(s - 6)/4
Factor -3*q**4 + 18*q**3 - 27*q**2 + 12*q.
-3*q*(q - 4)*(q - 1)**2
Determine g so that 1911*g**5/5 - 1995*g**4 + 3552*g**3 - 2508*g**2 + 672*g - 192/5 = 0.
1/13, 4/7, 2
Factor -2*u**4 - 10*u**3 - 16*u**2 - 8*u.
-2*u*(u + 1)*(u + 2)**2
Factor 5*g**4 - 820*g**3 + 2415*g**2.
5*g**2*(g - 161)*(g - 3)
Factor 3*v**2 - 222*v - 225.
3*(v - 75)*(v + 1)
Suppose 3*v**2/2 + 45*v/2 + 66 = 0. Calculate v.
-11, -4
Factor -2*i**2/13 + 516*i/13 - 33282/13.
-2*(i - 129)**2/13
Let -4*r**2 - 259*r - 192 = 0. What is r?
-64, -3/4
Factor 2*j**3 + 26*j**2 - 96*j.
2*j*(j - 3)*(j + 16)
Let 3*s**4/4 + 15*s**3/2 + 6*s**2 - 15*s/2 - 27/4 = 0. What is s?
-9, -1, 1
Find w, given that 5*w**5 - 230*w**4 + 3630*w**3 - 25020*w**2 + 74925*w - 80190 = 0.
3, 9, 22
Let -49*z**3 - 287*z**2 - 219*z - 45 = 0. What is z?
-5, -3/7
Find k, given that 5*k**5 + 78*k**4 + 178*k**3 + 116*k**2 - 15*k - 26 = 0.
-13, -1, 2/5
Factor 5*d**5 - 1160*d**4 - 2335*d**3 - 1170*d**2.
5*d**2*(d - 234)*(d + 1)**2
Factor h**4/5 + 42*h**3/5 + 16*h**2.
h**2*(h + 2)*(h + 40)/5
Factor -75*j**3 - 110*j**2 + 75*j - 10.
-5*(j + 2)*(3*j - 1)*(5*j - 1)
Determine r, given that 2*r**3/3 - 40*r**2/3 - 94*r/3 + 44 = 0.
-3, 1, 22
Solve 98*j**5/11 - 644*j**4/11 + 344*j**3/11 - 48*j**2/11 = 0 for j.
0, 2/7, 6
Factor -2*t**4/9 + 2*t**3 - 14*t**2/3 + 38*t/9 - 4/3.
-2*(t - 6)*(t - 1)**3/9
Suppose -2*n**5/11 - 12*n**4 + 2*n**3/11 + 12*n**2 = 0. Calculate n.
-66, -1, 0, 1
Factor -4*a**5 - 5168*a**4 - 1679568*a**3 - 6656384*a**2 - 6635776*a.
-4*a*(a + 2)**2*(a + 644)**2
Find v such that -2*v**5 + 65*v**4/2 - 136*v**3 + 32*v**2 = 0.
0, 1/4, 8
Factor 6*w**2/11 - 4*w/11.
2*w*(3*w - 2)/11
Factor -l**5/2 + 6*l**4 - 26*l**3 + 48*l**2 - 32*l.
-l*(l - 4)**2*(l - 2)**2/2
Suppose 3*h**4 + 30*h**3 - 72*h**2 = 0. Calculate h.
-12, 0, 2
Solve -i**2/4 + 71*i + 143 = 0 for i.
-2, 286
Factor -4*q**3 + 168*q**2 + 720*q + 736.
-4*(q - 46)*(q + 2)**2
Let -w**5/2 + 7*w**3/2 + 3*w**2 = 0. What is w?
-2, -1, 0, 3
Factor 5*t**3 + 95*t**2 + 170*t.
5*t*(t + 2)*(t + 17)
Factor c**3/11 + 3309*c**2/11 + 3649827*c/11 + 1341919727/11.
(c + 1103)**3/11
Factor -2*c**4/3 + 22*c**3/3 - 38*c**2/3 + 6*c.
-2*c*(c - 9)*(c - 1)**2/3
Find j such that -4*j**4 + 160*j**3 - 1736*j**2 + 2432*j + 4332 = 0.
-1, 3, 19
Let 5*j**5 + 50*j**4 + 65*j**3 - 160*j**2 - 340*j - 160 = 0. Calculate j.
-8, -2, -1, 2
Solve 4*b**2 + 40*b + 96 = 0 for b.
-6, -4
Factor -9*i**5 - 79*i**4 - 225*i**3 - 189*i**2 + 54*i.
-i*(i + 3)**3*(9*i - 2)
Suppose b**4 - 6*b**3 + 5*b**2 = 0. What is b?
0, 1, 5
Solve 3*q**4/7 - 1422*q**3/7 + 224676*q**2/7 - 11832936*q/7 = 0 for q.
0, 158
Find o, given that -4*o**5 + 308*o**4 + 1276*o**3 + 1612*o**2 + 648*o = 0.
-2, -1, 0, 81
Find b such that 3*b**4 - 12*b**3 + 12*b**2 = 0.
