4*g + 256.
-2*(g - 1)*(g + 128)
Factor 2*y**2/11 - 216*y/11 + 424/11.
2*(y - 106)*(y - 2)/11
Suppose 3*q**5 + 6*q**4 - 39*q**3 - 114*q**2 - 72*q = 0. Calculate q.
-3, -2, -1, 0, 4
Factor -15*p**3 - 156*p**2 - 375*p - 126.
-3*(p + 3)*(p + 7)*(5*p + 2)
Let -22*t**5/17 - 24*t**4/17 - 2*t**3/17 = 0. What is t?
-1, -1/11, 0
Factor 3*n**4 + 2568*n**3 + 733590*n**2 + 70178400*n + 69447375.
3*(n + 1)*(n + 285)**3
Let 2*h**5/15 + 4*h**4/5 - 244*h**3/15 - 88*h**2/5 + 242*h/15 + 84/5 = 0. Calculate h.
-14, -1, 1, 9
Factor 39*t**2/7 + 3*t - 60/7.
3*(t - 1)*(13*t + 20)/7
Factor -2*b**3/13 - 126*b**2/13 - 478*b/13 - 354/13.
-2*(b + 1)*(b + 3)*(b + 59)/13
Solve -55*b**2 - 57*b - 2 = 0 for b.
-1, -2/55
Solve -n**5 + 2*n**3 - n = 0 for n.
-1, 0, 1
Factor m**4/3 - 8*m**3/3 - m**2/3 + 8*m/3.
m*(m - 8)*(m - 1)*(m + 1)/3
Let 538722*j**4 - 2152812*j**3 + 2146586*j**2 + 8296*j + 8 = 0. Calculate j.
-1/519, 2
Factor x**4 - 2*x**3 - 5*x**2 + 6*x.
x*(x - 3)*(x - 1)*(x + 2)
Factor -4*i**2/7 + 52*i/7 - 48/7.
-4*(i - 12)*(i - 1)/7
Solve -150*t**3 + 895*t**2 - 720*t - 25 = 0 for t.
-1/30, 1, 5
Solve -49*w**5/5 - 2681*w**4 - 913903*w**3/5 + 400729*w**2/5 + 451552*w/5 + 75076/5 = 0 for w.
-137, -2/7, 1
Factor -4*v**4 + 2404*v**3 + 4*v**2 - 2404*v.
-4*v*(v - 601)*(v - 1)*(v + 1)
Determine k, given that 4*k**4 - 124*k**3 + 232*k**2 = 0.
0, 2, 29
Factor 4*h**3 - 4*h**2 - 260*h + 900.
4*(h - 5)**2*(h + 9)
Factor -b**2 + 4738*b - 5612161.
-(b - 2369)**2
Let -2*x**3/5 - 26*x**2 - 2046*x/5 + 2178/5 = 0. What is x?
-33, 1
Suppose 98*s**4 - 21322*s**3 - 52520*s**2 + 35224*s - 5280 = 0. What is s?
-3, 2/7, 220
Factor 2*a**4/17 + 12*a**3/17 + 10*a**2/17.
2*a**2*(a + 1)*(a + 5)/17
Factor 4*g**5 - 28*g**4 + 56*g**3 - 32*g**2.
4*g**2*(g - 4)*(g - 2)*(g - 1)
Find a, given that -2*a**3/3 - 74*a**2/3 - 90*a - 66 = 0.
-33, -3, -1
Factor h**2/5 + 3*h/5 - 8.
(h - 5)*(h + 8)/5
Determine n so that 3*n**2 + 129*n = 0.
-43, 0
Factor -o**3/4 + 27*o**2/2 + o/4 - 27/2.
-(o - 54)*(o - 1)*(o + 1)/4
Factor -m**3/6 - 11*m**2/6 - 6*m - 6.
-(m + 2)*(m + 3)*(m + 6)/6
Factor 3*i**3 + 258*i**2 - 1068*i + 1080.
3*(i - 2)**2*(i + 90)
Factor 2*x**2/7 + 166*x/7 - 2496/7.
2*(x - 13)*(x + 96)/7
Suppose 5*n**2 - 240*n - 245 = 0. Calculate n.
-1, 49
Find p, given that -3*p**3 - 9*p**2 + 48*p - 36 = 0.
-6, 1, 2
Factor 3*a**5 - 69*a**4 + 282*a**3 + 1290*a**2 + 1443*a + 507.
3*(a - 13)**2*(a + 1)**3
Determine q, given that -15*q**2/2 - 117*q + 48 = 0.
-16, 2/5
Suppose -j**4/4 + j**3 + 11*j**2/4 + 3*j/2 = 0. What is j?
-1, 0, 6
Find g, given that -g**5 - 18*g**4 - 122*g**3 - 384*g**2 - 549*g - 270 = 0.
-6, -5, -3, -1
Factor 4*h**4 - 320*h**3 + 8224*h**2 - 61440*h - 158400.
4*(h - 30)**2*(h - 22)*(h + 2)
Factor -w**2/4 - 3*w/4.
-w*(w + 3)/4
Factor -1055*u**2 - 1065*u - 10.
