.
0, 1/2, 62/3
Find r such that 3*r**5/4 - 5*r**4 - 4*r**3 + 33*r**2/2 - 19*r/4 - 7/2 = 0.
-2, -1/3, 1, 7
Find t such that t**5/5 - 186*t**4/5 + 8649*t**3/5 = 0.
0, 93
Suppose 6*j**3/7 - 1466*j**2/7 - 140*j = 0. Calculate j.
-2/3, 0, 245
Determine z so that -2*z**2/3 - 8*z + 30 = 0.
-15, 3
What is h in -2*h**2 + 10*h - 8 = 0?
1, 4
Factor -m**2/2 + 2729*m/2 - 1364.
-(m - 2728)*(m - 1)/2
Find k, given that k**4/2 + 2*k**3 + 3*k**2/2 - 2*k - 2 = 0.
-2, -1, 1
Find s such that -s**4/4 - 5*s**3/2 - 8*s**2 - 8*s = 0.
-4, -2, 0
What is f in f**3 - 103*f**2 + 2800*f - 7500 = 0?
3, 50
Determine c so that -28*c**5 - 244*c**4 - 684*c**3 - 540*c**2 + 216*c = 0.
-3, 0, 2/7
Factor 2*d**3 - 238*d**2.
2*d**2*(d - 119)
Suppose 4*i**2 - 248*i - 252 = 0. Calculate i.
-1, 63
Factor 39200*r**2 + 560*r + 2.
2*(140*r + 1)**2
Factor w**3 + 11*w**2 - 25*w + 13.
(w - 1)**2*(w + 13)
Find o, given that 2*o**3 - 6*o**2 + 4*o = 0.
0, 1, 2
Find h, given that -2*h**4/3 - 10*h**3/3 + 136*h**2/3 - 120*h + 96 = 0.
-12, 2, 3
Let 6*t**4/11 + 3500*t**3/11 + 509246*t**2/11 - 342224*t/11 - 170528/11 = 0. What is t?
-292, -1/3, 1
Determine o, given that o**4/2 + 7*o**3/3 + 5*o**2/6 - 7*o/3 - 4/3 = 0.
-4, -1, -2/3, 1
What is v in 5*v**4 + 15*v**3 - 20*v = 0?
-2, 0, 1
Determine b so that 2*b**5/3 - b**4/6 - 2*b**3/3 + b**2/6 = 0.
-1, 0, 1/4, 1
Solve -3*a**4 + 18*a**3 - 27*a**2 - 12*a + 36 = 0.
-1, 2, 3
Factor 6*g**2 - 164*g/5 + 112/5.
2*(3*g - 14)*(5*g - 4)/5
Determine f so that -f**4/7 - 5*f**3/7 - 8*f**2/7 - 4*f/7 = 0.
-2, -1, 0
Find p, given that -p**3 - 32*p**2 - 115*p - 84 = 0.
-28, -3, -1
Factor 4*z**3 - 1692*z**2 - 4*z + 1692.
4*(z - 423)*(z - 1)*(z + 1)
Factor 6*r**3 - 10*r**2 - 4*r.
2*r*(r - 2)*(3*r + 1)
Factor -2*m**3/19 + 4*m**2/19 + 48*m/19.
-2*m*(m - 6)*(m + 4)/19
Find j such that 2*j**2/9 + 242*j/3 + 1444/9 = 0.
-361, -2
Factor 3*t**2 + 162*t + 159.
3*(t + 1)*(t + 53)
Suppose -2*q**2/11 - 150*q/11 - 828/11 = 0. Calculate q.
-69, -6
Factor -4*x**3 + 168*x**2 + 1372*x.
-4*x*(x - 49)*(x + 7)
Solve -2*b**3 - 4*b**2 + 48*b = 0 for b.
-6, 0, 4
What is d in 2*d**4/15 + 8*d**3/3 + 148*d**2/15 - 8*d/3 - 10 = 0?
-15, -5, -1, 1
Find r such that -3*r**3/2 + 459*r**2 - 1827*r/2 + 456 = 0.
1, 304
Factor 2*d**3/7 + 2796*d**2/7 + 979992*d/7 + 1948816/7.
2*(d + 2)*(d + 698)**2/7
Factor 157*k**3/9 + 944*k**2/9 - 1087*k/9 - 14/9.
(k - 1)*(k + 7)*(157*k + 2)/9
Solve -3*l**3 - 9*l**2 + 135*l + 525 = 0.
-5, 7
Factor -a**3 + 40*a**2.
-a**2*(a - 40)
Factor 2*w**2 - 38*w + 140.
2*(w - 14)*(w - 5)
What is n in -5120*n**3 + 12480*n**2 + 8235*n + 1215 = 0?
-9/32, 3
Determine r, given that 2*r**3/17 + 1932*r**2/17 + 622104*r/17 + 66772496/17 = 0.
-322
Suppose 1347*u**2 + 1353*u + 6 = 0. Calculate u.
-1, -2/449
Factor 4*t**4 - 4240*t**3 + 1119348*t**2 + 2255688*t.
