3/11 - 4*b**2/11 - 10*b/11 + 4/11.
2*(b - 1)*(b + 1)*(5*b - 2)/11
Determine j so that -2*j**5/3 + 262*j**4 - 25872*j**3 + 76832*j**2/3 = 0.
0, 1, 196
Suppose -v**5/9 - 11*v**4/9 + v**3/3 + 31*v**2/9 - 22*v/9 = 0. Calculate v.
-11, -2, 0, 1
Suppose -3*t**4/2 + 657*t**3 - 2619*t**2/2 + 654*t = 0. What is t?
0, 1, 436
Factor -j**4/2 - 39*j**3 + 204*j**2 - 289*j + 249/2.
-(j - 3)*(j - 1)**2*(j + 83)/2
Find f such that 4*f**5 + 48*f**4 - 2400*f**3 - 7448*f**2 - 7524*f - 2520 = 0.
-30, -1, 21
Solve 6*h**3/5 - 28*h**2 + 298*h/5 - 84/5 = 0 for h.
1/3, 2, 21
Solve -2*n**2 - 258*n + 524 = 0.
-131, 2
Suppose -2*x**4 - 13236*x**3 - 21898962*x**2 = 0. Calculate x.
-3309, 0
Factor 5*r**3 + 290*r**2 + 1605*r + 2340.
5*(r + 3)**2*(r + 52)
Factor -2*o**4 + 2208*o**3 + 13296*o**2 + 26624*o + 17760.
-2*(o - 1110)*(o + 2)**3
Factor -2*g**2/3 + 4*g/3 + 16/3.
-2*(g - 4)*(g + 2)/3
Factor -2*a**2 - 2082*a.
-2*a*(a + 1041)
Let 3*l**2 + 411*l = 0. Calculate l.
-137, 0
Find f such that 4*f**3 + 344*f**2 + 676*f + 336 = 0.
-84, -1
Suppose -5*r**5 + 15*r**4 + 65*r**3 - 75*r**2 = 0. What is r?
-3, 0, 1, 5
Find z such that 20*z**2 - 84*z - 80 = 0.
-4/5, 5
Factor 5*l**2 + 115*l + 210.
5*(l + 2)*(l + 21)
Factor -d**3 + 20*d**2 - 19*d.
-d*(d - 19)*(d - 1)
Let -7*t**4/9 + 4*t**3/9 + 346*t**2/9 - 196*t/9 - 49/3 = 0. What is t?
-7, -3/7, 1, 7
Let -2*f**3/9 - 292*f**2/9 - 1216*f - 2304 = 0. What is f?
-72, -2
Find i such that -4*i**2 + 56*i - 52 = 0.
1, 13
Determine i, given that -4*i**2/7 - 20*i - 384/7 = 0.
-32, -3
Solve -3*h**2 - 3*h + 36 = 0.
-4, 3
Factor 2*w**2/5 + 128*w/5 + 2048/5.
2*(w + 32)**2/5
What is l in 3*l**4 - 27*l**3 + 60*l**2 - 36*l = 0?
0, 1, 2, 6
Find k such that k**5/4 - 9*k**4 + 99*k**3/2 + 568*k**2 + 3801*k/4 + 441 = 0.
-4, -1, 21
Factor -4*n**3/5 + 226*n**2/5 - 4256*n/5 + 26714/5.
-2*(n - 19)**2*(2*n - 37)/5
Find w, given that -12*w**5 - 1840*w**4 - 94240*w**3 - 1621800*w**2 - 468180*w + 1061208 = 0.
-51, -1, 2/3
Factor 2*h**3/11 + 7680*h**2/11 + 7372800*h/11.
2*h*(h + 1920)**2/11
Factor -2*i**3 - 6*i**2 + 36*i + 80.
-2*(i - 4)*(i + 2)*(i + 5)
Factor -4*j**2 + 556*j - 1096.
-4*(j - 137)*(j - 2)
Suppose t**3 + 12*t**2 + 45*t + 50 = 0. What is t?
-5, -2
Determine u, given that 3*u**2/2 + 21*u - 45/2 = 0.
-15, 1
Factor w**3 + 81*w**2 - 337*w + 255.
(w - 3)*(w - 1)*(w + 85)
Factor 2*n**4/7 - 4*n**2/7 + 2/7.
2*(n - 1)**2*(n + 1)**2/7
Solve -4*v**2 - 144*v = 0.
-36, 0
Factor -2*n**2/11 + 130*n/11.
-2*n*(n - 65)/11
Factor 2*a**2/3 - 26*a/3 - 28/3.
2*(a - 14)*(a + 1)/3
Factor -2*g**3/5 + 12*g**2/5 - 18*g/5.
-2*g*(g - 3)**2/5
Determine p so that 24*p**5 + 78*p**4 + 27*p**3 - 60*p**2 + 12*p = 0.
-2, 0, 1/4, 1/2
Factor -5*n**2 - 9735*n + 19490.
-5*(n - 2)*(n + 1949)
Factor 2*s**2 + 24*s.
