at o**4/4 + 9*o**3/4 = 0.
-9, 0
Solve -4*q**2 - 264*q + 544 = 0 for q.
-68, 2
What is w in w**4/3 + 7*w**3/3 - w**2 - 23*w/3 - 14/3 = 0?
-7, -1, 2
Factor z**2/4 + 25*z/4 + 33/2.
(z + 3)*(z + 22)/4
Suppose p**2/4 + 11*p/4 + 15/2 = 0. Calculate p.
-6, -5
Factor 5*a**4 + 15*a**3 - 5*a**2 - 15*a.
5*a*(a - 1)*(a + 1)*(a + 3)
What is g in g**3/2 - 12*g**2 - 51*g/2 - 13 = 0?
-1, 26
Factor -3*k**3 + 11448*k**2 - 10909935*k - 21865686.
-3*(k - 1909)**2*(k + 2)
Determine c, given that -6*c**2/17 + 5404*c/17 - 3600/17 = 0.
2/3, 900
Factor -a**4 + 7*a**3 + 39*a**2 + 53*a + 22.
-(a - 11)*(a + 1)**2*(a + 2)
Suppose 27*o**4/4 + 12*o**3 - 30*o**2 - 48*o + 12 = 0. Calculate o.
-2, 2/9, 2
Determine k so that 4*k**5 + 261*k**4 + 4654*k**3 + 12729*k**2 + 3100*k - 11532 = 0.
-31, -2, 3/4
Solve 3*p**4/7 + 78*p**3/7 + 75*p**2/7 = 0 for p.
-25, -1, 0
Factor 4*a**2 - 152*a + 148.
4*(a - 37)*(a - 1)
Determine k, given that 27*k**5 + 60*k**4 - 123*k**3 - 192*k**2 - 36*k = 0.
-3, -1, -2/9, 0, 2
Suppose -123*n**2 - 1713*n/2 + 63/2 = 0. Calculate n.
-7, 3/82
What is u in u**3 - 6*u**2 + 11*u - 6 = 0?
1, 2, 3
Suppose 16*w**5/3 + 196*w**4/3 + 400*w**3/3 - 1256*w**2/3 + 448*w/3 + 196/3 = 0. Calculate w.
-7, -1/4, 1
Factor 3*g**3 + 81*g**2 - 360*g + 372.
3*(g - 2)**2*(g + 31)
Factor 3*l**3 + 36*l**2 - 297*l + 486.
3*(l - 3)**2*(l + 18)
Factor -2*l**5/15 - 2*l**4/3 - 2*l**3/5 + 6*l**2/5.
-2*l**2*(l - 1)*(l + 3)**2/15
Let 2*f**2/3 + 172*f/3 - 352/3 = 0. What is f?
-88, 2
Factor a**3/5 + 5*a**2 + 43*a/5 - 69/5.
(a - 1)*(a + 3)*(a + 23)/5
Factor 5*c**4 - 165*c**3 - 5*c**2 + 165*c.
5*c*(c - 33)*(c - 1)*(c + 1)
Determine o so that -4*o**4 + 32*o**3 - 8*o**2 - 128*o - 84 = 0.
-1, 3, 7
Factor x**3 - x**2 - 2*x.
x*(x - 2)*(x + 1)
Factor -5*s**2 + 270*s - 3645.
-5*(s - 27)**2
Factor -2*u**2 - 3976*u - 1976072.
-2*(u + 994)**2
Let c**2/4 - 1369*c/2 + 1874161/4 = 0. Calculate c.
1369
Factor -2*r**3 - 10*r**2 + 114*r - 198.
-2*(r - 3)**2*(r + 11)
Solve -4*d**5 - 216*d**4 - 4412*d**3 - 41048*d**2 - 157584*d - 120736 = 0.
-14, -11, -1
Factor -5*g**5 + 50*g**4 - 170*g**3 + 260*g**2 - 185*g + 50.
-5*(g - 5)*(g - 2)*(g - 1)**3
What is j in -2*j**4/9 - 496*j**3/9 - 10576*j**2/3 - 121024*j/9 - 119072/9 = 0?
-122, -2
Factor -5*q**2 - 1055*q + 2130.
-5*(q - 2)*(q + 213)
Factor -3*l**2 - 78*l - 360.
-3*(l + 6)*(l + 20)
Determine k, given that 2*k**5/5 - 28*k**4/5 - 424*k**3/5 - 1296*k**2/5 - 1152*k/5 = 0.
-6, -2, 0, 24
Factor -4*l**3 + 288*l**2 + 1836*l + 2808.
-4*(l - 78)*(l + 3)**2
Determine j, given that 5*j**4 - 25*j**2 + 20 = 0.
-2, -1, 1, 2
Factor d**2/4 - 81*d/4 + 117/2.
(d - 78)*(d - 3)/4
Factor -2*v**5/5 + 264*v**4/5 - 522*v**3/5 + 52*v**2.
-2*v**2*(v - 130)*(v - 1)**2/5
Suppose -2*b**2/5 + 28*b + 142/5 = 0. Calculate b.
-1, 71
Factor 5*k**3 - 240*k**2 + 2635*k.
