.
4*y*(y - 279)
Factor -4*r**4 - 48*r**3 - 116*r**2 - 72*r.
-4*r*(r + 1)*(r + 2)*(r + 9)
Factor -4*v**3/5 - 72*v**2/5 - 64*v.
-4*v*(v + 8)*(v + 10)/5
Solve x**3 + 37*x**2/2 + 17*x/2 - 9 = 0.
-18, -1, 1/2
Suppose -3*w**2 + 1149*w - 1146 = 0. Calculate w.
1, 382
Factor 3*x**4/4 + 15*x**3/2 + 81*x**2/4 + 27*x/2.
3*x*(x + 1)*(x + 3)*(x + 6)/4
Let -3*p**2/2 - 5058*p - 4263894 = 0. What is p?
-1686
Factor 5*c**4 + 365*c**3 - 1140*c**2 + 20*c + 1520.
5*(c - 2)**2*(c + 1)*(c + 76)
Suppose i**2/3 + i - 28/3 = 0. What is i?
-7, 4
Determine c so that c**2/7 + 181*c/7 = 0.
-181, 0
What is w in 5*w**2 - 490*w + 12005 = 0?
49
Find o, given that -2*o**5 + 8*o**4/3 + 70*o**3/3 - 104*o/3 + 32/3 = 0.
-2, 1/3, 1, 4
Factor 8*o**3/9 - 94*o**2/9 + 34*o - 20.
2*(o - 6)*(o - 5)*(4*o - 3)/9
Solve -2*b**2/3 - 76*b/3 - 722/3 = 0 for b.
-19
Find k such that 5*k**5 - 950*k**4 + 1865*k**3 + 2840*k**2 - 3740*k - 3760 = 0.
-1, 2, 188
What is p in 4*p**2/5 + 356*p/5 - 376 = 0?
-94, 5
Factor -3*z**2 + 15*z + 42.
-3*(z - 7)*(z + 2)
Determine m so that 154*m**2 + 150*m + 36 = 0.
-6/11, -3/7
Find z such that -5*z**2 - 105*z - 100 = 0.
-20, -1
Factor -k**5 - 21*k**4 - 171*k**3 - 675*k**2 - 1296*k - 972.
-(k + 3)**3*(k + 6)**2
Solve 3*t**3/2 + 27*t**2/2 + 30*t + 18 = 0 for t.
-6, -2, -1
Let -q**3 + 15*q**2 - 63*q + 81 = 0. What is q?
3, 9
Suppose -2*j**4/17 + 32*j**3/17 - 6*j**2 + 72*j/17 = 0. What is j?
0, 1, 3, 12
Find h such that 26*h**5 - 48*h**4 - 294*h**3 + 268*h**2 + 984*h + 144 = 0.
-2, -2/13, 3
Determine o so that 34*o**2/9 - 41042*o/9 + 4828/9 = 0.
2/17, 1207
What is w in 20*w**4 + 185*w**3 + 205*w**2 + 40*w = 0?
-8, -1, -1/4, 0
Factor 4*y**2 + 21208*y + 28111204.
4*(y + 2651)**2
Factor 3*c**5 - 21903*c**4 + 39945585*c**3 + 119968203*c**2 + 120012024*c + 40011312.
3*(c - 3652)**2*(c + 1)**3
What is h in -312*h**3 + 7500*h**2 - 34575*h/2 + 10500 = 0?
5/4, 280/13
Suppose -k**4/4 + 121*k**3/2 = 0. What is k?
0, 242
Solve 2*c**3 + 10*c**2 - 12*c = 0 for c.
-6, 0, 1
Let n**5/5 - 3*n**4/5 - n**3/5 + 7*n**2/5 - 4/5 = 0. Calculate n.
-1, 1, 2
Factor 5*t**4 - 530*t**3 + 1045*t**2 - 520*t.
5*t*(t - 104)*(t - 1)**2
Factor 2*v**2/5 - 56*v/5 - 58/5.
2*(v - 29)*(v + 1)/5
Factor m**2/5 - 7*m/5 - 8/5.
(m - 8)*(m + 1)/5
Factor -3*m**4/2 - 207*m**3/2 - 102*m**2.
-3*m**2*(m + 1)*(m + 68)/2
Suppose 2*x**3/19 + 34*x**2/19 + 20*x/19 - 192/19 = 0. Calculate x.
-16, -3, 2
What is v in -v**5/6 + 25*v**4/6 + 29*v**3/6 - 73*v**2/6 - 64*v/3 - 26/3 = 0?
-1, 2, 26
Determine r, given that -r**4/3 + r**3 + 32*r**2/3 + 20*r + 32/3 = 0.
-2, -1, 8
Factor 2*q**4 + 104*q**3 + 484*q**2 + 664*q + 282.
2*(q + 1)**2*(q + 3)*(q + 47)
Factor -3*d**4/2 - 13*d**3/4 + 4*d**2 + 3*d/4.
-d*(d - 1)*(d + 3)*(6*d + 1)/4
Find n, given that 2*n**5/3 - 4*n**4/3 - 4*n**3/3 + 8*n**2/3 + 2*n/3 - 4/3 = 0.
