- 8*x**3 - 4*x**2 - 2*x/3 = 0.
-1, -1/3, 0
Find g, given that 38*g**2 + 36*g - 2 = 0.
-1, 1/19
Factor 2*v**2/11 + 1116*v/11 + 155682/11.
2*(v + 279)**2/11
Suppose -2*p**2/13 + 42*p/13 + 144/13 = 0. What is p?
-3, 24
What is l in -l**5 + 81*l**4 - 79*l**3 - 81*l**2 + 80*l = 0?
-1, 0, 1, 80
Factor -l**2 - 10*l - 16.
-(l + 2)*(l + 8)
Suppose -r**2/5 - 33*r/5 + 34/5 = 0. What is r?
-34, 1
Factor -b**2/3 + 111*b + 1348/3.
-(b - 337)*(b + 4)/3
What is f in -5*f**5 + 30*f**4 - 40*f**3 - 30*f**2 + 45*f = 0?
-1, 0, 1, 3
Factor -15*v**3 + 85*v**2 - 90*v - 40.
-5*(v - 4)*(v - 2)*(3*v + 1)
Factor 3*g**4 + 51*g**3 + 228*g**2 + 180*g.
3*g*(g + 1)*(g + 6)*(g + 10)
Solve 2*x**4 - 112*x**3 + 1056*x**2 + 14336*x + 32768 = 0 for x.
-4, 32
Find n, given that 10*n**2 - 32*n + 6 = 0.
1/5, 3
Factor 32*h**3 - 11408*h**2 + 5698*h - 712.
2*(h - 356)*(4*h - 1)**2
Solve 3*u**3 - 3*u**2 - 48*u + 48 = 0.
-4, 1, 4
Determine i, given that 4*i**3/5 - 168*i**2/5 + 2352*i/5 - 10976/5 = 0.
14
Determine m so that -9*m**3/7 + 138*m**2/7 - 172*m/7 + 8 = 0.
2/3, 14
Factor 4*t**2 + 120*t + 324.
4*(t + 3)*(t + 27)
Solve 5*z**4/2 - 5*z**3/2 - 15*z**2 + 10*z + 20 = 0.
-2, -1, 2
Factor -2*v**2/11 - 816*v + 8978/11.
-2*(v - 1)*(v + 4489)/11
Factor -2*k**2/17 + 28*k/17 + 1470/17.
-2*(k - 35)*(k + 21)/17
Find i, given that -5*i**3/6 + 61*i**2/6 - 67*i/6 + 11/6 = 0.
1/5, 1, 11
Factor -3*d**2 + 1164*d - 112908.
-3*(d - 194)**2
Factor 2*q**3 + 36*q**2 + 210*q + 392.
2*(q + 4)*(q + 7)**2
What is g in 5*g**2 + 40*g - 45 = 0?
-9, 1
Factor -73770921*q**3/4 - 73805277*q**2/4 - 8590*q - 1.
-(q + 1)*(8589*q + 2)**2/4
Factor -7*c**3 - 39*c**2 - 45*c + 27.
-(c + 3)**2*(7*c - 3)
What is n in 2*n**3/13 + 14*n**2/13 = 0?
-7, 0
Determine l so that 2*l**2/13 - 626*l/13 = 0.
0, 313
Factor 2*y**2/9 + 68*y/9 + 128/9.
2*(y + 2)*(y + 32)/9
Suppose -4*d**3 + 1576*d**2 = 0. What is d?
0, 394
Let r**2 + 9*r - 36 = 0. Calculate r.
-12, 3
Let 2*m**5/5 - 4*m**4 - 8*m**3/5 + 308*m**2/5 + 294*m/5 = 0. Calculate m.
-3, -1, 0, 7
Suppose 3*j**3 - 169*j**2 + 160*j + 332 = 0. Calculate j.
-1, 2, 166/3
Solve 15*d**5 - 39*d**4 - 54*d**3 + 102*d**2 + 39*d - 63 = 0 for d.
-7/5, -1, 1, 3
Suppose -36*v**3 + 272*v**2 - 400*v = 0. Calculate v.
0, 2, 50/9
Determine u so that 2*u**3 - 3858*u**2 + 2480694*u - 531695414 = 0.
643
Factor -j**5 + 6*j**4 - 8*j**3 - 16*j**2 + 48*j - 32.
-(j - 2)**4*(j + 2)
Factor 3*b**3 - 48*b.
3*b*(b - 4)*(b + 4)
Factor -2*j**3 - 132*j**2 - 2808*j - 19440.
-2*(j + 18)**2*(j + 30)
Find n, given that -3*n**3 + 132*n**2 + 273*n + 138 = 0.
-1, 46
Factor -35*c**2 - 1135*c - 480.
-5*(c + 32)*(7*c + 3)
Factor -w**3/2 + 91*w**2/6 + 79*w/3 + 32/3.
-(w - 32)*(w + 1)*(3*w + 2)/6
Factor -2*c**4 - 90*c**3 - 926*c**2 + 2898*c + 21160.
