o that -n**3/8 - n**2 - 15*n/8 = 0.
-5, -3, 0
Factor 18*n**4 + 732*n**3 + 6674*n**2 - 15616*n + 8192.
2*(n - 1)**2*(3*n + 64)**2
Factor 3*h**2 - 1308*h + 142572.
3*(h - 218)**2
Factor 2*n**2/7 + 6*n + 76/7.
2*(n + 2)*(n + 19)/7
Let t**4/3 + 4*t**3/3 + 4*t**2/3 = 0. What is t?
-2, 0
Find d such that -35*d**5 - 1200*d**4 - 14200*d**3 - 63250*d**2 - 63525*d - 13310 = 0.
-11, -1, -2/7
Determine o, given that 5*o**2 + 1220*o + 74420 = 0.
-122
Factor 3*m**2 - 8259*m - 16530.
3*(m - 2755)*(m + 2)
Factor -4*j**5/7 - 512*j**4/7 - 2964*j**3/7 - 4392*j**2/7.
-4*j**2*(j + 3)**2*(j + 122)/7
Find q, given that 3*q**5/4 + 1257*q**4/4 - 3*q**3/4 - 1257*q**2/4 = 0.
-419, -1, 0, 1
Solve -4*y**3 + 88*y**2 - 236*y + 152 = 0 for y.
1, 2, 19
Solve 3*v**4/8 - 273*v**3/8 + 7971*v**2/8 - 76479*v/8 + 61605/4 = 0.
2, 15, 37
Let -6*w**4/23 + 16*w**3/23 + 88*w**2/23 - 256*w/23 + 128/23 = 0. Calculate w.
-4, 2/3, 2, 4
Suppose -r**5 - 5*r**4 + 16*r**3 + 68*r**2 + 48*r = 0. What is r?
-6, -2, -1, 0, 4
Factor -2*f**2/11 - 2*f/11.
-2*f*(f + 1)/11
Factor -2*r**5 + 16*r**4 - 6*r**3 - 184*r**2 + 224*r + 384.
-2*(r - 4)**3*(r + 1)*(r + 3)
Factor 3*g**3/2 - 27*g**2/2 + 45*g/2 - 21/2.
3*(g - 7)*(g - 1)**2/2
Factor -2*l**4/3 - 26*l**3/3 - 30*l**2 + 50*l/3 + 500/3.
-2*(l - 2)*(l + 5)**3/3
Factor 2*w**5/11 - 6*w**3/11 - 4*w**2/11.
2*w**2*(w - 2)*(w + 1)**2/11
Find m, given that -29*m**2/3 + 91*m/3 - 4 = 0.
4/29, 3
Let 100*p**5 + 420*p**4 + 216*p**3 - 400*p**2 + 96*p = 0. What is p?
-3, -2, 0, 2/5
Factor -2*r**4/7 - 82*r**3/7.
-2*r**3*(r + 41)/7
Find g such that -g**3/2 - 8*g**2 + 224*g - 1024 = 0.
-32, 8
Suppose -5*l**2/3 - 340*l/3 + 700/3 = 0. What is l?
-70, 2
Factor -18*u**3 + 363*u**2 + 318*u - 63.
-3*(u - 21)*(u + 1)*(6*u - 1)
Let -3*f**2 + 3*f = 0. What is f?
0, 1
Let -15*m**5/4 - 47*m**4/2 + 10*m**3 + 100*m**2 + 20*m - 24 = 0. Calculate m.
-6, -2, -2/3, 2/5, 2
Find w, given that 2*w**5 + 8*w**4 - 74*w**3 + 136*w**2 - 72*w = 0.
-9, 0, 1, 2
Let 2*o**5/3 + 44*o**4 + 584*o**3 - 13840*o**2/3 + 9984*o - 6912 = 0. Calculate o.
-36, 2
Let 5*a**3 + 45*a**2 + 100*a + 60 = 0. What is a?
-6, -2, -1
Let 20*k**4 + 76*k**3 + 88*k**2 + 32*k = 0. Calculate k.
-2, -1, -4/5, 0
Suppose -15*c**5 - 303*c**4 - 2295*c**3 - 7797*c**2 - 10470*c - 1800 = 0. What is c?
-6, -5, -4, -1/5
Let -4*o**2 - 60*o + 136 = 0. What is o?
-17, 2
Factor 5*b**2 - 75*b + 130.
5*(b - 13)*(b - 2)
Let 36*r**3 + 368*r**2 + 980*r + 200 = 0. What is r?
-5, -2/9
Determine x so that 4*x**4 + 48*x**3 - 72*x**2 - 272*x - 156 = 0.
-13, -1, 3
Determine y, given that 3*y**5 + 13*y**4 + 8*y**3 - 24*y**2 - 16*y + 16 = 0.
-2, 2/3, 1
Find b, given that 40*b**2/3 + 134*b/3 + 14 = 0.
-3, -7/20
Factor 10*z**5 - 18*z**4 + 48*z**3/5 - 8*z**2/5.
2*z**2*(z - 1)*(5*z - 2)**2/5
Suppose -3*m**2/2 + 7851*m - 20546067/2 = 0. Calculate m.
