, given that -5*b**5/2 + 190*b**4 - 1070*b**3 + 1385*b**2 + 2145*b/2 - 1575 = 0.
-1, 1, 3, 70
Find z such that 12*z**4 - 10503*z**3 + 2304741*z**2 - 2867157*z + 572907 = 0.
1/4, 1, 437
Factor -3*o**3/2 + 3*o**2.
-3*o**2*(o - 2)/2
Factor -t**5 + 15*t**4 + 72*t**3 - 1296*t**2.
-t**2*(t - 12)**2*(t + 9)
Suppose 400*b**4 + 3480*b**3 - 1815*b**2 + 230*b = 0. What is b?
-46/5, 0, 1/4
Determine z so that 13824*z**5 + 95040*z**4 + 153864*z**3 - 20233*z**2 + 857*z - 12 = 0.
-4, -3, 1/24
Factor 138*s**3 - 1510*s**2 + 1292*s + 80.
2*(s - 10)*(s - 1)*(69*s + 4)
Find y such that 4*y**4 - 888*y**3 + 50148*y**2 - 94160*y - 145200 = 0.
-1, 3, 110
Suppose -3*y**5 - 15*y**4 + 159*y**3 + 39*y**2 - 480*y + 300 = 0. Calculate y.
-10, -2, 1, 5
Factor -6*g**2/5 - 48*g/5.
-6*g*(g + 8)/5
Factor 2*f**2/17 - 62*f/17 - 64/17.
2*(f - 32)*(f + 1)/17
Factor -p**5/7 + 71*p**4/7 - 240*p**3 + 10400*p**2/7 + 128000*p/7 - 1440000/7.
-(p - 20)**4*(p + 9)/7
Suppose -4*n**5 + 64*n**4 - 372*n**3 + 936*n**2 - 864*n = 0. What is n?
0, 3, 4, 6
What is o in 3*o**3 + 1155*o**2 - 2331*o - 3483 = 0?
-387, -1, 3
Let s**3/2 - 8*s**2 - 35*s/2 - 9 = 0. Calculate s.
-1, 18
Suppose -11*r**4/5 - 27*r**3/5 + 18*r**2/5 + 44*r/5 - 24/5 = 0. What is r?
-2, 6/11, 1
Determine l so that 2*l**5 + 8*l**4 + 8*l**3 - 4*l**2 - 10*l - 4 = 0.
-2, -1, 1
Suppose -12*m**3 - 1287*m**2 + 972*m = 0. Calculate m.
-108, 0, 3/4
Suppose m**3/4 + m**2 - 7*m/4 - 5/2 = 0. Calculate m.
-5, -1, 2
Factor -a**3/5 - 226*a**2 - 1129*a/5.
-a*(a + 1)*(a + 1129)/5
Factor -4*q**5/3 + 284*q**4/3.
-4*q**4*(q - 71)/3
Factor 2*u**3/11 + 182*u**2/11 - 752*u/11 + 760/11.
2*(u - 2)**2*(u + 95)/11
Find q, given that -2*q**5/11 - 34*q**4/11 + 468*q**3/11 - 1832*q**2/11 + 2960*q/11 - 1728/11 = 0.
-27, 2, 4
Suppose 2*m**4/3 - 32*m**3/3 + 30*m**2 + 108*m = 0. Calculate m.
-2, 0, 9
Find l such that -l**5 + 107*l**4/3 - 177*l**3 + 211*l**2 - 86*l/3 - 40 = 0.
-1/3, 1, 4, 30
Factor -2*b**3/3 - 4*b**2/3 + 208*b/3 - 128.
-2*(b - 8)*(b - 2)*(b + 12)/3
Let -5*u**3 - 545*u**2 - 16575*u - 91035 = 0. Calculate u.
-51, -7
Factor -3*z**4/2 + 27*z**3 + 324*z**2 + 1053*z + 2187/2.
-3*(z - 27)*(z + 3)**3/2
Factor 2*f**5/11 - 1522*f**4/11 + 291836*f**3/11 - 866396*f**2/11 + 863362*f/11 - 287282/11.
2*(f - 379)**2*(f - 1)**3/11
Solve 2*r**2 - 18*r - 44 = 0.
-2, 11
Factor -3*j**2/7 + 27*j/7 + 66/7.
-3*(j - 11)*(j + 2)/7
Factor -2*i**3/7 + 48*i**2/7 + 102*i/7 + 52/7.
-2*(i - 26)*(i + 1)**2/7
Factor -4*t**5 + 80*t**4 + 264*t**3 + 272*t**2 + 92*t.
-4*t*(t - 23)*(t + 1)**3
Find v such that -3*v**5/4 + 3*v**4 + 3*v**3/2 - 6*v**2 - 3*v/4 + 3 = 0.
-1, 1, 4
Determine d so that 2*d**4/5 + 4*d**3 + 58*d**2/5 + 64*d/5 + 24/5 = 0.
-6, -2, -1
Factor -2*k**2/7 - 6*k/7 + 36/7.
-2*(k - 3)*(k + 6)/7
Suppose 5*b**3 - 75*b**2 - 360*b - 380 = 0. Calculate b.
