
Find v such that 2*v**4/5 + 168*v**3/5 - 694*v**2/5 + 876*v/5 - 352/5 = 0.
-88, 1, 2
Find a such that -5*a**4 + 5*a**3 + 180*a**2 - 180*a = 0.
-6, 0, 1, 6
Solve 63*m**3 - 25050*m**2 + 15489*m - 2382 = 0 for m.
2/7, 1/3, 397
Solve 5*m**2 + 615*m - 3870 = 0.
-129, 6
Factor -139*s**2 + 3*s.
-s*(139*s - 3)
Find s such that -4*s**5/7 - 6*s**4/7 + 18*s**3/7 - 2*s**2/7 - 6*s/7 = 0.
-3, -1/2, 0, 1
Find w such that -94*w**5/9 - 128*w**4/3 - 136*w**3/3 - 32*w**2/9 = 0.
-2, -4/47, 0
Factor -2*a**3 + 4*a**2.
-2*a**2*(a - 2)
Factor 2*u**4/3 + 2*u**3/3 - 4*u**2.
2*u**2*(u - 2)*(u + 3)/3
Solve n**4/9 + 5*n**3/9 - 31*n**2/9 + 43*n/9 - 2 = 0 for n.
-9, 1, 2
Factor l**2 + 86*l + 1849.
(l + 43)**2
Factor 6*o**4 - 30*o**3 + 99*o**2/2 - 27*o.
3*o*(o - 2)*(2*o - 3)**2/2
Factor 2*s**3/11 + 144*s**2/11 + 3456*s/11 + 27648/11.
2*(s + 24)**3/11
Let -3*f**3/5 - 33*f**2/5 - 24*f/5 + 12 = 0. What is f?
-10, -2, 1
Factor 2*w**5 - 20*w**4 + 48*w**3 + 108*w**2 - 594*w + 648.
2*(w - 4)*(w - 3)**3*(w + 3)
Factor -2*o**2 + 1168*o - 170528.
-2*(o - 292)**2
Suppose 3*m**3 - 45*m**2 + 132*m + 180 = 0. Calculate m.
-1, 6, 10
Find y such that 9*y**2 + 371*y + 82 = 0.
-41, -2/9
Factor -2*j**2/7 - 8800*j/7 + 8802/7.
-2*(j - 1)*(j + 4401)/7
Factor 4*u**3 - 212*u**2 + 2464*u + 9408.
4*(u - 28)**2*(u + 3)
Find q such that 98*q**5/17 - 1624*q**4/17 - 82494*q**3/17 + 1602788*q**2/17 - 895528*q/17 + 126960/17 = 0.
-30, 2/7, 23
Let -3364*f**2/9 + 232*f/3 - 4 = 0. What is f?
3/29
Factor 3*a**4/5 + 330*a**3 - 3309*a**2/5 + 1656*a/5.
3*a*(a - 1)**2*(a + 552)/5
Let 291*p**2/4 + 159*p/2 + 27/4 = 0. Calculate p.
-1, -9/97
Suppose -4*i**2 + 12452*i - 12448 = 0. Calculate i.
1, 3112
Factor 49*b**2 - 1554*b + 12321.
(7*b - 111)**2
Factor -z**2/4 - 499*z/2 - 249001/4.
-(z + 499)**2/4
Let 128*k**4/9 + 884*k**3/9 + 1708*k**2/9 + 856*k/9 - 32/3 = 0. What is k?
-4, -2, -1, 3/32
Factor q**5 + 3*q**4 - 4*q**3.
q**3*(q - 1)*(q + 4)
Factor -p**2/12 - 4*p/3 + 259/4.
-(p - 21)*(p + 37)/12
Factor 2*s**3/3 + 376*s**2/3 + 17672*s/3.
2*s*(s + 94)**2/3
Let -2*h**5 - 332*h**4 - 14104*h**3 - 26896*h**2 = 0. Calculate h.
-82, -2, 0
Determine n so that -3*n**2/7 - 3072*n/7 + 3075/7 = 0.
-1025, 1
Let -3*x**5/7 - 201*x**4/7 - 3249*x**3/7 + 4497*x**2/7 + 17952*x/7 + 10404/7 = 0. What is x?
-34, -1, 3
Factor 2*x**2/7 - 94*x/7 - 96/7.
2*(x - 48)*(x + 1)/7
Solve 2*h**3 + 82*h**2 - 88*h - 168 = 0.
-42, -1, 2
Let -2*h**2/13 - 8*h/13 + 42/13 = 0. Calculate h.
-7, 3
Determine d, given that d**5/5 - 1797*d**4/5 + 1796*d**3/5 = 0.
0, 1, 1796
Factor -81*w**3 - 11061*w**2 - 38560*w - 34048.
-(w + 133)*(9*w + 16)**2
Factor 4*y**3/9 - 848*y**2/3 + 179776*y/3 - 38112512/9.
4*(y - 212)**3/9
Factor -2*b**3/3 + 34*b**2 - 66*b + 98/3.
-2*(b - 49)*(b - 1)**2/3
Factor -4*r**3/3 - 8*r**2 - 32*r/3.