2*s*(s + 12)
Solve -4*m**5 + 1040*m**4 - 96400*m**3 + 3680000*m**2 - 48640000*m + 204800000 = 0 for m.
10, 80
Let b**5/2 - 17*b**4/2 - 18*b**3 + 322*b**2 - 176*b - 1632 = 0. Calculate b.
-6, -2, 4, 17
Factor 5*p**2 + 50*p + 125.
5*(p + 5)**2
Factor 3*a**2/5 - 39*a/5 - 18.
3*(a - 15)*(a + 2)/5
Determine j so that 3*j**5 - 186*j**4 + 3039*j**3 - 4152*j**2 - 18180*j - 10800 = 0.
-1, 4, 30
Let 3*f**3 + 58*f**2 + 17*f - 38 = 0. Calculate f.
-19, -1, 2/3
Factor -12*z**4 - 32*z**3 + 60*z**2 - 16*z.
-4*z*(z - 1)*(z + 4)*(3*z - 1)
Factor o**4/5 - 48*o**3/5 - 261*o**2/5 - 212*o/5.
o*(o - 53)*(o + 1)*(o + 4)/5
Solve -10976*z**3 - 91728*z**2 - 255528*z - 237276 = 0.
-39/14
Suppose -3*b**2 + 9*b = 0. Calculate b.
0, 3
Suppose -2*j**4 - 14*j**3 - 4*j**2 + 80*j = 0. What is j?
-5, -4, 0, 2
Suppose -4*d**4 + 792*d**3 - 788*d**2 = 0. What is d?
0, 1, 197
Factor -f**2/5 + 431*f/5 + 432/5.
-(f - 432)*(f + 1)/5
Factor 3*x**2/5 - 6*x/5 - 9.
3*(x - 5)*(x + 3)/5
Suppose 3*c**2/4 + 39*c + 315 = 0. What is c?
-42, -10
Find h, given that h**5/3 - 2*h**4/3 - h**3/3 + 2*h**2/3 = 0.
-1, 0, 1, 2
What is l in -18*l**3/13 - 492*l**2/13 - 1490*l/13 - 1200/13 = 0?
-24, -5/3
Let 2*n**4 - 8*n**3 - 26*n**2 + 80*n + 96 = 0. Calculate n.
-3, -1, 4
Factor u**4/7 - 2*u**3/7 - 8*u**2/7 + 18*u/7 - 9/7.
(u - 3)*(u - 1)**2*(u + 3)/7
Let -4*s**5 - 320*s**4 - 6712*s**3 - 12480*s**2 - 6084*s = 0. Calculate s.
-39, -1, 0
Let j**2/3 + 35*j/3 - 74/3 = 0. What is j?
-37, 2
Let 3*k**2 + 249*k - 510 = 0. Calculate k.
-85, 2
Factor 2*d**2.
2*d**2
Suppose c**3/6 + 13*c**2/6 + 23*c/6 + 11/6 = 0. What is c?
-11, -1
Factor l**3 - 58*l**2 + 1120*l - 7200.
(l - 20)**2*(l - 18)
Find l such that 2*l**3/3 - 28*l**2/3 - 574*l/3 + 200 = 0.
-12, 1, 25
Factor -x**3/2 + 13*x**2 + 570*x - 15300.
-(x - 30)**2*(x + 34)/2
Suppose d**2/4 - 31*d + 120 = 0. What is d?
4, 120
Factor 2*t**4 + 18*t**3 + 14*t**2 - 18*t - 16.
2*(t - 1)*(t + 1)**2*(t + 8)
Let 10*l**5 - 16*l**4 - 198*l**3 + 124*l**2 + 80*l = 0. Calculate l.
-4, -2/5, 0, 1, 5
Factor -2*r**3 - 74*r**2 - 208*r - 136.
-2*(r + 1)*(r + 2)*(r + 34)
Let -5*q**5 - 55*q**4 - 125*q**3 - 25*q**2 + 130*q + 80 = 0. Calculate q.
-8, -2, -1, 1
Find t, given that -20*t**3/7 + 758*t**2/7 - 1364*t/7 - 144/7 = 0.
-1/10, 2, 36
Factor d**5/4 - 3*d**4/4 - 5*d**3 + 12*d**2 + 16*d.
d*(d - 4)**2*(d + 1)*(d + 4)/4
Factor 2*i**5/7 - 22*i**4/7 + 36*i**3/7 + 4*i**2/7 - 38*i/7 + 18/7.
2*(i - 9)*(i - 1)**3*(i + 1)/7
Find i such that -i**5/10 - 211*i**4/5 - 44097*i**3/10 + 44732*i**2/5 - 22472*i/5 = 0.
-212, 0, 1
Find j, given that 4*j**5 + 12*j**4 + 4*j**3 - 12*j**2 - 8*j = 0.
-2, -1, 0, 1
Factor 3*d**5 + 3*d**4 - 3*d**3 - 3*d**2.
3*d**2*(d - 1)*(d + 1)**2
Find w, given that -2*w**2/3 - 56*w/3 - 18 = 0.
-27, -1
Determine o, given that -o**3/6 + 11*o**2/6 - 16*o/3 + 14/3 = 0.
