55225/3.
-(y - 235)**2/3
Factor z**3/6 + 43*z**2/2.
z**2*(z + 129)/6
Solve -a**3 + 414*a**2 - 57132*a + 2628072 = 0 for a.
138
Factor -2*g**3 - 26*g**2 - 84*g.
-2*g*(g + 6)*(g + 7)
Factor n**4/2 - 5*n**3 + 17*n**2/2 - 4*n.
n*(n - 8)*(n - 1)**2/2
Let -g**5 + 2*g**4 - g**3 = 0. Calculate g.
0, 1
Suppose 4*z**2/5 - 912*z + 259920 = 0. What is z?
570
Factor -p**3 + 63*p**2 + p - 63.
-(p - 63)*(p - 1)*(p + 1)
Factor j**3/4 - 15*j**2/4 + 75*j/4 - 125/4.
(j - 5)**3/4
Factor 7*a**2 + 22*a + 15.
(a + 1)*(7*a + 15)
Factor 27*q**3 + 426*q**2 + 1632*q - 384.
3*(q + 8)**2*(9*q - 2)
Find h, given that -2*h**2/13 + 308*h/13 + 310/13 = 0.
-1, 155
Find t, given that 12*t**4 - 256*t**3 + 824*t**2 + 2464*t + 1372 = 0.
-1, 7, 49/3
Factor -4*c**4/3 - 8*c**3/3 + 52*c**2/3 - 40*c/3.
-4*c*(c - 2)*(c - 1)*(c + 5)/3
Find s such that 3*s**4/8 - 15*s**2/8 + 3/2 = 0.
-2, -1, 1, 2
Let i**5/3 - i**4/3 - 16*i**3/3 + 16*i**2/3 = 0. Calculate i.
-4, 0, 1, 4
What is r in 25*r**3 - 335*r**2 + 1015*r + 735 = 0?
-3/5, 7
What is g in 20*g**4/7 - 928*g**3/7 + 4548*g**2/7 - 4952*g/7 + 1312/7 = 0?
2/5, 1, 4, 41
Factor 2*d**5/3 - 4*d**4/3 - 88*d**3/3 + 156*d**2 - 270*d + 144.
2*(d - 3)**3*(d - 1)*(d + 8)/3
Factor 2*f**4 - 2*f**3 - 8*f**2 + 8*f.
2*f*(f - 2)*(f - 1)*(f + 2)
What is v in -4*v**5 - 80*v**4 - 404*v**3 - 184*v**2 + 672*v = 0?
-12, -7, -2, 0, 1
Determine n, given that -2*n**4/7 + 12*n**3/7 - 22*n**2/7 + 12*n/7 = 0.
0, 1, 2, 3
Factor 5*q**4 + 25*q**3 + 35*q**2 + 15*q.
5*q*(q + 1)**2*(q + 3)
Factor -2*m**2/9 - 74*m/9 - 200/3.
-2*(m + 12)*(m + 25)/9
Find b such that b**3/11 + 25*b**2/11 + 114*b/11 = 0.
-19, -6, 0
Factor -676*r**4/7 - 4264*r**3/7 - 7348*r**2/7 - 1968*r/7 - 144/7.
-4*(r + 3)**2*(13*r + 2)**2/7
Find b, given that -2*b**3 - 282*b**2 + 1160*b = 0.
-145, 0, 4
Suppose 3*h**2/4 - 69*h/4 + 90 = 0. Calculate h.
8, 15
Find h such that -3*h**3 - 4968*h**2 - 2742336*h - 504589824 = 0.
-552
Let 18*k**4 + 14448*k**3 + 9626*k**2 + 1604*k = 0. Calculate k.
-802, -1/3, 0
Factor 4*v**2 + 112*v + 460.
4*(v + 5)*(v + 23)
What is f in -f**5 - 6*f**4 - 12*f**3 - 10*f**2 - 3*f = 0?
-3, -1, 0
Suppose 10*l**3 + 193*l**2/2 + 119*l/2 + 9 = 0. Calculate l.
-9, -2/5, -1/4
Determine a so that -2*a**4/15 + 8*a**3/15 - 4*a**2/15 - 8*a/15 + 2/5 = 0.
-1, 1, 3
Let 36*v**5/5 - 1056*v**4/5 + 2272*v**3/5 - 72*v**2/5 - 964*v/5 - 216/5 = 0. What is v?
-1/3, 1, 2, 27
Find k, given that -2*k**4/9 + 4*k**3/9 + 32*k**2/3 - 260*k/9 - 350/9 = 0.
-7, -1, 5
Solve -2*f**4 + 22*f**3 - 82*f**2 + 122*f - 60 = 0.
1, 2, 3, 5
Factor -2*j**3/7 + 2*j**2/7 + 8*j/7 - 8/7.
-2*(j - 2)*(j - 1)*(j + 2)/7
Factor t**4/4 - 289*t**3 + 111168*t**2 - 14154620*t - 28756228.
(t - 386)**3*(t + 2)/4
Factor -o**3 - 447*o**2 + 1801*o - 1353.
-(o - 3)*(o - 1)*(o + 451)
Factor 2*h**2/5 - 198*h/5 + 188.