2617
What is a in -a**4/8 + 11*a**3/8 - 15*a**2/4 = 0?
0, 5, 6
Factor -4*v**4 + 52*v**3 + 72*v**2 - 1440*v.
-4*v*(v - 12)*(v - 6)*(v + 5)
Determine y so that 4*y**4 - 60*y**3 - 64*y**2 = 0.
-1, 0, 16
Find c, given that -2*c**3 - 314*c**2 - 12782*c - 35574 = 0.
-77, -3
Factor n**2/3 + 79*n/3 - 80/3.
(n - 1)*(n + 80)/3
Factor -h**3 + 41*h**2 - 174*h - 216.
-(h - 36)*(h - 6)*(h + 1)
Find r such that -3*r**4 + 30*r**3 - 63*r**2 - 12*r + 84 = 0.
-1, 2, 7
Factor 40*x**3 - 660*x**2 + 3630*x - 6655.
5*(2*x - 11)**3
Factor 2*s**2/9 + 20*s/3 - 518/9.
2*(s - 7)*(s + 37)/9
Factor 18*j**4 - 123*j**3 - 561*j**2 - 90*j.
3*j*(j - 10)*(j + 3)*(6*j + 1)
Factor u**5 - 3*u**4 - 13*u**3 + 51*u**2 - 36*u.
u*(u - 3)**2*(u - 1)*(u + 4)
Determine o, given that 27*o**4 + 153*o**3 + 93*o**2 + 15*o = 0.
-5, -1/3, 0
Factor 2*i**2/5 - 188*i/15 - 128/15.
2*(i - 32)*(3*i + 2)/15
Factor y**2/11 + y/11 - 20/11.
(y - 4)*(y + 5)/11
Solve -2*m**3 - 42*m**2 - 78*m - 38 = 0 for m.
-19, -1
Let -2*j**2/21 - 68*j/21 - 128/21 = 0. Calculate j.
-32, -2
Find h such that h**2/5 + 32*h = 0.
-160, 0
Let -2*x**5/9 + 50*x**4/9 - 86*x**3/9 - 146*x**2/9 + 176*x/9 + 184/9 = 0. What is x?
-1, 2, 23
Solve -27*w**3 + 456*w**2 + 537*w + 54 = 0.
-1, -1/9, 18
Let 3*m**2 + 27*m - 210 = 0. Calculate m.
-14, 5
Factor 3*c**3/7 - 156*c**2 - 3*c/7 + 156.
3*(c - 364)*(c - 1)*(c + 1)/7
Factor i**2 - 188*i.
i*(i - 188)
Factor t**2/2 + 37*t/2 - 39.
(t - 2)*(t + 39)/2
What is l in -4*l**2 - 952*l + 1920 = 0?
-240, 2
Let -j**3/4 - 21*j**2/4 - 35*j/4 + 57/4 = 0. Calculate j.
-19, -3, 1
Factor -3*c**2/5 - 33*c/5 - 6.
-3*(c + 1)*(c + 10)/5
Determine h, given that 4*h**5/7 - 4*h**4/7 - 4*h**3 + 4*h**2/7 + 24*h/7 = 0.
-2, -1, 0, 1, 3
Factor 2*i**3/3 + 2*i**2/3 - 52*i/3 + 16.
2*(i - 4)*(i - 1)*(i + 6)/3
Solve 5*x**2 + 55*x + 90 = 0 for x.
-9, -2
Factor 35*a**4 - 25*a**3 - 45*a**2 + 25*a + 10.
5*(a - 1)**2*(a + 1)*(7*a + 2)
Let -f**2 - 560*f/3 + 187/3 = 0. What is f?
-187, 1/3
Factor l**4/6 - 1019*l**3/6 + 115599*l**2/2 - 13215915*l/2 + 12986073.
(l - 339)**3*(l - 2)/6
Factor -g**2 - 104*g - 1408.
-(g + 16)*(g + 88)
Factor -2*w**2/7 + 316*w/7 - 12482/7.
-2*(w - 79)**2/7
Find t such that 112*t**4 + 4*t**3 - 120*t**2 - 4*t + 8 = 0.
-1, -2/7, 1/4, 1
Solve -31941*o**4 + 7800*o**3 + 1896*o**2 - 672*o + 48 = 0 for o.
-2/7, 2/13, 2/9
Determine o, given that 2*o**2 - 160*o + 3200 = 0.
40
Suppose -2*s**3 - 92*s**2 - 342*s - 252 = 0. What is s?
-42, -3, -1
Solve 2*w**5 + 4*w**4 - 4*w**2 - 2*w = 0.
-1, 0, 1
Factor -5*t**4 - 30*t**3 - 15*t**2 + 50*t.
-5*t*(t - 1)*(t + 2)*(t + 5)
Find u such that -4*u**2 + 32*u - 28 = 0.
1, 7
What is u in u**3/2 + 6*u**2 - 45*u/2 = 0?
-15, 0, 3
Factor 4*b**2 - 108*b - 112.
