946*y**4/7 + 9740*y**3/7 + 2784*y**2/7 = 0. Calculate y.
-1, -2/5, 0, 696
Factor 2*f**2 - 80*f + 78.
2*(f - 39)*(f - 1)
Factor 2*o**4/9 + 8*o**3/9 - 22*o**2/9 + 4*o/3.
2*o*(o - 1)**2*(o + 6)/9
Suppose 15*b**5 - 2585*b**4 + 835*b**3 + 4305*b**2 - 850*b - 1720 = 0. Calculate b.
-1, -2/3, 1, 172
Suppose -2*y**3/13 - 58*y**2/13 - 56*y/13 = 0. Calculate y.
-28, -1, 0
Factor -3*x**2 - 312*x - 309.
-3*(x + 1)*(x + 103)
Determine z so that z**2 + 33*z = 0.
-33, 0
Determine l, given that -321*l**4/7 - 624*l**3/7 + 51*l**2 + 624*l/7 - 36/7 = 0.
-2, -1, 6/107, 1
Determine c, given that -c**3/5 + 93*c**2/5 - 434*c/5 - 528/5 = 0.
-1, 6, 88
Find j such that -35*j**3/3 - 430*j**2/3 - 505*j/3 - 110/3 = 0.
-11, -1, -2/7
Suppose 2*j**2/9 + 6748*j/9 + 6746/9 = 0. What is j?
-3373, -1
Solve 44*p**3/5 - 104*p**2 - 668*p/5 - 104/5 = 0.
-1, -2/11, 13
Factor -2*d**3/7 + 12*d**2/7 - 16*d/7.
-2*d*(d - 4)*(d - 2)/7
Factor x**3/2 - 5*x**2.
x**2*(x - 10)/2
Factor -5*a**3/3 - 250*a**2/3 - 3500*a/3 - 5000.
-5*(a + 10)**2*(a + 30)/3
Factor -2*u**2 - 56*u - 390.
-2*(u + 13)*(u + 15)
Factor 2*n**2 - 36*n + 64.
2*(n - 16)*(n - 2)
Factor -3*j**2 + 6*j.
-3*j*(j - 2)
Determine s so that -2*s**3/5 - 52*s**2/5 - 448*s/5 - 256 = 0.
-10, -8
Factor v**4/3 + v**3 - v**2 - 7*v/3 + 2.
(v - 1)**2*(v + 2)*(v + 3)/3
Let 4*n**3 + 1808*n**2 + 3604*n + 1800 = 0. What is n?
-450, -1
Solve -2*y**4/3 - 10*y**3/9 + 22*y**2/9 - 2*y/3 = 0 for y.
-3, 0, 1/3, 1
Determine i, given that i**3/3 - 31*i**2/3 - i/3 + 31/3 = 0.
-1, 1, 31
Factor 5*r**5 - 480*r**4 - 975*r**3 - 490*r**2.
5*r**2*(r - 98)*(r + 1)**2
Solve a**2 + 128*a + 4096 = 0.
-64
Determine z so that -z**2 - 35*z = 0.
-35, 0
Find z such that 2*z**3 + 78*z**2 + 720*z - 800 = 0.
-20, 1
Factor -36*h**3/5 - 12*h**2 + 23*h/5 - 2/5.
-(h + 2)*(6*h - 1)**2/5
Factor -n**4/8 + n**3/2 - n**2/2.
-n**2*(n - 2)**2/8
Solve q**2/3 + 113*q/3 + 110 = 0.
-110, -3
Factor -4*t**2 + 2280*t - 2276.
-4*(t - 569)*(t - 1)
Factor 2*s**3 + 18*s**2 - 24*s - 40.
2*(s - 2)*(s + 1)*(s + 10)
Let 4*t**5 - 40*t**4 - 248*t**3 + 320*t**2 + 244*t - 280 = 0. Calculate t.
-5, -1, 1, 14
Factor 5*k**3 + 180*k**2 + 1785*k + 2890.
5*(k + 2)*(k + 17)**2
Solve -3*f**5/7 - 201*f**4/7 - 1233*f**3/7 + 71361*f**2/7 - 53136*f + 74844 = 0 for f.
-42, 3, 11
Factor u**2 + 2*u.
u*(u + 2)
Find s such that s**5/7 + 9*s**4 + 1021*s**3/7 + 837*s**2/7 - 1922*s/7 = 0.
-31, -2, 0, 1
Factor 4*w**3 + 36*w**2 + 80*w + 48.
4*(w + 1)*(w + 2)*(w + 6)
Determine w, given that -2*w**3/7 - 2*w**2 + 36*w - 576/7 = 0.
-16, 3, 6
Solve 4*b**5/7 + 52*b**4/7 + 156*b**3/7 + 92*b**2/7 - 160*b/7 - 144/7 = 0.
-9, -2, -1, 1
Factor -5*y**2 + 245.
-5*(y - 7)*(y + 7)
Suppose 20*a**5 - 365*a**4 + 1290*a**3 - 1420*a**2 + 280*a = 0. Calculate a.