-5*(u + 1)*(211*u + 2)
Factor -h**5 + 9*h**4 - 22*h**3 + 32*h.
-h*(h - 4)**2*(h - 2)*(h + 1)
Suppose -12*c**3 - 107*c**2 - 87*c + 8 = 0. Calculate c.
-8, -1, 1/12
What is q in -3*q**4 - 9534*q**3 - 10112364*q**2 - 3593158440*q - 14211445344 = 0?
-1058, -4
Factor 4*m**3/5 - 8*m**2 + 92*m/5 - 56/5.
4*(m - 7)*(m - 2)*(m - 1)/5
Solve -336*b**5 - 9000*b**4 - 57669*b**3 - 83979*b**2 - 43308*b - 6804 = 0.
-18, -7, -3/4, -2/7
Factor 5*i**2 - 7050*i - 7055.
5*(i - 1411)*(i + 1)
Let 2*q**3/9 + 4*q**2/9 - 242*q/9 - 484/9 = 0. What is q?
-11, -2, 11
Determine t, given that -2*t**5/5 - 104*t**4/5 - 1448*t**3/5 - 2396*t**2/5 + 290*t + 500 = 0.
-25, -2, -1, 1
Factor -169*k**3/2 - 1872*k**2 - 3738*k - 1960.
-(k + 20)*(13*k + 14)**2/2
Solve -o**3 + 6*o**2 - 9*o + 4 = 0.
1, 4
Factor 4*i**3 - 256*i**2/3 - 752*i/3 - 128.
4*(i - 24)*(i + 2)*(3*i + 2)/3
Determine j so that 2*j**3 - 16*j**2 - 8*j + 64 = 0.
-2, 2, 8
Factor 3*b**3/2 + 141*b**2/2 + 1953*b/2 + 6615/2.
3*(b + 5)*(b + 21)**2/2
Determine t, given that -25*t**3 + 49540*t**2 - 24532205*t - 9820810 = 0.
-2/5, 991
Factor -3*s**3 - 234*s**2 + 237*s.
-3*s*(s - 1)*(s + 79)
Find w, given that -2*w**2/3 - 220*w/3 - 848/3 = 0.
-106, -4
Factor y**4/2 + y**3/2 - 3*y**2/2 - 5*y/2 - 1.
(y - 2)*(y + 1)**3/2
Factor -k**2/6 + 665*k/6.
-k*(k - 665)/6
What is x in 2*x**5/9 + 440*x**4/9 + 24200*x**3/9 = 0?
-110, 0
Determine x, given that -x**2/5 + 5*x - 46/5 = 0.
2, 23
Factor 18*b**4 - 220*b**3 + 858*b**2 - 1080*b + 200.
2*(b - 5)**2*(b - 2)*(9*b - 2)
Factor 2*f**3/7 + 180*f**2/7 + 3000*f/7 + 2000.
2*(f + 10)**2*(f + 70)/7
Determine d, given that -2*d**4 + 8*d**3 + 210*d**2 - 216*d = 0.
-9, 0, 1, 12
Find h such that -2*h**3/3 - 2812*h**2/3 = 0.
-1406, 0
Solve 2*s**5 + 84*s**4 + 1034*s**3 + 3192*s**2 + 2888*s = 0 for s.
-19, -2, 0
Factor 2*o**2/13 + 368*o/13 + 366/13.
2*(o + 1)*(o + 183)/13
Factor 3*o**3/2 + 4695*o**2/2 + 1834569*o/2 - 1839267/2.
3*(o - 1)*(o + 783)**2/2
Factor -f**2/3 - 35*f/3 + 150.
-(f - 10)*(f + 45)/3
Factor -4*s**2/9 + 1396*s/9 - 464/3.
-4*(s - 348)*(s - 1)/9
Factor -15625*j**3 - 17125*j**2 - 1536*j - 36.
-(j + 1)*(125*j + 6)**2
Factor o**4 - 79*o**3 - o**2 + 79*o.
o*(o - 79)*(o - 1)*(o + 1)
Find q such that q**4/4 + 9*q**3/4 - 3*q**2/4 - 25*q/4 + 9/2 = 0.
-9, -2, 1
What is m in m**2 - 82*m + 592 = 0?
8, 74
Factor -r**3/5 - 7*r**2/5 + 181*r/5 + 187/5.
-(r - 11)*(r + 1)*(r + 17)/5
What is b in -4*b**5 - 12*b**4 + 20*b**3 + 12*b**2 - 16*b = 0?
-4, -1, 0, 1
Determine v so that 4*v**3 - 32*v**2 - 92*v + 120 = 0.
-3, 1, 10
What is w in 16*w**5 - 600*w**4 + 1433*w**3 - 1165*w**2 + 351*w - 35 = 0?
1/4, 1, 35
Determine x so that -x**4/2 - 11*x**3/2 + x**2/2 + 11*x/2 = 0.
-11, -1, 0, 1
Determine b, given that -5*b**2/4 + 15*b - 135/4 = 0.
3, 9
Suppose 3*w**3/5 - 3*w**2 - 108*w/5 + 108 = 0. Calculate w.
