9 - 4*l**2/3 - 16*l/9 = 0?
-4, -2, -1, 0, 1
Determine o, given that -3*o**3 - 2451*o**2 - 499389*o + 501843 = 0.
-409, 1
Factor 4*c**4 - 4*c**3 - 40*c**2 - 32*c.
4*c*(c - 4)*(c + 1)*(c + 2)
Factor -2*k**2/3 + 1840*k/3 - 1834.
-2*(k - 917)*(k - 3)/3
Let 15*v**5 + 174*v**4 + 648*v**3 + 672*v**2 - 384*v = 0. What is v?
-4, 0, 2/5
Solve -s**4/5 + 51*s**3/5 - 778*s**2/5 + 852*s - 1160 = 0.
2, 10, 29
Factor -8*d**3/5 + 26*d**2/5 - 2*d/5 - 36/5.
-2*(d - 2)*(d + 1)*(4*d - 9)/5
Suppose -u**5/4 + 7*u**4/4 - 11*u**3/4 + 5*u**2/4 = 0. What is u?
0, 1, 5
Factor 5*x**2 - 440*x + 5760.
5*(x - 72)*(x - 16)
Factor r**2 - 11*r + 28.
(r - 7)*(r - 4)
Determine y, given that -5*y**3 - 45*y**2 + 60*y + 100 = 0.
-10, -1, 2
Let -h**5 + 11*h**4 - 7*h**3 - 31*h**2 + 8*h + 20 = 0. What is h?
-1, 1, 2, 10
Let -2*t**3/11 + 8*t**2/11 - 2*t/11 - 12/11 = 0. What is t?
-1, 2, 3
Suppose -3*b**3 + 135*b**2 - 261*b + 129 = 0. What is b?
1, 43
Factor -p**2/4 - 23*p/2 - 45/4.
-(p + 1)*(p + 45)/4
Factor -4*y**2 - 124*y - 232.
-4*(y + 2)*(y + 29)
Find w, given that -3*w**5 - 150*w**4 - 696*w**3 - 954*w**2 - 405*w = 0.
-45, -3, -1, 0
Suppose -4*g**5/7 + 18*g**4/7 - 24*g**3/7 + 8*g**2/7 = 0. What is g?
0, 1/2, 2
Suppose -2*x**2/7 + 108*x = 0. What is x?
0, 378
Factor -m**2/3 - 8*m/3 + 20/3.
-(m - 2)*(m + 10)/3
Factor -5*c**5 - 20*c**4 - 20*c**3.
-5*c**3*(c + 2)**2
Find x, given that 12*x**4 + 43*x**3 + 22*x**2 + 3*x = 0.
-3, -1/3, -1/4, 0
Find v such that v**3 - 40*v**2 - 267*v - 414 = 0.
-3, 46
Factor 2*p**2/5 + 18*p/5 - 44/5.
2*(p - 2)*(p + 11)/5
Let u**3 - 9*u**2 - 21*u + 245 = 0. What is u?
-5, 7
Let -2*f**2 + 1130*f + 1132 = 0. Calculate f.
-1, 566
Determine z so that -6*z**4 - 194*z**3 - 1398*z**2 + 2754*z - 1156 = 0.
-17, 2/3, 1
Determine t so that 906*t**2/7 - 4*t/7 = 0.
0, 2/453
Find n, given that 2*n**4/5 - 46*n**3/5 + 60*n**2 - 704*n/5 + 448/5 = 0.
1, 4, 14
Suppose -4*r**3 + 6188*r**2 - 2390112*r - 2396304 = 0. What is r?
-1, 774
Factor l**3/5 + l**2 - 14*l/5.
l*(l - 2)*(l + 7)/5
Determine x so that 3*x**4 + 3*x**3 - 48*x**2 - 48*x = 0.
-4, -1, 0, 4
Factor 2*p**2/17 + 44*p/17 - 96/17.
2*(p - 2)*(p + 24)/17
Find v, given that -2*v**5/19 - 58*v**4/19 + 126*v**3/19 + 58*v**2/19 - 124*v/19 = 0.
-31, -1, 0, 1, 2
Find u, given that -u**3/8 - 453*u**2/8 - 51075*u/8 + 51529/8 = 0.
-227, 1
Solve -q**4 - 21*q**3 - 37*q**2 + 21*q + 38 = 0.
-19, -2, -1, 1
Find h such that 2*h**2/9 - 68*h/9 + 128/9 = 0.
2, 32
Factor -5*t**3 + 110*t**2 - 235*t - 950.
-5*(t - 19)*(t - 5)*(t + 2)
Find v such that v**3/3 - 91*v**2/3 + 2200*v/3 - 1936 = 0.
3, 44
Factor 5*b**3 - 25*b**2 - 45*b + 225.
5*(b - 5)*(b - 3)*(b + 3)
Suppose -2*n**3/7 + 38*n**2/7 - 198*n/7 + 162/7 = 0. Calculate n.
1, 9
Factor 4*v**5/7 + 40*v**4/7 + 100*v**3/7.
