 0
Let 288*u**3 - 240*u**2 - 1534*u - 1014 = 0. Calculate u.
-13/12, 3
Determine v, given that -v**2/3 + 40*v/3 = 0.
0, 40
Find r, given that r**5/8 + 3*r**4/4 + r**3 - 2*r**2 - 6*r - 4 = 0.
-2, 2
Suppose w**4/7 + 50*w**3/7 + 263*w**2/7 - 50*w/7 - 264/7 = 0. Calculate w.
-44, -6, -1, 1
Determine c, given that -2*c**4 + 10*c**3 + 74*c**2 - 10*c - 72 = 0.
-4, -1, 1, 9
Factor 5*f**2 - 75*f + 180.
5*(f - 12)*(f - 3)
Factor -50*l**4 + 18560*l**3 - 1714928*l**2 - 1380864*l - 276768.
-2*(l - 186)**2*(5*l + 2)**2
Factor -4*m**2 + 3160*m - 624100.
-4*(m - 395)**2
Factor -2*t**2/13 - 1224*t/13 - 187272/13.
-2*(t + 306)**2/13
Determine q so that 7*q**4/6 - 11*q**3 - 43*q**2/6 + 5*q = 0.
-1, 0, 3/7, 10
Suppose 2*m**5 - 36*m**4 - 128*m**3 + 36*m**2 + 126*m = 0. What is m?
-3, -1, 0, 1, 21
Solve -n**2/5 - 6*n/5 - 9/5 = 0.
-3
Determine z so that 15*z**2 + 72*z + 432/5 = 0.
-12/5
Suppose 3*m**4/5 + 1536*m**3/5 + 195063*m**2/5 - 396294*m/5 = 0. Calculate m.
-257, 0, 2
Suppose -24*z**5 - 1140*z**4 + 1746*z**3 - 879*z**2 + 147*z = 0. Calculate z.
-49, 0, 1/2
Solve -3*o**2/2 - 519*o/2 + 1611 = 0 for o.
-179, 6
Factor -u**4/8 - u**3 - 3*u**2/4 + u + 7/8.
-(u - 1)*(u + 1)**2*(u + 7)/8
Determine c, given that 5*c**2 - 610*c + 18605 = 0.
61
Factor -4*t**2 - 276*t - 272.
-4*(t + 1)*(t + 68)
Factor -5*q**4 - 10*q**3 + 35*q**2 + 100*q + 60.
-5*(q - 3)*(q + 1)*(q + 2)**2
Find k, given that k**2/3 - 38*k/3 + 37/3 = 0.
1, 37
Find h, given that 2*h**5/7 - 4*h**4/7 - 16*h**3/7 = 0.
-2, 0, 4
Factor -y**3 + 292*y**2 + 295*y - 586.
-(y - 293)*(y - 1)*(y + 2)
Find x such that 3*x**4/2 - 6*x**3 + 24*x - 24 = 0.
-2, 2
Factor 24*k**4 + 76*k**3 + 12*k**2.
4*k**2*(k + 3)*(6*k + 1)
Factor o**2/2 - 44*o - 89/2.
(o - 89)*(o + 1)/2
Find v such that 2*v**3/7 + 88*v**2/7 + 160*v + 3200/7 = 0.
-20, -4
Solve 45*i**5 - 2010*i**4 - 4855*i**3 - 3740*i**2 - 940*i = 0.
-1, -2/3, 0, 47
Factor -10*i**2 - 115*i - 105.
-5*(i + 1)*(2*i + 21)
What is g in -g**5 + 4*g**4 + 18*g**3 + 20*g**2 + 7*g = 0?
-1, 0, 7
Determine d, given that 140*d**3 - 4*d**2 = 0.
0, 1/35
Solve 2*o**4/7 + 76*o**3/7 + 722*o**2/7 = 0 for o.
-19, 0
Factor 44*z**3/7 + 184*z**2/7 + 208*z/7 + 32/7.
4*(z + 2)**2*(11*z + 2)/7
Find u such that -4*u**3 + 4*u = 0.
-1, 0, 1
Factor 5*y**4 + 10*y**3 - 60*y**2 + 70*y - 25.
5*(y - 1)**3*(y + 5)
Find k such that -5*k**5 + 45*k**4 - 95*k**3 - 45*k**2 + 100*k = 0.
-1, 0, 1, 4, 5
Factor -h**4/11 - 249*h**3/11 + 753*h**2/11 - 755*h/11 + 252/11.
-(h - 1)**3*(h + 252)/11
Determine s, given that -6*s**4/13 - 4*s**3/13 + 98*s**2/13 - 152*s/13 + 40/13 = 0.
-5, 1/3, 2
Find h such that 6*h**4/11 + 116*h**3/11 - 2858*h**2/11 + 4504*h/11 - 1768/11 = 0.
-34, 2/3, 1, 13
Solve -4*b**2/7 - 116*b/7 - 16 = 0 for b.
-28, -1
Factor -2*j**3 + 112*j**2 - 1674*j + 2916.
-2*(j - 27)**2*(j - 2)
Suppose -w**2/2 + 19*w/2 - 9 = 0. Calculate w.