2*(h - 94)*(h - 5)/5
Factor -3*w**2/7 + 18*w/7 - 15/7.
-3*(w - 5)*(w - 1)/7
Factor 2*s**2/3 - 40*s/3.
2*s*(s - 20)/3
Determine a so that 2*a**5 + 60*a**4 + 556*a**3 + 1616*a**2 + 1794*a + 676 = 0.
-13, -2, -1
Determine i, given that 75*i**3/4 + 149*i**2/4 - i/2 = 0.
-2, 0, 1/75
Solve -i**5/8 - 61*i**4/8 - 499*i**3/8 + 561*i**2/8 = 0.
-51, -11, 0, 1
Factor 5*c**4 + 95*c**3 - 5*c**2 - 95*c.
5*c*(c - 1)*(c + 1)*(c + 19)
Factor 2*f**4 + 10*f**3.
2*f**3*(f + 5)
Factor -14*w**4 + 33*w**3 - 25*w**2 + 6*w.
-w*(w - 1)*(2*w - 1)*(7*w - 6)
Factor -3*n**3 - 126*n**2.
-3*n**2*(n + 42)
Factor 4*y**2 + 1296*y + 104976.
4*(y + 162)**2
Solve -m**5/6 - 5*m**4/6 + 4*m**3/3 + 2*m**2 = 0.
-6, -1, 0, 2
What is t in -t**5 - 2952*t**4/5 - 86072*t**3 + 1583598*t**2/5 - 621027*t/5 - 529254/5 = 0?
-297, -2/5, 1, 3
Factor -2*f**2/7 + 54*f/7 + 180/7.
-2*(f - 30)*(f + 3)/7
Factor -3*w**2 - 108*w + 111.
-3*(w - 1)*(w + 37)
Factor 3*y**3 - 129*y**2 - 12*y + 516.
3*(y - 43)*(y - 2)*(y + 2)
Find t, given that -2*t**2/7 - 20*t/7 - 48/7 = 0.
-6, -4
Factor 4*c**2 + 5080*c + 1612900.
4*(c + 635)**2
Factor 3*s**4 + 582*s**3 + 29919*s**2 + 164124*s + 238572.
3*(s + 3)**2*(s + 94)**2
Factor 5*n**2 - 215*n + 600.
5*(n - 40)*(n - 3)
Factor -w**2/5 + 1712*w/5 - 732736/5.
-(w - 856)**2/5
Factor 3*s**3/5 + 123*s**2/5 + 1158*s/5 + 1848/5.
3*(s + 2)*(s + 11)*(s + 28)/5
Suppose -2*c**2 + 1308*c - 213858 = 0. What is c?
327
Let 2*l**2/9 - 200*l/9 - 206/3 = 0. Calculate l.
-3, 103
Factor 4*i**3 - 84*i**2 - 676*i + 756.
4*(i - 27)*(i - 1)*(i + 7)
Determine d so that d**3/6 + 19*d**2/3 + 197*d/6 + 80/3 = 0.
-32, -5, -1
Determine m, given that 2*m**2/5 - 2*m - 72/5 = 0.
-4, 9
Suppose -2*n**5/7 + 8*n**4/7 - 10*n**3/7 + 4*n**2/7 = 0. What is n?
0, 1, 2
Factor d**5/3 - 3760*d**4/3 + 5655040*d**3/3 - 4252590080*d**2/3 + 1598973870080*d/3 - 240485670060032/3.
(d - 752)**5/3
Find k, given that 3*k**3/2 - 71*k**2 + 185*k/2 - 23 = 0.
1/3, 1, 46
Solve -z**3/3 + 13*z**2/3 - 16*z + 12 = 0 for z.
1, 6
Factor -y**2 - 3*y + 108.
-(y - 9)*(y + 12)
Let 64*c**5/5 - 84*c**4/5 + 21*c**3/5 - c**2/5 = 0. Calculate c.
0, 1/16, 1/4, 1
Factor -5*f**3 + 2135*f**2 + 2150*f - 4280.
-5*(f - 428)*(f - 1)*(f + 2)
Let 3*j**2/8 + 27*j/8 - 33/4 = 0. Calculate j.
-11, 2
Solve g**3/4 - 7*g**2/4 + g + 3 = 0.
-1, 2, 6
Solve -t**2/2 - 5*t/2 = 0.
-5, 0
Factor z**4/5 - 2*z**3/5 - 7*z**2/5 + 4*z - 12/5.
(z - 2)**2*(z - 1)*(z + 3)/5
Factor k**5/2 - 13*k**4/2 + 49*k**3/2 - 79*k**2/2 + 29*k - 8.
(k - 8)*(k - 2)*(k - 1)**3/2
Factor -l**2/3 + l/3 + 4.
-(l - 4)*(l + 3)/3
Determine d, given that -d**2 - 2674*d + 5352 = 0.
-2676, 2
Factor y**2/4 - 9*y/4 + 2.
(y - 8)*(y - 1)/4
Determine b so that -b**4/7 + 6*b**3/7 + b**2 - 60*b/7 = 0.