4*v**3*(v + 5)**2/7
Find i such that 5*i**2 - 1575*i = 0.
0, 315
Suppose -6*k**3 + 74*k**2 + 52*k = 0. Calculate k.
-2/3, 0, 13
Factor 2*i**5 - 16*i**4 + 42*i**3 - 44*i**2 + 16*i.
2*i*(i - 4)*(i - 2)*(i - 1)**2
Factor 5*s**3 + 80*s**2 - 975*s - 15750.
5*(s - 14)*(s + 15)**2
Factor j**2/2 - 181*j/2 + 354.
(j - 177)*(j - 4)/2
Find k, given that k**2/2 + 556*k - 1114 = 0.
-1114, 2
Solve -2*m**5/7 - 118*m**4/7 + 244*m**3/7 = 0 for m.
-61, 0, 2
Determine i so that 3*i**5 - 141*i**4 + 138*i**3 = 0.
0, 1, 46
Factor -5*o**4 - 20*o**3 + 35*o**2 + 50*o.
-5*o*(o - 2)*(o + 1)*(o + 5)
What is h in 4*h**3 - 40*h**2 - 128*h + 384 = 0?
-4, 2, 12
Suppose -2*x**5/9 - 86*x**4/3 - 998*x**3/9 + 86*x**2/3 + 1000*x/9 = 0. What is x?
-125, -4, -1, 0, 1
Let -2*i**5/3 - 26*i**4/9 + 4*i**3/3 + 52*i**2/9 - 2*i/3 - 26/9 = 0. What is i?
-13/3, -1, 1
Let -3*f**5 - 6*f**4 + 15*f**3 + 30*f**2 - 12*f - 24 = 0. What is f?
-2, -1, 1, 2
Let 5*u**3 - 25*u**2 - 410*u + 880 = 0. What is u?
-8, 2, 11
Factor 31032*n**2 + 6860*n - 8.
4*(9*n + 2)*(862*n - 1)
Determine j, given that 45*j**5 + 6*j**4 - 720*j**3 - 96*j**2 = 0.
-4, -2/15, 0, 4
Factor -7*x**3 - 72*x**2/5 - 4*x/5.
-x*(x + 2)*(35*x + 2)/5
Determine f, given that -2*f**4 + 74*f**3 - 564*f**2 - 2240*f - 1600 = 0.
-2, -1, 20
Let -4*w**5/13 + 14*w**4/13 + 10*w**3/13 - 8*w**2/13 = 0. What is w?
-1, 0, 1/2, 4
Find g, given that -3*g**3/7 + 15*g**2/7 - 12*g/7 = 0.
0, 1, 4
Factor -2*b**2/9 - 280*b/9 - 9800/9.
-2*(b + 70)**2/9
Factor -3*z**3/4 - 873*z**2/2 + 3501*z/4 - 438.
-3*(z - 1)**2*(z + 584)/4
What is r in 2*r**4/7 - 20*r**3/7 - 6*r**2/7 + 8*r + 40/7 = 0?
-1, 2, 10
Let -24*q**2 - 189*q/2 + 6 = 0. Calculate q.
-4, 1/16
Factor 5*g**3 + 1395*g**2 + 129735*g + 4021785.
5*(g + 93)**3
Factor -11*n**3/2 + 61*n**2/2 + 18*n - 18.
-(n - 6)*(n + 1)*(11*n - 6)/2
What is t in -2*t**3/9 + 74*t**2/9 + 154*t/9 + 26/3 = 0?
-1, 39
Find s such that -s**2/9 + 455*s/9 - 1804/9 = 0.
4, 451
Factor l**4/3 + 8*l**3/3 - 23*l**2/3 - 10*l.
l*(l - 3)*(l + 1)*(l + 10)/3
Factor 25*c**2 + 6*c.
c*(25*c + 6)
Solve 2*u**2/11 + 182*u/11 + 160 = 0 for u.
-80, -11
Solve -5*n**2 + 410*n = 0.
0, 82
What is u in -4*u**2 + 160*u - 576 = 0?
4, 36
Factor -2*r**3/21 - 8678*r**2/21 - 1344160*r/3 + 1345400/3.
-2*(r - 1)*(r + 2170)**2/21
Factor -3*c**2 + 1026*c - 87723.
-3*(c - 171)**2
Find h, given that h**3/3 - 1117*h**2/3 + 105265*h - 718725 = 0.
7, 555
Solve 4*k**5 - 8*k**4 - 8*k**3 + 32*k**2 - 28*k + 8 = 0.
-2, 1
Determine x so that -3*x**5 + 51*x**4 + 6*x**3 - 102*x**2 - 3*x + 51 = 0.
-1, 1, 17
Suppose 5*h**5 - 65*h**4 + 90*h**3 + 800*h**2 + 640*h = 0. Calculate h.
-2, -1, 0, 8
Solve -2*m**2/5 + 652*m/5 - 53138/5 = 0.
163
Factor v**4 + 14*v**3 + 13*v**2 - 252*v + 324.
(v - 2)**2*(v + 9)**2
Factor 4*c**4/5 - 28*c**3/5 - 164*c**2/5 - 132*c/5.
