k**2 + 688*k + 690 = 0. What is k?
-1, 345
What is u in -2*u**3/9 + 14*u**2/9 - 22*u/9 + 10/9 = 0?
1, 5
Factor 3*b**3/4 - 9*b**2/2 - 3*b/4 + 9/2.
3*(b - 6)*(b - 1)*(b + 1)/4
Let -9*j**4/4 + 87*j**3/4 - 93*j**2/2 - 18*j = 0. What is j?
-1/3, 0, 4, 6
Let -n**4/3 - 2*n**3/3 + 4*n**2/3 + 2*n/3 - 1 = 0. Calculate n.
-3, -1, 1
Determine v so that 3*v**4/7 + 474*v**3/7 + 1383*v**2/7 - 1860*v/7 = 0.
-155, -4, 0, 1
Factor 9*p**3/5 - 76*p**2 + 4053*p/5 - 882/5.
(p - 21)**2*(9*p - 2)/5
Factor -2*t**2/5 - 34*t/5 - 28.
-2*(t + 7)*(t + 10)/5
Solve -2*s**2/15 - 32*s/15 + 34/15 = 0.
-17, 1
Factor 3*u**4 - 2982*u**3 + 741027*u**2.
3*u**2*(u - 497)**2
Find q, given that -625*q**5 - 5500*q**4 - 8550*q**3 - 4860*q**2 - 945*q = 0.
-7, -3/5, 0
Factor -5*c**3 - 15*c**2 + 20.
-5*(c - 1)*(c + 2)**2
Suppose s**4 + 68*s**3/3 + 217*s**2/3 + 148*s/3 - 76/3 = 0. What is s?
-19, -2, 1/3
Factor -g**5/9 + 2*g**3/9 - g/9.
-g*(g - 1)**2*(g + 1)**2/9
Factor -2*p**3 - 170*p**2 - 4400*p - 36000.
-2*(p + 20)**2*(p + 45)
Factor 4*c**2 + 1376*c + 4092.
4*(c + 3)*(c + 341)
Suppose 3*a**3/5 + 18*a**2/5 - 81*a + 240 = 0. Calculate a.
-16, 5
Factor 5*v**4 - 165*v**3 + 825*v**2 + 2165*v + 1170.
5*(v - 26)*(v - 9)*(v + 1)**2
Factor 5*u**2 + 300*u - 5180.
5*(u - 14)*(u + 74)
Factor 2*m**3/3 - 34*m**2/3.
2*m**2*(m - 17)/3
Factor -2*i**3/3 + 16*i**2/9 + 22*i/3 + 20/9.
-2*(i - 5)*(i + 2)*(3*i + 1)/9
Find u such that -11*u**5/8 + 5*u**4/2 - 7*u**3/8 - u**2/4 = 0.
-2/11, 0, 1
Solve 2*y**4 - 954*y**3/5 + 30144*y**2/5 - 309248*y/5 - 196608/5 = 0.
-3/5, 32
Find b such that 3*b**4 - 39*b**3 + 183*b**2 - 369*b + 270 = 0.
2, 3, 5
Find b such that 69*b**3 - 696*b**2 + 1716*b - 144 = 0.
2/23, 4, 6
Determine t, given that 4*t**4/15 - 18*t**3/5 + 48*t**2/5 - 34*t/15 - 4 = 0.
-1/2, 1, 3, 10
Factor l**2/9 - 2284*l/3 + 1304164.
(l - 3426)**2/9
Determine k so that 5*k**3 - 555*k**2 - 2300*k = 0.
-4, 0, 115
What is h in 5*h**2 + 5*h - 30 = 0?
-3, 2
Factor 3*m**2 + 52992*m + 234012672.
3*(m + 8832)**2
Suppose 5*d**2 + 420*d - 1760 = 0. What is d?
-88, 4
Factor -2*h**2/15 - 26*h/5 + 164/15.
-2*(h - 2)*(h + 41)/15
Factor -4*f**2 + 8*f.
-4*f*(f - 2)
Let -6*d**2 + 322*d + 108 = 0. What is d?
-1/3, 54
Let 2*z**4 + 52*z**3 + 210*z**2 = 0. What is z?
-21, -5, 0
Let 2*h**5 + 6*h**4 + 4*h**3 - 4*h**2 - 6*h - 2 = 0. Calculate h.
-1, 1
Determine s so that -s**2/8 + 5*s/4 - 2 = 0.
2, 8
Factor 2*u**2 + 216*u + 3654.
2*(u + 21)*(u + 87)
What is i in i**2/2 - 8552*i + 36568352 = 0?
8552
Determine b, given that 36*b**4/5 + 39*b**3 + 57*b**2 + 12*b - 36/5 = 0.
-3, -2, -2/3, 1/4
Factor -4*o**3/5 - 4*o**2/5 + 8*o/5.
-4*o*(o - 1)*(o + 2)/5
What is y in 5*y**2 - 1455*y + 2890 = 0?
2, 289
Factor -2*f**2 + 32*f - 96.
-2*(f - 12)*(f - 4)
What is p in -3*p**3 + 51*p**2 + 174*p + 120 = 0?
