6*v + 31329/2 = 0.
-59, -3/10
Solve r**5 - r**4 - r**3 + r**2 = 0.
-1, 0, 1
Factor -4*j**2/3 - 80*j/3 - 128.
-4*(j + 8)*(j + 12)/3
Factor -s**5/3 + 26*s**4/3 + 40*s**3.
-s**3*(s - 30)*(s + 4)/3
Solve -x**5 + 5*x**4/3 + 2*x**3/3 - 2*x**2 + x/3 + 1/3 = 0.
-1, -1/3, 1
Find p such that -4*p**4 + 6*p**3 + 6*p**2 - 4*p = 0.
-1, 0, 1/2, 2
Factor -q**3 + 10*q**2 - 32*q + 32.
-(q - 4)**2*(q - 2)
Determine c, given that c**2 - 513*c + 512 = 0.
1, 512
Determine h, given that 5*h**5 + 25*h**4 - 1185*h**3 - 8525*h**2 + 9680*h = 0.
-11, 0, 1, 16
Factor 3*a**2/4 - 1053*a/4 + 1047/2.
3*(a - 349)*(a - 2)/4
Factor -5*j**3 + 35*j**2 + 40*j.
-5*j*(j - 8)*(j + 1)
Factor -3*q**4 + 33*q**3 - 99*q**2 + 15*q + 150.
-3*(q - 5)**2*(q - 2)*(q + 1)
Let -v**3/2 - 5*v**2/2 + v/2 + 5/2 = 0. What is v?
-5, -1, 1
Let -4*q**2/5 - 2848*q/5 + 1716 = 0. Calculate q.
-715, 3
Factor -6*d**4 + 176*d**3 + 120*d**2.
-2*d**2*(d - 30)*(3*d + 2)
Find t, given that -5*t**4 + 175*t**3 - 330*t**2 = 0.
0, 2, 33
Determine u, given that u**4 + 28*u**3 + 226*u**2 + 708*u + 765 = 0.
-17, -5, -3
Factor -2*q**2/9 - 22*q/9 + 8/3.
-2*(q - 1)*(q + 12)/9
Suppose -c**5/3 - 2*c**4/3 + 8*c**3/3 = 0. What is c?
-4, 0, 2
Let -o**3 - 163*o**2 - 1519*o + 1683 = 0. What is o?
-153, -11, 1
Factor -18*c**2 + 273*c - 474.
-3*(c - 2)*(6*c - 79)
Find s, given that -2*s**4/3 - 26*s**3/15 - 2*s**2/15 + 26*s/15 + 4/5 = 0.
-2, -1, -3/5, 1
Factor 15*q**2/2 - q/2 - 7.
(q - 1)*(15*q + 14)/2
Find y such that -5*y**4 - 55*y**3 + 1950*y**2 = 0.
-26, 0, 15
Suppose -p**3/6 + 49*p**2/6 + 83*p/3 - 260/3 = 0. Calculate p.
-5, 2, 52
Factor 4*n**2 - 116*n + 112.
4*(n - 28)*(n - 1)
Factor -4*r**4 + 28*r**3 + 340*r**2 - 364*r.
-4*r*(r - 13)*(r - 1)*(r + 7)
Solve 2*u**3 - 264*u**2 + 10266*u - 97468 = 0.
14, 59
Determine p, given that 4*p**3 - 1584*p**2 = 0.
0, 396
Solve -2*l**2/9 + 1604*l/9 = 0 for l.
0, 802
What is b in 3*b**3 - 45*b**2 + 216*b - 324 = 0?
3, 6
Find j such that -j**3/2 - 119*j**2/2 - 1740*j + 1800 = 0.
-60, 1
Factor -i**2/3 - 115*i - 342.
-(i + 3)*(i + 342)/3
Determine b, given that -4*b**2 - 48*b - 140 = 0.
-7, -5
Suppose z**5/7 + 9*z**4/7 - 40*z**3/7 - 304*z**2/7 + 768*z/7 + 1024/7 = 0. Calculate z.
-8, -1, 4
Factor 2*j**2 - 52*j - 544.
2*(j - 34)*(j + 8)
Factor -x**2 + 39*x + 40.
-(x - 40)*(x + 1)
Factor -s**2 - 11*s - 10.
-(s + 1)*(s + 10)
Factor -d**3/5 + 73*d**2/5 - 279*d/5 + 207/5.
-(d - 69)*(d - 3)*(d - 1)/5
Find y, given that 2*y**4 + 38*y**3 + 156*y**2 + 232*y + 112 = 0.
-14, -2, -1
Factor p**2/3 + 250*p/3 + 15625/3.
(p + 125)**2/3
Factor n**5 - 13*n**4 + 60*n**3 - 112*n**2 + 64*n.
n*(n - 4)**3*(n - 1)
Determine z so that -2*z**2/13 + 30*z/13 - 4 = 0.
2, 13
Factor d**5/7 + 3*d**4/7 - 9*d**3/7 + 5*d**2/7.
d**2*(d - 1)**2*(d + 5)/7
Factor -2*w**3 - 384*w**2.
