1*b**4/5 - 119*b**3/5 + 79*b**2/5 + 24*b - 20 = 0.
-1, 1, 10
Factor -s**4 + 17*s**3.
-s**3*(s - 17)
Suppose r**5 + 8*r**4 - 38*r**3 - 52*r**2 + 37*r + 44 = 0. What is r?
-11, -1, 1, 4
Factor -2*u**5/9 + 160*u**4/9 - 1456*u**3/3 + 43264*u**2/9 - 70304*u/9.
-2*u*(u - 26)**3*(u - 2)/9
Find c such that 3*c**5 + 765*c**4/4 + 3384*c**3 + 10662*c**2 + 7920*c - 2700 = 0.
-30, -2, 1/4
Solve 2*n**5/21 - 8*n**4/21 + 8*n**3/21 + 4*n**2/21 - 10*n/21 + 4/21 = 0 for n.
-1, 1, 2
Solve -15*v**3 - 470*v**2 + 815*v - 330 = 0.
-33, 2/3, 1
Factor 2*v**4/7 + 60*v**3/7 - 62*v**2/7.
2*v**2*(v - 1)*(v + 31)/7
Factor a**2 + 41*a + 40.
(a + 1)*(a + 40)
Solve -l**5/3 - 108*l**4 - 11664*l**3 - 419904*l**2 = 0 for l.
-108, 0
Determine x so that 2*x**4/5 - 168*x**3/5 - 1438*x**2/5 - 3108*x/5 - 368 = 0.
-5, -2, -1, 92
Let -4*i**3 + 360*i**2 + 2268*i + 3456 = 0. Calculate i.
-3, 96
Solve m**5 - 20*m**4 + 54*m**3 - 52*m**2 + 17*m = 0.
0, 1, 17
Solve 2*t**3/3 + 316*t**2/3 - 106*t = 0.
-159, 0, 1
Solve 5*u**3 + 85*u**2 - 205*u - 285 = 0.
-19, -1, 3
Determine v, given that 16*v**5/3 + 56*v**4/3 - 47*v**3/3 - 52*v**2/3 + 31*v/3 - 4/3 = 0.
-4, -1, 1/4, 1
Determine f so that 6*f**4/13 + 34*f**3/13 - 112*f**2/13 + 8*f/13 + 64/13 = 0.
-8, -2/3, 1, 2
Factor 3*m**5/5 + 84*m**4/5 + 144*m**3 + 1728*m**2/5.
3*m**2*(m + 4)*(m + 12)**2/5
Factor -s**2/4 - 9*s - 81.
-(s + 18)**2/4
Factor -2*p**5 - 2*p**4 + 40*p**3.
-2*p**3*(p - 4)*(p + 5)
Let 10*b**4 - 46*b**3 + 10*b**2 + 102*b + 36 = 0. Calculate b.
-1, -2/5, 3
Suppose 7*l**3 + 30*l**2 + 36*l + 8 = 0. Calculate l.
-2, -2/7
Factor 3*f**4/8 + 3507*f**3/4 + 4092663*f**2/8 - 2051595*f/2 + 1026675/2.
3*(f - 1)**2*(f + 1170)**2/8
Factor 2*x**3/3 - 198*x**2 + 196*x + 1184/3.
2*(x - 296)*(x - 2)*(x + 1)/3
Factor -3*q**3/7 + 36*q**2/7 - 135*q/7 + 150/7.
-3*(q - 5)**2*(q - 2)/7
Factor 2*u**2/7 + 2*u + 20/7.
2*(u + 2)*(u + 5)/7
Let -q**2/2 + 22*q - 43/2 = 0. Calculate q.
1, 43
What is s in -2*s**4 - 136*s**3/15 + 248*s**2/15 - 32*s/5 = 0?
-6, 0, 2/3, 4/5
Determine i, given that 3*i**3 - 2511*i**2 + 10005*i - 7497 = 0.
1, 3, 833
Factor 2*g**3/5 + 6*g**2/5 - 2*g/5 - 6/5.
2*(g - 1)*(g + 1)*(g + 3)/5
Factor 3*g**2 - 117*g + 222.
3*(g - 37)*(g - 2)
Factor -2*n**2 - 112*n.
-2*n*(n + 56)
Let -4*f**3/3 - 4*f**2 = 0. What is f?
-3, 0
Factor 12*c**3 - 2319*c**2 + 2883*c - 576.
3*(c - 192)*(c - 1)*(4*c - 1)
Factor d**3 - 144*d**2 + 6912*d - 110592.
(d - 48)**3
Factor -2*d**2/5 - 42*d/5.
-2*d*(d + 21)/5
Solve -6*n**4/7 + 8*n**3 - 38*n**2/7 - 28*n - 96/7 = 0 for n.
-1, -2/3, 3, 8
Solve -d**3 - 43*d**2 + 93*d + 135 = 0 for d.
-45, -1, 3
Factor -3*a**2 + 3618*a - 1090827.
-3*(a - 603)**2
Suppose -c**4 + 3*c**3 + 1007*c**2 + 11985*c + 10982 = 0. Calculate c.
