2, -1, 0, 1, 2
Factor a**3 - 11*a**2/2 + 17*a/2 - 3.
(a - 3)*(a - 2)*(2*a - 1)/2
Determine p, given that 5*p**3/3 - 70*p**2/3 - 15*p + 210 = 0.
-3, 3, 14
Find u, given that 4*u**3 + 16*u**2 - 708*u - 720 = 0.
-15, -1, 12
Let -b**5/6 + 4*b**4/3 - 7*b**3/2 + 3*b**2 = 0. What is b?
0, 2, 3
Factor 4*i**4 - 216*i**3 + 1200*i**2 - 2336*i + 1536.
4*(i - 48)*(i - 2)**3
Let m**4/5 - 2*m**3/5 - 21*m**2/5 - 18*m/5 = 0. What is m?
-3, -1, 0, 6
Let -46*y**3/3 + 354*y**2 + 1012*y/3 - 32 = 0. What is y?
-1, 2/23, 24
Factor 2*p**4/13 + 8*p**3/13 - 6*p**2/13 - 36*p/13.
2*p*(p - 2)*(p + 3)**2/13
Factor -12*j**3 - 44*j**2 + 312*j + 224.
-4*(j - 4)*(j + 7)*(3*j + 2)
Factor x**5 + 7*x**4 - 6*x**3 - 50*x**2 - 59*x - 21.
(x - 3)*(x + 1)**3*(x + 7)
Suppose -3*p**4 + 1014*p**3 - 88668*p**2 + 503976*p - 661344 = 0. Calculate p.
2, 4, 166
Suppose -42*a**5 + 338*a**4 + 34*a**3/3 - 622*a**2/3 - 268*a/3 - 32/3 = 0. What is a?
-1/3, -2/7, 1, 8
Factor -f**3/3 - 20*f**2/3 + 23*f/3 + 14.
-(f - 2)*(f + 1)*(f + 21)/3
Let 3*m**5/5 - 6*m**4/5 + 6*m**2/5 - 3*m/5 = 0. What is m?
-1, 0, 1
Solve -5*h**4 + 25*h**3 - 15*h**2 - 25*h + 20 = 0 for h.
-1, 1, 4
Factor 5*n**4 + 30*n**3 + 65*n**2 + 60*n + 20.
5*(n + 1)**2*(n + 2)**2
Factor -4*p**2 + 1893*p - 473.
-(p - 473)*(4*p - 1)
Factor -4*v**5 + 56*v**4 + 264*v**3 + 416*v**2 + 284*v + 72.
-4*(v - 18)*(v + 1)**4
Factor -l**3/2 + 47*l**2 - 91*l/2 - 93.
-(l - 93)*(l - 2)*(l + 1)/2
Factor 3*o**3/7 + 792*o**2/7 + 53055*o/7 + 102966/7.
3*(o + 2)*(o + 131)**2/7
What is z in -2*z**2 - 469*z - 234 = 0?
-234, -1/2
Factor -4*a**5 + 8*a**4 + 32*a**3 + 8*a**2 - 28*a - 16.
-4*(a - 4)*(a - 1)*(a + 1)**3
Let 2*h**5/11 + 10*h**4/11 + 8*h**3/11 - 32*h**2/11 - 64*h/11 - 32/11 = 0. Calculate h.
-2, -1, 2
Factor 5*o**4 - 118*o**3 - 48*o**2.
o**2*(o - 24)*(5*o + 2)
What is v in 5*v**2 + 2090*v + 2085 = 0?
-417, -1
Find b such that -2*b**4 - 138*b**3 - 2700*b**2 - 11008*b - 12288 = 0.
-32, -3, -2
Factor l**4/8 + 33*l**3/4.
l**3*(l + 66)/8
Suppose -4*d**2 + 160*d - 1564 = 0. Calculate d.
17, 23
Let 2*w**3 - 24*w**2 = 0. What is w?
0, 12
Factor 5*h**4 + 60*h**3 - 2025*h**2 - 28960*h - 26880.
5*(h - 21)*(h + 1)*(h + 16)**2
Let -m**3 - 768*m**2 - 196608*m - 16777216 = 0. Calculate m.
-256
Solve 3*s**5 + 30*s**4 - 36*s**3 - 30*s**2 + 33*s = 0.
-11, -1, 0, 1
Let -2*h**5 - 16*h**4 - 42*h**3 - 28*h**2 + 40*h + 48 = 0. Calculate h.
-3, -2, 1
Solve -9*u**5/7 + 21*u**4 + 122*u**3/7 - 348*u**2/7 + 136*u/7 = 0.
-2, 0, 2/3, 17
Suppose 4*s**2 + 152*s + 148 = 0. Calculate s.
-37, -1
Solve -2*s**5 + 8*s**4 - 20*s**2 + 2*s + 12 = 0.
-1, 1, 2, 3
Solve -5*u**5 + 345*u**4 - 7470*u**3 + 50470*u**2 - 55245*u - 113535 = 0.
-1, 3, 9, 29
Determine y, given that y**4/3 - y**3 - 9*y**2 - 13*y/3 + 14 = 0.
