*2
Let n**5 + 60*n**4 + 227*n**3 + 164*n**2 - 228*n - 224 = 0. Calculate n.
-56, -2, -1, 1
Factor -j**4 - 8*j**3/3 - j**2 + 2*j/3.
-j*(j + 1)*(j + 2)*(3*j - 1)/3
Factor 372645*r**4 - 383565*r**3 + 11000*r**2 - 80*r.
5*r*(r - 1)*(273*r - 4)**2
Solve -2*b**4/19 + 54*b**3/19 - 346*b**2/19 + 834*b/19 - 36 = 0 for b.
2, 3, 19
Factor -3*v**2 - 18*v.
-3*v*(v + 6)
Factor 5*j**4 - 10*j**3 - 40*j**2 + 90*j - 45.
5*(j - 3)*(j - 1)**2*(j + 3)
Determine n so that 2*n**2/11 + 102*n/11 = 0.
-51, 0
Factor a**2/4 + 221*a + 883/4.
(a + 1)*(a + 883)/4
Solve 3*z**5 - 12*z**4 - 57*z**3 - 42*z**2 = 0 for z.
-2, -1, 0, 7
Suppose -2*n**2 + 12816*n - 20531232 = 0. Calculate n.
3204
Solve 2*q**3/9 - 76*q**2/9 - 2*q/9 + 76/9 = 0.
-1, 1, 38
Find v, given that 48*v**2 - 213*v/2 + 21 = 0.
7/32, 2
Factor 4*c**3/7 - 17380*c**2/7 + 18887712*c/7 - 18870336/7.
4*(c - 2172)**2*(c - 1)/7
What is a in -a**4 + 170*a**3 - 7393*a**2 + 14280*a - 7056 = 0?
1, 84
Factor 6*x**4/5 + 3*x**3 + 9*x**2/5 - 3*x/5 - 3/5.
3*(x + 1)**3*(2*x - 1)/5
Factor -3*r**4/5 - 2472*r**3/5 - 763848*r**2/5 - 104901792*r/5 - 5402442288/5.
-3*(r + 206)**4/5
What is m in -5*m**3 - 40*m**2 = 0?
-8, 0
Factor -3*p**4/7 + 141*p**3/7 + 291*p**2/7 + 21*p.
-3*p*(p - 49)*(p + 1)**2/7
Let 14*d**4 - 634*d**3 + 1342*d**2 + 1474*d - 516 = 0. Calculate d.
-1, 2/7, 3, 43
Find f, given that -16*f**5 - 168*f**4 + 79*f**3 + 2506*f**2 - 5145*f + 2744 = 0.
-8, -7, 1, 7/4
Suppose -t**4/8 + 3*t**3/4 - t**2/2 - 3*t/4 + 5/8 = 0. Calculate t.
-1, 1, 5
Factor -5*p**4 - 20*p**3 + 425*p**2 + 440*p.
-5*p*(p - 8)*(p + 1)*(p + 11)
Solve 45*z**5 + 190*z**4 - 635*z**3 - 960*z**2 - 180*z = 0 for z.
-6, -1, -2/9, 0, 3
Determine w so that -w**5/3 + 7*w**3/3 + 2*w**2/3 - 4*w - 8/3 = 0.
-2, -1, 2
Find n, given that 3*n**3/4 + 339*n**2/2 + 1347*n/4 + 168 = 0.
-224, -1
Let 5*w**5 + 25*w**4 - 95*w**3 - 385*w**2 + 90*w + 360 = 0. Calculate w.
-6, -3, -1, 1, 4
Factor -q**3/11 + 226*q**2/11.
-q**2*(q - 226)/11
Factor n**4 - 240*n**3 + 14400*n**2.
n**2*(n - 120)**2
Let 4*a**5/3 - 28*a**4 + 80*a**3/3 = 0. Calculate a.
