+ 813*y**2/4 + 2825*y/4 + 403 = 0. What is y?
-403, -1, 4
Factor 2*x**5 - 400*x**3 + 20000*x.
2*x*(x - 10)**2*(x + 10)**2
Solve 3*x**4/7 - 246*x**3/7 + 480*x**2/7 = 0 for x.
0, 2, 80
Factor 4*b**4 - 16*b**3 - 24*b**2 + 16*b + 20.
4*(b - 5)*(b - 1)*(b + 1)**2
What is r in r**2/7 + 1389*r/7 - 2782/7 = 0?
-1391, 2
Find i such that 4*i**3 - 32*i**2 - 60*i + 216 = 0.
-3, 2, 9
Factor -2*x**5 + x**4/2 + 5*x**3/2.
-x**3*(x + 1)*(4*x - 5)/2
What is s in -2*s**4/7 + 101*s**3/7 - 424*s**2/7 + 463*s/7 - 138/7 = 0?
1/2, 1, 3, 46
Factor -i**4 + 12*i**3 + 59*i**2 + 78*i + 32.
-(i - 16)*(i + 1)**2*(i + 2)
Solve 125*g**4 + 275*g**3 + 90*g**2 = 0 for g.
-9/5, -2/5, 0
Find x such that -2*x**4 - 2*x**3 + 8*x**2 + 8*x = 0.
-2, -1, 0, 2
Suppose 3*i**5/4 - 3*i**4/2 - 45*i**3/4 - 3*i**2 + 15*i = 0. What is i?
-2, 0, 1, 5
Determine d so that -9*d**3/7 + 24*d**2 - 15*d - 54/7 = 0.
-1/3, 1, 18
Factor -6*n**4 + 106*n**3 - 500*n**2 + 288*n.
-2*n*(n - 9)*(n - 8)*(3*n - 2)
Let k**2/4 - 17*k/4 + 33/2 = 0. Calculate k.
6, 11
Suppose -2*m**5/5 + 26*m**4/5 - 78*m**3/5 - 26*m**2/5 + 16*m = 0. What is m?
-1, 0, 1, 5, 8
Factor -c**4/4 + 25*c**3/4 - 141*c**2/4 + 279*c/4 - 81/2.
-(c - 18)*(c - 3)**2*(c - 1)/4
Factor 2*i**3/7 - 64*i**2/7 - 134*i/7 - 68/7.
2*(i - 34)*(i + 1)**2/7
Find i, given that 2*i**2/11 - 4802*i/11 - 9612/11 = 0.
-2, 2403
Suppose 2*x**3 + 86*x**2 + 158*x - 246 = 0. What is x?
-41, -3, 1
Find k, given that 3*k**2/8 + 18*k - 75/2 = 0.
-50, 2
Factor 4*m**3/5 + 16*m**2 + 148*m/5 + 72/5.
4*(m + 1)**2*(m + 18)/5
Solve z**2/5 - 157*z/5 + 462/5 = 0 for z.
3, 154
Factor u**3/2 + 4*u**2 - u/2 - 4.
(u - 1)*(u + 1)*(u + 8)/2
Solve 10*y**2/7 + 654*y/7 + 260/7 = 0.
-65, -2/5
Factor -18*x**5 - 168*x**4 - 488*x**3 - 448*x**2 - 128*x.
-2*x*(x + 4)**2*(3*x + 2)**2
Factor z**3/4 - 37*z**2/2.
z**2*(z - 74)/4
Factor -n**4 - 56*n**3 - 55*n**2.
-n**2*(n + 1)*(n + 55)
Find b, given that b**2/7 + 1016*b/7 + 258064/7 = 0.
-508
Suppose -2*m**3 - 67*m**2 - 97*m - 32 = 0. What is m?
-32, -1, -1/2
Suppose 4*h**5 - 1592*h**4 + 166064*h**3 - 1505440*h**2 = 0. What is h?
0, 10, 194
Factor -2*b**4/15 - 1772*b**3/15 - 131422*b**2/5 - 783224*b/15 - 390728/15.
-2*(b + 1)**2*(b + 442)**2/15
Factor 9*c**3 - 2769*c**2 + 4596*c - 1836.
3*(c - 306)*(c - 1)*(3*c - 2)
Factor 2*x**2 + 466*x + 924.
2*(x + 2)*(x + 231)
Factor -5*y**4 + 60*y**3 - 210*y**2 + 260*y - 105.
-5*(y - 7)*(y - 3)*(y - 1)**2
Factor 7*h**2 + 41*h - 6.
(h + 6)*(7*h - 1)
Factor -3*u**3/5 + 84*u**2/5 - 768*u/5 + 2304/5.
-3*(u - 12)*(u - 8)**2/5
Factor c**5/2 - 183*c**4 + 32373*c**3/2 + 102114*c**2 + 155682*c.
c*(c - 186)**2*(c + 3)**2/2
Determine v, given that -v**3/6 - 7*v**2/6 - 11*v/6 - 5/6 = 0.
-5, -1
Determine w, given that w**3/3 - 58*w**2/3 - 244*w/3 - 248/3 = 0.