-2, -1, 20
Factor -15129*c**2/10 + 123*c - 5/2.
-(123*c - 5)**2/10
Factor -2*d**2/5 + 304*d - 57760.
-2*(d - 380)**2/5
Suppose 3*b**4 + 6*b**3 - 21*b**2 + 12*b = 0. Calculate b.
-4, 0, 1
Find v such that v**4/10 + 2*v**3/5 - 221*v**2/10 = 0.
-17, 0, 13
Suppose 36*k**5 + 2001*k**4 + 3042*k**3 - 1956*k**2 - 648*k = 0. Calculate k.
-54, -2, -1/4, 0, 2/3
Solve 2*w**2 + 2484*w + 771282 = 0 for w.
-621
Determine g so that 2*g**3 - 42*g**2 + 196*g + 240 = 0.
-1, 10, 12
Find l, given that -l**5/9 + 79*l**4/9 - 1520*l**3/9 - 1600*l**2/9 = 0.
-1, 0, 40
Let 2*l**4/19 + 220*l**3/19 - 1142*l**2/19 + 920*l/19 = 0. What is l?
-115, 0, 1, 4
Suppose -2*r**3/9 + 32*r**2/3 - 56*r = 0. Calculate r.
0, 6, 42
Solve o**5/5 + 4*o**4/5 + o**3/5 - 6*o**2/5 = 0.
-3, -2, 0, 1
Suppose -2*m**5/7 - 44*m**4/7 + 104*m**3/7 + 188*m**2/7 - 102*m/7 - 144/7 = 0. What is m?
-24, -1, 1, 3
Suppose s**2/4 + 123*s/2 + 729/4 = 0. Calculate s.
-243, -3
Solve q**2/6 + 4120*q/3 + 8487200/3 = 0.
-4120
Determine b so that -b**2 - 478*b - 57121 = 0.
-239
Find r, given that -2*r**2/13 + 48*r/13 - 160/13 = 0.
4, 20
Solve -12*c**5/5 - 38*c**4/5 + 66*c**3/5 + 348*c**2/5 + 344*c/5 + 48/5 = 0.
-2, -1/6, 3
Let 2*u**4/5 + 36*u**3/5 - 126*u**2/5 = 0. What is u?
-21, 0, 3
Solve -9*g**3 + 1392*g**2 + 1868*g + 624 = 0 for g.
-2/3, 156
Factor 162*a**3 + 7686*a**2 + 87200*a - 95048.
2*(a - 1)*(9*a + 218)**2
Solve 2*s**3/11 + 62*s**2/11 - 130*s/11 + 6 = 0 for s.
-33, 1
Suppose -2*n**3 + 34*n**2 + 76*n = 0. What is n?
-2, 0, 19
Determine q so that -q**4/2 + 7*q**3/2 + 27*q**2/2 + 29*q/2 + 5 = 0.
-1, 10
Factor -3*z**3 - 66*z**2 - 387*z - 324.
-3*(z + 1)*(z + 9)*(z + 12)
Factor -d**3 - 33*d**2 + 69*d - 35.
-(d - 1)**2*(d + 35)
Factor n**5/3 - 23*n**4/3 - 34*n**3 - 158*n**2/3 - 107*n/3 - 9.
(n - 27)*(n + 1)**4/3
Let 3*f**5 - 9*f**3 - 6*f**2 = 0. What is f?
-1, 0, 2
Solve -2*b**5/13 - 6*b**4/13 + 16*b**3/13 + 24*b**2/13 - 32*b/13 = 0 for b.
-4, -2, 0, 1, 2
Factor -t**4/3 + 3*t**3.
-t**3*(t - 9)/3
Factor -2*c**3/3 - 98*c**2/3 + 418*c/3 - 106.
-2*(c - 3)*(c - 1)*(c + 53)/3
Factor 4*d**5 - 8*d**4 + 8*d**2 - 4*d.
4*d*(d - 1)**3*(d + 1)
Factor -5*w**3 + 340*w**2 + 6400*w + 26880.
-5*(w - 84)*(w + 8)**2
Factor j**2/10 + 11*j/5 + 121/10.
(j + 11)**2/10
Factor -o**2/4 + 87*o.
-o*(o - 348)/4
Let -s**5 + s**4 + 3*s**3 - 5*s**2 + 2*s = 0. Calculate s.
-2, 0, 1
Factor -y**4/3 + 11*y**3 - 30*y**2 - 4*y/3 + 40.
-(y - 30)*(y - 2)**2*(y + 1)/3
Factor -17*r**2/4 - 107*r/4 + 21.
-(r + 7)*(17*r - 12)/4
Find r such that 3*r**4 + 169*r**3 + 2406*r**2 + 672*r - 1568 = 0.
-28, -1, 2/3
Suppose -27*t**3/2 + 195*t**2/2 - 102*t + 18 = 0. What is t?
2/9, 1, 6
Factor -5*h**4 + 15*h**3 - 10*h**2.
-5*h**2*(h - 2)*(h - 1)
Solve 13*w**4/4 - 33*w**3 + 137*w**2/4 - 9*w/2 = 0 for w.
