-x**2/5 - 1099*x/5 = 0.
-1099, 0
Factor -2*k**3/5 - 2*k**2/5 + 4*k/5.
-2*k*(k - 1)*(k + 2)/5
Factor y**3 - 471*y**2 - 1896*y - 1900.
(y - 475)*(y + 2)**2
Factor 2*n**4/5 - 86*n**2/5 - 60*n - 288/5.
2*(n - 8)*(n + 2)*(n + 3)**2/5
Find w, given that -2*w**4 + 108*w**3 - 688*w**2 + 1428*w - 846 = 0.
1, 3, 47
Factor l**5 + 17*l**4 + 71*l**3 - 245*l**2 - 2400*l - 4500.
(l - 5)*(l + 5)**2*(l + 6)**2
Suppose -14*a**5 - 298*a**4/3 + 560*a**3/3 + 2072*a**2/3 + 64*a = 0. Calculate a.
-8, -2, -2/21, 0, 3
Let n**3/3 - 574*n**2/3 - 1151*n/3 - 192 = 0. Calculate n.
-1, 576
Factor -4*t**3 - 40*t**2 - 112*t - 96.
-4*(t + 2)**2*(t + 6)
Suppose j**3/5 + 101*j**2/5 + 520*j + 500 = 0. What is j?
-50, -1
Determine w, given that 8*w**2 - 310*w - 78 = 0.
-1/4, 39
Solve -5*y**2 - 2180*y - 237620 = 0.
-218
Solve -2*k**2 - 596*k - 4074 = 0.
-291, -7
Factor -5*i**5 - 155*i**4 + 325*i**3 - 165*i**2.
-5*i**2*(i - 1)**2*(i + 33)
Solve -4*o**4 + 792*o**3 - 4644*o**2 + 6912*o = 0 for o.
0, 3, 192
Let -b**3/8 - 553*b**2/8 - 69*b = 0. What is b?
-552, -1, 0
Factor m**5 - 19*m**4 - 126*m**3 + 144*m**2.
m**2*(m - 24)*(m - 1)*(m + 6)
Let 3*o**2 - 123*o - 1008 = 0. What is o?
-7, 48
Factor g**2/7 + 11*g/7 - 30.
(g - 10)*(g + 21)/7
Factor 9*q**3/2 - 5*q**2 + q/2.
q*(q - 1)*(9*q - 1)/2
What is a in -6*a**3/7 - 24*a**2/7 + 66*a/7 + 180/7 = 0?
-5, -2, 3
Solve 27*r**3 - 372*r**2 + 1239*r + 294 = 0.
-2/9, 7
Factor -2*p**3/3 - 32*p**2/3 - 58*p/3 - 28/3.
-2*(p + 1)**2*(p + 14)/3
Suppose -5*l**3 + 15*l**2 + 20*l - 60 = 0. What is l?
-2, 2, 3
What is k in -3*k**2 + 27 = 0?
-3, 3
Let -2*c**5/9 + 2*c**4/9 + 4*c**3/3 - 8*c**2/9 - 16*c/9 = 0. Calculate c.
-2, -1, 0, 2
Factor -4*p**2 - 4*p + 8.
-4*(p - 1)*(p + 2)
Factor h**4 - 241*h**3.
h**3*(h - 241)
What is h in -h**2/7 - 316*h/7 + 317/7 = 0?
-317, 1
Let -u**2 - 442*u - 441 = 0. Calculate u.
-441, -1
Suppose 12*c**5 + 164*c**4 + 472*c**3 + 304*c**2 - 160*c = 0. What is c?
-10, -2, 0, 1/3
Suppose -2*r**2 + 24*r + 26 = 0. What is r?
-1, 13
Factor -5*d**5 - 45*d**4 - 120*d**3 - 80*d**2.
-5*d**2*(d + 1)*(d + 4)**2
Find l, given that -3*l**3/8 + 7*l**2/8 + 35*l/8 + 25/8 = 0.
-5/3, -1, 5
Find o such that 25*o**5 + 715*o**4 - 6215*o**3 - 204055*o**2 + 294170*o - 84640 = 0.
-23, 2/5, 1, 16
Solve 44*z**2 - 250*z + 324 = 0 for z.
2, 81/22
Suppose -2*o**4/5 + 1612*o**3/5 = 0. What is o?
0, 806
Factor 2*k**2 + 2292*k + 656658.
2*(k + 573)**2
Suppose 10*l**4/23 - 154*l**3/23 + 290*l**2/23 + 298*l/23 - 156/23 = 0. What is l?
-1, 2/5, 3, 13
Factor 3*n**5/5 + 66*n**4/5 - 69*n**3/5.
3*n**3*(n - 1)*(n + 23)/5
Let -2*q**4 - 46*q**3/7 + 44*q**2/7 + 184*q/7 + 48/7 = 0. Calculate q.
-3, -2, -2/7, 2
Find w, given that -27*w**4/5 + 534*w**3/5 - 3816*w**2/5 + 11808*w/5 - 2688 = 0.
