 + 267*g**2 - 129*g.
3*g*(g - 1)**2*(3*g - 43)
Determine a, given that 12*a**5 + 12*a**4 - 1761*a**3 - 9996*a**2 - 8673*a - 2058 = 0.
-7, -1/2, 14
Factor -5*t**2 + 57170*t - 163420445.
-5*(t - 5717)**2
Factor 4*o**2 + 3704*o + 857476.
4*(o + 463)**2
Let w**3/6 - 27*w**2 + 1458*w - 26244 = 0. Calculate w.
54
Factor -63*u**3 - 249*u**2 + 327*u - 15.
-3*(u - 1)*(u + 5)*(21*u - 1)
Factor d**4 + 40*d**3 + 303*d**2 - 2156*d - 2420.
(d - 5)*(d + 1)*(d + 22)**2
Factor 5*l**2/3 + 150*l + 435.
5*(l + 3)*(l + 87)/3
Suppose 2*h**5/7 + 2*h**4 + 38*h**3/7 + 50*h**2/7 + 32*h/7 + 8/7 = 0. What is h?
-2, -1
Determine i so that i**4/4 + 77*i**3/2 + 1881*i**2/4 + 1701*i + 1269 = 0.
-141, -6, -1
Suppose m**5/4 + 151*m**4/4 + 5923*m**3/4 + 16873*m**2/4 + 4144*m + 1369 = 0. What is m?
-74, -1
Factor -2*a**4/15 + 386*a**3/15 + 388*a**2/15.
-2*a**2*(a - 194)*(a + 1)/15
Let -15*m**4 + 21*m**3 + 249*m**2 + 123*m - 90 = 0. Calculate m.
-3, -1, 2/5, 5
Find d, given that 3*d**2/2 + 453*d/2 = 0.
-151, 0
Suppose -3*s**5 + 21*s**4 + 6*s**3 - 42*s**2 - 3*s + 21 = 0. Calculate s.
-1, 1, 7
Suppose 3*i**4 + 153*i**3 - 162*i**2 - 312*i = 0. What is i?
-52, -1, 0, 2
Determine g, given that -3*g**3/8 + 4227*g**2/4 - 5955843*g/8 = 0.
0, 1409
Factor -5*w**2 + 13475*w.
-5*w*(w - 2695)
Factor 12*r**2 - 4*r - 16.
4*(r + 1)*(3*r - 4)
Determine q, given that 25*q**3 - 410*q**2 + 1735*q - 630 = 0.
2/5, 7, 9
Factor -o**4/3 - 5*o**3/3 + o**2 + 13*o/3 - 10/3.
-(o - 1)**2*(o + 2)*(o + 5)/3
Solve -2*u**5/3 - 68*u**4 + 208*u**3/3 + 68*u**2 - 206*u/3 = 0.
-103, -1, 0, 1
Let -4*i**4 - 460*i**3 - 12992*i**2 + 13456*i = 0. What is i?
-58, 0, 1
What is z in -z**2 - 29*z - 198 = 0?
-18, -11
Let -2*p**3/5 + 246*p**2/5 + 1008*p/5 + 1016/5 = 0. What is p?
-2, 127
What is l in 5*l**2 - 5*l = 0?
0, 1
Factor r**2/4 - 13*r + 51/4.
(r - 51)*(r - 1)/4
Find v such that -2*v**4/7 + 10*v**3/7 + 50*v**2/7 - 10*v/7 - 48/7 = 0.
-3, -1, 1, 8
Suppose -4*o**4 + 32*o**3 - 88*o**2 + 96*o - 36 = 0. Calculate o.
1, 3
Factor -o**2/4 + o/2 + 3/4.
-(o - 3)*(o + 1)/4
Factor -7*a**5/3 - 15*a**4 - 34*a**3 - 92*a**2/3 - 8*a.
-a*(a + 2)**3*(7*a + 3)/3
Solve 2*y**4/7 + 16*y**3/7 + 40*y**2/7 + 32*y/7 = 0.
-4, -2, 0
Factor -2*m**3 - 3*m**2 + 5*m + 6.
-(m + 1)*(m + 2)*(2*m - 3)
Solve 5*w**5 - 2400*w**4 + 292755*w**3 - 1140020*w**2 + 849660*w = 0 for w.
0, 1, 3, 238
Let -5*h**5/2 + 3*h**4/2 + 7*h**3/2 - 3*h**2/2 - h = 0. What is h?
-1, -2/5, 0, 1
Solve 3*s**3 + 75*s**2 - 159*s + 81 = 0 for s.
-27, 1
Determine c, given that -2*c**3 - 7314*c**2 - 6683166*c + 6690482 = 0.
-1829, 1
Factor 2*j**2/7 - 82*j/7.
2*j*(j - 41)/7
Find c such that -18*c**4 - 6*c**3 + 352*c**2 + 640*c = 0.
-8/3, 0, 5
Factor h**3/2 - 7*h**2/3 + 17*h/6 - 1.
(h - 3)*(h - 1)*(3*h - 2)/6
Let 2*l**2 - 245*l/2 + 61/2 = 0. What is l?
