 - 1236*h**2 - 1892*h - 848 = 0. What is h?
-4, -1, 53
Factor t**4/2 + 48*t**3 - t**2/2 - 48*t.
t*(t - 1)*(t + 1)*(t + 96)/2
Suppose -2*r**4/11 + 60*r**3/11 - 448*r**2/11 - 60*r/11 + 450/11 = 0. What is r?
-1, 1, 15
Factor 4*i**5 + 36*i**4 + 60*i**3 + 28*i**2.
4*i**2*(i + 1)**2*(i + 7)
Factor -p**3/6 - 29*p**2/2 + 553*p/6 - 155/2.
-(p - 5)*(p - 1)*(p + 93)/6
Factor -4*o**3 + 140*o**2 + 4*o - 140.
-4*(o - 35)*(o - 1)*(o + 1)
Solve 3*l**4/7 - 12*l**3/7 - 3*l**2 + 102*l/7 - 72/7 = 0 for l.
-3, 1, 2, 4
Factor -25*y**3 + 45*y**2 + 210*y + 40.
-5*(y - 4)*(y + 2)*(5*y + 1)
Factor f**4/6 - 27*f**3 + 80*f**2/3 + 27*f - 161/6.
(f - 161)*(f - 1)**2*(f + 1)/6
Suppose -h**5 - 43*h**4 - 440*h**3 + 484*h**2 = 0. What is h?
-22, 0, 1
Factor 2*d**3/11 + 12*d**2/11 - 2*d/11 - 12/11.
2*(d - 1)*(d + 1)*(d + 6)/11
Find c such that 4*c**2/5 - 2788*c/5 + 11088/5 = 0.
4, 693
Factor -5*x**5 - 8*x**4 - x**3 + 2*x**2.
-x**2*(x + 1)**2*(5*x - 2)
Factor -2*s**2 + 110*s - 312.
-2*(s - 52)*(s - 3)
Let 3*l**5 - 7*l**4 - 108*l**3 + 256*l**2 - 144 = 0. Calculate l.
-6, -2/3, 1, 2, 6
Factor -f**2/5 - 54*f/5 - 104/5.
-(f + 2)*(f + 52)/5
Factor 2*d**3 + 2222*d**2 + 616048*d - 618272.
2*(d - 1)*(d + 556)**2
Factor -2*s**2 - 4*s + 30.
-2*(s - 3)*(s + 5)
Find y such that -20*y**2 - 36*y + 8 = 0.
-2, 1/5
Factor -5*i**2/6 - 5*i/6.
-5*i*(i + 1)/6
Find u such that -4*u**4 + 32*u**3 + 44*u**2 - 72*u = 0.
-2, 0, 1, 9
Determine s, given that -5*s**2 + 160*s - 155 = 0.
1, 31
Factor -3*l**3 - 249*l**2/5 - 1104*l/5 - 576/5.
-3*(l + 8)**2*(5*l + 3)/5
Factor -3*v**2 + 878*v - 584.
-(v - 292)*(3*v - 2)
Determine m so that m**5/4 + 7*m**4/4 - 63*m**3/4 - 223*m**2/4 - 77*m/2 = 0.
-11, -2, -1, 0, 7
Factor 556*r**2 + 1154*r/7 + 12/7.
2*(7*r + 2)*(278*r + 3)/7
Determine a, given that -a**3/5 - 2*a**2 + 52*a/5 - 56/5 = 0.
-14, 2
Determine u so that -4*u**4 + 20*u**3/7 + 36*u**2/7 - 20*u/7 - 8/7 = 0.
-1, -2/7, 1
Suppose 1362*q**2/5 - 4082*q/5 - 12/5 = 0. What is q?
-2/681, 3
Let j**5/8 + j**4/4 - j**2/4 - j/8 = 0. Calculate j.
-1, 0, 1
Solve 169*z**2/2 + 247*z + 361/2 = 0 for z.
-19/13
Factor q**4/6 - 145*q**3/6 + 1176*q**2 - 19584*q + 18432.
(q - 48)**3*(q - 1)/6
Factor 6*o**3/5 + 2628*o**2/5 - 21312*o/5 + 42816/5.
6*(o - 4)**2*(o + 446)/5
Factor 3*c**2/7 - 1200*c + 840000.
3*(c - 1400)**2/7
Let 5*v**4/3 - 6*v**3 - 56*v**2 - 64*v/3 = 0. Calculate v.
-4, -2/5, 0, 8
Find q, given that -5*q**4 + 3900*q**3 - 11665*q**2 + 7770*q = 0.
0, 1, 2, 777
Suppose -5*a**3 - 940*a**2 - 44180*a = 0. Calculate a.
-94, 0
Find y, given that -2*y**4 + 32*y**2 = 0.
-4, 0, 4
Factor -30*j**2 - 506*j + 68.
-2*(j + 17)*(15*j - 2)
Suppose 3*t**3 + 108*t**2 - 111*t = 0. What is t?
-37, 0, 1
Let 234*r**4/11 - 1636*r**3/11 + 3496*r**2/11 - 2076*r/11 - 18/11 = 0. What is r?
