at -3*w**2/4 + 15*w/2 - 18 = 0.
4, 6
What is z in -z**2 + 6092*z - 9278116 = 0?
3046
Factor -2*q**3 - 50*q**2 + 106*q - 54.
-2*(q - 1)**2*(q + 27)
Let 5*p**5/4 + 137*p**4/4 + 179*p**3/4 - 85*p**2/4 - 46*p - 13 = 0. Calculate p.
-26, -1, -2/5, 1
Factor 4*j**5/5 + 32*j**4/5 + 64*j**3/5 - 72*j**2/5 - 324*j/5 - 216/5.
4*(j - 2)*(j + 1)*(j + 3)**3/5
Factor -2*z**2 + 808*z - 81608.
-2*(z - 202)**2
Factor 5*d**3 + 10*d**2 - 105*d + 90.
5*(d - 3)*(d - 1)*(d + 6)
Factor -2*a**2/3 - 52*a/3 - 110.
-2*(a + 11)*(a + 15)/3
Find w, given that 4*w**5 - 4*w**4/3 - 20*w**3 + 20*w**2/3 + 16*w - 16/3 = 0.
-2, -1, 1/3, 1, 2
Let 4*b**5 + 1072*b**4 + 1032*b**3 - 9568*b**2 + 11732*b - 4272 = 0. Calculate b.
-267, -4, 1
Solve 2*x**3/11 + 1466*x**2/11 + 266*x + 1462/11 = 0.
-731, -1
Factor -3*i**4 - 3*i**3 + 156*i**2 - 492*i + 432.
-3*(i - 4)*(i - 2)**2*(i + 9)
Factor -9025*f**4/4 - 4655*f**3 - 5087*f**2/2 - 147*f - 9/4.
-(f + 1)**2*(95*f + 3)**2/4
Factor -5*o**5 + 120*o**4 - 590*o**3 - 1560*o**2 - 845*o.
-5*o*(o - 13)**2*(o + 1)**2
Find i, given that -2*i**2/7 + 214*i/7 - 200 = 0.
7, 100
Suppose -9*j**5/5 - 12*j**4 + 387*j**3/5 + 822*j**2/5 - 108*j - 120 = 0. What is j?
-10, -2, -2/3, 1, 5
Determine d so that 3*d**3 - 9*d**2 - 48*d - 36 = 0.
-2, -1, 6
Suppose -5*x**2 + 5*x + 100 = 0. What is x?
-4, 5
Determine i, given that -5*i**3 - 140*i**2 + 945*i + 3960 = 0.
-33, -3, 8
Let -2*b**3/13 + 138*b**2/13 - 3150*b/13 + 23750/13 = 0. Calculate b.
19, 25
Factor -2*u**3/17 + 26*u**2/17 + 60*u/17.
-2*u*(u - 15)*(u + 2)/17
What is j in j**5/6 - 4*j**4 + 83*j**3/3 - 44*j**2 + 121*j/6 = 0?
0, 1, 11
Let 5*s**3/4 - 195*s**2/2 + 2205*s/4 - 810 = 0. What is s?
3, 72
Let 2*y**2 + 356*y = 0. Calculate y.
-178, 0
Factor -15*h**2 - 5495*h - 1830.
-5*(h + 366)*(3*h + 1)
Determine s, given that 13467*s**2/4 + 2412*s + 432 = 0.
-24/67
Find x such that -x**3/4 + 27*x**2/4 + 129*x/4 - 155/4 = 0.
-5, 1, 31
Let 6*h**3/7 + 12924*h**2/7 + 992376*h - 1992144 = 0. Calculate h.
-1078, 2
Factor -k**3/5 - 8*k**2 - 113*k/5 - 74/5.
-(k + 1)*(k + 2)*(k + 37)/5
Factor -5*b**2 - 1980*b - 1975.
-5*(b + 1)*(b + 395)
Solve 9*r**4/2 + 119*r**3/2 + 202*r**2 + 42*r = 0 for r.
-7, -6, -2/9, 0
Factor 2*l**3/9 - 2*l**2/3 + 8/9.
2*(l - 2)**2*(l + 1)/9
Find i, given that -4*i**2 + 90*i + 46 = 0.
-1/2, 23
Factor -2*y**5/3 + 10*y**4/3 - 20*y**3/3 + 20*y**2/3 - 10*y/3 + 2/3.
-2*(y - 1)**5/3
Factor 48*t**3 - 1080*t**2 + 519*t + 198.
3*(t - 22)*(4*t - 3)*(4*t + 1)
Determine m, given that -m**2/2 + 273*m - 74529/2 = 0.
273
Factor -5*y**5 - 45*y**4 - 150*y**3 - 230*y**2 - 165*y - 45.
-5*(y + 1)**3*(y + 3)**2
Factor 2*u**2/9 - 808*u/9 - 1624/9.
2*(u - 406)*(u + 2)/9
Factor -b**3/4 + 7*b**2 - 125*b/4 - 77/2.
-(b - 22)*(b - 7)*(b + 1)/4
Factor -4*u**4 - 28*u**3 + 160*u**2 + 400*u.
