*(n + 1)*(10*n + 33)/4
Factor 3*j**3 + 33*j**2.
3*j**2*(j + 11)
What is m in 8*m**3/7 - 78*m**2/7 - 20*m/7 = 0?
-1/4, 0, 10
Factor -45*v**3 + 1315*v**2 - 1550*v + 280.
-5*(v - 28)*(v - 1)*(9*v - 2)
Determine q, given that -5*q**2 + 510*q + 515 = 0.
-1, 103
Factor -5*n**3 - 265*n**2 - 1455*n - 2115.
-5*(n + 3)**2*(n + 47)
Determine n so that -6*n**3/7 + 18*n**2/7 - 18*n/7 + 6/7 = 0.
1
Factor 392498*n**2/7 + 17720*n/7 + 200/7.
2*(443*n + 10)**2/7
Let -2*t**4 + 3*t**3 + 2*t**2 - 3*t = 0. Calculate t.
-1, 0, 1, 3/2
Factor 2*m**3 + 964*m**2 - 1936*m.
2*m*(m - 2)*(m + 484)
Factor 4*f**3/9 + 767*f**2/9 + 572*f/9 - 191/9.
(f + 1)*(f + 191)*(4*f - 1)/9
Find z, given that 5*z**3 + 50*z**2 + 120*z = 0.
-6, -4, 0
Let 21*i**5 - 209*i**4 + 746*i**3 - 1098*i**2 + 513*i + 27 = 0. What is i?
-1/21, 1, 3
Let 5*d**2 + 1005*d + 4900 = 0. Calculate d.
-196, -5
Solve -t**3/2 + 3755*t**2/2 - 3526883*t/2 + 3523129/2 = 0 for t.
1, 1877
Factor -4*b**2/5 + 208*b/5 - 2704/5.
-4*(b - 26)**2/5
Let -18*x**5/11 + 222*x**4/11 - 932*x**3/11 + 1512*x**2/11 - 784*x/11 = 0. What is x?
0, 1, 2, 14/3
Let -3*d**3/7 + 207*d**2/7 - 594*d/7 = 0. What is d?
0, 3, 66
Let 2*o**3 + 52*o**2 + 98*o + 48 = 0. What is o?
-24, -1
Let h**2 - 5*h + 4 = 0. What is h?
1, 4
Factor j**2/2 - 769*j/2 - 385.
(j - 770)*(j + 1)/2
Factor -x**4/5 - x**3/5 + 2*x**2/5.
-x**2*(x - 1)*(x + 2)/5
Solve 4*m**4 + 136*m**3 + 1584*m**2 + 6776*m + 5324 = 0 for m.
-11, -1
Solve 2*d**5 + 26*d**4 + 118*d**3 + 190*d**2 - 48*d - 288 = 0 for d.
-4, -3, 1
What is c in 2*c**3/3 + 70*c**2 - 142*c + 214/3 = 0?
-107, 1
Factor -o**3 + 52*o**2 - 461*o + 410.
-(o - 41)*(o - 10)*(o - 1)
Determine d so that -2*d**3/23 - 88*d**2/23 + 2*d/23 + 88/23 = 0.
-44, -1, 1
Factor -k**2/2 + 21*k/2.
-k*(k - 21)/2
Factor 8*u**3/7 + 30*u**2/7 + 24*u/7 - 8/7.
2*(u + 2)**2*(4*u - 1)/7
Factor j**2 - 1564*j + 611524.
(j - 782)**2
Factor -r**5/7 - 6*r**4/7 + 24*r**3/7 - 26*r**2/7 + 9*r/7.
-r*(r - 1)**3*(r + 9)/7
Suppose 4*s**2 - 58*s - 96 = 0. Calculate s.
-3/2, 16
Solve -f**3/4 - 3*f**2/4 - f/2 = 0.
-2, -1, 0
Find n such that -5*n**2 + 505*n - 990 = 0.
2, 99
Factor -3*q**2 + 3723*q.
-3*q*(q - 1241)
Factor -s**3 + 5*s**2 - 7*s + 3.
-(s - 3)*(s - 1)**2
Factor 2*z**3 + 148*z**2 + 430*z + 284.
2*(z + 1)*(z + 2)*(z + 71)
Determine l so that 2*l**5/13 - 46*l**4/13 + 60*l**3/13 + 2268*l**2/13 + 6210*l/13 + 4050/13 = 0.
-3, -1, 15
What is h in h**4/3 - 2*h**3 - 21*h**2 - 36*h = 0?
-3, 0, 12
Suppose 4*d**4 + 96*d**3 + 668*d**2 + 1104*d - 1872 = 0. Calculate d.
-13, -6, 1
Factor 3*v**3 - 805*v**2 + 2653*v - 795.
(v - 265)*(v - 3)*(3*v - 1)
Solve 13*o**4 + 18*o**3 - 81*o**2 - 38*o + 48 = 0 for o.
-3, -1, 8/13, 2
Factor -5*r**2/2 - 177*r/2 - 35.
-(r + 35)*(5*r + 2)/2
Let 2*i**4/3 - 2*i**3/3 - 2*i**2/3 + 2*i/3 = 0. What is i?
