/2 = 0.
-2, -1, 0, 1
Factor -4*s**4 - 8*s**3 + 48*s**2 + 160*s + 128.
-4*(s - 4)*(s + 2)**3
Find l, given that 3*l**3 - 39*l**2 + 36*l = 0.
0, 1, 12
Factor m**3 + 16*m**2/7 + 11*m/7 + 2/7.
(m + 1)**2*(7*m + 2)/7
Let -a**4 - 2*a**3 + 8*a**2 = 0. What is a?
-4, 0, 2
Factor -2*l**2/9 + 2908*l/9 - 1057058/9.
-2*(l - 727)**2/9
Factor -4*x**2 + 3832*x/5 + 1536/5.
-4*(x - 192)*(5*x + 2)/5
What is a in 3*a**3/7 - 51*a**2/7 + 6*a + 96/7 = 0?
-1, 2, 16
Factor 3*w**4 - 318*w**3 + 8100*w**2 + 17496*w.
3*w*(w - 54)**2*(w + 2)
Solve -2*m**5/5 - 66*m**4/5 - 564*m**3/5 - 1316*m**2/5 - 1194*m/5 - 378/5 = 0 for m.
-21, -9, -1
Suppose -i**4/6 + 2*i**3 + 27*i**2 - 486*i + 3645/2 = 0. What is i?
-15, 9
Suppose -i**2/3 - 58*i/3 + 59/3 = 0. What is i?
-59, 1
Factor 36*s**3/7 + 172*s**2/7 + 104*s/7 - 32/7.
4*(s + 1)*(s + 4)*(9*s - 2)/7
Determine b so that b**3/4 - 7*b**2/4 + 3*b/2 = 0.
0, 1, 6
Determine n so that -2*n**3 - 600*n**2 - 60000*n - 2000000 = 0.
-100
Solve -5*m**5/9 - 253*m**4/9 - 863*m**3/9 - 799*m**2/9 + 4*m/9 + 188/9 = 0.
-47, -2, -1, 2/5
Factor w**5/2 + 29*w**4/2 + 307*w**3/2 + 1467*w**2/2 + 1620*w + 1350.
(w + 3)**3*(w + 10)**2/2
Factor -35*n**4 + 110*n**3 + 335*n**2 - 50*n.
-5*n*(n - 5)*(n + 2)*(7*n - 1)
Solve -3*j**3 + 678*j**2 + 3*j - 678 = 0.
-1, 1, 226
Determine o, given that -5*o**2 - 400*o + 405 = 0.
-81, 1
What is b in -27*b**4 + 7827*b**3 + 16611*b**2 + 9633*b + 876 = 0?
-1, -1/9, 292
Let -3*m**2 - 25374*m - 53653323 = 0. What is m?
-4229
Factor 2*p**2/9 - 10*p/3 - 152/9.
2*(p - 19)*(p + 4)/9
Factor -2*i**2/7 + 56*i + 3264/7.
-2*(i - 204)*(i + 8)/7
Factor -2*o**4 + 6*o**3 + 2*o**2 - 6*o.
-2*o*(o - 3)*(o - 1)*(o + 1)
Factor -28*b**2 + 3592*b - 1024.
-4*(b - 128)*(7*b - 2)
Factor 5*c**4 + 2660*c**3.
5*c**3*(c + 532)
Factor 242*o**2/3 - 1496*o + 6936.
2*(11*o - 102)**2/3
Factor p**3/4 + 2*p**2 - 9*p/4.
p*(p - 1)*(p + 9)/4
Factor 2*g**3 - 104*g**2 + 1242*g + 2916.
2*(g - 27)**2*(g + 2)
Factor t**2 + 1135*t + 2266.
(t + 2)*(t + 1133)
Suppose p**5/6 + 7*p**4/2 - 23*p**3/2 + 71*p**2/6 - 4*p = 0. What is p?
-24, 0, 1
Factor -v**2 - 9*v + 52.
-(v - 4)*(v + 13)
Solve -2*f**3/9 + 10*f**2/9 + 56*f/9 - 64/9 = 0.
-4, 1, 8
Suppose 4*y**4 - 48*y**3 + 128*y**2 = 0. Calculate y.
0, 4, 8
Factor q**3/4 - 205*q**2/4.
q**2*(q - 205)/4
Let -d**4/2 + d**3/2 + 3*d**2/2 - d/2 - 1 = 0. Calculate d.
-1, 1, 2
Solve -3*z**2 - 21*z = 0.
-7, 0
Solve -j**5/2 + 12*j**4 - 109*j**3/2 - 273*j**2 + 676*j = 0 for j.
-4, 0, 2, 13
Suppose 4*p**2 + 136*p/5 + 116/5 = 0. Calculate p.
-29/5, -1
Solve 1445*g**5 + 816*g**4 - 3431*g**3 + 1342*g**2 - 180*g + 8 = 0 for g.
-2, 2/17, 1/5, 1
Suppose -w**2 - 22*w + 23 = 0. What is w?
-23, 1
Solve 2*d**2 - 82*d = 0 for d.
0, 41
Determine l, given that l**4/4 + 9*l**3/8 - 17*l**2/8 + 3*l/4 = 0.