-4*u*(u - 5)*(u + 2)*(u + 10)
Let -5*s**4/2 + 445*s**3/2 - 215*s**2 - 440*s = 0. What is s?
-1, 0, 2, 88
Suppose -8*i**5 + 182*i**4 - 602*i**3 + 614*i**2 - 110*i - 76 = 0. Calculate i.
-1/4, 1, 2, 19
Factor 20*j**3 + 548*j**2 + 1656*j + 576.
4*(j + 3)*(j + 24)*(5*j + 2)
Let -18576*j**4/5 + 27768*j**3/5 - 2061*j**2 + 1107*j/5 + 6/5 = 0. What is j?
-2/387, 1/4, 1
Factor g**2/5 - 112*g + 15680.
(g - 280)**2/5
Find x such that 2*x**3/3 - 162*x**2 + 9760*x + 29768/3 = 0.
-1, 122
Factor 4*i**2/3 - 7*i/3 - 12.
(i - 4)*(4*i + 9)/3
Find t such that t**4/3 + t**3/3 - 11*t**2/3 - 3*t + 6 = 0.
-3, -2, 1, 3
Determine c so that -c**2/4 + 41*c/4 + 45 = 0.
-4, 45
Factor -16*r**3 - 676*r**2 - 796*r + 984.
-4*(r + 2)*(r + 41)*(4*r - 3)
Find h, given that 21*h**4/8 + 213*h**3/4 + 1359*h**2/8 - 663*h/4 - 60 = 0.
-16, -5, -2/7, 1
Let -k**4 + 22*k**2 + 24*k - 45 = 0. What is k?
-3, 1, 5
Factor -c**2/5 + 12*c/5 + 28/5.
-(c - 14)*(c + 2)/5
Factor -5*s**3 + 40*s**2 - 95*s + 60.
-5*(s - 4)*(s - 3)*(s - 1)
Factor 4*c**5 - 12*c**4 - 88*c**3 + 360*c**2 - 108*c - 540.
4*(c - 3)**3*(c + 1)*(c + 5)
Suppose 4*l**5 - 1312*l**4 + 143856*l**3 - 5314840*l**2 + 4324684*l + 31080696 = 0. What is l?
-2, 3, 109
Suppose 2*f**2/15 - 64*f/3 + 616/5 = 0. Calculate f.
6, 154
Factor 2*j**3/15 + 14*j**2/15 - 14*j/5 - 18/5.
2*(j - 3)*(j + 1)*(j + 9)/15
What is h in 11*h**4/5 + 27*h**3 + 432*h**2/5 + 108*h/5 = 0?
-6, -3/11, 0
Let -2*b**2/15 + 10*b/3 - 20 = 0. What is b?
10, 15
Suppose 6*f**5 + 1544*f**4/3 - 362*f**3/3 - 1544*f**2/3 + 344*f/3 = 0. What is f?
-86, -1, 0, 2/9, 1
Let o**5/2 - 37*o**4/2 + 197*o**3 - 485*o**2 + 901*o/2 - 289/2 = 0. Calculate o.
1, 17
Factor -i**3 + 11*i**2 - 8*i - 20.
-(i - 10)*(i - 2)*(i + 1)
Factor -a**3/4 + 25*a**2/4 - 36*a.
-a*(a - 16)*(a - 9)/4
What is s in -s**5/2 + 4*s**4 - 10*s**3 + 5*s**2 + 21*s/2 - 9 = 0?
-1, 1, 2, 3
Factor n**5/5 + 3*n**4/5 - 3*n**3/5 - 7*n**2/5 + 6*n/5.
n*(n - 1)**2*(n + 2)*(n + 3)/5
Factor -2*g**2 + 46*g.
-2*g*(g - 23)
Find d, given that 2*d**5/5 + 6*d**4/5 - 22*d**3/5 - 6*d**2/5 + 4*d = 0.
-5, -1, 0, 1, 2
Factor -2*j**4/3 + 8*j**3/9 + 2*j**2/9 - 4*j/9.
-2*j*(j - 1)**2*(3*j + 2)/9
Factor b**3/4 - 29*b**2/2 + 1105*b/4 - 1734.
(b - 24)*(b - 17)**2/4
Solve 3*u**4 - 24*u**3 - 729*u**2/4 - 651*u/4 - 39 = 0 for u.
-4, -1/2, 13
Solve -u**3/6 + 19*u**2/6 - 52*u/3 + 88/3 = 0.
4, 11
Find n such that -4*n**3 + 12*n**2 + 4*n - 12 = 0.
-1, 1, 3
Determine t, given that t**4/9 + 29*t**3/9 - 34*t**2/9 - 116*t/9 + 40/3 = 0.
-30, -2, 1, 2
Let 2*p**3 - 672*p**2 + 57114*p - 111556 = 0. Calculate p.
2, 167
Find o such that 4*o**4 + 4*o**3/3 - 80*o**2/3 + 16*o = 0.
-3, 0, 2/3, 2
Factor 6*x**2 + 4*x - 16.
2*(x + 2)*(3*x - 4)
Suppose v**2/3 - 7*v/3 + 4 = 0. Calculate v.