-1/117, 1, 3
Factor -2*d**2/11 - 224*d/11 + 690/11.
-2*(d - 3)*(d + 115)/11
Let 93*v**3 + 534*v**2 + 693*v - 216 = 0. Calculate v.
-3, 8/31
Factor g**2/9 - 70*g/9.
g*(g - 70)/9
Factor -3*f**5/4 + 9*f**4/4 - 3*f**2.
-3*f**2*(f - 2)**2*(f + 1)/4
Solve -j**3/4 + 2*j**2 + 19*j/4 + 5/2 = 0 for j.
-1, 10
Find s such that 3*s**3 - 66*s**2 + 63*s = 0.
0, 1, 21
Solve -2*t**4/5 + 8*t**3/5 + 76*t**2/5 + 24*t + 54/5 = 0.
-3, -1, 9
Suppose 3*t**4 + 2022*t**3 + 340704*t**2 - 2022*t - 340707 = 0. Calculate t.
-337, -1, 1
Factor 3*o**4/4 + 2*o**3 - 5*o**2 - 4*o.
o*(o - 2)*(o + 4)*(3*o + 2)/4
Factor -g**4/6 + 5*g**3/2 - 21*g**2/2 + 49*g/6.
-g*(g - 7)**2*(g - 1)/6
Factor 2*v**3/11 + 94*v**2/11 + 790*v/11 + 1850/11.
2*(v + 5)**2*(v + 37)/11
Factor 5*z**2 - 350*z - 355.
5*(z - 71)*(z + 1)
Find w, given that 2*w**5/19 - 4*w**4/19 - 32*w**3/19 + 4*w**2 + 30*w/19 - 72/19 = 0.
-4, -1, 1, 3
Factor -b**3/3 + 6*b**2 - 17*b/3.
-b*(b - 17)*(b - 1)/3
Find k such that -25*k**4 - 20*k**3 + 5*k**2 = 0.
-1, 0, 1/5
Factor 5*d**2 - 85*d + 150.
5*(d - 15)*(d - 2)
What is p in -2*p**5 + 572*p**4/5 - 6664*p**3/5 - 8852*p**2 - 29326*p/5 + 7688/5 = 0?
-4, -1, 1/5, 31
Factor 3*v**4/4 - 11*v**3/4 - 27*v**2/4 + 35*v/4.
v*(v - 5)*(v - 1)*(3*v + 7)/4
What is i in -2*i**3/5 + 1338*i**2/5 - 298374*i/5 + 22179134/5 = 0?
223
Determine n, given that 4*n**2/3 - 52*n/3 + 160/3 = 0.
5, 8
Find j such that j**4/5 + 41*j**3/5 - 1507*j**2/5 + 9607*j/5 + 11154/5 = 0.
-66, -1, 13
Factor -4*i**4 + 64*i**3 + 216*i**2 + 224*i + 76.
-4*(i - 19)*(i + 1)**3
Find v, given that v**5/6 + 14*v**4/3 - 115*v**3/3 + 86*v**2 - 105*v/2 = 0.
-35, 0, 1, 3
Let 3*n**4 + 81*n**3 - 561*n**2 + 1071*n - 594 = 0. What is n?
-33, 1, 2, 3
Factor -22*q**4/3 - 46*q**3 - 100*q**2 - 248*q/3 - 16.
-2*(q + 2)**3*(11*q + 3)/3
What is t in -3*t**3/7 + 408*t**2/7 + 825*t/7 + 414/7 = 0?
-1, 138
Let v**3 - 24*v**2 + 63*v = 0. What is v?
0, 3, 21
Suppose -7*g**5/12 - 41*g**4/6 - 13*g**3/4 + 43*g**2/3 - 11*g/3 = 0. Calculate g.
-11, -2, 0, 2/7, 1
Factor 4*o**2 - 988*o - 992.
4*(o - 248)*(o + 1)
Factor 6*d**3/7 - 268*d**2/7 + 62*d - 172/7.
2*(d - 43)*(d - 1)*(3*d - 2)/7
Find a such that 3*a**4 + 255*a**3 + 6237*a**2 + 34749*a + 54756 = 0.
-39, -4, -3
Factor 3*o**4 - 15*o**3 + 27*o**2 - 21*o + 6.
3*(o - 2)*(o - 1)**3
Let 4*s**4 - 240*s**3 + 4744*s**2 - 32016*s + 27508 = 0. What is s?
1, 13, 23
Factor 5*b**2 - 20*b + 15.
5*(b - 3)*(b - 1)
Factor 2*z**2/5 - 68*z/5.
2*z*(z - 34)/5
Factor -p**5 + 29*p**4 - 249*p**3 + 559*p**2 - 338*p.
-p*(p - 13)**2*(p - 2)*(p - 1)
Find s, given that s**5/5 + 52*s**4/5 + 851*s**3/5 + 4532*s**2/5 + 1452*s = 0.
-22, -5, -3, 0
Solve s**2/3 + 4*s = 0 for s.
-12, 0
What is m in 4*m**3 - 28*m**2 + 8*m + 160 = 0?