-3, 0, 4, 5
Factor 2*f**3/5 - 6*f/5 - 4/5.
2*(f - 2)*(f + 1)**2/5
Determine h so that 2*h**2/11 - 94*h/11 + 1064/11 = 0.
19, 28
Determine o so that 2*o**5/7 - 46*o**4/7 + 42*o**3 - 626*o**2/7 + 544*o/7 - 24 = 0.
1, 6, 14
Factor 8*i**3/9 - 634*i**2/9 - 3202*i/9 + 280/3.
2*(i - 84)*(i + 5)*(4*i - 1)/9
Determine y so that 2*y**4/9 - 64*y**3/9 - 608*y**2/9 - 1280*y/9 = 0.
-4, 0, 40
Find j such that -140454*j**4/11 + 42228*j**3 + 35160*j**2 + 9872*j/11 + 64/11 = 0.
-2/3, -2/153, 4
Solve -4*t**5 - 20*t**4 - 40*t**3 - 40*t**2 - 20*t - 4 = 0 for t.
-1
Factor -4*k**3/5 + 2448*k**2/5.
-4*k**2*(k - 612)/5
Find j, given that -j**3/3 - j**2 + 2*j + 8/3 = 0.
-4, -1, 2
Factor 50*d**3/3 - 54080*d**2/3 - 21638*d/3 - 2164/3.
2*(d - 1082)*(5*d + 1)**2/3
Solve 5*z**4/3 - 25*z**3/3 - 65*z**2/3 - 35*z/3 = 0 for z.
-1, 0, 7
Suppose -26*d**3 + 678*d**2 - 4446*d + 338 = 0. Calculate d.
1/13, 13
Let -z**2/2 - 399*z = 0. Calculate z.
-798, 0
Let -24*z**4/5 - 2884*z**3/5 - 94872*z**2/5 - 483588*z/5 - 77976/5 = 0. Calculate z.
-57, -6, -1/6
Let -4*q**4/3 - 40*q**3/3 - 109*q**2/3 - 27*q - 6 = 0. What is q?
-6, -3, -1/2
Let 3*c**4/8 - 3*c**3/4 - 45*c**2/2 - 69*c - 60 = 0. Calculate c.
-4, -2, 10
Factor 21*x**2/2 + 4950*x - 2832.
3*(x + 472)*(7*x - 4)/2
Suppose f**5/4 - 27*f**4/4 - 297*f**3/4 - 945*f**2/4 - 243*f = 0. Calculate f.
-3, 0, 36
Factor -2*y**2/7 + 20*y/7 - 32/7.
-2*(y - 8)*(y - 2)/7
Solve 2*w**3 - 187*w**2/4 + 69*w/4 = 0.
0, 3/8, 23
Find s, given that 3*s**5 - 12*s**4 - 72*s**3 + 138*s**2 + 645*s + 450 = 0.
-3, -2, -1, 5
What is g in -3*g**5/2 - 15*g**4/2 - 21*g**3/2 + 3*g**2/2 + 12*g + 6 = 0?
-2, -1, 1
Factor -2*a**4/15 - 8*a**3/15 + 12*a**2 - 216*a/5 + 234/5.
-2*(a - 3)**3*(a + 13)/15
Find v such that 2*v**4/3 + 4*v**3 - 16*v**2/3 - 4*v + 14/3 = 0.
-7, -1, 1
Let -5*h**2 + 615*h + 1890 = 0. Calculate h.
-3, 126
Factor 5*k**2 + 40*k - 420.
5*(k - 6)*(k + 14)
Solve -4*v**4 - 112*v**3 - 960*v**2 - 2304*v = 0 for v.
-12, -4, 0
Factor -2*n**2/7 + 8620*n/7 - 8618/7.
-2*(n - 4309)*(n - 1)/7
Solve -3*w**3 - 3*w**2 + 12*w + 12 = 0 for w.
-2, -1, 2
Solve u**2/7 + 173*u/7 + 342/7 = 0.
-171, -2
Determine n, given that 40*n**3 + 524*n**2 + 532*n + 48 = 0.
-12, -1, -1/10
Factor 4*s**4 + 32*s**3 - 288*s**2 + 640*s - 448.
4*(s - 2)**3*(s + 14)
Factor -16*p**4 - 168*p**3 - 201*p**2 + 133*p - 18.
-(p + 2)*(p + 9)*(4*p - 1)**2
Determine n so that 28*n**3 - 132*n**2 - 40*n = 0.
-2/7, 0, 5
Determine z so that 5*z**5 + 1115*z**4 + 4325*z**3 - 12015*z**2 + 6570*z = 0.
-219, -6, 0, 1
Factor 10*f**2 + 55*f + 25.
5*(f + 5)*(2*f + 1)
Factor -3*k**3 - 12*k**2 - 3*k + 18.
-3*(k - 1)*(k + 2)*(k + 3)
Factor b**5 + 3*b**4 - 4*b**2.
b**2*(b - 1)*(b + 2)**2
Factor -w**5 + 61*w**4 - 174*w**3 - 4*w**2 + 232*w.
-w*(w - 58)*(w - 2)**2*(w + 1)
Factor -10*j**2/7 -