1, 18
Factor -n**5 + 4*n**4 - 4*n**3 - 2*n**2 + 5*n - 2.
-(n - 2)*(n - 1)**3*(n + 1)
Factor -2*z**2 + 13476*z - 22700322.
-2*(z - 3369)**2
Let 37*y**5 + 220*y**4 + 321*y**3 - 18*y**2 = 0. What is y?
-3, 0, 2/37
What is g in -21*g**4/10 + g**3 + 37*g**2/10 - g - 8/5 = 0?
-1, -2/3, 1, 8/7
Factor q**2/4 + 69*q/4 - 54.
(q - 3)*(q + 72)/4
Factor 2*d**2 + 478*d + 1880.
2*(d + 4)*(d + 235)
Factor -2*v**3/3 - v**2 + v + 2/3.
-(v - 1)*(v + 2)*(2*v + 1)/3
Suppose 2*p**2/3 - 716*p = 0. Calculate p.
0, 1074
Factor 324*q**3 + 900*q**2 - 212*q + 12.
4*(q + 3)*(9*q - 1)**2
What is q in -2*q**3/11 + 18*q**2/11 + 20*q/11 = 0?
-1, 0, 10
Find d, given that -5*d**4 - 155*d**3 - 685*d**2 - 925*d - 390 = 0.
-26, -3, -1
Factor 2*x**4 + 574*x**3 + 2836*x**2 + 4520*x + 2256.
2*(x + 1)*(x + 2)**2*(x + 282)
Let 2*i**4/7 + 8*i**3/7 - 6*i**2 - 208*i/7 - 160/7 = 0. Calculate i.
-4, -1, 5
Factor 2*d**3/5 + 17*d**2/10 + 23*d/10 + 1.
(d + 1)*(d + 2)*(4*d + 5)/10
Factor 4*z**2 - 20*z.
4*z*(z - 5)
Factor s**4/2 - 11*s**3/2 + 45*s**2/2 - 81*s/2 + 27.
(s - 3)**3*(s - 2)/2
Solve -3*k**5/5 - 33*k**4 + 9*k**3/5 + 489*k**2/5 - 66*k = 0.
-55, -2, 0, 1
Factor 4*f**2/5 + 12064*f/5 - 12068/5.
4*(f - 1)*(f + 3017)/5
Solve 2*q**4/5 + 144*q**3/5 - 764*q**2/5 + 96*q + 1386/5 = 0 for q.
-77, -1, 3
Factor -5*p**3 + 95*p**2 + 225*p - 315.
-5*(p - 21)*(p - 1)*(p + 3)
Factor -21*j**3/2 + 1923*j**2/2 + 414*j.
-3*j*(j - 92)*(7*j + 3)/2
Find f such that -4*f**5/5 - 154*f**4/15 - 466*f**3/15 - 482*f**2/15 - 122*f/15 + 12/5 = 0.
-9, -2, -1, 1/6
Suppose 3*r**4/5 - 56*r**3/5 + 27*r**2 - 114*r/5 + 32/5 = 0. What is r?
2/3, 1, 16
Factor r**4/2 - 5*r**3/2 - 13*r**2/2 - 7*r/2.
r*(r - 7)*(r + 1)**2/2
Factor 8*a**3/13 - 14*a**2/13 + 4*a/13 + 2/13.
2*(a - 1)**2*(4*a + 1)/13
Determine p so that 3*p**3 - 210*p**2 + 408*p = 0.
0, 2, 68
Factor -5*y**4 + 15*y**3 + 35*y**2 - 75*y - 90.
-5*(y - 3)**2*(y + 1)*(y + 2)
Factor 6*n**3 - 182*n**2/3 + 512*n/3 - 440/3.
2*(n - 2)**2*(9*n - 55)/3
Find h such that 6*h**2 - 104*h + 258 = 0.
3, 43/3
Factor -3*p**4/2 - 3294*p**3 + 9891*p**2 - 9894*p + 6597/2.
-3*(p - 1)**3*(p + 2199)/2
Solve 5*u**3 - 1170*u**2 + 91260*u - 2372760 = 0 for u.
78
Factor 3*g**3 + 10*g**2 + 3*g.
g*(g + 3)*(3*g + 1)
Factor -n**2/2 + 145*n/2 - 72.
-(n - 144)*(n - 1)/2
Let -3*o**5/4 - 723*o**4/4 - 711*o**3/4 + 2175*o**2/4 + 1803*o/2 + 360 = 0. What is o?
-240, -1, 2
Factor 18*j**2 + 552*j + 4232.
2*(3*j + 46)**2
Let -4*j**3 + 8*j**2 + 84*j + 72 = 0. What is j?
-3, -1, 6
Factor 2*h**3 - 192*h**2 - 194*h.
2*h*(h - 97)*(h + 1)
What is y in y**2/3 + 8*y/3 - 3 = 0?
-9, 1
Factor 14*s**2/5 - 25*s - 9/5.
(s - 9)*(14*s + 1)/5
Factor 3*d**2/4 + 975*d/2 + 316875/4.
