, 7
Factor -2*f**4/11 + 16*f**2/11 - 32/11.
-2*(f - 2)**2*(f + 2)**2/11
Factor -4*r**4 - 16*r**3 + 28*r**2 + 40*r.
-4*r*(r - 2)*(r + 1)*(r + 5)
Factor 2*p**2/15 - 32*p/15 + 8.
2*(p - 10)*(p - 6)/15
What is a in -2*a**3/5 + 6*a**2/5 - 8/5 = 0?
-1, 2
Factor 4*f**2 - 64*f + 112.
4*(f - 14)*(f - 2)
Determine g so that 4*g**4 + 160*g**3 + 1596*g**2 - 160*g - 1600 = 0.
-20, -1, 1
Determine q so that q**5 + 12*q**4 + 11*q**3 = 0.
-11, -1, 0
Factor -266*x**2/3 + 178*x - 4/3.
-2*(x - 2)*(133*x - 1)/3
Factor -f**2/3 + 3*f - 20/3.
-(f - 5)*(f - 4)/3
Let -u**3/2 + 27*u**2/4 - 19*u - 45/4 = 0. What is u?
-1/2, 5, 9
Find h, given that -4*h**3/3 + 88*h**2 - 172*h + 256/3 = 0.
1, 64
Suppose 3*n**3 - 2511*n**2 + 700569*n - 65152917 = 0. What is n?
279
Solve -6*p**2 + 231*p/2 - 57/2 = 0.
1/4, 19
Factor -5*w**2 - 17800*w - 15842000.
-5*(w + 1780)**2
Suppose -2*y**5 - 52*y**4 - 498*y**3 - 2080*y**2 - 3200*y = 0. Calculate y.
-8, -5, 0
Solve -98*w**5/9 + 8*w**4/9 = 0.
0, 4/49
What is x in -2*x**2/11 + 664*x/11 = 0?
0, 332
Factor -2*l**5 + 2*l**4 + 2*l**3 - 2*l**2.
-2*l**2*(l - 1)**2*(l + 1)
Factor 4*n**3 - 68*n**2 + 44*n + 2420.
4*(n - 11)**2*(n + 5)
Factor 2*n**2 + 2354*n - 2356.
2*(n - 1)*(n + 1178)
Let -3*q**4 - 63*q**3 + 21*q**2 + 423*q - 378 = 0. Calculate q.
-21, -3, 1, 2
Factor 2*o**2 - 32*o.
2*o*(o - 16)
What is q in q**4/12 - q**3 = 0?
0, 12
Solve -2*a**2/7 + 30*a/7 - 52/7 = 0 for a.
2, 13
Let 5*d**3 - 235*d**2 - 485*d - 245 = 0. What is d?
-1, 49
Factor 8*c**2 - 2158*c/15 - 12/5.
2*(c - 18)*(60*c + 1)/15
Find a such that 2*a**5 + 12*a**4 + 20*a**3 - 22*a - 12 = 0.
-3, -2, -1, 1
Find p, given that 3*p**2 - 90*p + 312 = 0.
4, 26
What is g in -2*g**4/5 + 6*g**3/5 + 126*g**2/5 - 142*g + 180 = 0?
-9, 2, 5
Factor 5*w**3 + 140*w**2 + 265*w + 130.
5*(w + 1)**2*(w + 26)
Factor c**4 - 15*c**3 + 57*c**2 + 35*c - 294.
(c - 7)**2*(c - 3)*(c + 2)
Find d such that 3*d**2 - 174*d + 2523 = 0.
29
Find t, given that -118210688*t**4 + 11439744*t**3 - 415152*t**2 + 6696*t - 81/2 = 0.
3/124
Factor -v**5 - 15*v**4 - 30*v**3 + 190*v**2 - 225*v + 81.
-(v - 1)**3*(v + 9)**2
Suppose b**5/2 - 47*b**4 + 2877*b**3/2 - 13168*b**2 - 37376*b + 49152 = 0. Calculate b.
-3, 1, 32
Factor v**2/4 + 71*v/2 + 70.
(v + 2)*(v + 140)/4
Factor l**5/2 + 18*l**4 - 98*l**3 + 181*l**2 - 285*l/2 + 41.
(l - 2)*(l - 1)**3*(l + 41)/2
Solve 2*o**2/25 = 0 for o.
0
Solve 2*s**3 + 176*s**2 + 3872*s = 0 for s.
-44, 0
What is z in -128*z**2 + 352*z - 242 = 0?
11/8
Suppose 22*g**2/7 - 5452*g/7 - 992/7 = 0. Calculate g.
-2/11, 248
Solve 4*w**3/5 + 76*w**2 + 4128*w/5 + 11952/5 = 0.
-83, -6
Factor -c**4/8 - c**3/2 + 3*c**2/8 + 9*c/4.
-c*(c - 2)*(c + 3)**2/8
Solve i**3 - 242*i**2 + 13356*i + 158760 = 0.
-10, 126
Factor 3*z**2 + 138*z.