-4*r*(r + 2)*(r + 4)/3
Find u, given that -228484*u**2/3 - 3824*u/3 - 16/3 = 0.
-2/239
Let -2*d**3/5 - 684*d**2/5 - 682*d/5 = 0. Calculate d.
-341, -1, 0
Determine s so that -s**2 - 464*s = 0.
-464, 0
Factor 16*g**4 - 148*g**3 + 496*g**2 - 708*g + 360.
4*(g - 3)**2*(g - 2)*(4*g - 5)
Factor 5*q**2 + 105*q - 2210.
5*(q - 13)*(q + 34)
Factor 3*b**3 + 60*b**2 + 288*b.
3*b*(b + 8)*(b + 12)
Factor -c**2 + 47*c.
-c*(c - 47)
Suppose 4*h**2 - 200*h + 196 = 0. What is h?
1, 49
Let -2*z**2/9 + 212*z/9 - 5618/9 = 0. What is z?
53
Factor 2*a**2 + 6428*a + 5164898.
2*(a + 1607)**2
Solve 5*k**3/2 - 25*k**2/2 + 5*k + 20 = 0 for k.
-1, 2, 4
Solve -224*t**5 - 2066*t**4 - 4478*t**3 - 864*t**2 + 72*t = 0 for t.
-6, -3, -2/7, 0, 1/16
Factor 2*j**5 - 72*j**4 - 312*j**3 - 320*j**2.
2*j**2*(j - 40)*(j + 2)**2
Solve -4*z**5 - 7*z**4/3 + 7*z**3/3 + 2*z**2/3 = 0 for z.
-1, -1/4, 0, 2/3
Factor 53*f**2 - 153*f - 18.
(f - 3)*(53*f + 6)
Determine x so that -3*x**4/4 - 57*x**3/4 - 75*x**2/2 - 24*x = 0.
-16, -2, -1, 0
Let 5*h**3 + 160*h**2 - 335*h + 170 = 0. Calculate h.
-34, 1
Suppose -n**2/6 - 73*n/3 - 5329/6 = 0. What is n?
-73
Suppose -25*c**3 - 70*c**2 + 115*c - 20 = 0. What is c?
-4, 1/5, 1
Determine z so that -65*z**4 - 75*z**3 + 510*z**2 + 860*z + 120 = 0.
-2, -2/13, 3
Factor -2*c**3/3 + 568*c**2 - 6784*c/3.
-2*c*(c - 848)*(c - 4)/3
Let g**3/2 + 13*g**2/2 - 29*g/2 + 15/2 = 0. Calculate g.
-15, 1
Factor l**2 - 14*l - 275.
(l - 25)*(l + 11)
Suppose 2*k**3 + 44*k**2 + 82*k + 40 = 0. What is k?
-20, -1
Determine d so that -d**4 - 65*d**3 - 845*d**2 + 65*d + 846 = 0.
-47, -18, -1, 1
Solve 6*j**3 - 91*j**2 + 8*j + 105 = 0.
-1, 7/6, 15
What is b in -b**3/2 + 66*b**2 - 738*b + 2160 = 0?
6, 120
Factor 5*t**2/2 + 115*t - 2100.
5*(t - 14)*(t + 60)/2
Factor -5*s**3 + 1020*s**2 - 69360*s + 1572160.
-5*(s - 68)**3
Let -2*v**5/3 - 16*v**4/3 - 32*v**3/3 = 0. What is v?
-4, 0
Determine q so that 3*q**2 - 519*q + 2520 = 0.
5, 168
Factor -j**5/4 - 3*j**4/4 + 3*j**3/2 + 13*j**2/2 + 27*j/4 + 9/4.
-(j - 3)*(j + 1)**3*(j + 3)/4
Factor 535*c**2/2 - 527*c/2 - 4.
(c - 1)*(535*c + 8)/2
Solve 735*k**5 - 21385*k**4 + 75310*k**3 - 660*k**2 - 20840*k - 4000 = 0 for k.
-2/7, 2/3, 4, 25
Find s such that -2*s**2/5 + 592*s/5 - 43808/5 = 0.
148
Factor 4*a**3/3 + 4*a**2/3 - 160*a/3 - 448/3.
4*(a - 7)*(a + 4)**2/3
What is v in v**5/6 - 4*v**3 - 31*v**2/3 - 19*v/2 - 3 = 0?
-3, -1, 6
Solve 3*k**5/2 - 18*k**4 - 24*k**3 + 57*k**2 + 45*k/2 - 39 = 0 for k.
-2, -1, 1, 13
What is d in -2*d**3/3 + 164*d**2/3 = 0?
0, 82
Solve -2*x**3/15 + 88*x**2/15 - 34*x/3 + 28/5 = 0 for x.
1, 42
Determine x, given that -16*x**4/9 - 100*x**3 - 5168*x**2/9 - 2812*x/3 - 200 = 0.
-50, -3, -1/4
Factor -2*h**3 - 1162*h**2 + 4672*h - 4680.
