*(l - 5)
Factor -q**2/2 + 28*q + 58.
-(q - 58)*(q + 2)/2
Solve -v**2/9 - 31*v/9 - 220/9 = 0 for v.
-20, -11
Factor -y**4 - y**3 + 17*y**2 - 15*y.
-y*(y - 3)*(y - 1)*(y + 5)
Let -3*p**3 + 45*p**2 + 99*p + 51 = 0. What is p?
-1, 17
Factor 236*g**3 - 5892*g**2 - 200*g.
4*g*(g - 25)*(59*g + 2)
Find u such that u**2 + 9*u - 22 = 0.
-11, 2
Suppose 6*o**3/7 - 10928*o**2/7 + 3642*o/7 = 0. What is o?
0, 1/3, 1821
Factor -2*x**3/3 - 94*x**2/3.
-2*x**2*(x + 47)/3
Factor 4*h**4 + 148*h**3 + 548*h**2 + 668*h + 264.
4*(h + 1)**2*(h + 2)*(h + 33)
Find r such that -2*r**3/7 + 20*r**2/7 + 18*r - 1296/7 = 0.
-8, 9
Find o such that 2*o**4 + 74*o**3 - 154*o**2 + 78*o = 0.
-39, 0, 1
Suppose -4*v**5 - 308*v**4 - 6348*v**3 - 15196*v**2 + 25456*v + 65712 = 0. What is v?
-37, -3, -2, 2
Determine p, given that -p**2/4 + 5*p/4 - 1 = 0.
1, 4
Factor 3*p**5 - 1551*p**4 + 202782*p**3 - 599070*p**2 + 595983*p - 198147.
3*(p - 257)**2*(p - 1)**3
What is m in 9*m**4 - 24*m**3 + 12*m**2 = 0?
0, 2/3, 2
Determine w, given that 3*w**3/7 - 216*w**2/7 - 219*w/7 = 0.
-1, 0, 73
Solve 5*n**2/2 + 5*n - 20 = 0.
-4, 2
Factor 5*l**4 + 730*l**3 + 2155*l**2 + 1430*l.
5*l*(l + 1)*(l + 2)*(l + 143)
Factor 3*x**2/4 + 30*x.
3*x*(x + 40)/4
Let 52*j**3 + 1048*j**2 + 2032*j + 288 = 0. Calculate j.
-18, -2, -2/13
Let 4*v**5 + 76*v**4 + 264*v**3 + 376*v**2 + 244*v + 60 = 0. What is v?
-15, -1
Let 5*m**5/3 + 5*m**4 - 15*m**3 + 25*m**2/3 = 0. Calculate m.
-5, 0, 1
Determine r so that r**3/5 + 18*r**2/5 + 29*r/5 - 48/5 = 0.
-16, -3, 1
Factor u**2/4 + 5*u/4 + 1.
(u + 1)*(u + 4)/4
Solve -315*b**5 + 365*b**4 - 10*b**3 - 40*b**2 = 0.
-2/7, 0, 4/9, 1
Let 5*z**2 + 80*z + 320 = 0. What is z?
-8
Let 4*k**5/3 - 4*k**4/3 - 8*k**3/3 = 0. What is k?
-1, 0, 2
Solve x**3/3 + 2*x**2 - 19*x/3 - 8 = 0 for x.
-8, -1, 3
Factor 2*z**2/15 - 136*z/15 - 46/5.
2*(z - 69)*(z + 1)/15
Let 4*l**3/3 + 568*l**2/3 + 556*l = 0. What is l?
-139, -3, 0
Determine y so that -y**3 - 20*y**2 + 183*y - 162 = 0.
-27, 1, 6
Let 4*g**2 - 4 = 0. Calculate g.
-1, 1
What is y in -3*y**2 + 2814*y - 659883 = 0?
469
Solve -2*u**4/5 - 12*u**3/5 - 2*u**2 + 48*u/5 + 72/5 = 0 for u.
-3, -2, 2
What is g in 4*g**5/7 + 72*g**4/7 + 512*g**3/7 + 1800*g**2/7 + 3132*g/7 + 2160/7 = 0?
-5, -4, -3
What is w in -w**5/6 + w**4/6 + 25*w**3/6 - 25*w**2/6 = 0?
-5, 0, 1, 5
Factor -5*a**5/6 + 25*a**4/6.
-5*a**4*(a - 5)/6
Let -3*w**3 + 93*w**2 - 174*w = 0. Calculate w.
0, 2, 29
Factor 12*t**3/5 + 248*t**2/5 + 1168*t/5 + 672/5.
4*(t + 6)*(t + 14)*(3*t + 2)/5
Find i such that 2*i**5 + 98*i**4 + 1146*i**3 - 1450*i**2 - 2500*i = 0.
-25, -1, 0, 2
Let 36*p**4 - 1828*p**3 - 8184*p**2 - 9648*p - 1760 = 0. Calculate p.
-2, -2/9, 55
Factor -j**2/2 - 471*j - 221841/2.