0, 1, 20
Factor -6*c**3 + 674*c**2 - 224*c.
-2*c*(c - 112)*(3*c - 1)
Find r, given that 12*r**3 + 1516*r**2 + 6304*r - 4880 = 0.
-122, -5, 2/3
Factor 2*i**5/15 + 32*i**4/15 - 34*i**3/15.
2*i**3*(i - 1)*(i + 17)/15
Factor -x**3/6 - 7*x**2/2 - 13*x/2 + 845/6.
-(x - 5)*(x + 13)**2/6
Find m such that -336*m**4/11 + 278*m**3/11 - 24*m**2/11 - 8*m/11 = 0.
-1/8, 0, 2/7, 2/3
Find v, given that -10*v**3 + 58*v**2 - 100*v + 48 = 0.
4/5, 2, 3
Find z, given that z**3 - 5*z**2 + 2*z + 8 = 0.
-1, 2, 4
Determine d so that 2*d**5 + 6*d**4 - 478*d**3 - 1926*d**2 - 2404*d - 960 = 0.
-15, -2, -1, 16
Factor 2*l**2/9 - 14*l/9 + 4/3.
2*(l - 6)*(l - 1)/9
Let -t**5/4 + 25*t**4/4 - 79*t**3/2 - 22*t**2 + 312*t + 288 = 0. Calculate t.
-2, -1, 4, 12
Factor u**3/5 + 31*u**2/5 + 103*u/5 - 27.
(u - 1)*(u + 5)*(u + 27)/5
Suppose -2*d**4/3 + 46*d**3/3 - 94*d**2 + 154*d/3 + 484/3 = 0. What is d?
-1, 2, 11
Suppose -3*m**3 - 108*m**2 + 471*m - 360 = 0. Calculate m.
-40, 1, 3
Factor -2*u**4/3 + 26*u**3/3 - 32*u**2 + 24*u.
-2*u*(u - 6)**2*(u - 1)/3
Find g, given that 2*g**3 - 8*g**2 - 30*g + 36 = 0.
-3, 1, 6
Factor 10*m**3 + 14*m**2 + 4*m.
2*m*(m + 1)*(5*m + 2)
Suppose s**4/8 - 9*s**3/8 + 3*s**2/4 + 2*s = 0. Calculate s.
-1, 0, 2, 8
Factor 4*k**3 + 32*k**2 + 60*k.
4*k*(k + 3)*(k + 5)
What is l in 2*l**2/7 - 104*l/7 - 960/7 = 0?
-8, 60
Let -3*w**5 + 36*w**4 - 84*w**3 - 270*w**2 + 951*w - 630 = 0. What is w?
-3, 1, 2, 5, 7
Determine c, given that -5*c**3 + 100*c**2 - 640*c + 1280 = 0.
4, 8
Factor -2*r**2/19 + 18*r/19 + 20/19.
-2*(r - 10)*(r + 1)/19
Let o**4/3 - 10*o**3/3 + 32*o**2/3 - 38*o/3 + 5 = 0. What is o?
1, 3, 5
Find y such that y**3 - 7*y**2 - 40*y - 44 = 0.
-2, 11
Find j such that j**2/6 + 23*j/6 = 0.
-23, 0
Let -3*i**5/4 + 3*i**4/4 + 15*i**3/4 - 15*i**2/4 - 3*i + 3 = 0. Calculate i.
-2, -1, 1, 2
Let 2*j**3 + 4178*j**2 - 2*j - 4178 = 0. Calculate j.
-2089, -1, 1
Solve -3*f**2 - 45*f - 168 = 0.
-8, -7
Factor 3*d**3 - 1812*d**2 - 3636*d.
3*d*(d - 606)*(d + 2)
Find x such that -2*x**2/9 - 134*x/9 = 0.
-67, 0
Determine w, given that -3*w**2 - 66*w + 720 = 0.