-1, 0, 1
Factor 2*d**2/11 - 596*d/11 + 44402/11.
2*(d - 149)**2/11
Let -28*y**2 + 596*y - 168 = 0. Calculate y.
2/7, 21
Factor 4*y**2 - 128*y + 768.
4*(y - 24)*(y - 8)
Find n, given that 62*n**3/9 - 500*n**2/9 - 526*n/9 + 4 = 0.
-1, 2/31, 9
Let n**3/5 - 17*n**2 + 166*n/5 = 0. Calculate n.
0, 2, 83
Solve -4*d**3 + 300*d**2 - 1376*d - 1680 = 0 for d.
-1, 6, 70
Factor k**3/4 + 2*k**2 - 75*k/4 + 63/2.
(k - 3)**2*(k + 14)/4
Let 4*h**2 + 84*h - 184 = 0. What is h?
-23, 2
Find w, given that -w**3 + 101*w**2 + 524*w + 636 = 0.
-3, -2, 106
Determine h, given that h**5 + 185*h**4 + 12154*h**3 + 323874*h**2 + 2719413*h + 2407509 = 0.
-57, -13, -1
Let l**2/2 + l + 1/2 = 0. Calculate l.
-1
Find t, given that -21*t**5/5 - 30*t**4 - 378*t**3/5 - 408*t**2/5 - 177*t/5 - 18/5 = 0.
-3, -2, -1, -1/7
Determine c, given that 20*c**3 + 188*c**2 - 600*c + 288 = 0.
-12, 3/5, 2
Solve 3*k**4/8 - 21*k**3/4 + 45*k**2/2 - 27*k = 0.
0, 2, 6
Factor -3*t**3/4 - 9*t**2/4 + 810*t + 11100.
-3*(t - 37)*(t + 20)**2/4
Factor -5*f**2 + 425*f + 1780.
-5*(f - 89)*(f + 4)
Let -3*m**3 + 45*m**2 - 189*m + 147 = 0. Calculate m.
1, 7
Solve -9*a**3 - 49*a**2 - 56*a - 16 = 0 for a.
-4, -1, -4/9
Suppose l**3/5 + 3*l**2/5 - l/5 - 3/5 = 0. Calculate l.
-3, -1, 1
Let 4*j**5 + 32*j**4 - 204*j**3 - 1240*j**2 + 2944*j - 1536 = 0. What is j?
-8, 1, 6
Factor -14*b**3 + 229*b**2 - 79*b - 16.
-(b - 16)*(2*b - 1)*(7*b + 1)
Let 27*s**4/2 - 51*s**3 + 42*s**2 + 12*s = 0. What is s?
-2/9, 0, 2
Factor 4*a**4 - 27*a**3 + 53*a**2 - 21*a - 9.
(a - 3)**2*(a - 1)*(4*a + 1)
Find o, given that 2*o**5 + 14*o**4 + 36*o**3 + 40*o**2 + 16*o = 0.
-2, -1, 0
Suppose 10*m**5 + 6*m**4 - 24*m**3 + 8*m**2 = 0. Calculate m.
-2, 0, 2/5, 1
Factor 2*f**5/3 - 4*f**4 + 6*f**3.
2*f**3*(f - 3)**2/3
Factor 4*l**2 + 392*l + 4128.
4*(l + 12)*(l + 86)
Suppose -2*m**4/5 - 18*m**3/5 - 56*m**2/5 - 72*m/5 - 32/5 = 0. What is m?
-4, -2, -1
Find l such that -2*l**5/15 + 14*l**3/15 - 4*l**2/5 = 0.
-3, 0, 1, 2
Factor -2*r**2/5 - 218*r + 1092/5.
-2*(r - 1)*(r + 546)/5
Find v, given that 5*v**5/4 + 15*v**4/4 - 5*v**3/2 - 15*v**2 - 10*v = 0.
-2, -1, 0, 2
Factor 2*l**3/13 + 382*l**2/13 - 2*l/13 - 382/13.
2*(l - 1)*(l + 1)*(l + 191)/13
Suppose 2*x**2/13 - 342*x/13 + 52 = 0. Calculate x.
2, 169
Factor -2*q**2/7 - 24*q/7 + 26/7.
-2*(q - 1)*(q + 13)/7
Factor x**4/3 + 3*x**3 - 4*x**2 - 20*x/3.
x*(x - 2)*(x + 1)*(x + 10)/3
Solve -x**4 - 192*x**3 + 199*x**2 + 1158*x = 0 for x.
-193, -2, 0, 3
Factor 36*n**5 + 68*n**4 + 28*n**3 - 4*n**2.
4*n**2*(n + 1)**2*(9*n - 1)
Determine s so that -5*s**4 + 750*s**3 - 27365*s**2 - 57000*s - 28880 = 0.
-1, 76
Suppose 4*d**5/3 - 52*d**4/3 - d**3 + 38*d**2/3 + 13*d/3 = 0. Calculate d.
-1/2, 0, 1, 13
Determine c so that 4*c**5 - 12*c**4 - 88*c**3 + 224*c**2 + 384*c - 512 = 0.
