.
-28, -2
Solve -j**3/5 - 33*j**2/5 + 358*j/5 - 168 = 0 for j.
-42, 4, 5
Determine l, given that 25*l**2 + 740*l - 300 = 0.
-30, 2/5
Factor x**2/4 + 44*x.
x*(x + 176)/4
Determine u, given that 5*u**4 - 10*u**3 - 20*u**2 + 10*u + 15 = 0.
-1, 1, 3
Factor 3*r**4 + 372*r**3 + 11532*r**2.
3*r**2*(r + 62)**2
Let -3*w**3/5 - 186*w**2/5 + 384*w/5 = 0. What is w?
-64, 0, 2
Factor 10*i**4 + 4*i**3 - 30*i**2 - 32*i - 8.
2*(i - 2)*(i + 1)**2*(5*i + 2)
Solve -6*v**5 + 7*v**4 + 118*v**3/3 - 29*v**2/3 - 80*v/3 - 4 = 0.
-2, -2/3, -1/6, 1, 3
Let 6*k**4/5 + 12*k**3 + 162*k**2/5 + 108*k/5 = 0. Calculate k.
-6, -3, -1, 0
Suppose -5*r**3 - 30*r**2 + 185*r - 150 = 0. Calculate r.
-10, 1, 3
Factor 2*x**3/9 - 398*x**2/3 + 79202*x/3 - 15761198/9.
2*(x - 199)**3/9
What is o in -2*o**2/5 + 5388*o/5 - 3628818/5 = 0?
1347
Factor -g**3/7 + 73*g**2/7 + g/7 - 73/7.
-(g - 73)*(g - 1)*(g + 1)/7
Suppose 16*y**3 - 76*y**2 - 116*y - 24 = 0. What is y?
-1, -1/4, 6
Factor v**3/5 - 3*v**2/5 - 9*v - 81/5.
(v - 9)*(v + 3)**2/5
Factor -3*u**4/5 - 24*u**3/5 - 63*u**2/5 - 54*u/5.
-3*u*(u + 2)*(u + 3)**2/5
Factor -3*j**5 + 357*j**4 - 14034*j**3 + 176880*j**2 + 220800*j - 384000.
-3*(j - 40)**3*(j - 1)*(j + 2)
Let -o**5/4 - o**4/4 + 3*o**3/2 - o**2/2 - 5*o/4 + 3/4 = 0. What is o?
-3, -1, 1
Find i such that 4*i**2 - 1432*i + 1428 = 0.
1, 357
Solve -4*w**4 + 13424*w**3 - 16894104*w**2 + 9449435504*w - 1982019096964 = 0.
839
What is x in 2*x**3 - 20*x**2 - 46*x - 24 = 0?
-1, 12
What is p in -3*p**2 - 78*p + 81 = 0?
-27, 1
Factor 3*c**5 - 39*c**4 + 66*c**3 + 6*c**2 - 69*c + 33.
3*(c - 11)*(c - 1)**3*(c + 1)
Factor -2*d**3 - 30*d**2 - 108*d - 80.
-2*(d + 1)*(d + 4)*(d + 10)
What is d in -2*d**5/7 - 52*d**4/21 + 166*d**3/21 + 44*d**2/7 = 0?
-11, -2/3, 0, 3
Factor -4*h**3 - 40*h**2 + 212*h - 168.
-4*(h - 3)*(h - 1)*(h + 14)
Factor p**2/3 + 1159*p/3 + 386.
(p + 1)*(p + 1158)/3
Find g, given that -2*g**5/5 + 156*g**4/5 + 384*g**3 + 3364*g**2/5 + 1602*g/5 = 0.
-9, -1, 0, 89
Suppose 324*s**4/13 - 630*s**3/13 + 394*s**2/13 - 96*s/13 + 8/13 = 0. What is s?
2/9, 1/2, 1
Solve -2*s**5/3 - 36*s**4 - 922*s**3/3 + 344*s**2 = 0 for s.
-43, -12, 0, 1
Solve -34*j**3 - 118*j**2 + 72*j = 0 for j.
-4, 0, 9/17
Determine g, given that -5*g**3 - 20*g**2 + 45*g + 180 = 0.
-4, -3, 3
Factor 2*i**3/23 - 78*i**2/23 - 162*i/23 - 82/23.
2*(i - 41)*(i + 1)**2/23
Suppose 3*o**3/2 - 9*o**2 + 15*o/2 = 0. Calculate o.
0, 1, 5
Determine c so that c**4/10 + 29*c**3/10 + 17*c**2/2 - 393*c/10 - 45 = 0.
-25, -6, -1, 3
Suppose 3*t**4/7 + 15*t**3/7 - 36*t**2/7 - 108*t/7 = 0. Calculate t.
-6, -2, 0, 3
Solve 12*o**4 - 636*o**3 + 603*o**2 + 1086*o + 312 = 0 for o.
-1/2, 2, 52
Factor -y**2/3 + 3*y - 20/3.
-(y - 5)*(y - 4)/3
Determine j so that -j**2/3 + 13292*j/3 - 44169316/3 = 0.