-2*(h - 2)**2*(h + 585)
What is c in -14*c**5 + 108*c**4 - 206*c**3 + 72*c**2 + 40*c = 0?
-2/7, 0, 1, 2, 5
Let -3*t**3 + 153*t**2/5 - 6*t = 0. What is t?
0, 1/5, 10
Suppose 2*i**3/7 - 2*i**2/7 - 88*i/7 - 192/7 = 0. What is i?
-4, -3, 8
Suppose 21*m**4/4 + 237*m**3/4 - 555*m**2/2 + 231*m + 90 = 0. What is m?
-15, -2/7, 2
Factor -2*g**3/11 - 26*g**2/11 + 28*g/11.
-2*g*(g - 1)*(g + 14)/11
Solve 209*f**2/5 - 12*f + 4/5 = 0.
2/19, 2/11
Solve -6*c**5/7 - 502*c**4/7 - 7596*c**3/7 + 121028*c**2/7 - 370830*c/7 + 110450/7 = 0.
-47, 1/3, 5
Solve 3*c**2/5 - 99*c/5 - 324/5 = 0 for c.
-3, 36
Find q such that 4*q**5/9 - 10*q**4/9 - 10*q**3/9 + 10*q**2/9 + 2*q/3 = 0.
-1, -1/2, 0, 1, 3
Find s, given that s**2/2 - 66*s - 133/2 = 0.
-1, 133
Factor -316*h**3 - 1872*h**2 - 2700*h + 216.
-4*(h + 3)**2*(79*h - 6)
What is p in -3*p**3/4 - 57*p**2/2 = 0?
-38, 0
Factor -4*v**3/3 - 20*v**2/3 - 28*v/3 - 4.
-4*(v + 1)**2*(v + 3)/3
Solve -u**2/3 + 8*u = 0.
0, 24
What is n in -3*n**3 - 54*n**2 - 96*n = 0?
-16, -2, 0
Find j, given that 2*j**5 + 22*j**4 + 78*j**3 + 74*j**2 - 80*j - 96 = 0.
-4, -3, -1, 1
Factor 6*w**5/11 + 258*w**4/11 + 2346*w**3/11 - 9522*w**2/11.
6*w**2*(w - 3)*(w + 23)**2/11
Determine t so that -54*t**4 + 255*t**3 - 293*t**2 + 42*t = 0.
0, 1/6, 14/9, 3
Factor 3*b**2/4 - 6*b + 45/4.
3*(b - 5)*(b - 3)/4
What is a in -5*a**4 + 170*a**3 - 695*a**2 - 870*a = 0?
-1, 0, 6, 29
Factor -8*y**3 + 66*y**2 - 112*y + 24.
-2*(y - 6)*(y - 2)*(4*y - 1)
Determine f so that -f**5/4 - f**4 + 39*f**3/4 - 29*f**2/2 - 7*f + 18 = 0.
-9, -1, 2
Find u, given that -6*u**5/7 - 110*u**4/7 - 694*u**3/7 - 1794*u**2/7 - 284*u - 112 = 0.
-7, -2, -4/3, -1
Find p, given that -3*p**3 - 36*p**2 + 543*p - 504 = 0.
-21, 1, 8
Determine x so that -3*x**4 - 69*x**3/2 - 117*x**2 - 165*x/2 + 75 = 0.
-5, -2, 1/2
Factor -2*p**2/9 + 98*p/9 - 188/9.
-2*(p - 47)*(p - 2)/9
Suppose -8*z**4 + 6*z**3 + 8*z**2 - 6*z = 0. What is z?
-1, 0, 3/4, 1
Suppose 30*z**4/7 - 626*z**3/7 + 516*z**2/7 + 80*z/7 = 0. What is z?
-2/15, 0, 1, 20
Find d, given that -d**3 - 493*d**2 - 61008*d - 60516 = 0.
-246, -1
Factor 2*s**3 - 2976*s**2 + 1476096*s - 244047872.
2*(s - 496)**3
Factor -2*m**2 + 116*m - 432.
-2*(m - 54)*(m - 4)
Factor m**4/7 - 16*m**3/7 + 64*m**2/7.
m**2*(m - 8)**2/7
Factor -g**3 + 8*g**2 + 259*g + 1078.
-(g - 22)*(g + 7)**2
Factor -2883*f**4 + 5022*f**3 - 1443*f**2 - 648*f - 48.
-3*(f - 1)**2*(31*f + 4)**2
Determine x, given that 22*x**3/3 - 568*x**2/3 + 3614*x/3 + 676/3 = 0.
-2/11, 13
Determine c so that c**4/3 - 4*c**3 + 10*c**2/3 + 4*c - 11/3 = 0.
-1, 1, 11
Find d such that 12*d**5 - 98*d**4 - 498*d**3 - 628*d**2 - 240*d = 0.
-2, -1, -5/6, 0, 12
Find p such that 4320*p**3 + 1080*p**2 + 90*p + 5/2 = 0.
-1/12
Suppose -616*z**2 - 1233*z/2 - 1/2 = 0. What is z?
-1, -1/1