*4/7 - 111*b**3/7 + 180*b**2/7 - 108*b/7.
-3*b*(b - 3)**2*(b - 2)**2/7
Let 5*t**4 + 100*t**3 - 220*t**2 = 0. Calculate t.
-22, 0, 2
Let 2*i**5/7 - 8*i**4/7 - 2*i**3/7 + 8*i**2/7 = 0. Calculate i.
-1, 0, 1, 4
Solve -3*s**5 - 69*s**4 - 459*s**3 - 1215*s**2 - 1134*s = 0 for s.
-14, -3, 0
Determine j, given that -4*j**3/5 - 12*j**2/5 + 4*j/5 + 12/5 = 0.
-3, -1, 1
Factor -2*r**2 + 138*r + 140.
-2*(r - 70)*(r + 1)
Determine u, given that 5*u**5/2 - 3*u**4/2 - 15*u**3/2 - u**2/2 + 3*u = 0.
-1, 0, 3/5, 2
Factor -2*o**3 - 18*o**2 + 24*o + 40.
-2*(o - 2)*(o + 1)*(o + 10)
Factor 28*p**4 - 1576*p**3 + 1988*p**2 - 440*p.
4*p*(p - 55)*(p - 1)*(7*p - 2)
Factor a**4/5 + 14*a**3/5 + 9*a**2 + 52*a/5 + 4.
(a + 1)**2*(a + 2)*(a + 10)/5
Solve -2*n**2/11 + 82*n/11 + 84/11 = 0.
-1, 42
Find s such that 3267*s**3 - 3168*s**2 - 393*s/4 - 3/4 = 0.
-1/66, 1
Factor 2028*y**5 - 5148*y**4 - 11709*y**3 + 31566*y**2 + 16740*y - 48600.
3*(y - 2)**3*(26*y + 45)**2
Factor -2116*d**4/7 - 276*d**3/7 - 9*d**2/7.
-d**2*(46*d + 3)**2/7
What is c in 18*c**3 - 40*c**2 - 46*c + 12 = 0?
-1, 2/9, 3
Suppose -6*g**2 + 8*g - 2 = 0. Calculate g.
1/3, 1
Factor -3*t**2 + 42*t.
-3*t*(t - 14)
Determine u so that u**4/2 - 3*u**3 - u**2/2 + 3*u = 0.
-1, 0, 1, 6
Determine i so that 7*i**5/3 - 31*i**4 + 397*i**3/3 - 201*i**2 + 352*i/3 - 20 = 0.
2/7, 1, 5, 6
Solve -4*h**5 + 12*h**4 + 4*h**3 - 44*h**2 + 48*h - 16 = 0.
-2, 1, 2
What is c in c**3/10 - 2*c**2/5 - 3*c/10 + 9/5 = 0?
-2, 3
Factor -t**4/4 + t**3/2 + t**2/4 - t/2.
-t*(t - 2)*(t - 1)*(t + 1)/4
Factor -4*o**5 + 252*o**4 - 5616*o**3 + 53568*o**2 - 186624*o.
-4*o*(o - 27)*(o - 12)**3
Find f, given that -2*f**4/13 - 30*f**3/13 + 18*f**2 - 378*f/13 = 0.
-21, 0, 3
Factor -3*q**4/4 + 69*q**3/2 - 1719*q**2/4 + 759*q - 363.
-3*(q - 22)**2*(q - 1)**2/4
Let 9*w**5/4 + 97*w**4/4 - 11*w**3/2 = 0. What is w?
-11, 0, 2/9
Solve w**5 + 16*w**4 + 5*w**3 - 142*w**2 + 120*w = 0.
-15, -4, 0, 1, 2
Factor 3*f**4/7 - 39*f**3/7 + 162*f**2/7 - 216*f/7.
3*f*(f - 6)*(f - 4)*(f - 3)/7
Suppose -2*u**5/13 - 2*u**4/13 + 10*u**3/13 - 6*u**2/13 = 0. What is u?