1/4, 61
Factor -5*o**2 - 390*o + 395.
-5*(o - 1)*(o + 79)
What is s in -3*s**5 + 111*s**4 - 213*s**3 + 105*s**2 = 0?
0, 1, 35
Let 2*r**2 + 62*r + 336 = 0. Calculate r.
-24, -7
Determine v, given that 20*v**2 - 3012*v + 1800 = 0.
3/5, 150
What is g in -837*g**5 - 333*g**4 + 2400*g**3 + 2760*g**2 + 912*g + 48 = 0?
-1, -2/3, -2/31, 2
Factor -5*c**3 + 5*c**2 + 10*c.
-5*c*(c - 2)*(c + 1)
Find k such that -8*k**2 - 118*k + 30 = 0.
-15, 1/4
Factor -5*m**2/2 + 2530*m - 640090.
-5*(m - 506)**2/2
Let 2*p**2/5 + 15756*p/5 + 31031442/5 = 0. What is p?
-3939
Find m such that 3*m**3 - 855*m**2 + 11529*m - 39837 = 0.
7, 271
Factor -y**2 + 64*y + 65.
-(y - 65)*(y + 1)
Find n such that -n**5/2 + n**4/4 + 11*n**3/2 - 47*n**2/4 + 17*n/2 - 2 = 0.
-4, 1/2, 1, 2
Factor 2*n**4 + 142*n**3 + 412*n**2 + 272*n.
2*n*(n + 1)*(n + 2)*(n + 68)
Suppose 3*w**5 - 105*w**4 + 816*w**3 + 2760*w**2 - 17712*w + 19440 = 0. Calculate w.
-5, 2, 18
Determine m so that -2*m**3 - 92*m**2 - 178*m - 88 = 0.
-44, -1
Factor -5*f**5 - 5*f**4 + 10*f**3.
-5*f**3*(f - 1)*(f + 2)
Factor i**4/6 + i**3/3 - i**2/2.
i**2*(i - 1)*(i + 3)/6
Solve 2*r**2/17 - 260*r/17 - 528/17 = 0.
-2, 132
Solve 2*i**5/13 + 24*i**4/13 - 54*i**3/13 + 28*i**2/13 = 0.
-14, 0, 1
Factor g**2 - 216*g + 215.
(g - 215)*(g - 1)
Factor 2*c**2/5 + 12*c/5 - 864/5.
2*(c - 18)*(c + 24)/5
Factor 117*z**2 - 444*z - 96.
3*(z - 4)*(39*z + 8)
Let s**5/5 + 3*s**4 - 243*s**3/5 - 3883*s**2/5 - 618*s + 1440 = 0. What is s?
-15, -2, 1, 16
Let i**2/5 + 69*i/5 - 14 = 0. Calculate i.
-70, 1
Determine i, given that -13*i**2/8 - 57*i/8 = 0.
-57/13, 0
Factor 4*q**4/7 - 16*q**3 - 500*q**2/7 - 384*q/7.
4*q*(q - 32)*(q + 1)*(q + 3)/7
Factor 2*d**4 + 80*d**3 - 254*d**2 + 172*d.
2*d*(d - 2)*(d - 1)*(d + 43)
Factor 2*x**2/13 + 8*x/13 + 6/13.
2*(x + 1)*(x + 3)/13
Factor 2*g**2 - 68*g + 66.
2*(g - 33)*(g - 1)
Determine i so that 9*i**5 + 75*i**4/2 + 6*i**3 - 144*i**2 - 168*i - 24 = 0.
-2, -1/6, 2
Factor -t**5/4 - 3*t**4/2 - 5*t**3/4.
-t**3*(t + 1)*(t + 5)/4
Solve 2*r**4/5 - 54*r**3/5 + 78*r**2/5 + 574*r/5 - 120 = 0.
-3, 1, 4, 25
Determine c, given that -2*c**2/9 - 8*c/3 - 6 = 0.
-9, -3
Factor -3*i**2/5 - 24*i/5 - 9.
-3*(i + 3)*(i + 5)/5
Suppose -3*o**3/4 - 327*o**2/4 - 645*o/4 - 321/4 = 0. Calculate o.
-107, -1
Factor a**3/2 - 2*a**2 - 29*a/2 - 12.
(a - 8)*(a + 1)*(a + 3)/2
Factor -2*c**2/3 + 94*c - 1360/3.
-2*(c - 136)*(c - 5)/3
Solve 2*g**3 - 6*g**2 - 194*g + 198 = 0.
-9, 1, 11
Find w such that -w**3/4 - 4*w**2 - 29*w/4 - 7/2 = 0.
-14, -1
Find r, given that 8*r**4 + 322*r**3 - 1328*r**2 - 352*r = 0.
-44, -1/4, 0, 4
Factor n**2 - 6*n - 135.
(n - 15)*(n + 9)
Factor 2*j**4/9 + 32*j**3/9 + 20*j**2 + 48*j + 42.
2*(j + 3)**3*(j + 7)/9
What is r in -3*r**4/4 + 21*r**3/4 - 9*r**2 - 3*r + 12 = 0?
