)
Let j**5 + 2*j**4 - 27*j**3 + 52*j**2 - 28*j = 0. What is j?
-7, 0, 1, 2
Determine o, given that 3*o**4/2 + 3*o**3/2 - 9*o**2/2 - 3*o/2 + 3 = 0.
-2, -1, 1
Find x, given that -2*x**4/5 + 14*x**3 + 8*x**2/5 - 56*x = 0.
-2, 0, 2, 35
Factor -4*c**2 + 164*c + 168.
-4*(c - 42)*(c + 1)
Find t, given that 25*t**2 - 180*t + 35 = 0.
1/5, 7
Let 2*v**3/21 - 46*v**2/7 - 144*v/7 = 0. Calculate v.
-3, 0, 72
Factor 5*v**5 + 40*v**4 + 110*v**3 + 120*v**2 + 45*v.
5*v*(v + 1)**2*(v + 3)**2
Solve 3*c**2/5 + 654*c/5 - 657/5 = 0.
-219, 1
Factor -h**3/2 + 93*h**2 - 369*h/2 + 92.
-(h - 184)*(h - 1)**2/2
Factor -21*j**3 + 645*j**2 - 1032*j - 348.
-3*(j - 29)*(j - 2)*(7*j + 2)
Factor -h**5 + 371*h**4/3 + 124*h**3/3.
-h**3*(h - 124)*(3*h + 1)/3
Factor -2*k**3 - 150*k**2 + 624*k - 632.
-2*(k - 2)**2*(k + 79)
Determine p so that 5*p**3 - 110*p**2 = 0.
0, 22
Suppose 3*t**5 + 369*t**4 + 12906*t**3 + 97038*t**2 + 272403*t + 263169 = 0. Calculate t.
-57, -3
Factor 3*u**4 + 8*u**3 - 31*u**2 + 20*u.
u*(u - 1)*(u + 5)*(3*u - 4)
Factor -3*x**3 + 69*x**2 - 45*x - 4725.
-3*(x - 15)**2*(x + 7)
Factor r**2 + 126*r.
r*(r + 126)
Factor -722*t**3/9 - 266*t**2/9 + 128*t/3 - 8.
-2*(t + 1)*(19*t - 6)**2/9
Suppose -2*k**3/9 + 18*k**2 - 486*k + 4374 = 0. What is k?
27
What is q in 3*q**4 + 15*q**3 + 18*q**2 - 12*q - 24 = 0?
-2, 1
Find p such that -p**2/4 + 31*p/4 = 0.
0, 31
Find v, given that 2*v**2/3 + 14*v/3 - 16/3 = 0.
-8, 1
Determine f so that 2*f**5/11 - 94*f**4/11 + 516*f**3/11 - 1004*f**2/11 + 826*f/11 - 246/11 = 0.
1, 3, 41
Suppose 2*p**4 + 76*p**3 - 162*p**2 - 76*p + 160 = 0. Calculate p.
-40, -1, 1, 2
Let r**4/2 + 8*r**3 - 21*r**2/2 - 32*r + 34 = 0. What is r?
-17, -2, 1, 2
Factor -5*g**4 + 10*g**3 + 15*g**2.
-5*g**2*(g - 3)*(g + 1)
Factor -25*q**2 + 80*q - 15.
-5*(q - 3)*(5*q - 1)
Suppose -2*x**4/15 + 128*x**3/15 - 832*x**2/5 + 14336*x/15 - 25088/15 = 0. What is x?
4, 28
Factor 5*m**2 + 365*m - 1950.
5*(m - 5)*(m + 78)
Factor -k**3/8 - 3*k**2 - 21*k/2 - 10.
-(k + 2)**2*(k + 20)/8
Suppose -4*m**3 + 160*m**2 - 1748*m + 2888 = 0. What is m?
2, 19
Suppose -o**2/2 - 103*o/2 + 327 = 0. What is o?
-109, 6
What is a in a**5/2 + 21*a**4 - 46*a**3 - 87*a**2 + 91*a/2 + 66 = 0?
-44, -1, 1, 3
Solve g**2/4 - 7*g/4 = 0 for g.
0, 7
Factor -x**2/2 + 40*x - 800.
-(x - 40)**2/2
Solve -k**2/12 - 2*k - 12 = 0.
-12
Find l, given that -4*l**5 - 1812*l**4 - 204300*l**3 + 206116*l**2 = 0.
-227, 0, 1
Factor -5*z**4 + 55*z**3 + 15*z**2 - 175*z + 110.
-5*(z - 11)*(z - 1)**2*(z + 2)
Determine f, given that f**3/5 + 456*f**2/5 - 183*f + 458/5 = 0.
-458, 1
Factor 2*b**2/13 + 600*b/13 - 602/13.
2*(b - 1)*(b + 301)/13
What is f in 2*f**5/13 - 8*f**4/13 + 32*f**2/13 - 32*f/13 = 0?
-2, 0, 2
Factor 2*m**2/9 - 98*m/9 + 32/3.
2*(m - 48)*(m - 1)/9
Factor 5*j**3 - 40*j**2 - 45*j.
