-2*b**4/3 - 124*b**3/3 - 598*b**2 + 3968*b/3 - 2048/3 = 0. What is b?
-32, 1
Factor -2*m**2/17 - 52*m/17 - 50/17.
-2*(m + 1)*(m + 25)/17
Suppose q**4/7 - q**3/7 - 2*q**2/7 = 0. Calculate q.
-1, 0, 2
Let 5*l**2 - 2430*l - 7335 = 0. What is l?
-3, 489
Factor -4*q**4/5 - 24*q**3/5 + 28*q**2/5.
-4*q**2*(q - 1)*(q + 7)/5
Solve -g**5 + 13*g**4 + 199*g**3 - 673*g**2 + 462*g = 0 for g.
-11, 0, 1, 2, 21
Factor 36*m**3 - 604*m**2 + 440*m + 128.
4*(m - 16)*(m - 1)*(9*m + 2)
Factor -3*n**3 + 411*n**2 - 13869*n - 14283.
-3*(n - 69)**2*(n + 1)
Determine l so that 3*l**5 - 87*l**4 + 486*l**3 + 2112*l**2 + 1536*l = 0.
-2, -1, 0, 16
Factor -2*r**4 - 28*r**3 + 102*r**2.
-2*r**2*(r - 3)*(r + 17)
Suppose 12*r**4 - 28*r**3 - 612*r**2 - 932*r - 360 = 0. Calculate r.
-5, -1, -2/3, 9
Determine y, given that -5*y**2/3 - 2*y/3 = 0.
-2/5, 0
What is j in 35*j**5 - 150*j**4 - 205*j**3 + 420*j**2 - 100*j = 0?
-2, 0, 2/7, 1, 5
Factor 35*q**5 + 515*q**4 - 150*q**3.
5*q**3*(q + 15)*(7*q - 2)
Factor -108*h**3 + 78*h**2 - 40*h/3 + 2/3.
-2*(2*h - 1)*(9*h - 1)**2/3
Suppose 3*q**3/2 - 3*q**2 + 3*q/2 = 0. What is q?
0, 1
Let 5*z**3 + 125*z**2 + 670*z - 800 = 0. Calculate z.
-16, -10, 1
Let -y**5 - 104*y**4 - 2596*y**3 + 5722*y**2 + 2597*y - 5618 = 0. What is y?
-53, -1, 1, 2
Factor -4*n**3/9 - 80*n**2/9 + 92*n/3.
-4*n*(n - 3)*(n + 23)/9
Factor 3*y**3/4 + 12*y**2 + 87*y/4 + 21/2.
3*(y + 1)**2*(y + 14)/4
Let -50*d**5 + 195*d**4 - 245*d**3 + 120*d**2 - 20*d = 0. Calculate d.
0, 2/5, 1/2, 1, 2
Find j such that 5*j**3 + 380*j**2 + 7220*j = 0.
-38, 0
Let -12*m**5 - 690*m**4 - 4059*m**3/4 - 1515*m**2/4 - 42*m = 0. What is m?
-56, -1, -1/4, 0
Factor 2*f**3/13 + 2*f**2 + 94*f/13 + 70/13.
2*(f + 1)*(f + 5)*(f + 7)/13
What is r in 2*r**5/5 - 32*r**4/5 - 48*r**3/5 + 236*r**2/5 + 46*r/5 - 204/5 = 0?
-3, -1, 1, 2, 17
Factor -2*r**3 + 60*r**2 + 128*r.
-2*r*(r - 32)*(r + 2)
What is p in 3*p**5/4 - 33*p**4/2 + 123*p**3/4 - 15*p**2 = 0?
0, 1, 20
Factor 2*g**2 + 10*g + 12.
2*(g + 2)*(g + 3)
Solve 9*q**3/5 - 231*q**2/5 - 336*q/5 + 324/5 = 0 for q.
-2, 2/3, 27
Suppose 4*v**4 - 44*v**3 + 32*v**2 + 80*v = 0. What is v?
-1, 0, 2, 10
Let 2*r**2/7 + 240*r/7 + 7200/7 = 0. What is r?
-60
Factor 2*y**2/7 + 80*y/7 + 800/7.
2*(y + 20)**2/7
Factor g**2/7 - 105*g.
g*(g - 735)/7
Factor -2*v**4 - 10*v**3 + 148*v**2 - 240*v.
-2*v*(v - 5)*(v - 2)*(v + 12)
Solve 2*j**3 + 252*j**2 + 976*j = 0.
-122, -4, 0
Let o**3 - 27*o**2/2 + 35*o + 99/2 = 0. Calculate o.
-1, 11/2, 9
Factor -p**3/3 + 159*p**2 + 640*p + 1924/3.
-(p - 481)*(p + 2)**2/3
Factor 3*y**2 + 1782*y + 264627.
3*(y + 297)**2
Factor -3*y**2 - 3*y + 1140.
-3*(y - 19)*(y + 20)
Solve -d**4 - d**3 + 4*d**2 + 4*d = 0 for d.
-2, -1, 0, 2
Find s such that -4*s**2/3 + 16*s + 52/3 = 0.
