16)/3
Factor 2*i**5 - 236*i**4 - 964*i**3 - 1456*i**2 - 974*i - 244.
2*(i - 122)*(i + 1)**4
Factor b**4/2 + 7*b**3 - 515*b**2/2 - 534*b - 270.
(b - 18)*(b + 1)**2*(b + 30)/2
Find w such that 4*w**5 + 788*w**4 - 1588*w**3 + 796*w**2 = 0.
-199, 0, 1
Factor -5*s**2/6 - 2690*s - 2170830.
-5*(s + 1614)**2/6
Factor u**4/3 - 166*u**3 + 61501*u**2/3 + 41500*u + 62500/3.
(u - 250)**2*(u + 1)**2/3
Factor 2*l**3/7 - 12*l**2/7 + 18*l/7 - 8/7.
2*(l - 4)*(l - 1)**2/7
Factor 7*q**4/8 - 5*q**3/2 - 37*q**2/8 + 7*q/4 + 3.
(q - 4)*(q + 1)**2*(7*q - 6)/8
Suppose -3*h**2/5 + 1941*h/5 - 1938/5 = 0. Calculate h.
1, 646
Determine r, given that 4*r**5 - 252*r**4 - 524*r**3 + 252*r**2 + 520*r = 0.
-2, -1, 0, 1, 65
Factor 3*y**2 - 228*y + 4257.
3*(y - 43)*(y - 33)
Suppose -3*b**2 - 39*b - 90 = 0. What is b?
-10, -3
Factor -p**3/3 + 13*p/3 + 4.
-(p - 4)*(p + 1)*(p + 3)/3
Solve 14*h**4 + 23*h**3 - 11*h**2 - 23*h - 3 = 0 for h.
-3/2, -1, -1/7, 1
Factor 20*o**3 + 72*o**2 - 32*o.
4*o*(o + 4)*(5*o - 2)
Find m, given that 2*m**4 - 6838*m**3/5 + 1558152*m**2/5 - 118211616*m/5 - 23704704/5 = 0.
-1/5, 228
Factor -6*g**2 - 3255*g + 1629.
-3*(g + 543)*(2*g - 1)
Factor a**5 - 7*a**4 + 15*a**3 - 9*a**2.
a**2*(a - 3)**2*(a - 1)
Factor 3*d**3 - 18*d**2 + 24*d.
3*d*(d - 4)*(d - 2)
Let -n**4/5 - 11*n**3/5 - 2*n**2 = 0. What is n?
-10, -1, 0
Factor 2*f**4/3 + 50*f**3 - 788*f**2/3 + 320*f.
2*f*(f - 3)*(f - 2)*(f + 80)/3
Factor d**2 + 11*d - 126.
(d - 7)*(d + 18)
Factor -2*g**2/11 - 60*g/11 - 450/11.
-2*(g + 15)**2/11
What is w in w**4/5 + 7*w**3/5 + 12*w**2/5 - 4*w/5 - 16/5 = 0?
-4, -2, 1
Factor -s**5 - 8*s**4 + 33*s**3.
-s**3*(s - 3)*(s + 11)
Factor -2*c**3 + 32*c**2 + 70*c + 36.
-2*(c - 18)*(c + 1)**2
Suppose -8*z**5/3 - 34*z**4/3 + 8*z**3 + 136*z**2/3 + 32*z/3 = 0. Calculate z.
-4, -2, -1/4, 0, 2
Factor 5*s**3 - 60*s**2 + 55*s.
5*s*(s - 11)*(s - 1)
Factor 5*i**5 + 120*i**4 + 920*i**3 + 2400*i**2 + 2000*i.
5*i*(i + 2)**2*(i + 10)**2
Factor 2*q**3 + 706*q**2 - 712*q - 1416.
2*(q - 2)*(q + 1)*(q + 354)
Let -s**5 + 81*s**4 - 1427*s**3 - 8561*s**2 - 14448*s - 7396 = 0. What is s?
-2, -1, 43
What is c in -2*c**4 - 25*c**3/3 - 7*c**2 + c/3 + 1 = 0?
-3, -1, -1/2, 1/3
Factor -u**5 - 70*u**4 - 1225*u**3.
-u**3*(u + 35)**2
Factor -4*s**3/7 + 132*s**2/7 - 36*s + 124/7.
-4*(s - 31)*(s - 1)**2/7
Factor h**2 - 722*h/3 - 241/3.
(h - 241)*(3*h + 1)/3
Determine q, given that -5*q**5 - 110*q**4 - 90*q**3 + 320*q**2 + 95*q - 210 = 0.
-21, -2, -1, 1
Factor 5*n**4 - 90*n**3 + 180*n**2 + 2090*n + 1815.
5*(n - 11)**2*(n + 1)*(n + 3)
Solve 2*k**4 + 2*k**3 - 26*k**2 - 50*k - 24 = 0.
-3, -1, 4
What is l in l**2/3 + 7*l/3 - 10 = 0?
-10, 3
Determine r so that 2*r**3 + 26*r**2 + 24*r = 0.
-12, -1, 0
Find b, given that -b**2/2 - 11*b/2 = 0.
