.
-6, 0, 2, 15
Factor -2*n**3/7 - 276*n**2/7 - 270*n/7 + 548/7.
-2*(n - 1)*(n + 2)*(n + 137)/7
Factor 99*a**2/5 - 39*a/5 - 18/5.
3*(3*a - 2)*(11*a + 3)/5
Factor -10*g**2/7 - 38*g/7 - 24/7.
-2*(g + 3)*(5*g + 4)/7
Factor 2*n**3/19 - 96*n**2/19.
2*n**2*(n - 48)/19
Suppose 3*a**2 + 30*a + 75 = 0. Calculate a.
-5
Let 4*u**5 + 24*u**4 - 12*u**3 - 80*u**2 - 48*u = 0. What is u?
-6, -1, 0, 2
Factor 4*z**3/9 + 46*z**2/9 + 104*z/9 - 64/9.
2*(z + 4)*(z + 8)*(2*z - 1)/9
Let -5*g**4/2 - 465*g**3/2 + 960*g**2 - 970*g = 0. Calculate g.
-97, 0, 2
Factor g**3 + 7*g**2 + 7*g - 15.
(g - 1)*(g + 3)*(g + 5)
Find v, given that -v**4 - 7*v**3 + 18*v**2 = 0.
-9, 0, 2
Factor 2*f**3/5 + 44*f**2/5 - 1186*f/5 + 228.
2*(f - 15)*(f - 1)*(f + 38)/5
Solve 2*x**5 - 6*x**4 - 22*x**3 + 6*x**2 + 20*x = 0.
-2, -1, 0, 1, 5
Factor 3*z**2/5 + 18438*z/5 + 28329987/5.
3*(z + 3073)**2/5
Find q such that -2*q**2/3 - 232*q/3 + 472/3 = 0.
-118, 2
Factor -2*d**2/3 - 874*d/3 + 292.
-2*(d - 1)*(d + 438)/3
Let 21*z**3 + 303*z**2/5 - 48*z/5 - 36/5 = 0. Calculate z.
-3, -2/7, 2/5
What is m in -3*m**4 + 24*m**3 + 63*m**2 - 24*m - 60 = 0?
-2, -1, 1, 10
Factor 4*z**2 - 5456*z + 1860496.
4*(z - 682)**2
Let 16*r**4/9 - 92*r**3/9 + 104*r**2/9 + 32*r/9 = 0. What is r?
-1/4, 0, 2, 4
Factor 5*k**2 + 6360*k - 6365.
5*(k - 1)*(k + 1273)
Factor -3*h**3 + 291*h**2 + 3*h - 291.
-3*(h - 97)*(h - 1)*(h + 1)
Suppose 2*f**2/11 + 332*f/11 + 13778/11 = 0. What is f?
-83
Find h, given that -h**3 - 26*h**2 + 27*h = 0.
-27, 0, 1
Suppose -2*o**3/21 - 16*o**2/21 - 26*o/21 - 4/7 = 0. Calculate o.
-6, -1
What is a in -10*a**5/9 - 8*a**4/9 + 4*a**3/3 + 8*a**2/9 - 2*a/9 = 0?
-1, 0, 1/5, 1
Factor -q**2 - 4*q + 5.
-(q - 1)*(q + 5)
Let -8*c**4/3 - 182*c**3/3 - 278*c**2 - 868*c/3 + 272/3 = 0. What is c?
-17, -4, -2, 1/4
Factor -2*v**3 - 14*v**2 - 24*v.
-2*v*(v + 3)*(v + 4)
Factor 985*q**3 + 2950*q**2 - 15*q.
5*q*(q + 3)*(197*q - 1)
Find l such that -95*l**5 - 180*l**4 - 75*l**3 + 10*l**2 = 0.
-1, 0, 2/19
Factor -4*x**4 - 68*x**3 + 76*x**2 + 68*x - 72.
-4*(x - 1)**2*(x + 1)*(x + 18)
Factor s**4/4 - 29*s**3/4 + 223*s**2/4 - 663*s/4 + 171.
(s - 19)*(s - 4)*(s - 3)**2/4
Find b, given that 2*b**2/9 - 1022*b/3 = 0.
0, 1533
Suppose -4*t**3 - 204*t**2 - 2700*t - 2500 = 0. Calculate t.
-25, -1
Determine n so that -n**2/5 + 4*n - 36/5 = 0.
2, 18
Let 4*q**4/9 + 13214*q**3/9 + 1617002*q**2 + 593978490*q + 296585178 = 0. Calculate q.
-1101, -1/2
Factor -3*w**5 + 6*w**4 + 21*w**3 + 12*w**2.
-3*w**2*(w - 4)*(w + 1)**2
Solve k**4/2 + 2*k**3 - 7*k**2/2 - 5*k = 0.
-5, -1, 0, 2
Let 4*t**5/9 - 8*t**4/9 - 4*t**3/3 + 32*t**2/9 - 16*t/9 = 0. Calculate t.
-2, 0, 1, 2
Suppose -2*a**2 + 45*a + 23 = 0. Calculate a.
-1/2, 23
Solve 3*z**2/5 + 96*z/5 = 0 for z.
