42*k.
-3*k*(k - 2)*(k + 7)
Let 2*w**2/3 + 110*w/3 + 36 = 0. What is w?
-54, -1
Solve 864*j**4 + 3888*j**3 + 6552*j**2 + 4900*j + 1372 = 0.
-7/6, -1
Find d such that -d**4 - 86*d**3 - 2232*d**2 - 9610*d + 208537 = 0.
-31, 7
Find x, given that 4*x**5 + 36*x**4 + 56*x**3 - 8*x**2 - 60*x - 28 = 0.
-7, -1, 1
Determine d, given that 5*d**2 + 170*d - 760 = 0.
-38, 4
What is n in 2*n**5/5 - 8*n**3/5 + 4*n**2/5 + 6*n/5 - 4/5 = 0?
-2, -1, 1
Find h, given that -h**4/4 + 9*h**3/2 + 63*h**2/4 = 0.
-3, 0, 21
Solve l**4/5 + 2*l**3/5 - l**2/5 - 2*l/5 = 0 for l.
-2, -1, 0, 1
Suppose -5*i**2 - 3215*i - 12780 = 0. Calculate i.
-639, -4
Find j, given that 14*j**2 - 18*j = 0.
0, 9/7
Factor 2*f**2 - 284*f + 282.
2*(f - 141)*(f - 1)
Find v such that -v**3/3 - 5*v**2/3 + 56*v/3 + 20 = 0.
-10, -1, 6
Suppose 3*t**5 + 72*t**4/5 + 24*t**3 + 78*t**2/5 + 9*t/5 - 6/5 = 0. What is t?
-2, -1, 1/5
Factor 2*v**2 + 6*v - 216.
2*(v - 9)*(v + 12)
Factor 2*p**2/3 - 178*p/3 + 176/3.
2*(p - 88)*(p - 1)/3
Factor 4*r**2 + 2484*r.
4*r*(r + 621)
Find o such that 9*o**4/7 + 16*o**3/7 - 571*o**2/7 + 18*o = 0.
-9, 0, 2/9, 7
Factor 3*q**2/7 - 144*q/7 + 1728/7.
3*(q - 24)**2/7
What is f in -2*f**2/5 - 716*f/5 - 714/5 = 0?
-357, -1
Let 3*k**3/5 + 411*k**2/5 - 3*k/5 - 411/5 = 0. Calculate k.
-137, -1, 1
Suppose 5*d**4/2 + 550*d**3 + 29130*d**2 - 123200*d + 125440 = 0. What is d?
-112, 2
Solve -4*z**2 - 8*z + 32 = 0.
-4, 2
Factor 3*d**2/4 - 15*d/2 + 27/4.
3*(d - 9)*(d - 1)/4
Factor -10*i**2 + 245*i - 120.
-5*(i - 24)*(2*i - 1)
Determine y so that -5*y**3 - 5*y**2 + 60*y = 0.
-4, 0, 3
Factor 2*r**2/7 + 66*r - 464/7.
2*(r - 1)*(r + 232)/7
Factor 5*n**2 - 25320*n + 32055120.
5*(n - 2532)**2
Solve -2*f**3/3 + 328*f**2/3 - 12410*f/3 - 28900 = 0 for f.
-6, 85
Factor -2*j**3 + 12*j**2 + 8*j - 48.
-2*(j - 6)*(j - 2)*(j + 2)
Let 4*p**3 - 32*p**2 + 48*p = 0. What is p?
0, 2, 6
Suppose -3*a**2 + 291*a - 570 = 0. What is a?
2, 95
Determine r so that 4*r**3 - 16*r**2 - 76*r - 56 = 0.
-2, -1, 7
Factor -2*n**3/17 + 292*n**2/17.
-2*n**2*(n - 146)/17
Let j**2 - 483*j = 0. What is j?
0, 483
Find z such that -2*z**2/7 - 110*z/7 = 0.
-55, 0
Factor -a**3/3 - 236*a**2/3 - 1385*a/3 - 1150/3.
-(a + 1)*(a + 5)*(a + 230)/3
Factor 2*y**4/5 - 82*y**3/5 + 234*y**2/5 - 46*y + 76/5.
2*(y - 38)*(y - 1)**3/5
Determine x so that 4*x**2 - 32*x - 36 = 0.
-1, 9
Let -2*o**5/7 + 2*o**4/7 + 36*o**3/7 + 8*o**2/7 - 176*o/7 - 192/7 = 0. Calculate o.
-2, 3, 4
Factor 3*t**4/2 - 21*t**3/2 - 9*t**2 + 108*t.
3*t*(t - 6)*(t - 4)*(t + 3)/2
Factor -3*z**2/5 + 96*z/5 - 261/5.
-3*(z - 29)*(z - 3)/5
Factor l**4/5 - 3*l**2/5 + 2*l/5.
l*(l - 1)**2*(l + 2)/5
Factor -3*o**2 + 2748*o - 5484.
-3*(o - 914)*(o - 2)
Factor 2*t**3 - 20*t**2 + 18*t.
2*t*(t - 9)*(t - 1)
Factor -20*d**2/9 - 2*d/3 + 2/9.
