/4 - 621*k**2/4 + 623*k/4 - 52 = 0.
-208, 1
Suppose -2*u**4/3 - 14*u**3/3 + 38*u**2/3 + 14*u/3 - 12 = 0. Calculate u.
-9, -1, 1, 2
Let -3*n**2/2 - 826*n - 550 = 0. What is n?
-550, -2/3
Solve 3*m**4 - 78*m**3 - 3*m**2 + 78*m = 0.
-1, 0, 1, 26
Factor 3*u**4/5 + 234*u**3 + 115239*u**2/5 + 45396*u + 112908/5.
3*(u + 1)**2*(u + 194)**2/5
What is o in o**5/2 - 3*o**4 - 4*o**3 + 3*o**2 + 7*o/2 = 0?
-1, 0, 1, 7
Find b, given that -2*b**3/5 - 596*b**2/5 - 1762*b/5 + 472 = 0.
-295, -4, 1
Solve -2*x**4/13 - 504*x**3/13 - 45600*x**2/13 - 1709696*x/13 - 21070848/13 = 0 for x.
-76, -24
Factor 2*a**4 - 8*a**3 - 600*a**2 - 3968*a - 5632.
2*(a - 22)*(a + 2)*(a + 8)**2
Solve -3*w**5 + 9*w**4 + 402*w**3 - 1944*w**2 - 3072*w + 4608 = 0 for w.
-12, -2, 1, 8
Find h such that h**4/9 + 8*h**3/9 + 17*h**2/9 - 2*h/9 - 8/3 = 0.
-4, -3, -2, 1
Factor q**3/2 - 3*q**2 - 2511*q/2 + 26908.
(q - 31)**2*(q + 56)/2
Find n such that -5*n**4 - 45*n**3 + 200*n**2 + 240*n = 0.
-12, -1, 0, 4
Determine h, given that 4*h**2 - 216*h - 1180 = 0.
-5, 59
Factor 15*d**3 - 250*d**2 - 695*d + 570.
5*(d - 19)*(d + 3)*(3*d - 2)
Let b**5 + 16*b**4 + 29*b**3 + 14*b**2 = 0. What is b?
-14, -1, 0
Factor k**3/2 - 45*k**2/2 + 216*k + 864.
(k - 24)**2*(k + 3)/2
Factor 3*x**2 - 60*x + 297.
3*(x - 11)*(x - 9)
Factor 2*y**2 + 736*y + 1464.
2*(y + 2)*(y + 366)
Let 30*c**2 - 1655*c + 275 = 0. What is c?
1/6, 55
Find c, given that 2*c**2/3 + 4*c/3 - 16/3 = 0.
-4, 2
What is p in -5*p**2 - 2120*p = 0?
-424, 0
Factor -o**4 + 230*o**3 - 13225*o**2.
-o**2*(o - 115)**2
Factor 2*i**2/11 + 21364*i/11 + 57052562/11.
2*(i + 5341)**2/11
Solve 10*i**5/9 - 16*i**4/9 - 88*i**3/9 + 148*i**2/9 - 2*i - 4 = 0.
-3, -2/5, 1, 3
Let -x**2/3 - 143*x/3 + 48 = 0. What is x?
-144, 1
Factor -l**3/3 - 95*l**2/3 - 504*l + 12636.
-(l - 13)*(l + 54)**2/3
Determine q so that -q**5 - 6*q**4 - 13*q**3 - 12*q**2 - 4*q = 0.
-2, -1, 0
Let b**5/3 - 17*b**4/3 - 8*b**3/3 + 136*b**2/3 + 16*b/3 - 272/3 = 0. What is b?
-2, 2, 17
Let 5*u**3 - 100*u**2 = 0. Calculate u.
0, 20
Factor 15*c**2 + 861*c + 342.
3*(c + 57)*(5*c + 2)
Find n such that -n**3 + 2*n**2 = 0.
0, 2
Let -4*g**2/7 - 2*g - 12/7 = 0. What is g?
-2, -3/2
Factor -390625*j**3/4 - 388125*j**2/4 + 624*j - 1.
-(j + 1)*(625*j - 2)**2/4
Factor -f**3 + 33*f**2 - 32*f.
-f*(f - 32)*(f - 1)
Let p**3/4 - 5019*p**2/4 + 8396787*p/4 - 4682608217/4 = 0. What is p?
1673
Factor g**5/4 + 40*g**4 + 1600*g**3.
g**3*(g + 80)**2/4
Suppose 6*i**5/5 + 9*i**4/5 - 9*i**3/5 - 21*i**2/5 - 9*i/5 = 0. What is i?
-1, 0, 3/2
Determine u, given that -3*u**5 + 30*u**4 - 81*u**3 + 42*u**2 + 84*u - 72 = 0.
-1, 1, 2, 6
Solve 2*j**5/5 + 334*j**4/5 + 654*j**3/5 - 998*j**2/5 - 1312*j/5 + 264 = 0 for j.
-165, -2, 1
Suppose -5*v**4 + 10*v**3 + 60*v**2 + 70*v + 25 = 0. Calculate v.