-2*w**2*(w + 192)
Solve -2*p**2/5 - 74*p + 6868/5 = 0 for p.
-202, 17
Find a such that 15*a**5 - 115*a**4 + 65*a**3 + 35*a**2 = 0.
-1/3, 0, 1, 7
Find f such that 3*f**4/5 + 72*f**3/5 + 423*f**2/5 + 642*f/5 + 288/5 = 0.
-16, -6, -1
Factor 4*f**4 + 384*f**3 - 780*f**2 + 392*f.
4*f*(f - 1)**2*(f + 98)
Factor -2*f**3/5 - 18*f**2/5 - 16*f/5.
-2*f*(f + 1)*(f + 8)/5
Factor -27*j**2/2 + 623*j/2 - 23.
-(j - 23)*(27*j - 2)/2
Solve -3*o**2 + 33*o + 36 = 0.
-1, 12
Factor 2*g**3/17 - 22*g**2/17 + 62*g/17 - 42/17.
2*(g - 7)*(g - 3)*(g - 1)/17
Find m, given that 20*m**5 - 464*m**4 + 3332*m**3 - 7448*m**2 + 5360*m - 800 = 0.
1/5, 1, 2, 10
Factor o**4 - o**3 - 2*o**2.
o**2*(o - 2)*(o + 1)
Suppose -2*b**2 - 8*b - 8 = 0. What is b?
-2
Factor 117*n**3/2 - 282*n**2 + 721*n/2 - 49.
(3*n - 7)**2*(13*n - 2)/2
Factor -2*z**2/3 - 64*z/3 + 22.
-2*(z - 1)*(z + 33)/3
Factor -2*k**2 + 22*k + 24.
-2*(k - 12)*(k + 1)
Find t such that -4*t**4 + 52*t**3 - 40*t**2 - 96*t = 0.
-1, 0, 2, 12
Factor -t**3 + 5*t**2 - 6*t.
-t*(t - 3)*(t - 2)
Factor -3*u**4 - 21*u**3 - 54*u**2 - 60*u - 24.
-3*(u + 1)*(u + 2)**3
Find f, given that -3*f**3/2 + 27*f**2 - 261*f/2 + 165 = 0.
2, 5, 11
Find b such that -b**4/9 - 5*b**3/9 - 8*b**2/9 - 4*b/9 = 0.
-2, -1, 0
Factor 3*y**3 - 9*y**2 - 3*y + 9.
3*(y - 3)*(y - 1)*(y + 1)
Let 4*u**3/3 - 752*u**2 + 2252*u/3 = 0. What is u?
0, 1, 563
Determine i, given that 2*i**5/15 - 4*i**4/15 - 22*i**3/15 + 16*i**2/15 + 8*i/3 - 32/15 = 0.
-2, 1, 4
Find i, given that 2*i**5/11 - 16*i**4/11 + 50*i**3/11 - 76*i**2/11 + 56*i/11 - 16/11 = 0.
1, 2
Let -3*y**5/4 - 3*y**4 + 3*y**3/4 + 12*y**2 + 9*y = 0. What is y?
-3, -2, -1, 0, 2
What is y in -3*y**5/7 - 18*y**4/7 - 24*y**3/7 + 18*y**2/7 + 27*y/7 = 0?
-3, -1, 0, 1
Factor 34*j**2/3 - 4390*j/9 + 172/9.
2*(j - 43)*(51*j - 2)/9
Factor -2*v**2/7 + 74*v/7 + 240/7.
-2*(v - 40)*(v + 3)/7
Factor a**3/4 - 3*a**2/2 - 13*a/4 + 21/2.
(a - 7)*(a - 2)*(a + 3)/4
Find w such that 2*w**3 + 32*w**2 + 90*w - 324 = 0.
-9, 2
Factor -25*v**2 - 1090*v + 440.
-5*(v + 44)*(5*v - 2)
Factor -t**5/3 + 89*t**4/3 - 2731*t**3/3 + 34615*t**2/3 - 193256*t/3 + 396508/3.
-(t - 34)**2*(t - 7)**3/3
Determine l so that -147*l**3 + 43302*l**2 - 24708*l + 3528 = 0.
2/7, 294
Factor 2*i**4/7 - 12*i**3 + 1080*i**2/7 - 2700*i/7 - 20250/7.
2*(i - 15)**3*(i + 3)/7
Factor 5*x**5 - 20*x**4 - 50*x**3 + 140*x**2 - 75*x.
5*x*(x - 5)*(x - 1)**2*(x + 3)
Find m such that -m**4/6 - 2*m**3/3 - 5*m**2/6 - m/3 = 0.
-2, -1, 0
Factor -z**3/7 + 29*z**2/7 - 243*z/7 + 495/7.
-(z - 15)*(z - 11)*(z - 3)/7
Factor -y**4 - 6*y**3 + 7*y**2.
-y**2*(y - 1)*(y + 7)
Factor -5*r**4 - 5*r**3 + 30*r**2.
-5*r**2*(r - 2)*(r + 3)
What is m in 4*m**5/7 + 12*m**4/7 - 72*m**3/7 - 216*m**2/7 + 324*m/7 + 972/7 = 0?