4, 70/9
Let 2*b**2/9 + 2*b/9 - 4/9 = 0. Calculate b.
-2, 1
Determine q so that -5*q**5 - 73*q**4 + 235*q**3 + 533*q**2 + 94*q - 136 = 0.
-17, -1, 2/5, 4
Factor 5*n**5 - 75*n**4 + 295*n**3 - 485*n**2 + 360*n - 100.
5*(n - 10)*(n - 2)*(n - 1)**3
Factor i**4/5 - 6*i**2/5 - 8*i/5 - 3/5.
(i - 3)*(i + 1)**3/5
Factor 4*x**5 + 12944*x**4 + 10484632*x**3 + 20930448*x**2 + 10458756*x.
4*x*(x + 1)**2*(x + 1617)**2
Factor z**2 - 39*z - 40.
(z - 40)*(z + 1)
What is k in 3*k**2 - 90*k + 675 = 0?
15
Factor i**2 - 168*i + 7056.
(i - 84)**2
Let 2*c**2/5 - 248*c/5 + 7688/5 = 0. What is c?
62
Factor 4*r**4/3 + 24*r**3 - 4*r**2/3 - 24*r.
4*r*(r - 1)*(r + 1)*(r + 18)/3
Let -6*q**3 - 333*q**2/2 + 216*q - 87/2 = 0. Calculate q.
-29, 1/4, 1
Let v**2/6 - 29*v/6 - 31/3 = 0. Calculate v.
-2, 31
Let 2*k**3/5 + 128*k**2/5 - 2*k/5 - 128/5 = 0. What is k?
-64, -1, 1
Let 14*r**4 + 228*r**3 + 274*r**2 + 60*r = 0. Calculate r.
-15, -1, -2/7, 0
Suppose -22*u**4/5 + 2*u**3/5 + 22*u**2/5 - 2*u/5 = 0. What is u?
-1, 0, 1/11, 1
Solve -14*c**3/11 + 276*c**2/11 + 286*c + 2856/11 = 0.
-51/7, -1, 28
Determine o so that -2*o**2/9 - 716*o/9 = 0.
-358, 0
Find o, given that -2*o**2 + 11040*o - 15235200 = 0.
2760
Suppose 2*g**5/9 - 32*g**4/9 + 16*g**3 - 44*g**2/9 - 658*g/9 + 196/3 = 0. Calculate g.
-2, 1, 3, 7
Factor -22*m**2/7 - 155*m/7 - 1.
-(m + 7)*(22*m + 1)/7
Determine g so that g**2 + 7*g + 6 = 0.
-6, -1
Let -2*r**4 + 26*r**3/5 + 6*r**2 - 98*r/5 + 52/5 = 0. What is r?
-2, 1, 13/5
Solve -18*h**5/19 - 400*h**4 - 803048*h**3/19 - 170484*h**2/19 + 803066*h/19 + 178084/19 = 0 for h.
-211, -1, -2/9, 1
Factor -2*k**3/5 - 22*k**2/5 - 38*k/5 - 18/5.
-2*(k + 1)**2*(k + 9)/5
Determine m so that -48*m**4/7 - 4*m**3/7 = 0.
-1/12, 0
Factor 3*a**3 + 2103*a**2 + 2100*a.
3*a*(a + 1)*(a + 700)
What is r in -3*r**4 + 15*r**3 - 18*r**2 = 0?
0, 2, 3
Find m such that m**2/3 - 106*m/3 + 2809/3 = 0.
53
Determine p, given that 35*p**3 - 1459*p**2 + 988*p - 164 = 0.
2/7, 2/5, 41
Let -3*l**4/2 - 12*l**3 - 39*l**2/2 - 9*l = 0. Calculate l.
-6, -1, 0
Suppose 180*n**5 + 564*n**4 - 220*n**3 - 980*n**2 - 280*n + 96 = 0. Calculate n.
-3, -1, -2/3, 1/5, 4/3
Suppose -l**2 + 560*l + 561 = 0. What is l?
-1, 561
Factor 4*i**2 + 128*i + 1024.
4*(i + 16)**2
Factor 2*f**4/3 + 28*f**3 + 264*f**2 - 1936*f/3.
2*f*(f - 2)*(f + 22)**2/3
Determine i, given that -i**4 - 22*i**3 - 21*i**2 = 0.
-21, -1, 0
Determine y so that y**3/4 - 3*y**2 + 45*y/4 - 27/2 = 0.
3, 6
Factor 3*h**3 + 2868*h**2 + 688311*h + 1365174.
3*(h + 2)*(h + 477)**2
Factor -5*k**5/2 - 5*k**4/2 + 20*k**3 + 30*k**2.
-5*k**2*(k - 3)*(k + 2)**2/2
Factor -3*d**2 + 114*d - 216.
-3*(d - 36)*(d - 2)
Solve -2*k**3 + 204*k**2/5 - 88*k + 144/5 = 0.
2/5, 2, 18
Factor -4*s**2 - 52*s - 48.
-4*(s + 1)*(s + 12)
Factor -4*z**3 - 16*z**2 - 16*z.