0, 1/4, 2, 14
Determine v, given that -4*v**4/3 + 412*v**3/3 - 1540*v**2/3 - 1444*v - 792 = 0.
-1, 6, 99
Find w such that 4*w**5 + 12*w**4 - 4*w**3 - 44*w**2 - 48*w - 16 = 0.
-2, -1, 2
Determine z, given that 2*z**5 + 2*z**4 - 12*z**3 - 8*z**2 + 16*z = 0.
-2, 0, 1, 2
Find z, given that z**2/2 + 13*z + 69/2 = 0.
-23, -3
Factor 3*v**4/8 + 27*v**3/8 + 9*v**2 + 6*v.
3*v*(v + 1)*(v + 4)**2/8
Factor -3*m**3/7 + 144*m**2/7 - 960*m/7.
-3*m*(m - 40)*(m - 8)/7
Solve -5*y**3 + 20*y**2 = 0 for y.
0, 4
Solve 5*x**3 - 45*x**2 + 540 = 0 for x.
-3, 6
Factor -a**2/2 - 77*a/2 - 111.
-(a + 3)*(a + 74)/2
Let 5*q**3 + 95*q**2 - 800*q - 16640 = 0. Calculate q.
-16, 13
Factor 196*i**3 + 2436*i**2 - 1440*i + 208.
4*(i + 13)*(7*i - 2)**2
Factor -2*n**4/7 - 24*n**3/7 - 88*n**2/7 - 96*n/7.
-2*n*(n + 2)*(n + 4)*(n + 6)/7
What is g in -3*g**4 + 18*g**3 - 27*g**2 + 12*g = 0?
0, 1, 4
Suppose -2*i**4/3 - 196*i**3/9 - 962*i**2/9 - 1204*i/9 - 48 = 0. What is i?
-27, -4, -1, -2/3
Determine g, given that 35*g**3 - 3050*g**2 + 9320*g - 6720 = 0.
8/7, 2, 84
Let 2*j**2 + 1118*j/3 + 124 = 0. What is j?
-186, -1/3
Factor 2*s**5/5 + 24*s**4/5 + 82*s**3/5 + 76*s**2/5 - 72*s/5 - 112/5.
2*(s - 1)*(s + 2)**3*(s + 7)/5
Suppose 5*i**5 - 180*i**4 + 155*i**3 + 720*i**2 - 700*i = 0. Calculate i.
-2, 0, 1, 2, 35
Factor 2*f**4/3 + 40*f**3.
2*f**3*(f + 60)/3
Factor -5*j**2 - 2615*j + 7890.
-5*(j - 3)*(j + 526)
Factor 5*b**3 + 4955*b**2 + 9895*b + 4945.
5*(b + 1)**2*(b + 989)
Let -2*i**5/15 - 2*i**4/15 + 26*i**3/15 + 2*i**2/15 - 8*i/5 = 0. What is i?
-4, -1, 0, 1, 3
Determine q, given that -q**3/3 + 4*q/3 = 0.
-2, 0, 2
Factor 3*h**2/2 - 111*h + 4107/2.
3*(h - 37)**2/2
Factor k**3 - 2535*k**2 + 2142075*k - 603351125.
(k - 845)**3
Solve -o**5/4 - 3*o**4 + 15*o**3/4 + 13*o**2/2 = 0.
-13, -1, 0, 2
Factor h**2 - 3*h + 2.
(h - 2)*(h - 1)
Factor s**2/8 - 9*s + 35/2.
(s - 70)*(s - 2)/8
Let 2*h**4/7 - 4*h**3/7 - 8*h**2/7 + 16*h/7 = 0. Calculate h.
-2, 0, 2
Solve 8*r**3 - 86*r**2 - 22*r = 0.
-1/4, 0, 11
Suppose -5*s**4/2 + 15*s**3 - 15*s**2/2 - 25*s = 0. What is s?
-1, 0, 2, 5
Suppose 3*i**3/5 + 9*i**2/5 - 27*i/5 + 3 = 0. Calculate i.
-5, 1
Factor -x**3/4 + 899*x**2/4 - 50400*x - 50625.
-(x - 450)**2*(x + 1)/4
Factor 5*o**4 + 1155*o**3 - 5*o**2 - 1155*o.
5*o*(o - 1)*(o + 1)*(o + 231)
Factor -2*f**2 + 288*f - 10368.
-2*(f - 72)**2
Factor 11*f**5 + 68*f**4 + 144*f**3 + 112*f**2 + 16*f.
f*(f + 2)**3*(11*f + 2)
What is g in g**4/4 - 211*g**3/2 + 11235*g**2 - 22050*g = 0?
0, 2, 210
Let -20*h**3 - 32*h**2 + 84*h = 0. What is h?
-3, 0, 7/5
Suppose -w**3/4 - 21*w**2/2 - 425*w/4 = 0. Calculate w.
-25, -17, 0
Factor -x**4 - 69*x**3 - 1149*x**2 + 1645*x + 7350.
-(x - 3)*(x + 2)*(x + 35)**2
Factor -t**2 - 6238*t - 9728161.
-(t + 3119)**2
Let 65*l**5 + 334*l**4 + 261*l**3 - 172*l**2 - 116*l + 48 = 0. Calculate l.