-2, 4, 5
Factor t**2/4 + 511*t/2.
t*(t + 1022)/4
Factor -8*k**3/3 - 14*k**2/3 + 14*k + 12.
-2*(k - 2)*(k + 3)*(4*k + 3)/3
Let 15*a**2/4 + 147*a/8 + 27/2 = 0. Calculate a.
-4, -9/10
Solve u**3/4 + 31*u**2/2 + 59*u + 58 = 0 for u.
-58, -2
Find s such that -s**5 - 51*s**4 + 214*s**3 - 326*s**2 + 219*s - 55 = 0.
-55, 1
Factor 65*g**4 - 1530*g**3 + 11760*g**2 - 27520*g - 15360.
5*(g - 8)**3*(13*g + 6)
Solve -36*q**5 + 156*q**4 + 116*q**3 + 20*q**2 = 0.
-1/3, 0, 5
Factor 14*p**3 + 1986*p**2 + 70290*p - 10082.
2*(p + 71)**2*(7*p - 1)
Find l such that -3*l**3/7 - 51*l**2/7 + 240*l/7 - 36 = 0.
-21, 2
What is c in 4*c**2 - 256*c + 4096 = 0?
32
Factor -2*l**3/7 - 1046*l**2/7 - 6214*l/7 - 5170/7.
-2*(l + 1)*(l + 5)*(l + 517)/7
Let 27*b**2/4 + 42*b = 0. Calculate b.
-56/9, 0
Suppose -3*f**4/5 - 132*f**3/5 - 1314*f**2/5 + 3036*f/5 - 1587/5 = 0. Calculate f.
-23, 1
Solve 20*g**3/7 + 8*g**2/7 - 124*g/7 + 96/7 = 0 for g.
-3, 1, 8/5
Determine c so that -4*c**2 - 8*c = 0.
-2, 0
Find i such that 3*i**4 + 36*i**3 + 108*i**2 + 96*i = 0.
-8, -2, 0
Factor 2*w**3/11 - 48*w**2/11 + 150*w/11 + 200/11.
2*(w - 20)*(w - 5)*(w + 1)/11
Solve 4*v**3 + 64*v**2 - 140*v + 72 = 0.
-18, 1
Factor -x**5 - 2*x**4 + 35*x**3 + 72*x**2 + 36*x.
-x*(x - 6)*(x + 1)**2*(x + 6)
Factor 3*h**5 - 3*h**4 - 3*h**3 + 3*h**2.
3*h**2*(h - 1)**2*(h + 1)
Suppose -8*n**5 - 16*n**4 + 6*n**3 + 14*n**2 + 4*n = 0. What is n?
-2, -1/2, 0, 1
What is n in 2*n**4/3 + 8*n**3 + 104*n**2/3 + 64*n + 128/3 = 0?
-4, -2
Determine b so that -3*b**5 + 147*b**4 - 2865*b**3 + 27753*b**2 - 133584*b + 255552 = 0.
8, 11
Factor -5*c**2 + 5100*c + 20480.
-5*(c - 1024)*(c + 4)
Find h, given that -h**4/2 - 11*h**3/2 + h**2/2 + 11*h/2 = 0.
-11, -1, 0, 1
What is n in -n**3/5 + 27*n**2 - 4347*n/5 - 14283/5 = 0?
-3, 69
Factor a**5 - 2*a**4 - 2*a**3 + 4*a**2 + a - 2.
(a - 2)*(a - 1)**2*(a + 1)**2
What is n in 4*n**5 - 44*n**4 = 0?
0, 11
Factor 2*l**2/11 + 6348*l/11 + 5037138/11.
2*(l + 1587)**2/11
Factor -5*t**4 + 5*t**2.
-5*t**2*(t - 1)*(t + 1)
Factor 6*a**2 - 669*a - 336.
3*(a - 112)*(2*a + 1)
Determine m so that 2*m**3/7 - 758*m**2/7 + 71440*m/7 + 72200/7 = 0.
-1, 190
Factor 4*y**2/7 + 1902*y/7 - 136.
2*(y + 476)*(2*y - 1)/7
Factor -6*f**5/11 + 96*f**4/11 + 210*f**3/11 + 108*f**2/11.
-6*f**2*(f - 18)*(f + 1)**2/11
Suppose 6*s**4/13 + 17402*s**3/13 + 12603390*s**2/13 - 21042402*s/13 + 8421604/13 = 0. Calculate s.
-1451, 2/3, 1
Let -j**4/3 - j**3 + j**2 + 7*j/3 - 2 = 0. What is j?
-3, -2, 1
Let 2*j**4 + 94*j**3 + 268*j**2 + 176*j = 0. Calculate j.
-44, -2, -1, 0
Let 2*n**4/9 + 5648*n**3/9 + 1993744*n**2/3 + 2815166528*n/9 + 496876892192/9 = 0. Calculate n.
-706
What is s in -s**3 + 5089*s**2 - 6477024*s + 6471936 = 0?
1, 2544
Find y such that 5*y**4/3 - 19*y**3 + 122*y**2/3 + 40*y - 64/3 = 0.
-1, 2/5, 4, 8
Factor