j**4/5 + 456*j**3/5 + 267*j**2/5 - 996*j/5 + 252/5 = 0. Calculate j.
-21, -2, 2/7, 1
Solve -6*x**3/11 - 80*x**2/11 - 98*x/11 - 24/11 = 0 for x.
-12, -1, -1/3
Factor -2*q**3/9 + 74*q**2 - 18370*q/3 - 55778/9.
-2*(q - 167)**2*(q + 1)/9
Factor -16*v**4 - 68*v**3 - 80*v**2 - 16*v.
-4*v*(v + 2)**2*(4*v + 1)
Solve -507*p**5 + 1365*p**4 + 5019*p**3 - 12249*p**2 - 4104*p - 324 = 0.
-3, -2/13, 3
Factor -9*r**2 + 2757*r + 1842.
-3*(r - 307)*(3*r + 2)
Suppose u**5/7 + 123*u**4/7 + 6003*u**3/7 + 20763*u**2 + 249480*u + 1190700 = 0. Calculate u.
-30, -21
Factor q**2/9 - 86*q/9 + 1849/9.
(q - 43)**2/9
Factor -4*d**5 + 72*d**4 - 420*d**3 + 800*d**2.
-4*d**2*(d - 8)*(d - 5)**2
Determine u so that -u**4/3 + 16*u**3/3 - 88*u**2/3 + 64*u - 48 = 0.
2, 6
Suppose 2*y**3/7 - 62*y**2/7 + 172*y/7 - 16 = 0. Calculate y.
1, 2, 28
Solve 3*a**4 + 144*a**3 + 2106*a**2 + 9072*a + 11907 = 0 for a.
-21, -3
Factor 4*i**3/7 + 72*i**2/7 + 68*i/7.
4*i*(i + 1)*(i + 17)/7
Determine x so that -x**5/3 + 31*x**4/3 + 275*x**3/3 - 227*x**2/3 - 4270*x/3 - 3800/3 = 0.
-5, -1, 4, 38
Factor n**3/5 + 18*n**2/5 + 11*n/5 - 102/5.
(n - 2)*(n + 3)*(n + 17)/5
Solve 968*w**4 + 37048*w**3 + 359498*w**2 + 95988*w + 6498 = 0.
-19, -3/22
Factor -x**3/2 - 331*x**2/6 - 9185*x/6 - 3025/6.
-(x + 55)**2*(3*x + 1)/6
Factor -33*r**2/5 - 39*r/5 - 6/5.
-3*(r + 1)*(11*r + 2)/5
Factor k**3/4 - 15*k**2/4 - 337*k/4 + 351/4.
(k - 27)*(k - 1)*(k + 13)/4
Determine d so that -5*d**3 + 15*d**2 + 180*d + 160 = 0.
-4, -1, 8
Factor -52*z**2 - 580*z - 88.
-4*(z + 11)*(13*z + 2)
Find t such that -3*t**5/8 + 45*t**4/8 - 39*t**3/4 - 3*t**2/4 + 81*t/8 - 39/8 = 0.
-1, 1, 13
Factor 2*v**4/7 - 356*v**3/7 + 15842*v**2/7.
2*v**2*(v - 89)**2/7
Let t**5/8 - 3*t**3/2 - t**2/4 + 27*t/8 + 9/4 = 0. Calculate t.
-3, -1, 2, 3
Factor 5*b**3 - 210*b**2 - 215*b.
5*b*(b - 43)*(b + 1)
Factor -x**2/3 - 13*x/3 - 4.
-(x + 1)*(x + 12)/3
Factor h**4/3 + 2*h**3/3 + h**2/3.
h**2*(h + 1)**2/3
Factor 2*l**2 - 160*l + 1632.
2*(l - 68)*(l - 12)
Factor 25*r**5 + 35*r**4 - 215*r**3 + 185*r**2 + 10*r - 40.
5*(r - 1)**3*(r + 4)*(5*r + 2)
Let -4*d**3 - 8*d**2 + 28*d - 16 = 0. Calculate d.
-4, 1
Factor -4*a**2 + 4*a + 24.
-4*(a - 3)*(a + 2)
Suppose 3*h**5 - 318*h**4 + 11640*h**3 - 160752*h**2 + 513264*h - 471648 = 0. Calculate h.
2, 34
Factor 5*o**2 + 170*o + 725.
5*(o + 5)*(o + 29)
Factor -2*x**3/7 + 4*x**2 + 14*x + 68/7.
-2*(x - 17)*(x + 1)*(x + 2)/7
Solve -2*u**2/5 + 292*u/5 - 10658/5 = 0.
73
Factor -64*t**3 - 19760*t**2 + 4943*t - 309.
-(t + 309)*(8*t - 1)**2
Find w, given that -3*w**3/2 + 3*w**2 + 255*w/2 + 231 = 0.
-7, -2, 11
Find u such that 3*u**2/2 - 57*u + 1083/2 = 0.
19
Factor 5*q**3 + 22*q**2 - 17*q - 10.