5*j*(j - 9)*(j + 1)
Suppose 3*l**3/8 + 153*l**2/8 + 345*l/4 = 0. Calculate l.
-46, -5, 0
Determine k so that -k**5/5 - 9*k**4 - 41*k**3/5 + 133*k**2/5 + 42*k/5 - 88/5 = 0.
-44, -2, -1, 1
Factor m**2/4 + m + 1.
(m + 2)**2/4
Factor -z**2/3 + 20*z/3 - 19/3.
-(z - 19)*(z - 1)/3
Factor -u**4/8 + 9*u**3/8 - 5*u**2/2 + 3*u/2.
-u*(u - 6)*(u - 2)*(u - 1)/8
Factor 2*j**4/9 - 1088*j**3/9 + 21840*j**2 - 11659648*j/9 - 24114272/9.
2*(j - 182)**3*(j + 2)/9
Suppose h**2/4 + 179*h/4 = 0. What is h?
-179, 0
Find r, given that -2*r**2/7 - 22*r/7 + 24/7 = 0.
-12, 1
Factor u**3/2 - u**2 - 42*u + 180.
(u - 6)**2*(u + 10)/2
Factor -2*g**2/7 + 2944*g/7.
-2*g*(g - 1472)/7
Factor 2*b**3 - 176*b**2 - 178*b.
2*b*(b - 89)*(b + 1)
Determine n so that -3*n**5 + 3*n**4 + 6*n**3 = 0.
-1, 0, 2
Factor -j**4 + 23*j**3 + 78*j**2 + 4*j - 104.
-(j - 26)*(j - 1)*(j + 2)**2
Let -4*s**3 + 98*s**2 + 52*s - 50 = 0. Calculate s.
-1, 1/2, 25
Factor -z**3 + 289*z**2/3 - 220*z + 188/3.
-(z - 94)*(z - 2)*(3*z - 1)/3
Suppose 5*o**5/3 - 70*o**4/3 + 65*o**3 + 90*o**2 = 0. Calculate o.
-1, 0, 6, 9
Let 15*s**5 + 25*s**4 - 130*s**3 + 40*s**2 = 0. Calculate s.
-4, 0, 1/3, 2
Factor -2*a**4/9 + 10*a**3 + 94*a**2/3 + 286*a/9 + 32/3.
-2*(a - 48)*(a + 1)**3/9
Determine c so that 4*c**3/9 - 64*c**2/9 - 716*c/9 + 184 = 0.
-9, 2, 23
What is p in -150*p**4/11 + 380*p**3 + 56*p**2 - 1552*p/11 - 448/11 = 0?
-2/5, 2/3, 28
Factor j**2 + 25*j - 26.
(j - 1)*(j + 26)
Factor 2*x**4/3 + 56*x**3/15 + 2*x**2.
2*x**2*(x + 5)*(5*x + 3)/15
Find a, given that 2*a**4/3 - 20*a**3 + 56*a**2/3 + 20*a - 58/3 = 0.
-1, 1, 29
What is o in -21*o**2 - 723*o + 744 = 0?
-248/7, 1
Solve -2*b**2 + 58*b - 276 = 0.
6, 23
What is o in o**3/2 + 27*o**2 + 184*o = 0?
-46, -8, 0
Solve -2*u**4/5 - 62*u**3/5 + 26*u**2 - 66*u/5 = 0.
-33, 0, 1
Let 5*t**3/3 + 47*t**2/3 + 58*t/3 + 16/3 = 0. What is t?
-8, -1, -2/5
Solve -15*o**3 + 20*o**2 + 65*o + 30 = 0.
-1, -2/3, 3
Factor -j**3 + 6793*j**2 + 13589*j + 6795.
-(j - 6795)*(j + 1)**2
Let -2*q**5/7 - 1098*q**4/7 - 202024*q**3/7 - 1807936*q**2 - 5224128*q - 3444896 = 0. What is q?
-182, -2, -1
Factor 2*z**5/9 - 308*z**4/9 + 17936*z**3/9 - 473632*z**2/9 + 5048224*z/9 - 8340544/9.
2*(z - 38)**4*(z - 2)/9
Factor 3*m**3/5 + 9*m**2 + 162*m/5 + 24.
3*(m + 1)*(m + 4)*(m + 10)/5
Factor -t**4 - 133*t**3 + t**2 + 133*t.
-t*(t - 1)*(t + 1)*(t + 133)
Let 2*l**4/11 + 20*l**3/11 + 42*l**2/11 - 8*l/11 - 56/11 = 0. Calculate l.
-7, -2, 1
Factor -a**4/5 + 17*a**3/5 - 9*a**2 + 43*a/5 - 14/5.
-(a - 14)*(a - 1)**3/5
Let -2*f**5 + 22*f**4 - 38*f**3 + 18*f**2 = 0. Calculate f.
0, 1, 9
Determine i so that 2*i**4/7 + 8*i**3/7 - 6*i**2/7 - 36*i/7 = 0.
-3, 0, 2
Suppose -t**3/2 + 9*t**2 - 54*t + 108 = 0. What is t?
