 + 860*j**2/9 - 10176*j - 20736.
-2*(j - 216)**2*(j + 2)/9
Factor -h**2 + 61*h - 624.
-(h - 48)*(h - 13)
Let 6*z**4/5 - 42*z**3/5 + 18*z**2 - 78*z/5 + 24/5 = 0. Calculate z.
1, 4
Factor 5*k**2 + 480*k + 475.
5*(k + 1)*(k + 95)
Let 5*c**2 - 2340*c + 2335 = 0. Calculate c.
1, 467
Let 3*y**4/8 - 6*y**3 - 225*y**2/8 - 147*y/4 - 15 = 0. Calculate y.
-2, -1, 20
Let -2*a**5/7 - 872*a**4/7 - 127878*a**3/7 - 6472224*a**2/7 - 24261120*a/7 - 17915904/7 = 0. What is a?
-144, -3, -1
Suppose -3*d**4/2 - 27*d**3 + 183*d**2/2 - 63*d = 0. What is d?
-21, 0, 1, 2
Determine m, given that -2*m**5 - 1012*m**4 - 128012*m**3 + 3040*m**2 + 386078*m + 256036 = 0.
-253, -1, 2
Let -b**2 + 295*b + 296 = 0. Calculate b.
-1, 296
Factor 2*w**4/3 + 2*w**3 - 2*w**2/3 - 2*w.
2*w*(w - 1)*(w + 1)*(w + 3)/3
Factor -2*g**2/5 + 262*g/15 + 88/15.
-2*(g - 44)*(3*g + 1)/15
Let -2*m**4/3 - 32*m**3/3 - 36*m**2 + 32*m/3 + 110/3 = 0. What is m?
-11, -5, -1, 1
Find s such that 2*s**3/5 - 44*s**2/5 + 224*s/5 = 0.
0, 8, 14
Factor -2*k**2 + 170*k - 2412.
-2*(k - 67)*(k - 18)
Factor -3*k**2 - 321*k/7 - 90/7.
-3*(k + 15)*(7*k + 2)/7
Factor 4*h**2/3 + 84*h.
4*h*(h + 63)/3
Suppose -2*f**3/9 - 28*f**2/3 + 182*f/9 + 88/3 = 0. Calculate f.
-44, -1, 3
Determine j, given that 2*j**4 + 18*j**3 + 36*j**2 = 0.
-6, -3, 0
Solve 2*f**3/5 + 14*f**2/5 + 12*f/5 = 0.
-6, -1, 0
Find r, given that -2*r**5 + 20*r**4 - 46*r**3 + 28*r**2 = 0.
0, 1, 2, 7
Suppose 3*c**4/4 - 111*c**3/4 + 189*c**2 = 0. Calculate c.
0, 9, 28
Solve -2*b**5 - 10*b**4 - 10*b**3 + 10*b**2 + 12*b = 0 for b.
-3, -2, -1, 0, 1
Suppose 7*h**5/2 - 159*h**4/2 + 395*h**3/2 - 301*h**2/2 + 9*h + 20 = 0. Calculate h.
-2/7, 1, 20
Factor -4*o**4 - 8*o**3 + 32*o**2.
-4*o**2*(o - 2)*(o + 4)
Factor -4*c**3 + 4*c**2 + 260*c - 900.
-4*(c - 5)**2*(c + 9)
Factor a**5/3 + 3*a**4 + 25*a**3/3 + 9*a**2 + 10*a/3.
a*(a + 1)**2*(a + 2)*(a + 5)/3
Factor -2*q**3 + 4*q**2 + 96*q.
-2*q*(q - 8)*(q + 6)
What is d in -2*d**4/3 + 98*d**2 + 1372*d/3 = 0?
-7, 0, 14
Determine q so that 9*q**3 + 3*q**2 - 9*q - 3 = 0.
-1, -1/3, 1
Factor 2*f**4/3 + 182*f**3/3 + 1370*f**2 + 9150*f.