-(j + 471)**2/2
Factor c**4/5 + 6*c**3/5 + c**2.
c**2*(c + 1)*(c + 5)/5
Let -2*r**4/3 + 8*r**3/3 - 2*r**2 = 0. What is r?
0, 1, 3
Solve 10*k**3/7 + 34*k**2/7 + 32*k/7 + 8/7 = 0 for k.
-2, -1, -2/5
Let -3*n**4/4 - 483*n**3/4 + 9*n**2/4 + 1443*n/4 - 483/2 = 0. Calculate n.
-161, -2, 1
What is r in 3*r**4/5 + 981*r**3/5 + 81636*r**2/5 + 232308*r/5 - 314928/5 = 0?
-162, -4, 1
Determine p so that -p**4/3 - 2*p**3 + 32*p**2 - 10*p/3 - 325 = 0.
-13, -3, 5
Factor -2*d**3/11 + 2*d**2/11 + 4*d/11.
-2*d*(d - 2)*(d + 1)/11
What is i in -2*i**4/13 + 206*i**3/13 - 404*i**2/13 = 0?
0, 2, 101
Let m**5 + 27*m**4 + 72*m**3 - 4*m**2 - 96*m = 0. Calculate m.
-24, -2, 0, 1
Factor l**4/2 + 2*l**3 - 2*l**2 - 8*l.
l*(l - 2)*(l + 2)*(l + 4)/2
Factor -m**5/5 - 15*m**4 - 147*m**3/5 - 73*m**2/5.
-m**2*(m + 1)**2*(m + 73)/5
Determine y so that y**3/3 - 608*y**2/3 - 1219*y/3 - 610/3 = 0.
-1, 610
Factor -2*h**5/5 + 6*h**4 - 52*h**3/5.
-2*h**3*(h - 13)*(h - 2)/5
Let g**2/2 + 51*g/2 - 140 = 0. Calculate g.
-56, 5
Let 2*i**2/13 + 996*i/13 + 4930/13 = 0. Calculate i.
-493, -5
Determine a, given that -3*a**5/4 - 37*a**4/4 - 117*a**3/4 - 35*a**2/4 = 0.
-7, -5, -1/3, 0
Suppose -n**4 - 8*n**3 - 5*n**2 + 50*n = 0. Calculate n.
-5, 0, 2
Let -3*o**2 + 318*o + 321 = 0. Calculate o.
-1, 107
Factor 5*c**5 - 15*c**4 - 50*c**3.
5*c**3*(c - 5)*(c + 2)
Suppose w**2 - 183*w - 558 = 0. Calculate w.
-3, 186
Suppose -3*f**2 - 372*f - 11532 = 0. Calculate f.
-62
Suppose 17*o**4 + 18*o**3 - 16*o**2 - 18*o - 1 = 0. Calculate o.
-1, -1/17, 1
Determine i so that -2*i**4 - 58*i**3 = 0.
-29, 0
Factor j**4 - 11*j**3 + 35*j**2 - 25*j.
j*(j - 5)**2*(j - 1)
What is z in -z**3 - 36*z**2 = 0?
-36, 0
Factor h**4/3 + 28*h**3/3 + 65*h**2 - 28*h/3 - 196/3.
(h - 1)*(h + 1)*(h + 14)**2/3
Factor -2*l**2/11 - 24*l/11 - 40/11.
-2*(l + 2)*(l + 10)/11
Suppose p**3 + 3*p**2 - 9*p + 5 = 0. Calculate p.
-5, 1
Factor -h**4/3 - h**3 + 3*h**2 + 23*h/3 + 4.
-(h - 3)*(h + 1)**2*(h + 4)/3
Factor -p**4/3 - 120*p**3.
-p**3*(p + 360)/3
Find z such that 15*z**5 + 54*z**4 - 189*z**3 + 156*z**2 - 36*z = 0.
-6, 0, 2/5, 1
Solve h**3/5 - 7*h**2/5 = 0.
0, 7
Determine v so that -v**5 + 14*v**4 - 77*v**3 + 208*v**2 - 276*v + 144 = 0.
2, 3, 4
Factor 3*m**4 + 6*m**3 - 3*m**2 - 6*m.
3*m*(m - 1)*(m + 1)*(m + 2)
Let -32*h**4/5 + 13*h**3 - 2*h**2/5 = 0. Calculate h.
0, 1/32, 2
Factor 3*m**3 + 768*m**2 + 50652*m + 190512.
3*(m + 4)*(m + 126)**2
Factor 7*m**4/4 + 27*m**3/2 + 131*m**2/4 + 21*m - 9.
(m + 2)*(m + 3)**2*(7*m - 2)/4
Factor 800*h**2 + 240*h + 18.
2*(20*h + 3)**2
Factor 5*o**3 + 40*o**2 - 45*o.
5*o*(o - 1)*(o + 9)
Factor -2*q**2/5 + 6*q + 68/5.
-2*(q - 17)*(q + 2)/5
Determine t, given that -t**3 + 23*t**2 - 160*t + 300 = 0.
3, 10
Factor -5*q**3 + 90*q**2 - 480*q + 800.