-2*(c - 5)*(c + 4)*(c + 23)**2
Solve 6*g**5/7 + 66*g**4/7 + 162*g**3/7 + 150*g**2/7 + 48*g/7 = 0 for g.
-8, -1, 0
What is r in -2*r**3/9 + 254*r**2/9 - 7936*r/9 - 8192/9 = 0?
-1, 64
Factor 3*h**3 - 393*h**2 - 402*h + 792.
3*(h - 132)*(h - 1)*(h + 2)
Let -21*h**5/5 + 162*h**4/5 - 393*h**3/5 + 336*h**2/5 - 36*h/5 - 48/5 = 0. Calculate h.
-2/7, 1, 2, 4
Let -7*w**3 - 2424*w**2 - 3107*w - 690 = 0. Calculate w.
-345, -1, -2/7
Find b, given that 2*b**2/7 + 52*b/7 = 0.
-26, 0
Factor 5*m**3 + 305*m**2 - 310*m.
5*m*(m - 1)*(m + 62)
Factor 3*k**2/5 + 216*k/5 + 213/5.
3*(k + 1)*(k + 71)/5
Let 5*q**3 - 20*q**2 + 20*q = 0. What is q?
0, 2
Factor -3*h**2/5 - 1536*h/5 + 1539/5.
-3*(h - 1)*(h + 513)/5
Factor 104*m**2/7 - 94*m/7 - 10/7.
2*(m - 1)*(52*m + 5)/7
Factor -3*h**3 + 45*h**2 - 177*h + 135.
-3*(h - 9)*(h - 5)*(h - 1)
Factor -3*c**4 + 51*c**3 - 42*c**2 - 96*c.
-3*c*(c - 16)*(c - 2)*(c + 1)
Factor 4*j**4 + 56*j**3 + 192*j**2.
4*j**2*(j + 6)*(j + 8)
Find p, given that 3*p**2/4 + 201*p/4 = 0.
-67, 0
What is s in s**2/3 + 286*s + 61347 = 0?
-429
Factor 2*y**3/3 + 32*y**2/3 + 10*y.
2*y*(y + 1)*(y + 15)/3
Factor -20*i**3/3 - 1124*i**2 - 672*i.
-4*i*(i + 168)*(5*i + 3)/3
Let 8*o**5/5 + 86*o**4/3 + 2482*o**3/15 + 1486*o**2/5 - 602*o/15 - 392/15 = 0. Calculate o.
-7, -4, -1/4, 1/3
Let b**5/6 - 5*b**4/6 + 3*b**3/2 - 7*b**2/6 + b/3 = 0. What is b?
0, 1, 2
Factor -10*n**3 - 46*n**2 + 260*n - 96.
-2*(n - 3)*(n + 8)*(5*n - 2)
Determine r so that r**4/7 + 5*r**3 + 282*r**2/7 - 540*r/7 - 1944/7 = 0.
-18, -2, 3
Let -5*i**3 - 1555*i**2 - 121675*i - 120125 = 0. Calculate i.
-155, -1
Factor -j**4 - 3*j**3 - j**2 + 3*j + 2.
-(j - 1)*(j + 1)**2*(j + 2)
Factor -6*d**3/7 + 144*d**2/7 - 1152*d/7 + 3072/7.
-6*(d - 8)**3/7
Let -4*b**2 - 3288*b - 675684 = 0. Calculate b.
-411
Factor 2*j**3 - 220*j**2 + 646*j - 428.
2*(j - 107)*(j - 2)*(j - 1)
Factor -5*j**3 - 40*j**2 + 640*j.
-5*j*(j - 8)*(j + 16)
Suppose -2*o**3/9 + 2*o**2/3 + 4*o = 0. What is o?
-3, 0, 6
Factor -128*v**4/9 + 2080*v**3/9 + 1000*v**2 + 11750*v/9 + 5000/9.
-2*(v - 20)*(4*v + 5)**3/9
Factor -2*n**3/5 - 56*n**2/5.
-2*n**2*(n + 28)/5
Factor b**3 - 10*b**2.
b**2*(b - 10)
Determine c so that c**2/6 - 319*c/6 + 313 = 0.
6, 313
Factor 4*d**4 - 16*d**3 + 20*d**2 - 8*d.
4*d*(d - 2)*(d - 1)**2
Factor -h**4/3 + 110*h**3/3 - 971*h**2 - 6160*h/3 - 3136/3.
-(h - 56)**2*(h + 1)**2/3
Suppose -3*x**4 - 15*x**3 + 168*x**2 + 180*x = 0. Calculate x.
-10, -1, 0, 6
Factor 3*z**4 + 54*z**3 + 99*z**2 - 1140*z + 1404.
3*(z - 2)**2*(z + 9)*(z + 13)
Factor -s**2/3 + 3*s - 6.
-(s - 6)*(s - 3)/3
Factor 2*u**2/9 - 44*u/9 + 170/9.
2*(u - 17)*(u - 5)/9
Factor -3*g**2 - 276*g + 279.
-3*(g - 1)*(g + 93)
Factor y**2/2 + y/2 - 1.