-17, -1, 38
Determine y, given that 3*y**3 - 9*y - 6 = 0.
-1, 2
Factor -3*k**2 - 1167*k - 5760.
-3*(k + 5)*(k + 384)
Factor 2*o**3/7 - 3252*o**2/7 + 189312*o - 376768.
2*(o - 812)**2*(o - 2)/7
Factor -k**4/2 + 3*k**3 - 9*k**2/2 - 2*k + 6.
-(k - 3)*(k - 2)**2*(k + 1)/2
Determine j, given that 21*j**4 - 36*j**3 - 411*j**2 + 306*j + 120 = 0.
-4, -2/7, 1, 5
Factor -r**3/4 + 74*r**2.
-r**2*(r - 296)/4
Factor 5*h**5 - 20*h**4 + 10*h**3 + 20*h**2 - 15*h.
5*h*(h - 3)*(h - 1)**2*(h + 1)
What is p in -p**4 - p**3 + p**2 + p = 0?
-1, 0, 1
Suppose r**3/8 - 2*r**2 + 15*r/8 = 0. What is r?
0, 1, 15
Factor 5*n**3 + 265*n**2 - 1725*n + 2655.
5*(n - 3)**2*(n + 59)
Let 2*q**4 + 148*q**3 - 1478*q**2 + 1328*q = 0. Calculate q.
-83, 0, 1, 8
Factor -4*d**2/5 - 1096*d/5 + 220.
-4*(d - 1)*(d + 275)/5
Find g, given that 290*g**2 + 588*g + 16 = 0.
-2, -4/145
Factor -6*d**4 + 92*d**3 - 320*d**2 - 256*d.
-2*d*(d - 8)**2*(3*d + 2)
Factor -3*d**2 - 3672*d - 1123632.
-3*(d + 612)**2
Factor -5*r**3/4 + 25*r**2/4 + 285*r/4 + 495/4.
-5*(r - 11)*(r + 3)**2/4
Let -3*a**2 + 87*a - 84 = 0. What is a?
1, 28
Suppose -6*m**2 + 57*m - 27 = 0. What is m?
1/2, 9
What is s in 4*s**2 + 14600*s + 13322500 = 0?
-1825
Let 10*g**5/9 + 34*g**4/9 + 14*g**3/3 + 22*g**2/9 + 4*g/9 = 0. Calculate g.
-1, -2/5, 0
Factor 3*h**5 - 6*h**4 - 9*h**3 + 12*h**2 + 12*h.
3*h*(h - 2)**2*(h + 1)**2
What is i in 2*i**2/5 + 396*i + 98010 = 0?
-495
Let 1690*c**4 + 1326*c**3 - 620*c**2 - 192*c + 64 = 0. What is c?
-1, -2/5, 4/13
What is m in -5*m**2 + 125*m - 120 = 0?
1, 24
Factor 2*n**3/11 - 72*n**2/11 + 202*n/11 - 12.
2*(n - 33)*(n - 2)*(n - 1)/11
Solve 2*t**5 + 6*t**4 - 18*t**3 + 10*t**2 = 0 for t.
-5, 0, 1
Solve -u**2 + 142*u + 584 = 0 for u.
-4, 146
Find j, given that -2*j**2 + 190*j = 0.
0, 95
What is o in 5*o**3 - 2300*o**2 - 4615*o - 2310 = 0?
-1, 462
Let 3*x**4 + 26*x**3 + 36*x**2 + 6*x - 7 = 0. Calculate x.
-7, -1, 1/3
Solve -3*q**5/5 - 6*q**4/5 + 21*q**3/5 + 24*q**2/5 - 36*q/5 = 0.
-3, -2, 0, 1, 2
Let -3*b**5 + 21*b**4 + 6*b**3 - 42*b**2 - 3*b + 21 = 0. Calculate b.
-1, 1, 7
Determine b, given that 2*b**3 - 3492*b**2 - 6992*b = 0.
-2, 0, 1748
Factor 2*s**3 + 24*s**2 + 58*s + 36.
2*(s + 1)*(s + 2)*(s + 9)
Factor -f**2/7 - 74*f/7 - 528/7.
-(f + 8)*(f + 66)/7
Find v, given that 3*v**3 + 498*v**2 + 984*v = 0.
-164, -2, 0
Suppose 2*d**2 - 124*d + 354 = 0. What is d?
3, 59
Determine n so that n**4/3 - 2*n**3/3 - 13*n**2 - 24*n = 0.
-3, 0, 8
Factor a**3/3 - 58*a**2/3.
a**2*(a - 58)/3
Solve -2*t**2 - 62*t - 116 = 0.
-29, -2
Solve 22*s**2 - 2*s = 0 for s.
0, 1/11
Solve -200*n**4 - 204*n**3 + 1796*n**2 + 1836*n + 36 = 0.
-3, -1, -1/50, 3
Find g such that g**2 + 138*g + 792 = 0.
-132, -6
Factor -5*u**4 - 8180*u**3 - 3353790*u**2 - 6683060*u - 3337445.
-5*(u + 1)**2*(u + 817)**2
Factor -o**4/9 - 25*o**3/3 - 625*o**2/3 - 15625*o/9.