-11, 0
Factor 2*j**3/11 - 32*j**2/11 + 142*j/11 - 112/11.
2*(j - 8)*(j - 7)*(j - 1)/11
Determine o, given that 27*o**5 - 87*o**4 + 18*o**3 = 0.
0, 2/9, 3
Factor 2*a**5 - 32*a**4 + 156*a**3 - 224*a**2 + 98*a.
2*a*(a - 7)**2*(a - 1)**2
Factor 3*a**4/5 - 84*a**3 + 4410*a**2 - 102900*a + 900375.
3*(a - 35)**4/5
Factor -2*q**4 - 178*q**3 + 934*q**2 - 582*q - 1692.
-2*(q - 3)**2*(q + 1)*(q + 94)
Determine o, given that 4*o**5/3 + 184*o**4/3 + 2432*o**3/3 + 6872*o**2/3 - 812*o - 2352 = 0.
-21, -4, -1, 1
Solve 2*f**2 + 8*f - 10 = 0.
-5, 1
Factor 2*y**2/23 + 3242*y/23.
2*y*(y + 1621)/23
Factor -5*t**4 + 30*t**3 - 25*t**2.
-5*t**2*(t - 5)*(t - 1)
Suppose -i**5 + 89*i**4 - 2023*i**3 + 1847*i**2 + 2024*i - 1936 = 0. Calculate i.
-1, 1, 44
Find i such that 4*i**5 + 156*i**4 + 1260*i**3 - 5292*i**2 = 0.
-21, 0, 3
Let -z**2/2 - 223*z/2 - 651 = 0. What is z?
-217, -6
Let -3*h**4 - 30*h**3 + 81*h**2 + 108*h = 0. Calculate h.
-12, -1, 0, 3
Factor y**2/3 - 124*y + 11532.
(y - 186)**2/3
Find k, given that k**4 + 23*k**3/2 + 39*k**2 + 55*k/2 - 25 = 0.
-5, -2, 1/2
Find g such that -3*g**5/2 - 717*g**4/2 - 28431*g**3 - 737040*g**2 + 940800*g + 4608000 = 0.
-80, -2, 3
Suppose 3*j**5/2 + 5*j**4 - 161*j**3/6 - 41*j**2/3 + 22*j + 12 = 0. Calculate j.
-6, -2/3, 1, 3
Factor 5*l**3 + 380*l**2 + 365*l - 750.
5*(l - 1)*(l + 2)*(l + 75)
Find z such that -45*z**3 - 1450*z**2 - 320*z = 0.
-32, -2/9, 0
Factor 5*w**3 - 1460*w**2 - 1465*w.
5*w*(w - 293)*(w + 1)
Solve r**2 - 4660*r + 4659 = 0 for r.
1, 4659
Factor 3*z**5/8 + 39*z**4/8 + 63*z**3/4 + 87*z**2/4 + 111*z/8 + 27/8.
3*(z + 1)**4*(z + 9)/8
Suppose 4*i**5 - 26*i**4 + 22*i**3 + 46*i**2 - 26*i - 20 = 0. What is i?
-1, -1/2, 1, 2, 5
Suppose 2*u**2/7 - 24564*u/7 + 75423762/7 = 0. Calculate u.
6141
Factor 4*q**4 - 4*q**3 - 24*q**2 + 16*q + 32.
4*(q - 2)**2*(q + 1)*(q + 2)
Find t, given that -2*t**2/19 - 4874*t/19 + 9756/19 = 0.
-2439, 2
Determine d, given that 4*d**5 + 220*d**4 + 4288*d**3 + 35968*d**2 + 133120*d + 179200 = 0.
-20, -7, -4
Find l, given that 2*l**3/13 - 36*l**2/13 + 154*l/13 - 120/13 = 0.
1, 5, 12
Solve 4*g**2 + 1796*g - 5424 = 0.
-452, 3
Factor 2*x**4/3 - 22*x**2/3 + 12*x - 16/3.
2*(x - 2)*(x - 1)**2*(x + 4)/3
Factor 13*w**4 + 11*w**3 - 2*w**2.
w**2*(w + 1)*(13*w - 2)
Determine m, given that -10*m**3/3 - 56*m**2/3 + 98*m - 36 = 0.
-9, 2/5, 3
Suppose -q**2/4 + 2*q - 15/4 = 0. What is q?
3, 5
What is x in x**3 - 43*x**2 + 42*x = 0?
0, 1, 42
What is t in 4*t**5 - 12*t**4 - 88*t**3 + 296*t**2 - 300*t + 100 = 0?
-5, 1, 5
Factor -o**3/5 + 47*o**2/5 - 671*o/5 + 605.
-(o - 25)*(o - 11)**2/5
Find y, given that 4*y**5 - 44*y**4 - 12*y**3 + 1148*y**2 - 1960*y = 0.
-5, 0, 2, 7
Find t such that -t**3 - 33*t**2 - 200*t = 0.
-25, -8, 0
Factor 12*o**3 + 76*o**2 + 460*o/3 + 100.
