Find g such that 2*g**4 - 2*g**3 - 24*g**2 + 56*g - 32 = 0.
-4, 1, 2
Let -8*f**5/3 + 458*f**4/9 - 892*f**3/3 + 4982*f**2/9 - 20*f - 400/9 = 0. Calculate f.
-1/4, 1/3, 4, 5, 10
Factor w**4 + 2*w**3 - 3*w**2.
w**2*(w - 1)*(w + 3)
Find w such that w**2/2 + 31*w - 64 = 0.
-64, 2
Factor 5*p**2 - 80*p + 195.
5*(p - 13)*(p - 3)
Factor -c**2 - 707*c + 708.
-(c - 1)*(c + 708)
Determine g, given that -g**3/3 - 59*g**2 - 3481*g - 205379/3 = 0.
-59
Find r such that 2*r**3 + 23*r**2 + 10*r - 11 = 0.
-11, -1, 1/2
Find o, given that 2*o**2 - 668*o + 666 = 0.
1, 333
Let -3*i**5 + 15*i**4 + 12*i**3 - 60*i**2 = 0. What is i?
-2, 0, 2, 5
Determine k so that 5*k**5 - 15*k**4 - 90*k**3 + 110*k**2 + 405*k + 225 = 0.
-3, -1, 3, 5
Factor -2*u**2/15 + 2876*u/15 + 2878/15.
-2*(u - 1439)*(u + 1)/15
Find v, given that v**2 + 2856*v/5 + 571/5 = 0.
-571, -1/5
Factor -4*p**4 - 424*p**3 - 11652*p**2 - 22048*p - 10816.
-4*(p + 1)**2*(p + 52)**2
Factor 3698*d**3/13 - 4042*d**2/13 + 352*d/13 - 8/13.
2*(d - 1)*(43*d - 2)**2/13
Determine w, given that 44*w**2 - 24824*w + 4512 = 0.
2/11, 564
Factor 2*f**3/5 - 8*f**2/5 - 2*f/5 + 8/5.
2*(f - 4)*(f - 1)*(f + 1)/5
Let 4913*l**3/3 + 35836*l**2 + 261392*l + 1906624/3 = 0. Calculate l.
-124/17
Determine h, given that 2*h**2/19 - 906*h/19 + 1804/19 = 0.
2, 451
Factor 26*v**2 + 62*v + 36.
2*(v + 1)*(13*v + 18)
Factor -2*f**5 + 216*f**4 - 6044*f**3 + 11448*f**2 - 5618*f.
-2*f*(f - 53)**2*(f - 1)**2
What is v in -2*v**2/9 - 8*v/3 - 8 = 0?
-6
Solve 245*g**5/3 + 238*g**4/3 + 76*g**3/3 + 8*g**2/3 = 0 for g.
-2/5, -2/7, 0
Determine f so that f**5 - 8*f**4 + 16*f**3 - 2*f**2 - 17*f + 10 = 0.
-1, 1, 2, 5
Factor 2*y**2/11 + 5176*y/11 - 5178/11.
2*(y - 1)*(y + 2589)/11
Factor 2*g**2/7 - 276*g/7 + 9522/7.
2*(g - 69)**2/7
Factor -5*b**3/2 - 17*b**2/2 - 8*b - 2.
-(b + 1)*(b + 2)*(5*b + 2)/2
Factor 3*t**5/2 + 3*t**4/2 - 33*t**3/2 - 87*t**2/2 - 39*t - 12.
3*(t - 4)*(t + 1)**3*(t + 2)/2
Let -x**4 - 54*x**3 + 4*x**2 + 216*x = 0. Calculate x.
-54, -2, 0, 2
Factor -35*i**3 - 6205*i**2 - 31870*i - 8600.
-5*(i + 5)*(i + 172)*(7*i + 2)
Factor -g**2/4 + 27*g - 729.
-(g - 54)**2/4
Solve k**3/8 + 17*k**2/8 + 63*k/8 - 81/8 = 0.
-9, 1
Find v, given that 2*v**2/5 + 1028*v/5 + 132098/5 = 0.
-257
What is g in 2*g**4 + 16*g**3 + 48*g**2 + 64*g + 32 = 0?
-2
Factor -34*w**3 - 182*w**2 - 308*w - 160.
-2*(w + 1)*(w + 2)*(17*w + 40)
Solve 2*d**3 + 146*d**2 - 306*d - 450 = 0 for d.
-75, -1, 3
Suppose -h**2/6 + 1259*h/6 + 1261/3 = 0. What is h?
-2, 1261
Factor 5*x**4 - 100*x**3 + 385*x**2 + 1210*x.
5*x*(x - 11)**2*(x + 2)
Suppose 2*q**4 + 16*q**3 + 22*q**2 - 16*q - 24 = 0. Calculate q.
-6, -2, -1, 1
Determine n, given that -18*n**5 + 315*n**4 - 1288*n**3 - 874*n**2 + 666*n - 81 = 0.