-2, 62
Factor i**4/2 + 3*i**3 + 13*i**2/2 + 6*i + 2.
(i + 1)**2*(i + 2)**2/2
Factor 4*d**3 - 1504*d**2 + 139860*d + 285768.
4*(d - 189)**2*(d + 2)
Determine z, given that 3*z**4/7 - 135*z**3/7 + 129*z**2/7 + 135*z/7 - 132/7 = 0.
-1, 1, 44
Determine s so that 2*s**2/9 + 940*s/9 - 314/3 = 0.
-471, 1
Suppose 6*t**3/11 + 1952*t**2/11 + 410*t - 3876/11 = 0. What is t?
-323, -3, 2/3
Factor b**5/2 - b**4 - 5*b**3/2 + 3*b**2.
b**2*(b - 3)*(b - 1)*(b + 2)/2
Factor -3*b**3 - 219*b**2 + 450*b.
-3*b*(b - 2)*(b + 75)
Factor h**3/3 - 2018*h**2/3 - h/3 + 2018/3.
(h - 2018)*(h - 1)*(h + 1)/3
Factor -172*p**2 - 356*p - 24.
-4*(p + 2)*(43*p + 3)
Factor -6*k**2/7 - 202*k/21 - 44/21.
-2*(k + 11)*(9*k + 2)/21
Factor u**3/2 - 167*u**2/2 + 83*u.
u*(u - 166)*(u - 1)/2
Find k, given that -2*k**2/5 - 398*k/5 + 80 = 0.
-200, 1
Let 15488*b**3 - 36256*b**2/5 + 2202*b/5 - 36/5 = 0. Calculate b.
3/88, 2/5
Suppose 3*j**2/5 - 366*j/5 - 5712/5 = 0. Calculate j.
-14, 136
Let -2*s**5/7 + 6*s**4/7 + 110*s**3/7 + 282*s**2/7 + 180*s/7 = 0. Calculate s.
-3, -1, 0, 10
Solve 2*o**4/7 - 12*o**3/7 + 16*o**2/7 + 12*o/7 - 18/7 = 0 for o.
-1, 1, 3
Find v, given that -5*v**4 + 275*v**3 + 2170*v**2 = 0.
-7, 0, 62
Factor 3*o**2 + 21*o - 54.
3*(o - 2)*(o + 9)
Factor 2*a**5/5 - 8*a**4/5 - 2*a**3.
2*a**3*(a - 5)*(a + 1)/5
Find w such that 25*w**5/4 + 20*w**4 - 33*w**3 - 56*w**2 - 16*w = 0.
-4, -4/5, -2/5, 0, 2
Suppose 3*i**2 - 48*i + 189 = 0. Calculate i.
7, 9
Find m such that -2*m**2 - 26*m + 136 = 0.
-17, 4
Suppose -3*b**4 - 2124*b**3 - 6345*b**2 + 12*b + 8460 = 0. What is b?
-705, -2, 1
Determine t, given that -t**4/8 - 283*t**3/8 - 699*t**2/4 - 557*t/2 - 139 = 0.
-278, -2, -1
Solve 20*o**2 - 8568*o + 3424 = 0 for o.
2/5, 428
What is k in 3*k**5 + 12*k**4 + 3*k**3 - 42*k**2 - 60*k - 24 = 0?
-2, -1, 2
Let o**5/4 - 4*o**4 + 89*o**3/4 - 103*o**2/2 + 51*o - 18 = 0. What is o?
1, 2, 6
Factor -r**2 + 6*r - 8.
-(r - 4)*(r - 2)
Suppose -2*f**4 + 148*f**3 - 290*f**2 + 144*f = 0. What is f?
0, 1, 72
Factor -2*o**4/3 + 10*o**3/3 - 4*o**2/3 - 16*o/3.
-2*o*(o - 4)*(o - 2)*(o + 1)/3
Factor 4*o**3 - 32*o**2 - 464*o - 768.
4*(o - 16)*(o + 2)*(o + 6)
Factor -2*v**2 + 516*v + 1566.
-2*(v - 261)*(v + 3)
Solve -j**2/2 + 17*j/2 - 8 = 0 for j.
1, 16
Solve 8*i**2 + 1444*i - 724 = 0.
-181, 1/2
Factor 17*h**2 - h/2.
h*(34*h - 1)/2
Factor 2*b**2/19 + 8*b/19 - 10/19.
2*(b - 1)*(b + 5)/19
Factor -p**2/5 - 652*p - 531380.
-(p + 1630)**2/5
Let -2*w**2/15 + 86*w/15 = 0. What is w?
0, 43
Factor -g**4/8 - 39*g**3/4 - 19*g**2/2 + 39*g/4 + 77/8.
-(g - 1)*(g + 1)**2*(g + 77)/8
Find g, given that -3*g**2 + 135*g - 258 = 0.
2, 43
Factor 4*r**5 - 324*r**4 - 712*r**3 + 4040*r**2 - 4668*r + 1660.
4*(r - 83)*(r - 1)**3*(r + 5)
Let -49*i**5 + 861*i**4 + 500*i**3 - 2256*i**2 + 1088*i - 144 = 0. What is i?