-1, 2, 4
Find i, given that 168*i**3 - 663*i**2 + 468*i + 27 = 0.
-3/56, 1, 3
Factor -4*k**2/7 + 8*k - 180/7.
-4*(k - 9)*(k - 5)/7
Let 28227*r**5/2 - 582*r**4 - 84633*r**3/8 - 24735*r**2/8 + 141*r - 3/2 = 0. What is r?
-1/2, 2/97, 1
Let -2*t**3 - 720*t**2 = 0. What is t?
-360, 0
Find j, given that 2*j**3/3 + 670*j**2/3 + 1996*j/3 + 1328/3 = 0.
-332, -2, -1
Solve -k**4/7 - 4*k**3/7 + k**2/7 + 4*k/7 = 0.
-4, -1, 0, 1
Solve q**3/5 - 2*q**2/5 - q/5 + 2/5 = 0.
-1, 1, 2
Factor -32*p**3/5 + 7*p**2 - 3*p/5.
-p*(p - 1)*(32*p - 3)/5
Factor -w**3 + 6*w**2 - 12*w + 8.
-(w - 2)**3
Factor 3*i**2 + 57*i + 54.
3*(i + 1)*(i + 18)
Let -2*n**2 + 28*n = 0. What is n?
0, 14
Factor 18*u**2/11 + 32*u/11 - 8/11.
2*(u + 2)*(9*u - 2)/11
Suppose -2*d**2/5 - 16*d/5 = 0. What is d?
-8, 0
Let -18*j**4/7 + 680*j**3/7 + 1592*j**2/7 + 320*j/7 = 0. Calculate j.
-2, -2/9, 0, 40
Let -5*u**5 + 35*u**3 - 10*u**2 - 60*u + 40 = 0. What is u?
-2, 1, 2
Factor x**3 + 351*x**2 + 30975*x + 30625.
(x + 1)*(x + 175)**2
Determine q, given that 12*q**2/5 + 56*q/5 - 68/5 = 0.
-17/3, 1
Suppose 27*k**2 - 426*k + 672 = 0. What is k?
16/9, 14
Solve -6*t**4/7 + 68*t**3/7 + 338*t**2/7 - 120*t/7 = 0.
-4, 0, 1/3, 15
Determine r so that -18*r**2/19 - 46*r/19 + 24/19 = 0.
-3, 4/9
Determine h, given that -h**5/2 - 2*h**4 + 11*h**3/2 - 3*h**2 = 0.
-6, 0, 1
Factor 4*v**2/9 + 844*v/9.
4*v*(v + 211)/9
Determine m, given that -2*m**2/9 + 16*m/9 = 0.
0, 8
Factor 3*f**2 - 252*f - 1056.
3*(f - 88)*(f + 4)
Factor 3*v**3 + 93*v**2 + 765*v + 675.
3*(v + 1)*(v + 15)**2
Find s such that 2*s**5/13 - 16*s**4/13 + 44*s**3/13 - 48*s**2/13 + 18*s/13 = 0.
0, 1, 3
Factor 3*a**2 + 4032*a + 1354752.
3*(a + 672)**2
Factor 2*v**3/3 + 46*v**2 + 1040*v + 23200/3.
2*(v + 20)**2*(v + 29)/3
What is v in -v**3/6 + 81*v/2 - 243 = 0?
-18, 9
Factor -d**2 + 38*d - 136.
-(d - 34)*(d - 4)
Let 2*x**5/9 + 22*x**4/9 + 92*x**3/9 + 20*x**2 + 18*x + 6 = 0. What is x?
-3, -1
Let -72*d**5 + 984*d**4 - 3986*d**3 + 3772*d**2 + 1608*d + 144 = 0. Calculate d.
-1/6, 2, 6
Find v, given that 27*v**4/5 + 168*v**3/5 - 1827*v**2/5 - 4572*v/5 - 924/5 = 0.
-11, -2, -2/9, 7
What is z in -2*z**4/5 - 306*z**3/5 - 1198*z**2/5 - 894*z/5 = 0?
-149, -3, -1, 0
What is y in -2*y**4 - 8*y**3 + 10*y**2 = 0?
-5, 0, 1
Factor -n**3/4 + n**2/4 + 37*n/2 - 36.
-(n - 8)*(n - 2)*(n + 9)/4
What is d in -4*d**3 + 88*d**2 + 404*d + 312 = 0?
-3, -1, 26
Factor 2*h**4/17 - 6*h**3/17 - 120*h**2/17 + 736*h/17 - 1152/17.
2*(h - 4)**3*(h + 9)/17
Find o, given that -4*o**3/3 + 980*o**2/3 + 992*o/3 - 656 = 0.
-2, 1, 246
Factor j**4 - 4*j**3 - 19*j**2 + 46*j - 24.
(j - 6)*(j - 1)**2*(j + 4)
Factor -r**5/4 - 7*r**4/2 - 69*r**3/4 - 31*r**2 + 4*r + 48.
-(r - 1)*(r + 3)*(r + 4)**3/4
Factor -16*f**3 + 660*f**2 + 508*f 