4*c*(c - 11)*(c + 1)*(c + 3)/5
Suppose 5*i**3 + 145*i**2 + 595*i - 7225 = 0. What is i?
-17, 5
Let b**3/2 - 27*b**2/2 - 345*b/2 - 925/2 = 0. Calculate b.
-5, 37
Suppose -4*d**5/13 - 10*d**4/13 + 12*d**3/13 + 40*d**2/13 + 16*d/13 = 0. Calculate d.
-2, -1/2, 0, 2
Factor -3*r**2/4 + 1074*r - 384492.
-3*(r - 716)**2/4
What is l in -2*l**4 + 62*l**3 + 270*l**2 + 346*l + 140 = 0?
-2, -1, 35
Find m such that -m**3/4 - m**2/2 + 17*m - 30 = 0.
-10, 2, 6
Factor -81*h**3/4 - 1827*h**2/4 + 206*h - 23.
-(h + 23)*(9*h - 2)**2/4
Find z such that 2*z**4/3 + 14*z**3/3 - 2*z**2/3 - 14*z/3 = 0.
-7, -1, 0, 1
Suppose -6*k**5/5 + 66*k**4/5 + 54*k**3/5 - 594*k**2/5 = 0. What is k?
-3, 0, 3, 11
Find b, given that 2*b**3/13 + 1044*b**2/13 + 136242*b/13 = 0.
-261, 0
Solve -3*q**3 - 12*q**2 + 153*q - 270 = 0.
-10, 3
Suppose -c**3/7 - 4*c**2/7 - 4*c/7 = 0. What is c?
-2, 0
Factor -2*k**2/3 + 224*k/3.
-2*k*(k - 112)/3
Factor -2*o**2/11 - 270*o/11 + 272/11.
-2*(o - 1)*(o + 136)/11
Find x, given that x**5/6 - 155*x**4/6 + 6083*x**3/6 - 5929*x**2/6 = 0.
0, 1, 77
Find u, given that -u**3/8 + 9*u**2/8 + 25*u/8 - 33/8 = 0.
-3, 1, 11
Factor -2*h**4/3 - 4*h**3/3 + 2*h**2.
-2*h**2*(h - 1)*(h + 3)/3
Let -9*d**4 - 47*d**3 - 73*d**2 - 41*d - 6 = 0. Calculate d.
-3, -1, -2/9
Factor -5*j**4/3 + 70*j**3 - 2585*j**2/3 + 2660*j - 7220/3.
-5*(j - 19)**2*(j - 2)**2/3
Let -10*m**5 - 15*m**4 + 265*m**3 - 135*m**2 - 675*m - 270 = 0. Calculate m.
-6, -1, -1/2, 3
Factor 2*c**3/13 - 16*c**2/13 - 22*c/13 + 36/13.
2*(c - 9)*(c - 1)*(c + 2)/13
Determine t so that t**3/4 + 5*t**2 + 25*t = 0.
-10, 0
Suppose -x**2/3 + 3*x - 8/3 = 0. Calculate x.
1, 8
Find i such that -5*i**4 - 155*i**3 + 865*i**2 - 1245*i + 540 = 0.
-36, 1, 3
Determine l so that 2*l**2/11 - 42*l/11 - 92/11 = 0.
-2, 23
Suppose -h**2 + 6*h - 8 = 0. What is h?
2, 4
Let -2*q**5 - 2*q**4 + 4*q**3 + 4*q**2 - 2*q - 2 = 0. Calculate q.
-1, 1
Factor -4*n**3 + 1004*n**2 - 63500*n + 62500.
-4*(n - 125)**2*(n - 1)
Suppose -6*u**5/5 - 34*u**4/5 + 84*u**3/5 + 396*u**2/5 - 118*u + 30 = 0. What is u?
-5, 1/3, 1, 3
Factor u**2 - 5*u - 14.
(u - 7)*(u + 2)
Factor -x**2/9 - 707*x/9 + 236/3.
-(x - 1)*(x + 708)/9
Find m, given that -5*m**3 + 175*m**2 - 335*m + 165 = 0.
1, 33
Solve 2*y**2 + 92*y + 1058 = 0 for y.
-23
Factor 2*j**2 - 66*j + 124.
2*(j - 31)*(j - 2)
Let -2*l**2/7 - 862*l/7 - 6768/7 = 0. What is l?
-423, -8
Let -v**2/3 - 1393*v/3 + 930 = 0. What is v?
-1395, 2
Factor 2*c**2 + 1244*c + 1242.
2*(c + 1)*(c + 621)
What is y in y**3/2 - 40*y**2 + 453*y/2 - 333 = 0?
3, 74
Factor 6*d**4 + 291*d**3 + 837*d**2 + 825*d + 273.
3*(d + 1)**3*(2*d + 91)
Suppose 11*w**3/4 - 19*w**2/2 + 5*w + 6 = 0. What is w?
-6/11, 2
Suppose -2*l**2/7 + 128*l/7 - 2048/7 = 0. Calculate l.
32
Fact