6
What is b in b**2 - 16*b - 336 = 0?
-12, 28
Determine b so that -2*b**4 - 500*b**3 - 31746*b**2 - 62000*b - 30752 = 0.
-124, -1
Factor -5*a**2 - 760*a - 3675.
-5*(a + 5)*(a + 147)
Factor -g**2/2 + 405*g - 2421/2.
-(g - 807)*(g - 3)/2
Factor -b**4/5 - 3*b**3 - 6*b**2/5 + 124*b/5 + 168/5.
-(b - 3)*(b + 2)**2*(b + 14)/5
Determine s so that -s**2/3 + 16*s/3 + 44 = 0.
-6, 22
Determine c, given that 3*c**5 - 975*c**4 - 6*c**3 + 1950*c**2 + 3*c - 975 = 0.
-1, 1, 325
Solve -5*w**5/2 + 65*w**4/2 + 2915*w**3/2 + 13915*w**2/2 - 19965*w = 0.
-11, 0, 2, 33
Find u, given that 15*u**5 + 5*u**4 - 165*u**3 - 45*u**2 + 350*u + 240 = 0.
-3, -1, 2, 8/3
Determine n so that -n**3 + 13*n**2 + 29*n + 15 = 0.
-1, 15
Factor 5*m**4 - 5*m**3 - 40*m**2 + 60*m.
5*m*(m - 2)**2*(m + 3)
Factor -v**4/2 + 13*v**3 - 177*v**2/2 + 140*v - 64.
-(v - 16)*(v - 8)*(v - 1)**2/2
Determine n so that -n**3 - 786*n**2 - 205932*n - 17984728 = 0.
-262
Determine c so that -3*c**5/2 + 28*c**4 + 33*c**3/2 - 131*c**2 - 42*c + 76 = 0.
-2, -1, 2/3, 2, 19
Determine a so that a**5/2 + 6*a**4 - 10*a**3 - 39*a**2 + 163*a/2 - 39 = 0.
-13, -3, 1, 2
Suppose h**5/5 - 7*h**4/5 - h**3 + 111*h**2/5 - 36*h = 0. Calculate h.
-4, 0, 3, 5
Factor -5*d**2 + 20.
-5*(d - 2)*(d + 2)
Factor -2*u**2/11 - 2836*u/11 - 1005362/11.
-2*(u + 709)**2/11
Suppose -4*b**2 + 12*b - 8 = 0. What is b?
1, 2
What is i in 2*i**5/13 + 36*i**4/13 + 110*i**3/13 - 588*i**2/13 - 760*i/13 + 1200/13 = 0?
-10, -2, 1, 3
Solve 5*j**3 + 445*j**2 - 4825*j + 12375 = 0.
-99, 5
Factor -r**2/4 - 2227*r/2 - 4959529/4.
-(r + 2227)**2/4
Solve -3*i**3 + 4941*i**2 + 3*i - 4941 = 0 for i.
-1, 1, 1647
Factor 5*h**2 - 1495*h - 10710.
5*(h - 306)*(h + 7)
Suppose 4*g**2 + 504*g + 500 = 0. Calculate g.
-125, -1
Factor u**3/9 - 19*u**2 + 506*u/9 - 112/3.
(u - 168)*(u - 2)*(u - 1)/9
Suppose -3*j**5/7 - 15*j**4/7 - 9*j**3/7 + 15*j**2/7 + 12*j/7 = 0. What is j?
-4, -1, 0, 1
Suppose -h**3/3 + 10*h**2 - 84*h + 216 = 0. Calculate h.
6, 18
Factor -3*k**4 - 1110*k**3 - 3312*k**2 - 3306*k - 1101.
-3*(k + 1)**3*(k + 367)
Factor 5*u**2 + 410*u - 840.
5*(u - 2)*(u + 84)
What is h in 3*h**2 + 603*h - 1836 = 0?
-204, 3
Factor -5*g**4 - 30*g**3 + 15*g**2 + 100*g + 60.
-5*(g - 2)*(g + 1)**2*(g + 6)
Factor -2*n**3 + 16*n**2 + 10*n - 168.
-2*(n - 7)*(n - 4)*(n + 3)
Let -4*o**4 - 4*o**3 + 16*o**2 + 16*o = 0. Calculate o.
-2, -1, 0, 2
Factor p**5/4 - p**4 - 19*p**3/4 - 7*p**2/2.
p**2*(p - 7)*(p + 1)*(p + 2)/4
Find x such that 4*x**5/11 - 662*x**4/11 + 27208*x**3/11 + 16426*x**2/11 - 108896*x/11 - 55112/11 = 0.
-2, -1/2, 2, 83
Factor -5*f**2 + 430*f - 9245.
-5*(f - 43)**2
Determine g, given that -2*g**5/7 + 2*g**4/7 + 18*g**3/7 + 22*g**2/7 + 8*g/7 = 0.
-1, 0, 4
Factor 2*t**3/9 - 22*t**2/9 + 26*t/3 - 10.
2*(t - 5)*(t - 3)**2/9
Solve 2*c**2/3 - 370*c