2, 7
Suppose 5*m**5 - 35*m**4 + 5*m**3 + 135*m**2 + 90*m = 0. What is m?
-1, 0, 3, 6
What is n in 5*n**3 - 445*n**2 + 10120*n - 9680 = 0?
1, 44
Factor -3*c**2 - 18750*c - 29296875.
-3*(c + 3125)**2
Determine o so that 3*o**5/7 + 12*o**4/7 - 270*o**3/7 + 48*o**2 + 1515*o/7 + 900/7 = 0.
-12, -1, 5
Factor 5*t**2 + 205*t - 5700.
5*(t - 19)*(t + 60)
Solve 17*r**5 + 20*r**4 - 85*r**3 - 100*r**2 + 68*r + 80 = 0.
-2, -20/17, -1, 1, 2
Factor -w**2/3 - 320*w/3 - 25600/3.
-(w + 160)**2/3
Factor f**4/3 - f**3/3 - f**2 + f/3 + 2/3.
(f - 2)*(f - 1)*(f + 1)**2/3
Suppose 7*a**5/5 + 3*a**4 - 46*a**3/5 + 24*a**2/5 = 0. What is a?
-4, 0, 6/7, 1
Factor i**2 - 1336*i - 2676.
(i - 1338)*(i + 2)
Solve -4*f**2 - 196*f - 192 = 0.
-48, -1
Find h such that -h**3/3 - 5*h**2/3 - 8*h/3 - 4/3 = 0.
-2, -1
Determine u so that -21*u**4 + 855*u**3 - 8994*u**2 + 5760*u + 2400 = 0.
-2/7, 1, 20
Factor -b**4/3 + 50*b**3/3 + 53*b**2/3 - 34*b.
-b*(b - 51)*(b - 1)*(b + 2)/3
Factor k**2/3 + 2*k/3 - 1.
(k - 1)*(k + 3)/3
Factor j**4/5 - 423*j**3/5 + 44091*j**2/5 + 136107*j/5.
j*(j - 213)**2*(j + 3)/5
Solve -2*k**2 + 144*k - 2592 = 0 for k.
36
Factor 3*d**4 - 1593*d**3 + 205785*d**2 + 1519581*d.
3*d*(d - 269)**2*(d + 7)
Find r, given that -r**2/8 - 39*r/2 - 148 = 0.
-148, -8
Determine d so that 2*d**4/5 + 4*d**3/5 - 24*d**2/5 + 28*d/5 - 2 = 0.
-5, 1
What is n in 2*n**5/7 - 306*n**4/7 - 618*n**3/7 - 310*n**2/7 = 0?
-1, 0, 155
Determine d, given that d**3/7 + 69*d**2/7 - 4*d/7 - 276/7 = 0.
-69, -2, 2
What is m in 5*m**3 + 115*m**2 - 265*m - 375 = 0?
-25, -1, 3
Solve -2*d**5/13 + 48*d**4/13 + 56*d**3/13 - 140*d**2/13 - 246*d/13 - 100/13 = 0 for d.
-1, 2, 25
Let 10092*j**2 - 28884*j + 20667 = 0. Calculate j.
83/58
Factor -2*j**4 - 128*j**3 - 3060*j**2 - 32400*j - 128250.
-2*(j + 15)**3*(j + 19)
Find y such that -2*y**4 - 8*y**3 - 10*y**2 - 4*y = 0.
-2, -1, 0
Factor 2*h**2/5 + 726*h/5 - 728/5.
2*(h - 1)*(h + 364)/5
Find a, given that 25*a**2 - 765*a - 310 = 0.
-2/5, 31
Factor 24*i**4 + 6876*i**3 + 10278*i**2 + 5133*i + 855.
3*(i + 285)*(2*i + 1)**3
Solve -4*x**5 + 52*x**4 - 136*x**3 - 120*x**2 + 396*x + 324 = 0.
-1, 3, 9
Let 5*j**5/6 + 13*j**4/6 - 91*j**3/6 - 161*j**2/6 - 11*j/3 + 20/3 = 0. Calculate j.
-5, -1, 2/5, 4
Factor -u**3/3 + 185*u**2/3 - 2821*u - 2883.
-(u - 93)**2*(u + 1)/3
Let -9408*a**5 + 37968*a**4 - 29571*a**3 + 1020*a**2 - 9*a = 0. Calculate a.
0, 1/56, 1, 3
Factor -2*i**5 + 56*i**4 + 196*i**3 - 8232*i**2 - 43218*i.
-2*i*(i - 21)**2*(i + 7)**2
Factor x**5/3 + 10*x**4/3 + 28*x**3/3 + 8*x**2.
x**2*(x + 2)**2*(x + 6)/3
Solve 2*d**4/7 - 6*d**3/7 - 46*d**2/7 - 66*d/7 - 4 = 0 for d.
-2, -1, 7
Factor -3*y**2 + 282*y - 6627.
-3*(y - 47)**2
Suppose -j**3/4 + 65*j**2 - 18573*j/4 + 105903/2 = 0. What 