Factor -6*r**3 + 213*r**2 - 207*r.
-3*r*(r - 1)*(2*r - 69)
Determine k, given that -3*k**5 - 18*k**4 - 18*k**3 + 60*k**2 + 117*k + 54 = 0.
-3, -1, 2
Factor -q**2/10 + 186*q/5 + 374/5.
-(q - 374)*(q + 2)/10
Find u such that 10*u**3/7 - 104*u**2/7 - 10*u + 44/7 = 0.
-1, 2/5, 11
Factor j**4/5 + 3*j**3/5 - 9*j**2/5 - 27*j/5.
j*(j - 3)*(j + 3)**2/5
Let b**4/3 - 8*b**3/3 + 5*b**2/3 + 38*b/3 + 8 = 0. Calculate b.
-1, 4, 6
Suppose s**2/4 - 6*s + 36 = 0. Calculate s.
12
What is b in 4*b**5 + 4*b**4 - 36*b**3 + 44*b**2 - 16*b = 0?
-4, 0, 1
Solve -v**3/8 + 1607*v**2/4 - 2582449*v/8 = 0 for v.
0, 1607
Factor 6*q**3/7 - 6*q**2/7 - 936*q/7.
6*q*(q - 13)*(q + 12)/7
Let 11163*n**5 + 25803*n**4 + 11754*n**3 - 7926*n**2 - 3717*n + 1323 = 0. What is n?
-1, 21/61
Find p such that -50*p**4/13 + 870*p**3/13 - 3642*p**2/13 + 1354*p/13 - 132/13 = 0.
1/5, 6, 11
Factor -2*p**2 - 872*p - 95048.
-2*(p + 218)**2
Let 5*u**3 - 2445*u**2 + 297675*u + 300125 = 0. What is u?
-1, 245
Let -3*j**4 + 33*j**3/2 + 9*j**2 = 0. Calculate j.
-1/2, 0, 6
Factor y**2/2 + 1716*y + 3430.
(y + 2)*(y + 3430)/2
Factor -5*u**2 - 55*u + 210.
-5*(u - 3)*(u + 14)
Factor -3*t**2 - 99*t - 546.
-3*(t + 7)*(t + 26)
Suppose -2*o**2/3 - 184*o/3 + 1600/3 = 0. What is o?
-100, 8
Find n such that -2*n**2 - 200*n = 0.
-100, 0
Find h, given that -3*h**2 + 5580*h - 2594700 = 0.
930
Determine b, given that -2*b**3/9 - 40*b**2/9 + 374*b/9 + 8092/9 = 0.
-17, 14
Factor b**2/3 - 5612*b/3 + 7873636/3.
(b - 2806)**2/3
Factor -9*l**3/5 + 3*l**2/5 + 21*l/5 - 3.
-3*(l - 1)**2*(3*l + 5)/5
Determine s so that 5*s**5 - 305*s**4 + 570*s**3 + 1190*s**2 - 575*s - 885 = 0.
-1, 1, 3, 59
Find u such that -5*u**5 + 80*u**4 + 385*u**3 + 300*u**2 = 0.
-3, -1, 0, 20
Factor -3*x**5/7 + 531*x**4/7 + 1611*x**3/7 + 231*x**2 + 540*x/7.
-3*x*(x - 180)*(x + 1)**3/7
Determine x so that 3*x**4 - 744*x**3 - 5322*x**2 - 8400*x - 3825 = 0.
-5, -1, 255
Factor 2*f**3 + 14*f**2 + 32*f + 24.
2*(f + 2)**2*(f + 3)
What is c in -c**3/3 + 3*c**2 - 23*c/3 + 5 = 0?
1, 3, 5
Solve f**5/5 - 19*f**4/5 + 7*f**3 - 17*f**2/5 = 0.
0, 1, 17
Factor 2*g**3/9 - 40*g**2 + 2400*g - 48000.
2*(g - 60)**3/9
Factor -3*y**2/4 + 123*y/4 - 585/2.
-3*(y - 26)*(y - 15)/4
Solve -9*r**3/7 + 160*r**2/7 - 117*r/7 - 34/7 = 0.
-2/9, 1, 17
Find s, given that -2*s**3/7 + 40*s**2/7 - 94*s/7 - 136/7 = 0.
-1, 4, 17
Factor 12*b**5 + 93*b**4 + 279*b**3 + 402*b**2 + 276*b + 72.
3*(b + 1)*(b + 2)**3*(4*b + 3)
Let -n**2/4 - 3*n = 0. Calculate n.
-12, 0
Suppose -c**2/4 - 405*c/2 + 811/4 = 0. What is c?
-811, 1
Find i such that 4*i**5 + 440*i**4 + 2128*i**3 + 2952*i**2 + 1260*i = 0.
-105, -3, -1, 0
Let 4*s**3 + 92*s**2 - 420*s + 324 = 0. Calculate s.
-27, 1, 3
Factor 2*h**4/3 + 14*h**3/3 + 14*h**2/3 - 10*h.