-32, 0
Factor -n**3/3 + 2*n**2/3 + 13*n/3 + 10/3.
-(n - 5)*(n + 1)*(n + 2)/3
Factor 2*z**2 + 50*z.
2*z*(z + 25)
Factor 4*q**5 - 44*q**4 + 184*q**3 - 368*q**2 + 352*q - 128.
4*(q - 4)*(q - 2)**3*(q - 1)
Solve 64*u**3 - 4128*u**2 + 2052*u - 256 = 0.
1/4, 64
Factor 2*l**2/9 - 34*l/9 + 32/9.
2*(l - 16)*(l - 1)/9
Suppose -3*r**2 + 69*r/5 + 6 = 0. What is r?
-2/5, 5
Determine w, given that -11*w**3/7 + 64*w**2/7 - 12*w = 0.
0, 2, 42/11
Solve 4*q**3 + 9776*q**2 - 19564*q + 9784 = 0.
-2446, 1
Let -3*c**3 - 6*c**2 + 9*c = 0. What is c?
-3, 0, 1
Determine i so that 6*i**5 - 27*i**4 - 66*i**3 + 63*i**2 + 60*i - 36 = 0.
-2, -1, 1/2, 1, 6
What is d in 28*d**5 - 58*d**4 + 4*d**3 + 56*d**2 - 32*d + 2 = 0?
-1, 1/14, 1
Factor -5*i**2 - 240*i - 675.
-5*(i + 3)*(i + 45)
Factor -2*u**3/3 - 14*u**2/3 + 16*u/3.
-2*u*(u - 1)*(u + 8)/3
Let -q**5/10 - 67*q**4/5 + q**3/5 + 134*q**2/5 - q/10 - 67/5 = 0. What is q?
-134, -1, 1
Factor -v**2/9 - 2*v/3 + 40/9.
-(v - 4)*(v + 10)/9
Let -52*w**3/5 + 576*w**2/5 - 564*w/5 + 8 = 0. Calculate w.
1/13, 1, 10
Solve 3*s**5/8 - 135*s**4/8 + 1125*s**3/4 - 8385*s**2/4 + 53235*s/8 - 59319/8 = 0.
3, 13
Suppose -13*c**3 + 16*c**2 + 59*c + 30 = 0. Calculate c.
-1, -10/13, 3
Factor -3*p**3/5 - 1374*p**2/5 - 158688*p/5 - 311904/5.
-3*(p + 2)*(p + 228)**2/5
What is d in -4*d**3 + 56*d**2 - 228*d + 288 = 0?
3, 8
Factor y**5 - 9*y**4 + 28*y**3 - 36*y**2 + 16*y.
y*(y - 4)*(y - 2)**2*(y - 1)
Suppose 6*h**4 - 2678*h**3 + 296572*h**2 + 503552*h - 200704 = 0. Calculate h.
-2, 1/3, 224
Solve 2*u**5/13 + 84*u**4/13 + 204*u**3/13 - 1136*u**2/13 + 1314*u/13 - 36 = 0.
-39, -6, 1
Find c such that -5*c**4 - 375*c**3 - 7570*c**2 - 20160*c - 12960 = 0.
-36, -2, -1
Factor 5*k**2 + 500*k + 495.
5*(k + 1)*(k + 99)
Find j, given that -2*j**3/5 - 304*j**2 - 287274*j/5 + 580644/5 = 0.
-381, 2
Solve -x**2/2 - 287*x = 0.
-574, 0
Factor 3*f**3 - 78*f**2 + 69*f + 150.
3*(f - 25)*(f - 2)*(f + 1)
Determine z so that 6*z**2/7 + 2*z/7 = 0.
-1/3, 0
Factor -5*c**4 + 155*c**3 - 150*c**2.
-5*c**2*(c - 30)*(c - 1)
Factor -g**4 - g**3 + 3*g**2 + g - 2.
-(g - 1)**2*(g + 1)*(g + 2)
Solve -26*w**4 + 388*w**3 - 958*w**2 + 548*w + 48 = 0.
-1/13, 1, 2, 12
Determine a, given that a**4 + 4*a**3 + 2*a**2 - 4*a - 3 = 0.
-3, -1, 1
Factor -2*l**5/21 + 20*l**4/3 - 2840*l**3/21 + 5200*l**2/21 + 216320*l/21 + 562432/21.
-2*(l - 26)**3*(l + 4)**2/21
Solve y**3/3 + 79*y**2 + 6241*y + 493039/3 = 0 for y.
-79
Factor 5*u**3/2 - 3325*u**2 + 1102230*u + 2217780.
5*(u - 666)**2*(u + 2)/2
Let -3*o**2/2 - 93*o - 2883/2 = 0. Calculate o.
-31
Determine w, given that -w**2/8 - 73*w/4 + 447/8 = 0.
-149, 3
Solve -2*u**3/7 - 60*u**2/7 - 114*u/7 - 8 = 0.
-28, -1
What is i in -34*i**3 + 188*i**2 - 274*i + 120 = 0?
1, 60/17
Find t such that -4*t**2 - 172*t + 176 = 0.