2*f*(f + 15)**2*(f + 61)/3
Factor -5*c**3 + 15*c**2 + 80*c + 60.
-5*(c - 6)*(c + 1)*(c + 2)
Factor -3*w**3/2 + 56*w**2 - 490*w - 352.
-(w - 22)*(w - 16)*(3*w + 2)/2
Factor -2*m**3/5 - 2*m**2 + 156*m/5 - 144/5.
-2*(m - 6)*(m - 1)*(m + 12)/5
Factor -d**2/5 + 258*d/5.
-d*(d - 258)/5
Factor 2*x**3/17 - 18*x**2/17 - 104*x/17.
2*x*(x - 13)*(x + 4)/17
Solve -4*l**5 - 892*l**4 + 3640*l**3 + 1768*l**2 - 10932*l - 8172 = 0.
-227, -1, 3
Factor 5*i**2/2 + 23*i + 24.
(i + 8)*(5*i + 6)/2
Factor -4*g**3/3 + 212*g**2/3 - 3740*g/3 + 21964/3.
-4*(g - 19)*(g - 17)**2/3
Factor 3*f**2/2 + 15*f/2.
3*f*(f + 5)/2
Suppose 2*l**3/3 + 244*l**2/3 - 82*l = 0. Calculate l.
-123, 0, 1
Factor p**2/2 + 27*p/2.
p*(p + 27)/2
Factor 5*a**3/2 - 30*a**2 + 195*a/2 - 70.
5*(a - 7)*(a - 4)*(a - 1)/2
Factor 4*z**3 + 25*z**2 + 38*z + 8.
(z + 2)*(z + 4)*(4*z + 1)
Factor -11*i**3 - 216*i**2 + 876*i/11 - 80/11.
-(i + 20)*(11*i - 2)**2/11
Solve 6*h**4 - 368*h**3 - 742*h**2/3 - 124*h/3 = 0.
-1/3, 0, 62
Solve j**2/2 - 11*j/2 = 0 for j.
0, 11
Suppose v**5 - 12*v**4 + 33*v**3 + 34*v**2 - 84*v - 72 = 0. What is v?
-1, 2, 6
Factor t**2 + 12*t - 13.
(t - 1)*(t + 13)
Let u**3/5 + 11*u**2/5 - 34*u/5 - 104/5 = 0. Calculate u.
-13, -2, 4
Factor 34*i**2 + 620*i/3 + 16.
2*(i + 6)*(51*i + 4)/3
Factor -v**4 + 3*v**3 - 4*v.
-v*(v - 2)**2*(v + 1)
Factor -2*z**3 - 10*z**2 - 16*z - 8.
-2*(z + 1)*(z + 2)**2
Suppose -4*o**2 - 1592*o - 158404 = 0. Calculate o.
-199
Solve -z**5/5 + 4*z**4/5 + 61*z**3/5 - 76*z**2/5 - 564*z/5 - 432/5 = 0.
-6, -2, -1, 4, 9
Determine w so that -3*w**5/2 + 333*w**4/2 - 12321*w**3/2 + 151959*w**2/2 = 0.
0, 37
Factor -25*q**5 - 985*q**4 - 391*q**3 - 39*q**2.
-q**2*(q + 39)*(5*q + 1)**2
Determine l, given that 2*l**5/9 + 104*l**4/9 - 554*l**3/9 + 904*l**2/9 - 152*l/3 = 0.
-57, 0, 1, 2
Factor t**4/5 - 3*t**3/5 + t**2/5 + 3*t/5 - 2/5.
(t - 2)*(t - 1)**2*(t + 1)/5
Determine a so that -a**3/2 + 17*a**2/2 - 44*a + 72 = 0.
4, 9
Factor -2*a**3 + 66*a**2/7 - 90*a/7 + 38/7.
-2*(a - 1)**2*(7*a - 19)/7
Suppose 27*m**2/2 - 3*m/8 = 0. What is m?