-4, -2, 1, 4
Factor 3*j**2/4 - 171*j/4 + 243/2.
3*(j - 54)*(j - 3)/4
Find h such that h**2/6 + 25*h/6 - 13/3 = 0.
-26, 1
Factor -4*c**4 + 4*c**3 + 8*c**2.
-4*c**2*(c - 2)*(c + 1)
Find y, given that -8*y**5/13 + 6*y**4/13 + 42*y**3/13 + 34*y**2/13 + 6*y/13 = 0.
-1, -1/4, 0, 3
Suppose -2*f**2/3 + 24*f + 78 = 0. What is f?
-3, 39
Let -5*t**5 - 160*t**4 - 1715*t**3 - 6600*t**2 - 5040*t = 0. What is t?
-12, -7, -1, 0
Solve -3*l**2/2 + 30*l - 96 = 0 for l.
4, 16
Determine t, given that -2*t**4/15 - 18*t**3/5 - 148*t**2/15 - 32*t/5 = 0.
-24, -2, -1, 0
Solve -50*u**5/13 - 320*u**4/13 - 44*u**3 - 392*u**2/13 - 98*u/13 - 8/13 = 0.
-4, -1, -1/5
Factor 5*k**2 - 150*k - 155.
5*(k - 31)*(k + 1)
What is l in -45*l**3/11 - 251*l**2/11 - 122*l/11 + 40/11 = 0?
-5, -4/5, 2/9
Let 4*u**3 - 5060*u**2 + 1597692*u + 1602756 = 0. Calculate u.
-1, 633
Suppose -3*o**2/7 + 15*o/7 + 108/7 = 0. Calculate o.
-4, 9
Find z, given that 9*z**4 - 15*z**3 + 7*z**2 - z = 0.
0, 1/3, 1
Factor 2*d**4 + 91*d**3 - 46*d**2.
d**2*(d + 46)*(2*d - 1)
Solve 3*i**4/5 + 9*i**3/5 + 6*i**2/5 = 0.
-2, -1, 0
Factor 2*z**2/7 + 1150*z/7 - 1152/7.
2*(z - 1)*(z + 576)/7
Factor -w**3 - 51*w**2 - 279*w - 405.
-(w + 3)**2*(w + 45)
Solve -3*x**5 + 43*x**4/4 + 43*x**3/2 - 13*x/2 + 5/4 = 0 for x.
-1, 1/4, 1/3, 5
Factor c**4/7 + 2*c**3/7 - 8*c**2/7 - 18*c/7 - 9/7.
(c - 3)*(c + 1)**2*(c + 3)/7
Suppose p**2/2 - 43*p - 88 = 0. Calculate p.
-2, 88
Determine n so that -2*n**5/7 - 10*n**4/7 + 46*n**3/7 - 22*n**2/7 - 44*n/7 + 32/7 = 0.
-8, -1, 1, 2
What is t in 10*t**3 - 555*t**2 - 865*t + 570 = 0?
-2, 1/2, 57
Solve f**2/6 - 11*f/2 - 95/3 = 0 for f.
-5, 38
Solve 3*m**3 - 9*m**2 - 12*m + 36 = 0 for m.
-2, 2, 3
Factor -41*l**3 + 245*l**2/2 - 161*l/2 - 1.
-(l - 2)*(l - 1)*(82*l + 1)/2
Factor -6*t**3 + 32*t**2 - 46*t + 12.
-2*(t - 3)*(t - 2)*(3*t - 1)
Let -2*d**4 - 2*d**3 + 6*d**2 + 2*d - 4 = 0. What is d?
-2, -1, 1
Suppose 2*u**3 + 326*u**2 + 1280*u + 1272 = 0. Calculate u.
-159, -2
Determine b so that -5*b**5 - 225*b**4 - 2850*b**3 - 7250*b**2 - 6825*b - 2205 = 0.
-21, -1
Factor -t**3/3 + 94*t**2/3 - 121*t + 90.
-(t - 90)*(t - 3)*(t - 1)/3
Solve -4*c**4/7 - 44*c**3/7 - 108*c**2/7 - 100*c/7 - 32/7 = 0.
-8, -1
Find d, given that -d**5/7 + 7*d**4 + 377*d**3/7 + 831*d**2/7 + 72*d = 0.
-3, -1, 0, 56
Determine y, given that 2*y**2/9 + 4*y/9 = 0.
-2, 0
Factor -169*n**4 + 52*n**3 + 672*n**2 - 208*n + 16.
-(n - 2)*(n + 2)*(13*n - 2)**2
Factor 2*c**3/7 + 44*c**2/7 + 82*c/7 + 40/7.
2*(c + 1)**2*(c + 20)/7
Factor 150*q**5 + 490*q**4 + 1718*q**3/3 + 278*q**2 + 48*q + 8/3.
2*(q + 1)**3*(15*q + 2)**2/3
Determine d, given that -d**4/6 + 107*d**3/3 - 279*d**2/2 - 108*d + 630 = 0.
-2, 3, 210
Solve -x**3/2 - 55*x**2/2 + 61*x + 228 = 0.
-5