-30, 8
Let 9*z**4/5 - 83*z**3/5 + 198*z**2/5 - 148*z/5 + 24/5 = 0. Calculate z.
2/9, 1, 2, 6
Factor -3*w**3 + 3*w**2 + 75*w - 75.
-3*(w - 5)*(w - 1)*(w + 5)
Factor -j**4/9 + 388*j**3/9 - 18818*j**2/3 + 3650692*j/9 - 88529281/9.
-(j - 97)**4/9
Solve -2*i**2 + 496*i - 494 = 0.
1, 247
What is s in -7*s**4/5 + 23*s**3/5 - 6*s**2/5 = 0?
0, 2/7, 3
What is w in -2*w**5/21 + 2*w**4/21 + 4*w**3/21 - 4*w**2/21 - 2*w/21 + 2/21 = 0?
-1, 1
Determine m, given that -12*m**4/5 + 144*m**3 - 2727*m**2/5 + 2193*m/5 - 504/5 = 0.
1/2, 3, 56
Factor -4*c**2 - 8784*c - 4822416.
-4*(c + 1098)**2
Determine p so that 3*p**2 - 171*p - 354 = 0.
-2, 59
Factor -r**3 + 3*r - 2.
-(r - 1)**2*(r + 2)
Find g, given that -324*g**2/5 + 71856*g/5 - 3984016/5 = 0.
998/9
Find h such that 2*h**5 + 6*h**4 - 106*h**3 - 510*h**2 - 400*h = 0.
-5, -1, 0, 8
Let -f**4/5 + 3*f**3/5 - 2*f**2/5 = 0. Calculate f.
0, 1, 2
Factor 2*f**3 + 166*f**2 - 512*f + 344.
2*(f - 2)*(f - 1)*(f + 86)
Solve 2*m**3/5 + 362*m**2/5 + 17574*m/5 + 105966/5 = 0 for m.
-87, -7
Determine h, given that -3*h**5/7 + 78*h**4/7 - 552*h**3/7 - 240*h**2/7 + 1200*h + 12000/7 = 0.
-2, 10
Factor -q**2/3 - 350*q/3 - 30625/3.
-(q + 175)**2/3
Factor 4*c**2 - 284*c - 1848.
4*(c - 77)*(c + 6)
Determine k so that 4*k**5 + 19*k**4 + 28*k**3 + 12*k**2 = 0.
-2, -3/4, 0
Factor -3*r**4 + 39*r**3 - 138*r**2 + 36*r + 216.
-3*(r - 6)**2*(r - 2)*(r + 1)
Solve -a**5/4 + 3*a**4/2 - 3*a**3 + 5*a**2/2 - 3*a/4 = 0.
0, 1, 3
Factor 2*j**3/11 + 26*j**2 + 566*j/11 + 282/11.
2*(j + 1)**2*(j + 141)/11
What is j in j**3/6 - 53*j**2/6 - j/6 + 53/6 = 0?
-1, 1, 53
Factor i**5/8 + 2*i**4 - 9*i**3/2 + i**2/4 + 35*i/8 - 9/4.
(i - 1)**3*(i + 1)*(i + 18)/8
Factor -n**5 - 12*n**4 - 9*n**3 + 22*n**2.
-n**2*(n - 1)*(n + 2)*(n + 11)
Find o, given that -9*o**5/4 - 295*o**4/4 + 687*o**3/4 - 453*o**2/4 + 35*o/2 = 0.
-35, 0, 2/9, 1
Suppose n**3/5 - 117*n**2 + 1748*n/5 - 1164/5 = 0. What is n?
1, 2, 582
Let -3*j**2/7 - 1452*j/7 + 1455/7 = 0. Calculate j.
-485, 1
Factor -f**5 - 85*f**4 - 1848*f**3 - 1764*f**2.