-2*(2*d + 1)*(5*d - 1)/9
Factor -y**2 - 20*y - 51.
-(y + 3)*(y + 17)
Suppose 16*u**5/9 + 424*u**4/9 + 331*u**3/3 + 802*u**2/9 + 241*u/9 + 8/3 = 0. What is u?
-24, -1, -1/4
Factor -y**3 - 26*y**2 - 139*y + 390.
-(y - 2)*(y + 13)*(y + 15)
Determine i, given that 5*i**5 - 20*i**4 + 15*i**3 + 20*i**2 - 20*i = 0.
-1, 0, 1, 2
Let 35*a**4 - 2390*a**3 + 645*a**2 + 2390*a - 680 = 0. What is a?
-1, 2/7, 1, 68
Let 2*x**5 - 4*x**4 + 4*x**2 - 2*x = 0. Calculate x.
-1, 0, 1
Factor -f**4 - 60*f**3 - 1012*f**2 - 3360*f - 3136.
-(f + 2)**2*(f + 28)**2
Let -45*l**4 - 327*l**3 - 342*l**2 + 12*l + 72 = 0. What is l?
-6, -1, -2/3, 2/5
Let -2*m**5/9 - 2*m**4/9 + 46*m**3/9 + 82*m**2/9 - 44*m/9 - 80/9 = 0. What is m?
-4, -2, -1, 1, 5
Find j, given that 2*j**5/3 + 4*j**4/3 - 14*j**3/3 + 8*j**2/3 = 0.
-4, 0, 1
Factor -3*q**2/5 - 1890*q - 1488375.
-3*(q + 1575)**2/5
Factor -f**2/5 - 9*f/5 + 162/5.
-(f - 9)*(f + 18)/5
Let -2*s**2/13 - 190*s/13 = 0. What is s?
-95, 0
What is y in 4*y**5/9 - 8*y**4/9 - 100*y**3/9 + 8*y**2/9 + 32*y/3 = 0?
-4, -1, 0, 1, 6
Determine i, given that i**4/2 + 15*i**3 - 16*i**2 - 15*i + 31/2 = 0.
-31, -1, 1
Factor -320*v**2 - 2882*v - 18.
-2*(v + 9)*(160*v + 1)
Determine n so that -5*n**3 + 20*n**2 + 5*n - 20 = 0.
-1, 1, 4
Factor 4*w**4 + 196*w**3 - 892*w**2 - 2356*w - 1272.
4*(w - 6)*(w + 1)**2*(w + 53)
Factor -2*a**4 + 4*a**3 + 6*a**2.
-2*a**2*(a - 3)*(a + 1)
Suppose 2*b**5/13 - 10*b**4/13 + 40*b**2/13 - 32*b/13 = 0. What is b?
-2, 0, 1, 2, 4
Factor 2*i**2 - 278*i + 276.
2*(i - 138)*(i - 1)
Factor -d**4 + 5*d**3 - 3*d**2 - 5*d + 4.
-(d - 4)*(d - 1)**2*(d + 1)
Let -3*h**5/7 - 99*h**4/7 - 762*h**3/7 + 138*h**2 + 765*h/7 - 867/7 = 0. What is h?
-17, -1, 1
Factor 2*q**3/7 - 160*q**2 - 2246*q/7 - 1124/7.
2*(q - 562)*(q + 1)**2/7
Factor -3*v**3/4 + 675*v**2/4 - 37629*v/4 - 38307/4.
-3*(v - 113)**2*(v + 1)/4
What is y in -3*y**4/5 + 36*y**3 - 810*y**2 + 8100*y - 30375 = 0?
15
Determine i, given that -i**2/6 + i/3 + 4/3 = 0.
-2, 4
Factor 3*b**3 - 63*b**2 + 114*b.
3*b*(b - 19)*(b - 2)
Let 4*s**5 + 2908*s**4 + 529976*s**3 + 524168*s**2 - 529980*s - 527076 = 0. Calculate s.
-363, -1, 1
Factor 5*f**5/3 - 80*f**4/3 - 175*f**3/3 - 30*f**2.
5*f**2*(f - 18)*(f + 1)**2/3
Factor -5*c**2 + 490*c - 12005.
-5*(c - 49)**2
Factor -4*m**4 - 4*m**3 + 8*m**2.
-4*m**2*(m - 1)*(m + 2)
Factor 2*y**2/5 + 12*y/5 - 32/5.
2*(y - 2)*(y + 8)/5
Factor -2*l**4/15 - 8*l**3/15 - 8*l**2/15.
-2*l**2*(l + 2)**2/15
Find b, given that 106*b**3/3 + 140*b**2 + 136*b - 16/3 = 0.
-2, 2/53
Solve -4*d**3/9 + 64*d**2/9 - 220*d/9 = 0 for d.
0, 5, 11
Let -135*v**4/2 - 3012*v**3 - 110932*v**2/3 - 74480*v - 72200/3 = 0. Calculate v.
-190/9, -2, -2/5
Factor 2*s**3/7 + 40*s**2/7 - 6*s.