5*k*(k - 31)*(k - 17)
What is x in -x**3/5 - 53*x**2/5 - 246*x/5 - 288/5 = 0?
-48, -3, -2
Factor d**5/7 - 15*d**4/7 + 57*d**3/7 + 5*d**2 - 42*d.
d*(d - 7)**2*(d - 3)*(d + 2)/7
Find d, given that 3*d**4 - 18*d**3 + 39*d**2 - 36*d + 12 = 0.
1, 2
Factor 3*u**2 - 27*u - 30.
3*(u - 10)*(u + 1)
Factor 2*n**2/9 + 20*n/9 + 32/9.
2*(n + 2)*(n + 8)/9
Factor 2*s**2/15 - 368*s/15 + 16928/15.
2*(s - 92)**2/15
Factor -4*j**2/5 - 1560*j - 760500.
-4*(j + 975)**2/5
Find t, given that 5*t**3 + 55*t**2 - 60*t = 0.
-12, 0, 1
Determine b so that -100*b**3 - 3820*b**2 + 3104*b - 624 = 0.
-39, 2/5
Factor 19*m**5/3 + 130*m**4/3 - 7*m**3.
m**3*(m + 7)*(19*m - 3)/3
Factor 4*v**5 + 18*v**4 + 18*v**3.
2*v**3*(v + 3)*(2*v + 3)
Factor -2*f**3 + 330*f**2 + 666*f + 334.
-2*(f - 167)*(f + 1)**2
Let 2*m**4/5 + 8*m**3 - 88*m**2/5 = 0. Calculate m.
-22, 0, 2
Suppose 45*g**3 - 210*g**2 - 340*g - 120 = 0. What is g?
-2/3, 6
Let 10*q**5 + 44*q**4 + 56*q**3 + 16*q**2 = 0. Calculate q.
-2, -2/5, 0
Find t such that 2*t**5/5 + 12*t**4/5 - 8*t**3/5 - 48*t**2/5 = 0.
-6, -2, 0, 2
Suppose b**3 - 17*b**2 = 0. What is b?
0, 17
Factor -3*a**2/2 + 9*a - 27/2.
-3*(a - 3)**2/2
Determine s, given that 2*s**3/19 - 24*s**2/19 - 30*s/19 + 52/19 = 0.
-2, 1, 13
Factor 3*j**4 + 69*j**3 + 360*j**2 - 432*j.
3*j*(j - 1)*(j + 12)**2
Solve -3*o**3 - 564*o**2 - 26508*o = 0 for o.
-94, 0
Find a such that -a**5 - 17*a**4 - 79*a**3 - 83*a**2 + 80*a + 100 = 0.
-10, -5, -2, -1, 1
Factor 14161*n**3 - 312018*n**2 + 10476*n - 88.
(n - 22)*(119*n - 2)**2
Determine v so that -2*v**4/5 - 18*v**3/5 + 2*v**2/5 + 18*v/5 = 0.
-9, -1, 0, 1
Determine d, given that -d**3/5 + d**2 - 4*d/5 = 0.
0, 1, 4
Find q such that q**3/4 - 9*q**2/2 - 39*q/4 - 5 = 0.
-1, 20
Suppose 3*z**4/2 + 69*z**3/8 + 135*z**2/8 + 111*z/8 + 33/8 = 0. Calculate z.
-11/4, -1
Determine b, given that -b**5/3 + 5*b**4/3 - b**3 - 5*b**2/3 + 4*b/3 = 0.
-1, 0, 1, 4
Factor -v**3/3 + v/3.
-v*(v - 1)*(v + 1)/3
Factor -2*w**3/9 - 88*w**2 - 8712*w.
-2*w*(w + 198)**2/9
Factor 3*g**2 - 21*g - 24.
3*(g - 8)*(g + 1)
Factor 1058*h**3/3 + 2990*h**2/3 - 544*h/3 + 8.
2*(h + 3)*(23*h - 2)**2/3
Let 4*n**4 - 192*n**3 + 364*n**2 + 192*n - 368 = 0. What is n?
-1, 1, 2, 46
Find o such that 5*o**4 + 10*o**3 - 15*o**2 - 20*o + 20 = 0.
-2, 1
Solve -q**5/5 - 2*q**4 - 17*q**3/5 - 8*q**2/5 = 0 for q.
-8, -1, 0
Factor -416*x**2 + 1246*x/3 + 2/3.
-2*(x - 1)*(624*x + 1)/3
Factor -i**3/7 - 48*i**2/7 + 684*i/7 - 2160/7.
-(i - 6)**2*(i + 60)/7
Factor 2*a**3 + 168*a**2 + 2830*a - 3000.
2*(a - 1)*(a + 25)*(a + 60)
Solve 3*j**4/5 - 12*j**3/5 + 9*j**2/5 = 0.
0, 1, 3
Find w, given that 6*w**5 - 310*w**4 - 434*w**3 + 526*w**2 + 212*w = 0.
-2, -1/3, 0, 1, 53
Suppose 2*f**4 + 648*f**3 - 1956*f**2 + 1960*f - 654 = 0. What is f?