-2, 2/7, 1, 18
Solve 12*n**2 - 2020*n/7 + 96/7 = 0.
1/21, 24
Factor -578*y**3/19 + 1088*y**2/19 + 134*y/19 + 4/19.
-2*(y - 2)*(17*y + 1)**2/19
Factor -5*y**2 + 4055*y - 4050.
-5*(y - 810)*(y - 1)
Find l, given that -135*l**4/4 - 165*l**3/4 - 25*l**2/4 + 5*l/4 = 0.
-1, -1/3, 0, 1/9
Factor -3*s**2/8 - 201*s/8.
-3*s*(s + 67)/8
Factor -3*k**2/4 + 195*k/4 + 99/2.
-3*(k - 66)*(k + 1)/4
Suppose 2*n**2/17 - 4*n/17 = 0. What is n?
0, 2
Let -g**4/2 + 4*g**3 + 5*g**2 - 4*g - 9/2 = 0. What is g?
-1, 1, 9
Determine z so that -3*z**4 - 1224*z**3 - 4860*z**2 - 4848*z = 0.
-404, -2, 0
Solve -q**5 + 10*q**4 + 106*q**3/9 - 8*q**2 - 19*q/3 + 22/9 = 0 for q.
-1, 1/3, 2/3, 11
Solve -2*k**3 + 8*k**2 - 2*k - 12 = 0.
-1, 2, 3
Let l**5/2 - 5*l**4 - 33*l**3/2 + 53*l**2 + 16*l - 48 = 0. What is l?
-4, -1, 1, 2, 12
Suppose -2*f**2/5 - 38*f/5 + 184/5 = 0. Calculate f.
-23, 4
Find g, given that 9*g**4/2 - 111*g**3 + 72*g**2 = 0.
0, 2/3, 24
Determine s so that 2*s**4 + 90*s**3 + 532*s**2 = 0.
-38, -7, 0
Factor s**3/4 + 46*s**2 - s/4 - 46.
(s - 1)*(s + 1)*(s + 184)/4
Factor 2*a**2 - 48*a + 46.
2*(a - 23)*(a - 1)
Suppose 4*i**2 + 504*i + 500 = 0. Calculate i.
-125, -1
Suppose -i**4/4 - i**3/4 = 0. Calculate i.
-1, 0
Suppose h**5/7 + 13*h**4/7 + 54*h**3/7 + 92*h**2/7 + 8*h = 0. Calculate h.
-7, -2, 0
Factor -r**4 + 24*r**3 - 66*r**2 + 64*r - 21.
-(r - 21)*(r - 1)**3
Factor -5*g**3 + 35*g**2 + 40*g.
-5*g*(g - 8)*(g + 1)
Suppose -f**5/5 - 3*f**4/5 - 2*f**3/5 + 2*f**2/5 + 3*f/5 + 1/5 = 0. What is f?
-1, 1
Factor -3*p**4 - 12*p**3 - 15*p**2 - 6*p.
-3*p*(p + 1)**2*(p + 2)
Factor 3*s**2/2 - 15*s/2 + 6.
3*(s - 4)*(s - 1)/2
Find y, given that 2*y**4 + 52*y**3 + 336*y**2 + 460*y - 850 = 0.
-17, -5, 1
Find k such that k**3/7 - 3*k**2 - 97*k/7 - 75/7 = 0.
-3, -1, 25
Determine h, given that 169*h**3/4 - 195*h**2/2 + 27*h - 2 = 0.
2/13, 2
Factor f**3/3 + f**2/2 - f/2 - 1/3.
(f - 1)*(f + 2)*(2*f + 1)/6
Factor p**2 + 1756*p + 1755.
(p + 1)*(p + 1755)
Factor -4*h**2 - 5400*h + 10816.
-4*(h - 2)*(h + 1352)
Factor -k**2/4 - 211*k - 44521.
-(k + 422)**2/4
Factor 5*y**5 + 80*y**4 + 390*y**3 + 740*y**2 + 605*y + 180.
5*(y + 1)**3*(y + 4)*(y + 9)
Let 2*x**3/5 - 16*x**2/5 + 42*x/5 - 36/5 = 0. What is x?
2, 3
Factor 3*a**3/2 - 3*a**2/2 - 66*a - 144.
3*(a - 8)*(a + 3)*(a + 4)/2
Suppose q**5/2 + 191*q**4 + 761*q**3/2 + 190*q**2 = 0. Calculate q.
-380, -1, 0
What is c in 5*c**2 - 80*c + 320 = 0?
8
Let -i**3 - 167*i**2 - 6888*i + 7056 = 0. Calculate i.
-84, 1
Suppose -h**3 - 24*h**2 - 101*h - 114 = 0. Calculate h.
-19, -3, -2
Let -4*j**3 - 1036*j**2 = 0. Calculate j.
-259, 0
Factor -2*f**5/13 + 276*f**4/13 + 278*f**3/13.
-2*f**3*(f - 139)*(f + 1)/13
Factor 2*i**2/7 - 18*i/7 + 4.
2*(i - 7)*(i - 2)/7
Factor -3*x**3/4 + 27*