2*s*(s - 1)*(s + 21)/7
What is x in 2*x**3 - 60*x**2 - 2*x + 60 = 0?
-1, 1, 30
Determine k, given that 2*k**2/11 - 46*k/11 + 224/11 = 0.
7, 16
Determine m so that -2*m**5/3 - 362*m**4/9 + 1384*m**3/9 - 1528*m**2/9 + 512*m/9 = 0.
-64, 0, 2/3, 1, 2
Solve -c**5/5 + 5*c**4 - 18*c**3 + 26*c**2 - 17*c + 21/5 = 0.
1, 21
Factor -5*j**2 - 25*j - 20.
-5*(j + 1)*(j + 4)
Factor -3*x**3 - 252*x**2 - 7056*x - 65856.
-3*(x + 28)**3
Find x, given that 8*x**5/5 + 16*x**4/5 + 2*x**3/5 - 14*x**2/5 - 2*x - 2/5 = 0.
-1, -1/2, 1
Determine t, given that -6*t**3/5 - 158*t**2/5 - 48*t/5 + 104/5 = 0.
-26, -1, 2/3
Determine o so that o**3/4 - 9*o**2/4 + 27 = 0.
-3, 6
Determine y so that -2*y**4 - 88*y**3 - 602*y**2 - 948*y - 432 = 0.
-36, -6, -1
Factor 3*p**2 - 9*p - 30.
3*(p - 5)*(p + 2)
Find i, given that i**3 + 115*i**2 - i - 115 = 0.
-115, -1, 1
Suppose -p**2 + 51*p - 98 = 0. What is p?
2, 49
Determine q, given that -4*q**3 - 1196*q**2 - 4736*q - 4720 = 0.
-295, -2
Factor -3*g**4/4 - 3*g**3/2 + 15*g**2/4 + 9*g/2.
-3*g*(g - 2)*(g + 1)*(g + 3)/4
Solve -4*h**4 + 28*h**3 - 64*h**2 + 48*h = 0 for h.
0, 2, 3
Determine o, given that -2*o**4/7 - 24316*o**3/7 - 73908482*o**2/7 = 0.
-6079, 0
Determine k so that -k**5/3 + 4*k**4 - 38*k**3/3 + 52*k**2/3 - 11*k + 8/3 = 0.
1, 8
Factor a**2 + 63*a + 122.
(a + 2)*(a + 61)
Let -70*w**3 + 983*w**2 + 1159*w + 106 = 0. What is w?
-1, -1/10, 106/7
Suppose -3*w**2/7 + 3*w/7 + 18/7 = 0. What is w?
-2, 3
Factor -3*u**3/2 - 6*u**2 + 21*u/2 + 15.
-3*(u - 2)*(u + 1)*(u + 5)/2
Let 2*j**3/9 + 74*j**2/9 + 154*j/3 - 490 = 0. What is j?
-21, 5
Factor 980*u**3 + 560*u**2 - 375*u + 45.
5*(u + 1)*(14*u - 3)**2
Let -4*l**3 - 116*l**2 - 216*l = 0. What is l?
-27, -2, 0
Factor 14*a**3/9 - 2*a**2/9 - 14*a/9 + 2/9.
2*(a - 1)*(a + 1)*(7*a - 1)/9
Determine d, given that 15*d**3/4 + 51*d**2/4 + 12*d + 3 = 0.
-2, -1, -2/5
Find w, given that -3*w**3 - 585*w**2 - 28224*w + 28812 = 0.
-98, 1
Factor -4*w**3 - 10520*w**2.
-4*w**2*(w + 2630)
Factor -3*u**2 + 45*u.
-3*u*(u - 15)
Suppose h**2/10 + 3*h - 31/10 = 0. Calculate h.
-31, 1
Factor -2*h**3/5 + 2*h**2 - 16*h/5 + 8/5.
-2*(h - 2)**2*(h - 1)/5
Suppose 25*b**4/2 + 585*b**3/2 + 3605*b**2/2 + 6975*b/2 + 1125 = 0. Calculate b.
-15, -5, -3, -2/5
Factor -j**4/3 + 5*j**3/3 + j**2 - 17*j/3 + 10/3.
-(j - 5)*(j - 1)**2*(j + 2)/3
Factor 2*o**3/5 - 4*o**2/5 - 62*o/5 - 56/5.
2*(o - 7)*(o + 1)*(o + 4)/5
Determine f so that -50*f**5 + 4330*f**4 - 124412*f**3 + 1169164*f**2 + 482734*f + 48778 = 0.
-1/5, 29
Factor -5*z**3 + 149*z**2 - 116*z.
-z*(z - 29)*(5*z - 4)
Factor -v**2 + 28*v - 75.
-(v - 25)*(v - 3)
Factor -i**2/5 - 17*i/5 - 14.
-(i + 7)*(i + 10)/5
Solve -2*k**2/5 + 8*k/5 = 0.
0, 4
What is l in -13005*l**2/2 + 510*l - 10 = 0?
2/51
Factor -y**2/3 - y + 6.
-(y - 3)*(y + 6)/3
Suppose -2*x**2/3 - 64*x/3 + 182 = 0. W