0, 2/13, 1, 9
What is c in c**3 - 19*c**2 + 16*c + 36 = 0?
-1, 2, 18
Factor -2*c**5/11 + 4*c**4/11 - 4*c**2/11 + 2*c/11.
-2*c*(c - 1)**3*(c + 1)/11
Factor 2*r**2/7 + 808*r/7 - 232.
2*(r - 2)*(r + 406)/7
Determine k, given that -k**2 - 502*k - 63001 = 0.
-251
Suppose 3*z**4 - 609*z**3 + 39690*z**2 - 720300*z - 7203000 = 0. What is z?
-7, 70
Determine r so that -4*r**3 + 72*r**2 + 160*r = 0.
-2, 0, 20
Solve 234*j**3 - 2167*j**2 + 551*j - 18 = 0 for j.
1/26, 2/9, 9
Factor -w**4/5 + 9*w**3/5.
-w**3*(w - 9)/5
Let -a**4/6 - 874*a**3/3 = 0. What is a?
-1748, 0
Determine x, given that 3*x**4 + 627*x**3 + 32439*x**2 - 34335*x - 66150 = 0.
-105, -1, 2
Solve 4*w**3 + 54*w**2 - 226*w + 204 = 0 for w.
-17, 3/2, 2
Factor 10*q**3 - 28*q**2 - 6*q.
2*q*(q - 3)*(5*q + 1)
Factor 22*o**2 + 818*o + 148.
2*(o + 37)*(11*o + 2)
Find w, given that 33*w**2 - 375*w - 1800 = 0.
-40/11, 15
Factor -3*n**3 + 18*n**2 + 48*n.
-3*n*(n - 8)*(n + 2)
Let 3*r**2 + 612*r + 31212 = 0. What is r?
-102
Find u such that 15*u**5/7 + 69*u**4/7 + 90*u**3/7 + 12*u**2/7 - 24*u/7 = 0.
-2, -1, 0, 2/5
Solve 2*c**4/9 - 2*c**3/3 - 92*c**2/9 + 32*c/3 = 0.
-6, 0, 1, 8
Factor 3*q**4 + 6*q**3 - 39*q**2 + 30*q.
3*q*(q - 2)*(q - 1)*(q + 5)
Factor 4*g**2 - 1312*g + 5184.
4*(g - 324)*(g - 4)
Factor 3*h**2/5 + 168*h/5 + 2352/5.
3*(h + 28)**2/5
Solve s**3 - 25*s**2 + 123*s - 171 = 0 for s.
3, 19
Factor -5*i**5 - 95*i**4 + 315*i**3 - 325*i**2 + 110*i.
-5*i*(i - 1)**3*(i + 22)
Suppose 15*h**3 + 430*h**2 - 1115*h - 930 = 0. Calculate h.
-31, -2/3, 3
What is a in 2*a**5/3 + 74*a**4/3 + 788*a**3/3 + 1940*a**2/3 + 1802*a/3 + 578/3 = 0?
-17, -1
Let -2*c**2/3 + 38*c/3 + 40/3 = 0. Calculate c.
-1, 20
Solve 2*c**2/9 - 10*c/3 + 88/9 = 0 for c.
4, 11
Let -4*f**5/7 - 5*f**4/7 - f**3/7 = 0. Calculate f.
-1, -1/4, 0
Factor a**3/5 - 23*a**2/5 + 43*a/5 - 21/5.
(a - 21)*(a - 1)**2/5
What is j in j**2/4 + 75*j/2 + 1529/4 = 0?
-139, -11
Factor 2*n**4 + 8*n**3 + 10*n**2 + 4*n.
2*n*(n + 1)**2*(n + 2)
What is n in -4*n**2 - 692*n = 0?
-173, 0
Let -5*n**2 + 18100*n - 16380500 = 0. Calculate n.
1810
Factor d**2/8 + 34*d + 2312.
(d + 136)**2/8
Factor -k**3 + 61*k**2 - 960*k + 900.
-(k - 30)**2*(k - 1)
Suppose -28*r**5/3 + 568*r**4/3 - 44*r**3 - 568*r**2/3 + 160*r/3 = 0. What is r?
-1, 0, 2/7, 1, 20
Suppose -2*t**2/15 - 46*t/15 - 44/15 = 0. What is t?
-22, -1
Let -9*a**5 + 69*a**4 - 87*a**3 - 33*a**2 + 96*a - 36 = 0. Calculate a.
-1, 2/3, 1, 6
Factor 3*t**3/8 + 15*t**2/2 - 441*t/8 + 351/4.
3*(t - 3)**2*(t + 26)/8
Determine g so that g**3/3 + 10*g**2/3 - 89*g/3 - 70 = 0.
-15, -2, 7
Factor -5*l**4 + 100*l**3 + 585*l**2 + 980*l + 500.
-5*(l - 25)*(l + 1)*(l + 2)**2
Solve -87*g**3 + 714*g**2 - 1449*g + 270 = 0 for g.
6/29, 3, 5
Let 3*f**3 + 42*f**2 + 72*f = 0. Cal