-1, 1, 2
Suppose -r**4 + 17*r**3/2 - 21*r**2 + 37*r/2 - 5 = 0. What is r?
1/2, 1, 2, 5
Solve 72*v**4 - 772*v**3 + 2040*v**2 - 1172*v + 168 = 0 for v.
2/9, 1/2, 3, 7
Factor -4*g**2/7 - 921*g/7.
-g*(4*g + 921)/7
Factor u**2/4 - 37*u/2 - 75/4.
(u - 75)*(u + 1)/4
Factor -4*a**5 - 336*a**4 - 660*a**3 - 328*a**2.
-4*a**2*(a + 1)**2*(a + 82)
Find j such that 2*j**3/13 + 4*j**2/13 - 2560*j/13 + 33600/13 = 0.
-42, 20
Suppose -6*c**3/5 + 3*c**2/5 + 48*c + 231/5 = 0. Calculate c.
-11/2, -1, 7
Determine m, given that m**5 - 6*m**4 - 14*m**3 + 36*m**2 + 85*m + 42 = 0.
-2, -1, 3, 7
Let o**3/2 + o**2 = 0. Calculate o.
-2, 0
Factor 2*p**2 + 64*p + 462.
2*(p + 11)*(p + 21)
What is w in -20*w**5 - 1108*w**4 + 6900*w**3 + 4036*w**2 - 6880*w - 2928 = 0?
-61, -1, -2/5, 1, 6
Factor 54*a**4/5 - 3108*a**3/5 + 132074*a**2/15 + 60088*a/15 + 6728/15.
2*(a - 29)**2*(9*a + 2)**2/15
Factor 2*l**3/9 - 2542*l**2/3 + 2421890*l/3 + 7273298/9.
2*(l - 1907)**2*(l + 1)/9
Factor 2*h**2/11 - 46*h/11 - 156/11.
2*(h - 26)*(h + 3)/11
What is b in b**4 - 10*b**3 + 21*b**2 + 4*b - 28 = 0?
-1, 2, 7
Solve 5*c**4 + 11*c**3/4 - 2*c**2 + c/4 = 0 for c.
-1, 0, 1/5, 1/4
Solve t**3/5 + 128*t**2/5 + 127*t/5 = 0.
-127, -1, 0
Solve -s**3 + 21*s**2 - 99*s + 135 = 0 for s.
3, 15
Factor 2*v**3 + 44*v**2 + 242*v.
2*v*(v + 11)**2
Let 3*m**3/7 + 435*m**2/7 - 3*m/7 - 435/7 = 0. Calculate m.
-145, -1, 1
Factor -4*z**4 + 1916*z**3 - 228480*z**2 - 230400*z.
-4*z*(z - 240)**2*(z + 1)
Factor 2*w**2/5 - 70*w - 1432/5.
2*(w - 179)*(w + 4)/5
Factor -26*d**2 - 58*d - 12.
-2*(d + 2)*(13*d + 3)
Factor t**2 + 5*t - 6.
(t - 1)*(t + 6)
What is l in 2*l**2/15 + 124*l/3 + 9610/3 = 0?
-155
Factor 25*u**2 - 6690*u - 2680.
5*(u - 268)*(5*u + 2)
Factor -20*h**2/11 - 58*h/11 + 6/11.
-2*(h + 3)*(10*h - 1)/11
Find b such that -b**2/3 - 8*b/3 - 4 = 0.
-6, -2
What is k in 5*k**3 - 30*k**2 - 260*k + 600 = 0?
-6, 2, 10
What is l in 4*l**3 - 90*l**2 - 183*l/4 - 23/4 = 0?
-1/4, 23
Solve -4*u**4/5 + 43504*u**3/5 - 177431064*u**2/5 + 321623375344*u/5 - 218623489390084/5 = 0 for u.
2719
Factor -f**4/5 - f**3 - 3*f**2/5 + f + 4/5.
-(f - 1)*(f + 1)**2*(f + 4)/5
Factor 3*h**3 - 183*h**2 - 9504*h - 94284.
3*(h - 97)*(h + 18)**2
Factor -5*v**4 + 25*v**3 + 105*v**2 + 115*v + 40.
-5*(v - 8)*(v + 1)**3
Factor 2*o**3 + 154*o**2 + 3040*o + 2888.
2*(o + 1)*(o + 38)**2
Determine d, given that 2*d**3 + 116*d**2 + 208*d - 896 = 0.
-56, -4, 2
Determine p so that 3*p**5 + 78*p**4 + 273*p**3 + 186*p**2 - 276*p - 264 = 0.
-22, -2, -1, 1
Suppose 5*z**5 - 15*z**4 - 10*z**3 + 30*z**2 + 5*z - 15 = 0. What is z?
-1, 1, 3
Suppose 10*v**3/3 - 1064*v**2/3 - 6296*v/3 + 896 = 0. What is v?
-6, 2/5, 112
Factor -8*l**3/5 - 18*l**2 - 262*l/5 - 12.