6646
Determine x, given that 12*x**5 - 56*x**4 - 16*x**3 + 264*x**2 - 316*x + 112 = 0.
-7/3, 1, 4
Factor -2*d**3/3 - 8*d**2 - 58*d/3 - 12.
-2*(d + 1)*(d + 2)*(d + 9)/3
Let 20*b**5/9 + 16*b**4/3 - 88*b**3/9 - 16*b**2 + 68*b/9 + 32/3 = 0. Calculate b.
-3, -1, 1, 8/5
Factor -y**3/9 - 26*y**2 - 2028*y - 52728.
-(y + 78)**3/9
Solve -5*b**2/4 + 55*b = 0.
0, 44
Determine b so that -b**2 + 177*b + 2068 = 0.
-11, 188
Factor -x**5 - 8*x**4 + 56*x**3 - 110*x**2 + 89*x - 26.
-(x - 2)*(x - 1)**3*(x + 13)
Factor 2*g**2/5 + 2*g/5 - 4/5.
2*(g - 1)*(g + 2)/5
Find u such that -3*u**3 - 9*u**2 = 0.
-3, 0
Factor 8*n**3/15 + 122*n**2/15 + 2*n.
2*n*(n + 15)*(4*n + 1)/15
Factor 2*z**2/11 + 316*z/11.
2*z*(z + 158)/11
Find y such that -3*y**5/4 - 15*y**4/4 - 3*y**3 = 0.
-4, -1, 0
Find z such that 2*z**4 + 20*z**3 + 6*z**2 - 108*z = 0.
-9, -3, 0, 2
Factor 9*z**4/5 - 21*z**3/5 + 9*z**2/5 + 9*z/5 - 6/5.
3*(z - 1)**3*(3*z + 2)/5
Determine h so that -3*h**2 - 111*h - 810 = 0.
-27, -10
Solve -7*v**4/4 + 3*v**3 + 81*v**2/4 - 31*v/2 - 6 = 0.
-3, -2/7, 1, 4
Find g, given that -g**4/8 - 33*g**3/8 + 27*g**2/2 - g/2 - 18 = 0.
-36, -1, 2
Factor 2*m**4/5 - 43*m**3/5 - 22*m**2/5.
m**2*(m - 22)*(2*m + 1)/5
Factor -5*s**3 + 45*s**2 + 170*s + 120.
-5*(s - 12)*(s + 1)*(s + 2)
Determine c so that 2*c**5/5 + 8*c**4/5 - 8*c**3/5 - 32*c**2/5 = 0.
-4, -2, 0, 2
Let -170*s**5/11 + 402*s**4/11 - 202*s**3/11 - 106*s**2/11 + 60*s/11 + 16/11 = 0. Calculate s.
-2/5, -4/17, 1
Determine u, given that u**5/4 - 8*u**4 + 369*u**3/4 - 925*u**2/2 + 979*u - 726 = 0.
2, 6, 11
Find x, given that -8*x**4 + 58*x**3 - 102*x**2 + 62*x - 10 = 0.
1/4, 1, 5
What is s in 2*s**4/21 + 10*s**3/7 + 128*s**2/21 + 32*s/7 - 256/21 = 0?
-8, -4, 1
Factor 5*c**2 + 135*c.
5*c*(c + 27)
Find z such that -3*z**2/2 - 204*z - 6936 = 0.
-68
Factor c**2/6 - 3*c.
c*(c - 18)/6
Factor 2*h**3/3 - 2*h**2/3.
2*h**2*(h - 1)/3
Solve -y**5/3 - 5*y**4/3 + 6*y**3 + 58*y**2/3 - 145*y/3 + 25 = 0 for y.
-5, 1, 3
Factor -3*x**2 - 25284*x - 53273388.
-3*(x + 4214)**2
Find b, given that 3*b**2 + 63*b + 204 = 0.
-17, -4
Determine d so that 4*d**3 - 9*d**2 + 6*d - 1 = 0.
1/4, 1
Factor -4*u**3 - 148*u**2 + 472*u - 320.
-4*(u - 2)*(u - 1)*(u + 40)
Suppose -9*q**5 + 19*q**4 - q**3 - 19*q**2 + 10*q = 0. Calculate q.
-1, 0, 1, 10/9
Suppose 8664*a**2 - 228*a + 3/2 = 0. Calculate a.
1/76
Let 35*x**5 + 150*x**4 - 345*x**3 + 100*x**2 + 60*x = 0. Calculate x.
-6, -2/7, 0, 1
Factor b**2/3 - 124*b/3.
b*(b - 124)/3
Let -2*o**4 - 219*o**3/5 - 1486*o**2/5 - 687*o - 230 = 0. What is o?
-23/2, -5, -2/5
Factor y**3/5 + 7*y**2/5 - y/5 - 7/5.
(y - 1)*(y + 1)*(y + 7)/5
What is a in a**2/8 - 11*a/4 - 23/8 = 0?
-1, 23
Factor 5*z**4 + 170*z**3 + 740*z**2 + 390*z - 1305.