0, 2
Factor -m**4/3 - 2*m**3/3 + m**2.
-m**2*(m - 1)*(m + 3)/3
Factor 2*f**3/7 - 86*f**2/7 + 638*f/7 + 726/7.
2*(f - 33)*(f - 11)*(f + 1)/7
Factor 2*l**4/13 + 4*l**3/13 - 2*l**2/13 - 4*l/13.
2*l*(l - 1)*(l + 1)*(l + 2)/13
Let 5*v**2 - 340*v + 5780 = 0. What is v?
34
Factor w**3/4 + 69*w**2/4 + 135*w/4 + 67/4.
(w + 1)**2*(w + 67)/4
Find o, given that -3*o**2 + 2997*o - 2994 = 0.
1, 998
Solve -7*n**5 + 236*n**4 - 975*n**3 + 514*n**2 + 232*n = 0 for n.
-2/7, 0, 1, 4, 29
Find j such that 5*j**2 + 90*j - 200 = 0.
-20, 2
Solve z**5/2 + 19*z**4 + 193*z**3/2 + 4*z**2 - 376*z + 256 = 0.
-32, -4, 1
Factor 3*d**2/2 - 15*d + 27/2.
3*(d - 9)*(d - 1)/2
Factor -i**4/4 - i**3/4 + 3*i**2/4 + i/4 - 1/2.
-(i - 1)**2*(i + 1)*(i + 2)/4
Let -d**3 - 114*d**2 + 240*d + 928 = 0. Calculate d.
-116, -2, 4
Let -2*t**3/9 - 12*t**2 + 110*t/9 = 0. Calculate t.
-55, 0, 1
Factor 4*d**2/3 - 52*d/3 + 16.
4*(d - 12)*(d - 1)/3
Factor 2*z**4/11 + 6*z**3/11 - 18*z**2/11 + 10*z/11.
2*z*(z - 1)**2*(z + 5)/11
Determine q, given that -4*q**2/3 - 76*q/3 - 24 = 0.
-18, -1
Solve -14*f**5/3 + 82*f**4 - 340*f**3/3 - 64*f**2 = 0 for f.
-3/7, 0, 2, 16
Suppose -2*x**2/7 + 484*x/7 = 0. What is x?
0, 242
Factor -4*h**5 + 60*h**4 + 204*h**3 + 212*h**2 + 72*h.
-4*h*(h - 18)*(h + 1)**3
Let -5*v**4 - 12*v**3 + 101*v**2 - 48*v - 36 = 0. Calculate v.
-6, -2/5, 1, 3
Suppose -j**5 + 29*j**4 - 54*j**3 - 2*j**2 + 55*j - 27 = 0. Calculate j.
-1, 1, 27
Factor 3*f**3 + 870*f**2 + 60384*f - 394272.
3*(f - 6)*(f + 148)**2
Factor a**4/4 - 3*a**3/4 - 33*a**2/4 - 53*a/4 - 6.
(a - 8)*(a + 1)**2*(a + 3)/4
What is f in -f**5/5 + 4*f**4/5 + 7*f**3/5 - 2*f**2 = 0?
-2, 0, 1, 5
Solve 2*k**5/5 + 78*k**4/5 + 96*k**3/5 - 12656*k**2/5 + 61152*k/5 - 48672/5 = 0.
-26, 1, 6
Factor -2*l**4/11 + 30*l**3/11.
-2*l**3*(l - 15)/11
Let -4*c**2 + 35552*c - 78996544 = 0. Calculate c.
4444
Factor 3*y**3 + 1784*y**2 + 265815*y + 176418.
(y + 297)**2*(3*y + 2)
Solve 2*n**2 - 18072*n + 40824648 = 0 for n.
4518
Factor 2*j**2/3 + 24*j - 74/3.
2*(j - 1)*(j + 37)/3
Factor 2*y**3/13 + 526*y**2/13 + 524*y/13.
2*y*(y + 1)*(y + 262)/13
Factor -2*o**3/9 - 14*o**2/3 - 20*o.
-2*o*(o + 6)*(o + 15)/9
Factor -2*z**5/3 - 24*z**4 - 238*z**3 - 1156*z**2/3.
-2*z**2*(z + 2)*(z + 17)**2/3
Solve 2*x**3/21 + 18*x**2/7 + 130*x/7 + 850/21 = 0.
-17, -5
Solve -4*k**2 - 540*k - 536 = 0.
-134, -1
Factor 3*n**3/5 + 84*n**2/5 - 2037*n/5 - 4386/5.
3*(n - 17)*(n + 2)*(n + 43)/5
Factor -h**5/9 + 5*h**4/9 + 2*h**3/3.
-h**3*(h - 6)*(h + 1)/9
Find j, given that -j**2/10 + 69*j/5 = 0.
0, 138
Factor y**2 + 35*y - 200.
(y - 5)*(y + 40)
Let 2*g**2/11 - 4216*g/11 + 2221832/11 = 0. What is g?
1054
Solve 32*t**4 - 510*t**3 + 896*t**2 - 390*t - 28 = 0 for t.
-1/16, 1, 14
Let -2*v**3/3 + 40*v**2/3 + 62*v + 48 = 0. Calculate v.