-f**2*(f + 1)*(f + 42)**2
Factor h**3/2 - 2304*h**2 + 2654208*h.
h*(h - 2304)**2/2
Factor -3*k**4/4 + 3*k**3 + 45*k**2/4 - 27*k/2.
-3*k*(k - 6)*(k - 1)*(k + 3)/4
Solve 2*m**2/11 + 10*m/11 = 0.
-5, 0
Suppose -5*w**3/3 + 32*w**2/3 + 37*w/3 = 0. Calculate w.
-1, 0, 37/5
Factor 484*r**3 + 2860*r**2 - 263*r + 6.
(r + 6)*(22*r - 1)**2
Determine h so that 10*h**5/9 - 4*h**4 + 8*h**3/9 + 4*h**2 - 2*h = 0.
-1, 0, 3/5, 1, 3
Factor -4*z**2 - 192*z - 2304.
-4*(z + 24)**2
Factor -5*w**4 + 100*w**3 - 385*w**2 - 1210*w.
-5*w*(w - 11)**2*(w + 2)
What is o in -2*o**5/7 - 24*o**4/7 - 60*o**3/7 - 8*o**2 - 18*o/7 = 0?
-9, -1, 0
Factor -2*b**2 - 48*b - 126.
-2*(b + 3)*(b + 21)
Factor -l**4/2 + 13*l**3 - 71*l**2/2 + 23*l.
-l*(l - 23)*(l - 2)*(l - 1)/2
Let 16731*l**2 + 3108*l + 12 = 0. Calculate l.
-2/11, -2/507
Factor 5*j**3 + 85*j**2 + 150*j.
5*j*(j + 2)*(j + 15)
Let i**3/10 + 3*i**2/10 - 36*i/5 + 88/5 = 0. Calculate i.
-11, 4
Factor d**4/5 - 7*d**2/5 - 6*d/5.
d*(d - 3)*(d + 1)*(d + 2)/5
Solve -8*g**3 - 192*g**2 - 279*g/2 = 0 for g.
-93/4, -3/4, 0
Factor 10*g**3/13 + 84*g**2/13 - 58*g/13 - 36/13.
2*(g - 1)*(g + 9)*(5*g + 2)/13
Factor v**5 + 263*v**4 + 23221*v**3 + 701829*v**2 + 1135350*v - 5268024.
(v - 2)*(v + 4)*(v + 87)**3
Factor -5*c**5 + 145*c**4 + 1710*c**3.
-5*c**3*(c - 38)*(c + 9)
Factor -5*w**2 + 10*w + 15.
-5*(w - 3)*(w + 1)
What is j in j**5/9 - 4*j**4/9 - 4*j**3/3 = 0?
-2, 0, 6
Factor 2*s**5/19 - 6*s**3/19 - 4*s**2/19.
2*s**2*(s - 2)*(s + 1)**2/19
Factor 2*j**4/11 - 6*j**3/11 - 20*j**2/11.
2*j**2*(j - 5)*(j + 2)/11
Factor 2*d**2 + 32*d.
2*d*(d + 16)
Suppose 4*z**2 - 16*z - 48 = 0. What is z?
-2, 6
Factor v**4/4 + v**3/2 - 30*v**2 + 152*v - 224.
(v - 4)**3*(v + 14)/4
Factor -5*o**2 - 130*o - 125.
-5*(o + 1)*(o + 25)
Factor -73*z**2/6 - z/3.
-z*(73*z + 2)/6
Factor -2*x**4/13 + 4*x**3/13 + 6*x**2/13 - 8*x/13 - 8/13.
-2*(x - 2)**2*(x + 1)**2/13
Factor a**2 - 10*a - 11.
(a - 11)*(a + 1)
Determine z, given that 25*z**3/2 - 5560*z**2 + 4442*z - 888 = 0.
2/5, 444
Factor z**3 - 6*z**2 - 184*z - 576.
(z - 18)*(z + 4)*(z + 8)
Suppose -65*t**2/2 - t/6 = 0. What