-4*z*(z + 2)**2
Factor y**2/3 - 7*y/3 + 2.
(y - 6)*(y - 1)/3
Factor 2*c**4/5 - 16*c**3/5 + 4*c**2/5 + 64*c/5 + 42/5.
2*(c - 7)*(c - 3)*(c + 1)**2/5
Let 3*s**2/8 + 213*s/8 + 531/2 = 0. Calculate s.
-59, -12
Factor -5*n**4 + 30*n**3 - 65*n**2 + 60*n - 20.
-5*(n - 2)**2*(n - 1)**2
Suppose 2*y**3/11 - 1790*y**2/11 + 3574*y/11 - 1786/11 = 0. What is y?
1, 893
Solve -d**5/4 + d**3 + d**2/2 - 3*d/4 - 1/2 = 0 for d.
-1, 1, 2
Factor 2*f**2 + 152*f + 150.
2*(f + 1)*(f + 75)
Factor 2*u**3/15 - 16*u**2/15 - 8*u/5 + 96/5.
2*(u - 6)**2*(u + 4)/15
Suppose -10*j**4 + 44*j**3 + 106*j**2 - 44*j - 96 = 0. Calculate j.
-8/5, -1, 1, 6
Suppose h**5/7 - 5*h**3/7 + 4*h/7 = 0. Calculate h.
-2, -1, 0, 1, 2
Determine f so that 10*f**5/3 - 206*f**4/3 - 450*f**3 - 486*f**2 + 468*f = 0.
-3, 0, 3/5, 26
Suppose -5*f**4 - 105*f**3 - 70*f**2 + 600*f = 0. Calculate f.
-20, -3, 0, 2
Factor 317*q**2/4 - q/4.
q*(317*q - 1)/4
Let z**3 + 16*z**2 + 45*z - 162 = 0. What is z?
-9, 2
Factor 2*x**2/3 - 125*x/3 - 64.
(x - 64)*(2*x + 3)/3
Find t, given that -14*t**4 + 32*t**3 + 6*t**2 - 32*t + 8 = 0.
-1, 2/7, 1, 2
Solve -1922*i**3/7 - 248*i**2 - 56*i = 0 for i.
-14/31, 0
Let 3*r**2 + 33*r = 0. Calculate r.
-11, 0
Determine d, given that -6*d**5/7 - 68*d**4/7 + 324*d**3/7 - 16*d**2 - 318*d/7 + 180/7 = 0.
-15, -1, 2/3, 1, 3
Determine n so that -3*n**4 + 33*n**3 - 129*n**2 + 207*n - 108 = 0.
1, 3, 4
Factor -5*s**2/3 + 197*s/3 - 26.
-(s - 39)*(5*s - 2)/3
Suppose -5*v**2 - 380*v - 740 = 0. Calculate v.
-74, -2
Solve 2*h**3/15 - 52*h**2/15 - 512*h/15 - 1088/15 = 0 for h.
-4, 34
Factor 4*w**2 + 44*w - 48.
4*(w - 1)*(w + 12)
Factor l**4/7 + 62*l**3/7 + 1077*l**2/7 + 3596*l/7 + 3364/7.
(l + 2)**2*(l + 29)**2/7
Find t such that 5*t**5 + 165*t**4 + 1825*t**3 + 7775*t**2 + 12870*t + 6760 = 0.
-13, -4, -2, -1
Factor 484*o**5 + 2068*o**4 + 2473*o**3 + 564*o**2 + 36*o.
o*(o + 2)**2*(22*o + 3)**2
What is n in -8*n**2/5 - 1934*n/5 + 484/5 = 0?
-242, 1/4
Factor -q**3 - q**2 + 32*q + 60.
-(q - 6)*(q + 2)*(q + 5)
Solve -5*g**5 + 780*g**4 - 27060*g**3 - 268960*g**2 = 0.
-8, 0, 82
Factor 9*n**4 - 66*n**3 + 120*n**2 - 78*n + 15.
3*(n - 5)*(n - 1)**2*(3*n - 1)
Find g, given that 9*g**4 + 246*g**3 + 1296*g**2 + 2106*g + 567 = 0.
-21, -3, -1/3
Let -a**4 + 424*a**3 - 45366*a**2 + 89464*a - 44521 = 0. Calculate a.
1, 211
Let -3*c**2 - 9252*c - 7133292 = 0. Calculate c.
-1542
Factor 4*x**4 - 16*x**3 - 4*x**2 + 16*x.
4*x*(x - 4)*(x - 1)*(x + 1)
Find s such that 5*s**3 + 305*s**2 + 4495*s - 4805 = 0.
-31, 1
Suppose -o**2/5 - 2*o/5 = 0. What is o?
-2, 0
Factor -6*k**3/11 - 3684*k**2/11 + 7386*k/11 - 336.
-6*(k - 1)**2*(k + 616)/11
Find q such that -8*q**3/7 - 22*q**2 + 166*q + 300/7 = 0.
-25, -1/4, 6
Determine g so that -4*g**4 - 219*g**3/5 + 248*g**2/5 - 48*g/