4*t*(t - 531)**2*(t + 2)
Suppose 2*j**3/13 + 12*j**2/13 - 32*j/13 = 0. What is j?
-8, 0, 2
What is v in -4*v**4 + 8*v**3 + 28*v**2 + 16*v = 0?
-1, 0, 4
Solve -18*y**5/7 - 66*y**4/7 + 6*y**3 + 66*y**2/7 - 24*y/7 = 0.
-4, -1, 0, 1/3, 1
Factor -5*q**3 + 650*q**2 + 45*q - 5850.
-5*(q - 130)*(q - 3)*(q + 3)
Factor -t**3/2 - 6*t**2 - 21*t/2 - 5.
-(t + 1)**2*(t + 10)/2
Determine c, given that 5*c**3 + 20*c**2 - 25*c = 0.
-5, 0, 1
What is x in 8*x**4 - 181*x**3 + 411*x**2 + 180*x = 0?
-3/8, 0, 3, 20
Find x, given that -4*x**5 - 32*x**4 + 100*x**3 + 176*x**2 - 240*x = 0.
-10, -2, 0, 1, 3
Suppose -3*k**2/2 - 97*k/4 - 4 = 0. What is k?
-16, -1/6
Solve d**3 - 24*d**2 = 0 for d.
0, 24
Factor 2*h**2/5 - 408*h/5 + 406/5.
2*(h - 203)*(h - 1)/5
Solve 6*s**2 + 7282*s + 4852 = 0.
-1213, -2/3
Determine z, given that -2*z**2 + 220*z/9 - 16/3 = 0.
2/9, 12
Factor 3*z**4/5 + 38*z**3/5 + 87*z**2/5 - 252*z/5 - 196/5.
(z - 2)*(z + 7)**2*(3*z + 2)/5
Suppose 3*o**3/5 + 51*o**2/5 + 18*o = 0. What is o?
-15, -2, 0
Factor l**2/4 + 169*l/2 + 28561/4.
(l + 169)**2/4
Find a, given that -a**2/4 - 505*a/4 + 253/2 = 0.
-506, 1
Factor -6*g**2 - 40*g + 14.
-2*(g + 7)*(3*g - 1)
Solve -4*f**3 + 69*f**2 - 81*f + 16 = 0.
1/4, 1, 16
Let x**5/8 + 5*x**4/8 - 3*x**3/8 - 29*x**2/8 + x/4 + 3 = 0. Calculate x.
-4, -3, -1, 1, 2
Factor 3*p**4 + 9*p**3/2 - 15*p**2/2.
3*p**2*(p - 1)*(2*p + 5)/2
Suppose 12*w**3 + 321*w**2 + 234*w = 0. Calculate w.
-26, -3/4, 0
Find g, given that -g**2 - 104*g - 679 = 0.
-97, -7
Solve -t**4/3 - 13*t**3/3 + t**2/3 + 13*t/3 = 0 for t.
-13, -1, 0, 1
Factor -3*v**3 + 15*v**2.
-3*v**2*(v - 5)
Determine l, given that l**4/3 - 19*l**2/3 - 10*l = 0.
-3, -2, 0, 5
Suppose -7*g**4/3 + 3*g**3 + 46*g**2 - 40*g/3 = 0. What is g?
-4, 0, 2/7, 5
Let -150*i**5 - 455*i**4 - 15*i**3 = 0. Calculate i.
-3, -1/30, 0
Factor w**3/2 - 5*w**2/4 + w/2.
w*(w - 2)*(2*w - 1)/4
Factor 4*k**2 - 224*k + 432.
4*(k - 54)*(k - 2)
Let b**5/5 - 12*b**4/5 + 47*b**3/5 - 72*b**2/5 + 36*b/5 = 0. What is b?
0, 1, 2, 3, 6
Determine n, given that -2*n**2/7 + 20*n/7 - 18/7 = 0.
1, 9
Factor d**4 + 45*d**3 + 646*d**2 + 3420*d + 4600.
(d + 2)*(d + 10)**2*(d + 23)
Solve k**2 + 172*k - 2208 = 0 for k.
-184, 12
Factor -3*r**3 + 60*r**2 + 279*r + 216.
-3*(r - 24)*(r + 1)*(r + 3)
Suppose -4*p**4 - 1076*p**3/3 + 7664*p**2/9 - 5872*p/9 + 1472/9 = 0. What is p?
-92, 2/3, 1
Factor -a**2 - 47*a - 342.
-(a + 9)*(a + 38)
Suppose -4*a**2 - 2500*a + 2504 = 0. Calculate a.
-626, 1
Suppose -2*f**4/9 + 4*f**3/3 + 10*f**2/3 + 16*f/9 = 0. Calculate f.
-1, 0, 8
Determine o, given that -12*o**4 + 64*o**3 - 96*o**2 + 64 = 0.
-2/3, 2
Factor -2*u**2/9 + 52*u/9 - 32/3.
-2*(u - 24)*(u - 2)/9
Factor -h**3/3 - 3*h**2 + 22*h - 56/3.