(q - 1)*(q + 5)*(5*q + 2)
Suppose 12*o**5/7 + 524*o**4/7 + 1300*o**3/7 - 540*o**2/7 - 1952*o/7 + 656/7 = 0. Calculate o.
-41, -2, 1/3, 1
Factor -2*x**3 - 2158*x**2 + 8656*x - 8664.
-2*(x - 2)**2*(x + 1083)
Factor l**2/3 + 449*l/3 - 2270/3.
(l - 5)*(l + 454)/3
Suppose 3*b**4/7 + 36*b**3/7 + 123*b**2/7 + 18*b = 0. What is b?
-7, -3, -2, 0
Let -2*u**3/9 - 104*u**2/9 - 482*u/9 - 188/3 = 0. What is u?
-47, -3, -2
Factor 2*a**3/7 + 390*a**2/7 + 19206*a/7 + 18818/7.
2*(a + 1)*(a + 97)**2/7
Factor 2*p**2 + 118*p + 116.
2*(p + 1)*(p + 58)
Factor 5*p**3 - 80*p**2 + 75*p.
5*p*(p - 15)*(p - 1)
Factor -9604*g**3 - 19012*g**2 + 391*g - 2.
-(g + 2)*(98*g - 1)**2
Find l such that -3*l**4 + 39*l**3 - 180*l**2 + 336*l - 192 = 0.
1, 4
Factor -f**4/10 - 56*f**3/5 - 2352*f**2/5 - 43904*f/5 - 307328/5.
-(f + 28)**4/10
Find v, given that -v**4/9 - 16*v**3/9 - 5*v**2 + 18*v = 0.
-9, 0, 2
Factor x**3/2 + 9*x**2 + 81*x/2 + 54.
(x + 3)**2*(x + 12)/2
Suppose 2*t**4/11 + 20*t**3/11 + 6*t**2 + 80*t/11 + 32/11 = 0. What is t?
-4, -1
Factor -5*p**5 + 80*p**4 - 410*p**3 + 720*p**2 + 135*p - 1080.
-5*(p - 8)*(p - 3)**3*(p + 1)
Find y such that 5*y**5 - 45*y**4 + 100*y**3 - 60*y**2 = 0.
0, 1, 2, 6
Factor -2*a**2/5 - 956*a/5 + 958/5.
-2*(a - 1)*(a + 479)/5
Determine i, given that -10*i**4 + 5*i**3 + 25*i**2 + 10*i = 0.
-1, -1/2, 0, 2
Suppose -2*r**2 + 132*r - 2178 = 0. Calculate r.
33
Factor -2*i**3 + 8*i**2 + 142*i + 132.
-2*(i - 11)*(i + 1)*(i + 6)
What is o in -24*o**2 + 28*o = 0?
0, 7/6
Determine j, given that -15*j**3 - 18980*j**2 - 5997675*j + 4006890 = 0.
-633, 2/3
Find f, given that -3*f**2 - 72*f - 132 = 0.
-22, -2
Solve -4*f**3 + 2840*f**2 - 498372*f - 2039184 = 0.
-4, 357
What is i in i**5 - 2*i**4 - 11*i**3 + 40*i**2 - 44*i + 16 = 0?
-4, 1, 2
What is s in 4*s**2 - 148*s + 144 = 0?
1, 36
Solve 3*y**4 + 3*y**3 - 42*y**2 - 72*y = 0.
-3, -2, 0, 4
Factor -t**4 + 4*t**3 - 3*t**2 - 4*t + 4.
-(t - 2)**2*(t - 1)*(t + 1)
What is d in -2*d**4/3 + 6*d**3 + 22*d**2 + 70*d/3 + 8 = 0?
-1, 12
Factor -3*t**3 + 1080*t**2 - 1077*t.
-3*t*(t - 359)*(t - 1)
Find a, given that a**2/2 - 21*a + 297/2 = 0.
9, 33
Factor 5*k**3 + 105*k**2 - 245*k - 345.
5*(k - 3)*(k + 1)*(k + 23)
What is d in d**4/2 + 20*d**3/3 + 13*d**2/6 = 0?
-13, -1/3, 0
Factor -2*s**3 + 56*s**2 + 126*s - 180.
-2*(s - 30)*(s - 1)*(s + 3)
Solve 5*q**4/3 - 16910*q**3/3 + 14331185*q**2/3 - 19040660*q + 19018140 = 0 for q.
2, 1689
Determine j, given that -3*j**3 + 375*j**2 - 2829*j + 2457 = 0.
1, 7, 117
Factor r**3/8 - 751*r**2/8.
r**2*(r - 751)/8
Suppose 3*i**2/2 - 24 = 0. What is i?
-4, 4
Factor -5*w**3/3 + 22*w**2/3 - 7*w/3 - 34/3.
-(w - 2)*(w + 1)*(5*w - 17)/3
Factor -2*a**4/7 - 10*a**3/7 - 2*a**2 - 6*a/7.
-2*a*(a + 1)**2*(a + 3)/7
Suppose 5*u**4 + 130*u**3 + 220*u**2 - 520*u - 960 = 0. What is u?
-24, -2, 2
Find g such that g**3/4 - 25*g**2/2 + 168*g - 288 = 0.
