*s**2/2 + 5*s + 12.
-(s - 3)*(s + 2)*(s + 4)/2
Factor 2*u**4/5 - 1724*u**3/5 + 495936*u**2/5 - 9554804*u + 47279806/5.
2*(u - 287)**3*(u - 1)/5
Factor w**5/4 - 5*w**4/2 + 37*w**3/4 - 15*w**2 + 9*w.
w*(w - 3)**2*(w - 2)**2/4
Find v, given that 2*v**5 + 2*v**4 - 10*v**3 - 10*v**2 + 8*v + 8 = 0.
-2, -1, 1, 2
Factor -8*h**2 + 2*h.
-2*h*(4*h - 1)
Factor -5*o**2/6 + 5533*o/6 + 369.
-(o - 1107)*(5*o + 2)/6
Factor -2*v**3 + 8*v**2.
-2*v**2*(v - 4)
Solve -2*p**5/3 + 4*p**4/3 + 24*p**3 + 172*p**2/3 + 154*p/3 + 16 = 0.
-3, -1, 8
Factor -2*g**5/5 - 28*g**4/5 - 24*g**3 - 144*g**2/5.
-2*g**2*(g + 2)*(g + 6)**2/5
What is i in 2*i**5 + 1488*i**4 + 276768*i**3 = 0?
-372, 0
Suppose -2*t**2/5 + 554*t/5 + 556/5 = 0. What is t?
-1, 278
Factor 5*k**4 + 20*k**3 - 5*k**2 - 20*k.
5*k*(k - 1)*(k + 1)*(k + 4)
Find q, given that q**3 + 21*q**2 + 99*q - 121 = 0.
-11, 1
Let 2*r**3/3 - 2822*r**2/3 = 0. What is r?
0, 1411
Find v such that -2*v**2 - 452*v - 1338 = 0.
-223, -3
Factor 465*k**2 + 12*k.
3*k*(155*k + 4)
Factor -8*x**4/5 + 48*x**3/5 + 54*x**2/5 + 14*x/5.
-2*x*(x - 7)*(2*x + 1)**2/5
Factor y**3/5 + 51*y**2/5 + 99*y/5 + 49/5.
(y + 1)**2*(y + 49)/5
Let -5*t**5/6 - 13*t**4/6 + 41*t**3/6 + 61*t**2/6 - 20*t + 6 = 0. What is t?
-3, 2/5, 1, 2
Determine x, given that 2*x**5/13 + 6*x**4/13 - 204*x**3/13 - 1552*x**2/13 - 3648*x/13 - 2304/13 = 0.
-6, -4, -1, 12
Suppose -a**4 + 17*a**3 - 15*a**2 - 17*a + 16 = 0. Calculate a.
-1, 1, 16
Factor 3*l**4 + 1668*l**3 + 230166*l**2 - 472068*l - 700569.
3*(l - 3)*(l + 1)*(l + 279)**2
Find f such that 5*f**3 + 10*f**2 + 5*f = 0.
-1, 0
Determine n, given that -2*n**2/5 - 6478*n/5 - 6476/5 = 0.
-3238, -1
Factor 4*y**2 - 4*y - 48.
4*(y - 4)*(y + 3)
What is l in 2*l**3/15 + 1048*l**2/5 + 549152*l/5 + 287755648/15 = 0?
-524
Find m, given that 4*m**3 + 4*m**2 - 8*m = 0.
-2, 0, 1
Find d such that 100*d**2 + 20*d + 1 = 0.
-1/10
Find o such that 18*o**5/7 - 1686*o**4/7 + 9110*o**3/7 - 11850*o**2/7 + 5112*o/7 - 704/7 = 0.
1/3, 1, 4, 88
Find x such that 4*x**5 + 20*x**4 + 12*x**3 - 20*x**2 - 16*x = 0.
-4, -1, 0, 1
Factor 4*s**2 - 16*s - 48.
4*(s - 6)*(s + 2)
Factor v**5 - 17*v**4 - 2*v**3 + 898*v**2 - 1727*v + 847.
(v - 11)**2*(v - 1)**2*(v + 7)
Let 5*y**2/4 - 185*y + 6845 = 0. Calculate y.
74
Solve -7569*c**4/4 + 4089*c**3/2 - 3253*c**2/4 + 141*c - 9 = 0.
6/29, 1/3
Determine w so that -2*w**4/13 - 14*w**3/13 - 30*w**2/13 - 18*w/13 = 0.
-3, -1, 0
Factor 5*d**2 - 390*d - 395.
5*(d - 79)*(d + 1)
Determine i so that 2*i**3/3 + 560*i**2/3 + 36250*i/3 - 420500/3 = 0.
-145, 10
Find z, given that 63*z**3/4 - 93*z**2/4 + 33*z/4 - 3/4 = 0.
1/7, 1/3, 1
Factor 25*z**2/4 - 55*z.
5*z*(5*z - 44)/4
Let -3*z**2 + 3 = 0. Calculate z.
-1, 1
Solve 2*r**5/3 + 14*r**4 + 26*r**3 + 38*r**2/3 = 0.