-3, 0, 1
Factor 2*q**3 - 6*q**2.
2*q**2*(q - 3)
Factor -6*o**4 - 288*o**3 - 6615*o**2/2 + 7203*o/2.
-3*o*(o - 1)*(2*o + 49)**2/2
What is j in 2*j**5/9 - 2*j**4/9 - 2*j**3/3 + 2*j**2/9 + 4*j/9 = 0?
-1, 0, 1, 2
Factor 2*s**2/7 - 530*s/7 + 528/7.
2*(s - 264)*(s - 1)/7
Factor 3*q**2 + 186*q + 2883.
3*(q + 31)**2
What is v in 14*v**3/15 + 1014*v**2/5 + 868*v/15 = 0?
-217, -2/7, 0
Factor -3*i**4/2 - 27*i**3/2 - 63*i**2/2 - 57*i/2 - 9.
-3*(i + 1)**3*(i + 6)/2
Factor 2*u**3/11 + 36*u**2/11 - 200*u/11 - 48.
2*(u - 6)*(u + 2)*(u + 22)/11
Let 3*k**2/2 - 147*k/2 - 234 = 0. What is k?
-3, 52
Solve 60*s**3 - 129*s**2 + 12*s + 12 = 0 for s.
-1/4, 2/5, 2
Determine u so that 5*u**5 - 20*u**4 - 265*u**3 - 380*u**2 + 260*u + 400 = 0.
-4, -2, -1, 1, 10
Factor -j**4/2 + 9*j**3/4 + 5*j**2/4.
-j**2*(j - 5)*(2*j + 1)/4
Suppose -5*m**4 + 35*m**3 - 70*m**2 + 40*m = 0. Calculate m.
0, 1, 2, 4
Solve 27*a**5 - 384*a**4 - 861*a**3 + 1506*a**2 - 288*a = 0.
-3, 0, 2/9, 1, 16
Solve 2*h**5/5 - 108*h**4/5 + 1558*h**3/5 - 2596*h**2/5 - 312*h + 2704/5 = 0.
-1, 1, 2, 26
Suppose -4*d**3 - 1092*d**2 + 2196*d - 1100 = 0. What is d?
-275, 1
Determine n so that -n**3/3 + 11*n**2/6 - 17*n/6 + 1 = 0.
1/2, 2, 3
Factor 365*r**2 + 5465*r - 150.
5*(r + 15)*(73*r - 2)
Factor w**4 - 6*w**3 + 11*w**2 - 6*w.
w*(w - 3)*(w - 2)*(w - 1)
Factor 6*i**3 - 202*i**2 + 386*i - 190.
2*(i - 1)**2*(3*i - 95)
Factor 5*u**4 + 400*u**3 + 11510*u**2 + 140400*u + 616005.
5*(u + 13)**2*(u + 27)**2
Determine x so that -3*x**4 - 9*x**3 + 9*x**2 + 33*x + 18 = 0.
-3, -1, 2
Factor -2*v**2 - 22*v + 952.
-2*(v - 17)*(v + 28)
Factor -s**2 + 778*s - 151321.
-(s - 389)**2
Factor 2*j**2/5 - 8/5.
2*(j - 2)*(j + 2)/5
Factor -4*z**4 - 36*z**3 + 84*z**2 - 44*z.
-4*z*(z - 1)**2*(z + 11)
What is m in -2*m**3/9 - 82*m**2/3 - 3362*m/3 - 137842/9 = 0?
-41
Factor -5*b**3/4 - 5*b**2 + 35*b - 40.
-5*(b - 2)**2*(b + 8)/4
Let -4*i**3 - 284*i**2 + 288*i = 0. Calculate i.
-72, 0, 1
Find s, given that -7*s**5/6 - 131*s**4/6 - 296*s**3/3 - 484*s**2/3 - 200*s/3 + 104/3 = 0.