-(h - 4)*(h - 1)*(h + 14)/3
Suppose 5*b**4 - 20*b**3 + 10*b**2 + 20*b - 15 = 0. Calculate b.
-1, 1, 3
What is q in -1344*q**3 + 4752*q**2 - 4797*q + 1014 = 0?
2/7, 13/8
What is h in -5*h**4 + 75*h**3 + 705*h**2 - 1615*h + 840 = 0?
-8, 1, 21
Let k**3/4 - 45*k**2/4 + 247*k/2 = 0. What is k?
0, 19, 26
Factor u**3/4 - 7*u**2/4 - 9*u/2.
u*(u - 9)*(u + 2)/4
Factor 18*f**2/17 - 284*f/17 - 64/17.
2*(f - 16)*(9*f + 2)/17
Find a, given that 4*a**2 - 16368*a + 16744464 = 0.
2046
Let -w**2/6 - 5*w/3 - 7/2 = 0. Calculate w.
-7, -3
Factor 2*t**3/5 + 1178*t**2/5 + 2348*t/5.
2*t*(t + 2)*(t + 587)/5
Solve 3*k**2 + 444*k + 16428 = 0.
-74
Factor b**3/2 - 46*b**2 + 91*b/2.
b*(b - 91)*(b - 1)/2
Let 5*z**4 - 17435*z**3 + 20253645*z**2 - 7824611665*z - 15730377470 = 0. Calculate z.
-2, 1163
Let -u**4/6 + 271*u**3/6 + 136*u**2/3 = 0. What is u?
-1, 0, 272
Find o, given that 2*o**5 - 104*o**4 - 216*o**3 - 4*o**2 + 214*o + 108 = 0.
-1, 1, 54
What is y in 4*y**5 + 20*y**4 + 24*y**3 - 16*y**2 - 32*y = 0?
-2, 0, 1
Find c, given that c**2 + 265*c - 534 = 0.
-267, 2
Determine h so that h**2/2 - 29*h + 841/2 = 0.
29
Let h**4/5 - 6*h**3/5 - h**2/5 + 6*h/5 = 0. Calculate h.
-1, 0, 1, 6
Factor s**3/4 - 3*s**2 + 5*s/4 + 33/2.
(s - 11)*(s - 3)*(s + 2)/4
Determine y, given that 3*y**2 - 18*y = 0.
0, 6
Find a such that -a**4 + 2*a**3 + 17*a**2 - 18*a - 72 = 0.
-3, -2, 3, 4
Determine t, given that 9*t**2 + 6*t + 1 = 0.
-1/3
Factor -4*b**3 - 80*b**2 + 3072*b + 64512.
-4*(b - 28)*(b + 24)**2
Solve -2*a**3 + 34*a**2 - 142*a + 110 = 0.
1, 5, 11
Let 5*v**5 - 55*v**4 - 40*v**3 + 440*v**2 + 80*v - 880 = 0. Calculate v.
-2, 2, 11
Factor 3*p**5 + 372*p**4 + 11898*p**3 + 22692*p**2 + 11163*p.
3*p*(p + 1)**2*(p + 61)**2
Factor 5*j**3/2 - 815*j**2/2 + 1205*j - 800.
5*(j - 160)*(j - 2)*(j - 1)/2
Factor p**2/4 + 28*p - 113/4.
(p - 1)*(p + 113)/4
Solve 5*j**5 + 50*j**4 + 155*j**3 + 130*j**2 - 140*j - 200 = 0 for j.
-5, -2, 1
Suppose -4*i**2/5 - 4*i + 120 = 0. What is i?
-15, 10
Let -9*i**5/2 - 42*i**4 - 104*i**3 - 88*i**2 - 24*i = 0. What is i?
-6, -2, -2/3, 0
Let z**3/4 - 3*z**2/4 + z/2 = 0. Calculate z.
0, 1, 2
Suppose -3*t**3/5 - 966*t**2/5 - 3828*t/5 - 3816/5 = 0. Calculate t.
-318, -2
Determine a so that -4*a**4 + 136*a**3 - 1284*a**2 + 2176*a - 1024 = 0.
1, 16
Suppose v**3/5 + v**2 - 6*v/5 = 0. Calculate v.
-6, 0, 1
Determine y, given that -2*y**3 + 1856*y**2 - 432442*y + 857476 = 0.
2, 463
Let -2*v**4/13 + 4*v**3/13 + 40*v**2/13 - 132*v/13 + 90/13 = 0. What is v?
-5, 1, 3
Factor -2*m**3/7 + 144*m**2/7 + 600*m/7 + 608/7.
-2*(m - 76)*(m + 2)**2/7
Suppose 4*m**2/7 + 4*m + 40/7 = 0. What is m?
-5, -2
Factor 2*v**5/17 - 120*v**4/17 + 2130*v**3/17 - 5060*v**2/17 - 101640*v/17 - 191664/17.
2*(v - 22)**3*(v + 3)**2/17
Suppose -k**4/4 + 5*k**3/4 + 11*k**2/2 + 4*k =