2*h*(h - 1)*(h + 3)*(h + 5)/3
Suppose 2*f**4 + 11*f**3 + 19*f**2 + 13*f + 3 = 0. Calculate f.
-3, -1, -1/2
Find t such that 8*t**5 - 116*t**4 + 224*t**3 + 204*t**2 - 144*t = 0.
-1, 0, 1/2, 3, 12
Determine o, given that 2*o**2/13 - 2828*o/13 = 0.
0, 1414
Suppose 65*m**5 + 323*m**4 - 10*m**3 - 1300*m**2 - 1000*m + 32 = 0. What is m?
-4, -2, -1, 2/65, 2
Let -605*c**3/4 - 935*c**2/4 - 375*c/4 - 45/4 = 0. What is c?
-1, -3/11
Determine t so that -4*t**2/5 + 496*t/5 + 1008/5 = 0.
-2, 126
Determine x so that 5*x**3 + 50*x**2 - 5*x - 50 = 0.
-10, -1, 1
Find r, given that -2*r**2/11 + 6*r/11 = 0.
0, 3
Factor -j**2/4 - 45*j/4 - 99.
-(j + 12)*(j + 33)/4
Factor -169*j**3/3 + 2665*j**2 - 816*j + 188/3.
-(j - 47)*(13*j - 2)**2/3
Factor n**4 + 16*n**3 + 63*n**2 + 92*n + 44.
(n + 1)*(n + 2)**2*(n + 11)
Let -3*r**2/5 - 18*r + 192/5 = 0. Calculate r.
-32, 2
Factor -4*d**2/3 - 38*d + 58/3.
-2*(d + 29)*(2*d - 1)/3
Factor -405*j**4 + 189720*j**3 - 22260440*j**2 + 9865440*j - 1095120.
-5*(j - 234)**2*(9*j - 2)**2
Find k such that k**4/3 + k**3/3 - 5*k**2/3 + k = 0.
-3, 0, 1
Factor 2*d**5/3 + 34*d**4/3 + 48*d**3 - 256*d**2/3 - 2816*d/3 - 1536.
2*(d - 4)*(d + 4)**3*(d + 9)/3
Suppose 20*v**2/7 - 68*v/7 + 24/7 = 0. Calculate v.
2/5, 3
Let 4*o**5 - 224*o**4 + 2404*o**3 + 20120*o**2 + 44144*o + 30752 = 0. What is o?
-2, 31
Find v, given that -3*v**4 - 15*v**3 - 27*v**2 - 21*v - 6 = 0.
-2, -1
Let 2*f**2 + 286*f + 564 = 0. Calculate f.
-141, -2
Determine z, given that -z**3/7 - 13*z**2/7 - 32*z/7 - 20/7 = 0.
-10, -2, -1
Factor -2*z**3/3 + 10*z**2/3.
-2*z**2*(z - 5)/3
Determine l so that -2*l**5/3 - 52*l**4/3 - 76*l**3/3 + 3232*l**2/3 - 3638*l + 3468 = 0.
-17, 2, 3
Factor 14*s**3 - 158*s**2 - 2084*s + 608.
2*(s - 19)*(s + 8)*(7*s - 2)
Determine o so that 4*o**4 - 4*o**3 - 16*o**2 + 16*o = 0.
-2, 0, 1, 2
What is a in -4*a**4 + 196*a**3 + 12*a**2 - 596*a + 392 = 0?
-2, 1, 49
Factor -3*v**2/4 - 3033*v/4 + 3039/2.
-3*(v - 2)*(v + 1013)/4
Factor 2*z**3/5 - 64*z**2/5 + 512*z/5.
2*z*(z - 16)**2/5
Factor 4*t**2 + 5476*t.
4*t*(t + 1369)
Determine u, given that 2*u**5 + 1172*u**4 - 4708*u**3 + 7072*u**2 - 4718*u + 1180 = 0.
-590, 1
Factor 5*z**3 - 10*z**2 - 5*z + 10.
5*(z - 2)*(z - 1)*(z + 1)
Let 2*u**4 + 34*u**3 - 258*u**2 + 406*u - 184 = 0. Calculate u.
-23, 1, 4
Suppose -d**3 - 6*d**2 - 9*d = 0. What is d?
-3, 0
Factor -26*t**3 + 134*t**2/5 - 4*t/5.
-2*t*(t - 1)*(65*t - 2)/5
Factor 2*h**3/11 - 20*h**2/11 + 24*h/11 + 144/11.
2*(h - 6)**2*(h + 2)/11
Factor -2*v**3/15 + 14*v**2/5 - 96*v/5 + 128/3.
-2*(v - 8)**2*(v - 5)/15
Factor u**4 + 259*u**3 + 257*u**2 - 259*u - 258.
(u - 1)*(u + 1)**2*(u + 258)
Let 2*j**5/7 + 2*j**4 + 30*j**3/7 + 10*j**2/7 - 32*j/7 - 24/7 = 0. Calculate j.
-3, -2, -1, 1
Factor -w**4/5 - 13*w**3/5 - 33*w**2/5 + 77*w/5 + 98/5.
