3 - 456*w**2 + 1172*w - 630.
-2*(w - 1)**2*(w + 9)*(w + 35)
Find j, given that 4*j**3 - 248*j**2 - 780*j = 0.
-3, 0, 65
Factor r**2/2 + 11*r/2 + 5.
(r + 1)*(r + 10)/2
Factor y**3/4 - 27*y**2/4 + 60*y - 175.
(y - 10)**2*(y - 7)/4
Factor 2*s**3/5 - 5*s**2 - 13*s/5.
s*(s - 13)*(2*s + 1)/5
Factor 2*n**2/7 - 582*n/7 - 252.
2*(n - 294)*(n + 3)/7
Find z, given that -4*z**4 - 48*z**3 + 116*z**2 + 48*z - 112 = 0.
-14, -1, 1, 2
Solve -a**3/2 + 5*a**2 + a/2 - 5 = 0 for a.
-1, 1, 10
Determine f so that 9*f**3/4 + 3*f**2/2 - 3*f/4 = 0.
-1, 0, 1/3
Find k such that k**5 - 108*k**3 - 432*k**2 = 0.
-6, 0, 12
Find i such that i**2/6 + 34*i/3 - 70/3 = 0.
-70, 2
Find l such that -2*l**5/3 - 2*l**4/3 + 2*l**3/3 + 2*l**2/3 = 0.
-1, 0, 1
Let 2*b**2 - 90*b - 188 = 0. What is b?
-2, 47
Factor -3*i**2/4 - 9*i + 21.
-3*(i - 2)*(i + 14)/4
Factor -2*a**2/17 - 10*a.
-2*a*(a + 85)/17
Find c such that -2*c**5/3 - 4*c**4/3 + 4*c**3 + 8*c**2/3 - 26*c/3 + 4 = 0.
-3, -2, 1
Factor -9*a**4 + 12*a**3 - 3*a**2.
-3*a**2*(a - 1)*(3*a - 1)
Let 3*q**2/5 + 744*q/5 + 1152 = 0. What is q?
-240, -8
Factor 3*k**3 + 3*k**2 - 3*k - 3.
3*(k - 1)*(k + 1)**2
Factor 2*i**2 - 8*i + 6.
2*(i - 3)*(i - 1)
Factor -t**5 - 12*t**4 - 21*t**3 - 10*t**2.
-t**2*(t + 1)**2*(t + 10)
Factor 2*d**4/9 - 2*d**3/9 - 2*d**2/3 + 2*d/9 + 4/9.
2*(d - 2)*(d - 1)*(d + 1)**2/9
Solve 3*t**5/2 - 21*t**4/2 + 27*t**3/2 + 21*t**2/2 - 15*t = 0 for t.
-1, 0, 1, 2, 5
Factor k**3 - 41*k**2 + 218*k - 280.
(k - 35)*(k - 4)*(k - 2)
Let i**5 + 18*i**4 + 55*i**3 - 18*i**2 - 56*i = 0. Calculate i.
-14, -4, -1, 0, 1
Factor 2*s**2/3 - 156*s + 1840/3.
2*(s - 230)*(s - 4)/3
Let 2*n**4/19 - 148*n**3/19 + 142*n**2/19 + 292*n/19 = 0. Calculate n.
-1, 0, 2, 73
Factor -2*i**4/3 + 28*i**3/3 - 40*i**2 + 208*i/3 - 128/3.
-2*(i - 8)*(i - 2)**3/3
Determine q, given that -4*q**4 - 1708*q**3 - 8440*q**2 = 0.
-422, -5, 0
Factor -2*y**2/7 + 18*y/7 + 20/7.
-2*(y - 10)*(y + 1)/7
Solve -4*y**2/7 + 80*y/7 + 176/7 = 0 for y.
-2, 22
Determine x so that 3*x**3 + 201*x**2 + 381*x - 585 = 0.
-65, -3, 1
Factor -2*r**4/9 + 16*r**3/9 + 22*r**2/9 - 4*r.
-2*r*(r - 9)*(r - 1)*(r + 2)/9
What is a in -2*a**3/5 - 4*a**2/5 + 10*a + 20 = 0?
-5, -2, 5
Let d**5/3 - 41*d**4 + 4079*d**3/3 - 18353*d**2/3 + 9440*d - 13924/3 = 0. Calculate d.
1, 2, 59
Suppose l**3/4 + 17*l**2/2 + 16*l = 0. Calculate l.
-32, -2, 0
Factor -v**3/3 + 17*v**2/3 + 80*v/3 + 28.
-(v - 21)*(v + 2)**2/3
Find g, given that 12*g**5 - 47*g**4/4 - 27*g**3/2 + 13*g**2 + 3*g/2 - 5/4 = 0.
-1, -1/3, 5/16, 1
Determine k so that -3*k**3 - 3*k**2 + 3*k + 3 = 0.
-1, 1
Determine q, given that -2*q**3/7 - 72*q**2/7 - 264*q/7 - 256/7 = 0.
-32, -2
Factor -3*t**3/5 - 2817*t**2/5 - 131976*t + 132540.