2, 24
Find h, given that h**5 - 103*h**4 + 2600*h**3 + 2704*h**2 = 0.
-1, 0, 52
Find k such that k**3 + 195*k**2 - 4*k - 780 = 0.
-195, -2, 2
Solve 9*z**5/5 - 15*z**4 + 189*z**3/5 - 117*z**2/5 - 78*z/5 + 72/5 = 0.
-2/3, 1, 3, 4
What is p in -4*p**5 - 868*p**4 - 48364*p**3 - 137372*p**2 + 3424*p + 183184 = 0?
-107, -2, 1
Let 3*x**4/4 - 57*x**3/4 + 195*x**2/2 - 279*x + 270 = 0. Calculate x.
2, 5, 6
Suppose -2*u**2/9 - 398*u/9 - 788/9 = 0. What is u?
-197, -2
Solve -2*r**4/9 + 50*r**3/9 - 86*r**2/3 - 674*r/9 - 364/9 = 0 for r.
-1, 13, 14
Factor -2*u**5 - 14*u**4 - 22*u**3 - 10*u**2.
-2*u**2*(u + 1)**2*(u + 5)
Find r, given that 2*r**3/9 + 194*r**2/9 - 412*r/9 - 176 = 0.
-99, -2, 4
Suppose -4*k**3 + 12*k - 8 = 0. Calculate k.
-2, 1
What is o in o**5/4 - 2*o**4 + 4*o**3 = 0?
0, 4
Determine t, given that -t**3/3 + 38*t**2 - 75*t + 112/3 = 0.
1, 112
Determine j so that -3*j**5 - 15*j**4 + 57*j**3 + 375*j**2 + 450*j = 0.
-5, -3, -2, 0, 5
Factor 3*z**2 + 54*z + 51.
3*(z + 1)*(z + 17)
Factor o**3 - 5551*o**2/4 - 347*o.
o*(o - 1388)*(4*o + 1)/4
Factor -5*z**2 - 2230*z + 13560.
-5*(z - 6)*(z + 452)
Factor 2*g**2 + 114*g.
2*g*(g + 57)
Find p, given that -8*p**5 + 54*p**4 + 158*p**3 + 36*p**2 = 0.
-2, -1/4, 0, 9
Determine t, given that -20*t**3 + 21*t**2 - t = 0.
0, 1/20, 1
Solve -30*o**5 - 35*o**4 + 915*o**3 + 165*o**2 - 605*o + 150 = 0.
-6, -1, 1/3, 1/2, 5
Find z such that -3*z**3 - 147*z**2 - 1725*z + 1875 = 0.
-25, 1
Factor 2*x**2/15 - 8*x/5 + 22/15.
2*(x - 11)*(x - 1)/15
Factor 15*w**2 + 10*w - 5.
5*(w + 1)*(3*w - 1)
Factor -g**3/2 - 5*g**2/6 + 83*g/3 + 56/3.
-(g - 7)*(g + 8)*(3*g + 2)/6
Find j such that -3*j**3/5 - 33*j**2/5 - 12*j + 96/5 = 0.
-8, -4, 1
Solve 2*a**4/7 + 16*a**3/7 - 20*a**2/7 - 16*a/7 + 18/7 = 0 for a.
-9, -1, 1
What is r in -9*r**3 - 60*r**2 - 13*r + 338 = 0?
-13/3, 2
What is g in 7*g**5 - 9*g**4 - 12*g**3 + 4*g**2 = 0?
-1, 0, 2/7, 2
Find a such that a**2 + 38*a + 72 = 0.
-36, -2
Find i such that 3*i**5 + 6*i**4 - 33*i**3 - 36*i**2 = 0.
-4, -1, 0, 3
Factor 3*w**3/7 - 144*w**2 - 3051*w/7.
3*w*(w - 339)*(w + 3)/7
Suppose -98*c**5/11 - 5292*c**4/11 + 5398*c**3/11 + 432*c**2/11 - 40*c = 0. What is c?
-55, -2/7, 0, 2/7, 1
Factor -5*o**2 + 190*o + 195.
-5*(o - 39)*(o + 1)
Factor h**4 + 100*h**3 + 196*h**2.
h**2*(h + 2)*(h + 98)
Solve 4*a**2/13 - 682*a/13 + 340/13 = 0.
1/2, 170
Determine s so that s**5 + 34*s**4 - 269*s**3 + 718*s**2 - 812*s + 328 = 0.
-41, 1, 2
Solve -25*b**2 + 80*b + 105 = 0 for b.
-1, 21/5
Factor 4*h**3/5 + 6*h**2/5 - 80*h + 198/5.
2*(h - 9)*(h + 11)*(2*h - 1)/5
Factor 3*c**2/2 - 9*c + 27/2.
3*(c - 3)**2/2
Factor -6*a**3/5 - 348*a**2/5 - 5178*a/5 - 4836/5.
-6*(a + 1)*(a + 26)*(a + 31)/5
What is w in w**2 - 249*w + 738 = 0?
3, 246
Factor -5*b**2 