-3, -2, 1, 7
Suppose -15*g**2 - 140*g + 1600 = 0. Calculate g.
-16, 20/3
Factor 2*l**3 - 54*l**2 - 320*l.
2*l*(l - 32)*(l + 5)
Factor 10*n**2 + 842*n + 168.
2*(n + 84)*(5*n + 1)
Factor -2*d**2/13 - 556*d/13 - 1104/13.
-2*(d + 2)*(d + 276)/13
Let -p**3 - 31*p**2/3 + 160*p/3 - 172/3 = 0. Calculate p.
-43/3, 2
Factor 3*m**5 + 21*m**4 + 21*m**3 - 45*m**2.
3*m**2*(m - 1)*(m + 3)*(m + 5)
Factor -2*o**4/3 + 88*o**3/3 - 1196*o**2/3 + 1672*o - 2166.
-2*(o - 19)**2*(o - 3)**2/3
Solve p**2/3 + 5*p/3 = 0 for p.
-5, 0
Let -2*f**4/17 + 20*f**3/17 + 22*f**2/17 = 0. What is f?
-1, 0, 11
Let 3*q**5/4 - 3*q**4/2 - 9*q**3 - 21*q**2/2 - 15*q/4 = 0. Calculate q.
-1, 0, 5
Determine s so that 2*s**2/11 + 50*s/11 - 300/11 = 0.
-30, 5
Let -3*u**5 - 5*u**4 + 67*u**3 + 37*u**2 - 276*u - 180 = 0. Calculate u.
-5, -2, -2/3, 3
Let z**4 - 13*z**3 + 60*z**2 - 112*z + 64 = 0. Calculate z.
1, 4
What is h in -5*h**5 - 60*h**4 + 480*h**3 - 1040*h**2 + 720*h = 0?
-18, 0, 2
Factor j**3/3 - 202*j**2/3 - 203*j/3.
j*(j - 203)*(j + 1)/3
Factor 4*h**3/5 + 1102*h**2/5 - 552*h/5.
2*h*(h + 276)*(2*h - 1)/5
Factor -3*b**4 + 12*b**3 + 90*b**2 - 204*b + 105.
-3*(b - 7)*(b - 1)**2*(b + 5)
Let 2*m**3/23 + 52*m**2/23 - 54*m/23 = 0. Calculate m.
-27, 0, 1
Factor 2*c**5 - 18*c**4 + 30*c**3 + 50*c**2.
2*c**2*(c - 5)**2*(c + 1)
What is s in 5*s**5 + 5*s**4 - 5*s**3 - 5*s**2 = 0?
-1, 0, 1
Factor 3*g**3 - 2853*g**2 + 904401*g - 95565039.
3*(g - 317)**3
Determine v, given that 3*v**2/4 + 23*v/2 + 20 = 0.
-40/3, -2
Determine x, given that x**4/2 - 16*x**3 + 103*x**2 + 544*x - 4335/2 = 0.
-5, 3, 17
Solve 11*d**4 + 37*d**3 - 48*d**2 = 0 for d.
-48/11, 0, 1
Find t such that -3*t**4 + 18*t**3 + 12*t**2 - 72*t = 0.
-2, 0, 2, 6
Determine k, given that 2*k**5/15 + 8*k**4/15 - 32*k**2/15 - 32*k/15 = 0.
-2, 0, 2
Determine h, given that -2*h**2/11 - 2340*h/11 - 684450/11 = 0.
-585
Factor 5*h**4 + 287*h**3 + 3714*h**2 - 12060*h - 5400.
(h - 3)*(h + 30)**2*(5*h + 2)
Find v such that 4*v**4 - 64*v**3 + 252*v**2 + 64*v - 256 = 0.
-1, 1, 8
Factor 2*h**4 - 42*h**3 + 198*h**2 + 242*h.
2*h*(h - 11)**2*(h + 1)
Let -3*v**3/4 + 5229*v**2/4 - 3038049*v/4 + 588368823/4 = 0. Calculate v.
581
What is n in 3*n**3/5 - 3*n**2/5 - 228*n/5 - 84 = 0?
-7, -2, 10
Suppose -45*v**4 + 1920*v**3 - 26315*v**2 + 119080*v - 94640 = 0. What is v?
1, 7, 52/3
Factor -2*v**2/3 - 14*v/3 + 16/3.
-2*(v - 1)*(v + 8)/3
Suppose -3*q**5 + 3*q**4 + 1260*q**3 = 0. What is q?
-20, 0, 21
Determine u so that -3*u**4/7 - 30*u**3/7 - 75*u**2/7 = 0.
-5, 0
Find z, given that 2*z**4/7 - 46*z**3/7 - 78*z**2 - 1010*z/7 + 1600/7 = 0.
-5, 1, 32
Let -j**3/4 + j**2/8 + 27*j/8 - 9/2 = 0. What is j?
-4, 3/2, 3
Suppose -12*k**2 + 1720*k - 572 = 0. What is k?
1/3, 143
Determine s, given that 6*s**2/11 + 54*s/11 = 0.