-6, 5, 6
Let d**4/2 + 33*d**3 - 67*d**2/2 = 0. Calculate d.
-67, 0, 1
Find l such that l**5/5 + 12*l**4/5 + 17*l**3/5 - 38*l**2/5 - 84*l/5 - 8 = 0.
-10, -2, -1, 2
Suppose -2*l**3/3 - 22*l**2 + 146*l/3 + 70 = 0. What is l?
-35, -1, 3
Suppose -h**2/2 - 7*h/2 + 15 = 0. Calculate h.
-10, 3
Solve -x**4/3 + 119*x**3/3 - 117*x**2 + 349*x/3 - 116/3 = 0.
1, 116
Factor -196*n**2/3 - 310*n/3 - 8.
-2*(2*n + 3)*(49*n + 4)/3
Determine z, given that -3*z**3/4 - 267*z**2/4 - 1890*z - 16524 = 0.
-36, -17
Factor -3*i**3/4 + 39*i**2/4 - 9*i.
-3*i*(i - 12)*(i - 1)/4
Factor 3*c**4 + 21*c**3 + 54*c**2 + 60*c + 24.
3*(c + 1)*(c + 2)**3
Factor 2*q**2/15 + 544*q/3 + 184960/3.
2*(q + 680)**2/15
Let -4*c**2/5 - 52*c/5 - 48/5 = 0. Calculate c.
-12, -1
Solve 27*w**3 - 159*w**2 + 225*w + 27 = 0 for w.
-1/9, 3
Factor 2*a**3 + 16*a**2 + 30*a.
2*a*(a + 3)*(a + 5)
Factor k**3/2 + 7*k**2/2 + 4*k - 8.
(k - 1)*(k + 4)**2/2
Solve -4*n**4 - 4*n**3 + 20*n**2 - 12*n = 0.
-3, 0, 1
Factor -2*p**2 + 212*p + 1110.
-2*(p - 111)*(p + 5)
Solve 3*o**2/2 - 9*o + 12 = 0.
2, 4
Factor -2*j**2/7 + 36*j/7 + 38/7.
-2*(j - 19)*(j + 1)/7
Let 5*i**4 + 50*i**3 - 140*i**2 - 200*i + 480 = 0. What is i?
-12, -2, 2
Determine x so that -5*x**5 - 25*x**4 + 60*x**3 + 180*x**2 = 0.
-6, -2, 0, 3
Solve -2*a**3 - 32*a**2 - 130*a - 100 = 0.
-10, -5, -1
Factor 2*c**4 + 20*c**3 - 6*c**2 - 216*c.
2*c*(c - 3)*(c + 4)*(c + 9)
What is h in -4*h**2 + 448*h - 444 = 0?
1, 111
Factor z**3 - 31*z**2 - 74*z + 264.
(z - 33)*(z - 2)*(z + 4)
Determine c so that 6*c**2/5 - 192*c/5 - 408/5 = 0.
-2, 34
Determine l, given that -220*l**2/3 + 664*l/3 - 4 = 0.
1/55, 3
Factor k**2/2 + 98*k + 195/2.
(k + 1)*(k + 195)/2
Factor 10*i**2/11 + 2454*i/11 + 980/11.
2*(i + 245)*(5*i + 2)/11
What is y in 2*y**5/11 - 134*y**4/11 + 1214*y**3/11 - 4338*y**2/11 + 6912*y/11 - 4104/11 = 0?
2, 3, 57
Let 3*s**5 - 38*s**4/3 + 35*s**3/3 + 10*s**2 - 44*s/3 + 8/3 = 0. Calculate s.
-1, 2/9, 1, 2
Factor 4*n**2/9 + 556*n/9 - 376/3.
4*(n - 2)*(n + 141)/9
Factor -45*d**3 - 5*d**2.
-5*d**2*(9*d + 1)
Find o, given that o**4/4 - 25*o**2/4 + 36 = 0.
-4, -3, 3, 4
Factor -5*m**3 + 580*m**2 - 1145*m + 570.
-5*(m - 114)*(m - 1)**2
Factor -2*q**2/5 - 40*q - 768/5.
-2*(q + 4)*(q + 96)/5
Factor 4*v**2 + 96*v - 208.
4*(v - 2)*(v + 26)
Factor r**2 + 613*r + 612.
(r + 1)*(r + 612)
Factor c**4/2 - 3*c**3 + 4*c**2 + 3*c - 9/2.
(c - 3)**2*(c - 1)*(c + 1)/2
Factor 14*i**3 + 472*i**2 - 4154*i + 1148.
2*(i - 7)*(i + 41)*(7*i - 2)
What is f in 2*f**3/5 - 24*f**2/5 + 96*f/5 - 128/5 = 0?
4
Solve m**4/4 + 7*m**3/4 + 11*m**2/4 + 5*m/4 = 0 for m.
-5, -1, 0
Factor 4*x**4 + 8*x**3 - 4*x**2 - 8*x.
4*x*(x - 1)*(x + 1)*(x + 2)
Solve u**5/3 + 23*u**4/3 + 62*u**3/3 - 812*u*