-13, -2, 2/7
Suppose 3*p**2 - 1110*p + 1107 = 0. Calculate p.
1, 369
Solve 5*o**2 + 1000*o + 995 = 0.
-199, -1
Let -2*q**5/7 - 40*q**4/7 + 4*q**3/7 + 80*q**2/7 - 2*q/7 - 40/7 = 0. What is q?
-20, -1, 1
Factor -4*k**3 - 108*k**2 - 780*k - 676.
-4*(k + 1)*(k + 13)**2
Factor -2*k**2 - 38*k - 96.
-2*(k + 3)*(k + 16)
Factor 2*n**3/11 + 208*n**2 - 4582*n/11 + 2292/11.
2*(n - 1)**2*(n + 1146)/11
Factor -2*c**2/13 + 192*c/13 + 194/13.
-2*(c - 97)*(c + 1)/13
Factor -2*r**4 + 102*r**2 - 196*r + 96.
-2*(r - 6)*(r - 1)**2*(r + 8)
Suppose 2*z**4/7 - 2*z**3/7 - 4*z**2/7 = 0. Calculate z.
-1, 0, 2
Factor -4*c**2 + 2312*c - 2308.
-4*(c - 577)*(c - 1)
Factor 2*r**3 - 108*r**2 + 1218*r + 6728.
2*(r - 29)**2*(r + 4)
Solve -l**5/2 + 2*l**4 + 25*l**3/2 - 8*l**2 - 42*l = 0 for l.
-3, -2, 0, 2, 7
Factor -8*a**3 + 268*a**2 - 1428*a + 648.
-4*(a - 27)*(a - 6)*(2*a - 1)
Factor w**3 - 13*w**2 - 29*w - 15.
(w - 15)*(w + 1)**2
What is h in -h**3 + 16*h**2 + 512*h = 0?
-16, 0, 32
Solve -6*b**3 - 46*b**2 + 406*b - 130 = 0.
-13, 1/3, 5
Solve 3*q**5/5 - 84*q**4/5 - 7488*q**3/5 - 133392*q**2/5 - 830256*q/5 - 1185408/5 = 0 for q.
-14, -2, 72
Factor -3*n**4/7 - 12*n**3/7 - 12*n**2/7.
-3*n**2*(n + 2)**2/7
Solve -20*b**4 + 105*b**3 - 145*b**2 + 30*b = 0 for b.
0, 1/4, 2, 3
Factor a**4 + 20*a**3 - 51*a**2 - 158*a - 88.
(a - 4)*(a + 1)**2*(a + 22)
Find c such that -2*c**5/11 - 10*c**4/11 - 14*c**3/11 - 6*c**2/11 = 0.
-3, -1, 0
Factor -2*j**4/5 + 16*j**3/5 + 26*j**2 - 1008*j/5.
-2*j*(j - 9)*(j - 7)*(j + 8)/5
What is p in -2*p**5/11 - 34*p**4/11 - 36*p**3/11 + 908*p**2/11 - 142*p + 66 = 0?
-11, 1, 3
Factor -5*z**4 - 105*z**3 - 395*z**2 + 2805*z + 12100.
-5*(z - 5)*(z + 4)*(z + 11)**2
Factor -2*p**5/15 + 14*p**4/3 - 122*p**3/5 + 174*p**2/5.
-2*p**2*(p - 29)*(p - 3)**2/15
Factor 2*g**2/21 + 1116*g + 3269322.
2*(g + 5859)**2/21
Factor -2*i**4/7 + 10*i**3/7 - 12*i**2/7.
-2*i**2*(i - 3)*(i - 2)/7
Let 3*z**2/8 + 255*z/8 - 129/4 = 0. Calculate z.
-86, 1
Factor -5*a**2 + 670*a - 22445.
-5*(a - 67)**2
Solve -3*v**4 = 0.
