 2/7, 1/3
Factor -2*m**2 + 476*m + 4960.
-2*(m - 248)*(m + 10)
Factor 3*m**2/2 + 105*m/2 + 99.
3*(m + 2)*(m + 33)/2
Factor -3*f**3/2 - 815*f**2/2 - 2149*f/2 + 807/2.
-(f + 3)*(f + 26