4*(b - 28)*(b + 1)
Determine r, given that -2*r**5 - 104*r**4 + 442*r**3 - 344*r**2 - 440*r + 448 = 0.
-56, -1, 1, 2
Find s, given that -25*s**5 - 55*s**4 + 15*s**3 + 55*s**2 + 10*s = 0.
-2, -1, -1/5, 0, 1
Factor 5*l**5 + 20*l**4 + 30*l**3 + 20*l**2 + 5*l.
5*l*(l + 1)**4
Suppose f**5 + 10*f**4 - 7*f**3 - 64*f**2 + 60*f = 0. Calculate f.
-10, -3, 0, 1, 2
Determine w so that -w**4/3 + 2*w**3/3 + 3*w**2 - 2*w/3 - 8/3 = 0.
-2, -1, 1, 4
Factor j**4 - 5*j**3/4 - 11*j**2/2 - 13*j/4.
j*(j + 1)**2*(4*j - 13)/4
Factor 5*t**2 + 615*t + 1210.
5*(t + 2)*(t + 121)
Let 5*t**5/7 + t**4/7 - 15*t**3/7 - 13*t**2/7 - 2*t/7 = 0. Calculate t.
-1, -1/5, 0, 2
Factor 5*h**4 + 145*h**3 + 140*h**2.
5*h**2*(h + 1)*(h + 28)
Suppose -2*d**4 - 10*d**3 + 50*d**2 + 250*d = 0. Calculate d.
-5, 0, 5
Factor 3*o**4 - 18*o**3 + 24*o**2.
3*o**2*(o - 4)*(o - 2)
Let 5*i**5 + 185*i**4 + 845*i**3 + 1475*i**2 + 1130*i + 320 = 0. What is i?
-32, -2, -1
Factor -20*i**5 + 39*i**4 - 18*i**3 - i**2.
-i**2*(i - 1)**2*(20*i + 1)
Factor 8544978*d**2/5 - 16536*d/5 + 8/5.
2*(2067*d - 2)**2/5
Factor r**2/3 - 4*r/3.
r*(r - 4)/3
Let l**2/12 - 170*l/3 - 227/4 = 0. What is l?
-1, 681
Let -2*z**4 - 18*z**3 + 8*z**2 + 72*z = 0. Calculate z.
-9, -2, 0, 2
Solve -s**2 + 18*s - 17 = 0.
1, 17
Determine r, given that -r**3/4 + 19*r**2 + 79*r + 80 = 0.
-2, 80
Let 2*o**2 + 108*o + 1458 = 0. Calculate o.
-27
Suppose -16*d**4 + 8*d**3 + 7*d**2 + d = 0. Calculate d.
-1/4, 0, 1
Suppose 4*j**5/3 + j**4/3 - 344*j**3/3 + 1354*j**2/3 - 740*j/3 - 275/3 = 0. What is j?
-11, -1/4, 1, 5
Find n, given that -n**3/3 + 8*n**2 + 27*n = 0.
-3, 0, 27
Suppose 3*c**5/4 - 9*c**4/4 - 3*c**3/4 + 21*c**2/4 - 3 = 0. Calculate c.
-1, 1, 2
Solve -b**2/2 + 2*b + 6 = 0.
-2, 6
Solve 2*q**4/9 + 586*q**3/9 - 592*q**2/9 - 392*q/3 = 0 for q.
-294, -1, 0, 2
Determine d so that -18*d**5 + 894*d**4 + 1216*d**3 + 408*d**2 = 0.
-2/3, 0, 51
Factor 5*g**3 + 30*g**2 + 25*g.
5*g*(g + 1)*(g + 5)
Factor -2*d**2/7 + 6*d - 180/7.
-2*(d - 15)*(d - 6)/7
Solve -h**4/8 + 17*h**3/8 - 45*h**2/4 + 27*h/2 + 27 = 0 for h.
-1, 6
Factor j**4/4 - 15*j**3/4 + 29*j**2/4 + 207*j/4 + 81/2.
(j - 9)**2*(j + 1)*(j + 2)/4
Let -63368*n**5/7 + 89356*n**4/7 + 8416*n**3/7 - 31492*n**2/7 - 2848*n/7 - 64/7 = 0. Calculate n.
-1/2, -4/89, 1
Factor 5*n**2 + 220*n - 705.
5*(n - 3)*(n + 47)
Find a such that 5*a**5 + 80*a**4 + 255*a**3 + 160*a**2 - 260*a - 240 = 0.
-12, -2, -1, 1
Factor 2*t**2/3 - 10*t + 24.
2*(t - 12)*(t - 3)/3
Factor 3*i**2 + 12312*i + 12632112.
3*(i + 2052)**2
Find t such that 3*t**4/7 - 66*t**3/7 + 423*t**2/7 - 660*t/7 + 300/7 = 0.
1, 10
Find x such that 2*x**4/15 - 86*x**3/15 - 188*x**2/5 - 232*x/3 - 784/15 = 0.
-2, 49
Determine u, given that -5*u**2 - 760*u - 28880 = 0.
-76
Factor 2*l**2/7 - 36*l + 1134.
2*(l - 63)**2/7
Le