0
Factor z**5 + 11*z**4 + 33*z**3 + 37*z**2 + 14*z.
z*(z + 1)**2*(z + 2)*(z + 7)
Factor -v**5 - 5*v**4 - 2*v**3 + 8*v**2.
-v**2*(v - 1)*(v + 2)*(v + 4)
Factor 3*g**4 - 6*g**3 - 243*g**2 + 486*g.
3*g*(g - 9)*(g - 2)*(g + 9)
Find b such that 5*b**4 - 25*b**3 - 465*b**2 + 1485*b = 0.
-9, 0, 3, 11
Factor 6*a**2 - 351*a + 174.
3*(a - 58)*(2*a - 1)
Find r such that 5*r**2 - 710*r + 25205 = 0.
71
Find d, given that -3*d**4 + 144*d**3 - 981*d**2 - 20328*d + 21168 = 0.
-9, 1, 28
Factor -5*q**5 + 2160*q**4 - 233280*q**3.
-5*q**3*(q - 216)**2
Solve -4*v**5/3 + 9*v**4 - 23*v**3/3 = 0 for v.
0, 1, 23/4
Suppose 2*i**3 - 38*i**2 - 40*i = 0. Calculate i.
-1, 0, 20
Solve 2*y**5/13 + 38*y**4/13 + 198*y**3/13 + 162*y**2/13 = 0 for y.
-9, -1, 0
What is s in -3*s**2/7 - 33*s/7 - 54/7 = 0?
-9, -2
Factor -w**2 + 2410*w - 1452025.
-(w - 1205)**2
Determine p, given that 2*p**3/5 - 12*p**2/5 + 18*p/5 = 0.
0, 3
Solve 35*s**5 + 1885*s**4 + 1585*s**3 - 265*s**2 = 0.
-53, -1, 0, 1/7
Factor 4*c**5 + 168*c**4 + 320*c**3 - 8*c**2 - 324*c - 160.
4*(c - 1)*(c + 1)**3*(c + 40)
Factor 2*b**3/7 - 16*b**2/7 - 2*b/7 + 16/7.
2*(b - 8)*(b - 1)*(b + 1)/7
Factor 4*o**2 - 44*o - 104.
4*(o - 13)*(o + 2)
Let 2*i**5 - 12*i**4 + 14*i**3 + 12*i**2 - 16*i = 0. What is i?
-1, 0, 1, 2, 4
Factor 20*p**3 + 1375*p**2 + 7215*p - 1890.
5*(p + 6)*(p + 63)*(4*p - 1)
What is v in 3*v**3 - 30942*v**2 + 79783947*v = 0?
0, 5157
Factor -3*h**2 + 51*h.
-3*h*(h - 17)
Find t, given that 3*t**3 - 108*t**2 + 855*t + 2166 = 0.
-2, 19
Find y, given that -5*y**4 + 34*y**3 - 81*y**2 + 80*y - 28 = 0.
1, 2, 14/5
Suppose j**3 - 3*j**2 - j + 3 = 0. Calculate j.
-1, 1, 3
Factor -40*a**4 + 75*a**3 + 10*a**2.
-5*a**2*(a - 2)*(8*a + 1)
Solve 5*s**2 - 310*s - 315 = 0.
-1, 63
Let -n**4 - 38*n**3 + n**2 + 38*n = 0. What is n?
-38, -1, 0, 1
Factor -12*m**3 + 152*m**2 - 96*m.
-4*m*(m - 12)*(3*m - 2)
Factor -2*m**3/9 + 178*m**2/9 - 982*m/9 - 1162/9.
-2*(m - 83)*(m - 7)*(m + 1)/9
Suppose 124*i**2 + 8*i = 0. What is i?
-2/31, 0
Determine b, given that -5*b**2/3 - 40970*b/3 - 83927045/3 = 0.
-4097
Factor -4*f**2 + 412*f + 12192.
-4*(f - 127)*(f + 24)
Factor -p**4/8 + 17