5*k**4 - 485*k**3 - 810*k**2 - 360*k = 0.
-12, -1, -6/7, 0
Let 3*y**2 + 12*y - 135 = 0. What is y?
-9, 5
Factor -4*l**4 - 24*l**3 + 12*l**2 + 64*l - 48.
-4*(l - 1)**2*(l + 2)*(l + 6)
Let -6*o**3 + 2129*o**2 + 3561*o + 1426 = 0. What is o?
-1, -2/3, 713/2
Solve 13*s**2/2 + 401*s/2 - 31 = 0 for s.
-31, 2/13
Find p such that 4*p**2 - 40*p - 684 = 0.
-9, 19
Factor v**3 - 12*v**2 - 73*v + 420.
(v - 15)*(v - 4)*(v + 7)
Factor -2*x**2/11 - 40*x/11 + 42/11.
-2*(x - 1)*(x + 21)/11
Factor -8*i**2 - 11078*i + 2770.
-2*(i + 1385)*(4*i - 1)
Suppose -2*v**5 + 12*v**4 - 22*v**3 + 12*v**2 = 0. What is v?
0, 1, 2, 3
What is a in -5*a**4 + 720*a**3 - 38880*a**2 + 933120*a - 8398080 = 0?
36
Factor 4*c**4 - 40*c**3 - 348*c**2 - 576*c.
4*c*(c - 16)*(c + 3)**2
Suppose 21*z**3 - 849*z**2 + 8760*z - 3600 = 0. Calculate z.
3/7, 20
Solve j**5/7 + 16*j**4/7 - 54*j**3/7 + 8*j**2 - 19*j/7 = 0 for j.
-19, 0, 1
Find t, given that 2*t**2/11 + 3456*t/11 + 1492992/11 = 0.
-864
Factor -z**2/5 + 4033*z/5.
-z*(z - 4033)/5
Factor 10*m**2 + 105*m + 50.
5*(m + 10)*(2*m + 1)
Determine x, given that x**2 + 83*x - 1248 = 0.
-96, 13
Solve 5*c**2 + 370*c - 375 = 0 for c.
-75, 1
Let 8*n**5/7 - 104*n**4/7 + 234*n**3/7 + 76*n**2/7 - 22*n - 60/7 = 0. Calculate n.
-1/2, 1, 3, 10
Factor 8*k**2 - 332*k + 164.
4*(k - 41)*(2*k - 1)
What is d in 3*d**4/7 + 45*d**3/7 + 18*d**2 - 276*d/7 - 360/7 = 0?
-10, -6, -1, 2
Find f such that 5*f**4/2 + 75*f**3/2 + 110*f**2 = 0.
-11, -4, 0
Let p**5/5 + 12*p**4/5 - 64*p**3/5 + 16*p**2/5 + 48*p - 256/5 = 0. Calculate p.
-16, -2, 2
Factor l**4/10 - l**3/2 + 9*l**2/10 - 7*l/10 + 1/5.
(l - 2)*(l - 1)**3/10
Factor -a**2 + a + 56.
-(a - 8)*(a + 7)
Factor -4*b**3/9 - 2*b**2/9 + 50*b/9 - 8/3.
-2*(b - 3)*(b + 4)*(2*b - 1)/9
Solve -4*p**4 - 14*p**3/3 + 68*p**2/9 + 14*p/9 - 4/9 = 0.
-2, -1/3, 1/6, 1
Factor 2*u**3/7 - 220*u**2/7 + 856*u/7 - 848/7.
2*(u - 106)*(u - 2)**2/7
Suppose 2*f**2/7 + 94*f/7 = 0. What is f?
-47, 0
Find s, given that -s**2/2 + 1839*s - 3381921/2 = 0.
1839
Find w such that -3*w**5 - 120*w**4 + 519*w**3 - 396*w**2 = 0.
-44, 0, 1, 3
Factor -492032*o**2 + 5952*o - 18.
-2*(496*o - 3)**2
Factor i**3 - 3*i**2 - 46*i + 48.
(i - 8)*(i - 1)*(i + 6)
Factor -6*p**3 + 897*p**2 - 444*p - 447.
-3*(p - 149)*(p - 1)*(2*p + 1)
Determine j, given that j**3/4 - 7*j**2/2 - j + 14 = 0.
-2, 2, 14
Factor -6*b**3 + 2642*b**2 + 1766*b - 882.
-2*(b - 441)*(b + 1)*(3*b - 1)
Factor 2*s**4/7 + 2*s**3/7 - 12*s**2/7.
2*s**2*(s - 2)*(s + 3)/7
Find o such that o**3/5 + 53*o**2/5 - 56*o/5 - 108/5 = 0.
-54, -1, 2
Factor 2*k**3/15 + 92*k**2/15 - 38*k/3 + 32/5.
2*(k - 1)**2*(k + 48)/15
Let 2*y**3 - 26*y**2 + 78*y - 54 = 0. Calculate y.
1, 3, 9
Factor 2*g**5/5 + 14*g**4/5 + 36*g**3/5 + 8*g**2 + 16*g/5.