-3, -1, 24
Let -3*h**2 - 6*h + 45 = 0. What is h?
-5, 3
What is s in 2*s**2/7 + 72*s/7 + 136/7 = 0?
-34, -2
Factor 2165*b**2 - 2*b.
b*(2165*b - 2)
Factor d**4 - 47*d**3 + 630*d**2 - 3348*d + 6264.
(d - 29)*(d - 6)**3
Factor 4*n**3 + 144*n**2 + 272*n.
4*n*(n + 2)*(n + 34)
Solve -3*y**5 - 75*y**4 + 6*y**3 + 150*y**2 - 3*y - 75 = 0.
-25, -1, 1
Factor -u**3/5 + 373*u**2/5 - 372*u/5.
-u*(u - 372)*(u - 1)/5
Suppose 3*n**5/7 - 234*n**4/7 + 222*n**3/7 + 708*n**2/7 - 1161*n/7 + 66 = 0. Calculate n.
-2, 1, 77
Factor i**3 - 5*i**2 - 12*i + 36.
(i - 6)*(i - 2)*(i + 3)
Determine a so that 3*a**5/5 - 9*a**4/5 + 3*a**3/5 + 9*a**2/5 - 6*a/5 = 0.
-1, 0, 1, 2
Factor 25*c**3 + 215*c**2 - 90*c.
5*c*(c + 9)*(5*c - 2)
Find p such that -5*p**2 - 17120*p - 14654720 = 0.
-1712
Suppose -3*z**2/2 + 27*z - 243/2 = 0. What is z?
9
Factor 6*i**2/5 + 120*i + 1176/5.
6*(i + 2)*(i + 98)/5
Factor -5*c**2 + 5415*c.
-5*c*(c - 1083)
Suppose 5*l**3 + 390*l**2 + 1500*l + 1480 = 0. Calculate l.
-74, -2
Factor -m**5/5 + 2*m**4/5 - 2*m**2/5 + m/5.
-m*(m - 1)**3*(m + 1)/5
Factor 4*d**3 - 1768*d**2 + 17380*d - 43200.
4*(d - 432)*(d - 5)**2
Find g, given that 4*g**4/3 - 56*g**3/3 + 140*g**2/3 - 88*g/3 = 0.
0, 1, 2, 11
Determine c, given that -2*c**4/3 + 196*c**3 - 2330*c**2/3 + 968*c - 1160/3 = 0.
1, 2, 290
Factor l**4/8 - 25*l**3/4 - 219*l**2/8 + 18*l + 243/2.
(l - 54)*(l - 2)*(l + 3)**2/8
Factor -5*b**4/2 + 65*b**3/2 - 140*b**2 + 200*b.
-5*b*(b - 5)*(b - 4)**2/2
Suppose 132*a**2 + 280*a + 32 = 0. What is a?
-2, -4/33
Factor 5*x**5 - 60*x**4 + 240*x**3 - 320*x**2.
5*x**2*(x - 4)**3
Determine k so that 10*k**2/13 + 66*k/13 + 36/13 = 0.
-6, -3/5
Solve u**3/7 + 31*u**2/7 - 69*u/7 - 99/7 = 0.
-33, -1, 3
Let -25*f**5 - 60*f**4 + 254*f**3 + 408*f**2 + 131*f + 12 = 0. Calculate f.
-4, -1, -1/5, 3
Factor 3*x**2/7 - 222*x/7 + 219/7.
3*(x - 73)*(x - 1)/7
Solve 4*t**4/7 - 52*t**3/7 - 500*t**2/7 - 1164*t/7 - 720/7 = 0.
-3, -1, 20
Factor 4*t**5 - 16*t**4 + 24*t**3 - 16*t**2 + 4*t.
4*t*(t - 1)**4
Suppose 3*w**5 + 840*w**4 + 59634*w**3 + 116760*w**2 + 57963*w = 0. What is w?
-139, -1, 0
Factor -5*n**2/6 + 230*n/3 - 5290/3.
-5*(n - 46)**2/6
Let -4*p**3 + 108*p**2 - 780*p + 1700 = 0. What is p?
5, 17
Factor -4*s**4/3 + 104*s**3/3 - 100*s**2/3.
-4*s**2*(s - 25)*(s - 1)/3
Factor j**4 + j**3 - 2*j**2.
j**2*(j - 1)*(j + 2)
What is j in -5*j**4 - 250*j**3 - 4665*j**2 - 38500*j - 118580 = 0?
-14, -11
Let -v**3 - 1024*v**2 - 260084*v + 1056784 = 0. Calculate v.
-514, 4
Determine z, given that z**4 - 768*z**3 + 221184*z**2 - 28311552*z + 1358954496 = 0.
192
Factor 4*p**4 - 4*p**2.
4*p**2*(p - 1)*(p + 1)
Factor -28*y**3/3 - 40*y**2/3 + 116*y/3 - 16.
-4*(y - 1)*(y + 3)*(7*y - 4)/3
Solve -2*y**3/3 - 188*y**2/3 + 130*y + 192 = 0 for y.
-96, -1, 3
Factor -8*h**2/