-o*(o + 25)**3/9
Suppose -2*q**4/19 - 8*q**3/19 + 2*q**2/19 + 8*q/19 = 0. What is q?
-4, -1, 0, 1
Factor y**5/5 - 6*y**4/5 - 2*y**3 + 16*y**2/5 + 33*y/5 + 14/5.
(y - 7)*(y - 2)*(y + 1)**3/5
Factor -5*j**4 - 80*j**3 - 230*j**2 + 720*j - 405.
-5*(j - 1)**2*(j + 9)**2
Solve q**5 - 7*q**4 - 34*q**3 + 40*q**2 = 0.
-4, 0, 1, 10
What is y in 64*y**5/3 + 9665*y**4/3 + 489751*y**3/3 + 8487650*y**2/3 + 8132500*y/3 + 125000/3 = 0?
-50, -1, -1/64
Factor 2*u**2/9 - 86*u/9 - 88/9.
2*(u - 44)*(u + 1)/9
Suppose -c**5/2 - 61*c**4/2 - 959*c**3/2 - 839*c**2/2 + 480*c + 450 = 0. Calculate c.
-30, -1, 1
Find u such that u**2 + 18*u + 56 = 0.
-14, -4
Suppose -3*x**5 - 351*x**4 - 13686*x**3 - 177606*x**2 + 13689*x + 177957 = 0. Calculate x.
-39, -1, 1
Let -5*n**4 - 205*n**3 + 465*n**2 + 1525*n + 860 = 0. What is n?
-43, -1, 4
Factor 2*c**3/11 - 10*c**2/11 - 26*c/11 - 14/11.
2*(c - 7)*(c + 1)**2/11
Find k such that -2*k**5/7 + 6*k**4/7 + 10*k**3/7 - 54*k**2/7 + 64*k/7 - 24/7 = 0.
-3, 1, 2
Find a, given that 3*a**2 - 18*a - 120 = 0.
-4, 10
Let -13*t**4/5 - 41*t**3/5 - 32*t**2/5 - 4*t/5 = 0. Calculate t.
-2, -1, -2/13, 0
Factor -121*y**2/7 + 528*y/7 - 576/7.
-(11*y - 24)**2/7
Determine n, given that 75*n**2 + 65*n - 10 = 0.
-1, 2/15
Find c such that 2*c**4/5 - 54*c**3/5 + 142*c**2/5 + 54*c/5 - 144/5 = 0.
-1, 1, 3, 24
Factor -q**2/3 + 1202*q/3 - 361201/3.
-(q - 601)**2/3
Factor 8*x**3/7 + 824*x**2/7 + 818*x/7 + 204/7.
2*(x + 102)*(2*x + 1)**2/7
Factor 3*c**2/5 + 366*c/5 - 2304/5.
3*(c - 6)*(c + 128)/5
Suppose -p**5/7 + 4*p**4/7 + 23*p**3 + 908*p**2/7 + 1840*p/7 + 1088/7 = 0. Calculate p.
-4, -1, 17
Factor u**4/4 + 25*u**3/4 + 213*u**2/4 + 675*u/4 + 243/2.
(u + 1)*(u + 6)*(u + 9)**2/4
Factor -20*g**3 + 2188*g**2 - 3032*g + 864.
-4*(g - 108)*(g - 1)*(5*g - 2)
Factor -3*k**5/4 + 180*k**3 - 480*k**2 - 11520*k + 55296.
-3*(k - 8)**3*(k + 12)**2/4
Determine l, given that 5*l**3 - 55*l**2 - 1325*l - 1265 = 0.
-11, -1, 23
Factor -4*s**3/7 + 152*s**2/7 + 660*s/7 + 72.
-4*(s - 42)*(s + 1)*(s + 3)/7
Factor f**2/3 - 572*f/3 + 380.
(f - 570)*(f - 2)/3
Factor 7*s**3/5 - 16*s**2/5 + 11*s/5 - 2/5.
(s - 1)**2*(7*s - 2)/5
Let -f**5/3 + 2*f**4/3 + f**3 = 0. Calculate f.
-1, 0, 3
Determine u so that -3*u**5 - 12*u**4 - 15*u**3 - 6*u**2 = 0.
-2, -1, 0
Factor 3*b**5 - 21*b**4 + 45*b**3 - 27*b**2.
3*b**2*(b - 3)**2*(b - 1)
Factor 12*u**3 - 3*u**2 - 42*u - 27.
3*(u + 1)**2*(4*u - 9)
Factor -3*w**4 + 6*w**3 + 9*w**2 - 24*w + 12.
-3*(w - 2)*(w - 1)**2*(w + 2)
Determine p, given that 26*p**3/5 - 10*p**2 + 22*p/5 + 2/5 = 0.
-1/13, 1
Determine w so that -3*w**2 + 6*w + 672 = 0.
-14, 16
Solve 10*q**4 + 38*q**3 - 18*q**2 - 38*q + 8 = 0 for q.
-4, -1, 1/5, 1
Factor -3*k**3 - 15*k**2 + 759*k + 6171.
-3*(k - 17)*(k 