that 3*g**3 + 3*g**2 - 90*g = 0.
-6, 0, 5
Find d, given that d**2/8 - 17*d/2 + 67/8 = 0.
1, 67
Let -3*i**2 + 1182*i - 116427 = 0. What is i?
197
What is s in -4*s**2 + 2248*s = 0?
0, 562
Factor -5*i**5 + 925*i**4 - 5430*i**3 + 10780*i**2 - 7160*i.
-5*i*(i - 179)*(i - 2)**3
Factor 3*r**2 - 99*r - 1290.
3*(r - 43)*(r + 10)
Find y, given that -3*y**4 - 12*y**3 + 15*y**2 = 0.
-5, 0, 1
Find t such that -12*t**2 + 2312*t + 772 = 0.
-1/3, 193
Factor u**3 + 7*u**2 + 15*u + 9.
(u + 1)*(u + 3)**2
Factor 1145*q**2 - 1085*q - 60.
5*(q - 1)*(229*q + 12)
Suppose 2*h**2/11 - 4*h/11 + 2/11 = 0. What is h?
1
Factor -5*m**3/4 - 3*m**2 + 11*m/4 + 3/2.
-(m - 1)*(m + 3)*(5*m + 2)/4
Factor t**5 - 13*t**4 + 9*t**3 + 41*t**2 - 62*t + 24.
(t - 12)*(t - 1)**3*(t + 2)
Let r**2/4 + 47*r/4 - 49/2 = 0. Calculate r.
-49, 2
Find b, given that -4*b**2 - 1220*b - 3624 = 0.
-302, -3
What is x in 4*x**5 + 682*x**4 + 3652*x**3 + 3600*x**2 - 4968*x - 2970 = 0?
-165, -3, -1/2, 1
Determine t, given that -5*t**2 - 4250*t - 903125 = 0.
-425
Determine h so that -2*h**2/3 + 10*h/3 - 8/3 = 0.
1, 4
Suppose -g**2/8 + 23*g/4 - 38 = 0. Calculate g.
8, 38
Factor a**2 - 8*a + 16.
(a - 4)**2
Suppose -2*c**2 - 136*c - 854 = 0. What is c?
-61, -7
Solve h**4 + 6*h**3 + 12*h**2 + 8*h = 0.
-2, 0
Factor -2*l**5/15 - 4*l**4/15 + 4*l**2/15 + 2*l/15.
-2*l*(l - 1)*(l + 1)**3/15
Suppose -z**4/3 - 26*z**3/3 - 233*z**2/3 - 784*z/3 - 192 = 0. What is z?
-9, -8, -1
Factor -2*m**3/7 + 10*m**2/7 - 8*m/7.
-2*m*(m - 4)*(m - 1)/7
Factor 3*k**4/5 - 27*k**3/5 - 66*k**2/5.
3*k**2*(k - 11)*(k + 2)/5
Let -2*j**5 + 18*j**4 + 4*j**3 - 36*j**2 - 2*j + 18 = 0. Calculate j.
-1, 1, 9
Factor -6*b**4/7 - 176*b**3/7 - 58*b**2/7.
-2*b**2*(b + 29)*(3*b + 1)/7
Find c, given that -63*c**4 + 183*c**3 + 9*c**2 - 183*c + 54 = 0.
-1, 1/3, 1, 18/7
Suppose 4*r**4/3 + 113*r**3/3 + 356*r**2 + 3773*r/3 + 4114/3 = 0. Calculate r.
-11, -17/4, -2
Factor 3*b**3 - 18*b**2 + 24*b.
3*b*(b - 4)*(b - 2)
Factor 5*m**3 + 25*m**2 - 90*m - 360.
5*(m - 4)*(m + 3)*(m + 6)
Let -40*h**4 + 75*h**3 + 170*h**2 - 300*h - 40 = 0. What is h?
-2, -1/8, 2
Find b such that -b**3/2 + 23*b**2/2 - 67*b + 56 = 0.
1, 8, 14
What is l in 11*l**2/9 - 1345*l/9 + 122/3 = 0?
3/11, 122
Factor -4*b**3/3 - 53*b**2/3 + 443*b/3 + 38.
-(b - 6)*(b + 19)*(4*b + 1)/3
Let 5*h**5/3 + 10*h**4/3 - 60*h**3 + 440*h**2/3 - 320*h/3 = 0. Calculate h.
-8, 0, 2
Solve 2*q**2/11 + 4*q - 480/11 = 0.
-30, 8
Solve 2*w**3 + 20*w**2 - 8*w - 80 = 0 for w.
-10, -2, 2
Find v, given that 5*v**5 - 30*v**4 + 25*v**3 + 120*v**2 - 180*v = 0.
-2, 0, 2, 3
Let -5*f**2 + 185*f + 190 = 0. What is f?
-1, 38
Factor 3*f**3/2 - 531*f**2/2 + 23229*f/2 + 23763/2.
3*(f - 89)**2*(f + 1)/2
Determine h so that 26*h**4/3 + 290*h**3/3 + 318*h**2 + 790*h/3 + 100/3 = 0.
-5, -1, -2/13
Factor 5*u**3 + 10*u**2 + 5*u.
