o**3 - 416*o**2 - 2432*o/3.
-2*o*(o + 4)**2*(o + 76)/3
Determine a so that -a**2/4 + 101*a/4 - 25 = 0.
1, 100
Suppose -2*v**5/7 - 2*v**4 - 26*v**3/7 - 2*v**2/7 + 4*v + 16/7 = 0. Calculate v.
-4, -2, -1, 1
Solve -4*q**2/7 - 8*q + 60/7 = 0 for q.
-15, 1
Determine u so that -5*u**3/6 + 35975*u**2/6 - 21576005*u/2 + 21564015/2 = 0.
1, 3597
Factor -4*m**5 + 5*m**4 + 35*m**3 + 35*m**2 + 5*m - 4.
-(m - 4)*(m + 1)**3*(4*m - 1)
Factor -z**4/4 + 8*z**3 - 42*z**2 + 80*z - 52.
-(z - 26)*(z - 2)**3/4
Factor -v**3 - 6*v**2 + 15*v - 8.
-(v - 1)**2*(v + 8)
Factor -4*x**2 - 936*x + 2844.
-4*(x - 3)*(x + 237)
Determine k, given that -196*k**3 - 896*k**2 - 464*k - 64 = 0.
-4, -2/7
Factor 5*i**3 + 145*i**2 + 1200*i + 3060.
5*(i + 6)**2*(i + 17)
Let -i**3 + 27*i**2 - 51*i + 25 = 0. What is i?
1, 25
Determine b, given that 4*b**5 + 20*b**4 - 128*b**3 + 144*b**2 = 0.
-9, 0, 2
Determine d so that -32*d**5/7 + 624*d**4/7 - 2146*d**3/7 - 8936*d**2/7 - 4026*d/7 - 484/7 = 0.
-2, -1/4, 11
Factor r**2 - 1552*r + 602176.
(r - 776)**2
Let -98*m**5 + 938*m**4 - 2864*m**3 + 2984*m**2 - 1088*m + 128 = 0. Calculate m.
2/7, 1, 4
Determine w so that w**5/7 - 2*w**4 + 31*w**3/7 + 142*w**2/7 - 32*w/7 - 128/7 = 0.
-2, -1, 1, 8
What is a in -2*a**2 + 6*a = 0?
0, 3
Factor -2*k**3/15 + 8*k**2/15 + 38*k/15 + 28/15.
-2*(k - 7)*(k + 1)*(k + 2)/15
Let 12*i**5/7 - 195*i**4/7 + 972*i**3/7 - 201*i**2 + 42*i = 0. What is i?
0, 1/4, 2, 7
Determine w, given that -54*w**4 - 786*w**3 - 3140*w**2/3 + 584*w - 208/3 = 0.
-13, -2, 2/9
Suppose l**2 + 862*l + 185761 = 0. Calculate l.
-431
Factor -3*o**5/4 + 6*o**4 + 45*o**3/2 + 24*o**2 + 33*o/4.
-3*o*(o - 11)*(o + 1)**3/4
What is b in -8*b**4 + 44*b**3 + 176*b**2 - 452*b + 240 = 0?
-4, 1, 15/2
Factor o**4/2 - 19*o**3 + 393*o**2/2 - 270*o - 486.
(o - 18)**2*(o - 3)*(o + 1)/2
Let v**5 - 3*v**4/2 - 13*v**3/2 + 9*v**2 + 10*v - 12 = 0. Calculate v.
-2, -3/2, 1, 2
Factor -18*c**3/7 + 236*c**2/7 - 888*c/7 + 720/7.
-2*(c - 6)**2*(9*c - 10)/7
Find g such that -672*g**4/19 + 542*g**3/19 + 1902*g**2/19 + 408*g/19 - 280/19 = 0.
-1, -2/3, 2/7, 35/16
Factor 2*x**3/15 + 94*x**2/15 + 304*x/5 + 168.
2*(x + 6)**2*(x + 35)/15
Let -2*j**3 - 100*j**2 - 98*j = 0. What is j?
-49, -1, 0
Factor 3*l**2 - 501*l + 2898.
3*(l - 161)*(l - 6)
Factor l**3/4 + 11*l**2/2 + 151*l/4 + 165/2.
(l + 5)*(l + 6)*(l + 11)/4
What is q in -2*q**5/13 + 32*q**4/13 - 90*q**3/13 - 324*q**2/13 = 0?
-2, 0, 9
Factor 2*v**4 - 104*v**3 + 1352*v**2.
2*v**2*(v - 26)**2
Factor 105*d**3 + 7135*d**2 + 121040*d - 5780.
5*(d + 34)**2*(21*d - 1)
Let y**5/5 + 3*y**4/5 + 2*y**3/5 = 0. Calculate y.
-2, -1, 0
Let -3*r**4/4 + 75*r**3/4 - 171*r**2/4 - 675*r/4 + 891/2 = 0. Calculate r.
-3, 3, 22
Determine x so that -4*x**5 + 24*x**4 - 44*x**3 + 8*x**2 + 48*x - 32 = 0.