-327, 1
Solve 2*o**5/7 - 12*o**4/7 + 4*o**3 - 32*o**2/7 + 18*o/7 - 4/7 = 0.
1, 2
Suppose -b**3 + 39*b**2/2 + 31*b + 21/2 = 0. Calculate b.
-1, -1/2, 21
Factor -t**3/10 - 3*t**2/2 + 17*t/5.
-t*(t - 2)*(t + 17)/10
Factor 2*b**2/9 + 16*b/9 - 2.
2*(b - 1)*(b + 9)/9
Factor 12*k**5/7 + 36*k**4/7 + 27*k**3/7.
3*k**3*(2*k + 3)**2/7
Factor -2*v**3/7 - 16*v**2/7 + 22*v/7 + 36/7.
-2*(v - 2)*(v + 1)*(v + 9)/7
Factor 4*x**3 + 1312*x**2/5 + 772*x/5 - 104.
4*(x + 1)*(x + 65)*(5*x - 2)/5
Find s, given that -21*s**2 + 12*s = 0.
0, 4/7
Factor s**3/2 + 2163*s**2/2 + 584280*s - 585362.
(s - 1)*(s + 1082)**2/2
Factor 5*b**3/7 - 11*b**2/7 - 13*b/7 + 3/7.
(b - 3)*(b + 1)*(5*b - 1)/7
Factor -4938267*t**2/2 - 11547*t - 27/2.
-3*(1283*t + 3)**2/2
Factor -5*p**2 + 10*p - 5.
-5*(p - 1)**2
Solve 3*h**2 + 3*h - 18 = 0.
-3, 2
Suppose 5*s**3/4 + 35*s**2/4 - 35*s + 25 = 0. What is s?
-10, 1, 2
Determine i, given that -3*i**3/7 + 366*i**2/7 + 369*i/7 = 0.
-1, 0, 123
Determine o, given that -308*o**5 - 148*o**4/5 + 5292*o**3/5 - 3788*o**2/5 - 8*o/5 + 192/5 = 0.
-24/11, -1/5, 2/7, 1
Let 5*s**4 + 1505*s**3 + 151500*s**2 + 5150000*s + 5000000 = 0. What is s?
-100, -1
Let 2*k**2/7 + 54*k/7 = 0. What is k?
-27, 0
Factor -2*t**2/11 + 80*t/11 - 78/11.
-2*(t - 39)*(t - 1)/11
Factor -t**2 - 435*t + 1314.
-(t - 3)*(t + 438)
Find d, given that d**2/5 + 94*d/5 + 2209/5 = 0.
-47
Factor -4*p**2 + 16952*p - 17960644.
-4*(p - 2119)**2
Factor 4*s**3 - 380*s**2 + 8832*s + 9216.
4*(s - 48)**2*(s + 1)
Factor -4*p**2 - 624*p - 3020.
-4*(p + 5)*(p + 151)
Find x such that -x**3/3 - x**2 + 8*x - 28/3 = 0.
-7, 2
Solve -40*r**4/3 + 2036*r**3/3 - 1236*r**2 - 800*r/3 + 784/3 = 0 for r.
-1/2, 2/5, 2, 49
Factor 2*i**2/3 - 196*i/3 + 4802/3.
2*(i - 49)**2/3
Solve -5*h**3 - 230*h**2 + 20*h + 920 = 0.
-46, -2, 2
Let -h**2 + 891*h + 892 = 0. What is h?
-1, 892
Solve -2*t**5 - 3156*t**4 - 1248192*t**3 - 2483776*t**2 = 0 for t.
-788, -2, 0
Factor 4*q**3/9 - 52*q**2/9 + 104*q/9 + 448/9.
4*(q - 8)*(q - 7)*(q + 2)/9
Find k, given that k**3/3 - 23*k**2/3 + 76*k/3 = 0.
0, 4, 19
Determine z so that -2*z**2 + 1330*z - 2652 = 0.
2, 663
Factor 55*c**3 + 1200*c**2 + 6435*c - 1210.
5*(c + 11)**2*(11*c - 2)
What is g in 3*g**4 - 19*g**3 + 4*g**2 + 12*g = 0?
-2/3, 0, 1, 6
Factor 3*j**2 + 1590*j + 9432.
3*(j + 6)*(j + 524)
Find v such that 2*v**2/19 + 88*v/19 - 90/19 = 0.
-45, 1
Let -5*n**3 - 48*n**2 + 75*n - 22 = 0. Calculate n.
-11, 2/5, 1
Solve -245*p**5 + 3080*p**4 - 6845*p**3 - 20830*p**2 + 13300*p - 1960 = 0.
-2, 2/7, 7
Let y**3 - 3*y**2 - 18*y = 0. What is y?
-3, 0, 6
Factor -f**2/9 - 34*f/9 - 11/3.
-(f + 1)*(f + 33)/9
Factor -2*m**2 - 4*m + 6.
-2*(m - 1)*(m + 3)
Let -5*o**2/7 + 767*o/7 - 306/7 = 0. What is o?
2/5, 153
Factor -4*l**3 + 35