5*u*(u + 1)**2
What is g in -5*g**4 - 675*g**3 + 5*g**2 + 675*g = 0?
-135, -1, 0, 1
Factor 4*g**3 + 672*g**2 + 37632*g + 702464.
4*(g + 56)**3
Factor 48*n**2 - 1032*n + 5547.
3*(4*n - 43)**2
What is x in x**3 - 5*x**2 + 7*x - 3 = 0?
1, 3
Let r**2 - r - 12 = 0. What is r?
-3, 4
Suppose d**3/4 - 5*d**2/4 - 125*d/4 - 375/4 = 0. Calculate d.
-5, 15
Factor -3*c**4/2 + 9*c**3 + 3*c**2/2 - 9*c.
-3*c*(c - 6)*(c - 1)*(c + 1)/2
Find m, given that m**2/4 - 18*m - 73/4 = 0.
-1, 73
Factor 2*f**3/5 + 4*f**2/5.
2*f**2*(f + 2)/5
Factor 2*p**3 - 2*p**2 - 8*p + 8.
2*(p - 2)*(p - 1)*(p + 2)
Factor 2*j**4 + 3*j**3/2 - 5*j**2/2 - 3*j/2 + 1/2.
(j - 1)*(j + 1)**2*(4*j - 1)/2
Factor s**4/5 - 499*s**3/5 + 1491*s**2/5 - 1489*s/5 + 496/5.
(s - 496)*(s - 1)**3/5
Find z, given that 7*z**2 + 577*z + 246 = 0.
-82, -3/7
Solve 2*a**5 - 114*a**4 + 112*a**3 = 0 for a.
0, 1, 56
Factor 2*c**2/11 + 6*c/11 - 56/11.
2*(c - 4)*(c + 7)/11
Solve -2*x**2 + 45*x + 23 = 0.
-1/2, 23
Factor -y**3/2 + 3*y**2/8 + 25*y/8 + 3/4.
-(y - 3)*(y + 2)*(4*y + 1)/8
Factor 51*r**2/4 + 45*r/4 - 3/2.
3*(r + 1)*(17*r - 2)/4
Let 7*j**5 - 481*j**4 + 7394*j**3 + 31384*j**2 - 27936*j - 10368 = 0. Calculate j.
-4, -2/7, 1, 36
Let -x**2/3 + 1/3 = 0. What is x?
-1, 1
Factor -4*h**2 + 60*h - 56.
-4*(h - 14)*(h - 1)
What is w in -3*w**4/8 + 6*w**3 - 87*w**2/8 + 21*w/4 = 0?
0, 1, 14
Factor 22*z**3 - 40*z**2 - 8*z.
2*z*(z - 2)*(11*z + 2)
Let -14*b**4/13 - 32*b**3/13 - 22*b**2/13 - 4*b/13 = 0. Calculate b.
-1, -2/7, 0
Determine y, given that y**3/4 - 27*y**2/4 + 195*y/4 - 169/4 = 0.
1, 13
Factor -4*u**4/5 - 8*u**3/5 + 16*u**2 - 96*u/5.
-4*u*(u - 2)**2*(u + 6)/5
Solve 3*n**4/7 + 183*n**3/7 + 2502*n**2/7 - 8832*n/7 + 6144/7 = 0.
-32, 1, 2
Solve 3*f**5 + 48*f**4 - 228*f**3 + 240*f**2 = 0 for f.
-20, 0, 2
Solve 2*u**2/15 - 58*u/15 - 124/15 = 0.
-2, 31
Let 2*i**5 - 196*i**4 + 6528*i**3 - 77824*i**2 + 131072*i = 0. Calculate i.
0, 2, 32
Factor 2*o**4 - 4*o**3/3 - 40*o**2/9 - 16*o/9.
2*o*(o - 2)*(3*o + 2)**2/9
Factor -4*i**2 - 1008*i - 63504.
-4*(i + 126)**2
Factor 9*u**3/5 + 103*u**2/5 + 44*u/5.
u*(u + 11)*(9*u + 4)/5
Let -250*o**2 + 248*o + 2 = 0. Calculate o.
-1/125, 1
Determine l, given that -3*l**3 + 111*l**2 + 231*l + 117 = 0.
-1, 39
Find w such that -w**2/2 - 3930*w - 7722450 = 0.
-3930
Find b such that b**5/3 - 7*b**4/3 + 6*b**3 - 20*b**2/3 + 8*b/3 = 0.
0, 1, 2
Let -g**3/7 - 133*g**2 = 0. What is g?
-931, 0
Solve -2*z**3/13 - 14*z**2/13 - 20*z/13 = 0.
-5, -2, 0
Suppose 2*r**4/3 + 14*r**3/3 - 2*r**2 - 38*r/3 + 28/3 = 0. What is r?
-7, -2, 1
Factor 2*o**3 - 74*o**2 + 720*o - 648.
2*(o - 18)**2*(o - 1)
Factor d**2/5 + 29*d/5 + 28/5.
(d + 1)*(d + 28)/5
Let 80*o**5 + 444*o**4 - 5252*o**3 - 29068*o**2 + 13860*o - 1568 = 0. What is o?