-1, 13
Find z such that -2*z**4/15 - 2*z**3/3 - 4*z**2/5 + 8*z/15 + 16/15 = 0.
-2, 1
Let 8*b**4 + 30*b**3 - 16*b**2 - 30*b + 8 = 0. Calculate b.
-4, -1, 1/4, 1
Find u such that -5*u**4/2 - 1265*u**3/2 - 3745*u**2/2 + 1265*u/2 + 1875 = 0.
-250, -3, -1, 1
Factor -15*t**3 + 1000*t**2 - 1635*t + 650.
-5*(t - 65)*(t - 1)*(3*t - 2)
Suppose -2*n**5/3 + 50*n**4/3 - 46*n**3/3 - 50*n**2/3 + 16*n = 0. What is n?
-1, 0, 1, 24
Factor -2*m**2/5 + 904*m - 510760.
-2*(m - 1130)**2/5
What is n in -n**4/3 - n**3 + 6*n**2 = 0?
-6, 0, 3
Suppose f**4 - 5*f**3 + f**2 + 21*f - 18 = 0. Calculate f.
-2, 1, 3
Let -s**4/3 + 5*s**3/3 - 2*s**2/3 - 20*s/3 + 8 = 0. What is s?
-2, 2, 3
Solve 2*r**2/3 + 1864*r/3 + 434312/3 = 0 for r.
-466
Solve 2*v**3 + 120*v**2 + 2376*v + 15488 = 0 for v.
-22, -16
Suppose 60*o**2 + 478*o - 16 = 0. Calculate o.
-8, 1/30
Factor 2*k**3 + 26*k**2 - 58*k + 30.
2*(k - 1)**2*(k + 15)
Find m such that -2*m**2 + 408*m + 1242 = 0.
-3, 207
Find x, given that 2*x**3/9 - 10*x**2/9 - 2*x/9 + 10/9 = 0.
-1, 1, 5
Determine r so that -51*r**4/4 + 249*r**3/4 - 123*r**2/4 - 477*r/4 - 27/2 = 0.
-1, -2/17, 3
Solve -20*x**3 - 3135*x**2 - 2335*x + 780 = 0 for x.
-156, -1, 1/4
Let -c**3 - 210*c**2 - 14700*c - 343000 = 0. What is c?
-70
Factor -z**2 + 250*z - 15625.
-(z - 125)**2
Find j, given that 2*j**2/9 + 6538*j/9 - 2180/3 = 0.
-3270, 1
Determine l so that 2*l**5/11 + 276*l**4/11 - 280*l**3/11 - 276*l**2/11 + 278*l/11 = 0.
-139, -1, 0, 1
Factor -g**4/7 + 8*g**3/7 + g**2/7 - 8*g/7.
-g*(g - 8)*(g - 1)*(g + 1)/7
Factor 3*l**3 + 84*l**2 + 417*l - 504.
3*(l - 1)*(l + 8)*(l + 21)
Factor w**2/4 - 7*w/4 + 3.
(w - 4)*(w - 3)/4
Determine d so that 2*d**4/5 - 26*d**3 + 126*d**2/5 + 26*d - 128/5 = 0.
-1, 1, 64
Factor x**2/2 - 217*x/2 + 108.
(x - 216)*(x - 1)/2
Let c**5 - 7*c**3 + 6*c**2 = 0. Calculate c.
-3, 0, 1, 2
Factor s**3/9 - 3*s**2 + 56*s/3 + 196/9.
(s - 14)**2*(s + 1)/9
Determine s so that -2*s**3/13 + 30*s**2/13 - 136*s/13 + 168/13 = 0.
2, 6, 7
Find y such that -y**3/5 + 22*y**2/5 - 131*y/5 + 22 = 0.
1, 10, 11
Determine c so that 60*c**5 + 5815*c**4 + 5230*c**3 - 4855*c**2 - 5290*c - 960 = 0.
-96, -1, -2/3, -1/4, 1
Find c such that 2*c**4/3 + 314*c**3/3 + 12166*c**2/3 - 12482*c/3 = 0.
-79, 0, 1
Let 2*v**2/5 + 396*v/5 + 19602/5 = 0. What is v?
-99
Factor i**5 + 53*i**4 - 56*i**3 - 108*i**2.
i**2*(i - 2)*(i + 1)*(i + 54)
Find q such that -3*q**4/5 + 102*q**3/5 + 21*q**2 = 0.
-1, 0, 35
Factor -2*b**4 + 18*b**3 + 126*b**2 - 298*b + 156.
-2*(b - 13)*(b - 1)**2*(b + 6)
Find c such that 25*c**3/2 - 320*c**2 - 4135*c/2 - 775 = 0.
-5, -2/5, 31
Factor 2*c**5/5 - 18*c**4 + 68*c**3 - 100*c**2 + 66*c - 82/5.
2*(c - 41)*(c - 1)**4/5
What is p in 2*p**4 + 136*p**3 - 4182*p**2 + 22204*p + 62192 = 0?
-92, -2, 13
What is d in d**2/3 - 886*d/3 + 196249/3 = 0?