3*(d + 325)**2/4
Find q such that 224720*q**2/3 + 2120*q + 15 = 0.
-3/212
Factor 12*b**4 + 56*b**3 + 92*b**2 + 64*b + 16.
4*(b + 1)**2*(b + 2)*(3*b + 2)
Factor 2*q**2/3 + 62*q/3 + 20.
2*(q + 1)*(q + 30)/3
Find u, given that 2*u**3/7 + 6*u**2/7 - 20*u/7 = 0.
-5, 0, 2
Factor 5*o**2 + 1640*o - 1645.
5*(o - 1)*(o + 329)
Factor -3*i**2 + 2631*i + 2634.
-3*(i - 878)*(i + 1)
Let u**2 - 2*u - 8 = 0. What is u?
-2, 4
Factor y**3 + 70*y**2 + 319*y - 390.
(y - 1)*(y + 6)*(y + 65)
What is n in 3*n**3 - 15*n**2 - 3*n + 15 = 0?
-1, 1, 5
Factor 2*f**3/11 - 1026*f**2/11 + 175446*f/11 - 10000422/11.
2*(f - 171)**3/11
Factor -4*i**3/5 - 26*i**2/5 - 44*i/5 - 16/5.
-2*(i + 2)*(i + 4)*(2*i + 1)/5
Solve -4*z**3 + 24*z**2 - 20*z = 0 for z.
0, 1, 5
Factor 13*h**3/4 + 7*h**2/2 - 77*h/4 - 3/2.
(h - 2)*(h + 3)*(13*h + 1)/4
Factor 5*q**3 - 75*q**2 + 70*q.
5*q*(q - 14)*(q - 1)
Solve -5*x**2 + 5385*x = 0 for x.
0, 1077
Factor 2*j**4/5 - 44*j**3/5 - 144*j**2/5 - 148*j/5 - 10.
2*(j - 25)*(j + 1)**3/5
Determine a so that 3*a**2 - 306*a + 7803 = 0.
51
Factor -4*w**2 - 4*w + 2600.
-4*(w - 25)*(w + 26)
Suppose -2*o**5/7 + 2*o**4 + 34*o**3/7 - 166*o**2/7 + 184*o/7 - 64/7 = 0. What is o?
-4, 1, 8
Suppose -4*d**2/3 - 128*d = 0. Calculate d.
-96, 0
Let 8*b**5/7 - 144*b**4/7 + 778*b**3/7 - 1186*b**2/7 + 96*b - 128/7 = 0. Calculate b.
1/2, 1, 8
What is o in 4*o**4 - 272*o**3 + 2448*o**2 - 7552*o + 7424 = 0?
2, 4, 58
Determine u so that 3*u**2/8 - 3*u/8 - 15/2 = 0.
-4, 5
What is b in 2*b**5 + 394*b**4 + 28166*b**3 + 863878*b**2 + 10303760*b + 41075800 = 0?
-59, -10
Solve 100*t**4 - 208*t**3 - 1284*t**2 - 896*t + 80 = 0.
-2, -1, 2/25, 5
Find j such that -2*j**2/5 - 2*j - 8/5 = 0.
-4, -1
Factor 5*a**3 + 45*a**2 + 40*a.
5*a*(a + 1)*(a + 8)
Find r, given that r**3 - r**2 - 12*r = 0.
-3, 0, 4
Let -6*c**4 + 9*c**3/4 + 24*c**2 - 9*c = 0. Calculate c.
-2, 0, 3/8, 2
Suppose -5*f**2 - 1350*f = 0. Calculate f.
-270, 0
What is h in h**3/10 - 639*h**2/5 + 2553*h/10 - 638/5 = 0?
1, 1276
Factor 10*y**3 + 36*y**2 + 18*y.
2*y*(y + 3)*(5*y + 3)
Determine j, given that 5*j**5/3 - 255*j**4 + 31825*j**3/3 - 196775*j**2/3 + 126290*j - 213160/3 = 0.
1, 2, 4, 73
Solve -2*h**4 + 128*h**3 - 2396*h**2 + 11136*h - 15138 = 0 for h.
3, 29
Suppose f**2/4 - f/2 = 0. Calculate f.
0, 2
Determine t, given that -3*t**3 - 489*t**2 + 492*t = 0.
-164, 0, 1
Let 20*v**4 - 16*v**3 - 68*v**2 + 16*v + 48 = 0. What is v?
-6/5, -1, 1, 2
Suppose j**5/4 - 5*j**4/4 - 17*j**3/2 + 47*j**2 - 18*j - 72 = 0. What is j?
-6, -1, 2, 4, 6
Suppose 6*t**5/11 - 24*t**4/11 + 96*t**2/11 - 96*t/11 = 0. What is t?
-2, 0, 2
Factor 4*c**2/5 - 592*c/5 + 21904/5.
4*(c - 74)**2/5
Factor -2*s**4/3 + 40*s**3/3 + 448*s**2/3.
-2*s**2*(s - 28)*(s + 8)/3
Solve 9*l**5/8 + 19*l**4/4 - 19*l**3/8 - 12*l**2 + 13