-1, 1/6, 1/3, 9
Suppose 2*d**4 - 20*d**3 = 0. What is d?
0, 10
Factor -5*o**4 + 490*o**3 - 960*o**2.
-5*o**2*(o - 96)*(o - 2)
Factor 10*u**4 + 82*u**3 + 182*u**2 + 110*u.
2*u*(u + 1)*(u + 5)*(5*u + 11)
Factor -12*r**4 + 16*r**3 + 52*r**2 + 24*r.
-4*r*(r - 3)*(r + 1)*(3*r + 2)
Find i such that -3*i**4/4 + 339*i**3/8 + 519*i**2/8 + 87*i/4 = 0.
-1, -1/2, 0, 58
Let 3*w**2 - 30*w + 63 = 0. What is w?
3, 7
Factor -15680*t**4 + 33040*t**3 - 19085*t**2 + 1770*t - 45.
-5*(t - 1)**2*(56*t - 3)**2
Determine u, given that 10*u**2/19 - 238*u/19 - 48/19 = 0.
-1/5, 24
Determine a so that -2*a**5/19 - 128*a**4/19 - 2168*a**3/19 - 3716*a**2/19 + 2170*a/19 + 3844/19 = 0.
-31, -2, -1, 1
Find c such that -4*c**5 - 32*c**4 + 83*c**3 + 25*c**2 - 52*c - 20 = 0.
-10, -1/2, 1, 2
Find o, given that -2*o**2/3 + 6*o - 12 = 0.
3, 6
Determine s, given that s**2/2 - 41*s/2 = 0.
0, 41
Factor -3*j**2/2 + 24.
-3*(j - 4)*(j + 4)/2
Suppose x**2 - 857*x/2 - 429/2 = 0. Calculate x.
-1/2, 429
Factor -c**4/3 + 17*c**3/6 - 20*c**2/3 + 8*c/3.
-c*(c - 4)**2*(2*c - 1)/6
What is x in -4*x**4 + 22*x**3 + 687*x**2/4 + 163*x/2 + 10 = 0?
-4, -1/4, 10
Factor -4*n**3 - 44*n**2 + 168*n.
-4*n*(n - 3)*(n + 14)
Let 96347750544721*x**4 + 246020429096*x**3 + 235576536*x**2 + 100256*x + 16 = 0. Calculate x.
-2/3133
Factor 2*o**2 - 8*o.
2*o*(o - 4)
Find k such that 2*k**2/17 + 284*k/17 + 10082/17 = 0.
-71
Factor -46*u**3/3 - 554*u**2/3 - 560*u - 24.
-2*(u + 6)**2*(23*u + 1)/3
Suppose r**2 - 252*r - 508 = 0. Calculate r.
-2, 254
Determine z, given that 4*z**4/3 - 8*z**3/3 - 16*z**2/3 + 8*z/3 + 4 = 0.
-1, 1, 3
What is u in 171*u**2/7 + 13164*u/7 - 33 = 0?
-77, 1/57
Determine v, given that 11*v**3/4 - 107*v**2/4 + 73*v/2 + 12 = 0.
-3/11, 2, 8
Determine f so that -5*f**4 - 90*f**3 - 300*f**2 - 280*f = 0.
-14, -2, 0
Find l such that 3*l**4 + 15*l**3 + 3*l**2 - 63*l - 54 = 0.
-3, -1, 2
Determine b, given that -4*b**5 + 376*b**4 - 7600*b**3 - 60000*b**2 = 0.
-6, 0, 50
Suppose 2*g**2 + 310*g - 628 = 0. Calculate g.
-157, 2
Determine x so that -7*x**4 - 117*x**3 - 519*x**2 - 283*x + 126 = 0.
-9, -7, -1, 2/7
Factor -2*x**2/5 - 486*x/5 + 488/5.
-2*(x - 1)*(x + 244)/5
Factor -10*v**2 - 515*v - 255.
-5*(v + 51)*(2*v + 1)
Factor -4*m**2 - 5844*m + 5848.
-4*(m - 1)*(m + 1462)
Determine x so that 7*x**2 + 439*x - 126 = 0.
-63, 2/7
Factor -45*b**2 - 84835*b - 18850.
-5*(b + 1885)*(9*b + 2)
Determine m so that 3*m**5 - 27*m**4 + 54*m**3 = 0.
0, 3, 6
Factor 4*d**3 + 4836*d**2 + 1459260*d - 1464100.
4*(d - 1)*(d + 605)**2
Factor 41472*d**5/7 + 492480*d**4/7 + 1431000*d**3/7 - 184035*d**2/7 + 7740*d/7 - 108/7.
3*(d + 6)**2*(24*d - 1)**3/7
What is v in 3*v**3/5 - 57*v**2/5 - 66*v/5 + 24 = 0?
-2, 1, 20
Determine n, given that 2*n**4 + 424*n**3/3 - 578*n**2/3 - 140*n/3 + 96 = 0.