-6, 0, 1/2, 1
Factor -2*w**3/21 - 4*w**2/3.
-2*w**2*(w + 14)/21
Determine h, given that -4*h**5 - 40*h**4 + 488*h**3 + 112*h**2 - 1508*h + 952 = 0.
-17, -2, 1, 7
Suppose -3*g**2 - 18*g = 0. Calculate g.
-6, 0
Factor 2*s**2 - 14*s.
2*s*(s - 7)
Solve -h**2 + 5*h + 66 = 0.
-6, 11
Suppose -2*h**3 + 46*h**2 = 0. What is h?
0, 23
Factor -4*u**4 - 48*u**3 - 168*u**2 - 80*u + 300.
-4*(u - 1)*(u + 3)*(u + 5)**2
Factor 2*y**5/13 + 4*y**4/13 + 2*y**3/13.
2*y**3*(y + 1)**2/13
Factor -16*j**5/9 + 488*j**4/9 + 84*j**3 + 382*j**2/9 + 64*j/9.
-2*j*(j - 32)*(2*j + 1)**3/9
Factor -4*g**2/5 - 8*g/5.
-4*g*(g + 2)/5
Suppose 242*u**4/7 + 1012*u**3/7 + 1096*u**2/7 - 16*u/7 - 192/7 = 0. Calculate u.
-2, -6/11, 4/11
Suppose 50*n**5/7 - 160*n**4/7 - 2*n**3/7 + 88*n**2/7 + 24*n/7 = 0. What is n?
-2/5, 0, 1, 3
Solve -2*i**4 + 6*i**3 - 8*i = 0.
-1, 0, 2
Determine b, given that 2*b**3/7 - 1486*b**2/7 + 39538*b - 39326 = 0.
1, 371
Suppose -16*l**3 + 140*l**2 - 188*l - 56 = 0. Calculate l.
-1/4, 2, 7
Determine v so that -v**5/3 + 2*v**4 + 8*v**3 - 80*v**2/3 - 112*v - 96 = 0.
-2, 6
Factor -2*p**2/15 + 2*p/15 + 1012/15.
-2*(p - 23)*(p + 22)/15
Factor 3*g**2/4 - 180*g.
3*g*(g - 240)/4
Determine m, given that -4*m**4 + 47*m**3 + 504*m**2 + 883*m + 190 = 0.
-5, -2, -1/4, 19
Factor -5*n**3 + 140*n**2 - 880*n + 1600.
-5*(n - 20)*(n - 4)**2
Find p, given that 2*p**3/9 + 16*p**2/3 - 34*p/3 + 52/9 = 0.
-26, 1
Factor 4*m**3 - 484*m**2 + 14396*m + 14884.
4*(m - 61)**2*(m + 1)
Factor j**4/3 - 8*j**3/3 + 5*j**2.
j**2*(j - 5)*(j - 3)/3
Factor 2*o**3 - 146*o**2 + 286*o - 142.
2*(o - 71)*(o - 1)**2
Determine m, given that -3*m**2/2 + 15*m/2 + 36 = 0.
-3, 8
Solve -2*j**4/9 + 4*j**3/3 - 2*j**2 - 8*j/9 + 8/3 = 0 for j.
-1, 2, 3
Solve 5*a**4 + 35*a**3 - 170*a**2 - 200*a = 0.
-10, -1, 0, 4
Find x such that -3*x**2 + 117*x + 246 = 0.
-2, 41
What is t in -4*t**3/3 - 26*t**2/15 + 8*t/15 + 14/15 = 0?
-1, 7/10
Suppose 5*r**2 - 11360*r - 11365 = 0. What is r?
-1, 2273
Suppose 25*k**3 + 15*k**2 - 90*k - 80 = 0. Calculate k.
-8/5, -1, 2
Factor 2*h**2/9 - 568*h/9 + 566/9.
2*(h - 283)*(h - 1)/9
What is t in -4*t**5 + 44*t**4 - 72*t**3 - 8*t**2 + 76*t - 36 = 0?
-1, 1, 9
Determine i so that i**5 - 5*i**4 + i**3 + 21*i**2 - 18*i = 0.
-2, 0, 1, 3
Factor 3*u**2/7 + 9*u + 162/7.
3*(u + 3)*(u + 18)/7
Determine w, given that w**3/5 - 38*w**2/5 + 64*w + 160 = 0.
-2, 20
Factor -2*x**3/7 - 720*x**2 - 604800*x - 169344000.
-2*(x + 840)**3/7
Suppose 3*k**3/5 + 36*k**2/5 - 33*k - 90 = 0. What is k?
-15, -2, 5
Let k**2/4 - 265*k/2 = 0. Calculate k.
0, 530
Factor -2*j**2 - 138*j - 136.
-2*(j + 1)*(j + 68)
Factor 2*l**4 + 38*l**3 - 194*l**2 - 230*l.
2*l*(l - 5)*(l + 1)*(l + 23)
Factor 2*q**3/11 - 14*q**2/11 + 30*q/11 - 18/11.