0, 1/36
Suppose 5*y**5 - 15*y**4 + 5*y**3 + 15*y**2 - 10*y = 0. Calculate y.
-1, 0, 1, 2
Factor h**4 - 161*h**3 + 6234*h**2 + 19844*h + 13448.
(h - 82)**2*(h + 1)*(h + 2)
Factor 2*x**4 - 44*x**3 + 256*x**2 - 448*x.
2*x*(x - 14)*(x - 4)**2
Factor -r**4/8 - 5*r**3/8 - r**2/4 + 5*r/2 + 3.
-(r - 2)*(r + 2)**2*(r + 3)/8
Factor -2*p**4 - 8*p**3 + 54*p**2 - 76*p + 32.
-2*(p - 2)*(p - 1)**2*(p + 8)
Factor 2*w**4 + 86*w**3 + 166*w**2 + 82*w.
2*w*(w + 1)**2*(w + 41)
What is m in 9*m**4/4 + 24*m**3 + 71*m**2/2 + 16*m + 9/4 = 0?
-9, -1, -1/3
Find o, given that 162*o**4/23 - 23688*o**3/23 + 28748*o**2/23 - 5512*o/23 + 290/23 = 0.
1/9, 1, 145
Factor -2*u**2 + 82*u/7 + 12/7.
-2*(u - 6)*(7*u + 1)/7
Factor 2*v**5/5 + 2*v**4 - 26*v**3/5 + 14*v**2/5.
2*v**2*(v - 1)**2*(v + 7)/5
Determine d so that 324*d**5/7 - 3060*d**4/7 + 7792*d**3/7 - 6912*d**2/7 + 2048*d/7 - 192/7 = 0.
2/9, 1, 2, 6
Find j such that 5*j**3 + 95*j**2 - 1220*j + 1120 = 0.
-28, 1, 8
Factor -3*p**4 + 9*p**3 + 42*p**2 - 36*p - 120.
-3*(p - 5)*(p - 2)*(p + 2)**2
What is t in -t**5 + 2*t**4 + 20*t**3 - 66*t**2 + 45*t = 0?
-5, 0, 1, 3
Suppose q**4/7 + 174*q**3/7 + 7568*q**2/7 - 174*q/7 - 7569/7 = 0. What is q?
-87, -1, 1
Find h, given that -5*h**4 - 1757*h**3 + 2823*h**2 - 355*h - 706 = 0.
-353, -2/5, 1
Factor -p**4/7 - 24*p**3/7 - 143*p**2/7 + 24*p/7 + 144/7.
-(p - 1)*(p + 1)*(p + 12)**2/7
Solve -q**2/3 - 94*q/3 - 2209/3 = 0.
-47
What is h in h**3/3 - 537*h**2 + 1073*h - 1609/3 = 0?
1, 1609
Let -2*q**2/5 - 1164*q/5 - 169362/5 = 0. Calculate q.
-291
Factor 2*b**3/5 + 32*b**2/5 + 32*b + 256/5.
2*(b + 4)**2*(b + 8)/5
Determine r so that r**2/5 + 191*r/5 - 386/5 = 0.
-193, 2
Let w**3/9 + 10*w**2/9 = 0. Calculate w.
-10, 0
Factor b**4/3 + 211*b**3/3 + 418*b**2/3.
b**2*(b + 2)*(b + 209)/3
Find w, given that 9*w**5/2 + 123*w**4 + 729*w**3/2 + 90*w**2 - 438*w - 144 = 0.
-24, -2, -1/3, 1
Determine o, given that -o**2/9 - 16*o + 49 = 0.
-147, 3
Suppose -3*w**4 - 114*w**3 - 1212*w**2 - 1326*w + 18207 = 0. What is w?
-17, -7, 3
Factor 4*x**5 - 4*x**4 - 72*x**3 + 208*x**2 - 160*x.