-7, 1/5, 1/4, 8
Let 44*m**5/5 - 124*m**4 + 584*m**3/5 + 568*m**2/5 - 628*m/5 + 52/5 = 0. What is m?
-1, 1/11, 1, 13
Find v such that -2*v**4 - 180*v**3 - 178*v**2 = 0.
-89, -1, 0
Find a such that 2*a**5/5 - 4*a**4 + 48*a**3/5 - 44*a**2/5 + 14*a/5 = 0.
0, 1, 7
Determine v, given that 5*v**4 - 35*v**3 + 75*v**2 - 65*v + 20 = 0.
1, 4
Let 72*s**2/5 + 4*s/5 - 4 = 0. What is s?
-5/9, 1/2
Factor 5*f**5 - 25*f**4 + 200*f**2 - 400*f + 240.
5*(f - 2)**4*(f + 3)
Factor -i**3/3 + 5*i**2/3 + 2*i.
-i*(i - 6)*(i + 1)/3
Factor 5*f**5 - 175*f**4 + 335*f**3 - 165*f**2.
5*f**2*(f - 33)*(f - 1)**2
Factor -5*d**4 + 16460*d**3 - 13546580*d**2.
-5*d**2*(d - 1646)**2
What is d in 3*d**4 - 15*d**3 - 45*d**2 + 15*d + 42 = 0?
-2, -1, 1, 7
Factor -3*n**3/2 + 63*n**2 - 882*n + 4116.
-3*(n - 14)**3/2
Determine x, given that -2*x**5/9 - 14*x**4/9 - 10*x**3/3 - 26*x**2/9 - 8*x/9 = 0.
-4, -1, 0
Factor -2*f**4 + 4*f**3 + 78*f**2 + 136*f + 64.
-2*(f - 8)*(f + 1)**2*(f + 4)
Solve 4*t**4/3 - 208*t**3/3 + 1592*t**2/3 - 1808*t/3 - 1204 = 0 for t.
-1, 3, 7, 43
Suppose -4*i**2 - 936*i - 54756 = 0. What is i?
-117
Factor 2*j**2 + 6*j + 4.
2*(j + 1)*(j + 2)
Let -4*o**4 - 976*o**3 - 77752*o**2 - 2222352*o - 20738916 = 0. What is o?
-99, -23
Let -i**5/5 - 7*i**4/5 + 3*i**3 + 35*i**2 + 50*i = 0. What is i?
-5, -2, 0, 5
Factor p**3/5 + 74*p**2/5 + 29*p + 72/5.
(p + 1)**2*(p + 72)/5
Factor -y**2/5 - 2134*y/5 - 1138489/5.
-(y + 1067)**2/5
Let -6*k**4 - 62*k**3/11 + 4*k**2/11 = 0. Calculate k.
-1, 0, 2/33
Let 3*b**5 + 39*b**4 + 6*b**3 - 336*b**2 + 288*b = 0. Calculate b.
-12, -4, 0, 1, 2
Determine a so that -3*a**3 + 450*a**2 + 2781*a + 4212 = 0.
-3, 156
Factor -2*m**3/3 - 19*m**2/3 + 842*m/3 - 416/3.
-(m - 16)*(m + 26)*(2*m - 1)/3
Factor 2*a**4 + 908*a**3 + 136800*a**2 + 6746368*a - 14047232.
2*(a - 2)*(a + 152)**3
Let -v**2/2 - 14*v + 29/2 = 0. Calculate v.
-29, 1
Let 2*p**2 - 8658*p + 8656 = 0. What is p?
1, 4328
Determine c, given that -28*c**3/9 + 148*c**2/9 - 152*c/9 + 32/9 = 0.
2/7, 1, 4
Find j such that j**4 + 94*j**3 + 2880*j**2 + 26624*j - 65536 = 0.
-32, 2
Factor -c**4 + 14*c**3 - 9*c**2 - 236*c - 308.
-(c - 11)*(c - 7)*(c + 2)**2
Let 5*x**3 + 40*x**2 + 45*x - 90 = 0. Calculate x.
-6, -3, 1
Factor -4*n**4/5 - 4*n**3 + 16*n**2/5 + 16*n.
-4*n*(n - 2)*(n + 2)*(n + 5)/5
Factor 2*x**2/9 - 40*x/3.
2*x*(x - 60)/9
Factor i**4/2 + 57*i**3/2 + 1083*i**2/2 + 6859*i/2.
i*(i + 19)**3/2
Factor 3*k**5 + 3*k**4 - 9*k**3 - 15*k**2 - 6*k.
3*k*(k - 2)*(k + 1)**3
Solve 18*v**5 - 75*v**4 + 66*v**3 - 9*v**2 = 0.
0, 1/6, 1, 3
Determine h so that -h**5 + 123*h**4 - 4760*h**3 + 59596*h**2 - 205920*h - 270400 = 0.
-1, 10, 52
What is h in 3*h**3 + 483*h**2 - 3*h - 483 = 0?
-161, -1, 1
Factor 3*m**3 - m**2 - 14*m.
m*(m + 2)*(3*m -