2*g*(g + 1)*(g + 2)**3/5
Find o, given that -12*o**5 - 177*o**4/5 + 249*o**3/5 - 12*o**2/5 = 0.
-4, 0, 1/20, 1
Solve 4*g**3 + 492*g**2 + 2844*g + 4212 = 0.
-117, -3
Let 2*v**3 + 168*v**2 + 3528*v = 0. Calculate v.
-42, 0
Suppose 2*q**4 + 16*q**3 + 44*q**2 + 48*q + 18 = 0. Calculate q.
-3, -1
Find i such that 3*i**2/7 - 30264*i/7 + 76325808/7 = 0.
5044
Factor -4*y**4 + 88*y**3 - 608*y**2 + 1664*y - 1536.
-4*(y - 12)*(y - 4)**2*(y - 2)
Determine m so that -3*m**5 + 18*m**4 - 24*m**3 - 18*m**2 + 27*m = 0.
-1, 0, 1, 3
What is h in -h**4/8 - h**3/8 + 3*h**2/2 - h/2 - 2 = 0?
-4, -1, 2
Factor -x**3/4 + 105*x**2/4 + 53*x/2.
-x*(x - 106)*(x + 1)/4
Factor u**2/9 - 1930*u/3 + 931225.
(u - 2895)**2/9
Find h such that 14*h**3/5 + 10*h**2 + 32*h/5 - 24/5 = 0.
-2, 3/7
Factor 4*x**2 - 104*x + 100.
4*(x - 25)*(x - 1)
Let -8*c**4 + 1436*c**3 - 64076*c**2 - 33120*c + 32400 = 0. What is c?
-1, 1/2, 90
Determine n, given that -3*n**2/7 - 54594*n/7 - 248375403/7 = 0.
-9099
Factor 3*m**2 + 75*m + 450.
3*(m + 10)*(m + 15)
Determine w, given that -3*w**3 - 51*w**2 - 240*w - 192 = 0.
-8, -1
Solve i**5/6 - 31*i**4/6 - 73*i**3/6 + 211*i**2/6 + 108*i + 66 = 0.
-2, -1, 3, 33
What is b in -14*b**2/3 + 29*b/3 - 2/3 = 0?
1/14, 2
Find i, given that -35*i**3 + 1130*i**2 - 2420*i + 600 = 0.
2/7, 2, 30
Let -3*c**5/7 - 6*c**4/7 + 6*c**2/7 + 3*c/7 = 0. What is c?
-1, 0, 1
Solve 3*v**2/8 - 21*v/8 = 0 for v.
0, 7
Suppose -2*q**4/5 + 12*q**3 - 194*q**2/5 - 384*q/5 + 104 = 0. What is q?
-2, 1, 5, 26
Determine u, given that -3*u**2 - 36*u - 105 = 0.
-7, -5
Find j such that 4*j**2/5 - 28*j - 160 = 0.
-5, 40
Solve 3*q**5 - 54*q**4 + 249*q**3 - 102*q**2 - 1152*q + 1056 = 0.
-2, 1, 4, 11
Determine a, given that -8*a**5/7 + 106*a**4/7 + 430*a**3/7 - 626*a**2/7 - 422*a/7 + 520/7 = 0.
-4, -1, 1, 65/4
Let -3*u**3/2 - 12*u**2 - 33*u/2 + 30 = 0. What is u?
-5, -4, 1
Factor -2*o**4/7 + 24*o**2/7 + 32*o/7.
-2*o*(o - 4)*(o + 2)**2/7
Determine d so that 2*d**3/11 - 34*d**2/11 - 130*d/11 + 3042/11 = 0.
-9, 13
Solve -42*c**3/5 - 10012*c**2/5 - 760*c + 1904/5 = 0.
-238, -2/3, 2/7
Determine f so that -5*f**4/4 - 7*f**3/2 + 35*f**2/4 + 11*f = 0.
-4, -1, 0, 11/5
Suppose 12*z**5 - 80*z**4 + 140*z**3 - 40*z**2 - 32*z = 0. Calculate z.
-1/3, 0, 1, 2, 4
Factor 2*j**4 + 48*j**3 + 178*j**2 - 228*j.
2*j*(j - 1)*(j + 6)*(j + 19)
Find z such that -5*z**3 + 15*z + 10 = 0.
-1, 2
Let -25*g**5 + 240*g**4 + 675*g**3 + 530*g**2 + 120*g = 0. Calculate g.
-1, -2/5, 0, 12
Find q, given that -6*q**5 + 8*q**4 + 4*q**3 - 8*q**2 + 2*q = 0.
-1, 0, 1/3, 1
Factor -x**4/3 - 5*x**3/3 + 22*x**2/3 - 16*x/3.
-x*(x - 2)*(x - 1)*(x + 8)/3
Factor 4*g**4 - 3260*g**3 - 9804*g**2 - 9812*g - 3272.
4*(g - 818)*(g + 1)**3
Factor -t**4 - 8*t**3 + 3*t**2 + 22*t - 16.
-(t - 1)**2*(t + 2)*(t + 8)
Suppose -5*w**4 - 10*w**3 + 100*w**2 - 120*w = 0. What is w?