-2*(l + 5)*(l + 6)*(4*l + 1)/5
Factor 2*v**4/5 + 1166*v**3 - 35028*v**2/5 + 70088*v/5 - 46736/5.
2*(v - 2)**3*(v + 2921)/5
Find p, given that -p**4 + 6*p**3 - 9*p**2 - 4*p + 12 = 0.
-1, 2, 3
Factor -p**2/6 - 1012*p - 1536216.
-(p + 3036)**2/6
Determine x so that 2*x**3 - 6*x**2 - 8*x = 0.
-1, 0, 4
Factor 5*c**4/4 + 35*c**3/4 - 85*c**2/2 - 50*c.
5*c*(c - 4)*(c + 1)*(c + 10)/4
Solve 4*r**5 + 36*r**4 + 84*r**3 + 76*r**2 + 24*r = 0 for r.
-6, -1, 0
What is h in 2*h**3 + 38*h**2 - 672*h + 2232 = 0?
-31, 6
Find y, given that 2*y**5 + 4*y**4/3 - 10*y**3 - 20*y**2/3 + 8*y + 16/3 = 0.
-2, -1, -2/3, 1, 2
Let z**2/2 - 94*z - 384 = 0. Calculate z.
-4, 192
Factor d**5/3 + 107*d**4/3 + 418*d**3/3 + 622*d**2/3 + 413*d/3 + 103/3.
(d + 1)**4*(d + 103)/3
Find x, given that 2888*x**2/3 - 1064*x + 294 = 0.
21/38
What is i in 9*i**3/2 - 165*i**2/2 + 171*i - 48 = 0?
1/3, 2, 16
Find s such that -s**3/3 - 3*s**2 + 16*s/3 + 20 = 0.
-10, -2, 3
Determine f so that f**4 + 20*f**3 + 19*f**2 = 0.
-19, -1, 0
Find f such that f**2/2 - 1132*f + 640712 = 0.
1132
Determine u so that -2*u**2 + 82*u + 84 = 0.
-1, 42
Let 2*z**2/5 - 2*z/5 - 4/5 = 0. Calculate z.
-1, 2
Factor -5*d**2 + 220*d - 2420.
-5*(d - 22)**2
Solve -5*m**3 + 10*m**2 + 65*m + 50 = 0 for m.
-2, -1, 5
Suppose b**3/7 - 9*b**2/7 + 15*b/7 + 25/7 = 0. Calculate b.
-1, 5
Factor -3*r**3 - 494*r**2 + 663*r - 166.
-(r - 1)*(r + 166)*(3*r - 1)
Determine i so that -3*i**5 - 60*i**4 - 270*i**3 + 60*i**2 + 273*i = 0.
-13, -7, -1, 0, 1
Suppose o**2 - 215*o + 426 = 0. Calculate o.
2, 213
Factor -5*d**2 + 195*d - 990.
-5*(d - 33)*(d - 6)
Suppose -2*o**2/13 - 278*o/13 + 1740/13 = 0. Calculate o.
-145, 6
Suppose u**4 - u**3/2 - 3*u**2 + 7*u/2 - 1 = 0. Calculate u.
-2, 1/2, 1
Solve v**4/3 - 6*v**3 + 12*v**2 + 392*v/3 + 160 = 0 for v.
-2, 10, 12
Factor -2*y**2/7 - 66*y/7 - 324/7.
-2*(y + 6)*(y + 27)/7
Find z, given that 125*z**3 + 325*z**2 + 260*z + 60 = 0.
-6/5, -1, -2/5
Determine o, given that 2*o**3/9 + 4*o**2/9 - 8*o/9 - 16/9 = 0.
-2, 2
Suppose 3*z**2 - 168*z + 2352 = 0. Calculate z.
28
Factor r**4/5 - 8*r**3/5 - 6*r**2 - 32*r/5 - 11/5.
(r - 11)*(r + 1)**3/5
Factor -3*b**2 - 31086*b - 80528283.
-3*(b + 5181)**2
Factor -5*b**3 + 860*b**2 - 5025*b + 7470.
-5*(b - 166)*(b - 3)**2
Find j, given that j**4 + 95*j**3 - 291*j**2 + 293*j - 98 = 0.
-98, 1
Solve -59*b**2/2 + 33*b - 7/2 = 0.
7/59, 1
Let 2*f**2/9 - 338*f/9 + 1640/9 = 0. Calculate f.
5, 164
Determine o, given that -15*o**5/4 + 305*o**4/4 + 1255*o**3/2 + 2535*o**2/2 + 1665*o/4 - 1215/4 = 0.
-3, -1, 1/3, 27
Factor 10*v**4 - 116*v**3 + 312*v**2 + 144*v.
2*v*(v - 6)**2*(5*v + 2)
Suppose -w**4 + 7*w**3 - 14*w**2 + 8*w = 0. Calculate w.
0, 1, 2, 4
Factor -22*z**4 + 62*z**3 - 54*z**2 + 10*z + 4.
-2*(z - 1)**3*(11*z + 2)
Let -2*v**2 + 2242*v +