-44, 1
Factor -4*s**2 + 820*s + 1656.
-4*(s - 207)*(s + 2)
Suppose 2*k**5/5 + 16*k**4/5 + 44*k**3/5 + 56*k**2/5 + 34*k/5 + 8/5 = 0. What is k?
-4, -1
Factor 5*d**3 - 515*d**2 - 9200*d - 38080.
5*(d - 119)*(d + 8)**2
Factor 4*q**5/5 + 32*q**4/5.
4*q**4*(q + 8)/5
Determine o, given that -3*o**5/2 - 12*o**4 - 45*o**3/2 + 12*o**2 + 24*o = 0.
-4, -1, 0, 1
Factor 16*k**5/9 + 254*k**4/9 - 32*k**3/9.
2*k**3*(k + 16)*(8*k - 1)/9
Suppose 2*q**3/11 - 158*q**2/11 - 160*q/11 = 0. Calculate q.
-1, 0, 80
Determine y so that -4*y**4 - 2632*y**3 + 12*y**2 + 7904*y + 5264 = 0.
-658, -1, 2
Determine n, given that 2*n**4/3 - 24*n**3 + 488*n**2/3 + 960*n + 3200/3 = 0.
-2, 20
Factor -4*s**5 + 864*s**4 - 69984*s**3 + 2519424*s**2 - 34012224*s.
-4*s*(s - 54)**4
Suppose -f**5/3 + f**4/3 + 4*f**3/3 - 4*f**2/3 = 0. What is f?
-2, 0, 1, 2
Factor 33*s**4 - 144*s**3 + 180*s**2 - 48*s.
3*s*(s - 2)**2*(11*s - 4)
Factor m**3/7 + 48*m**2/7 + 93*m/7 + 46/7.
(m + 1)**2*(m + 46)/7
Solve -1872*d**5/7 - 642*d**4/7 + 1034*d**3/7 - 198*d**2/7 - 2*d/7 = 0 for d.
-1, -1/104, 0, 1/3
Determine a so that -2*a**4/9 - 308*a**3/9 - 34*a**2 = 0.
-153, -1, 0
Solve -2*m**2/7 - 22*m/7 + 52/7 = 0.
-13, 2
Factor -a**5 + 4*a**3 - 2*a**2 - 3*a + 2.
-(a - 1)**3*(a + 1)*(a + 2)
Factor 4*f**2 - 4*f - 8.
4*(f - 2)*(f + 1)
Factor 2*f**3/7 - 7542*f**2/7 + 9480294*f/7 - 3972243186/7.
2*(f - 1257)**3/7
What is x in 2*x**4 - 512*x**3 + 1010*x**2 + 1524*x = 0?
-1, 0, 3, 254
Factor 2*f**2 + 48*f - 50.
2*(f - 1)*(f + 25)
Determine u so that -4*u**5/5 + 4*u**4 + 368*u**3/5 - 1408*u**2/5 - 7168*u/5 + 8192/5 = 0.
-8, -4, 1, 8
Factor -6*o**4/5 - 42*o**3/5 - 108*o**2/5 - 24*o - 48/5.
-6*(o + 1)*(o + 2)**3/5
Factor u**4 - 13*u**3 - 15*u**2 + 13*u + 14.
(u - 14)*(u - 1)*(u + 1)**2
Factor -5*s**3 + 115*s**2 + 425*s - 15895.
-5*(s - 17)**2*(s + 11)
Factor -5*n**4 - 7825*n**3 - 4079430*n**2 - 707095980*n + 711183240.
-5*(n - 1)*(n + 522)**3
Suppose -75*b**5 - 155*b**4 + 650*b**3 + 180*b**2 - 440*b - 160 = 0. What is b?
-4, -2/3, -2/5, 1, 2
Find b such that -3*b**4/7 - 32*b**3/7 - 17*b**2/7 + 32*b/7 + 20/7 = 0.
-10, -1, -2/3, 1
Determine f, given that 9*f**2/2 + 22296*f - 14865/2 = 0.
-4955, 1/3
Factor 4*z**4 - 68*z**3 + 364*z**2 - 588*z.
4*z*(z - 7)**2*(z - 3)
Factor -l**2/3 + 236*l/3 - 156.
-(l - 234)*(l - 2)/3
Let 2*s**5/11 - 60*s**4/11 + 600*s**3/11 - 2320*s**2/11 + 3840*s/11 - 2304/11 = 0. What is s?
2, 12
Find q such that -q**4/4 + 5*q**3/2 - 27*q**2/4 + 9*q/2 = 0.
0, 1, 3, 6
Suppose 20*f**5 - 44*f**4 - 228*f**3 - 244*f**2 - 80*f = 0. What is f?
-1, -4/5, 0, 5
Find d, given that -15*d**5 + 100*d**4 - 45*d**3 - 100*d**2 + 60*d = 0.
-1, 0, 2/3, 1, 6
Determine g so that -g**5/3 + 4*g**4/3 + 8*g**3/3 - 14*g**2/3 - 7*g/3 + 10/3 = 0.
-2, -1, 1, 5
Factor -4*n**3 - 3500*n**2 + 350