-(w - 2)*(w + 1)*(w + 7)**2/5
What is n in n**3/4 + 29*n**2/4 + 7*n = 0?
-28, -1, 0
Factor -r**5 - 6*r**4 - 12*r**3 - 8*r**2.
-r**2*(r + 2)**3
Determine g so that -4*g**3 + 52*g**2 - 144*g = 0.
0, 4, 9
Factor -16*q**3 - 228*q**2 + 456*q + 128.
-4*(q - 2)*(q + 16)*(4*q + 1)
Factor 3*h**2/7 + 36*h/7 + 96/7.
3*(h + 4)*(h + 8)/7
Factor 2*c**3 + 66*c**2 + 414*c + 350.
2*(c + 1)*(c + 7)*(c + 25)
Determine h, given that 11*h**5/8 - 13*h**4/2 + 49*h**3/4 - 23*h**2/2 + 43*h/8 - 1 = 0.
8/11, 1
Factor -2*y**4 + 8*y**3 - 4*y**2 - 8*y + 6.
-2*(y - 3)*(y - 1)**2*(y + 1)
Factor -2*w**5/11 - 14*w**4/11 - 38*w**3/11 - 50*w**2/11 - 32*w/11 - 8/11.
-2*(w + 1)**3*(w + 2)**2/11
Determine m, given that 3*m**4/5 - 831*m**3/5 + 77004*m**2/5 - 482448*m + 2336064/5 = 0.
1, 92
Find k, given that -21*k**3 + 40*k**2 - 17*k - 2 = 0.
-2/21, 1
Factor 20*r**4 + 108*r**3 + 200*r**2 + 144*r + 32.
4*(r + 1)*(r + 2)**2*(5*r + 2)
Solve -3*v**3 - 3*v**2 + 75*v + 75 = 0.
-5, -1, 5
Factor l**3 - 5*l**2 - 112*l + 704.
(l - 8)**2*(l + 11)
Factor a**2/3 - 69*a - 210.
(a - 210)*(a + 3)/3
Factor -2*t**3/5 + 16*t**2/15 - 8*t/15.
-2*t*(t - 2)*(3*t - 2)/15
Let -2*h**2/3 + 68*h - 384 = 0. What is h?
6, 96
Solve -2*z**3/5 + 26*z**2/5 + 58*z/5 + 6 = 0 for z.
-1, 15
Factor -18*h**2 - 104*h + 154.
-2*(h + 7)*(9*h - 11)
Factor 2*l**2/13 - 360*l/13 + 16200/13.
2*(l - 90)**2/13
Let -2*v**3 - 16*v**2 + 10*v + 168 = 0. Calculate v.
-7, -4, 3
Suppose 2*c**5/3 - 6*c**4/7 - 274*c**3/7 - 1318*c**2/21 - 104*c/7 + 72/7 = 0. Calculate c.
-6, -1, 2/7, 9
Factor -6*b**2/11 - 214*b + 1572/11.
-2*(b + 393)*(3*b - 2)/11
Suppose b**4/5 - 28*b**3/5 + 54*b**2 - 972*b/5 + 729/5 = 0. What is b?
1, 9
Factor -5*j**2/3 - 115*j/3.
-5*j*(j + 23)/3
Factor -4*y**2 - 108*y + 360.
-4*(y - 3)*(y + 30)
Let -14*s**2 - 438*s = 0. What is s?
-219/7, 0
Factor -5*u**4/4 + 15*u**3/4 + 45*u**2/4 + 25*u/4.
-5*u*(u - 5)*(u + 1)**2/4
Factor -2*c**2/13 + 6*c + 80/13.
-2*(c - 40)*(c + 1)/13
Solve -21*t**2 - 33*t - 12 = 0 for t.
-1, -4/7
Solve -2*a**3/3 + 8*a**2/3 + 10*a/3 = 0.
-1, 0, 5
Suppose -2*n**5 + 6*n**4 + 4*n**3 - 12*n**2 - 2*n + 6 = 0. Calculate n.
-1, 1, 3
Factor 2*k**2 - 2064*k + 532512.
2*(k - 516)**2
Find m such that 6*m**3/5 + 318*m**2/5 + 312*m/5 = 0.
-52, -1, 0
Find n, given that 3*n**3/2 + 42*n**2 + 78*n = 0.
-26, -2, 0
What is q in 2*q**3 + 22*q**2 + 78*q + 90 = 0?
-5, -3
Suppose -d**3 + 3*d**2 + 61*d - 63 = 0. Calculate d.
-7, 1, 9
Factor -4*j**4 + 48*j**3 + 2688*j**2 + 25600*j + 73728.
-4*(j - 36)*(j + 8)**3
Factor -3*f**5 + 6*f**4 - 6*f**2 + 3*f.
-3*f*(f - 1)**3*(f + 1)
Factor -o**5/4 + 113*o**4/2 - 9519*o**3/2 + 175446*o**2 - 9074457*o/4 - 10556001/2.
-(o - 57)**4*(o + 2)/4
Suppose 4*g**3 - 1072*g**2 + 72884*g - 141512 = 0. What is g?
2, 133
Factor -16*z**3 - 4*