2*(q - 3)**2*(q - 1)/11
Let -8*p**4/3 + 294*p**3 - 1948*p**2/3 + 144*p = 0. Calculate p.
0, 1/4, 2, 108
Factor 2*u**5/5 + 192*u**4/5 + 5154*u**3/5 + 26476*u**2/5 + 10008*u + 6480.
2*(u + 2)**3*(u + 45)**2/5
Factor -128*h**3/5 + 608*h**2/5 + 406*h - 1960.
-2*(h + 4)*(8*h - 35)**2/5
Find x, given that x**5/2 + 2*x**4 - 17*x**3/2 - 12*x**2 + 18*x = 0.
-6, -2, 0, 1, 3
Determine c so that 2*c**4/9 - 118*c**3/9 + 74*c**2/3 + 38*c = 0.
-1, 0, 3, 57
Factor 2*n**3/5 - 8*n**2/5 - 6*n/5 + 36/5.
2*(n - 3)**2*(n + 2)/5
Suppose -8*t**5/7 - 6*t**4/7 + 18*t**3/7 - 4*t**2/7 = 0. Calculate t.
-2, 0, 1/4, 1
Let -b**4 - 4*b**3 + 18*b**2 - 20*b + 7 = 0. Calculate b.
-7, 1
Let -2*p**3 + 8*p**2 - 6*p = 0. What is p?
0, 1, 3
Factor -3*b**2 + 1152*b - 110592.
-3*(b - 192)**2
Let -v**4/3 + 13*v**3/3 + 16*v**2 = 0. What is v?
-3, 0, 16
Find t such that -2*t**3 - 154*t**2 - 302*t - 150 = 0.
-75, -1
Find n such that 5*n**5 + 75*n**4 + 55*n**3 - 235*n**2 - 360*n - 140 = 0.
-14, -1, 2
Suppose 6*t**5/5 - 14*t**4 - 64*t**3/5 + 3312*t**2/5 - 11232*t/5 + 6048/5 = 0. Calculate t.
-7, 2/3, 6
What is a in 5*a**5 - 140*a**4 - 1855*a**3 - 1710*a**2 = 0?
-9, -1, 0, 38
Solve -2*a**2 + 1656*a - 1654 = 0.
1, 827
Solve 27*z**4 - 135*z**3 + 459*z**2/4 - 55*z/2 + 2 = 0.
1/6, 2/3, 4
Find n such that 2*n**3/5 + 28*n**2/15 + 14*n/15 - 8/15 = 0.
-4, -1, 1/3
Factor 12*z**5/5 + 32*z**4/5 + 16*z**3/5.
4*z**3*(z + 2)*(3*z + 2)/5
Solve 5*p**2/3 - 212*p/3 + 28 = 0.
2/5, 42
Suppose 3*a**5 + 120*a**4 + 114*a**3 - 120*a**2 - 117*a = 0. What is a?
-39, -1, 0, 1
Factor -x**3/6 + 10*x**2/3 - 50*x/3.
-x*(x - 10)**2/6
Factor -g**2/4 + 43*g/4 - 41/2.
-(g - 41)*(g - 2)/4
Let -4*m**3 + 402*m**2 + 204*m - 202 = 0. Calculate m.
-1, 1/2, 101
Find f, given that -3*f**3 + 108*f**2 - 477*f + 372 = 0.
1, 4, 31
Suppose n**3 + 6*n**2 - 16*n = 0. What is n?
-8, 0, 2
Solve 5*b**5 + 160*b**4 + 300*b**3 - 10*b**2 - 305*b - 150 = 0.
-30, -1, 1
Determine i, given that -16*i**5/11 + 104*i**4/11 + 92*i**3/11 - 274*i**2/11 + 158*i/11 - 28/11 = 0.
-2, 1/2, 7
Suppose f**3 - 21*f**2 + 39*f - 19 = 0. What is f?
1, 19
Solve 20*q**5 - 2295*q**4 + 1665*q**3 + 5120*q**2 + 1140*q = 0 for q.
-1, -1/4, 0, 2, 114
Factor 5*s**3 + 10*s**2 - 75*s - 180.
5*(s - 4)*(s + 3)**2
Factor -600*s**3 - 1140*s**2 + 237*s/2 - 3.
-3*(s + 2)*(20*s - 1)**2/2
Suppose 28*c**5/3 + 608*c**4/3 - 516*c**3 - 224*c**2/3 + 1520*c/3 - 128 = 0. What is c?
-24, -1, 2/7, 1, 2
Find k such that 3*k**5 - 6*k**4 - 12*k**3 + 6*k**2 + 9*k = 0.
-1, 0, 1, 3
Factor 1024*w**4/9 + 2176*w**3/9 + 176*w**2 + 54*w + 6.
2*(w + 1)*(8*w + 3)**3/9
Factor -5*m**2 - 385*m + 2940.
-5*(m - 7)*(m + 84)
Find t such that -t**3/8 + 5025*t**2/8 - 8416875*t/8 + 4699421875/8 = 0.
1675
What is d in -d**4/2 - d**3/6 + 29*d**2/6 + 3*d/2 - 3 = 0?
-3, -1, 2/3, 3
Factor 4