-2, 19
Find w such that 2*w**4/15 - 22*w**3/3 + 172*w**2/5 - 808*w/15 + 80/3 = 0.
1, 2, 50
Solve -5*n**5 - 15*n**4 + 10*n**3 + 60*n**2 + 40*n = 0.
-2, -1, 0, 2
What is y in 722*y**4 + 1520*y**3 + 154*y**2 + 4*y = 0?
-2, -1/19, 0
Suppose -4*g**5 - 16*g**4 + 12*g**3 + 40*g**2 - 32*g = 0. What is g?
-4, -2, 0, 1
Factor -s**2 + 50*s - 625.
-(s - 25)**2
Find b such that 6*b**5/13 - 10*b**4/13 - 82*b**3/13 - 86*b**2/13 - 20*b/13 = 0.
-2, -1, -1/3, 0, 5
Find b such that b**3/6 - 65*b**2 + 8450*b - 1098500/3 = 0.
130
Factor -12*o**3 + 10928*o**2 + 3644*o.
-4*o*(o - 911)*(3*o + 1)
Solve -2*b**5 - 16*b**4 + 2*b**3 + 136*b**2 + 168*b = 0.
-7, -2, 0, 3
Determine v so that -18*v**5/7 - 40*v**4/7 - 8*v**3/7 + 36*v**2/7 + 26*v/7 + 4/7 = 0.
-1, -2/9, 1
Factor 3*m**2/5 - 15*m - 1482/5.
3*(m - 38)*(m + 13)/5
Factor 4*z**5 + 960*z**4 + 76800*z**3 + 2048000*z**2.
4*z**2*(z + 80)**3
Determine d, given that -196*d**3 + 4004*d**2 - 1688*d + 160 = 0.
1/7, 2/7, 20
Factor -4*k**3/5 + 24*k**2/5 + 20*k - 120.
-4*(k - 6)*(k - 5)*(k + 5)/5
Determine i, given that 2*i**4/13 - 20*i**3/13 - 32*i**2/13 + 116*i/13 - 66/13 = 0.
-3, 1, 11
Let j**4 - 11*j**3 - 11*j**2 + 255*j - 450 = 0. Calculate j.
-5, 3, 10
Factor 2*t**2/19 - 270*t/19 - 548/19.
2*(t - 137)*(t + 2)/19
Find r such that 5*r**2 + 115*r + 210 = 0.
-21, -2
Find n such that -10*n**3 + 61*n**2 - 29*n - 22 = 0.
-2/5, 1, 11/2
Determine h so that 2*h**3/9 - 14*h**2/9 + 28*h/9 - 16/9 = 0.
1, 2, 4
Let -2*j**4/9 - 10*j**3/3 - 124*j**2/9 - 32*j/3 = 0. Calculate j.
-8, -6, -1, 0
Let 3*a**5/2 + 45*a**4 + 321*a**3 + 828*a**2 + 1731*a/2 + 315 = 0. Calculate a.
-21, -5, -2, -1
Solve -5*l**4 + 80*l**3 - 50*l**2 - 360*l - 225 = 0.
-1, 3, 15
Let -2*g**4/3 + 76*g**3/3 - 312*g**2 + 3380*g/3 + 4394/3 = 0. What is g?
-1, 13
Factor d**5/4 - d**3/4.
d**3*(d - 1)*(d + 1)/4
Factor 3*t**4/7 - 24*t**3/7 + 33*t**2/7 + 60*t/7.
3*t*(t - 5)*(t - 4)*(t + 1)/7
What is x in 2*x**3 - 84*x**2 + 490*x = 0?
0, 7, 35
Suppose -u**4 + 12*u**3 - 12*u**2 - 80*u = 0. What is u?
-2, 0, 4, 10
Factor -3*w**2 - 405*w.
-3*w*(w + 135)
Solve u**2/9 - 10*u/9 + 16/9 = 0.
2, 8
Suppose 4*m**3 + 112*m**2 - 364*m + 248 = 0. Calculate m.
-31, 1, 2
Determine s so that -3*s**4/5 - 9*s**3/5 - 6*s**2/5 = 0.
-2, -1, 0
Determine i, given that -10*i**4 + 244*i**3/3 - 542*i**2/3 + 368*i/3 - 40/3 = 0.
2/15, 1, 2, 5
Find i such that -2*i**4/15 + 24*i**3/5 + 162*i**2/5 + 252*i/5 = 0.
-3, 0, 42
Suppose 3*f**4 - 12*f**3 - 81*f**2 + 162*f + 648 = 0. What is f?
-3, 4, 6
Factor 2*x**2/5 + 8*x/5 - 2.
2*(x - 1)*(x + 5)/5
Determine i so that 3*i**2 - 375*i + 372 = 0.
1, 124
Find g, given that g**2/3 - 28*g/3 - 29/3 = 0.
-1, 29
Determine x so that -3*x**5 + 54*x**4 - 195*x**3 = 0.
0, 5, 13
Factor -c**3/3 - 26*c**2/3 + 55*c/3 - 28/3.