3*z*(z + 46)
Suppose -t**3 + 2*t**2 + 63*t = 0. Calculate t.
-7, 0, 9
Let -2*s**4/5 + 56*s**2/5 + 96*s/5 = 0. What is s?
-4, -2, 0, 6
Suppose -2*r**3/9 - 136*r**2/9 + 64*r = 0. Calculate r.
-72, 0, 4
Determine p, given that -2*p**4/15 + 2*p**2/15 = 0.
-1, 0, 1
Suppose -2*k**3/11 + 2*k**2/11 + 266*k/11 - 1274/11 = 0. Calculate k.
-13, 7
What is u in 3*u**2 - 372*u = 0?
0, 124
Determine t so that -123627*t**2 - 3654*t - 27 = 0.
-3/203
Suppose 7*n**5/2 + n**4 - 581*n**3/8 + 401*n**2/8 + 11*n/4 - 5 = 0. Calculate n.
-5, -2/7, 1/2, 4
Factor -m**5/2 - m**4/2 + 3*m**3.
-m**3*(m - 2)*(m + 3)/2
Factor -y**3 + 18*y**2 + 667*y - 684.
-(y - 36)*(y - 1)*(y + 19)
Let -2*h**4/3 + 8*h**3/3 + 18*h**2 - 36*h - 144 = 0. Calculate h.
-3, 4, 6
Factor -4*x**2/5 + 528*x/5 - 208.
-4*(x - 130)*(x - 2)/5
Factor -3*f**2 + 840*f + 843.
-3*(f - 281)*(f + 1)
Factor s**2 + 7*s/6 + 1/6.
(s + 1)*(6*s + 1)/6
Factor -z**3/2 - 107*z**2/2 - 2915*z/2 - 2809/2.
-(z + 1)*(z + 53)**2/2
Let 50*b**3 - 640*b**2 + 2048*b = 0. What is b?
0, 32/5
Factor 5*z**2 + 10*z - 40.
5*(z - 2)*(z + 4)
Let -5*w**3 - 11*w**2 + 69*w + 171 = 0. What is w?
-3, 19/5
Factor -5*n**4 + 220*n**3 + 4780*n**2 - 158400*n - 2592000.
-5*(n - 40)**2*(n + 18)**2
Determine c, given that -5*c**3 - 60*c**2 - 180*c - 160 = 0.
-8, -2
Find k such that 3*k**4/7 + 2826*k**3/7 + 671151*k**2/7 + 378684*k + 377076 = 0.
-469, -2
Suppose -s**2 - 559*s - 558 = 0. Calculate s.
-558, -1
Determine l, given that -2*l**2/7 - 60*l/7 - 58/7 = 0.
-29, -1
Determine w, given that w**3/4 + 213*w**2/4 + 1251*w/4 + 1863/4 = 0.
-207, -3
Determine x so that 5*x**2 + 790*x + 6000 = 0.
-150, -8
Factor -2*n**3/11 - 4*n**2 - 22*n.
-2*n*(n + 11)**2/11
Factor -2*q**3/5 - 1438*q**2/5.
-2*q**2*(q + 719)/5
Factor -10*r**3 + 174*r**2 - 68*r.
-2*r*(r - 17)*(5*r - 2)
Find q, given that 4*q**4 + 320*q**3 + 1196*q**2 - 1520*q = 0.
-76, -5, 0, 1
Let -12*l**5 + 3*l**4 + 12*l**3 - 3*l**2 = 0. Calculate l.
-1, 0, 1/4, 1
Determine j, given that -4*j**4 - 64*j**3 - 372*j**2 - 920*j - 800 = 0.
-5, -4, -2
Factor -1180*x**3/7 + 344*x**2 - 1276*x/7 + 48/7.
-4*(x - 1)**2*(295*x - 12)/7
Suppose -3*j**2/4 - 903*j = 0. Calculate j.
-1204, 0
Factor -4*y**2 - 40*y + 44.
-4*(y - 1)*(y + 11)
Find s such that 5*s**2 - 870*s + 865 = 0.
1, 173
Let -3*y**2/7 + 1926*y/7 - 309123/7 = 0. What is y?
321
Determine t so that 3*t**3 + 180*t**2 + 2700*t = 0.
-30, 0
Find v, given that 2*v**3/11 - 14*v**2/11 - 8*v = 0.
-4, 0, 11
Determine j so that -242*j**4/17 + 1474*j**3/17 - 2360*j**2/17 + 1416*j/17 - 288/17 = 0.
6/11, 1, 4
Factor -y**2/3 + 50*y/3 + 17.
-(y - 51)*(y + 1)/3
Find n, given that 4*n**2 + 312*n + 6084 = 0.
-39
Find p such that p**2 - 82*p + 81 = 0.
1, 81
Determine z so that z**2/2 - 1825*z/2 + 1823 = 0.
2, 1823
Determine k, given that 3*k**3 - 27*k**2 + 18*k + 48 = 0.
-1, 2, 8
Suppose 5*x**3 - 990*x**2 + 49005*x = 0. What is x?