-1, 1, 2
Let -u**2/3 - 34*u/3 + 35/3 = 0. What is u?
-35, 1
Find z such that 225*z**2 + 670*z/3 - 5/3 = 0.
-1, 1/135
Solve 4*x**3 - 64*x**2 + 116*x - 56 = 0.
1, 14
Determine k so that -2*k**3/5 + 536*k**2/5 - 5674*k/5 + 1028 = 0.
1, 10, 257
Solve 4*m**5 - 236*m**4 + 4684*m**3 - 34276*m**2 + 55424*m - 25600 = 0.
1, 16, 25
Factor -2*t**4 - 220*t**3 - 648*t**2 - 644*t - 214.
-2*(t + 1)**3*(t + 107)
Solve 33*z**5 + 233*z**4 + 575*z**3 + 595*z**2 + 232*z + 12 = 0.
-3, -2, -1, -2/33
What is q in 4*q**2/3 - 9*q + 6 = 0?
3/4, 6
Factor -2*q**2/5 + 1116*q/5 + 1118/5.
-2*(q - 559)*(q + 1)/5
Solve a**4/4 - 59*a**3/4 + 57*a**2/4 + 59*a/4 - 29/2 = 0 for a.
-1, 1, 58
Factor o**2/9 + 154*o/3 + 461/9.
(o + 1)*(o + 461)/9
Solve -4*c**2/5 - 76*c/5 - 336/5 = 0.
-12, -7
Let -2*v**2/19 + 86*v/19 - 164/19 = 0. What is v?
2, 41
Find p, given that 4*p**3 + 208*p**2 - 4*p - 208 = 0.
-52, -1, 1
Factor -2*k**2 + 16*k + 18.
-2*(k - 9)*(k + 1)
Suppose -2*l**3/9 + 2*l**2 - 40*l/9 + 8/3 = 0. Calculate l.
1, 2, 6
Determine l so that -4*l**5 + 48*l**4 - 160*l**3 + 120*l**2 + 164*l - 168 = 0.
-1, 1, 2, 3, 7
Let -x**2/7 - 29*x/7 + 30/7 = 0. Calculate x.
-30, 1
Let 3*o**3/7 + 108*o**2/7 + 855*o/7 - 2166/7 = 0. Calculate o.
-19, 2
Determine f, given that 507*f**2/7 - 19812*f/7 + 193548/7 = 0.
254/13
Factor -v**2/7 + 52*v/7 + 59.
-(v - 59)*(v + 7)/7
Factor b**4/7 - b**3/7 - 8*b**2/7 + 12*b/7.
b*(b - 2)**2*(b + 3)/7
Find h such that 5*h**4 - 295*h**3 - 15*h**2 + 875*h + 590 = 0.
-1, 2, 59
Determine f, given that f**3/5 + 237*f**2/5 - 48*f - 476/5 = 0.
-238, -1, 2
Factor -13*p**2/5 - 777*p + 598/5.
-(p + 299)*(13*p - 2)/5
Factor 4*b**3 - 424*b**2 + 836*b - 416.
4*(b - 104)*(b - 1)**2
Find p such that 2*p**2 - 18 = 0.
-3, 3
Suppose 5*t**4 + 25*t**3 + 25*t**2 - 25*t - 30 = 0. Calculate t.
-3, -2, -1, 1
Factor 2*m**2/5 - 16*m/5 + 6.
2*(m - 5)*(m - 3)/5
Find m such that m**2 - 75*m = 0.
0, 75
What is v in -5*v**3 - 85*v**2 - 220*v - 140 = 0?
-14, -2, -1
Factor -2*u**5 + 40*u**4 - 72*u**3 - 4*u**2 + 74*u - 36.
-2*(u - 18)*(u - 1)**3*(u + 1)
Factor -o**4 - 7*o**3 + 21*o**2 + 27*o.
-o*(o - 3)*(o + 1)*(o + 9)
Find n such that n**2 + 257*n + 256 = 0.
-256, -1
Factor -12*j**2 + 543*j - 135.
-3*(j - 45)*(4*j - 1)
Find l, given that -5*l**5 - 20*l**4 - 20*l**3 + 10*l**2 + 25*l + 10 = 0.
-2, -1, 1
Factor -2*u**4 + 12*u**3 - 8*u**2 - 12*u + 10.
-2*(u - 5)*(u - 1)**2*(u + 1)
Factor x**4/2 - 839*x**3/2 - 2523*x**2/2 - 2525*x/2 - 421.
(x - 842)*(x + 1)**3/2
Factor u**5 - 77*u**4 + 438*u**3 - 860*u**2 + 568*u.
u*(u - 71)*(u - 2)**3
Factor 5618*s**2 + 1696*s + 128.
2*(53*s + 8)**2
Factor 2*i**3 + 52*i**2 + 338*i.
2*i*(i + 13)**2
Factor -2*f**4 - 14*f**3 - 12*f**2.
-2*f**2*(f + 1)*(f + 6)
Factor 4*z**5 - 5544*z**4 + 22136*z**3 - 33184*z**2 + 22116*z - 5528.
4*(z - 1382)*(z - 1)**4
Factor -a**2 - 73*a.