-3, 3
Factor 3*y**4/7 - 132*y**3/7 + 711*y**2/7 - 1026*y/7.
3*y*(y - 38)*(y - 3)**2/7
Determine r so that -3*r**4 + 9*r**3 + 354*r**2 - 360*r = 0.
-10, 0, 1, 12
Factor -5*d**3 + 485*d**2 - 955*d + 475.
-5*(d - 95)*(d - 1)**2
Factor -3*a**2 - 177*a + 366.
-3*(a - 2)*(a + 61)
Factor -3*z**3/4 + 3*z**2/2 + 621*z/4 - 972.
-3*(z - 9)**2*(z + 16)/4
Determine f, given that f**2 + 30*f = 0.
-30, 0
What is j in 3*j**2/2 - 383*j/2 - 64 = 0?
-1/3, 128
Suppose a**4/2 + 7*a**3/2 + 17*a**2/2 + 17*a/2 + 3 = 0. What is a?
-3, -2, -1
Solve 2*s**4/3 - 32*s**3/3 - 8*s**2/3 + 128*s/3 = 0 for s.
-2, 0, 2, 16
Factor 98*q**4 - 168*q**3 - 390*q**2 + 676*q.
2*q*(q + 2)*(7*q - 13)**2
Find j such that -2*j**4/7 + 4*j**3 - 48*j**2/7 = 0.
0, 2, 12
Find n such that 2*n**2/9 + 38*n/9 - 28/3 = 0.
-21, 2
Factor -3*k**2/2 - 4671*k - 7272747/2.
-3*(k + 1557)**2/2
Find f, given that -2*f**3/7 - 48*f**2/7 - 82*f/7 + 132/7 = 0.
-22, -3, 1
Factor 14*x**2 - 1922*x + 548.
2*(x - 137)*(7*x - 2)
Let -3*q**4 + 1213*q**3/3 + 93*q**2 - 1213*q/3 - 90 = 0. What is q?
-1, -2/9, 1, 135
Factor -2*z**3 - 106*z**2.
-2*z**2*(z + 53)
Find y, given that 5*y**4 + 65*y**3 + 95*y**2 - 165*y = 0.
-11, -3, 0, 1
Let 4*q**2 + 2852*q + 2848 = 0. What is q?
-712, -1
Factor 3*f**2 + 8595*f.
3*f*(f + 2865)
Let -15*l**5 + 455*l**4 + 795*l**3 + 165*l**2 - 160*l = 0. Calculate l.
-1, 0, 1/3, 32
What is v in -v**5 - 19*v**4/4 - 19*v**3/4 + 3*v**2/2 = 0?
-3, -2, 0, 1/4
What is b in b**4/3 - b**3 + 4*b/3 = 0?
-1, 0, 2
Factor z**5/5 + 9*z**4/5 + 3*z**3 - 5*z**2.
z**2*(z - 1)*(z + 5)**2/5
Let 12*u**4 + 252*u**3 + 1191*u**2 - 1386*u + 363 = 0. What is u?
-11, 1/2
Suppose 4*j**2/3 - 220*j/3 - 488 = 0. What is j?
-6, 61
Factor 5*s**3 + 105*s**2 + 100*s.
5*s*(s + 1)*(s + 20)
Factor -4*w**2 - 76*w - 136.
-4*(w + 2)*(w + 17)
Factor -g**3 - 131*g**2/3 + 106*g - 184/3.
-(g - 1)*(g + 46)*(3*g - 4)/3
Solve -b**4/3 - 16*b**3/3 - 64*b**2/3 = 0.
-8, 0
Find r, given that 4*r**4 - 28*r**3 + 68*r**2 - 68*r + 24 = 0.
1, 2, 3
Factor -2*n**4/3 + 16*n**2 + 128*n/3 + 32.
-2*(n - 6)*(n + 2)**3/3
Find f, given that 3*f**4/8 + 16*f**3 + 703*f**2/4 + 105*f - 441/8 = 0.
-21, -1, 1/3
Find o such that -3*o**2/2 - 405*o - 54675/2 = 0.
-135
Suppose 8*k**2/7 - 6*k/7 - 54/7 = 0. Calculate k.
-9/4, 3
Let i**5/6 - 52*i**4 + 311*i**3/6 = 0. What is i?
0, 1, 311
Factor 21*d**4 + 102*d**3 - 15*d**2.
3*d**2*(d + 5)*(7*d - 1)
Find c, given that c**4 - 9*c**3 + 13*c**2 + 9*c - 14 = 0.
-1, 1, 2, 7
Factor -3*r**5/5 - 36*r**4/5 + 36*r**3 + 2784*r**2/5 - 2304*r/5 - 55296/5.
-3*(r - 6)**2*(r + 8)**3/5
Factor x**4 + x**3 - 2*x**2.
x**2*(x - 1)*(x + 2)
Suppose 5*i**3 + 15*i**2 - 65*i - 75 = 0. What is i?
-5, -1, 3
Factor 9*o**2 - 125*o - 14.
(o - 14)*(9*o + 1)
Let 3*g**3/8 - 2979*g**2/8 + 5949*g/8 - 2973/8 = 0. What is g?