-3*(t - 1)*(t + 470)**2/5
Factor c**2 + 24*c + 144.
(c + 12)**2
Find t, given that 2*t**2/7 + 10722*t/7 + 10720/7 = 0.
-5360, -1
Factor -3*n**3/5 - 21*n**2/5 + 1764*n/5.
-3*n*(n - 21)*(n + 28)/5
Solve -t**2/4 - 176*t + 353 = 0.
-706, 2
Factor 3*m**2 + 87*m - 288.
3*(m - 3)*(m + 32)
Factor -2*a**4 - 5024*a**3 - 4732608*a**2 - 1981385216*a - 311077478912.
-2*(a + 628)**4
What is a in 2*a**3/15 + 4*a**2/3 - 22*a/15 = 0?
-11, 0, 1
Find s, given that -2*s**3 - 222*s**2 + 1148*s - 1392 = 0.
-116, 2, 3
Suppose -v**4/7 + 8*v**3/7 + 20*v**2/7 = 0. What is v?
-2, 0, 10
Factor -5*j**2 - 190*j - 680.
-5*(j + 4)*(j + 34)
Find j such that 4*j**2/3 - 720*j + 2156/3 = 0.
1, 539
Suppose -3*u**2 + 315*u + 642 = 0. What is u?
-2, 107
Factor -3*m**3 + 216*m**2 - 4284*m + 13872.
-3*(m - 34)**2*(m - 4)
Solve 3*h**3/4 - 3*h/4 = 0.
-1, 0, 1
Find d such that -5*d**4 - 35*d**3 - 85*d**2 - 85*d - 30 = 0.
-3, -2, -1
Find m, given that 12*m**5 - 124*m**4 + 244*m**3 - 164*m**2 + 32*m = 0.
0, 1/3, 1, 8
Determine t so that -t**5 - 32*t**4 - 356*t**3 - 1648*t**2 - 3264*t - 2304 = 0.
-12, -4, -2
Factor o**4/3 + 14*o**3/3 + 13*o**2/3.
o**2*(o + 1)*(o + 13)/3
Factor -3*r**2/2 + 861*r - 247107/2.
-3*(r - 287)**2/2
Factor 3*o**2/7 - 90*o/7 - 648/7.
3*(o - 36)*(o + 6)/7
Let 64*q**3 + 1040*q**2 + 257*q + 16 = 0. Calculate q.
-16, -1/8
Factor 5*v**2 + 9750*v + 4753125.
5*(v + 975)**2
Find q, given that -q**2/7 + 17*q/7 + 200/7 = 0.
-8, 25
Factor 2*z**2 + 54*z - 648.
2*(z - 9)*(z + 36)
Determine k so that -5*k**3 - 665*k**2 - 21775*k + 22445 = 0.
-67, 1
Factor 5*z**5 - 1235*z**4 - 21990*z**3 - 118260*z**2 - 143640*z + 285120.
5*(z - 264)*(z - 1)*(z + 6)**3
Factor -2*h**4 + 22*h**3 - 52*h**2 + 32*h.
-2*h*(h - 8)*(h - 2)*(h - 1)
Factor -4*q**2/7 - 80*q/7 - 256/7.
-4*(q + 4)*(q + 16)/7
Let -z**3/4 + 4*z**2 - 25*z/4 - 21/2 = 0. What is z?
-1, 3, 14
Suppose k**2 + 56*k + 108 = 0. Calculate k.
-54, -2
Let 5*m**2 - 2230*m + 248645 = 0. What is m?
223
Solve -12*g**4/7 - 68*g**3/7 - 12*g**2/7 + 132*g/7 - 40/7 = 0 for g.
-5, -2, 1/3, 1
Factor -3*v**2 + 12*v + 63.
-3*(v - 7)*(v + 3)
Factor 245*y**2 - 3990*y + 16245.
5*(7*y - 57)**2
Factor -3*k**2/5 + 648*k/5 - 34992/5.
-3*(k - 108)**2/5
Factor -t**3/4 - 39*t**2/4 + 43*t.
-t*(t - 4)*(t + 43)/4
Determine x, given that 4*x**4 - 232*x**3/5 + 752*x**2/5 - 792*x/5 + 252/5 = 0.
3/5, 1, 3, 7
What is j in 2*j**3/7 + 2*j**2 - 36*j/7 = 0?
-9, 0, 2
Determine j, given that 6*j**5 + 190*j**4 + 82*j**3 - 1366*j**2 - 2008*j - 744 = 0.
-31, -2, -1, -2/3, 3
Factor 14*u**3 + 220*u**2 + 832*u - 256.
2*(u + 8)**2*(7*u - 2)
Determine t, given that 3*t**4 - 3*t**3 - 9*t**2 + 3*t + 6 = 0.
-1, 1, 2
Factor d**3 + 8*d**2 + 19*d + 12.
(d + 1)*(d + 3)*(d + 4)
Factor -4*k**2 - 2968*k - 550564.
-4*(k + 371)**2
Find l, given that -l**2/4 + 170*l - 28900 = 0.
340
Factor 3*f**2 + 378*f + 1815.