-9, 0
Suppose -18*y**5/7 + 165*y**4/7 - 489*y**3/7 + 510*y**2/7 - 24*y = 0. What is y?
0, 2/3, 1, 7/2, 4
Solve 5*b**4 - 1315*b**3 + 2615*b**2 - 1305*b = 0.
0, 1, 261
Determine c so that 2*c**2 + 88*c + 246 = 0.
-41, -3
Suppose 2*d**3/13 + 18*d**2/13 = 0. What is d?
-9, 0
Factor v**3/3 + 2*v**2/3 - 11*v/3 - 4.
(v - 3)*(v + 1)*(v + 4)/3
Let -2*v**3/11 + 52*v**2/11 + 112*v/11 = 0. What is v?
-2, 0, 28
Determine i so that -i**5 + 3*i**4 - i**3 - 3*i**2 + 2*i = 0.
-1, 0, 1, 2
Factor 2*v**3 + 96*v**2 - 102*v - 196.
2*(v - 2)*(v + 1)*(v + 49)
Solve 8*t**3 - 173*t**2/2 + 127*t/2 + 15 = 0.
-3/16, 1, 10
Find n, given that n**2/10 + 152*n/5 + 11552/5 = 0.
-152
What is g in 3*g**3/8 - 3*g**2/2 + 3*g/2 = 0?
0, 2
Let -y**5 - 22*y**4 - 118*y**3 + 68*y**2 + 407*y + 242 = 0. What is y?
-11, -1, 2
Let -3*h**4 - 132*h**3 + 9*h**2 + 390*h - 264 = 0. What is h?
-44, -2, 1
Let p**3/3 - 3*p**2 + 20*p/3 = 0. What is p?
0, 4, 5
Find n such that -2*n**3/5 - 18*n**2/5 - 22*n/5 + 42/5 = 0.
-7, -3, 1
Solve -4*f**4 + 48*f**3 - 144*f**2 = 0 for f.
0, 6
Find y, given that -29*y**2/10 + 6*y - 2/5 = 0.
2/29, 2
Determine r so that 1126*r**2 - 1122*r - 4 = 0.
-2/563, 1
Factor -2*s**2/19 - 2492*s/19 - 776258/19.
-2*(s + 623)**2/19
Determine t, given that 3*t**2/8 + 321*t/4 + 34347/8 = 0.
-107
Factor 6*k**4/17 + 128*k**3/17 - 274*k**2/17 + 140*k/17.
2*k*(k - 1)**2*(3*k + 70)/17
Suppose -2*d**2/7 - 24*d/7 - 40/7 = 0. What is d?
-10, -2
Factor 39675*j**2/8 + 345*j/2 + 3/2.
3*(115*j + 2)**2/8
Factor c**4/6 + 7*c**3 + 157*c**2/6 + 32*c + 38/3.
(c + 1)**2*(c + 2)*(c + 38)/6
Suppose -20*z**5 + 455*z**4 + 1675*z**3 + 470*z**2 - 2060*z - 520 = 0. What is z?
-2, -1/4, 1, 26
Factor d**2/7 - 8*d/7 + 1.
(d - 7)*(d - 1)/7
Solve -m**4/5 - 2*m**3/5 + 3*m**2/5 + 4*m/5 - 4/5 = 0.
-2, 1
Find x, given that 4*x**5 + 2039*x**4 + 261622*x**3 + 452627*x**2 + 128524*x - 64516 = 0.
-254, -1, 1/4
Let 3*k**5 - 3*k**4 - 18*k**3 = 0. What is k?
-2, 0, 3
Factor f**5/6 - f**4/6 - 5*f**3/6 - f**2/2.
f**2*(f - 3)*(f + 1)**2/6
Factor -2*h**3 + 3590*h**2 - 7174*h + 3586.
-2*(h - 1793)*(h - 1)**2
Let 5*p**5 - 55*p**4 + 150*p**3 = 0. What is p?
0, 5, 6
Factor -5*m**3/3 + 7190*m**2/3 - 14365*m/3 + 7180/3.
-5*(m - 1436)*(m - 1)**2/3
Determine t so that 2*t**3 - 4*t**2 - 10*t + 12 = 0.
-2, 1, 3
Let -4*w**2 - 2624*w - 430336 = 0. Calculate w.
-328
Factor 8*o**3/3 - 170*o**2/3 + 202*o/3 - 40/3.
2*(o - 20)*(o - 1)*(4*o - 1)/3
Let -i**2/4 + 13*i/4 - 11/2 = 0. Calculate i.
2, 11
Let -3*u**4/4 + 9*u**2/4 - 3*u/2 = 0. What is u?
-2, 0, 1
Find q, given that 15*q**3/2 + 50*q**2 + 195*q/2 + 45 = 0.
-3, -2/3
Factor p**3/7 - 73*p**2/7 + 1160*p/7 - 5300/7.
(p - 53)*(p - 10)**2/7
Factor o**2/2 - 8*o/3 - 2.
(o - 6)*(3*o + 2)/6
Factor -5*x**3 - 25*x**2 - 30*x.
-5*x*(x + 2)*(x + 3)
What is t i