-19, -1, 0
Suppose 3*r**4/7 - 30*r**3/7 + 48*r**2/7 = 0. What is r?
0, 2, 8
Factor -3*v**4 + 30*v**3 + 261*v**2 + 432*v.
-3*v*(v - 16)*(v + 3)**2
Find x such that -4*x**5 + 300*x**4 - 5764*x**3 + 4884*x**2 + 10952*x = 0.
-1, 0, 2, 37
Solve v**4/2 + v**3/2 - 3*v**2/2 - 5*v/2 - 1 = 0.
-1, 2
Determine n, given that -2*n**2 + 326*n + 1336 = 0.
-4, 167
Factor 4*o**4/7 - 48*o**2/7 + 64*o/7.
4*o*(o - 2)**2*(o + 4)/7
Solve 4*x**3 - 8*x**2 - 192*x = 0 for x.
-6, 0, 8
Solve -2*h**5/7 + 2*h**4 - 80*h**2/7 + 32*h/7 + 96/7 = 0.
-2, -1, 2, 6
Solve -4*v**2 + 76*v - 336 = 0 for v.
7, 12
Suppose 8*n**5 - 46*n**4 - 132*n**3 - 94*n**2 - 16*n = 0. Calculate n.
-1, -1/4, 0, 8
Factor 20*i**3 - 2480*i**2 - 2495*i - 625.
5*(i - 125)*(2*i + 1)**2
Solve 4*z**5/9 - 4*z**4/3 - 4*z**3/3 + 28*z**2/9 + 8*z/3 = 0.
-1, 0, 2, 3
Factor 4*l**2 + 120*l + 116.
4*(l + 1)*(l + 29)
Let -j**4 - 7*j**3 - 17*j**2 - 17*j - 6 = 0. Calculate j.
-3, -2, -1
Factor 57*j**2/2 - 243*j/2 + 93.
3*(j - 1)*(19*j - 62)/2
Find i such that i**5/5 + 6*i**4/5 + 9*i**3/5 = 0.
-3, 0
Factor -r**3/8 + 99*r**2/4 - 9801*r/8.
-r*(r - 99)**2/8
Factor 4*d**3 - 88*d**2 - 92*d.
4*d*(d - 23)*(d + 1)
Factor z**5 + 7*z**4 + 7*z**3 - 23*z**2 - 8*z + 16.
(z - 1)**2*(z + 1)*(z + 4)**2
Suppose 3*i**2 + 666*i = 0. What is i?
-222, 0
Solve -3*i**3/4 + 775*i**2/4 - 50181*i/4 + 16641/4 = 0.
1/3, 129
Factor 2*h**2/13 - 140*h/13 - 142/13.
2*(h - 71)*(h + 1)/13
What is n in 3*n**2 - 57*n - 126 = 0?
-2, 21
Solve -3*h**3/2 - 99*h**2/2 - 324*h + 1458 = 0 for h.
-18, 3
Factor -33*i**5 - 180*i**4 - 390*i**3 - 420*i**2 - 225*i - 48.
-3*(i + 1)**4*(11*i + 16)
Find m such that 16*m**4 + 2556*m**3 - 5808*m**2 + 3884*m - 648 = 0.
-162, 1/4, 1
Find h such that -2*h**5/13 + 66*h**4/13 + 146*h**3/13 - 210*h**2/13 = 0.
-3, 0, 1, 35
Solve -4*a**2 - 96*a - 92 = 0 for a.
-23, -1
Determine s, given that 15*s**5/4 + 20*s**4 + 45*s**3/4 - 40*s**2 - 15*s + 20 = 0.
-4, -2, -1, 2/3, 1
Suppose 4*x**2/3 + 3584*x/3 + 802816/3 = 0. Calculate x.
-448
Factor -u**3/8 + 31*u**2/8 - 79*u/4 + 25.
-(u - 25)*(u - 4)*(u - 2)/8
Factor -363*p**3 + 17292*p**2 + 6324*p + 576.
-3*(p - 48)*(11*p + 2)**2
Suppose -5*q**5/2 + 295*q**4/2 - 5375*q**3/2 + 21105*q**2/2 + 79380*q + 92610 = 0. Calculate q.
-2, 21
Determine g so that 2*g**2/13 - 30*g + 772/13 = 0.
2, 193
Factor z**3/3 - z**2/3 - 16*z/3 - 20/3.
(z - 5)*(z + 2)**2/3
Factor 3*p**5 - 30*p**4 + 108*p**3 - 162*p**2 + 81*p.
3*p*(p - 3)**3*(p - 1)
What is t in 2*t**2/5 - 54*t/5 - 56/5 = 0?
-1, 28
Factor 128*q**4/5 - 288*q**3/5 + 42*q**2 - 10*q.
2*q*(q - 1)*(8*q - 5)**2/5
Suppose 5*h**3 + 1065*h**2 - 1080*h - 2140 = 0. What is h?
-214, -1, 2
Let 2*w**3/13 - 6*w**2 - 80*w/13 = 0. Calculate w.