0, 99
Factor 2*a**4/5 + 18*a**3/5 + 36*a**2/5 - 8*a/5 - 48/5.
2*(a - 1)*(a + 2)**2*(a + 6)/5
Factor -2*b**3 + 20*b**2 - 34*b + 16.
-2*(b - 8)*(b - 1)**2
Solve 6*w**5 + 33*w**4 + 51*w**3 - 6*w**2 - 60*w - 24 = 0.
-2, -1/2, 1
Factor 2*r**2/13 + 136*r/13 - 1386/13.
2*(r - 9)*(r + 77)/13
Determine a so that -a**3/5 - 3*a**2 + 117*a/5 + 1859/5 = 0.
-13, 11
Determine f so that 2*f**3/5 - 24*f**2 + 234*f/5 - 116/5 = 0.
1, 58
Factor -3*m**3 + 30*m**2 + 81*m - 108.
-3*(m - 12)*(m - 1)*(m + 3)
Determine u so that u**2/2 - 10*u - 22 = 0.
-2, 22
Find t, given that 4*t**2 - 12*t - 16 = 0.
-1, 4
Factor 3*l**2 - 75*l - 78.
3*(l - 26)*(l + 1)
Factor 25*u**3 - 80*u**2 - 315*u + 450.
5*(u - 5)*(u + 3)*(5*u - 6)
Factor 2*l**3/3 + 56*l**2/3.
2*l**2*(l + 28)/3
Find t, given that 2*t**4/3 - 58*t**3/3 + 148*t**2 - 280*t/3 - 784/3 = 0.
-1, 2, 14
Determine i, given that -i**3 - 12*i**2 + 61*i - 48 = 0.
-16, 1, 3
Determine x, given that 2*x**4/3 - 892*x**3/3 - 298*x**2 = 0.
-1, 0, 447
Factor 4*p**3 + 1916*p**2 + 224576*p - 1171280.
4*(p - 5)*(p + 242)**2
Find l, given that -l**2/9 + 4*l/9 + 5 = 0.
-5, 9
Suppose -2*c**4 - 4028*c**3/7 + 5198*c**2/7 - 1156*c/7 = 0. Calculate c.
-289, 0, 2/7, 1
What is n in 8*n**3/11 + 38*n**2/11 + 24*n/11 = 0?
-4, -3/4, 0
What is o in -2*o**2/5 + 16*o = 0?
0, 40
Suppose -2*v**4 + 19*v**3 - 60*v**2 + 63*v = 0. What is v?
0, 3, 7/2
Factor -5*j**4 + 5*j**3 + 20*j**2 - 20*j.
-5*j*(j - 2)*(j - 1)*(j + 2)
Let 7*i**4 + 62*i**3 + 96*i**2 + 34*i - 7 = 0. Calculate i.
-7, -1, 1/7
Factor -14*p**3/3 + 26*p**2/3 + 4*p/3.
-2*p*(p - 2)*(7*p + 1)/3
Find d, given that -3*d**2 - 57*d - 102 = 0.
-17, -2
Let -28*a**2 - 36*a - 8 = 0. What is a?
-1, -2/7
Solve -3*g**2 + 75*g - 450 = 0 for g.
10, 15
Factor 5*y**5 - 15*y**4 - 225*y**3 - 405*y**2.
5*y**2*(y - 9)*(y + 3)**2
Factor -4*v**4 - 32*v**3 - 68*v**2 - 40*v.
-4*v*(v + 1)*(v + 2)*(v + 5)
What is i in 44*i**4 - 408*i**3 + 108*i**2 = 0?
0, 3/11, 9
Solve -4*j**5 + 128*j**4 - 240*j**3 = 0.
0, 2, 30
Factor 16*f**4 + 40*f**3 + 17*f**2 + 2*f.
f*(f + 2)*(4*f + 1)**2
Factor -2*p**4/5 + 28*p**3/5 - 98*p**2/5 + 72*p/5.
-2*p*(p - 9)*(p - 4)*(p - 1)/5
Find f such that -27*f**4/8 + 45*f**3/8 + 51*f**2/2 + 45*f/2 + 6 = 0.
-1, -2/3, 4
Factor -g**3/2 - 21*g**2/2 + g/2 + 21/2.
-(g - 1)*(g + 1)*(g + 21)/2
Factor 2*d**2/7 - 114*d/7 - 116/7.
2*(d - 58)*(d + 1)/7
Find f, given that -f**5/2 + 63*f**4/2 - 1083*f**3/2 + 2881*f**2/2 - 1380*f + 450 = 0.
1, 30
What is d in -2*d**2 + 740*d - 4368 = 0?
6, 364
Suppose -2*d**3/13 + 12*d**2/13 - 18*d/13 = 0. Calculate d.
0, 3
Determine d, given that -2*d**2/9 + 14*d/9 - 8/3 = 0.
3, 4
Factor -76*s**3 - 556*s**2 - 168*s.
-4*s*(s + 7)*(19*