-1, 5
What is q in -4*q**2 - 148*q - 528 = 0?
-33, -4
Factor 2*a**2 - 12*a - 864.
2*(a - 24)*(a + 18)
Suppose 3*k**5 + 246*k**4 + 720*k**3 + 714*k**2 + 237*k = 0. What is k?
-79, -1, 0
Let -2*f**2/7 + 44*f/7 + 150/7 = 0. What is f?
-3, 25
Factor -3*y**3/7 + 528*y**2/7 + 1068*y/7.
-3*y*(y - 178)*(y + 2)/7
Factor 14*r**4 + 10*r**3 - 24*r**2.
2*r**2*(r - 1)*(7*r + 12)
Factor 2*k**3/15 + 46*k**2/15 + 124*k/15 + 16/3.
2*(k + 1)*(k + 2)*(k + 20)/15
Suppose 2*o**5 + 18*o**4 + 48*o**3 + 40*o**2 = 0. Calculate o.
-5, -2, 0
Find h, given that -h**4/6 - 2*h**3 - 35*h**2/6 = 0.
-7, -5, 0
Factor -2*r**4/3 + 4*r**3/3 + 40*r**2/3 + 16*r.
-2*r*(r - 6)*(r + 2)**2/3
Factor -4*u**3 - 1372*u**2 + 2756*u - 1380.
-4*(u - 1)**2*(u + 345)
Factor -d**3 + 280*d**2 - 556*d.
-d*(d - 278)*(d - 2)
Factor -2*f**2/5 - 512*f/5 - 4446/5.
-2*(f + 9)*(f + 247)/5
Factor 13*x**3/2 - 87*x**2/2 + 25*x + 12.
(x - 6)*(x - 1)*(13*x + 4)/2
Factor n**2/5 - 117*n/5 - 238/5.
(n - 119)*(n + 2)/5
Solve 2*k**5 + 22*k**4 + 78*k**3 + 90*k**2 = 0.
-5, -3, 0
Determine w so that 3*w**3 + 27*w**2 + 72*w + 48 = 0.
-4, -1
Factor 5*l**4/4 - 20*l**3 + 145*l**2/4 - 35*l/2.
5*l*(l - 14)*(l - 1)**2/4
Let -1372*b**5 - 240296*b**4 - 10418128*b**3 + 9047840*b**2 - 2596352*b + 247808 = 0. Calculate b.
-88, 2/7
Factor -g**3/3 + 4*g**2/3 - g.
-g*(g - 3)*(g - 1)/3
Solve -3*o**4 - 294*o**3 - 9504*o**2 - 98010*o + 107811 = 0.
-33, 1
Let 2*n**4 + 12*n**3 - 44*n + 30 = 0. What is n?
-5, -3, 1
Factor -4*n**3 - 8*n**2 - 4*n.
-4*n*(n + 1)**2
Solve -2*c**3 + 268*c**2 - 3458*c + 11760 = 0 for c.
7, 120
Find s, given that 3*s**3/5 - 714*s**2/5 + 5568*s/5 - 2208 = 0.
4, 230
Factor 3*p**2/2 - 33*p - 69/2.
3*(p - 23)*(p + 1)/2
Factor -2*w**3/5 - 328*w**2/5 + 1336*w/5 - 1344/5.
-2*(w - 2)**2*(w + 168)/5
Determine o so that -2*o**2/9 + 46*o = 0.
0, 207
Solve -5*q**5 - 115*q**4 - 715*q**3 - 605*q**2 = 0.
-11, -1, 0
Solve -2*h**4/3 + 10*h**3/3 + 16*h**2/3 - 8*h = 0.
-2, 0, 1, 6
Factor 3*w**4 + 60*w**3 + 153*w**2 - 12*w - 204.
3*(w - 1)*(w + 2)**2*(w + 17)
Factor 3*w**2/4 - 3*w - 15/4.
3*(w - 5)*(w + 1)/4
Suppose 2*x**4/19 + 10*x**3 + 184*x**2/19 - 376*x/19 = 0. What is x?
-94, -2, 0, 1
Suppose h**4/4 + 2*h**3 + 3*h**2/2 - 2*h - 7/4 = 0. What is h?
-7, -1, 1
What is r in 2*r**2/9 - 8*r/3 - 26/9 = 0?
-1, 13
What is u in u**5/6 - u**4/6 - 19*u**3/6 - 11*u**2/6 + 5*u = 0?
-3, -2, 0, 1, 5
Factor -k**2/3 - k/3 + 2.
-(k - 2)*(k + 3)/3
Suppose -245*k**2 + 470*k + 40 = 0. What is k?
-4/49, 2
Determine o so that -o**3 - 8*o**2 + 155*o - 450 = 0.
-18, 5
Factor 2*u**4/3 + 5428*u**3/3 + 1636240*u**2 + 1477521100*u/3 - 1482435250/3.
2*(u - 1)*(u + 905)**3/3
Solve -2*m**2/5 + 56*m/5 = 0.
0, 28
Factor x**4/2 + 23*x**3/2 + 21*x**2/2 - 23*x/2 - 11.