-1, 0, 40
Factor 5*x**3 + 465*x**2 - 500*x - 2820.
5*(x - 3)*(x + 2)*(x + 94)
Factor -1238*v**3/19 + 2472*v**2/19 + 8*v/19.
-2*v*(v - 2)*(619*v + 2)/19
Let -b**5/4 + 25*b**4/4 - 41*b**3/2 - 459*b**2/2 - 1485*b/4 - 675/4 = 0. What is b?
-3, -1, 15
Suppose -y**5/3 + 188*y**4 - 1123*y**3/3 - 188*y**2 + 1124*y/3 = 0. What is y?
-1, 0, 1, 2, 562
What is w in w**5 + 54*w**4 + 1017*w**3 + 8208*w**2 + 27216*w + 31104 = 0?
-24, -12, -3
Factor 4*m**2 + 152*m - 156.
4*(m - 1)*(m + 39)
Determine o so that -5*o**2 + 16895*o = 0.
0, 3379
Solve -3*v**3 - 1260*v**2 - 176400*v - 8232000 = 0 for v.
-140
Factor y**2/3 + 1624*y/3 + 3244/3.
(y + 2)*(y + 1622)/3
Factor 7*h**2/2 + 2529*h/2 + 361.
(h + 361)*(7*h + 2)/2
Factor -a**2/5 - 314*a/5 - 24649/5.
-(a + 157)**2/5
Factor -27*l**2 + 225*l - 1875/4.
-3*(6*l - 25)**2/4
Suppose u**3/7 + 6*u**2/7 = 0. Calculate u.
-6, 0
Factor -9375*y**5 + 5287500*y**4 - 1192860000*y**3 + 134554608000*y**2 - 7588879891200*y + 171205130345472.
-3*(5*y - 564)**5
Suppose 2*j**5/19 - 110*j**4/19 + 2340*j**3/19 - 23660*j**2/19 + 109850*j/19 - 171366/19 = 0. Calculate j.
3, 13
Factor -20*c**3 + 628*c**2 - 248*c.
-4*c*(c - 31)*(5*c - 2)
Factor -5*j**3/2 - 1275*j**2/2 - 108375*j/2 - 3070625/2.
-5*(j + 85)**3/2
Factor 5*c**5 - 15*c**4 - 110*c**3 - 190*c**2 - 135*c - 35.
5*(c - 7)*(c + 1)**4
Determine z so that -4*z**4/9 - 20*z**3/9 - 4*z**2 - 28*z/9 - 8/9 = 0.
-2, -1
Let -125*d**4/4 - 17475*d**3/4 + 47415*d**2/2 + 21055*d + 4350 = 0. Calculate d.
-145, -2/5, 6
Factor -100*w**2 - 84*w + 16.
-4*(w + 1)*(25*w - 4)
Factor -x**4 - 905*x**3/4 - 25651*x**2/2 - 12769*x/4.
-x*(x + 113)**2*(4*x + 1)/4
Factor 4*l**3 - 8*l**2 - 204*l - 432.
4*(l - 9)*(l + 3)*(l + 4)
Suppose 2*l**4/13 - 174*l**3/13 + 2944*l**2/13 = 0. What is l?
0, 23, 64
Find n, given that -5*n**3 + 60*n**2 + 65*n = 0.
-1, 0, 13
Factor 3*u**3 + 69*u**2 - 246*u - 312.
3*(u - 4)*(u + 1)*(u + 26)
What is b in -b**3/3 - 7*b**2/3 - 11*b/3 - 5/3 = 0?
-5, -1
Let -20*p**2 + 5*p = 0. Calculate p.
0, 1/4
Suppose 2*g**4/9 + 58*g**3/9 - 422*g**2/3 - 2698*g/9 - 1376/9 = 0. What is g?
-43, -1, 16
Factor v**2/6 + 905*v/3 + 819025/6.
(v + 905)**2/6
Solve -81*z**5/2 + 117*z**4/2 + 365*z**3/2 + 67*z**2/2 - 44*z + 6 = 0.
-1, 2/9, 3
Factor -3*i**4 - 324*i**3 + 1284*i**2 + 541728*i - 8386752.
-3*(i - 22)**2*(i + 76)**2
Find h such that 2*h**5 - 10*h**4 - 150*h**3 + 170*h**2 + 308*h = 0.
-7, -1, 0, 2, 11
Determine y, given that -2*y**2/11 - 118*y/11 - 116/11 = 0.
-58, -1
Let -9*o**2/7 + 192*o/7 - 1024/7 = 0. What is o?
32/3
Factor -7*y**2/3 + 331*y/3 + 338/3.
-(y + 1)*(7*y - 338)/3
Solve -5*d**3 - 30*d**2 - 45*d - 20 = 0.
-4, -1
Factor y**2/4 + 301*y + 90601.
(y + 602)**2/4
Suppose -4*f**3 - 104*f**2 - 196*f - 96 = 0. Calculate f.
-24, -1
Factor -3*f**2 + 1854*f - 3696.
-3*(f - 616)*(f - 2)
Solve -w**5 + 5*w**3 - 4*w = 0.
-2, -1