-72, -2/3, 1
Determine k, given that 5*k**5 - 30*k**4 - 85*k**3 + 330*k**2 + 260*k - 840 = 0.
-3, -2, 2, 7
Find r such that 2*r**3 - 4*r**2 - 86*r - 80 = 0.
-5, -1, 8
Factor 2*k**3/23 - 6*k/23 - 4/23.
2*(k - 2)*(k + 1)**2/23
Let 20*s**3 + 25408*s**2 + 8074660*s + 3225800 = 0. Calculate s.
-635, -2/5
Factor -4*p**4 + 380*p**3 - 8833*p**2 - 9120*p - 2304.
-(p - 48)**2*(2*p + 1)**2
Factor -m**3/4 + 5*m**2/2 + 13*m + 14.
-(m - 14)*(m + 2)**2/4
Factor -2*m**3/3 + 4*m**2/3 + 808*m/3 + 528.
-2*(m - 22)*(m + 2)*(m + 18)/3
Factor -5*b**3 + 1130*b**2 - 2245*b + 1120.
-5*(b - 224)*(b - 1)**2
Suppose -7*n**5/2 - n**4 + 14*n**3 + 4*n**2 = 0. Calculate n.
-2, -2/7, 0, 2
Find b such that 4*b**2 + 28*b + 24 = 0.
-6, -1
Solve -p**2 - 248*p + 249 = 0.
-249, 1
Let 3*n**3/7 - 1839*n**2/7 + 3669*n/7 - 1833/7 = 0. Calculate n.
1, 611
Factor 3*m**2 - 996*m + 82668.
3*(m - 166)**2
Factor -2*z**3/5 - 26*z**2/5 + 2*z/5 + 26/5.
-2*(z - 1)*(z + 1)*(z + 13)/5
Factor 4*x**2 + 548*x - 552.
4*(x - 1)*(x + 138)
Find t such that 3*t**3/8 - 108*t**2 + 64719*t/8 - 178929/4 = 0.
6, 141
Solve -l**5 - 19*l**4 - 91*l**3 - 181*l**2 - 160*l - 52 = 0 for l.
-13, -2, -1
Let -28*j**3 + 8*j**2 = 0. Calculate j.
0, 2/7
Determine y, given that 3*y**2 + 4092*y + 1395372 = 0.
-682
Factor 3*r**3/5 + 36*r**2 + 540*r.
3*r*(r + 30)**2/5
Let j**5/2 + 7*j**4/2 + 7*j**3 + 4*j**2 = 0. Calculate j.
-4, -2, -1, 0
What is v in -2*v**2/3 - 772*v/3 + 3910/3 = 0?
-391, 5
Determine c so that -4*c**4 - 3284*c**3 + 39792*c**2 - 159680*c + 213248 = 0.
-833, 4
Determine q so that 12*q**5 - 4*q**4 - 36*q**3 - 12*q**2 + 8*q = 0.
-1, 0, 1/3, 2
Suppose -15*v**5 + 792*v**4 - 53832*v**3/5 + 41184*v**2/5 - 8112*v/5 = 0. What is v?
0, 2/5, 26
Factor -4*h**4 + 3280*h**3 - 1008600*h**2 + 137842000*h - 7064402500.
-4*(h - 205)**4
Find n such that 3*n**2/4 - 369*n/4 = 0.
0, 123
Factor z**4/5 + 73*z**3/5 + 1368*z**2/5 + 1296*z/5.
z*(z + 1)*(z + 36)**2/5
Determine r so that -4*r**4 + 40*r**3 + 92*r**2 + 48*r = 0.
-1, 0, 12
Determine h, given that -4*h**4 - 52*h**3 - 24*h**2 + 288*h = 0.
-12, -3, 0, 2
Factor x**4/4 + 15*x**3/2 - 72*x**2 + 152*x.
x*(x - 4)**2*(x + 38)/4
What is n in 10*n**5/3 + 38*n**4/3 - 174*n**3/5 - 1246*n**2/15 - 704*n/15 - 8 = 0?
-5, -1, -2/5, 3
Factor j**4/4 - 483*j**3/2 + 229393*j**2/4 + 470442*j + 948676.
(j - 487)**2*(j + 4)**2/4
Factor -2*n**2 + 238*n + 984.
-2*(n - 123)*(n + 4)
Factor -j**3/6 - 113*j**2/6 - 1624*j/3 - 1568/3.
-(j + 1)*(j + 56)**2/6
Let i**5/2 - 87*i**4 + 3952*i**3 - 14363*i**2 - 7905*i/2 + 14450 = 0. What is i?
-1, 1, 4, 85
Determine b so that 2*b**2/7 - 6*b/7 - 20/7 = 0.
-2, 5
Determine p so that 2*p**4/13 + 14*p**3/13 + 22*p**2/13 - 14*p/13 - 24/13 = 0.
-4, -3, -1, 1
Factor -3*u**5/4 - 49*u**4/4 + 17*u**3/2.
-u**3*(u + 17)*(3*u - 2)/4
Su