-a*(a + 73)
Factor t**3/6 - 9*t**2 + 243*t/2.
t*(t - 27)**2/6
Factor -s**5/4 - 65*s**4/4 + 75*s**3/4 + 605*s**2/4 + 365*s/2 + 66.
-(s - 4)*(s + 1)**3*(s + 66)/4
Factor 3*k**3/7 + 120*k**2/7 + 225*k + 6750/7.
3*(k + 10)*(k + 15)**2/7
Factor -4*v**3 + 20*v**2 + 2208*v + 16704.
-4*(v - 29)*(v + 12)**2
Let -2*i**4 - 18*i**3 - 8*i**2 + 72*i + 64 = 0. What is i?
-8, -2, -1, 2
Let 3*s**2 + 603*s = 0. Calculate s.
-201, 0
Find y such that -y**4/4 + 17*y**3/4 + 85*y**2/4 - 17*y/4 - 21 = 0.
-4, -1, 1, 21
Find v such that -v**4/7 + 6*v**3/7 + 17*v**2/7 - 6*v/7 - 16/7 = 0.
-2, -1, 1, 8
Find r such that -18*r**4/5 + 6*r**3/5 + 18*r**2/5 - 6*r/5 = 0.
-1, 0, 1/3, 1
Factor 4*n**3 - 32*n**2 + 44*n + 80.
4*(n - 5)*(n - 4)*(n + 1)
Factor -18*f**3/13 + 58*f**2/13 - 12*f/13.
-2*f*(f - 3)*(9*f - 2)/13
Factor -4*q**4/5 - 56*q**3/5 - 204*q**2/5 - 216*q/5.
-4*q*(q + 2)*(q + 3)*(q + 9)/5
Factor 4*b**3 + 360*b**2 + 672*b - 2816.
4*(b - 2)*(b + 4)*(b + 88)
Solve d**4 + d**3 - 10*d**2 + 8*d = 0.
-4, 0, 1, 2
Factor -5*u**4 + 3095*u**3 + 3100*u**2.
-5*u**2*(u - 620)*(u + 1)
Solve -4*a**2 + 136*a - 256 = 0.
2, 32
Solve -n**5/3 - 5*n**4 - 47*n**3/3 + 79*n**2/3 + 16*n - 64/3 = 0 for n.
-8, -1, 1
Determine s so that 5*s**5 + 180*s**4 + 500*s**3 + 150*s**2 - 505*s - 330 = 0.
-33, -2, -1, 1
What is p in 35*p**4 + 9755*p**3 + 599175*p**2 - 11516715*p + 3241350 = 0?
-147, 2/7, 15
Factor 3*b**3/4 - 25*b**2/8 - 25*b/8.
b*(b - 5)*(6*b + 5)/8
Factor 1450*h**2/11 + 1446*h/11 - 4/11.
2*(h + 1)*(725*h - 2)/11
Suppose 5*h**5 - 65*h**4 + 235*h**3 - 295*h**2 + 120*h = 0. What is h?
0, 1, 3, 8
Factor -9*k**3/2 - 18147*k**2/2 + 12101*k/2 - 2017/2.
-(k + 2017)*(3*k - 1)**2/2
Factor 3*y**4/4 + 21*y**3 - 375*y**2/4 + 72*y.
3*y*(y - 3)*(y - 1)*(y + 32)/4
Let 2*g**2/17 - 26*g/17 + 72/17 = 0. What is g?
4, 9
What is r in -4*r**2 - 64*r - 252 = 0?
-9, -7
Let b**2/5 - 418*b/5 + 43681/5 = 0. Calculate b.
209
Factor -n**5/2 - 3*n**4/2 - n**3.
-n**3*(n + 1)*(n + 2)/2
Factor -2*s**5/3 - 2*s**4 - 4*s**3/3 + 4*s**2/3 + 2*s + 2/3.
-2*(s - 1)*(s + 1)**4/3
Factor r**2/4 - r/2.
r*(r - 2)/4
What is d in -3*d**2 - 48*d - 192 = 0?
-8
Let -8*a**4/5 + 254*a**3 - 434*a**2 - 878*a - 942/5 = 0. Calculate a.
-1, -1/4, 3, 157
Factor 2*n**2/9 - 40*n/3 + 1078/9.
2*(n - 49)*(n - 11)/9
Factor -4*h**2/7 - 10616*h/7 - 7043716/7.
-4*(h + 1327)**2/7
Factor -5*p**3 + 100*p**2 + 345*p.
-5*p*(p - 23)*(p + 3)
Factor -2*w**3 - 8*w**2/9 + 2*w + 8/9.
-2*(w - 1)*(w + 1)*(9*w + 4)/9
Solve 3*u**3 - 36*u**2 - 180*u - 192 = 0 for u.
-2, 16
Factor -3*v**4/4 + 4113*v**3/4 - 937755*v**2/2 + 70638027*v + 216161802.
-3*(v - 458)**3*(v + 3)/4
Determine c, given that -c**2 + 7038*c - 12383361 = 0.
3519
Factor -2*t**4 -