3, 4
Factor -2*g**4/9 - 22*g**3/9 + 50*g**2/9 - 26*g/9.
-2*g*(g - 1)**2*(g + 13)/9
Factor 24334*y**5 - 55016*y**4 + 37582*y**3 - 7468*y**2 + 584*y - 16.
2*(y - 1)**2*(23*y - 2)**3
Determine u so that 2*u**3 - 40*u**2 + 162*u - 180 = 0.
2, 3, 15
Determine g so that 5*g**3 - 890*g**2 = 0.
0, 178
Factor 2*n**3/3 + 74*n**2/3 - 100*n/3 - 304.
2*(n - 4)*(n + 3)*(n + 38)/3
Solve 2*q**2/7 - 12*q/7 - 32/7 = 0 for q.
-2, 8
Factor -d**4 - d**3 + 5*d**2 - 3*d.
-d*(d - 1)**2*(d + 3)
Factor -4*q**3 + 2184*q**2 - 8688*q + 8672.
-4*(q - 542)*(q - 2)**2
Solve -d**4 - 10*d**3 + 39*d**2 = 0 for d.
-13, 0, 3
Let -2*h**2/7 + 92*h/7 + 94/7 = 0. Calculate h.
-1, 47
Find l such that 2*l**2 - 28*l + 80 = 0.
4, 10
Factor -r**2/3 - 23*r/3 - 14.
-(r + 2)*(r + 21)/3
Solve -2844*c**3 - 1680*c**2 - 172*c + 24 = 0 for c.
-1/3, 6/79
What is h in -2*h**2/11 - 3196*h/11 - 1276802/11 = 0?
-799
Let -5*r**4 + 20*r**3 - 15*r**2 = 0. What is r?
0, 1, 3
Factor 5*x**2 + 575*x + 570.
5*(x + 1)*(x + 114)
Determine r so that 8820*r**5 - 49035*r**4 - 84550*r**3 - 30175*r**2 - 3620*r - 140 = 0.
-1, -1/4, -2/21, 7
Determine f, given that f**2 - 57*f - 180 = 0.
-3, 60
Solve 4*d**2 + 11737*d + 2934 = 0.
-2934, -1/4
Solve -7*b**5 + 2*b**4 + 14*b**3 - 4*b**2 - 7*b + 2 = 0 for b.
-1, 2/7, 1
Solve 21*c**3 + 288*c**2 + 189*c - 78 = 0 for c.
-13, -1, 2/7
Factor k**4/2 + 18*k**3 + 35*k**2/2.
k**2*(k + 1)*(k + 35)/2
Let a**3/4 + 23*a**2/4 - a/4 - 23/4 = 0. Calculate a.
-23, -1, 1
Factor w**3/6 - 2*w**2 - 1303*w/6 - 215.
(w - 43)*(w + 1)*(w + 30)/6
Let -332750*b**4/7 - 1349150*b**3/7 - 72930*b**2/7 - 1322*b/7 - 8/7 = 0. What is b?
-4, -1/55
Factor -9*v**4 + 33*v**3 - 45*v**2 + 27*v - 6.
-3*(v - 1)**3*(3*v - 2)
Factor -2*z**2/7 - 30*z/7 + 32/7.
-2*(z - 1)*(z + 16)/7
Solve 4*i**5 + 96*i**4 + 332*i**3 + 224*i**2 - 336*i - 320 = 0 for i.
-20, -2, -1, 1
Factor c**2 - 14*c - 15.
(c - 15)*(c + 1)
Suppose 5*r**2 + 535*r - 10540 = 0. Calculate r.
-124, 17
Factor -14*u**3/13 + 206*u**2/13 + 60*u/13.
-2*u*(u - 15)*(7*u + 2)/13
Suppose -5*m**4 + 30*m**3 + 25*m**2 - 210*m - 200 = 0. Calculate m.
-2, -1, 4, 5
Find x such that -10*x**4 - 34*x**3 - 162*x**2/5 - 46*x/5 - 4/5 = 0.
-2, -1, -1/5
Factor -5*s**4 - 17*s**3 - 11*s**2/5 + 121*s/5.
-s*(s - 1)*(5*s + 11)**2/5
Factor 2*j**3/17 - 30*j**2/17 - 8*j/17 + 120/17.
2*(j - 15)*(j - 2)*(j + 2)/17
Suppose -20*d**2 + 74*d + 94 = 0. Calculate d.
-1, 47/10
Solve 4*i**4 - 3696*i**3 + 850072*i**2 + 1711248*i + 857476 = 0.
-1, 463
Factor 4*g**3 - 20*g**2 + 16*g.
4*g*(g - 4)*(g - 1)
Suppose -6*p**2 + 170*p - 56 = 0. Calculate p.
1/3, 28
Find k, given that 2*k**2/9 - 16*k/3 + 88/9 = 0.
2, 22
Find b, given that -2*b**5/3 - 4*b**4 + 70*b**3/3 - 32*b**2 + 40*b/3 = 0.
-10, 0, 1, 2
Factor 2*y**3/13 - 62*y**2/13 + 60*y/13.
2*y*(y - 30)*