(y - 1)*(y + 2)/2
Determine q, given that -154*q**4/3 - 2888*q**3/15 - 1534*q**2/15 + 608*q/15 + 8/5 = 0.
-3, -1, -2/55, 2/7
Suppose -2*j**3/7 + 16*j**2/7 - 38*j/7 + 24/7 = 0. Calculate j.
1, 3, 4
Determine x, given that 2*x**5/13 + 58*x**4/13 - 186*x**3/13 + 190*x**2/13 - 64*x/13 = 0.
-32, 0, 1
Determine l, given that 2*l**2/17 + 62*l/17 + 116/17 = 0.
-29, -2
Factor 5*y**2 - 340*y + 3575.
5*(y - 55)*(y - 13)
Let 3*s**4 - 72*s**3 + 57*s**2 + 288*s - 276 = 0. What is s?
-2, 1, 2, 23
Find z such that -3*z**3 + 24*z**2 + 159*z - 180 = 0.
-5, 1, 12
Determine c so that 2*c**5/3 - 2*c**3 - 4*c**2/3 = 0.
-1, 0, 2
Factor i**3 - 2*i**2 - 160*i + 896.
(i - 8)**2*(i + 14)
Determine i, given that 2*i**5 + 36*i**4 + 170*i**3 + 336*i**2 + 296*i + 96 = 0.
-12, -2, -1
Find z such that -18*z**4 + 26*z**3 + 10*z**2 - 26*z + 8 = 0.
-1, 4/9, 1
Determine o, given that o**5/4 - 57*o**4/2 + 812*o**3 + 57*o**2/2 - 3249*o/4 = 0.
-1, 0, 1, 57
Factor -4*v**3 - 1016*v**2 - 2020*v - 1008.
-4*(v + 1)**2*(v + 252)
Factor 15*n**3 - 530*n**2/3 + 500*n + 120.
5*(n - 6)**2*(9*n + 2)/3
Let -s**3/8 + 489*s**2/8 - 79707*s/8 + 4330747/8 = 0. Calculate s.
163
Find h, given that 14*h**3/3 + 59*h**2/6 + 17*h/3 + 1/2 = 0.
-1, -3/28
Let 2*g**4 + 1232*g**3 + 188490*g**2 - 381924*g = 0. What is g?
-309, 0, 2
What is u in 3*u**2 - 45*u - 102 = 0?
-2, 17
Factor 4*z**3/7 + 576*z**2/7 + 27648*z/7 + 442368/7.
4*(z + 48)**3/7
Factor 3*z**5 + 12*z**4 + 15*z**3 + 6*z**2.
3*z**2*(z + 1)**2*(z + 2)
Factor 2*l**2/7 - 4908*l/7 + 4906/7.
2*(l - 2453)*(l - 1)/7
What is z in -z**5/5 + 274*z**4/5 - 18766*z**3/5 - 824*z**2/5 + 11371*z - 37538/5 = 0?
-2, 1, 137
Determine d, given that 2*d**4 - 40*d**3 - 194*d**2 + 40*d + 192 = 0.
-4, -1, 1, 24
What is k in -3*k**5/5 - 6*k**4/5 + 3*k**3 + 18*k**2/5 = 0?
-3, -1, 0, 2
Factor s**3/9 - 58*s**2/9 + 112*s/9.
s*(s - 56)*(s - 2)/9
Let -8*d**4 + 50*d**3 + 828*d**2 + 574*d - 196 = 0. What is d?
-7, -1, 1/4, 14
Factor -2*j**4/17 + 66*j**3/17 - 64*j**2/17.
-2*j**2*(j - 32)*(j - 1)/17
Let -3*b**5/4 + 27*b**4/2 - 339*b**3/4 + 207*b**2 - 135*b = 0. Calculate b.
0, 1, 5, 6
What is c in 2*c**3/7 + 58*c**2/7 + 480*c/7 + 1224/7 = 0?
-17, -6
Suppose 40*y**3/7 + 6*y**2 + 2*y/7 = 0. What is y?
-1, -1/20, 0
What is q in -399*q**5/5 - 401*q**4/5 + 2791*q**3/5 + 413*q**2/5 - 2392*q/5 - 12/5 = 0?
-3, -1, -2/399, 1, 2
Solve 2*i**5 - 138*i**4 - 428*i**3 - 288*i**2 = 0 for i.
-2, -1, 0, 72
Determine u so that -4*u**5 + 48*u**4 - 192*u**3 + 320*u**2 - 192*u = 0.
0, 2, 6
What is x in -x**3 - 25*x**2 - 86*x + 280 = 0?
-20, -7, 2
Factor r**5 - 7*r**3 + 2*r**2 + 12*r - 8.
(r - 2)*(r - 1)**2*(r + 2)**2
What is c in -3*c**2/5 - 13068*c/5 - 14231052/5 = 0?
-2178
Factor -3*s**2 - 1527*s - 1524.
-3*(s + 1)*(s + 508)
Determine q, given that 2*q**4/13 - 16*q**3/13 + 46*q**2/13 - 56*q/13 + 24/13 = 0.
1, 2, 3
Determine c, g