-4, -1, 2/5, 6/13
Factor -5*j**4 - 20*j**3 - 30*j**2 - 20*j - 5.
-5*(j + 1)**4
Factor 3*g**4 - 87*g**3 + 729*g**2 - 1209*g - 2028.
3*(g - 13)**2*(g - 4)*(g + 1)
Let -c**4 + 74*c**3 - 1872*c**2 + 17280*c - 27648 = 0. What is c?
2, 24
Factor -2*m**4 - 100*m**3 - 1632*m**2 - 8092*m + 9826.
-2*(m - 1)*(m + 17)**3
Factor 4*w**2 - 184*w + 180.
4*(w - 45)*(w - 1)
Find n such that n**2 - 106*n + 2809 = 0.
53
Factor 4*u**2 - 4496*u + 1263376.
4*(u - 562)**2
Factor -2*y**3 + 3266*y**2 - 1334976*y + 1331712.
-2*(y - 816)**2*(y - 1)
Factor -k**2/5 - 2328*k/5 - 1354896/5.
-(k + 1164)**2/5
Solve -4*i**4/9 - 244*i**3/9 + 28*i**2 + 244*i/9 - 248/9 = 0 for i.
-62, -1, 1
Suppose 15*o**5 + 125*o**4 + 40*o**3 = 0. What is o?
-8, -1/3, 0
Determine r so that -4*r**4 - 32*r**3 + 36*r**2 + 288*r = 0.
-8, -3, 0, 3
Factor -q**4/3 + 58*q**3/3 - 380*q**2 + 7942*q/3 - 6859/3.
-(q - 19)**3*(q - 1)/3
Determine l, given that 8*l**5 + 1268*l**4 + 50552*l**3 + 23696*l**2 - 50560*l - 24964 = 0.
-79, -1, -1/2, 1
Factor j**3 - 25*j**2 + 112*j + 588.
(j - 14)**2*(j + 3)
Factor -2*j**5/7 - 10*j**4/7 - 20*j**3/7 - 20*j**2/7 - 10*j/7 - 2/7.
-2*(j + 1)**5/7
Solve -6*b**4/13 - 274*b**3/13 - 3082*b**2/13 + 1058*b/13 = 0.
-23, 0, 1/3
Find u such that 2*u**4/13 + 54*u**3/13 - 58*u**2/13 - 54*u/13 + 56/13 = 0.
-28, -1, 1
Factor 2*n**5/7 + 2*n**4/7 - 4*n**3/7 - 4*n**2/7 + 2*n/7 + 2/7.
2*(n - 1)**2*(n + 1)**3/7
Factor -2*m**2 - 154*m - 1452.
-2*(m + 11)*(m + 66)
Let -y**2 + 35*y = 0. Calculate y.
0, 35
Factor 338*z**2 - 1976*z + 2888.
2*(13*z - 38)**2
Let 6*a**5/11 - 6592*a**4/11 + 10968*a**3/11 + 2204*a**2/11 - 10974*a/11 + 4388/11 = 0. What is a?
-1, 2/3, 1, 1097
Factor -n**2/2 + 95*n/2 - 47.
-(n - 94)*(n - 1)/2
Factor 3*a**4/2 - 2*a**3 - 17*a**2/2 + 3*a.
a*(a - 3)*(a + 2)*(3*a - 1)/2
Factor 3*s**4 + 15*s**3 + 18*s**2 - 12*s - 24.
3*(s - 1)*(s + 2)**3
Suppose -4*r**3/7 - 148*r**2/7 + 312*r/7 = 0. What is r?
-39, 0, 2
Suppose -2*a**3 + 2*a**2 + 32*a + 40 = 0. Calculate a.
-2, 5
Let 4*y**2 + 1716*y + 6800 = 0. What is y?
-425, -4
Factor 4*n**4 - 72*n**3 + 320*n**2 + 72*n - 324.
4*(n - 9)**2*(n - 1)*(n + 1)
Determine n so that 4*n**4 - 112*n**3 + 296*n**2 + 112*n - 300 = 0.
-1, 1, 3, 25
Factor 10*l**4 - 134*l**3 + 532*l**2 - 552*l + 144.
2*(l - 6)**2*(l - 1)*(5*l - 2)
What is m in -30*m**4 - 155*m**3 - 25*m**2 = 0?
-5, -1/6, 0
Factor 5*h**4 + 165*h**3 - 170*h**2.
5*h**2*(h - 1)*(h + 34)
What is r in 2*r**4 + 21*r**3 - 157*r**2 + 294*r - 160 = 0?
-16, 1, 2, 5/2
Factor 11*i**2/6 - i/3.
i*(11*i - 2)/6
Factor 4*n**3 + 40*n**2 - 324*n - 360.
4*(n - 6)*(n + 1)*(n + 15)
What is w in 2*w**3/9 + 94*w**2/9 + 92*w/9 = 0?
-46, -1, 0
Factor l**3/12 - l**2/6 - l/4.
l*(l - 3)*(l + 1)/12
Factor -3*f**5 - 51*f**4 - 39*