4*(o + 3)*(3*o + 5)**2/3
Suppose -3*i**4/4 - 105*i**3/4 - 276*i**2 - 813*i - 720 = 0. What is i?
-16, -15, -2
Factor -j**3/10 + 136*j**2/5 - 1794*j - 38088/5.
-(j - 138)**2*(j + 4)/10
Factor d**2/3 + 172*d/3 + 169.
(d + 3)*(d + 169)/3
Find t such that -2*t**5/5 + 14*t**4/5 - 18*t**3/5 - 14*t**2/5 + 4*t = 0.
-1, 0, 1, 2, 5
Let n**5/4 - 19*n**4/4 - 21*n**3/4 + 19*n**2/4 + 5*n = 0. What is n?
-1, 0, 1, 20
Find a such that 18*a**5 - 176*a**4 + 392*a**3 + 276*a**2 - 410*a - 100 = 0.
-1, -2/9, 1, 5
Find b, given that b**5 + 10*b**4 + 27*b**3 + 14*b**2 - 28*b - 24 = 0.
-6, -2, -1, 1
Find p such that -3*p**3/8 - 3*p**2 + 57*p/8 - 15/4 = 0.
-10, 1
Factor 3*y**3/2 - 21*y**2 - 3*y/2 + 21.
3*(y - 14)*(y - 1)*(y + 1)/2
Factor 3*u**2/7 - 1716*u/7.
3*u*(u - 572)/7
Let 8*t**3 + 28*t**2 + 28*t + 8 = 0. Calculate t.
-2, -1, -1/2
Suppose -w**5/6 + 393*w**4 - 1571*w**3/2 + 1178*w**2/3 = 0. Calculate w.
0, 1, 2356
Factor -9*x**3/4 - 3*x**2/2 + 5*x - 2.
-(x + 2)*(3*x - 2)**2/4
Suppose 6*b**3/11 - 126*b**2/11 + 648*b/11 = 0. Calculate b.
0, 9, 12
Suppose i**2 + 71*i - 146 = 0. What is i?
-73, 2
Factor -w**5/10 - 47*w**4/5 - 1238*w**3/5 - 1268*w**2 - 11968*w/5 - 7744/5.
-(w + 2)**3*(w + 44)**2/10
Factor 8*j**3 + 34*j**2 - 84*j.
2*j*(j + 6)*(4*j - 7)
Factor 3*a**4/7 - 228*a**3/7 + 4332*a**2/7.
3*a**2*(a - 38)**2/7
Factor 2*d**5/5 - 4*d**3 + 8*d**2 - 6*d + 8/5.
2*(d - 1)**4*(d + 4)/5
Determine n so that -2*n**4/9 + 4*n**3 + 86*n**2/9 - 40*n/3 = 0.
-3, 0, 1, 20
Factor 2*g**3 - 502*g**2.
2*g**2*(g - 251)
Factor 220*g**3 + 665*g**2/3 + 5*g/3.
5*g*(g + 1)*(132*g + 1)/3
Factor 4*b**5/3 - 32*b**4/3 + 32*b**3 - 128*b**2/3 + 64*b/3.
4*b*(b - 2)**4/3
Find g, given that 2*g**3/11 + 56*g**2/11 - 194*g/11 - 248/11 = 0.
-31, -1, 4
Let -26*t**2 - 138*t - 40 = 0. Calculate t.
-5, -4/13
Suppose -4*w**3 - 4*w**2 + 144*w + 144 = 0. Calculate w.
-6, -1, 6
Factor 3*j**2 + 3*j.
3*j*(j + 1)
Find z, given that 5*z**2 + 110*z - 375 = 0.
-25, 3
Let 3*o**4/7 + 318*o**3 + 417351*o**2/7 + 234684*o + 1633932/7 = 0. What is o?
-369, -2
Determine r so that -15*r**5/4 - 4191*r**4/4 - 9117*r**3/2 - 5781*r**2 - 1650*r = 0.
-275, -2, -2/5, 0
Factor -2*v**2/7 - 2668*v/7 - 889778/7.
-2*(v + 667)**2/7
Suppose m**4/5 + 11*m**3/5 - 12*m**2 = 0. What is m?
-15, 0, 4
Factor 2*a**3/15 - 578*a**2/15 + 572*a/5.
2*a*(a - 286)*(a - 3)/15
Let 2*b**4 - 30*b**3/7 - 108*b**2/7 + 16*b/7 = 0. Calculate b.
-2, 0, 1/7, 4
Let -3*w**2 - 75*w + 162 = 0. Calculate w.
-27, 2
Factor -447*t**2 - 1338*t + 9.
-3*(t + 3)*(149*t - 1)
Suppose 3*w**3/5 - 54*w**2/5 - 3*w/5 + 54/5 = 0. Calculate w.
-1, 1, 18
Determine u so that -315*u**4 - 785*u**3 - 170*u**2 + 260*u - 40 = 0.
-2, -1, 2/9, 2/7
Factor -4*a**3 + 16*a**2 + 124*a - 280.
-4*(a - 7)*(a - 2)*(a + 5)
Solve -2*p**2/7 + 265