5*(z - 1)*(z + 3)**2*(z + 29)
Factor 108*y**5 + 432*y**4 - 72*y**3 - 256*y**2 + 124*y - 16.
4*(y + 1)*(y + 4)*(3*y - 1)**3
Factor 2*x**2/11 + 5344*x/11 - 486.
2*(x - 1)*(x + 2673)/11
Factor 2*f**2/9 + 964*f/9.
2*f*(f + 482)/9
Factor 2*b**2/3 + 10*b/3 + 8/3.
2*(b + 1)*(b + 4)/3
Factor k**2 + 1271*k + 1270.
(k + 1)*(k + 1270)
Find r such that r**3 + 3*r**2 + 2*r = 0.
-2, -1, 0
Solve -a**3 - 2256*a**2 - 1272384*a = 0.
-1128, 0
Solve -2*t**3/9 - 188*t**2/9 - 370*t/9 - 184/9 = 0 for t.
-92, -1
Factor b**2/6 + 140*b/3 + 9800/3.
(b + 140)**2/6
Let m**2/6 - 23*m/6 = 0. Calculate m.
0, 23
Let -5*r**3 - 50*r**2 - 120*r = 0. What is r?
-6, -4, 0
Suppose -5*k**4 - 195*k**3 - 675*k**2 + 875*k = 0. Calculate k.
-35, -5, 0, 1
Factor -4*o**3/3 - 13*o**2/3 - o.
-o*(o + 3)*(4*o + 1)/3
Determine o so that -4*o**4 - 4*o**3 + 40*o**2 - 32*o = 0.
-4, 0, 1, 2
Find a such that -28*a**5 - 720*a**4 + 5276*a**3 - 11136*a**2 + 8144*a - 1536 = 0.
-32, 2/7, 1, 2, 3
Determine i, given that -5*i**5 + 335*i**4 - 300*i**3 - 1980*i**2 = 0.
-2, 0, 3, 66
Let -5*o**4 + 165*o**3 - 160*o**2 = 0. What is o?
0, 1, 32
Determine m, given that m**3/6 - 56*m**2/3 - 113*m/6 = 0.
-1, 0, 113
Factor -5*k**4 + 10*k**2 - 5.
-5*(k - 1)**2*(k + 1)**2
Let -5*s**5/9 - 17*s**4 - 1463*s**3/9 - 1465*s**2/3 - 3068*s/9 + 676/3 = 0. Calculate s.
-13, -3, -2, 2/5
Factor h**3/2 + 7*h**2 + 53*h/2 + 20.
(h + 1)*(h + 5)*(h + 8)/2
Suppose 3*d**4/5 + 81*d**3/5 - 681*d**2/5 + 1107*d/5 - 102 = 0. What is d?
-34, 1, 5
Solve -3*x**5 - 33*x**4 + 54*x**3 + 690*x**2 + 1101*x + 495 = 0 for x.
-11, -3, -1, 5
Factor -15*l**4 - 70*l**3 + 115*l**2 - 30*l.
-5*l*(l - 1)*(l + 6)*(3*l - 1)
Suppose g**4/2 + 37*g**3/2 + 105*g**2/2 + 103*g/2 + 17 = 0. Calculate g.
-34, -1
Factor -3*y**3/2 - 2451*y**2/2 - 499389*y/2 + 501843/2.
-3*(y - 1)*(y + 409)**2/2
What is i in 2*i**5 + 10*i**4 + 4*i**3 - 16*i**2 = 0?
-4, -2, 0, 1
Find d such that -d**3 - 15*d**2 - 14*d = 0.
-14, -1, 0
Factor -2*p**4 - 8*p**3 - 2*p**2 + 12*p.
-2*p*(p - 1)*(p + 2)*(p + 3)
Let -4*w**4/3 + 392*w**3/3 - 4748*w**2 + 227360*w/3 - 1345600/3 = 0. What is w?
20, 29
Determine o so that 2*o**2 - 936*o + 109512 = 0.
234
Factor -100*o**2 + 296*o + 12.
-4*(o - 3)*(25*o + 1)
Find j, given that 2*j**3/11 + 104*j**2/11 - 222*j/11 - 324/11 = 0.
-54, -1, 3
Find d, given that -15*d**5 + 230*d**4 - 600*d**3 - 50*d**2 + 615*d - 180 = 0.
-1, 1/3, 1, 3, 12
Factor 4*r**3 + 312*r**2 + 8112*r + 70304.
4*(r + 26)**3
Solve 2*b**3 - 22*b**2 = 0 for b.
0, 11
Factor -t**5 + 55*t**4/7 + 8*t**3/7.
-t**3*(t - 8)*(7*t + 1)/7
Suppose y**5 - 6*y**4 + 2*y**3 + 36*y**2 - 27*y - 54 = 0. What is y?
-2, -1, 3
Determine n so that 4*n**2 - 75*n - 19 = 0.
-1/4, 19
Factor -3*a**4 - 36*a**3 + 9*a**2 + 114*a + 72.
-3*(a - 2)*(a + 1)**2*(a + 12)
Factor -g**5/4 + 73*g**4/4 - 141*g**3/2 + 20