(x - 1)*(x + 1)**2*(x + 22)/2
Factor -2*z**3/5 - 148*z**2/5 - 576*z - 5184/5.
-2*(z + 2)*(z + 36)**2/5
Factor -b**4/11 + 26*b**3/11 - 224*b**2/11 + 640*b/11.
-b*(b - 10)*(b - 8)**2/11
Suppose -5*g**3/4 - 169*g**2/2 + 481*g/4 - 69/2 = 0. What is g?
-69, 2/5, 1
Factor 2*c**4/3 + 266*c**3/3 - 270*c**2 + 814*c/3 - 272/3.
2*(c - 1)**3*(c + 136)/3
Factor m**3/3 + 20*m**2/3 + 17*m/3 - 38/3.
(m - 1)*(m + 2)*(m + 19)/3
What is x in -3*x**4 + 30*x**3 - 36*x**2 - 216*x = 0?
-2, 0, 6
Factor 10*q**2/7 - 104*q/7 + 40/7.
2*(q - 10)*(5*q - 2)/7
Factor 68*h**3 - 276*h**2 - 324*h + 20.
4*(h - 5)*(h + 1)*(17*h - 1)
Factor -2*w**3/7 + 36*w**2/7 + 270*w/7 - 5400/7.
-2*(w - 15)**2*(w + 12)/7
Let -32*h**3 - 76*h**2 - 44*h = 0. Calculate h.
-11/8, -1, 0
Suppose -3*l**4 - 36*l**3 - 30*l**2 + 36*l + 33 = 0. Calculate l.
-11, -1, 1
Let -2*t**3/5 - 6*t**2/5 + 2*t/5 + 6/5 = 0. What is t?
-3, -1, 1
Let 3*h**2 + 189*h = 0. What is h?
-63, 0
What is u in 5*u**4 + 25*u**3 - 60*u**2 - 220*u + 400 = 0?
-5, -4, 2
Factor 3*w**4/4 - 1215*w**3/2 + 164025*w**2 - 14762250*w.
3*w*(w - 270)**3/4
Solve -24*c**3/7 - 10*c**2/7 = 0 for c.
-5/12, 0
Suppose 5*v**3 - 1390*v**2 + 2760*v = 0. Calculate v.
0, 2, 276
Determine i, given that -2*i**5/3 + 130*i**4/3 + 500*i**3 = 0.
-10, 0, 75
Determine h, given that -h**3/5 + 44*h**2/5 + 91*h/5 + 46/5 = 0.
-1, 46
Suppose -d**2/5 + 56*d/5 - 208/5 = 0. What is d?
4, 52
Factor -2*n**2/7 - 96*n/7.
-2*n*(n + 48)/7
Factor -4*f**2 - 76*f - 72.
-4*(f + 1)*(f + 18)
Suppose 2*s**3/7 - 54*s**2/7 + 432*s/7 - 1080/7 = 0. What is s?
6, 15
Factor 2*d**2 + 8*d - 24.
2*(d - 2)*(d + 6)
Factor m**3/3 - 5*m**2 + 68*m/3 - 28.
(m - 7)*(m - 6)*(m - 2)/3
Factor -5*k**3 - 180*k**2 - 1620*k.
-5*k*(k + 18)**2
Find o, given that -12*o**4 - 9*o**3 + 36*o**2 + 3*o - 18 = 0.
-2, -3/4, 1
Solve x**2/8 - 11*x/4 + 121/8 = 0.
11
Determine b, given that -4*b**5/3 + 20*b**4/3 - 80*b**2/3 + 64*b/3 = 0.
-2, 0, 1, 2, 4
Let 2*n**2/3 - 22*n/3 - 52/3 = 0. Calculate n.
-2, 13
Factor -7*p**2/5 + 1282*p + 1832/5.
-(p - 916)*(7*p + 2)/5
Solve 2*p**5/7 - 2574*p**4/7 + 824316*p**3/7 + 2488412*p**2/7 + 2493570*p/7 + 832050/7 = 0 for p.
-1, 645
Factor 2*c**5 + 16*c**4 + 42*c**3 + 28*c**2 - 40*c - 48.
2*(c - 1)*(c + 2)**3*(c + 3)
Factor 2*r**2/5 + 26*r/5.
2*r*(r + 13)/5
Factor 2*m**2/15 - 218*m/15 + 428/15.
2*(m - 107)*(m - 2)/15
Let -3*p**4 - 960*p**3 - 81450*p**2 - 744000*p - 1801875 = 0. Calculate p.
-155, -5
Let -2*j**3 + 170*j**2 + 346*j + 174 = 0. Calculate j.
-1, 87
Let b**2/2 + 1162*b + 2323/2 = 0. What is b?
-2323, -1
Factor 5*o**3 - 45*o**2 + 115*o - 75.
5*(o - 5)*(o - 3)*(o - 1)
Factor -c**2/2 + 35*c/2 - 17.
-(c - 34)*(c - 1)/2
Find c, given that 2*c**3/9 + 38*c**2/9 + 128*c/9 + 40/3 = 0.
-15, -2
Factor -f**3/8 + 23*f**2/4 - 111*f/2 + 153.
-(f - 34)*(f 