-(c - 1)**2*(c + 28)/3
Factor -5*m**4 - 10*m**3 + 20*m**2 + 10*m - 15.
-5*(m - 1)**2*(m + 1)*(m + 3)
Suppose 10*k**4/9 - 28*k**3/3 + 82*k**2/9 + 40*k/3 - 56/9 = 0. Calculate k.
-1, 2/5, 2, 7
Determine q so that 294*q**5 + 910*q**4 + 192*q**3 - 752*q**2 + 288*q - 32 = 0.
-2, 2/7, 1/3
Suppose -10*g**5/7 - 22*g**4 - 410*g**3/7 + 1810*g**2/7 + 420*g + 864/7 = 0. What is g?
-9, -8, -1, -2/5, 3
Factor -2*p**3 - 14*p**2.
-2*p**2*(p + 7)
Factor 3*v**3/7 + 57*v**2/7 + 297*v/7 + 243/7.
3*(v + 1)*(v + 9)**2/7
Suppose r**2 - 24*r = 0. What is r?
0, 24
Suppose -x**4/4 + 19*x**3/4 + 5*x**2 = 0. Calculate x.
-1, 0, 20
Determine r so that 3*r**4/5 - 54*r**3/5 + 252*r**2/5 + 294*r/5 - 3087/5 = 0.
-3, 7
Factor 6*l**3 - 7*l**2 + 1.
(l - 1)*(2*l - 1)*(3*l + 1)
Find c, given that -4*c**5 - 24*c**4 - 44*c**3 - 8*c**2 + 48*c + 32 = 0.
-2, -1, 1
Solve 2*h**4/7 + 52*h**3/7 + 384*h**2/7 + 576*h/7 = 0 for h.
-12, -2, 0
Determine m so that 2*m**5 - 18*m**4 - 170*m**3 + 850*m**2 + 6000*m + 5000 = 0.
-5, -1, 10
Factor 75*s**3 + 69*s**2 - 6*s.
3*s*(s + 1)*(25*s - 2)
Factor -h**3/6 + 11*h**2/2 - 57*h/2 + 81/2.
-(h - 27)*(h - 3)**2/6
Solve 2*r**5 - 8*r**4 - 2*r**3 + 32*r**2 - 24*r = 0 for r.
-2, 0, 1, 2, 3
Find g such that -g**2/2 + 91*g + 555/2 = 0.
-3, 185
What is g in 2*g**2/3 + 8*g/3 - 64/3 = 0?
-8, 4
Suppose -n**3 - 342*n**2 - 30240*n - 169344 = 0. What is n?
-168, -6
Let 2*g**5/7 - 2*g**4/7 - 2*g**3/7 + 2*g**2/7 = 0. Calculate g.
-1, 0, 1
Factor -i**5 - 79*i**4 + 85*i**3 + 403*i**2 + 240*i.
-i*(i - 3)*(i + 1)**2*(i + 80)
Determine i so that -2*i**3 - 116*i**2 - 1258*i - 1144 = 0.
-44, -13, -1
Solve -2*z**5/5 - 54*z**4/5 - 334*z**3/5 + 446*z**2/5 + 336*z/5 - 392/5 = 0 for z.
-14, -1, 1
Factor -w**3/10 - 57*w**2/2 + 287*w/5.
-w*(w - 2)*(w + 287)/10
Let 2*n**3/5 + 54*n**2/5 + 352*n/5 = 0. Calculate n.
-16, -11, 0
Solve 2*q**5/13 - 6*q**4/13 - 30*q**3/13 - 34*q**2/13 - 12*q/13 = 0.
-1, 0, 6
Let 25*x**3 - 80*x**2 - 125*x + 180 = 0. What is x?
-9/5, 1, 4
Factor -2*w**3 - 2*w**2 + 18*w + 18.
-2*(w - 3)*(w + 1)*(w + 3)
What is t in 12*t**5 + 28*t**4 - 852*t**3 - 3324*t**2 - 440*t + 2016 = 0?
-7, -4, -1, 2/3, 9
Determine r so that -4*r**4 + 42980*r**3 - 153968676*r**2 + 183992453228*r - 367369375528 = 0.
2, 3581
Factor 3*w**4 + 414*w**3 - 837*w**2 + 420*w.
3*w*(w - 1)**2*(w + 140)
Solve -10*z**2 + 92*z - 18 = 0.
1/5, 9
Factor 25*m**3/2 - 135*m**2/2 - 44*m - 6.
(m - 6)*(5*m + 1)*(5*m + 2)/2
Factor 4*d**2 - 284*d - 1200.
4*(d - 75)*(d + 4)
Suppose -429*p**2/2 + p/2 = 0. Calculate p.
0, 1/429
Solve -26*q**4 - 154*q**3 - 66*q**2 + 266*q - 20 = 0.
-5, -2, 1/13, 1
Let 28*y**4 + 1632*y**3 + 16844*y**2 + 4680*y = 0. Calculate y.
-45, -13, -2/7, 0
Factor 4*m**2/5 - 112*m/5 - 48.
4*(m - 30)*