-5*(q - 10)*(q - 4)**2
Let 2*a**5/3 - 10*a**4/3 - 88*a**3/3 - 40*a**2 = 0. What is a?
-3, -2, 0, 10
Factor -5*g**3 - 740*g**2 - 30100*g - 196000.
-5*(g + 8)*(g + 70)**2
Let 8*a**4/7 - 1434*a**3/7 + 65150*a**2/7 - 79566*a/7 + 15842/7 = 0. What is a?
1/4, 1, 89
Factor -j**2 - 142*j - 685.
-(j + 5)*(j + 137)
Solve -2*h**4/7 + 104*h**3/7 - 390*h**2/7 + 288*h/7 = 0 for h.
0, 1, 3, 48
What is s in 2*s**4 - 84*s**3 + 80*s**2 + 84*s - 82 = 0?
-1, 1, 41
Suppose 2*c**4/11 + 18*c**3/11 - 28*c**2/11 - 72*c/11 + 80/11 = 0. Calculate c.
-10, -2, 1, 2
Factor -7*h**3/4 + 19*h**2 + 145*h - 1600.
-(h - 10)**2*(7*h + 64)/4
Determine a so that -14*a**2 + 1018*a + 292 = 0.
-2/7, 73
Determine s, given that 5*s**5 - 555*s**4 - 1145*s**3 + 1675*s**2 + 2280*s - 2260 = 0.
-2, 1, 113
Factor -n**3/4 + 53*n**2/4 - 75*n/2.
-n*(n - 50)*(n - 3)/4
Find y such that -2*y**5 + 45*y**4 - 248*y**3 + 321*y**2 + 376*y - 240 = 0.
-1, 1/2, 4, 15
Factor 14*d**4 + 844*d**3 + 240*d**2.
2*d**2*(d + 60)*(7*d + 2)
Factor -h**4/8 + 3*h**3/4 - 3*h**2/2 + 5*h/4 - 3/8.
-(h - 3)*(h - 1)**3/8
Factor -2*x**3/15 - 2074*x**2/15 - 106912*x/3 + 108160.
-2*(x - 3)*(x + 520)**2/15
Factor 2*o**2 + 32*o - 672.
2*(o - 12)*(o + 28)
Determine x, given that -3*x**4/2 - 50*x**3 - 386*x**2 + 280*x = 0.
-20, -14, 0, 2/3
Determine p, given that -4*p**3/7 + 48*p**2/7 + 52*p/7 = 0.
-1, 0, 13
Factor -2*h**3 + 12*h**2 + 72*h + 80.
-2*(h - 10)*(h + 2)**2
Factor 8*s**3 + 1464*s**2 - 4446*s + 3348.
2*(s + 186)*(2*s - 3)**2
Find u such that -52*u**4 + 258*u**3 - 354*u**2 + 142*u + 6 = 0.
-1/26, 1, 3
What is q in 2*q**2/9 - 4*q/3 - 14/9 = 0?
-1, 7
Factor -3*b**3 + 11256*b**2.
-3*b**2*(b - 3752)
Find v, given that 5*v**3 + 40*v**2 - 80*v - 640 = 0.
-8, -4, 4
Determine u so that -15*u**4 - 140*u**3 + 270*u**2 - 60*u - 55 = 0.
-11, -1/3, 1
Suppose 3025*c**5 + 12815*c**4 + 11496*c**3 + 284*c**2 - 1568*c + 192 = 0. Calculate c.
-3, -4/5, 2/11
Factor 2*i**2/3 - 10*i/3 - 28/3.
2*(i - 7)*(i + 2)/3
Factor 2*w**3/3 - 56*w**2/3 + 104*w/3.
2*w*(w - 26)*(w - 2)/3
Suppose d**4/4 - 3*d**3/2 - 2*d**2 + 3*d/2 + 7/4 = 0. Calculate d.
-1, 1, 7
Find d, given that -5*d**4 + 50*d**3 - 20*d**2 - 210*d - 135 = 0.
-1, 3, 9
Factor -5*h**3 - 160*h**2 + 960*h + 46080.
-5*(h - 16)*(h + 24)**2
Suppose 4*v**4 - 76*v**3 + 416*v**2 - 560*v = 0. What is v?
0, 2, 7, 10
Determine w so that -2*w**3/7 + 368*w**2/7 - 16928*w/7 = 0.
0, 92
Determine p, given that -32*p**2 + 68*p - 8 = 0.
1/8, 2
Factor p**4 - 6*p**3 - p**2 + 30*p.
p*(p - 5)*(p - 3)*(p + 2)
Suppose 6*c**4 + 15*c**3 + 9*c**2 - 3*c - 3 = 0. What is c?
-1, 1/2
Factor 3*z**5 + 42*z**4 + 144*z**3 - 42*z**2 - 147*z.
3*z*(z - 1)*(z + 1)*(z + 7)**2
Factor s**2/4 + s - 21/4.
(s - 3)*(s + 7)/4
Factor -10*f**2 - 36*f + 16.
-2*(f + 4)*(5*f - 2)
Factor 4*i**3 + 16500*i**2 + 22687500*i + 10398437500.
4*(i + 1375