443
Determine q so that -45*q**4 - 6*q**3 = 0.
-2/15, 0
Suppose 5*t**2 + 40*t + 60 = 0. Calculate t.
-6, -2
Factor 2*v**3/9 - 44*v**2/3 + 250*v/9 + 128/3.
2*(v - 64)*(v - 3)*(v + 1)/9
Factor q**4 - 17*q**3 - 3*q**2 + 49*q + 34.
(q - 17)*(q - 2)*(q + 1)**2
Factor 6*g**3 + 680*g**2 + 19038*g - 12996.
2*(g + 57)**2*(3*g - 2)
Find i, given that -64*i**5 + 46352*i**4 + 81252*i**3 + 43547*i**2 + 9437*i + 726 = 0.
-1, -1/4, 726
Factor 3*n**3 + 327*n**2 + 3264*n + 2940.
3*(n + 1)*(n + 10)*(n + 98)
Solve 3*h**4 - 15*h**3 + 27*h**2 - 21*h + 6 = 0.
1, 2
Factor -12*j**3 + 320*j**2 + 108*j.
-4*j*(j - 27)*(3*j + 1)
Determine k so that k**5 - 39*k**4 + 466*k**3 - 1686*k**2 + 2125*k - 867 = 0.
1, 3, 17
Factor -4*a**2/7 - 76*a/7 - 136/7.
-4*(a + 2)*(a + 17)/7
Factor 25*g**3/4 + 1555*g**2/2 + 1241*g/4 + 31.
(g + 124)*(5*g + 1)**2/4
Factor -90*l**2/13 - 4*l + 16/13.
-2*(5*l + 4)*(9*l - 2)/13
Determine p so that 3*p**4 + 537*p**3 - 2211*p**2 - 2745*p = 0.
-183, -1, 0, 5
Solve -3*c**4/2 + 27*c**3/2 - 63*c**2/2 + 57*c/2 - 9 = 0.
1, 6
Find k, given that 3*k**3/5 + 126*k**2/5 + 207*k - 6348/5 = 0.
-23, 4
Find z such that 3*z**2 + 93*z + 90 = 0.
-30, -1
Factor -s**4/4 - 5*s**3/2 - 7*s**2 - 6*s.
-s*(s + 2)**2*(s + 6)/4
Determine u so that -2*u**5/3 - 46*u**4/3 + 50*u**3/3 + 46*u**2/3 - 16*u = 0.
-24, -1, 0, 1
Let -c**3/3 + 139*c**2/3 + 716*c/3 + 192 = 0. Calculate c.
-4, -1, 144
Let t**5/9 - 13*t**4/9 + 38*t**3/9 + 76*t**2/9 - 88*t/3 - 32 = 0. What is t?
-2, -1, 4, 6
Determine p, given that -3*p**5/4 - 11*p**4/2 - 14*p**3 - 12*p**2 + 4*p + 8 = 0.
-2, 2/3
Factor -8*n**2/3 + 860*n - 1288/3.
-4*(n - 322)*(2*n - 1)/3
Factor 4*d**2/3 - 56*d/3 + 52/3.
4*(d - 13)*(d - 1)/3
Factor -s**3 + 5*s**2 + 8*s - 12.
-(s - 6)*(s - 1)*(s + 2)
Let -128*j**5 + 3680*j**4 - 42200*j**3 + 241250*j**2 - 687500*j + 781250 = 0. Calculate j.
5, 25/4
Determine k, given that 4*k**5/7 - 12*k**4/7 + 4*k**3/7 + 12*k**2/7 - 8*k/7 = 0.
-1, 0, 1, 2
Factor r**4/5 + 3*r**3/5 - 3*r**2/5 - 11*r/5 - 6/5.
(r - 2)*(r + 1)**2*(r + 3)/5
Factor -2*f**2/11 + 92*f/11 + 94/11.
-2*(f - 47)*(f + 1)/11
Determine b so that -2*b**2/3 + 446*b/3 + 300 = 0.
-2, 225
Factor -n**3 - 9*n**2 + 498*n - 952.
-(n - 17)*(n - 2)*(n + 28)
Factor 16*x**4 + 184*x**3 + 89*x**2 + 11*x.
x*(x + 11)*(4*x + 1)**2
Find k such that -4*k**4/5 + 36*k**3/5 - 72*k**2/5 = 0.
0, 3, 6
Determine l so that -3*l**2/4 + 12*l = 0.
0, 16
Factor 5*m**2 - 2050*m + 210125.
5*(m - 205)**2
Suppose -r**4 + 3*r**3 - r**2 - 3*r + 2 = 0. What is r?
-1, 1, 2
Determine f so that -2*f**3/7 - 16*f**2/7 + 360*f/7 = 0.
-18, 0, 10
Factor h**2 + 8*h.
h*(h + 8)
Factor -2*y**2/19 + 612*y/19 - 46818/19.
-2*(y - 153)**2/19
What is z in z**5/6 + 13*z**4/6 + 19*z**3/2 + 103*z**2/6 + 41*z/3 + 4 = 0?
-6, -4, -1