4*x*(x - 2)**3*(x + 5)
Factor 3*o**3 - 285*o**2 - 579*o - 291.
3*(o - 97)*(o + 1)**2
Solve 10*d**4/7 - 206*d**3/7 - 534*d**2/7 - 410*d/7 - 92/7 = 0.
-1, -2/5, 23
Factor v**3/2 + 123*v**2/2 - 249*v/2 + 125/2.
(v - 1)**2*(v + 125)/2
Factor -7*h**3/4 - 671*h**2/2 - 16032*h + 4608.
-(h + 96)**2*(7*h - 2)/4
Find m, given that -m**5/10 + 3*m**4/10 + 7*m**3/10 - 11*m**2/10 - 3*m/5 + 4/5 = 0.
-2, -1, 1, 4
Factor 3*t**4/7 + 33*t**3/7 + 45*t**2/7 - 81*t/7.
3*t*(t - 1)*(t + 3)*(t + 9)/7
Solve -3*m**4 - 126*m**3 - 1320*m**2 + 126*m + 1323 = 0 for m.
-21, -1, 1
Factor 4*t**4 + 12*t**3 - 76*t**2 - 348*t - 360.
4*(t - 5)*(t + 2)*(t + 3)**2
Let 45*p**5 - 429*p**4 - 3449*p**3/5 - 1947*p**2/5 - 96*p - 44/5 = 0. Calculate p.
-2/5, -1/3, 11
Suppose -q**5 - 3*q**4 + 5*q**3 + 15*q**2 - 4*q - 12 = 0. What is q?
-3, -2, -1, 1, 2
Determine s so that -2*s**5 + 10*s**4 - 2*s**3 - 34*s**2 + 44*s - 16 = 0.
-2, 1, 4
Determine o, given that 2*o**3 + 208*o**2 + 808*o + 800 = 0.
-100, -2
Solve -5*o**3 + 25*o**2 + 5*o - 25 = 0.
-1, 1, 5
Solve -3*q**5 - 60*q**4 - 279*q**3 + 6*q**2 + 1164*q + 936 = 0.
-13, -6, -2, -1, 2
Find l such that 3*l**4/7 - 15*l**3/7 + 3*l**2/7 + 9*l - 54/7 = 0.
-2, 1, 3
Determine y, given that 5*y**5 + 70*y**4 - 80*y**3 - 70*y**2 + 75*y = 0.
-15, -1, 0, 1
Factor -4*p**2 + 576*p - 20736.
-4*(p - 72)**2
Find m such that -2*m**5/9 + 2*m**4/9 + 10*m**3/9 + 2*m**2/3 = 0.
-1, 0, 3
Factor 3*u**5 + 15*u**4 + 24*u**3 + 12*u**2.
3*u**2*(u + 1)*(u + 2)**2
Let n**3 + 2*n**2 + n = 0. What is n?
-1, 0
Find a, given that -a**4 + 18*a**3 - 109*a**2 + 252*a - 196 = 0.
2, 7
What is d in -27*d**3/7 + 39*d**2/7 - 12*d/7 = 0?
0, 4/9, 1
What is w in -w**5/9 + w**4/3 + 5*w**3/3 + 17*w**2/9 + 2*w/3 = 0?
-1, 0, 6
Factor -l**4/2 + 19*l**3 - 156*l**2 - 560*l + 1600.
-(l - 20)**2*(l - 2)*(l + 4)/2
Factor m**3/6 - 73*m**2/6 + 143*m/6 - 71/6.
(m - 71)*(m - 1)**2/6
Factor f**2/4 - 22*f.
f*(f - 88)/4
Solve 2*o**2/11 - 114*o/11 + 612/11 = 0 for o.
6, 51
Factor 2*y**3 + 184*y**2 - 566*y + 380.
2*(y - 2)*(y - 1)*(y + 95)
Factor 4*r**3/5 + 104*r**2/5 + 