3*(f + 5)*(f + 121)
Let 3*y**2 + 63*y - 486 = 0. Calculate y.
-27, 6
Determine k, given that k**4 + 9*k**3 + 15*k**2 + 7*k = 0.
-7, -1, 0
Factor -5*k**3 - 4695*k**2 - 1469535*k - 153321485.
-5*(k + 313)**3
Factor 2*u**3/7 - 4*u**2/7 - 2*u/7 + 4/7.
2*(u - 2)*(u - 1)*(u + 1)/7
Factor 3*a**3/2 + 357*a**2/2 - 735*a/2 - 1089/2.
3*(a - 3)*(a + 1)*(a + 121)/2
Factor 2*g**4 + 12*g**3 + 18*g**2 - 8*g - 24.
2*(g - 1)*(g + 2)**2*(g + 3)
Determine n so that 2*n**4/7 + 8*n**3/7 - 6*n**2 = 0.
-7, 0, 3
Determine y so that 62*y**2/5 + 98*y/15 + 4/5 = 0.
-1/3, -6/31
Suppose -9*h**3 + 1185*h**2 - 38808*h - 13068 = 0. Calculate h.
-1/3, 66
Find v such that v**4 - 72*v**3 + 1816*v**2 - 18720*v + 67600 = 0.
10, 26
Factor 8*x**5/5 - 18*x**4/5 + 4*x**3/5.
2*x**3*(x - 2)*(4*x - 1)/5
Factor 2*z**3/11 + 131*z**2/11 - 67*z/11 - 6.
(z - 1)*(z + 66)*(2*z + 1)/11
Factor g**2/2 + 1043*g + 1087849/2.
(g + 1043)**2/2
Factor 3*z**4 - 135*z**3 + 1701*z**2 - 3969*z.
3*z*(z - 21)**2*(z - 3)
Factor -4*h**4 + 20*h**3 + 88*h**2 + 64*h.
-4*h*(h - 8)*(h + 1)*(h + 2)
Let -6*o**3/5 - 652*o**2/5 + 222*o/5 + 436/5 = 0. Calculate o.
-109, -2/3, 1
Factor y**4/3 + y**3 + 2*y**2/3.
y**2*(y + 1)*(y + 2)/3
Factor 121*j**2/4 + 33*j + 9.
(11*j + 6)**2/4
Factor -h**5/5 + 6*h**4/5 - 9*h**3/5.
-h**3*(h - 3)**2/5
Suppose 2*l**3/13 - 216*l**2/13 + 424*l/13 = 0. What is l?
0, 2, 106
Let 5*k**5 - 35*k**4 + 80*k**3 - 60*k**2 = 0. Calculate k.
0, 2, 3
Find a, given that 4*a**4 - 416*a**3 + 14280*a**2 - 156800*a - 171500 = 0.
-1, 35
Let 5*z**2/2 - 11350*z + 12882250 = 0. Calculate z.
2270
What is z in -2*z**4/15 - 4*z**3/3 - 22*z**2/5 - 88*z/15 - 8/3 = 0?
-5, -2, -1
Suppose 2*w**2 - 268*w = 0. Calculate w.
0, 134
Factor -4*z**3 - 12*z**2 + 112*z + 240.
-4*(z - 5)*(z + 2)*(z + 6)
Solve 4*b**4/7 - 60*b**3/7 - 4*b**2/7 + 60*b/7 = 0 for b.
-1, 0, 1, 15
Find w, given that 2*w**3/9 + 190*w**2/9 - 196*w/3 = 0.
-98, 0, 3
Factor -16*y**2 - y/3.
-y*(48*y + 1)/3
Factor 2*r**3/3 - 1562*r**2/3.
2*r**2*(r - 781)/3
Factor -5*s**3 - 260*s**2 - 505*s - 250.
-5*(s + 1)**2*(s + 50)
Factor g**3/5 - 4*g**2/5 - 12*g/5.
g*(g - 6)*(g + 2)/5
Factor 5*m**2 + 450*m + 10125.
5*(m + 45)**2
Factor -5*a**3/4 + 135*a**2/4 - 115*a.
-5*a*(a - 23)*(a - 4)/4
Factor 4*z**3 + 356*z**2 - 3860*z + 9900.
4*(z - 5)**2*(z + 99)
Let -5*u**2/2 + 75*u - 140 = 0. What is u?
2, 28
Solve -u**2/5 + 64*u - 319/5 = 0.
1, 319
Factor 4*z**5 + 56*z**4 - 128*z**3.
4*z**3*(z - 2)*(z + 16)
Determine p so that 2*p**3/5 + 36*p**2/5 - 2*p/5 - 36/5 = 0.
-18, -1, 1
Factor 3*o**4/4 + 15*o**3/4 - 9*o**2/4 - 51*o/4 - 15/2.
3*(o - 2)*(o + 1)**2*(o + 5)/4
Factor -o**4/5 - 32*o**3/5 - 352*o**2/5 - 1536*o/5 - 2304/5.
-(o + 4)**2*(o + 12)**2/5
Suppose 6*k**3 + 118*k**2 + 184*k + 72 = 0. What is k?
-18,