-6, 0, 2
Solve 12*h**3 + 27*h**2 + 18*h + 3 = 0.
-1, -1/4
Let -r**2/4 - r + 21/4 = 0. What is r?
-7, 3
Factor -3*j**2 - 1566*j - 3120.
-3*(j + 2)*(j + 520)
Solve 2*q**4 - 20*q**3 + 26*q**2 + 120*q + 72 = 0 for q.
-1, 6
Determine w so that -w**4 - 21*w**3 - 120*w**2 - 100*w = 0.
-10, -1, 0
Solve k**2 - 16*k + 15 = 0.
1, 15
Suppose 2*x**4/13 + 124*x**3/13 + 242*x**2/13 + 120*x/13 = 0. Calculate x.
-60, -1, 0
Determine c so that -2*c**2 + 2 = 0.
-1, 1
What is k in 2*k**3 + 248*k**2 - 502*k + 252 = 0?
-126, 1
Factor k**2/8 + 1787*k/4 + 3193369/8.
(k + 1787)**2/8
Suppose -o**5 - 170*o**4 - 7392*o**3 - 14112*o**2 = 0. What is o?
-84, -2, 0
Find k such that 3*k**2/2 - 336*k = 0.
0, 224
Let -2*r**2 + 88*r/5 + 18/5 = 0. Calculate r.
-1/5, 9
Solve -51*w**2/7 + 9*w - 12/7 = 0 for w.
4/17, 1
Find r such that 295*r**2 - 285*r - 10 = 0.
-2/59, 1
Determine i so that 2*i**2/11 + 258*i/11 + 1000/11 = 0.
-125, -4
Solve -75*m**4 + 4245*m**3 + 1722*m**2 - 3396*m/5 - 1368/5 = 0.
-2/5, 2/5, 57
Let -11*a**3 + 70*a**2 + 53*a - 28 = 0. Calculate a.
-1, 4/11, 7
Factor -f**3 + 21*f**2 - 23*f - 285.
-(f - 19)*(f - 5)*(f + 3)
Let 4*q**4 - 2256*q**3 + 424128*q**2 - 26578688*q = 0. What is q?
0, 188
Factor l**3/3 + 2*l**2 + 11*l/3 + 2.
(l + 1)*(l + 2)*(l + 3)/3
Suppose -x**5 - x**4 + 33*x**3 + 41*x**2 - 232*x - 240 = 0. Calculate x.
-4, -1, 3, 5
Factor -3*l**4/2 + 792*l**3 - 103749*l**2 - 209880*l - 210675/2.
-3*(l - 265)**2*(l + 1)**2/2
Factor -l**5/2 - 5*l**4/2 - 3*l**3 + l**2 + 7*l/2 + 3/2.
-(l - 1)*(l + 1)**3*(l + 3)/2
What is y in 3*y**2/4 - 21*y/2 + 18 = 0?
2, 12
Determine t so that -3*t**2/7 + 348*t/7 - 1017/7 = 0.
3, 113
Find o such that 4*o**5/3 - 108*o**4 + 628*o**3/3 + 108*o**2 - 632*o/3 = 0.
-1, 0, 1, 2, 79
Solve -6*o**3 - 28*o**2 - 34*o - 12 = 0.
-3, -1, -2/3
Factor 5*z**4 - 60*z**3 + 110*z**2 + 420*z + 245.
5*(z - 7)**2*(z + 1)**2
Factor -8*b**4/7 + 4*b**3 - 36*b**2/7 + 20*b/7 - 4/7.
-4*(b - 1)**3*(2*b - 1)/7
Suppose 6*w**3/7 + 24*w**2/7 + 6*w/7 - 36/7 = 0. Calculate w.
-3, -2, 1
Solve -2*i**2/9 - 2584*i/9 - 834632/9 = 0 for i.
-646
Solve -2*g**2/11 + 334*g/11 - 1304/11 = 0.
4, 163
Let p**2/6 - 485*p/3 - 324 = 0. What is p?
-2, 972
Factor g**4/6 + 15*g**3 + 567*g**2/2 - 2736*g - 10368.
(g - 9)*(g + 3)*(g + 48)**2/6
Factor -d**3/4 - 2*d**2 - 17*d/4 - 5/2.
-(d + 1)*(d + 2)*(d + 5)/4
Factor -3*c**2/5 - 846*c/5 - 59643/5.
-3*(c + 141)**2/5
Solve -d**4 - 2*d**3 + d**2 + 2*d = 0.
-2, -1, 0, 1
Factor 5*u**4 - 40*u**3 + 110*u**2 - 120*u + 45.
5*(u - 3)**2*(u - 1)**2
Factor -4*j**3 + 458*j**2 - 680*j + 226.
-2*(j - 113)*(j - 1)*(2*j - 1)
Factor -2*v**3/11 + 6*v**2/11 - 4*v/11.
-2*v*(v - 2)*(v - 1)/11
Factor 2*t**3/9 + 10*t**2/9 + 4*t/9 - 16/9.
2*(t - 1)*(t + 2)*(t 